Metrics for math.cos 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 14 to 11 computations (21.4% saved)

Precisions

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

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

ival-add: 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)

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

sample1.6s (16.6%)

Results

1.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 339.0ms (32.6% of total)

ival-exp: 308.0ms (29.6% of total)

ival-cos: 287.0ms (27.6% of total)

ival-neg: 49.0ms (4.7% of total)

ival-add: 44.0ms (4.2% of total)

const: 11.0ms (1.1% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess142.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-define`
412×	`fma-neg`
102×	`times-frac`
96×	`associate-r`
87×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	316
1	100	308
2	280	308
3	673	298
4	1117	294
5	1661	294
6	2231	294
7	2749	294
8	2903	294
9	2917	294
10	2917	294
11	2917	294

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs re)

(abs im)

explain137.0ms (1.4%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1/2 binary64)`
-	-	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
-	-	`re`
-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
-	-	`im`
-	-	`(cos.f64 re)`
-	-	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
-	-	`(neg.f64 im)`
-	-	`(exp.f64 (neg.f64 im))`
-	-	`(exp.f64 im)`

Results

66.0ms

512×

valid

Compiler

Compiled 85 to 32 computations (62.4% saved)

Precisions

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

ival-exp: 14.0ms (33.9% of total)

ival-cos: 13.0ms (31.5% of total)

ival-mult: 8.0ms (19.4% of total)

ival-add: 3.0ms (7.3% of total)

ival-neg: 2.0ms (4.8% of total)

const: 1.0ms (2.4% of total)

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

eval1.0ms (0%)

Compiler: Compiled 35 to 15 computations (57.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	100.0%	(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))

Status

Accuracy

Program

▶

100.0%

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

▶

100.0%

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

61×	`fma-define`
27×	`associate-r`
21×	`associate-l`
13×	`*-commutative`
11×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	236
1	40	236
2	94	236
3	159	236
4	187	236
5	222	236
6	254	236
7	265	236
8	267	236
9	272	236
10	272	236

Stop Event

1×

saturated

Calls

Call 1

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

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

localize205.0ms (2.1%)

Localize:

Found 8 expressions of interest:

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

Results

187.0ms

256×

valid

Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions

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

ival-cos: 6.0ms (24.9% of total)

ival-exp: 5.0ms (20.8% of total)

ival-mult: 5.0ms (20.8% of total)

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

ival-div: 2.0ms (8.3% of total)

ival-add: 1.0ms (4.2% of total)

ival-neg: 1.0ms (4.2% of total)

const: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Counts

9 → 96

Calls

Call 1

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

Outputs
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) im)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) im))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/4 binary64) im) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) im))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	im	@	0	(+ (* 1/2 (exp im)) (/ 1/2 (exp im)))
2.0ms	im	@	inf	(* (cos re) (+ (* 1/2 (exp im)) (/ 1/2 (exp im))))
1.0ms	im	@	0	(+ (exp (neg im)) (exp im))
1.0ms	im	@	-inf	(* (cos re) (+ (* 1/2 (exp im)) (/ 1/2 (exp im))))
1.0ms	re	@	inf	(* (cos re) (+ (* 1/2 (exp im)) (/ 1/2 (exp im))))

rewrite208.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

134×	`associate-r`
120×	`add-exp-log`
120×	`add-log-exp`
120×	`log1p-expm1-u`
120×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	237
1	270	237
2	4359	237

Stop Event

1×

unsound

Counts

9 → 112

Calls

Call 1

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

Outputs
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(log.f64 (pow.f64 #s(literal -1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal -1 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 re) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 re) #s(literal -1 binary64))
(pow.f64 (cos.f64 re) #s(literal 3 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -1 binary64)))
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(log.f64 (pow.f64 #s(literal -1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(log.f64 (pow.f64 #s(literal -1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

405×	`associate-+l+`
392×	`distribute-rgt-in`
392×	`distribute-lft-in`
368×	`associate-+r+`
338×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	245	5589
1	700	4772
2	2253	4616
3	5458	4538

Stop Event

1×	node limit

Counts

208 → 185

Calls

Call 1

Inputs
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) im))
(+.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/4 binary64) im) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) im))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(log.f64 (pow.f64 #s(literal -1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal -1 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 re) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 re) #s(literal -1 binary64))
(pow.f64 (cos.f64 re) #s(literal 3 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -1 binary64)))
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(log.f64 (pow.f64 #s(literal -1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(log.f64 (pow.f64 #s(literal -1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))

Outputs
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 re #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 1/24 binary64)))))))
(+.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (pow.f64 re #s(literal 4 binary64))) (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (cos.f64 re))
(+.f64 (.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (pow.f64 im #s(literal 4 binary64))) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1/2 binary64)
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#s(literal 2 binary64)
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
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(-.f64 #s(literal 1 binary64) im)
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#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) im))
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(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(/.f64 #s(literal -2 binary64) (cos.f64 re))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -1/8 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (cos.f64 re)))
(log.f64 (pow.f64 #s(literal -1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(log.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (cos.f64 re)) #s(literal -2 binary64)))
(log1p.f64 (+.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal -1/2 binary64)) #s(literal -3 binary64)))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 re))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 re))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 re))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(/.f64 #s(literal -2 binary64) (cos.f64 re))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 re) (exp.f64 #s(literal -1/2 binary64))))
(fma.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal 0 binary64)

eval28.0ms (0.3%)

