Metrics for math.exp on complex, real part

analyze0.0ms (0%)

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 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample811.0ms (3.6%)

Results

557.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 353.0ms

ival-cos: 214.0ms (60.7% of total)

ival-mult: 68.0ms (19.3% of total)

ival-exp: 60.0ms (17% of total)

const: 7.0ms (2% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess21.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

222×	`fma-define`
184×	`sum3-define`
124×	`fmsub-define`
100×	`fnmadd-define`
60×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	39	34
2	73	32
3	110	32
4	198	32
5	308	32
6	373	32
7	458	32
8	662	32
9	662	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))))
(fnmsub (exp re) (cos im) 0)
(* (exp im) (cos re))

Symmetry

(abs im)

explain59.0ms (0.3%)

FPErrors

Click to see full error table

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

Results

40.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-cos: 13.0ms (56.2% of total)

ival-mult: 5.0ms (21.6% of total)

ival-exp: 4.0ms (17.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0%)

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

localize49.0ms (0.2%)

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))

Results

42.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 7.0ms (62.4% of total)

ival-exp: 2.0ms (17.8% of total)

ival-mult: 2.0ms (17.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0%)

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
4.0ms	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))

rewrite22.0ms (0.1%)

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)

simplify196.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1922×	`-lowering-.f32`
1922×	`-lowering-.f64`
1832×	`sum3-define`
1604×	`fnmadd-define`
1524×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	277
1	186	250
2	587	247
3	1523	242
4	2063	242
5	2744	242
6	3594	242
7	4443	242
8	5873	242
0	8029	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) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 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) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 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) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 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))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 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)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 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%)

Compiler: Compiled 358 to 48 computations (86.6% saved)

prune8.0ms (0%)

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
▶	53.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	69.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
	64.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
▶	59.7%	(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	64.6%	(exp.f64 re)
▶	52.3%	(cos.f64 im)

Compiler

Compiled 127 to 93 computations (26.8% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

1850×	`fma-define`
1432×	`fma-lowering-fma.f32`
1432×	`fma-lowering-fma.f64`
620×	`-lowering-.f32`
620×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	122
1	55	108
2	155	108
3	395	108
4	778	108
5	1569	108
6	2355	108
7	2392	108
0	2392	108

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize339.0ms (1.5%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 im im))
✓	accuracy	94.6%	(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	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	99.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	accuracy	99.8%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))

Results

71.0ms

256×

valid

Compiler

Compiled 125 to 22 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 14.0ms (38.5% of total)

ival-add: 8.0ms (22% of total)

ival-cos: 7.0ms (19.2% of total)

...c/correct-round.rkt:119:19: 5.0ms (13.7% of total)

ival-exp: 2.0ms (5.5% of total)

const: 1.0ms (2.7% of total)

backward-pass: 0.0ms (0% of total)

series20.0ms (0.1%)

Counts

13 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
8.0ms	re	@	-inf	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (cos im))
1.0ms	re	@	-inf	(* (+ re 1) (cos im))
1.0ms	im	@	inf	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (cos im))
1.0ms	re	@	inf	(* (exp re) (+ 1 (* -1/2 (* im im))))
1.0ms	im	@	0	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (cos im))

rewrite320.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4040×	`-lowering-.f32`
4040×	`-lowering-.f64`
3246×	`/-lowering-/.f32`
3246×	`/-lowering-/.f64`
2206×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	113	81
2	1050	81
0	8312	81

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 409

Calls

Call 1

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

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

simplify368.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

5848×	`+-lowering-+.f64`
5848×	`+-lowering-+.f32`
3702×	`-lowering-.f32`
3702×	`-lowering-.f64`
1456×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	1732
1	688	1540
2	2918	1466
0	9042	1466

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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)))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* 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)))))
(* 1/6 (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)) 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
(+ 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 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/2 re)
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))

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

eval75.0ms (0.3%)

Compiler: Compiled 16955 to 1722 computations (89.8% saved)

prune87.0ms (0.4%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	631	17	648
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	631	24	655

Accuracy

100.0%

Counts

655 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.2%	(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
	53.9%	(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))
	26.9%	(+.f64 re #s(literal 1 binary64))
▶	29.4%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
	26.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
	36.7%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
	34.4%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	26.9%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
	56.3%	(.f64 (/.f64 (-.f64 (.f64 re re) (.f64 (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (-.f64 re (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (cos.f64 im))
	55.4%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 (.f64 re (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))) (cos.f64 im))
▶	69.2%	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
▶	28.6%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	53.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	69.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
	35.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
	64.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
	36.0%	(.f64 (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re)))) (cos.f64 im))
	26.8%	(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
	48.2%	(.f64 (exp.f64 re) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 im im) (.f64 im im)))) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
✓	59.7%	(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	64.6%	(exp.f64 re)
✓	52.3%	(cos.f64 im)
▶	26.4%	#s(literal 1 binary64)

Compiler

Compiled 871 to 483 computations (44.5% saved)

simplify181.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
✓	cost-diff	0	(cos.f64 im)
✓	cost-diff	128	(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))
✓	cost-diff	0	(*.f64 im im)
✓	cost-diff	0	(.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 im im))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
✓	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	cost-diff	0	(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) re)
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	cost-diff	0	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))

Rules

3788×	`fma-define`
2818×	`fma-lowering-fma.f32`
2818×	`fma-lowering-fma.f64`
1144×	`sum3-define`
1084×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	261
1	98	230
2	332	230
3	1104	230
4	2590	230
5	3182	230
6	3492	230
7	3856	230
8	4190	230
9	4346	230
10	5693	230
11	5846	230
12	5874	230
13	5881	230
14	5881	230
0	5881	230

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize204.0ms (0.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
✓	accuracy	99.8%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
✓	accuracy	99.9%	(.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64)))))))
✓	accuracy	99.8%	(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64)))))
✓	accuracy	99.8%	(.f64 im (.f64 im #s(literal -1/720 binary64)))
✓	accuracy	99.7%	(*.f64 im #s(literal -1/720 binary64))
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 im im))
✓	accuracy	100.0%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	accuracy	99.9%	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
✓	accuracy	99.9%	(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
✓	accuracy	99.8%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))

Results

129.0ms

256×

valid

Compiler

Compiled 271 to 34 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-add: 25.0ms (32.4% of total)

ival-mult: 24.0ms (31.1% of total)

...c/correct-round.rkt:119:19: 17.0ms (22.1% of total)

ival-cos: 7.0ms (9.1% of total)

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

const: 1.0ms (1.3% of total)

backward-pass: 0.0ms (0% of total)

series19.0ms (0.1%)

