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

sample1.3s (19%)

Results

1.0s	6224×	256	valid
231.0ms	2031×	256	infinite
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 588.0ms

Operation ival-cos, time spent: 304.0ms, 52.0% of total-time

Operation ival-exp, time spent: 149.0ms, 25.0% of total-time

Operation ival-mult, time spent: 127.0ms, 22.0% of total-time

Operation const, time spent: 9.0ms, 2.0% of total-time

Bogosity

preprocess123.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

111×	`fma-define`
30×	`fmm-def`
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, 63.0% 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)

localize139.0ms (2%)

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: 11.0ms

Operation ival-cos, time spent: 7.0ms, 63.0% of total-time

Operation ival-exp, time spent: 2.0ms, 18.0% of total-time

Operation ival-mult, time spent: 2.0ms, 18.0% 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))
1.0ms	re	@	0	(* (exp re) (cos im))
0.0ms	re	@	-inf	(* (exp re) (cos im))
0.0ms	im	@	inf	(* (exp re) (cos im))

rewrite321.0ms (4.7%)

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)))

simplify72.0ms (1.1%)

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))

eval15.0ms (0.2%)

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

prune8.0ms (0.1%)

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
▶	48.4%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	99.9%	(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
▶	72.4%	(exp.f64 re)
▶	47.8%	(cos.f64 im)

Compiler

Compiled 32 to 24 computations (25% saved)

localize379.0ms (5.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	99.8%	(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
✓	99.6%	(expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

Compiler

Compiled 47 to 14 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 361.0ms

Operation ival-cos, time spent: 98.0ms, 27.0% of total-time

Operation composed, time spent: 85.0ms, 24.0% of total-time

Operation ival-add, time spent: 76.0ms, 21.0% of total-time

Operation ival-log, time spent: 63.0ms, 17.0% of total-time

Operation ival-exp, time spent: 16.0ms, 4.0% of total-time

Operation ival-mult, time spent: 14.0ms, 4.0% of total-time

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

Operation const, time spent: 3.0ms, 1.0% of total-time

series10.0ms (0.1%)

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im)))>
#<alt (log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))>
#<alt (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))>

Outputs
#<alt (-.f64 (exp.f64 (cos.f64 im)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 (cos.f64 im)) (.f64 re (.f64 (cos.f64 im) (exp.f64 (cos.f64 im))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 (cos.f64 im)) (.f64 re (+.f64 (.f64 re (.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))) (.f64 (cos.f64 im) (exp.f64 (cos.f64 im)))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 (cos.f64 im)) (.f64 re (+.f64 (.f64 re (+.f64 (.f64 re (.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 im)) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))))) (.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))))) (*.f64 (cos.f64 im) (exp.f64 (cos.f64 im)))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (exp.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 (exp.f64 re)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (exp.f64 (exp.f64 re)))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 re) (exp.f64 (exp.f64 re)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 (exp.f64 re)) (+.f64 (.f64 #s(literal 1/24 binary64) (exp.f64 re)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))))))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 re) (exp.f64 (exp.f64 re)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (exp.f64 (exp.f64 re)) (+.f64 (.f64 #s(literal 1/24 binary64) (exp.f64 re)) (.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 (exp.f64 re)) (+.f64 (.f64 #s(literal -1/48 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal -1/48 binary64) (pow.f64 (exp.f64 re) #s(literal 3 binary64))) (.f64 #s(literal -1/720 binary64) (exp.f64 re))))))))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))>
#<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))>
#<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))>

Calls

18 calls:

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

rewrite106.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`log1p-expm1-u`
747×	`expm1-log1p-u`
683×	`unpow-prod-down`
407×	`log-prod`
152×	`pow-to-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	69
1	179	69
2	2065	69

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

Inputs
(expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))

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

simplify118.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

758×	`distribute-lft-in`
722×	`distribute-rgt-in`
291×	`associate-r`
270×	`associate-l`
235×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	7547
1	1113	7362
2	3505	7243