Compiler: Compiled 3652 to 703 computations (80.8% saved)

prune51.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	230	9	239
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	231	10	241

Accuracy

100.0%

Counts

241 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.8%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
▶	8.8%	(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
▶	75.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
▶	99.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
	65.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	10.8%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	66.9%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	50.4%	(cos.f64 re)
▶	2.3%	#s(literal 0 binary64)

Compiler

Compiled 189 to 146 computations (22.8% saved)

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 im im #s(literal 2 binary64))
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
✓	cost-diff	-6144	(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (cos.f64 re))
	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (cos.f64 re))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) im)
✓	cost-diff	0	(+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Rules

939×	`fma-define`
783×	`unsub-neg`
659×	`fma-neg`
356×	`distribute-lft-in`
346×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	292
1	56	288
2	128	284
3	318	284
4	754	280
5	1815	280
6	4879	280
7	7724	280

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
(-.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(exp.f64 im)
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
#s(literal 2 binary64)
(cos.f64 re)
re
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 re))
#s(literal -1/2 binary64)
(cos.f64 re)
re
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)

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

localize84.0ms (0.9%)

Localize:

Found 14 expressions of interest:

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

Results

53.0ms

256×

valid

Compiler

Compiled 90 to 20 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 9.0ms (35.4% of total)

ival-cos: 6.0ms (23.6% of total)

ival-add: 4.0ms (15.7% of total)

ival-fma: 3.0ms (11.8% of total)

ival-sub: 2.0ms (7.9% of total)

ival-exp: 2.0ms (7.9% of total)

const: 1.0ms (3.9% of total)

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

series71.0ms (0.7%)

Counts

9 → 108

Calls

Call 1

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

Outputs
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))>
#<alt (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))>
#<alt (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))>
#<alt #s(literal 3/2 binary64)>
#<alt (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/12 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>

Calls

33 calls:

Time	Variable		Point	Expression
51.0ms	re	@	inf	(+ 1 (+ 1 (* -1/2 (cos re))))
3.0ms	re	@	-inf	(* (* 1/2 (cos re)) (+ (* im im) 2))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ (- 1 im) (exp im)))
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (* im im) 2))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ (* im im) 2))

rewrite181.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1081×	`log1p-expm1-u`
759×	`expm1-log1p-u`
155×	`associate-r`
154×	`add-exp-log`
153×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	192
1	345	188
2	5065	188

Stop Event

1×	node limit

Counts

9 → 239

Calls

Call 1

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

Outputs
(-.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(-.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) im)
(*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(*.f64 (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (exp.f64 im) (-.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (-.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))) (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (-.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(/.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (-.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 im (exp.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 im (exp.f64 im)) (-.f64 im (exp.f64 im))) (-.f64 im (exp.f64 im)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))) (-.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 im (exp.f64 im)) (-.f64 im (exp.f64 im)))) (+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im))))
(pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(exp.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (-.f64 #s(literal 1 binary64) im))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 im)) (-.f64 #s(literal 1 binary64) im))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
(fma.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)) (-.f64 #s(literal 1 binary64) im))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) im)) (sqrt.f64 (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
(+.f64 #s(literal 1 binary64) (neg.f64 im))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) #s(literal 1 binary64)))
(+.f64 (neg.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im))
(*.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) im)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) im)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) im)) (sqrt.f64 (-.f64 #s(literal 1 binary64) im)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im im im)) (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) im) (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) im))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) im)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 im) (neg.f64 im)) (neg.f64 im))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) (neg.f64 im))) (-.f64 #s(literal 1 binary64) (neg.f64 im)))
(pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) im)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 im im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 im im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 im im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 im im #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 im im #s(literal 2 binary64))) (sqrt.f64 (fma.f64 im im #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 im im #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 im im #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 im im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 im im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 im im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 im im #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 im im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 im im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(+.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))))
(+.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) #s(literal 1 binary64)) (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im)))) (-.f64 (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))) (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im)))) (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))) (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (-.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64))) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (-.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(pow.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal -1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) im) (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) im) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))

simplify336.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

564×	`associate-r`
551×	`fma-neg`
492×	`associate-l`
340×	`fma-define`
232×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	658	12365
1	1648	11373
2	6713	11347

Stop Event

1×	node limit

Counts

347 → 463

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))
#s(literal 3/2 binary64)
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
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(/.f64 (-.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im)))) (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))) (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (-.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64))) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (-.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(pow.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal -1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) im) (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) im) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))

Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 im #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 #s(literal 1 binary64) im) (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64))))
(*.f64 im (+.f64 (/.f64 (exp.f64 im) im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 #s(literal 1 binary64) im) (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64))))
(*.f64 im (+.f64 (/.f64 (exp.f64 im) im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 #s(literal 1 binary64) im) (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64))))
(*.f64 im (+.f64 (/.f64 (exp.f64 im) im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (neg.f64 im))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(-.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(-.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(-.f64 #s(literal 1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -1 binary64)))
(*.f64 im (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) im)))
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -1 binary64)))
(*.f64 im (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) im)))
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -1 binary64)))
(*.f64 im (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (neg.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) im)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (neg.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) im)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (neg.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) im)) (neg.f64 im))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 re #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/360 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/360 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/2 binary64))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/48 binary64))) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/1440 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/1440 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
#s(literal 3/2 binary64)
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/48 binary64)))) #s(literal 3/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/1440 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/48 binary64))))) #s(literal 3/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/1440 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 re) #s(literal 2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/48 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/1440 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/48 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/1440 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im im #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im)))) (-.f64 (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))) (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 im) (.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im)))) (.f64 (.f64 (exp.f64 im) (.f64 #s(literal -1/2 binary64) (cos.f64 re))) (-.f64 (.f64 (exp.f64 im) (.f64 #s(literal -1/2 binary64) (cos.f64 re))) (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) im))) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 im) (.f64 #s(literal -1/2 binary64) (cos.f64 re))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re))))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))) (.f64 (.f64 (exp.f64 im) (.f64 #s(literal -1/2 binary64) (cos.f64 re))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im)))) (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))) (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im)))) (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal -1/2 binary64) (cos.f64 re))))) (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) im))) (.f64 (exp.f64 im) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))) (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (-.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (exp.f64 im) (+.f64 (-.f64 (exp.f64 im) #s(literal 1 binary64)) im)))))
(.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) im) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (fma.f64 (exp.f64 im) (+.f64 im (expm1.f64 im)) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64))) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (.f64 (exp.f64 im) (-.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (exp.f64 im) (+.f64 (-.f64 (exp.f64 im) #s(literal 1 binary64)) im)))))
(.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) im) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (fma.f64 (exp.f64 im) (+.f64 im (expm1.f64 im)) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))
(pow.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(pow.f64 (pow.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(sqrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal -1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))))))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 3 binary64))))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(exp.f64 (log.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal -1/2 binary64)))))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 (-.f64 #s(literal 1 binary64) im) (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) im) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal -1/2 binary64))))
(.f64 (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re)))

eval82.0ms (0.8%)

Compiler: Compiled 9727 to 1833 computations (81.2% saved)

prune127.0ms (1.3%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	627	9	636
Fresh	2	2	4
Picked	2	3	5
Done	0	1	1
Total	631	15	646

Accuracy

100.0%

Counts

646 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.3%	(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
	12.8%	(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
▶	66.8%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im)))
✓	75.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
	83.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
	75.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
	65.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	99.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
✓	10.8%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	8.3%	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
▶	48.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
▶	50.4%	(cos.f64 re)
▶	8.8%	#s(literal 3/2 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 281 to 208 computations (26% saved)

simplify166.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im)))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(-.f64 (exp.f64 im) im)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im))
	cost-diff	0	(fma.f64 im im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 im))
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Rules

871×	`fma-define`
506×	`fma-neg`
150×	`distribute-lft-in`
120×	`unsub-neg`
119×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	224
1	46	220
2	97	220
3	193	216
4	291	216
5	409	216
6	654	216
7	929	216
8	1413	216
9	2158	216
10	2577	216
11	2853	216
12	3069	216
13	3151	216
14	3200	216
15	3229	216
16	3236	216
17	3237	216

Stop Event

1×

saturated

Calls

Call 1

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

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

localize151.0ms (1.6%)

Localize:

Found 11 expressions of interest:

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

Results

126.0ms

256×

valid

Compiler

Compiled 67 to 17 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-add: 85.0ms (81.2% of total)

ival-mult: 7.0ms (6.7% of total)

ival-cos: 6.0ms (5.7% of total)

ival-fma: 3.0ms (2.9% of total)

ival-exp: 2.0ms (1.9% of total)

ival-sub: 1.0ms (1% of total)

const: 1.0ms (1% of total)

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

series11.0ms (0.1%)

Counts

6 → 76

Calls

Call 1

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

Outputs
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) im)>
#<alt (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) im))))))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) #s(literal 1/2 binary64)))>
#<alt (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) #s(literal 1/2 binary64)))>
#<alt (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 im (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 im) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 im) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 im) im)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) im))))))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (.f64 im (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) #s(literal 1/2 binary64)))>
#<alt (.f64 im (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) #s(literal 1/2 binary64)))>
#<alt (.f64 im (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>

Calls

21 calls:

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

rewrite154.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`log1p-expm1-u`
830×	`prod-diff`
531×	`expm1-log1p-u`
130×	`add-exp-log`
130×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	137
1	291	133
2	3938	133

Stop Event

1×	node limit

Counts

6 → 180

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 im) (expm1.f64 im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (expm1.f64 im))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (expm1.f64 im))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 im)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (expm1.f64 im)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)) (expm1.f64 im))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(exp.f64 (log1p.f64 (exp.f64 im)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 im)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (neg.f64 im)))
(+.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (neg.f64 im) #s(literal 1/2 binary64)))
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(log.f64 (exp.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(exp.f64 (+.f64 (log1p.f64 (exp.f64 im)) (log.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(exp.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 im)) (log.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))
(fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))

simplify131.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

529×	`times-frac`
358×	`fma-neg`
294×	`associate-r`
264×	`fma-define`
263×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	499	8516
1	1233	7902
2	4214	7817