Counts

21 → 288

Calls

Call 1

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

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 (* (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>
#<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 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 (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))>
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))>
#<alt (* (pow re 2) (+ 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))))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 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))))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 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))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))>
#<alt (* re (+ 1 (* -1/2 (pow im 2))))>
#<alt (* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))>
#<alt (* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))>
#<alt (* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))>
#<alt (* re (+ 1 (* -1/2 (pow im 2))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))>
#<alt (+ 1 re)>
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))>
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))>
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))>
#<alt (* -1/2 (* (pow im 2) (+ 1 re)))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))>
#<alt (* -1/2 (* (pow im 2) (+ 1 re)))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))>
#<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>
#<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 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (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 (pow im 2))>
#<alt (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))>
#<alt (* (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))) (+ 1/720 (/ 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))) (+ 1/720 (/ 1/2 (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 -1/2>
#<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 (* 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 (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>
#<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 (* -1 re))>
#<alt (+ 1 (* re (- (* 1/2 re) 1)))>
#<alt (+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))>
#<alt (/ 6 (pow re 3))>
#<alt (/ (- 6 (* 18 (/ 1 re))) (pow re 3))>
#<alt (/ (- (+ 6 (/ 18 (pow re 2))) (* 18 (/ 1 re))) (pow re 3))>
#<alt (/ (- (+ 6 (+ (* 18 (/ 1 (pow re 3))) (/ 18 (pow re 2)))) (* 18 (/ 1 re))) (pow re 3))>
#<alt (/ 6 (pow re 3))>
#<alt (* -1 (/ (- (* 18 (/ 1 re)) 6) (pow re 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 re)) 18) re)) 6) (pow re 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* 18 (/ 1 re)) (/ 18 (pow re 2))) 18) re)) 6) (pow re 3)))>
#<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 (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* 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))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 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))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1/720 im)>
#<alt (* -1/720 im)>
#<alt (* -1/720 im)>
#<alt (* -1/720 im)>
#<alt (* -1/720 im)>
#<alt (* -1/720 im)>
#<alt (* -1/720 im)>
#<alt (* -1/720 im)>
#<alt (* -1/720 im)>
#<alt (* -1/720 im)>
#<alt (* -1/720 im)>
#<alt (* -1/720 im)>
#<alt (* -1/720 (pow im 2))>
#<alt (* -1/720 (pow im 2))>
#<alt (* -1/720 (pow im 2))>
#<alt (* -1/720 (pow im 2))>
#<alt (* -1/720 (pow im 2))>
#<alt (* -1/720 (pow im 2))>
#<alt (* -1/720 (pow im 2))>
#<alt (* -1/720 (pow im 2))>
#<alt (* -1/720 (pow im 2))>
#<alt (* -1/720 (pow im 2))>
#<alt (* -1/720 (pow im 2))>
#<alt (* -1/720 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))>
#<alt (* (pow im 2) (+ 1/24 (* -1/720 (pow im 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))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<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))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>

Calls

72 calls:

Time	Variable		Point	Expression
5.0ms	re	@	0	(/ 1 (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))))
2.0ms	im	@	0	(+ -1/2 (* (* im im) (+ 1/24 (* im (* im -1/720)))))
1.0ms	im	@	inf	(* (+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6))))) (cos im))
1.0ms	im	@	-inf	(* im -1/720)
0.0ms	im	@	0	(* (+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6))))) (cos im))

rewrite539.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3806×	`-lowering-.f32`
3806×	`-lowering-.f64`
2848×	`fma-lowering-fma.f32`
2848×	`fma-lowering-fma.f64`
2680×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	189
1	230	166
2	2354	166
0	9006	166

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1096

Calls

Call 1

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

Outputs
(+.f64 (cos.f64 im) (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(+.f64 (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)) (.f64 (cos.f64 im) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (*.f64 re re))))
(+.f64 (.f64 (cos.f64 im) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re))) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)))
(+.f64 (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (cos.f64 im)))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (cos.f64 im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im)))
(fma.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (cos.f64 im)))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (cos.f64 im) (.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(fma.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re) (.f64 (cos.f64 im) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re))))
(fma.f64 (cos.f64 im) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))
(fma.f64 (cos.f64 im) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
(fma.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(neg.f64 (/.f64 (cos.f64 im) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 im)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) #s(literal 1 binary64)))
(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 im)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
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(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))))
(.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(*.f64 re #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) re)
(+.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(+.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/6 binary64)))))
(fma.f64 re #s(literal 1/2 binary64) (.f64 re (.f64 re #s(literal 1/6 binary64))))
(fma.f64 re (.f64 re #s(literal 1/6 binary64)) (.f64 re #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) re (.f64 re (.f64 re #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 re re) (.f64 re #s(literal 1/2 binary64)))
(fma.f64 (.f64 re #s(literal 1/6 binary64)) re (.f64 re #s(literal 1/2 binary64)))
(fma.f64 (.f64 re re) #s(literal 1/6 binary64) (.f64 re #s(literal 1/2 binary64)))
(fma.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (.f64 (.f64 re (.f64 re re)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal 1/216 binary64))) (+.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (*.f64 re #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re #s(literal 1/2 binary64))) (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re #s(literal 1/6 binary64))))) (-.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (*.f64 re #s(literal 1/6 binary64)))))
(/.f64 (.f64 re (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 re (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re)))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re)))
(.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) re)
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) re)
(*.f64 im #s(literal -1/720 binary64))
(*.f64 #s(literal -1/720 binary64) im)
(.f64 im (.f64 im #s(literal -1/720 binary64)))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(.f64 #s(literal -1/720 binary64) (.f64 im im))
(.f64 (.f64 im #s(literal -1/720 binary64)) im)
(+.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64)))))
(+.f64 (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64)))) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
(fma.f64 im (.f64 im #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal -1/720 binary64)))))
(fma.f64 im (.f64 im (.f64 im (.f64 im #s(literal -1/720 binary64)))) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(fma.f64 im (.f64 (.f64 im #s(literal -1/720 binary64)) (.f64 im im)) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(fma.f64 (.f64 im im) #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal -1/720 binary64)))))
(fma.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64))) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) (.f64 im im) (.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal -1/720 binary64)))))
(fma.f64 (.f64 im #s(literal -1/720 binary64)) (.f64 im (.f64 im im)) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(fma.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (.f64 im im) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(fma.f64 (.f64 im (.f64 im im)) (.f64 im #s(literal -1/720 binary64)) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/720 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) im) im (.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal -1/720 binary64)))))
(fma.f64 (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) im) im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(fma.f64 (.f64 (.f64 im im) (.f64 im #s(literal -1/720 binary64))) im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im)))) (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/373248000 binary64))) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64))))) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im (*.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64)))) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64)))))) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/720 binary64))))))
(/.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/720 binary64))) #s(literal 1/24 binary64)))))
(/.f64 (.f64 (.f64 im im) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/518400 binary64)))) (-.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/373248000 binary64)))) (.f64 im im)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/720 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/720 binary64))) #s(literal 1/24 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/518400 binary64))) (.f64 im im)) (-.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64)))))
(.f64 im (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64)))) (.f64 im im))
(.f64 (.f64 im (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))) im)

simplify365.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

5152×	`+-lowering-+.f64`
5152×	`+-lowering-+.f32`
4128×	`-lowering-.f32`
4128×	`-lowering-.f64`
1796×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	2901
1	883	2584
2	3808	2431
0	8397	2431

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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 (* (pow re 2) (+ 1/2 (* 1/6 re)))))
(+ 1 (+ re (+ (* -1/2 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* 1/24 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* 1/24 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
1
(+ 1 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 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)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(+ 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 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(* re (+ 1 (* -1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))
(* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))
(* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))
(* re (+ 1 (* -1/2 (pow im 2))))
(* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))
(* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))
(* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))
(+ 1 re)
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(* -1/2 (* (pow im 2) (+ 1 re)))
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(* -1/2 (* (pow im 2) (+ 1 re)))
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
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 (* -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 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (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 (pow im 2))
(* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))
(* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))
(* (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))) (+ 1/720 (/ 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))) (+ 1/720 (/ 1/2 (pow im 4)))))
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
-1/2
(- (* 1/24 (pow im 2)) 1/2)
(- (* (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 (* 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)))))))
(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
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
1
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(/ 6 (pow re 3))
(/ (- 6 (* 18 (/ 1 re))) (pow re 3))
(/ (- (+ 6 (/ 18 (pow re 2))) (* 18 (/ 1 re))) (pow re 3))
(/ (- (+ 6 (+ (* 18 (/ 1 (pow re 3))) (/ 18 (pow re 2)))) (* 18 (/ 1 re))) (pow re 3))
(/ 6 (pow re 3))
(* -1 (/ (- (* 18 (/ 1 re)) 6) (pow re 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 re)) 18) re)) 6) (pow re 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 18 (/ 1 re)) (/ 18 (pow re 2))) 18) re)) 6) (pow re 3)))
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)))
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/2 re)
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 (pow im 2))
(* -1/720 (pow im 2))
(* -1/720 (pow im 2))
(* -1/720 (pow im 2))
(* -1/720 (pow im 2))
(* -1/720 (pow im 2))
(* -1/720 (pow im 2))
(* -1/720 (pow im 2))
(* -1/720 (pow im 2))
(* -1/720 (pow im 2))
(* -1/720 (pow im 2))
(* -1/720 (pow im 2))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))
(* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))
(* (pow im 2) (+ 1/24 (* -1/720 (pow im 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))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* -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))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))