Stop Event

1×	node limit

Counts

215 → 246

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (cos.f64 im)) #s(literal 1 binary64))
(expm1.f64 (cos.f64 im))
(-.f64 (+.f64 (exp.f64 (cos.f64 im)) (.f64 re (.f64 (cos.f64 im) (exp.f64 (cos.f64 im))))) #s(literal 1 binary64))
(+.f64 (exp.f64 (cos.f64 im)) (-.f64 (.f64 re (.f64 (cos.f64 im) (exp.f64 (cos.f64 im)))) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 (.f64 (cos.f64 im) re) #s(literal 1 binary64)) (exp.f64 (cos.f64 im))) #s(literal -1 binary64))
(fma.f64 (+.f64 (*.f64 (cos.f64 im) re) #s(literal 1 binary64)) (exp.f64 (cos.f64 im)) #s(literal -1 binary64))
(-.f64 (+.f64 (exp.f64 (cos.f64 im)) (.f64 re (+.f64 (.f64 re (.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))) (.f64 (cos.f64 im) (exp.f64 (cos.f64 im)))))) #s(literal 1 binary64))
(+.f64 (exp.f64 (cos.f64 im)) (-.f64 (.f64 re (fma.f64 re (.f64 (exp.f64 (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))) (.f64 (cos.f64 im) (exp.f64 (cos.f64 im))))) #s(literal 1 binary64)))
(+.f64 (.f64 re (fma.f64 (cos.f64 im) (exp.f64 (cos.f64 im)) (.f64 (exp.f64 (cos.f64 im)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) re)))) (expm1.f64 (cos.f64 im)))
(+.f64 (.f64 re (.f64 (exp.f64 (cos.f64 im)) (+.f64 (cos.f64 im) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) re)))) (expm1.f64 (cos.f64 im)))
(-.f64 (+.f64 (exp.f64 (cos.f64 im)) (.f64 re (+.f64 (.f64 re (+.f64 (.f64 re (.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 im)) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))))) (.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))))) (*.f64 (cos.f64 im) (exp.f64 (cos.f64 im)))))) #s(literal 1 binary64))
(+.f64 (exp.f64 (cos.f64 im)) (-.f64 (.f64 re (fma.f64 re (fma.f64 re (.f64 (exp.f64 (cos.f64 im)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))) (.f64 (exp.f64 (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))) (.f64 (cos.f64 im) (exp.f64 (cos.f64 im))))) #s(literal 1 binary64)))
(+.f64 (.f64 re (fma.f64 (cos.f64 im) (exp.f64 (cos.f64 im)) (.f64 re (fma.f64 (exp.f64 (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (.f64 (exp.f64 (cos.f64 im)) (.f64 (fma.f64 (cos.f64 im) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))) re)))))) (expm1.f64 (cos.f64 im)))
(+.f64 (.f64 re (fma.f64 (cos.f64 im) (exp.f64 (cos.f64 im)) (.f64 (.f64 (exp.f64 (cos.f64 im)) re) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (.f64 (fma.f64 (cos.f64 im) #s(literal 1/6 binary64) (.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) #s(literal 1/6 binary64))))) re))))) (expm1.f64 (cos.f64 im)))
(-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))
(expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))
(expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))
(expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))
(expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))
(expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))
(expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))
(expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))
(expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (exp.f64 re)) #s(literal 1 binary64))
(expm1.f64 (exp.f64 re))
(-.f64 (+.f64 (exp.f64 (exp.f64 re)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (exp.f64 (exp.f64 re)))))) #s(literal 1 binary64))
(+.f64 (exp.f64 (exp.f64 re)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (exp.f64 (+.f64 re (exp.f64 re)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (+.f64 re (exp.f64 re))))) (expm1.f64 (exp.f64 re)))
(-.f64 (+.f64 (exp.f64 (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 re) (exp.f64 (exp.f64 re)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 (exp.f64 re)) (+.f64 (.f64 #s(literal 1/24 binary64) (exp.f64 re)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))))))))) #s(literal 1 binary64))
(+.f64 (exp.f64 (exp.f64 re)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (+.f64 re (exp.f64 re))) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (exp.f64 re))) (fma.f64 #s(literal 1/24 binary64) (exp.f64 re) (.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))))))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (+.f64 re (exp.f64 re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 (exp.f64 re)) (fma.f64 (exp.f64 re) #s(literal 1/24 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64)))))))) (expm1.f64 (exp.f64 re)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 (exp.f64 re)) (+.f64 (.f64 (exp.f64 re) #s(literal -1/2 binary64)) (.f64 (.f64 (exp.f64 re) (+.f64 #s(literal 1/24 binary64) (.f64 (exp.f64 re) #s(literal 1/8 binary64)))) (pow.f64 im #s(literal 2 binary64)))))) (expm1.f64 (exp.f64 re)))
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(.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 im) (exp.f64 re)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 im) (exp.f64 re))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 im) (exp.f64 re)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 im) (exp.f64 re))) #s(literal 7 binary64)) (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 im) (exp.f64 re)))) (cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 im) (exp.f64 re)))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 5 binary64))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))) #s(literal 2 binary64)))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))) #s(literal 2 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 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))
(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))))
(expm1.f64 (log1p.f64 (*.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 re (log.f64 (cos.f64 im))) #s(literal 1 binary64)))
(*.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))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (*.f64 re (cos.f64 im)) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 #s(literal 1 binary64) re))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 #s(literal 1 binary64) re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 #s(literal 1 binary64) re)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)))))
(+.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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 #s(literal 1 binary64) re)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))))
(/.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 #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 (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 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(*.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 (+.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 (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 (fma.f64 re re #s(literal -1 binary64)) (cos.f64 im)) (+.f64 re #s(literal -1 binary64)))
(*.f64 (cos.f64 im) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))
(pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(log.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 re #s(literal 1 binary64))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(exp.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(exp.f64 (*.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)) #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re))) #s(literal 3 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re))) #s(literal 1/3 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re))) #s(literal 2 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(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 #s(literal 1 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(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 #s(literal 1 binary64) re))
(fma.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))

