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

sample1.4s (23.7%)

Results

949.0ms	6169×	256	valid
379.0ms	2086×	256	infinite
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 480.0ms

Operation ival-cos, time spent: 279.0ms, 58.0% of total-time

Operation ival-mult, time spent: 108.0ms, 23.0% of total-time

Operation ival-exp, time spent: 83.0ms, 17.0% of total-time

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

Bogosity

preprocess124.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

222×	`fma-define`
60×	`fma-neg`
46×	`sub-neg`
32×	`associate-r`
28×	`+-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: 22.0ms

Operation ival-cos, time spent: 13.0ms, 59.0% of total-time

Operation ival-exp, time spent: 4.0ms, 18.0% of total-time

Operation ival-mult, time spent: 4.0ms, 18.0% of total-time

Operation const, time spent: 1.0ms, 5.0% 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)

localize34.0ms (0.6%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

Operation ival-cos, time spent: 7.0ms, 56.0% of total-time

Operation ival-mult, time spent: 3.0ms, 24.0% of total-time

Operation ival-exp, time spent: 2.0ms, 16.0% of total-time

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

series5.0ms (0.1%)

Counts

2 → 28

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite181.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`unpow-prod-down`
472×	`log-prod`
460×	`cbrt-prod`
398×	`log1p-expm1-u`
398×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	101	29
2	1105	29

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

simplify100.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1878×	`fma-define`
1830×	`fma-neg`
730×	`sub-neg`
692×	`*-commutative`
606×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	2070
1	414	1967
2	1346	1940
3	4254	1921
4	6413	1921

Stop Event

1×	node limit

Counts

85 → 103

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.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 -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(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) (cos.f64 im))
(+.f64 (.f64 (cos.f64 (+.f64 #s(literal 1 binary64) im)) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (+.f64 #s(literal 1 binary64) im)) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)))
(*.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 im))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(pow.f64 (cos.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (cos.f64 im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cos.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 im)))) (sqrt.f64 (log.f64 (cos.f64 im))))
(sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 im)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 im)))
(log1p.f64 (expm1.f64 (cos.f64 im)))
(exp.f64 (log.f64 (cos.f64 im)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 im))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 re)) #s(literal 2 binary64)) (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 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #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 (cos.f64 im) (exp.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(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
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.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)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.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 -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(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 #s(literal 1 binary64) re))
(+.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 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))) (cos.f64 im))
(fma.f64 re (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (fma.f64 #s(literal 1/2 binary64) re #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 #s(literal 1/2 binary64) (cos.f64 im)))))))
(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))
(fma.f64 re (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 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)) (fma.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))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (exp.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (exp.f64 re)) (exp.f64 re))
(*.f64 (fma.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)) #s(literal 1 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 (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 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (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 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (exp.f64 re)) (pow.f64 im #s(literal 4 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2 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) (cos.f64 im))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 (+.f64 #s(literal 1 binary64) im)) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (+.f64 #s(literal 1 binary64) im)) (sin.f64 #s(literal 1 binary64))))
(fma.f64 (cos.f64 (+.f64 #s(literal 1 binary64) im)) (cos.f64 #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 #s(literal 1 binary64) im)) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
(cos.f64 im)
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(cos.f64 im)
(*.f64 (cos.f64 im) (log.f64 (E.f64)))
(cos.f64 im)
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(cos.f64 im)
(*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))
(cos.f64 im)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)))
(cos.f64 im)
(*.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)))
(cos.f64 im)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 im))
(cos.f64 im)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(cos.f64 im)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(cos.f64 im)
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))))
(cos.f64 im)
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))))
(pow.f64 (cos.f64 im) #s(literal 1 binary64))
(cos.f64 im)
(pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 3 binary64))
(cos.f64 im)
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(cos.f64 im)
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 im)
(pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 2 binary64))
(cos.f64 im)
(pow.f64 (E.f64) (log.f64 (cos.f64 im)))
(cos.f64 im)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cos.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 im)))) (sqrt.f64 (log.f64 (cos.f64 im))))
(sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cos.f64 im)
(log.f64 (exp.f64 (cos.f64 im)))
(cos.f64 im)
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(cos.f64 im)
(expm1.f64 (log1p.f64 (cos.f64 im)))
(cos.f64 im)
(log1p.f64 (expm1.f64 (cos.f64 im)))
(cos.f64 im)
(exp.f64 (log.f64 (cos.f64 im)))
(cos.f64 im)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(cos.f64 im)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 im))) #s(literal 1/3 binary64)))
(cos.f64 im)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 im))) #s(literal 2 binary64)))
(cos.f64 im)
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (cos.f64 im) (exp.f64 re))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 re)) #s(literal 2 binary64)) (cos.f64 im)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 re)) #s(literal 2 binary64)) (cos.f64 im)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re)))))
(+.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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 3 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #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 (cos.f64 im) (exp.f64 re)) #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 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)))
(*.f64 (cos.f64 im) (exp.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(*.f64 (cos.f64 im) (exp.f64 re))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(*.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))