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) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* 1/6 (* (pow re 3) (cos im)))
(.f64 (cos.f64 im) (.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re re))))
(* (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)) (+.f64 (.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))) (/.f64 (/.f64 (cos.f64 im) 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 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))) (+.f64 (/.f64 (/.f64 (cos.f64 im) re) re) (/.f64 (cos.f64 im) (.f64 re (.f64 re re))))))
(* 1/6 (* (pow re 3) (cos im)))
(.f64 (cos.f64 im) (.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re re))))
(* -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) (.f64 (.f64 re (.f64 re re)) (-.f64 (.f64 (cos.f64 im) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.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 (.f64 (cos.f64 im) #s(literal -1/6 binary64)) (/.f64 (-.f64 (.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))) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 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 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 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))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 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))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(* 1/6 (pow re 3))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(+.f64 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re))))) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
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(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 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)))))))))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(* 1/6 (* (pow re 3) (cos im)))
(.f64 (cos.f64 im) (.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re re))))
(* (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)) (+.f64 (.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))) (/.f64 (/.f64 (cos.f64 im) 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 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))) (+.f64 (/.f64 (/.f64 (cos.f64 im) re) re) (/.f64 (cos.f64 im) (.f64 re (.f64 re re))))))
(* 1/6 (* (pow re 3) (cos im)))
(.f64 (cos.f64 im) (.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re re))))
(* -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) (.f64 (.f64 re (.f64 re re)) (-.f64 (.f64 (cos.f64 im) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.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 (.f64 (cos.f64 im) #s(literal -1/6 binary64)) (/.f64 (-.f64 (.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))) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))))))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
1
#s(literal 1 binary64)
(+ 1 (* -1 re))
(-.f64 #s(literal 1 binary64) re)
(+ 1 (* re (- (* 1/2 re) 1)))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))))
(/ 6 (pow re 3))
(/.f64 #s(literal 6 binary64) (.f64 re (.f64 re re)))
(/ (- 6 (* 18 (/ 1 re))) (pow re 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (.f64 re (.f64 re re)))
(/ (- (+ 6 (/ 18 (pow re 2))) (* 18 (/ 1 re))) (pow re 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) re) #s(literal -18 binary64)) re)) (.f64 re (.f64 re re)))
(/ (- (+ 6 (+ (* 18 (/ 1 (pow re 3))) (/ 18 (pow re 2)))) (* 18 (/ 1 re))) (pow re 3))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) re) #s(literal -18 binary64)) re)) (/.f64 #s(literal 18 binary64) (.f64 re (.f64 re re)))) (.f64 re (.f64 re re)))
(/ 6 (pow re 3))
(/.f64 #s(literal 6 binary64) (.f64 re (.f64 re re)))
(* -1 (/ (- (* 18 (/ 1 re)) 6) (pow re 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (.f64 re (.f64 re re)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 re)) 18) re)) 6) (pow re 3)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -18 binary64) re)) re) #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(* -1 (/ (- (* -1 (/ (- (+ (* 18 (/ 1 re)) (/ 18 (pow re 2))) 18) re)) 6) (pow re 3)))
(/.f64 (-.f64 #s(literal -6 binary64) (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 18 binary64) re))) #s(literal -18 binary64)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(* 1/6 (pow re 3))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(+.f64 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 #s(literal 1 binary64) (.f64 re re))))) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (*.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* 1/6 re)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(* re (+ 1/2 (* 1/6 re)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(* re (+ 1/2 (* 1/6 re)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 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 (.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* 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 (.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))
(* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))
(* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64))))
(* -1/720 (pow im 4))
(.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im)))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im)))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im)))
(* -1/720 (pow im 4))
(.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im)))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im)))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im)))

eval362.0ms (1.6%)

Compiler: Compiled 48794 to 3459 computations (92.9% saved)

prune223.0ms (1%)

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	1469	18	1487
Fresh	6	7	13
Picked	3	2	5
Done	1	5	6
Total	1479	32	1511

Accuracy

100.0%

Counts

1511 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.4%	(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
▶	35.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
	24.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	53.8%	(/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) re))
	68.9%	(/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))))
	64.3%	(/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re #s(literal 1/2 binary64))))))
	36.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
▶	26.9%	(+.f64 re #s(literal 1 binary64))
	23.2%	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
✓	29.4%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
	26.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
	29.3%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
	29.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
	26.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
▶	36.7%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
	34.4%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	61.1%	(.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re))) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re)))) (cos.f64 im))
▶	69.1%	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im))))
▶	64.6%	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (*.f64 re #s(literal 1/2 binary64)))) (cos.f64 im))
	25.7%	(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
	11.6%	(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
✓	53.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	36.0%	(.f64 (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re)))) (cos.f64 im))
	26.8%	(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
	48.2%	(.f64 (exp.f64 re) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 im im) (.f64 im im)))) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
✓	59.7%	(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	7.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
	9.0%	(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
✓	64.6%	(exp.f64 re)
✓	52.3%	(cos.f64 im)
✓	26.4%	#s(literal 1 binary64)

Compiler

Compiled 1115 to 645 computations (42.2% saved)

simplify336.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 re (.f64 re #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) re)
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (*.f64 re #s(literal 1/2 binary64)))) (cos.f64 im))
✓	cost-diff	0	(*.f64 re re)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 re re))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
✓	cost-diff	0	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
✓	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) re)
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
✓	cost-diff	256	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im))))

Rules

2372×	`sum4-define`
1918×	`sum3-define`
1802×	`fma-lowering-fma.f32`
1802×	`fma-lowering-fma.f64`
1680×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	218
1	92	200
2	251	195
3	947	195
4	2776	195
5	5391	195
0	8090	195

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize214.0ms (1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re #s(literal 1/2 binary64))))
✓	accuracy	99.3%	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (*.f64 re #s(literal 1/2 binary64)))) (cos.f64 im))
✓	accuracy	100.0%	(*.f64 im #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
✓	accuracy	85.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	accuracy	99.8%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (cos.f64 im))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))

Results

165.0ms

256×

valid

Compiler

Compiled 235 to 33 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 92.0ms (75.9% of total)

ival-add: 10.0ms (8.3% of total)

ival-cos: 6.0ms (5% of total)

ival-div: 5.0ms (4.1% of total)

...c/correct-round.rkt:119:19: 4.0ms (3.3% of total)

ival-sub: 3.0ms (2.5% of total)

const: 1.0ms (0.8% of total)

backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts

23 → 324

Calls

Call 1

Inputs
#<alt (* (+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6))))) (/ 1 (/ 1 (cos im))))>
#<alt (/ 1 (/ 1 (cos im)))>
#<alt (+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6)))))>
#<alt (+ 1 re)>
#<alt (+ re 1)>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6))))))>
#<alt (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))>
#<alt (+ 1 (* re (+ 1/2 (* re 1/6))))>
#<alt (* re (+ 1/2 (* re 1/6)))>
#<alt (/ (* (- 1 (* re re)) (+ 1 (* im (* im -1/2)))) (- 1 re))>
#<alt (* (- 1 (* re re)) (+ 1 (* im (* im -1/2))))>
#<alt (- 1 (* re re))>
#<alt (* re re)>
#<alt (* (+ (+ 1 re) (* re (* re 1/2))) (cos im))>
#<alt (+ (+ 1 re) (* re (* re 1/2)))>
#<alt (* re (* re 1/2))>
#<alt (* re 1/6)>
#<alt (/ 1 (cos im))>
#<alt (+ 1/2 (* re 1/6))>
#<alt (+ 1 (* im (* im -1/2)))>
#<alt (* im -1/2)>
#<alt (cos im)>
#<alt (* re 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 (* (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>
#<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 (* 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 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>
#<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>
#<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 re>
#<alt (* re (+ 1 (* 1/2 re)))>
#<alt (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))>
#<alt (* 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)))))>
#<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)) 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 re)>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* 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))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 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))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 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))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))>
#<alt (* re (+ 1 (* -1/2 (pow im 2))))>
#<alt (* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))>
#<alt (* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))>
#<alt (* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))>
#<alt (* re (+ 1 (* -1/2 (pow im 2))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))>
#<alt (/ (- 1 (pow re 2)) (- 1 re))>
#<alt (- (+ (* -1/2 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re)))>
#<alt (- (+ (* -1/2 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re)))>
#<alt (- (+ (* -1/2 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re)))>
#<alt (* -1/2 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re)))>
#<alt (* (pow im 2) (- (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (/ 1 (* (pow im 2) (- 1 re)))) (/ (pow re 2) (* (pow im 2) (- 1 re)))))>
#<alt (* (pow im 2) (- (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (/ 1 (* (pow im 2) (- 1 re)))) (/ (pow re 2) (* (pow im 2) (- 1 re)))))>
#<alt (* (pow im 2) (- (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (/ 1 (* (pow im 2) (- 1 re)))) (/ (pow re 2) (* (pow im 2) (- 1 re)))))>
#<alt (* -1/2 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re)))>
#<alt (* (pow im 2) (- (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (/ 1 (* (pow im 2) (- 1 re)))) (/ (pow re 2) (* (pow im 2) (- 1 re)))))>
#<alt (* (pow im 2) (- (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (/ 1 (* (pow im 2) (- 1 re)))) (/ (pow re 2) (* (pow im 2) (- 1 re)))))>
#<alt (* (pow im 2) (- (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (/ 1 (* (pow im 2) (- 1 re)))) (/ (pow re 2) (* (pow im 2) (- 1 re)))))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (+ (* -1 (* (pow re 2) (+ 1 (* -1/2 (pow im 2))))) (* -1/2 (pow im 2))))>
#<alt (+ 1 (+ (* -1 (* (pow re 2) (+ 1 (* -1/2 (pow im 2))))) (* -1/2 (pow im 2))))>
#<alt (+ 1 (+ (* -1 (* (pow re 2) (+ 1 (* -1/2 (pow im 2))))) (* -1/2 (pow im 2))))>
#<alt (* -1 (* (pow re 2) (+ 1 (* -1/2 (pow im 2)))))>
#<alt (* (pow re 2) (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))>
#<alt (* -1 (* (pow re 2) (+ 1 (* -1/2 (pow im 2)))))>
#<alt (* (pow re 2) (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))>
#<alt (- 1 (pow re 2))>
#<alt (- (+ 1 (* -1/2 (* (pow im 2) (- 1 (pow re 2))))) (pow re 2))>
#<alt (- (+ 1 (* -1/2 (* (pow im 2) (- 1 (pow re 2))))) (pow re 2))>
#<alt (- (+ 1 (* -1/2 (* (pow im 2) (- 1 (pow re 2))))) (pow re 2))>
#<alt (* -1/2 (* (pow im 2) (- 1 (pow re 2))))>
#<alt (* (pow im 2) (- (+ (* -1/2 (- 1 (pow re 2))) (/ 1 (pow im 2))) (/ (pow re 2) (pow im 2))))>
#<alt (* (pow im 2) (- (+ (* -1/2 (- 1 (pow re 2))) (/ 1 (pow im 2))) (/ (pow re 2) (pow im 2))))>
#<alt (* (pow im 2) (- (+ (* -1/2 (- 1 (pow re 2))) (/ 1 (pow im 2))) (/ (pow re 2) (pow im 2))))>
#<alt (* -1/2 (* (pow im 2) (- 1 (pow re 2))))>
#<alt (* (pow im 2) (- (+ (* -1/2 (- 1 (pow re 2))) (/ 1 (pow im 2))) (/ (pow re 2) (pow im 2))))>
#<alt (* (pow im 2) (- (+ (* -1/2 (- 1 (pow re 2))) (/ 1 (pow im 2))) (/ (pow re 2) (pow im 2))))>
#<alt (* (pow im 2) (- (+ (* -1/2 (- 1 (pow re 2))) (/ 1 (pow im 2))) (/ (pow re 2) (pow im 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow re 2)))>
#<alt (+ 1 (* -1 (pow re 2)))>
#<alt (+ 1 (* -1 (pow re 2)))>
#<alt (* -1 (pow re 2))>
#<alt (* (pow re 2) (- (/ 1 (pow re 2)) 1))>
#<alt (* (pow re 2) (- (/ 1 (pow re 2)) 1))>
#<alt (* (pow re 2) (- (/ 1 (pow re 2)) 1))>
#<alt (* -1 (pow re 2))>
#<alt (* (pow re 2) (- (/ 1 (pow re 2)) 1))>
#<alt (* (pow re 2) (- (/ 1 (pow re 2)) 1))>
#<alt (* (pow re 2) (- (/ 1 (pow re 2)) 1))>
#<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 (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) (* 1/2 (* re (cos im))))))>
#<alt (* 1/2 (* (pow re 2) (cos im)))>
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))>
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))>
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))>
#<alt (* 1/2 (* (pow re 2) (cos im)))>
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))>
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))>
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))>
#<alt (+ 1 (+ re (* 1/2 (pow re 2))))>
#<alt (+ 1 (+ re (+ (* -1/2 (* (pow im 2) (+ 1 (+ re (* 1/2 (pow re 2)))))) (* 1/2 (pow re 2)))))>
#<alt (+ 1 (+ re (+ (* 1/2 (pow re 2)) (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* 1/2 (pow re 2))))) (* 1/24 (* (pow im 2) (+ 1 (+ re (* 1/2 (pow re 2)))))))))))>
#<alt (+ 1 (+ re (+ (* 1/2 (pow re 2)) (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* 1/2 (pow re 2))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ re (* 1/2 (pow re 2)))))) (* 1/24 (+ 1 (+ re (* 1/2 (pow re 2))))))))))))>
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))>
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))>
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))>
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))>
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))>
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))>
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))>
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (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 (* 1/2 (pow re 2))>
#<alt (* 1/2 (pow re 2))>
#<alt (* 1/2 (pow re 2))>
#<alt (* 1/2 (pow re 2))>
#<alt (* 1/2 (pow re 2))>
#<alt (* 1/2 (pow re 2))>
#<alt (* 1/2 (pow re 2))>
#<alt (* 1/2 (pow re 2))>
#<alt (* 1/2 (pow re 2))>
#<alt (* 1/2 (pow re 2))>
#<alt (* 1/2 (pow re 2))>
#<alt (* 1/2 (pow re 2))>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* 5/24 (pow im 2)))))>
#<alt (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 5/24 (* 61/720 (pow im 2)))))))>
#<alt (/ 1 (cos im))>
#<alt (/ 1 (cos im))>
#<alt (/ 1 (cos im))>
#<alt (/ 1 (cos im))>
#<alt (/ 1 (cos im))>
#<alt (/ 1 (cos im))>
#<alt (/ 1 (cos im))>
#<alt (/ 1 (cos im))>
#<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 (* -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)>
#<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 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>

Calls

81 calls:

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

rewrite384.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3654×	`-lowering-.f32`
3654×	`-lowering-.f64`
2530×	`fma-lowering-fma.f32`
2530×	`fma-lowering-fma.f64`
2140×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	162
1	213	141
2	2121	137
0	8536	137

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 765

Calls

Call 1

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

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

simplify302.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

4444×	`-lowering-.f32`
4444×	`-lowering-.f64`
4232×	`+-lowering-+.f64`
4232×	`+-lowering-+.f32`
1704×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	3089
1	888	2701
2	3735	2489
0	8083	2489