eval77.0ms (1.1%)

Compiler: Compiled 4908 to 2141 computations (56.4% saved)

prune42.0ms (0.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	295	4	299
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	296	8	304

Accuracy

100.0%

Counts

304 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.3%	(+.f64 #s(literal 1 binary64) re)
▶	27.3%	(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))
✓	48.4%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	3.9%	(*.f64 (cos.f64 im) re)
▶	48.3%	(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
✓	72.4%	(exp.f64 re)
✓	47.8%	(cos.f64 im)

Compiler

Compiled 58 to 42 computations (27.6% saved)

localize182.0ms (2.7%)

Localize:

Found 7 expressions with local error:

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

Compiler

Compiled 74 to 37 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

Operation ival-pow, time spent: 19.0ms, 39.0% of total-time

Operation ival-mult, time spent: 11.0ms, 22.0% of total-time

Operation ival-add, time spent: 8.0ms, 16.0% of total-time

Operation ival-cos, time spent: 7.0ms, 14.0% of total-time

Operation ival-div, time spent: 2.0ms, 4.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

series19.0ms (0.3%)

Counts

7 → 75

Calls

Call 1

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

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

36 calls:

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

rewrite189.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`log1p-expm1-u`
959×	`expm1-log1p-u`
659×	`fma-define`
308×	`fmm-def`
134×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	162
1	302	162
2	4365	162

Stop Event

1×	node limit

Counts

7 → 320

Calls

Call 1

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

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

simplify225.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

645×	`fmm-def`
451×	`associate-r`
402×	`associate-l`
276×	`fma-define`
235×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	724	14704
1	1767	14003
2	5844	13861

Stop Event

1×	node limit

Counts

395 → 461

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

eval437.0ms (6.4%)

Compiler: Compiled 8160 to 4942 computations (39.4% saved)

prune225.0ms (3.3%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	456	5	461
Fresh	0	0	0
Picked	3	1	4
Done	0	4	4
Total	459	10	469

Accuracy

100.0%

Counts

469 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.3%	(+.f64 #s(literal 1 binary64) re)
▶	11.1%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))))
▶	27.3%	(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))
✓	48.4%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	26.2%	(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
▶	48.3%	(.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 (cos.f64 im) re)))
✓	72.4%	(exp.f64 re)
✓	47.8%	(cos.f64 im)
▶	3.6%	re