Stop Event

1×	node limit

Counts

256 → 300

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) im)
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) im))))))
(*.f64 #s(literal -1/2 binary64) im)
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) #s(literal 1/2 binary64)))
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) #s(literal 1/2 binary64)))
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64)))
(*.f64 im (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64)))
(*.f64 im (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 im) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 im) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 im) im)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) im))))))
(*.f64 #s(literal -1/2 binary64) im)
(.f64 im (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) #s(literal 1/2 binary64)))
(.f64 im (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) #s(literal 1/2 binary64)))
(.f64 im (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) im)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 im) (expm1.f64 im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (expm1.f64 im))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (expm1.f64 im))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 im)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (expm1.f64 im)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)) (expm1.f64 im))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(exp.f64 (log1p.f64 (exp.f64 im)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 im)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (neg.f64 im)))
(+.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (neg.f64 im) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im)))) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 im (+.f64 im (exp.f64 im)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (+.f64 im (exp.f64 im)))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 im (+.f64 im (exp.f64 im)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 im (exp.f64 im)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 im) im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im))) #s(literal 2 binary64))
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(log.f64 (pow.f64 (exp.f64 (-.f64 (exp.f64 im) im)) #s(literal 1/2 binary64)))
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(fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))

Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) im)
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) im))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im (+.f64 #s(literal 1/12 binary64) (*.f64 im #s(literal 1/48 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im) #s(literal -1/2 binary64)))
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im) #s(literal -1/2 binary64)))
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im)))))
(.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im))))
(*.f64 im (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im) #s(literal 1/2 binary64)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im)))))
(.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im))))
(*.f64 im (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im) #s(literal 1/2 binary64)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im)))))
(.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im))))
(*.f64 im (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 im) im) #s(literal 1/2 binary64)) (neg.f64 im))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 im #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 im (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 (exp.f64 im) im) #s(literal -1 binary64)))
(*.f64 im (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 (exp.f64 im) im) #s(literal -1 binary64)))
(*.f64 im (-.f64 (/.f64 (exp.f64 im) im) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 (exp.f64 im) im) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 im) im)))))
(*.f64 im (+.f64 (/.f64 (exp.f64 im) im) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 im) im)))))
(*.f64 im (+.f64 (/.f64 (exp.f64 im) im) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 im) im)))))
(*.f64 im (+.f64 (/.f64 (exp.f64 im) im) #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) im))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im (+.f64 #s(literal 1/12 binary64) (*.f64 im #s(literal 1/48 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im (fma.f64 im #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(.f64 im (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) #s(literal 1/2 binary64)))
(*.f64 im (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im) (/.f64 #s(literal 1/2 binary64) im)) #s(literal -1/2 binary64)))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im) (+.f64 (/.f64 #s(literal 1/2 binary64) im) #s(literal -1/2 binary64))))
(*.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) im) (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im) #s(literal -1/2 binary64))))
(.f64 im (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) #s(literal 1/2 binary64)))
(*.f64 im (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im) (/.f64 #s(literal 1/2 binary64) im)) #s(literal -1/2 binary64)))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im) (+.f64 (/.f64 #s(literal 1/2 binary64) im) #s(literal -1/2 binary64))))
(*.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) im) (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im) #s(literal -1/2 binary64))))
(.f64 im (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) #s(literal 1/2 binary64)))
(*.f64 im (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im) (/.f64 #s(literal 1/2 binary64) im)) #s(literal -1/2 binary64)))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im) (+.f64 (/.f64 #s(literal 1/2 binary64) im) #s(literal -1/2 binary64))))
(*.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) im) (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 im) im) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) im)))))
(.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) im))))
(*.f64 im (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) im))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) im)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) im)))))
(.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) im))))
(*.f64 im (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) im))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) im)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) im)))))
(.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) im))))
(*.f64 im (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) im))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) im)) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 im))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1/48 binary64) (.f64 #s(literal 1/48 binary64) (exp.f64 im))))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))) (pow.f64 re #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
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(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (fma.f64 (exp.f64 im) (expm1.f64 im) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (expm1.f64 (+.f64 im im)) (+.f64 #s(literal -1 binary64) (exp.f64 im))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (expm1.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 im) (expm1.f64 im)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (expm1.f64 im) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (fma.f64 (exp.f64 im) (expm1.f64 im) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (expm1.f64 (+.f64 im im)) (+.f64 #s(literal -1 binary64) (exp.f64 im))))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(pow.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(pow.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(sqrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(log.f64 (exp.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(cbrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(expm1.f64 (log1p.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(exp.f64 (+.f64 (log1p.f64 (exp.f64 im)) (log.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(exp.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 im)) (log.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))

eval206.0ms (2.1%)

Compiler: Compiled 5940 to 1262 computations (78.8% saved)

prune97.0ms (1%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	425	8	433
Fresh	1	5	6
Picked	1	4	5
Done	1	3	4
Total	428	20	448