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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 (* (pow re 2) (+ 1/2 (* 1/6 re)))))
(+ 1 (+ re (+ (* -1/2 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* 1/24 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* 1/24 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))
1
(+ 1 (* -1/2 (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))))))
(* 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 re)
(+ 1 re)
(+ 1 re)
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
1
(+ 1 re)
(+ 1 re)
(+ 1 re)
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 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)))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* 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)))))
(* 1/6 (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)) 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 re)
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(+ 1 (* -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 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(* re (+ 1 (* -1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))
(* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))
(* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))
(* re (+ 1 (* -1/2 (pow im 2))))
(* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))
(* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))
(* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))
(/ (- 1 (pow re 2)) (- 1 re))
(- (+ (* -1/2 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re)))
(- (+ (* -1/2 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re)))
(- (+ (* -1/2 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re)))
(* -1/2 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re)))
(* (pow im 2) (- (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (/ 1 (* (pow im 2) (- 1 re)))) (/ (pow re 2) (* (pow im 2) (- 1 re)))))
(* (pow im 2) (- (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (/ 1 (* (pow im 2) (- 1 re)))) (/ (pow re 2) (* (pow im 2) (- 1 re)))))
(* (pow im 2) (- (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (/ 1 (* (pow im 2) (- 1 re)))) (/ (pow re 2) (* (pow im 2) (- 1 re)))))
(* -1/2 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re)))
(* (pow im 2) (- (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (/ 1 (* (pow im 2) (- 1 re)))) (/ (pow re 2) (* (pow im 2) (- 1 re)))))
(* (pow im 2) (- (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (/ 1 (* (pow im 2) (- 1 re)))) (/ (pow re 2) (* (pow im 2) (- 1 re)))))
(* (pow im 2) (- (+ (* -1/2 (/ (- 1 (pow re 2)) (- 1 re))) (/ 1 (* (pow im 2) (- 1 re)))) (/ (pow re 2) (* (pow im 2) (- 1 re)))))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (+ (* -1 (* (pow re 2) (+ 1 (* -1/2 (pow im 2))))) (* -1/2 (pow im 2))))
(+ 1 (+ (* -1 (* (pow re 2) (+ 1 (* -1/2 (pow im 2))))) (* -1/2 (pow im 2))))
(+ 1 (+ (* -1 (* (pow re 2) (+ 1 (* -1/2 (pow im 2))))) (* -1/2 (pow im 2))))
(* -1 (* (pow re 2) (+ 1 (* -1/2 (pow im 2)))))
(* (pow re 2) (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(* (pow re 2) (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(* (pow re 2) (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(* -1 (* (pow re 2) (+ 1 (* -1/2 (pow im 2)))))
(* (pow re 2) (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(* (pow re 2) (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(* (pow re 2) (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(- 1 (pow re 2))
(- (+ 1 (* -1/2 (* (pow im 2) (- 1 (pow re 2))))) (pow re 2))
(- (+ 1 (* -1/2 (* (pow im 2) (- 1 (pow re 2))))) (pow re 2))
(- (+ 1 (* -1/2 (* (pow im 2) (- 1 (pow re 2))))) (pow re 2))
(* -1/2 (* (pow im 2) (- 1 (pow re 2))))
(* (pow im 2) (- (+ (* -1/2 (- 1 (pow re 2))) (/ 1 (pow im 2))) (/ (pow re 2) (pow im 2))))
(* (pow im 2) (- (+ (* -1/2 (- 1 (pow re 2))) (/ 1 (pow im 2))) (/ (pow re 2) (pow im 2))))
(* (pow im 2) (- (+ (* -1/2 (- 1 (pow re 2))) (/ 1 (pow im 2))) (/ (pow re 2) (pow im 2))))
(* -1/2 (* (pow im 2) (- 1 (pow re 2))))
(* (pow im 2) (- (+ (* -1/2 (- 1 (pow re 2))) (/ 1 (pow im 2))) (/ (pow re 2) (pow im 2))))
(* (pow im 2) (- (+ (* -1/2 (- 1 (pow re 2))) (/ 1 (pow im 2))) (/ (pow re 2) (pow im 2))))
(* (pow im 2) (- (+ (* -1/2 (- 1 (pow re 2))) (/ 1 (pow im 2))) (/ (pow re 2) (pow im 2))))
1
(+ 1 (* -1 (pow re 2)))
(+ 1 (* -1 (pow re 2)))
(+ 1 (* -1 (pow re 2)))
(* -1 (pow re 2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1))
(* (pow re 2) (- (/ 1 (pow re 2)) 1))
(* (pow re 2) (- (/ 1 (pow re 2)) 1))
(* -1 (pow re 2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1))
(* (pow re 2) (- (/ 1 (pow re 2)) 1))
(* (pow re 2) (- (/ 1 (pow re 2)) 1))
(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)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(* 1/2 (* (pow re 2) (cos im)))
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))
(* 1/2 (* (pow re 2) (cos im)))
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))
(+ 1 (+ re (* 1/2 (pow re 2))))
(+ 1 (+ re (+ (* -1/2 (* (pow im 2) (+ 1 (+ re (* 1/2 (pow re 2)))))) (* 1/2 (pow re 2)))))
(+ 1 (+ re (+ (* 1/2 (pow re 2)) (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* 1/2 (pow re 2))))) (* 1/24 (* (pow im 2) (+ 1 (+ re (* 1/2 (pow re 2)))))))))))
(+ 1 (+ re (+ (* 1/2 (pow re 2)) (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* 1/2 (pow re 2))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ re (* 1/2 (pow re 2)))))) (* 1/24 (+ 1 (+ re (* 1/2 (pow re 2))))))))))))
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))
(* (cos im) (+ 1 (+ re (* 1/2 (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)))))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 5/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 5/24 (* 61/720 (pow im 2)))))))
(/ 1 (cos im))
(/ 1 (cos im))
(/ 1 (cos im))
(/ 1 (cos im))
(/ 1 (cos im))
(/ 1 (cos im))
(/ 1 (cos im))
(/ 1 (cos im))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* -1/2 (pow im 2)))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
1
(+ 1 (* -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 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)

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

eval163.0ms (0.7%)

Compiler: Compiled 37272 to 2648 computations (92.9% saved)

prune193.0ms (0.9%)

Pruning

52 alts after pruning (43 fresh and 9 done)

	Pruned	Kept	Total
New	1214	29	1243
Fresh	6	14	20
Picked	2	3	5
Done	1	6	7
Total	1223	52	1275

Accuracy

100.0%

Counts

1275 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.7%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
	26.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
	26.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
	34.2%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
	28.0%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
	28.0%	(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
	64.4%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
	27.5%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
	22.2%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
	69.1%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
	25.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
	10.5%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
	24.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	53.8%	(/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) re))
	68.9%	(/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))))
	64.3%	(/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re #s(literal 1/2 binary64))))))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
	36.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
	28.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
✓	26.9%	(+.f64 re #s(literal 1 binary64))
	30.5%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
	28.0%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
	23.2%	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
✓	29.4%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
	26.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
	29.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
	26.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
	29.8%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
	36.7%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
✓	36.7%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
	36.4%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
	34.4%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	30.8%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
	19.4%	(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
	12.1%	(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
	35.1%	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
	36.3%	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
	35.1%	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
✓	64.6%	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (*.f64 re #s(literal 1/2 binary64)))) (cos.f64 im))
	27.5%	(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
	11.6%	(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
✓	53.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	36.0%	(.f64 (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re)))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	7.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
	13.1%	(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
	9.0%	(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
	12.7%	(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
✓	64.6%	(exp.f64 re)
✓	52.3%	(cos.f64 im)
	3.4%	re
✓	26.4%	#s(literal 1 binary64)

Compiler

Compiled 2649 to 958 computations (63.8% saved)

regimes121.0ms (0.5%)

