Metrics for math.exp on complex, real part

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation ival-cos, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.6s (36.2%)

Results

1.1s	6238×	256	valid
421.0ms	2017×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 580.0ms

Operation ival-cos, time spent: 327.0ms, 56.0% of total-time

Operation ival-mult, time spent: 153.0ms, 26.0% of total-time

Operation ival-exp, time spent: 87.0ms, 15.0% of total-time

Operation const, time spent: 11.0ms, 2.0% of total-time

Bogosity

preprocess187.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

111×	`fma-define`
30×	`fma-neg`
23×	`sub-neg`
16×	`associate-r`
14×	`+-commutative`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	163
1	45	161
2	81	155
3	117	155
4	193	155
5	270	155
6	323	155
7	363	155
8	446	155
9	446	155

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs im)

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

Operation ival-cos, time spent: 15.0ms, 62.0% of total-time

Operation ival-exp, time spent: 4.0ms, 17.0% of total-time

Operation ival-mult, time spent: 4.0ms, 17.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize36.0ms (0.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

Operation ival-cos, time spent: 7.0ms, 60.0% of total-time

Operation ival-exp, time spent: 2.0ms, 17.0% of total-time

Operation ival-mult, time spent: 2.0ms, 17.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series4.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (*.f64 (exp.f64 re) (cos.f64 im))>

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

Calls

6 calls:

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

rewrite190.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

398×	`log1p-expm1-u`
398×	`expm1-log1p-u`
380×	`add-exp-log`
375×	`unpow-prod-down`
365×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	101	21
2	1105	21

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

809×	`distribute-lft-in`
709×	`distribute-rgt-in`
484×	`distribute-lft-out`
325×	`fma-define`
290×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	101	1328
1	249	1267
2	754	1237
3	2281	1222
4	6377	1219

Stop Event

1×	node limit

Counts

45 → 53

Calls

Call 1

Inputs
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.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)) (exp.f64 re))) (.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (+.f64 re (log.f64 (cos.f64 im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re (log.f64 (cos.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 re (log.f64 (cos.f64 im))))) (sqrt.f64 (+.f64 re (log.f64 (cos.f64 im)))))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64)))

Outputs
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 #s(literal 1/2 binary64) re) (cos.f64 im)))))
(fma.f64 re (.f64 (+.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (cos.f64 im))
(fma.f64 re (*.f64 (cos.f64 im) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 im) re) (.f64 (cos.f64 im) #s(literal 1/2 binary64)))))))
(fma.f64 re (fma.f64 re (.f64 (cos.f64 im) (+.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (cos.f64 im)) (cos.f64 im))
(fma.f64 re (fma.f64 re (*.f64 (cos.f64 im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (cos.f64 im)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))
(+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 re))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (exp.f64 re))
(.f64 (exp.f64 re) (+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))
(.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.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)) (exp.f64 re))) (.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) (.f64 (exp.f64 re) #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (exp.f64 re) #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (exp.f64 re))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (exp.f64 re) (.f64 (.f64 (exp.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 (exp.f64 re) (+.f64 (.f64 (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))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(*.f64 (cos.f64 im) (exp.f64 re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 3 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (E.f64) (+.f64 re (log.f64 (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re (log.f64 (cos.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 re (log.f64 (cos.f64 im))))) (sqrt.f64 (+.f64 re (log.f64 (cos.f64 im)))))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)))
(*.f64 (cos.f64 im) (exp.f64 re))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(*.f64 (cos.f64 im) (exp.f64 re))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)))
(*.f64 (cos.f64 im) (exp.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 3 binary64)))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 1/3 binary64)))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64)))
(*.f64 (cos.f64 im) (exp.f64 re))

eval13.0ms (0.3%)

Compiler: Compiled 655 to 326 computations (50.2% saved)

prune10.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	5	54

Accuracy

100.0%

Counts

54 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
▶	49.6%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	70.1%	(exp.f64 re)
▶	48.6%	(cos.f64 im)

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize66.0ms (1.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
✓	99.8%	(*.f64 re (cos.f64 im))
✓	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

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

Operation ival-cos, time spent: 9.0ms, 45.0% of total-time

Operation ival-add, time spent: 4.0ms, 20.0% of total-time

Operation ival-mult, time spent: 4.0ms, 20.0% of total-time

Operation ival-exp, time spent: 2.0ms, 10.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

series9.0ms (0.2%)

Counts

3 → 41

Calls

Call 1

Inputs
#<alt (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>

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

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	im	@	inf	(* (+ re 1) (cos im))
0.0ms	re	@	0	(* re (cos im))
0.0ms	im	@	0	(* (+ re 1) (cos im))
0.0ms	re	@	inf	(* (+ re 1) (cos im))
0.0ms	re	@	inf	(* re (cos im))

rewrite105.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`prod-diff`
761×	`log1p-expm1-u`
761×	`expm1-log1p-u`
371×	`log-prod`
313×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	173	63
2	2113	63

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

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

simplify417.0ms (9.5%)