Accuracy

100.0%

Counts

448 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	12.3%	(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
	7.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/2 binary64)))
	53.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))) im)))
	47.9%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
▶	2.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)))
	66.4%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
✓	75.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
▶	83.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
	75.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
	65.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	83.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
	75.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
✓	99.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
	8.3%	(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓	48.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
✓	50.4%	(cos.f64 re)
✓	8.8%	#s(literal 3/2 binary64)
▶	28.7%	#s(literal 1 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 413 to 300 computations (27.4% saved)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))
✓	cost-diff	0	(*.f64 im #s(literal 1/6 binary64))
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓	cost-diff	0	(pow.f64 re #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
✓	cost-diff	-6272	(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) im)
✓	cost-diff	256	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)))
✓	cost-diff	0	(*.f64 im #s(literal 1/6 binary64))
	cost-diff	0	(-.f64 #s(literal 1 binary64) im)
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Rules

791×	`sub-neg`
737×	`fma-define`
396×	`distribute-lft-in`
359×	`associate-r`
348×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	705
1	87	593
2	313	579
3	1093	547
4	4389	547
5	6948	547

Stop Event

1×	node limit

Calls

Call 1

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

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

localize217.0ms (2.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
✓	accuracy	99.8%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 im #s(literal 1/6 binary64))
✓	accuracy	100.0%	(pow.f64 re #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) im)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im))
✓	accuracy	54.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
✓	accuracy	99.8%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 im #s(literal 1/6 binary64))

Results

123.0ms	123×	1	valid
38.0ms	133×	0	valid

Compiler

Compiled 211 to 26 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-pow: 43.0ms (39.9% of total)

ival-mult: 22.0ms (20.4% of total)

ival-add: 12.0ms (11.1% of total)

ival-cos: 9.0ms (8.3% of total)

backward-pass: 9.0ms (8.3% of total)

ival-sub: 6.0ms (5.6% of total)

...c/correct-round.rkt:119:19: 6.0ms (5.6% of total)

const: 1.0ms (0.9% of total)

series71.0ms (0.7%)

Counts

10 → 132

Calls

Call 1

Inputs
#<alt (*.f64 im #s(literal 1/6 binary64))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)))>
#<alt (-.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im))>
#<alt (-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))>

Outputs
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))) (.f64 #s(literal 1/48 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))) (.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))) im)) (.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re))) im)) (.f64 #s(literal 1/4 binary64) (cos.f64 re))) im)) (.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ 2 (* im (+ 1 (* im (+ 1/2 (* im 1/6)))))))
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ (- 1 im) (+ 1 (* im (+ 1 (* im (+ 1/2 (* im 1/6))))))))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ (- 1 im) (+ 1 (* im (+ 1 (* im (+ 1/2 (* im 1/6))))))))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ 2 (* im (+ 1 (* im (+ 1/2 (* im 1/6)))))))
1.0ms	re	@	-inf	(* (* 1/2 (cos re)) (+ (- 1 im) (+ 1 (* im (+ 1 (* im (+ 1/2 (* im 1/6))))))))

rewrite104.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

259×	`log1p-expm1-u`
259×	`expm1-log1p-u`
254×	`associate-r`
254×	`add-cube-cbrt`
252×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	294
1	540	254

Stop Event

1×	node limit

Counts

10 → 239

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)))) (/.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1 binary64) im))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)))))
(*.f64 (+.f64 (-.f64 #s(literal -1 binary64) im) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1 binary64) im)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1 binary64) im)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1 binary64) im))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1 binary64) im)))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64))
(fma.f64 (-.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)) #s(literal 1/2 binary64))
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(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))

simplify211.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

521×	`fma-define`
494×	`fma-neg`
432×	`cancel-sign-sub-inv`
328×	`*-commutative`
267×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	735	13962
1	2096	13103
2	5941	13059

Stop Event

1×	node limit

Counts

371 → 411

Calls

Call 1

Inputs
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 #s(literal -1/2 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) im)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))) (.f64 #s(literal 1/48 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (.f64 #s(literal 1/4 binary64) (cos.f64 re)))))
(.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal -1/12 binary64) (cos.f64 re)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re)))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))) (.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
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(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) (.f64 (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (cos.f64 re) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (cos.f64 re))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (.f64 (cos.f64 re) (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) (-.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (-.f64 (cos.f64 re) (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))

Outputs
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) im)
(-.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) im)
(-.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(-.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(-.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(-.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(-.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(-.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(-.f64 #s(literal -1 binary64) im)
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) im #s(literal -1/2 binary64))
(fma.f64 im #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) im #s(literal -1/2 binary64))
(fma.f64 im #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) im #s(literal -1/2 binary64))
(fma.f64 im #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 im (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 im (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 im (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 im))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 im (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 im (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) im))))
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(/.f64 (-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) (-.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (cos.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (-.f64 (cos.f64 re) (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (cos.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/2 binary64)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 re)))

eval125.0ms (1.3%)

Compiler: Compiled 14510 to 2235 computations (84.6% saved)

prune312.0ms (3.2%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	636	12	648
Fresh	2	6	8
Picked	2	3	5
Done	1	6	7
Total	641	27	668

Accuracy

100.0%

Counts

668 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.3%	(-.f64 #s(literal 2 binary64) (*.f64 re re))
	7.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/2 binary64)))
	7.7%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 im) (neg.f64 im))) (-.f64 #s(literal -1 binary64) (neg.f64 im)))))
	4.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 im #s(literal -1 binary64)))))))
	53.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))) im)))
	47.9%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
✓	2.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)))
	66.4%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
	52.8%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
	63.9%	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
✓	75.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
	75.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))))
	83.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 (-.f64 #s(literal 2 binary64) im) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
	65.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	83.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
	75.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
✓	99.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
	2.2%	(*.f64 im #s(literal -1/2 binary64))
✓	48.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	53.6%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
	53.2%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
	83.8%	(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) im)))
✓	50.4%	(cos.f64 re)
	8.3%	#s(literal 2 binary64)
✓	28.7%	#s(literal 1 binary64)
✓	2.3%	#s(literal 0 binary64)