Counts

71 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) re))
(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))
(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (*.f64 re #s(literal 1/2 binary64)))) (cos.f64 im))
(/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
(/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))))
(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im))))
(.f64 (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re)))) (cos.f64 im))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re))) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re)))) (cos.f64 im))
(.f64 (/.f64 (-.f64 (.f64 re re) (.f64 (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (-.f64 re (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (cos.f64 im))
(.f64 (exp.f64 re) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 im im) (.f64 im im)))) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 (.f64 re (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))

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

Calls

5 calls:

26.0ms	(cos.f64 im)
25.0ms	im
23.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
21.0ms	re
16.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes128.0ms (0.6%)

Counts

70 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) re))
(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))
(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (*.f64 re #s(literal 1/2 binary64)))) (cos.f64 im))
(/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))
(/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))))
(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im))))
(.f64 (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re)))) (cos.f64 im))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re))) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re)))) (cos.f64 im))
(.f64 (/.f64 (-.f64 (.f64 re re) (.f64 (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (-.f64 re (+.f64 (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (cos.f64 im))
(.f64 (exp.f64 re) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 im im) (.f64 im im)))) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (.f64 re re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 (.f64 re (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))) (cos.f64 im))

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

Calls

4 calls:

50.0ms	re
31.0ms	(cos.f64 im)
20.0ms	im
17.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
98.3%	4	`re`
85.2%	2	`im`
95.6%	3	`(exp.f64 re)`
85.0%	2	`(cos.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes29.0ms (0.1%)

Counts

61 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) re))
(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))
(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (*.f64 re #s(literal 1/2 binary64)))) (cos.f64 im))
(/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (cos.f64 im))

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

Calls

1 calls:

20.0ms

re

Results

Accuracy	Segments	Branch
98.3%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.1%)

Counts

59 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) re))
(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))
(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (*.f64 re #s(literal 1/2 binary64)))) (cos.f64 im))
(/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (/.f64 #s(literal 1 binary64) (cos.f64 im)))

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

Calls

1 calls:

18.0ms

re

Results

Accuracy	Segments	Branch
97.6%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.1%)

Counts

56 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) re))
(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))
(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))

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

Calls

1 calls:

16.0ms

re

Results

Accuracy	Segments	Branch
97.6%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes39.0ms (0.2%)

Counts

55 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) re))
(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))
(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))

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

Calls

2 calls:

18.0ms	re
12.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
94.7%	3	`(exp.f64 re)`
94.7%	3	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes44.0ms (0.2%)

Counts

54 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) re))
(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)))

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

Calls

2 calls:

24.0ms	re
12.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
91.2%	3	`re`
91.2%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes36.0ms (0.2%)

Counts

51 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))

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

Calls

2 calls:

14.0ms	re
13.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
91.2%	3	`re`
91.2%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes34.0ms (0.1%)

Counts

50 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
(cos.f64 im)
(exp.f64 re)

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

Calls

2 calls:

15.0ms	re
11.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
89.9%	3	`re`
89.9%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes83.0ms (0.4%)

Counts

49 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
(cos.f64 im)

Outputs
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(cos.f64 im)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))

Calls

3 calls:

46.0ms	(cos.f64 im)
15.0ms	im
14.0ms	re

Results

Accuracy	Segments	Branch
60.1%	2	`(cos.f64 im)`
60.1%	2	`im`
75.5%	5	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes38.0ms (0.2%)

Counts

48 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))

Outputs
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))

Calls

2 calls:

15.0ms	im
14.0ms	re

Results

Accuracy	Segments	Branch
38.9%	2	`im`
51.0%	5	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.1%)

Counts

47 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))

Outputs
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))

Calls

1 calls:

13.0ms

re

Results

Accuracy	Segments	Branch
51.0%	5	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes23.0ms (0.1%)

Counts

46 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (.f64 (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 re re) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re re))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (.f64 (.f64 re re) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))

Outputs
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))

Calls

1 calls:

18.0ms

re

Results

Accuracy	Segments	Branch
50.7%	5	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.1%)

Counts

42 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (-.f64 (.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) re))

Outputs
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))

Calls

1 calls:

15.0ms

re

Results

Accuracy	Segments	Branch
50.5%	5	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0s (22%)

Counts

39 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))

Outputs
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))

Calls

1 calls:

11.0ms

re

Results

Accuracy	Segments	Branch
49.3%	5	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

38 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))))
(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 re (.f64 im im)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (/.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(.f64 (-.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)) (-.f64 #s(literal 0 binary64) (.f64 re (.f64 re re))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))))))) (-.f64 #s(literal 1 binary64) re))
(.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))))) (.f64 (-.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (*.f64 re re))))))

Outputs

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

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

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

Calls

1 calls:

11.0ms

re

Results

Accuracy	Segments	Branch
46.1%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.5s (28.7%)

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.5s

re

Results

Accuracy	Segments	Branch
43.4%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0%)

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

re

Results

Accuracy	Segments	Branch
41.4%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

24.0ms

re

Results

Accuracy	Segments	Branch
41.2%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts

13 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

re

Results

Accuracy	Segments	Branch
43.3%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

re

Results

Accuracy	Segments	Branch
43.1%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
29.2%	2	`im`
40.6%	4	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

re

Results

Accuracy	Segments	Branch
40.5%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

re

Results

Accuracy	Segments	Branch
38.5%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

re

Results

Accuracy	Segments	Branch
36.6%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes37.0ms (0.2%)

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

2 calls:

34.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
26.9%	1	`im`
26.9%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -15.1b remaining (-32%)

Threshold costs -15.1b (-32%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
26.4%	1	`re`
26.4%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch58.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	3.0602765063934337e+97	3.631379879566803e+103
10.0ms	0.0008285510728685032	0.005620605067929463
28.0ms	-6.30712161134041e+19	-52.237363890406534

Results

38.0ms

400×

valid

Compiler

Compiled 732 to 565 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-cos: 20.0ms (73.3% of total)

ival-exp: 4.0ms (14.7% of total)

ival-mult: 3.0ms (11% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	3.0602765063934337e+97	3.631379879566803e+103
11.0ms	0.0008285510728685032	0.005620605067929463
15.0ms	-52.237363890406534	-0.027051790479722178

Results

29.0ms

368×

valid

Compiler

Compiled 684 to 513 computations (25% saved)

Precisions

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

ival-cos: 11.0ms (56% of total)

ival-mult: 5.0ms (25.4% of total)

ival-exp: 3.0ms (15.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch54.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	3.8686117716619617e+148	2.5012245441672638e+154
10.0ms	0.0008285510728685032	0.005620605067929463
24.0ms	-6.30712161134041e+19	-52.237363890406534

Results

37.0ms

400×

valid

Compiler

Compiled 632 to 474 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-exp: 11.0ms (45.8% of total)

ival-cos: 10.0ms (41.6% of total)

ival-mult: 3.0ms (12.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch48.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	3.8686117716619617e+148	2.5012245441672638e+154
13.0ms	0.0008285510728685032	0.005620605067929463
17.0ms	-6.30712161134041e+19	-52.237363890406534

Results

28.0ms

400×

valid

Compiler

Compiled 632 to 474 computations (25% saved)

Precisions

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

ival-cos: 9.0ms (56.5% of total)

ival-exp: 4.0ms (25.1% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0008285510728685032	0.005620605067929463
18.0ms	-6.30712161134041e+19	-52.237363890406534

Results

19.0ms

256×

valid

Compiler

Compiled 284 to 221 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 6.0ms (57.6% of total)

ival-exp: 3.0ms (28.8% of total)

ival-mult: 2.0ms (19.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0008288944161279	1.0056364303038356
0.0ms	0.0	2.0587381538770626e-23

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0008288944161279	1.0056364303038356
0.0ms	2.0587381538770626e-23	0.9733108319840736

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000000724308065	1.0000029565611215
0.0ms	0.0	2.0587381538770626e-23