Compiler

Compiled 124 to 93 computations (25% saved)

localize554.0ms (8.1%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
	100.0%	(pow.f64 im #s(literal 2 binary64))
✓	93.0%	(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))))
✓	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 im im))
✓	100.0%	(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))
✓	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
✓	99.9%	(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
	99.8%	(/.f64 (cos.f64 im) re)
✓	99.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 (cos.f64 im) re))
✓	99.8%	(.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 (cos.f64 im) re)))

Compiler

Compiled 108 to 62 computations (42.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 278.0ms

Operation ival-mult, time spent: 195.0ms, 70.0% of total-time

Operation ival-add, time spent: 58.0ms, 21.0% of total-time

Operation ival-div, time spent: 8.0ms, 3.0% of total-time

Operation ival-cos, time spent: 7.0ms, 3.0% of total-time

Operation ival-pow, time spent: 6.0ms, 2.0% of total-time

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

series40.0ms (0.6%)

Counts

7 → 120

Calls

Call 1

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

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

33 calls:

Time	Variable		Point	Expression
16.0ms	re	@	0	(* re (* (+ re 1) (/ (cos im) re)))
11.0ms	re	@	-inf	(* (pow im 2) (+ -1/2 (* re -1/2)))
3.0ms	re	@	-inf	(* re (+ 1 (/ 1 re)))
1.0ms	im	@	0	(* (pow im 2) (+ -1/2 (* re -1/2)))
1.0ms	im	@	0	(* (+ re 1) (/ (cos im) re))

rewrite187.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`log1p-expm1-u`
206×	`associate-r`
201×	`expm1-log1p-u`
196×	`add-log-exp`
195×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	194
1	465	175
2	6602	175

Stop Event

1×	node limit

Counts

7 → 253

Calls

Call 1

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

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

simplify199.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

422×	`associate-l`
401×	`associate-r`
369×	`fmm-def`
346×	`distribute-lft-in`
343×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	670	14482
1	1886	13657
2	6867	13638

Stop Event

1×	node limit

Counts

373 → 370

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

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

eval413.0ms (6%)

Compiler: Compiled 6956 to 4898 computations (29.6% saved)

prune73.0ms (1.1%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	434	4	438
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	435	13	448

Accuracy

100.0%

Counts

448 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.6%	(/.f64 (.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) re) re)
✓	26.3%	(+.f64 #s(literal 1 binary64) re)
✓	27.3%	(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))
✓	48.4%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	11.1%	(.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	25.9%	(*.f64 re (/.f64 #s(literal 1 binary64) re))
✓	26.2%	(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
✓	48.3%	(.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 (cos.f64 im) re)))
✓	72.4%	(exp.f64 re)
✓	47.8%	(cos.f64 im)
✓	3.6%	re
	25.9%	#s(literal 1 binary64)

Compiler

Compiled 212 to 135 computations (36.3% saved)

regimes26.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (/.f64 #s(literal 1 binary64) re))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64))))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))))
(.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 (cos.f64 im) re)))
(/.f64 (.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) re) re)
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

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

Calls

5 calls:

8.0ms	(cos.f64 im)
6.0ms	im
5.0ms	re
3.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(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)

regimes51.0ms (0.7%)

Counts

15 → 4

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	im
16.0ms	re
10.0ms	(cos.f64 im)
8.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
97.7%	4	`re`
86.1%	4	`im`
94.1%	3	`(exp.f64 re)`
86.3%	4	`(cos.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes132.0ms (1.9%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

129.0ms	re
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
94.1%	3	`(exp.f64 re)`
94.1%	3	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes65.0ms (0.9%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

62.0ms	re
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
94.1%	3	`re`
94.1%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

Outputs

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

(cos.f64 im)

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

Calls

3 calls:

7.0ms	re
3.0ms	(cos.f64 im)
3.0ms	im

Results

Accuracy	Segments	Branch
47.8%	1	`im`
47.8%	1	`(cos.f64 im)`
56.8%	3	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