Compiler

Compiled 810 to 403 computations (50.2% saved)

regimes108.0ms (1.1%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

6 calls:

40.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
18.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
12.0ms	im
12.0ms	re
11.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
100.0%	1	`(cos.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes396.0ms (4.1%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

6 calls:

216.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
133.0ms	im
11.0ms	re
11.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
11.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
100.0%	1	`(cos.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes196.0ms (2%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

5 calls:

151.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
11.0ms	re
11.0ms	im
11.0ms	(cos.f64 re)
8.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.7%	1	`re`
99.7%	1	`im`
99.7%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
99.7%	1	`(cos.f64 re)`
99.7%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes251.0ms (2.6%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

5 calls:

150.0ms	re
69.0ms	(cos.f64 re)
10.0ms	im
10.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.2%	1	`re`
99.2%	1	`im`
99.2%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
99.2%	1	`(cos.f64 re)`
99.2%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes122.0ms (1.2%)

Counts

34 → 3

Calls

Call 1

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

Outputs

(cos.f64 re)

(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

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

Calls

5 calls:

78.0ms	(cos.f64 re)
13.0ms	im
10.0ms	re
10.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
92.8%	2	`re`
96.9%	3	`im`
92.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
92.8%	2	`(cos.f64 re)`
88.4%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes14.0ms (0.1%)

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

im

Results

Accuracy	Segments	Branch
96.9%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

im

Results

Accuracy	Segments	Branch
96.9%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

im

Results

Accuracy	Segments	Branch
96.9%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes131.0ms (1.3%)

Counts

26 → 3

Calls

Call 1

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

Outputs

(cos.f64 re)

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

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

Calls

1 calls:

129.0ms

im

Results

Accuracy	Segments	Branch
96.9%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes52.0ms (0.5%)

Counts

25 → 3

Calls

Call 1

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

Outputs

(cos.f64 re)

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

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

Calls

4 calls:

27.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	re
8.0ms	im
7.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
87.7%	2	`re`
87.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
87.7%	2	`(cos.f64 re)`
94.2%	3	`im`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes28.0ms (0.3%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

im

Results

Accuracy	Segments	Branch
88.3%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	im
6.0ms	re
6.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
66.9%	2	`re`
67.3%	2	`(cos.f64 re)`
75.1%	2	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/2 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 im) (neg.f64 im))) (-.f64 #s(literal -1 binary64) (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))) im)))

Outputs

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

(-.f64 #s(literal 2 binary64) (*.f64 re re))

Calls

2 calls:

5.0ms	im
5.0ms	re

Results

Accuracy	Segments	Branch
55.2%	2	`re`
53.6%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/2 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 im) (neg.f64 im))) (-.f64 #s(literal -1 binary64) (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im))

Outputs

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

(-.f64 #s(literal 2 binary64) (*.f64 re re))

Calls

1 calls:

5.0ms

re

Results

Accuracy	Segments	Branch
55.2%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes39.0ms (0.4%)

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/2 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 im) (neg.f64 im))) (-.f64 #s(literal -1 binary64) (neg.f64 im)))))

Outputs

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

(-.f64 #s(literal 2 binary64) (*.f64 re re))

Calls

2 calls:

34.0ms	re
4.0ms	im

Results

Accuracy	Segments	Branch
53.2%	1	`im`
54.8%	2	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes438.0ms (4.5%)

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/2 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) im)))

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

Calls

2 calls:

3.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
34.4%	2	`im`
33.3%	2	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/2 binary64)))

Outputs
#s(literal 1 binary64)

Calls

2 calls:

3.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
28.7%	1	`re`
28.7%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
2.3%	1	`re`
2.3%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch21.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.896816911750475e+102	2.9435121696506787e+105
2.0ms	2.6992605951412818e-14	2.8327105625698862e-14

Results

14.0ms

144×

valid

Compiler

Compiled 290 to 227 computations (21.7% saved)

Precisions

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

ival-cos: 4.0ms (39.6% of total)

ival-exp: 2.0ms (19.8% of total)

ival-mult: 2.0ms (19.8% of total)

ival-add: 1.0ms (9.9% of total)

ival-neg: 1.0ms (9.9% of total)

const: 0.0ms (0% of total)

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

bsearch86.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
51.0ms	5.896816911750475e+102	2.9435121696506787e+105
31.0ms	0.0034469599898970665	1115184.8666028373

Results

37.0ms

272×

valid

Compiler

Compiled 582 to 441 computations (24.2% saved)

Precisions

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

ival-cos: 6.0ms (35.4% of total)

ival-exp: 4.0ms (23.6% of total)

ival-mult: 4.0ms (23.6% of total)

ival-add: 1.0ms (5.9% of total)

ival-neg: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

bsearch127.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
103.0ms	5.896816911750475e+102	2.9435121696506787e+105
21.0ms	0.0034469599898970665	1115184.8666028373