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch55.0ms (0.2%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	7.243078026695887e-7	2.95655675092364e-6
23.0ms	-52.237363890406534	-0.027051790479722178
10.0ms	-2.0246981772894242e+96	-1.302877478309249e+95
8.0ms	-2.0835239060495956e+154	-6.413598195670232e+153

Results

37.0ms

400×

valid

Compiler

Compiled 1058 to 673 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-exp: 13.0ms (50.2% of total)

ival-cos: 9.0ms (34.8% of total)

ival-mult: 3.0ms (11.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch49.0ms (0.2%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	6.599836742607347e+45	3.639310495764768e+47
16.0ms	-52.237363890406534	-0.027051790479722178
10.0ms	-2.0246981772894242e+96	-1.302877478309249e+95
8.0ms	-2.0835239060495956e+154	-6.413598195670232e+153

Results

30.0ms

416×

valid

Compiler

Compiled 2178 to 1006 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-cos: 10.0ms (59.3% of total)

ival-exp: 3.0ms (17.8% of total)

ival-mult: 3.0ms (17.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch71.0ms (0.3%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	1.0423816309419148e+48	1.643220366995761e+57
15.0ms	-52.237363890406534	-0.027051790479722178
10.0ms	-2.0246981772894242e+96	-1.302877478309249e+95
26.0ms	-2.0835239060495956e+154	-6.413598195670232e+153

Results

49.0ms

448×

valid

Compiler

Compiled 2204 to 965 computations (56.2% saved)

Precisions

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

ival-mult: 22.0ms (58.8% of total)

ival-cos: 11.0ms (29.4% of total)

ival-exp: 4.0ms (10.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.2%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	1.643220366995761e+57	1.284830610512688e+68
16.0ms	-52.237363890406534	-0.027051790479722178
10.0ms	-2.0246981772894242e+96	-1.302877478309249e+95
8.0ms	-2.0835239060495956e+154	-6.413598195670232e+153

Results

32.0ms

464×

valid

Compiler

Compiled 2004 to 1015 computations (49.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-cos: 10.0ms (55.9% of total)

ival-exp: 4.0ms (22.4% of total)

ival-mult: 3.0ms (16.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch66.0ms (0.3%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	2.5012245441672638e+154	4.322364938371946e+159
14.0ms	-52.237363890406534	-0.027051790479722178
25.0ms	-2.0246981772894242e+96	-1.302877478309249e+95
8.0ms	-2.0835239060495956e+154	-6.413598195670232e+153

Results

47.0ms

448×

valid

Compiler

Compiled 1626 to 931 computations (42.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-cos: 26.0ms (78.5% of total)

ival-exp: 3.0ms (9.1% of total)

ival-mult: 3.0ms (9.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch61.0ms (0.3%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	2.5012245441672638e+154	4.322364938371946e+159
14.0ms	-52.237363890406534	-0.027051790479722178
14.0ms	-6.1024892995373754e+94	-3.305326181361271e+89
12.0ms	-2.0835239060495956e+154	-6.413598195670232e+153

Results

36.0ms

496×

valid

Compiler

Compiled 1710 to 991 computations (42% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-cos: 15.0ms (64.9% of total)

ival-exp: 4.0ms (17.3% of total)

ival-mult: 4.0ms (17.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.243078026695887e-7	2.95655675092364e-6
8.0ms	-2.0835239060495956e+154	-6.413598195670232e+153

Results

13.0ms

176×

valid

Compiler

Compiled 456 to 281 computations (38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 4.0ms (48.6% of total)

ival-exp: 3.0ms (36.5% of total)

ival-mult: 1.0ms (12.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.005620605067929463	413091867380.1957
12.0ms	-1.428380153493099e+22	-6.417108666709966e+20

Results

22.0ms

272×

valid

Compiler

Compiled 568 to 416 computations (26.8% saved)

Precisions

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

ival-cos: 7.0ms (58.7% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1.428380153493099e+22	-6.417108666709966e+20

Results

7.0ms

112×

valid

Compiler

Compiled 208 to 156 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-cos: 3.0ms (71.5% of total)

ival-exp: 1.0ms (23.8% of total)

ival-mult: 1.0ms (23.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1.428380153493099e+22	-6.417108666709966e+20

Results

7.0ms

112×

valid

Compiler

Compiled 194 to 142 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-cos: 2.0ms (52.5% of total)

ival-exp: 1.0ms (26.3% of total)

ival-mult: 1.0ms (26.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	1.742540802024518e+128	1.4028041205124065e+132
19.0ms	0.005620605067929463	413091867380.1957
13.0ms	-1.428380153493099e+22	-6.417108666709966e+20

Results

30.0ms

400×

valid

Compiler

Compiled 596 to 443 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-cos: 9.0ms (50.5% of total)

ival-exp: 6.0ms (33.7% of total)

ival-mult: 3.0ms (16.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch48.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	1.742540802024518e+128	1.4028041205124065e+132
20.0ms	0.005620605067929463	413091867380.1957
11.0ms	-1.428380153493099e+22	-6.417108666709966e+20

Results

32.0ms

400×

valid

Compiler

Compiled 494 to 375 computations (24.1% saved)

Precisions

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

ival-cos: 9.0ms (58% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1.742540802024518e+128	1.4028041205124065e+132
21.0ms	0.005620605067929463	413091867380.1957
13.0ms	-1.428380153493099e+22	-6.417108666709966e+20

Results

29.0ms

400×

valid

Compiler

Compiled 494 to 368 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-cos: 9.0ms (53.5% of total)

ival-exp: 4.0ms (23.8% of total)

ival-mult: 3.0ms (17.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch60.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1.742540802024518e+128	1.4028041205124065e+132
33.0ms	0.005620605067929463	413091867380.1957
11.0ms	-1.428380153493099e+22	-6.417108666709966e+20

Results

44.0ms

400×

valid

Compiler

Compiled 458 to 350 computations (23.6% saved)

Precisions

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

ival-cos: 25.0ms (77.7% of total)

ival-exp: 3.0ms (9.3% of total)

ival-mult: 3.0ms (9.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.742540802024518e+128	1.4028041205124065e+132
27.0ms	0.005620605067929463	413091867380.1957

Results

30.0ms

288×

valid

Compiler

Compiled 332 to 259 computations (22% saved)

Precisions

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

ival-cos: 17.0ms (76.6% of total)

ival-exp: 3.0ms (13.5% of total)

ival-mult: 2.0ms (9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	413091867380.1957	461334764941760.9

Results

8.0ms

128×

valid

Compiler

Compiled 140 to 105 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 3.0ms (59.9% of total)

ival-exp: 1.0ms (20% of total)

ival-mult: 1.0ms (20% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

136×	`*-commutative_binary64`
102×	`+-commutative_binary64`
40×	`sub-neg_binary64`
24×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	1460
1	369	1460
2	408	1460
3	444	1460
4	465	1460
5	473	1460
6	477	1460
7	478	1460