9.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
27.3%	1	`im`
35.1%	3	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

re

Results

Accuracy	Segments	Branch
34.5%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
26.3%	1	`im`
26.3%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -14.8b remaining (-31.2%)

Threshold costs -14.8b (-31.2%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	re
1.0ms	im

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch64.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	1.3317345371349687e+151	5.189372441077324e+155
23.0ms	1.1471038706173206e-29	5.724066020537486e-11
24.0ms	-1.7788475409683802	-4.759660089908261e-15

Results

42.0ms	320×	256	valid
15.0ms	127×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 436 to 333 computations (23.6% saved)

Precisions

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

Operation ival-cos, time spent: 13.0ms, 57.0% of total-time

Operation ival-exp, time spent: 6.0ms, 26.0% of total-time

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

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

bsearch49.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.1471038706173206e-29	5.724066020537486e-11
22.0ms	-1.7788475409683802	-4.759660089908261e-15

Results

43.0ms	319×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 292 to 229 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

Operation ival-cos, time spent: 8.0ms, 53.0% of total-time

Operation ival-exp, time spent: 4.0ms, 26.0% of total-time

Operation ival-mult, time spent: 3.0ms, 20.0% of total-time

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

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000572407
0.0ms	0.16883260785689855	0.9999999999999952

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch44.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.1471038706173206e-29	5.724066020537486e-11
21.0ms	-72562522.75893357	-1.7788475409683802

Results

38.0ms	303×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 355 to 276 computations (22.3% saved)

Precisions

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

Operation ival-cos, time spent: 8.0ms, 56.0% of total-time

Operation ival-exp, time spent: 4.0ms, 28.0% of total-time

Operation ival-mult, time spent: 3.0ms, 21.0% of total-time

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

bsearch27.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.768018179030316e+21	3.081718415244427e+22
13.0ms	-4.759660089908261e-15	-4.435023557014061e-16

Results

12.0ms	96×	256	valid
12.0ms	95×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 240 to 189 computations (21.3% saved)

Precisions

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

Operation ival-cos, time spent: 5.0ms, 58.0% of total-time

Operation ival-exp, time spent: 2.0ms, 23.0% of total-time

Operation ival-mult, time spent: 2.0ms, 23.0% of total-time

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

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.1811585582447663e+92	7.262193493495076e+94
15.0ms	-4.759660089908261e-15	-4.435023557014061e-16

Results

13.0ms	111×	256	infinite
13.0ms	96×	256	valid
0.0ms	1×	256	infinite

Compiler

Compiled 246 to 191 computations (22.4% saved)

Precisions

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

Operation ival-cos, time spent: 5.0ms, 54.0% of total-time

Operation ival-exp, time spent: 2.0ms, 22.0% of total-time

Operation ival-mult, time spent: 2.0ms, 22.0% of total-time

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
6×	`if-if-or-not`
3×	`1-exp`
3×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	554
1	88	554