Results

114.0ms

272×

valid

Compiler

Compiled 564 to 414 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-exp: 92.0ms (87.1% of total)

ival-cos: 6.0ms (5.7% of total)

ival-mult: 4.0ms (3.8% of total)

ival-add: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

const: 0.0ms (0% of total)

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

bsearch297.0ms (3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
158.0ms	5.896816911750475e+102	2.9435121696506787e+105
136.0ms	0.0034469599898970665	1115184.8666028373

Results

284.0ms

272×

valid

Compiler

Compiled 528 to 387 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-cos: 148.0ms (53.5% of total)

ival-mult: 122.0ms (44.1% of total)

ival-exp: 4.0ms (1.4% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch195.0ms (2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.896816911750475e+102	2.9435121696506787e+105
175.0ms	0.0034469599898970665	1115184.8666028373

Results

182.0ms

272×

valid

Compiler

Compiled 384 to 297 computations (22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-neg: 158.0ms (90.9% of total)

ival-cos: 6.0ms (3.5% of total)

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

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

ival-add: 1.0ms (0.6% of total)

const: 0.0ms (0% of total)

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

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.5263406637621074e+147	9.003471551872466e+154
21.0ms	0.0034469599898970665	1115184.8666028373

Results

28.0ms

288×

valid

Compiler

Compiled 414 to 311 computations (24.9% saved)

Precisions

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

ival-cos: 7.0ms (37.8% of total)

ival-exp: 4.0ms (21.6% of total)

ival-mult: 4.0ms (21.6% of total)

ival-add: 1.0ms (5.4% of total)

ival-neg: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.0034469599898970665	1115184.8666028373

Results

15.0ms

144×

valid

Compiler

Compiled 144 to 113 computations (21.5% saved)

Precisions

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

ival-cos: 3.0ms (27.9% of total)

ival-mult: 3.0ms (27.9% of total)

ival-exp: 2.0ms (18.6% of total)

ival-add: 1.0ms (9.3% of total)

ival-neg: 1.0ms (9.3% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.220649302373281e+42	2.9916547659521563e+43

Results

11.0ms

112×

valid

Compiler

Compiled 179 to 140 computations (21.8% saved)

Precisions

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

ival-mult: 3.0ms (39.5% of total)

ival-cos: 2.0ms (26.4% of total)

ival-exp: 1.0ms (13.2% of total)

ival-add: 1.0ms (13.2% of total)

ival-neg: 1.0ms (13.2% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3.3196884078376944e+190	9.273870560882125e+194

Results

15.0ms

128×

valid

Compiler

Compiled 258 to 182 computations (29.5% saved)

Precisions

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

ival-cos: 7.0ms (60.7% of total)

ival-mult: 2.0ms (17.3% of total)

ival-exp: 1.0ms (8.7% of total)

ival-add: 1.0ms (8.7% of total)

ival-neg: 1.0ms (8.7% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.3196884078376944e+190	9.273870560882125e+194

Results

14.0ms

128×

valid

Compiler

Compiled 242 to 182 computations (24.8% saved)

Precisions

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

ival-cos: 4.0ms (43.6% of total)

ival-mult: 2.0ms (21.8% of total)

ival-exp: 1.0ms (10.9% of total)

ival-add: 1.0ms (10.9% of total)

ival-neg: 1.0ms (10.9% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.3196884078376944e+190	9.273870560882125e+194

Results

13.0ms

128×

valid

Compiler

Compiled 226 to 174 computations (23% saved)

Precisions

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

ival-cos: 5.0ms (53.4% of total)

ival-mult: 2.0ms (21.4% of total)

ival-exp: 1.0ms (10.7% of total)

ival-add: 1.0ms (10.7% of total)

ival-neg: 1.0ms (10.7% of total)

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.2703615716010444e+23	2.3043872257547427e+23

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative`
27×	`*-commutative`
9×	`sub-neg`
3×	`1-exp`
3×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1494
1	180	1494
2	193	1494
3	198	1494
4	200	1494

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(if (<=.f64 im #s(literal 4436777100798803/158456325028528675187087900672 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 3039929748475085/1125899906842624 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 (-.f64 #s(literal 2 binary64) im) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 6530219459687219/2251799813685248 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 5/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 3 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 2476979795053773/1125899906842624 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))))))
(if (<=.f64 im #s(literal 4278419646001971/2251799813685248 binary64)) (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 1649999999999999942530296744753608488124416 binary64)) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
(if (<=.f64 re #s(literal 359999999999999994463010386477379850226600583846369097187647698467880153097073626789429640906677712462163199328162567293306108583825111458798928776817260708673746629614771430223248760802115584 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))) im))) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
(if (<=.f64 re #s(literal 359999999999999994463010386477379850226600583846369097187647698467880153097073626789429640906677712462163199328162567293306108583825111458798928776817260708673746629614771430223248760802115584 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
(if (<=.f64 re #s(literal 359999999999999994463010386477379850226600583846369097187647698467880153097073626789429640906677712462163199328162567293306108583825111458798928776817260708673746629614771430223248760802115584 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
(if (<=.f64 im #s(literal 230000000000000004194304 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
#s(literal 1 binary64)
#s(literal 0 binary64)