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -54 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3170534137668829/576460752303423488 binary64)) (/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))))))) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -3530822107858469/72057594037927936 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3170534137668829/576460752303423488 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -54 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3170534137668829/576460752303423488 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re #s(literal 1/2 binary64)))) (cos.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -54 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3112888062438487/576460752303423488 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -54 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 208967022709991/72057594037927936 binary64)) (/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) re)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1131529406376837/1125899906842624 binary64)) (/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) re)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 6805647338418769/170141183460469231731687303715884105728 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1131529406376837/1125899906842624 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 4503608634569751/4503599627370496 binary64)) (cos.f64 im) (exp.f64 re)))
(if (<=.f64 re #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) re)))) (if (<=.f64 re #s(literal -52 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64)))))))))) (if (<=.f64 re #s(literal 6611313076017503/4722366482869645213696 binary64)) (cos.f64 im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))))))
(if (<=.f64 re #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) re)))) (if (<=.f64 re #s(literal -52 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64)))))))))) (if (<=.f64 re #s(literal 360000000000000007671539654766762878089356640256 binary64)) (.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re re)) (+.f64 #s(literal 1 binary64) re)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))))))
(if (<=.f64 re #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) re)))) (if (<=.f64 re #s(literal -52 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64)))))))))) (if (<=.f64 re #s(literal 4200000000000000237373583589302012081900587512233984 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))))))
(if (<=.f64 re #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) re)))) (if (<=.f64 re #s(literal -52 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64)))))))))) (if (<=.f64 re #s(literal 125000000000000009066429547691154390769796801205815244439776269434880 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) re) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))))))
(if (<=.f64 re #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) re)))) (if (<=.f64 re #s(literal -52 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 im im) #s(literal 61/720 binary64)))))))))) (if (<=.f64 re #s(literal 25999999999999998876644197589149813482482645581104389076238714872913071075214071862033967206499535890505949953083909759198974259222505479814310310801571840 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))))))
(if (<=.f64 re #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal -60000000000000001213132747629356819314565779392861464468266611372480240299889858561521869651968 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) re)))) (if (<=.f64 re #s(literal -52 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64)))))))) (if (<=.f64 re #s(literal 25999999999999998876644197589149813482482645581104389076238714872913071075214071862033967206499535890505949953083909759198974259222505479814310310801571840 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))))))
(if (<=.f64 re #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 3447327532494841/4722366482869645213696 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) re)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 900 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/6 binary64)))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 400 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (if (<=.f64 re #s(literal 180000000000000013531407644973277552944857231583433478426923638424397866543634736839617398197596446377087871906993454738801950720 binary64)) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 330 binary64)) (+.f64 re #s(literal 1 binary64)) (if (<=.f64 re #s(literal 180000000000000013531407644973277552944857231583433478426923638424397866543634736839617398197596446377087871906993454738801950720 binary64)) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))))) (if (<=.f64 re #s(literal 55 binary64)) (+.f64 re #s(literal 1 binary64)) (if (<=.f64 re #s(literal 180000000000000013531407644973277552944857231583433478426923638424397866543634736839617398197596446377087871906993454738801950720 binary64)) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))))) (if (<=.f64 re #s(literal 900 binary64)) (+.f64 re #s(literal 1 binary64)) (if (<=.f64 re #s(literal 180000000000000013531407644973277552944857231583433478426923638424397866543634736839617398197596446377087871906993454738801950720 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re re))))))
(if (<=.f64 re #s(literal 6600 binary64)) (+.f64 re #s(literal 1 binary64)) (if (<=.f64 re #s(literal 180000000000000013531407644973277552944857231583433478426923638424397866543634736839617398197596446377087871906993454738801950720 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))))
(if (<=.f64 re #s(literal 420000000000 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 re (*.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 -54 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3170534137668829/576460752303423488 binary64)) (/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))))))) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -54 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3170534137668829/576460752303423488 binary64)) (/.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64)))))))) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))))
(if (<=.f64 re #s(literal -3530822107858469/72057594037927936 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3170534137668829/576460752303423488 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -3530822107858469/72057594037927936 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3170534137668829/576460752303423488 binary64)) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))))
(if (<=.f64 re #s(literal -54 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3170534137668829/576460752303423488 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 re (.f64 re #s(literal 1/2 binary64)))) (cos.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -54 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3170534137668829/576460752303423488 binary64)) (.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re #s(literal 1/2 binary64))))) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))))))
(if (<=.f64 re #s(literal -54 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3112888062438487/576460752303423488 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -54 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3112888062438487/576460752303423488 binary64)) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))))))
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(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1131529406376837/1125899906842624 binary64)) (/.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) re)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 6805647338418769/170141183460469231731687303715884105728 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1131529406376837/1125899906842624 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 6805647338418769/170141183460469231731687303715884105728 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1131529406376837/1125899906842624 binary64)) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 4503608634569751/4503599627370496 binary64)) (cos.f64 im) (exp.f64 re)))
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(if (<=.f64 re #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal -60000000000000001213132747629356819314565779392861464468266611372480240299889858561521869651968 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal 1 binary64))))) (if (<=.f64 re #s(literal -52 binary64)) (.f64 (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (+.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im #s(literal 5/24 binary64)))))))) (if (<=.f64 re #s(literal 25999999999999998876644197589149813482482645581104389076238714872913071075214071862033967206499535890505949953083909759198974259222505479814310310801571840 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))))
(if (<=.f64 re #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 3447327532494841/4722366482869645213696 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) re)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))))
(if (<=.f64 re #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 3447327532494841/4722366482869645213696 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 re #s(literal 1 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 900 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 900 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/6 binary64)))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 400 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (if (<=.f64 re #s(literal 180000000000000013531407644973277552944857231583433478426923638424397866543634736839617398197596446377087871906993454738801950720 binary64)) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 330 binary64)) (+.f64 re #s(literal 1 binary64)) (if (<=.f64 re #s(literal 180000000000000013531407644973277552944857231583433478426923638424397866543634736839617398197596446377087871906993454738801950720 binary64)) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))))) (if (<=.f64 re #s(literal 55 binary64)) (+.f64 re #s(literal 1 binary64)) (if (<=.f64 re #s(literal 180000000000000013531407644973277552944857231583433478426923638424397866543634736839617398197596446377087871906993454738801950720 binary64)) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64))))) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re))))))
(if (<=.f64 re #s(literal -650000000000000000000 binary64)) (.f64 im (.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))))) (if (<=.f64 re #s(literal 900 binary64)) (+.f64 re #s(literal 1 binary64)) (if (<=.f64 re #s(literal 180000000000000013531407644973277552944857231583433478426923638424397866543634736839617398197596446377087871906993454738801950720 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (.f64 #s(literal 1/6 binary64) (.f64 re (.f64 re re))))))
(if (<=.f64 re #s(literal 6600 binary64)) (+.f64 re #s(literal 1 binary64)) (if (<=.f64 re #s(literal 180000000000000013531407644973277552944857231583433478426923638424397866543634736839617398197596446377087871906993454738801950720 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re)))))
(if (<=.f64 re #s(literal 420000000000 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 re (*.f64 re re))))
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

soundness3.2s (14.2%)

Rules

5848×	`+-lowering-+.f64`
5848×	`+-lowering-+.f32`
5152×	`+-lowering-+.f64`
5152×	`+-lowering-+.f32`
4444×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	113	81
2	1050	81
0	8312	81
0	33	189
1	230	166
2	2354	166
0	9006	166
0	64	277
1	186	250
2	587	247
3	1523	242
4	2063	242
5	2744	242
6	3594	242
7	4443	242
8	5873	242
0	8029	242
0	194	1732
1	688	1540
2	2918	1466
0	9042	1466
0	255	2901
1	883	2584
2	3808	2431
0	8397	2431
0	32	162
1	213	141
2	2121	137
0	8536	137
0	254	3089
1	888	2701
2	3735	2489
0	8083	2489

Stop Event

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

Compiler

Compiled 4026 to 2019 computations (49.9% saved)

preprocess193.0ms (0.9%)

Remove: (abs im)
Compiler: Compiled 3024 to 506 computations (83.3% saved)

Iter	Nodes	Cost
0	16	34
1	39	34
2	73	32
3	110	32
4	198	32
5	308	32
6	373	32
7	458	32
8	662	32
9	662	32
0	5	5
1	6	5
0	6	5

Iter	Nodes	Cost
0	16	34
1	39	34
2	73	32
3	110	32
4	198	32
5	308	32
6	373	32
7	458	32
8	662	32
9	662	32
0	5	5
1	6	5
0	6	5

Iter	Nodes	Cost
0	16	34
1	39	34
2	73	32
3	110	32
4	198	32
5	308	32
6	373	32
7	458	32
8	662	32
9	662	32
0	5	5
1	6	5
0	6	5