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -7378697629483821/147573952589676412928 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4332790137498831/77371252455336267181195264 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 re #s(literal 15999999999999999995734448065970459917688624305894986980573443008389914872358780186766716153033074535098710061184459360326281505506064483522128253756112896 binary64)) (exp.f64 re) (/.f64 (.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) re) re))))
(if (<=.f64 re #s(literal -1770887431076117/295147905179352825856 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4332790137498831/77371252455336267181195264 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 3602879701896397/18014398509481984 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im) (exp.f64 re)))
(if (<=.f64 re #s(literal -380 binary64)) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 8975065284819007/309485009821345068724781056 binary64)) (cos.f64 im) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))))
(if (<=.f64 re #s(literal -5831192761049855/1267650600228229401496703205376 binary64)) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 8700000000000000000000 binary64)) (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))))
(if (<=.f64 re #s(literal -5831192761049855/1267650600228229401496703205376 binary64)) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120000 binary64)) (+.f64 #s(literal 1 binary64) re) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -7378697629483821/147573952589676412928 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4332790137498831/77371252455336267181195264 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 re #s(literal 15999999999999999995734448065970459917688624305894986980573443008389914872358780186766716153033074535098710061184459360326281505506064483522128253756112896 binary64)) (exp.f64 re) (/.f64 (.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) re) re))))
(if (<=.f64 re #s(literal -7378697629483821/147573952589676412928 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4332790137498831/77371252455336267181195264 binary64)) (.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (if (<=.f64 re #s(literal 15999999999999999995734448065970459917688624305894986980573443008389914872358780186766716153033074535098710061184459360326281505506064483522128253756112896 binary64)) (exp.f64 re) (/.f64 (.f64 re (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) re))))
(if (<=.f64 re #s(literal -1770887431076117/295147905179352825856 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4332790137498831/77371252455336267181195264 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (or (<=.f64 re #s(literal -1770887431076117/295147905179352825856 binary64)) (not (<=.f64 re #s(literal 4332790137498831/77371252455336267181195264 binary64)))) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 re) #s(literal 3602879701896397/18014398509481984 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 3602879701896397/18014398509481984 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 1 binary64)))) (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -380 binary64)) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 8975065284819007/309485009821345068724781056 binary64)) (cos.f64 im) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))))
(if (<=.f64 re #s(literal -380 binary64)) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 8975065284819007/309485009821345068724781056 binary64)) (cos.f64 im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))
(if (<=.f64 re #s(literal -5831192761049855/1267650600228229401496703205376 binary64)) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 8700000000000000000000 binary64)) (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))))
(if (<=.f64 re #s(literal -5831192761049855/1267650600228229401496703205376 binary64)) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 8700000000000000000000 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))
(if (<=.f64 re #s(literal -5831192761049855/1267650600228229401496703205376 binary64)) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120000 binary64)) (+.f64 #s(literal 1 binary64) re) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (.f64 re #s(literal -1/2 binary64))))))
(if (or (<=.f64 re #s(literal -5831192761049855/1267650600228229401496703205376 binary64)) (not (<=.f64 re #s(literal 1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120000 binary64)))) (.f64 (.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64)))) (+.f64 re #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

Compiler

Compiled 173 to 120 computations (30.6% saved)

soundness762.0ms (11.1%)

Rules

959×	`log1p-expm1-u`
959×	`expm1-log1p-u`
904×	`log1p-expm1-u`
809×	`distribute-lft-in`
758×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	465	7547
1	1113	7362
2	3505	7243
0	21	162
1	302	162
2	4365	162
0	724	14704
1	1767	14003
2	5844	13861
0	101	1328
1	249	1267
2	754	1237
3	2281	1222
4	6377	1219
0	28	194
1	465	175
2	6602	175

Stop Event

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

Compiler

Compiled 227 to 154 computations (32.2% saved)

end0.0ms (0%)

preprocess98.0ms (1.4%)

Remove: (abs im)
Compiler: Compiled 384 to 240 computations (37.5% 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%)

sample1.3s (19%)

preprocess123.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize139.0ms (2%)

series4.0ms (0.1%)

rewrite321.0ms (4.7%)

simplify72.0ms (1.1%)

eval15.0ms (0.2%)

prune8.0ms (0.1%)

localize379.0ms (5.5%)

series10.0ms (0.1%)

rewrite106.0ms (1.5%)

simplify118.0ms (1.7%)

eval77.0ms (1.1%)

prune42.0ms (0.6%)

localize182.0ms (2.7%)

series19.0ms (0.3%)

rewrite189.0ms (2.8%)

simplify225.0ms (3.3%)

eval437.0ms (6.4%)

prune225.0ms (3.3%)

localize554.0ms (8.1%)

series40.0ms (0.6%)

rewrite187.0ms (2.7%)

simplify199.0ms (2.9%)

eval413.0ms (6%)

prune73.0ms (1.1%)

regimes26.0ms (0.4%)

regimes51.0ms (0.7%)

regimes132.0ms (1.9%)

regimes65.0ms (0.9%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch64.0ms (0.9%)

bsearch49.0ms (0.7%)

bsearch0.0ms (0%)

bsearch44.0ms (0.6%)

bsearch27.0ms (0.4%)

bsearch30.0ms (0.4%)

simplify10.0ms (0.1%)

soundness762.0ms (11.1%)

end0.0ms (0%)

preprocess98.0ms (1.4%)

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