Algorithm

1×	egg-herbie

Rules

526×	`times-frac`
459×	`distribute-lft-in`
426×	`div-sub`
413×	`distribute-rgt-in`
271×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	6657
1	718	6369
2	2119	5937
3	6882	5937

Stop Event

1×	node limit

Counts

187 → 137

Calls

Call 1

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

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

eval36.0ms (0.8%)

Compiler: Compiled 1946 to 1018 computations (47.7% saved)

prune20.0ms (0.5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	134	8	142

Accuracy

100.0%

Counts

142 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
▶	25.9%	(+.f64 re #s(literal 1 binary64))
▶	27.8%	(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
✓	49.6%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	4.0%	(*.f64 (cos.f64 im) re)
✓	70.1%	(exp.f64 re)
✓	48.6%	(cos.f64 im)

Compiler

Compiled 56 to 41 computations (26.8% saved)

localize98.0ms (2.2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	100.0%	(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
✓	99.8%	(*.f64 (cos.f64 im) re)

New

Accuracy

Program

✓

100.0%

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

✓

100.0%

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

✓

99.8%

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

Compiler

Compiled 50 to 34 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

Operation ival-mult, time spent: 12.0ms, 27.0% of total-time

Operation ival-pow, time spent: 12.0ms, 27.0% of total-time

Operation ival-add, time spent: 11.0ms, 25.0% of total-time

Operation ival-cos, time spent: 7.0ms, 16.0% of total-time

Operation const, time spent: 2.0ms, 5.0% of total-time

series8.0ms (0.2%)

Counts

3 → 48

Calls

Call 1

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

Inputs

#<alt (*.f64 (cos.f64 im) re)>

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

#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>

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

Calls

15 calls:

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

rewrite122.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1007×	`log1p-expm1-u`
1007×	`expm1-log1p-u`
467×	`prod-diff`
359×	`fma-define`
201×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	221	66
2	2882	66

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs

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

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

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

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

simplify142.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-neg`
368×	`distribute-lft-out`
349×	`*-commutative`
289×	`associate-+r+`
246×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	317	6271
1	790	6169
2	2385	5980
3	4950	5702

Stop Event

1×	node limit

Counts

168 → 181

Calls

Call 1

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

Outputs
re
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re (.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) re)
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/24 binary64) re))))))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64))) (.f64 re #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 re #s(literal -1/2 binary64))) re)
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)))))) re)
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))) re)
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 re #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 re #s(literal -1/2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 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 re (+.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 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 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 re (+.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 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 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 re (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 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 binary64) re)))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 re #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 re #s(literal -1/2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 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 re (+.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 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 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 re (+.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 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 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 re (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 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))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
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(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))))

eval90.0ms (2.1%)

Compiler: Compiled 3342 to 2637 computations (21.1% saved)

prune27.0ms (0.6%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	179	10	189

Accuracy

100.0%

Counts

189 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
✓	25.9%	(+.f64 re #s(literal 1 binary64))
▶	26.2%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
▶	12.1%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))))
✓	49.6%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	4.0%	(*.f64 (cos.f64 im) re)
✓	70.1%	(exp.f64 re)
✓	48.6%	(cos.f64 im)
▶	3.8%	re

Compiler

Compiled 66 to 49 computations (25.8% saved)

localize255.0ms (5.8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	100.0%	(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	91.1%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))))

Compiler

Compiled 47 to 35 computations (25.5% saved)

Precisions

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

Operation ival-pow, time spent: 13.0ms, 42.0% of total-time

Operation ival-mult, time spent: 10.0ms, 32.0% of total-time

Operation ival-add, time spent: 4.0ms, 13.0% of total-time

Operation const, time spent: 3.0ms, 10.0% of total-time

series4.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite85.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log1p-expm1-u`
689×	`expm1-log1p-u`
654×	`unpow-prod-down`
369×	`log-prod`
280×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	151	27
2	1975	27

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(/.f64 (.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (exp.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 im (.f64 im #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 im (.f64 im (.f64 #s(literal -1/2 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.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) re)))
(fma.f64 #s(literal -1/2 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) re) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) re)) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) im) (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) im) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 im (sqrt.f64 (.f64 #s(literal -1/2 binary64) re))) (.f64 im (sqrt.f64 (.f64 #s(literal -1/2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) re) im) im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) re) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) im) im (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) re)) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal -1/2 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal -1/2 binary64) re))) (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))

simplify163.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-neg`
791×	`distribute-lft-neg-in`
772×	`distribute-rgt-neg-in`
766×	`times-frac`
438×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2704
1	425	2666
2	1226	2637
3	4828	2637

Stop Event

1×	node limit

Counts

82 → 78

Calls

Call 1

Inputs
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))
(.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(/.f64 (.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (exp.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 im (.f64 im #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 im (.f64 im (.f64 #s(literal -1/2 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.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) re)))
(fma.f64 #s(literal -1/2 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) re) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) re)) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) im) (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) im) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 im (sqrt.f64 (.f64 #s(literal -1/2 binary64) re))) (.f64 im (sqrt.f64 (.f64 #s(literal -1/2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) re) im) im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) re) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) im) im (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) re)) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal -1/2 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal -1/2 binary64) re))) (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))