Outputs
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) #s(literal 1 binary64)))
(if (<=.f64 im #s(literal 4436777100798803/158456325028528675187087900672 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 4436777100798803/158456325028528675187087900672 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 3039929748475085/1125899906842624 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 (-.f64 #s(literal 2 binary64) im) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 3039929748475085/1125899906842624 binary64)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (+.f64 (-.f64 #s(literal 2 binary64) im) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 6530219459687219/2251799813685248 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 6530219459687219/2251799813685248 binary64)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 5/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 5/2 binary64)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 3 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 3 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 2476979795053773/1125899906842624 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))))))
(if (<=.f64 im #s(literal 2476979795053773/1125899906842624 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(if (<=.f64 im #s(literal 4278419646001971/2251799813685248 binary64)) (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 1649999999999999942530296744753608488124416 binary64)) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
(if (<=.f64 re #s(literal 359999999999999994463010386477379850226600583846369097187647698467880153097073626789429640906677712462163199328162567293306108583825111458798928776817260708673746629614771430223248760802115584 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))) im))) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
(if (<=.f64 re #s(literal 359999999999999994463010386477379850226600583846369097187647698467880153097073626789429640906677712462163199328162567293306108583825111458798928776817260708673746629614771430223248760802115584 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))) im)) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
(if (<=.f64 re #s(literal 359999999999999994463010386477379850226600583846369097187647698467880153097073626789429640906677712462163199328162567293306108583825111458798928776817260708673746629614771430223248760802115584 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))) im)) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
(if (<=.f64 re #s(literal 359999999999999994463010386477379850226600583846369097187647698467880153097073626789429640906677712462163199328162567293306108583825111458798928776817260708673746629614771430223248760802115584 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
(if (<=.f64 im #s(literal 230000000000000004194304 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
#s(literal 1 binary64)
#s(literal 0 binary64)

soundness1.3s (13.3%)

Rules

1081×	`log1p-expm1-u`
830×	`fma-define`
759×	`expm1-log1p-u`
564×	`associate-r`
551×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	499	8516
1	1233	7902
2	4214	7817
0	32	316
1	100	308
2	280	308
3	673	298
4	1117	294
5	1661	294
6	2231	294
7	2749	294
8	2903	294
9	2917	294
10	2917	294
11	2917	294
0	20	237
1	270	237
2	4359	237
0	658	12365
1	1648	11373
2	6713	11347
0	25	192
1	345	188
2	5065	188
0	245	5589
1	700	4772
2	2253	4616
3	5458	4538
0	31	294
1	540	254

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	unsound
1×	saturated
1×	node limit

Compiler

Compiled 1308 to 409 computations (68.7% saved)

preprocess148.0ms (1.5%)

Remove

(abs im)

(abs re)

Compiler

Compiled 1196 to 408 computations (65.9% saved)

Iter	Nodes	Cost
0	20	236
1	40	236
2	94	236
3	159	236
4	187	236
5	222	236
6	254	236
7	265	236
8	267	236
9	272	236
10	272	236

Iter	Nodes	Cost
0	20	236
1	40	236
2	94	236
3	159	236
4	187	236
5	222	236
6	254	236
7	265	236
8	267	236
9	272	236
10	272	236

analyze0.0ms (0%)

sample1.6s (16.6%)

preprocess142.0ms (1.5%)

explain137.0ms (1.4%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.2%)

localize205.0ms (2.1%)

series28.0ms (0.3%)

rewrite208.0ms (2.1%)

simplify115.0ms (1.2%)

eval28.0ms (0.3%)

prune51.0ms (0.5%)

simplify86.0ms (0.9%)

localize84.0ms (0.9%)

series71.0ms (0.7%)

rewrite181.0ms (1.9%)

simplify336.0ms (3.4%)

eval82.0ms (0.8%)

prune127.0ms (1.3%)

simplify166.0ms (1.7%)

localize151.0ms (1.6%)

series11.0ms (0.1%)

rewrite154.0ms (1.6%)

simplify131.0ms (1.3%)

eval206.0ms (2.1%)

prune97.0ms (1%)

simplify75.0ms (0.8%)

localize217.0ms (2.2%)

series71.0ms (0.7%)

rewrite104.0ms (1.1%)

simplify211.0ms (2.2%)

eval125.0ms (1.3%)

prune312.0ms (3.2%)

regimes108.0ms (1.1%)

regimes396.0ms (4.1%)

regimes196.0ms (2%)

regimes251.0ms (2.6%)

regimes122.0ms (1.2%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes131.0ms (1.3%)

regimes52.0ms (0.5%)

regimes28.0ms (0.3%)

regimes30.0ms (0.3%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes39.0ms (0.4%)

regimes438.0ms (4.5%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch21.0ms (0.2%)

bsearch86.0ms (0.9%)

bsearch127.0ms (1.3%)

bsearch297.0ms (3%)

bsearch195.0ms (2%)

bsearch45.0ms (0.5%)

bsearch23.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch21.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch0.0ms (0%)

simplify23.0ms (0.2%)

soundness1.3s (13.3%)

preprocess148.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	236
1	40	236
2	94	236
3	159	236
4	187	236
5	222	236
6	254	236
7	265	236
8	267	236
9	272	236
10	272	236