Outputs
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))
(.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))))))
(/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64))))) (+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal -1/2 binary64)))))))
(/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) re))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) re) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
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(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (exp.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 im (.f64 im #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 im (.f64 im (.f64 #s(literal -1/2 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.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) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) re) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) re) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) re) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 re (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) re)) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) im) (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) im) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 im (sqrt.f64 (.f64 #s(literal -1/2 binary64) re))) (.f64 im (sqrt.f64 (.f64 #s(literal -1/2 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) re) im) im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) re) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) re) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 re (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) im) im (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) re)))
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) re)) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal -1/2 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal -1/2 binary64) re))) (sqrt.f64 (.f64 #s(literal -1/2 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal -1/2 binary64)))

eval42.0ms (1%)

Compiler: Compiled 1688 to 1349 computations (20.1% saved)

prune26.0ms (0.6%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	0	0
Picked	2	1	3
Done	0	7	7
Total	108	10	118

Accuracy

100.0%

Counts

118 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
✓	25.9%	(+.f64 re #s(literal 1 binary64))
	12.4%	(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) re))
	11.4%	(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	49.6%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	4.0%	(*.f64 (cos.f64 im) re)
✓	70.1%	(exp.f64 re)
✓	48.6%	(cos.f64 im)
✓	3.8%	re

Compiler

Compiled 133 to 89 computations (33.1% saved)

regimes20.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	re
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms	im
4.0ms	(cos.f64 im)
1.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes38.0ms (0.9%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	re
8.0ms	im
7.0ms	(cos.f64 im)
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
93.4%	3	`re`
76.0%	2	`im`
93.4%	3	`(exp.f64 re)`
81.5%	4	`(cos.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes9.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	re
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
93.0%	3	`re`
93.0%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes6.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(cos.f64 im)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.6%	1	`im`
48.6%	1	`(cos.f64 im)`
48.6%	1	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
25.9%	1	`re`
25.9%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
re

Outputs
re

Calls

2 calls:

2.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
3.8%	1	`re`
3.8%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000000002
0.0ms	0.0	0.9999999498803486

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000000002
0.0ms	0.0	0.9999999498803486

Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`if-if-or-not`
3×	`1-exp`
2×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	168
1	37	168

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im) (exp.f64 re)))
(cos.f64 im)
(+.f64 re #s(literal 1 binary64))
re

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 1 binary64)))) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 1 binary64)))) (exp.f64 re) (cos.f64 im))
(cos.f64 im)
(+.f64 re #s(literal 1 binary64))
re

Compiler

Compiled 57 to 39 computations (31.6% saved)

soundness284.0ms (6.5%)

Rules

809×	`distribute-lft-in`
709×	`distribute-rgt-in`
526×	`times-frac`
484×	`distribute-lft-out`
459×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	101	1328
1	249	1267
2	754	1237
3	2281	1222
4	6377	1219
0	288	6657
1	718	6369
2	2119	5937
3	6882	5937

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 33 to 19 computations (42.4% saved)

end0.0ms (0%)

preprocess192.0ms (4.4%)

Remove: (abs im)
Compiler: Compiled 178 to 108 computations (39.3% saved)

Iter	Nodes	Cost
0	22	163
1	45	161
2	81	155
3	117	155
4	193	155
5	270	155
6	323	155
7	363	155
8	446	155
9	446	155

Iter	Nodes	Cost
0	22	163
1	45	161
2	81	155
3	117	155
4	193	155
5	270	155
6	323	155
7	363	155
8	446	155
9	446	155

analyze0.0ms (0%)

sample1.6s (36.2%)

preprocess187.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize36.0ms (0.8%)

series4.0ms (0.1%)

rewrite190.0ms (4.3%)

simplify74.0ms (1.7%)

eval13.0ms (0.3%)

prune10.0ms (0.2%)

localize66.0ms (1.5%)

series9.0ms (0.2%)

rewrite105.0ms (2.4%)

simplify417.0ms (9.5%)

eval36.0ms (0.8%)

prune20.0ms (0.5%)

localize98.0ms (2.2%)

series8.0ms (0.2%)

rewrite122.0ms (2.8%)

simplify142.0ms (3.2%)

eval90.0ms (2.1%)

prune27.0ms (0.6%)

localize255.0ms (5.8%)

series4.0ms (0.1%)

rewrite85.0ms (1.9%)

simplify163.0ms (3.7%)

eval42.0ms (1%)

prune26.0ms (0.6%)

regimes20.0ms (0.5%)

regimes38.0ms (0.9%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

soundness284.0ms (6.5%)

end0.0ms (0%)

preprocess192.0ms (4.4%)

Profiling

Iter	Nodes	Cost
0	22	163
1	45	161
2	81	155
3	117	155
4	193	155
5	270	155
6	323	155
7	363	155
8	446	155
9	446	155