eval23.0ms (0.4%)

Compiler: Compiled 1257 to 630 computations (49.9% saved)

prune26.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	5	104

Accuracy

100.0%

Counts

104 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	99.6%	(.f64 (exp.f64 re) (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im))))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	70.3%	(exp.f64 re)
▶	52.1%	(cos.f64 im)

Compiler

Compiled 35 to 27 computations (22.9% saved)

localize88.0ms (1.5%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
	100.0%	(cos.f64 im)
✓	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	100.0%	(cos.f64 im)
✓	99.9%	(sqrt.f64 (exp.f64 (cos.f64 im)))
✓	99.8%	(exp.f64 (cos.f64 im))
✓	99.2%	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 im))))
	100.0%	(cos.f64 im)

Compiler

Compiled 59 to 20 computations (66.1% saved)

Precisions

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

Operation ival-mult, time spent: 8.0ms, 25.0% of total-time

Operation ival-cos, time spent: 7.0ms, 22.0% of total-time

Operation ival-exp, time spent: 5.0ms, 15.0% of total-time

Operation ival-log, time spent: 5.0ms, 15.0% of total-time

Operation ival-add, time spent: 3.0ms, 9.0% of total-time

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

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

series68.0ms (1.2%)

Counts

4 → 36

Calls

Call 1

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

Outputs
#<alt (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))))>
#<alt (+.f64 (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 12 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) #s(literal 3/4 binary64)))) #s(literal 1/4 binary64))))>
#<alt (+.f64 (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (.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)) (-.f64 (+.f64 (.f64 #s(literal 90 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 360 binary64) (/.f64 (-.f64 (.f64 #s(literal -31/720 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal -1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))))) (exp.f64 #s(literal 1 binary64))))) #s(literal 15/4 binary64)))) (.f64 #s(literal 1/24 binary64) (-.f64 (.f64 #s(literal 12 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) #s(literal 3/4 binary64))))) #s(literal 1/4 binary64))))>
#<alt (exp.f64 #s(literal 1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -31/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))))))))>
#<alt (sqrt.f64 (exp.f64 #s(literal 1 binary64)))>
#<alt (+.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 #s(literal 1 binary64))))))>
#<alt (+.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -31/720 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal -1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #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 (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

15 calls:

Time	Variable		Point	Expression
33.0ms	im	@	inf	(log (sqrt (exp (cos im))))
24.0ms	im	@	-inf	(log (sqrt (exp (cos im))))
2.0ms	im	@	0	(log (sqrt (exp (cos im))))
2.0ms	im	@	inf	(sqrt (exp (cos im)))
1.0ms	im	@	0	(sqrt (exp (cos im)))

rewrite115.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`unpow-prod-down`
756×	`log-prod`
700×	`log1p-expm1-u`
700×	`expm1-log1p-u`
308×	`pow-to-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	71
1	174	65
2	1991	65

Stop Event

1×	node limit

Counts

4 → 224

Calls

Call 1

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

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

simplify325.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1790×	`fma-neg`
792×	`associate-r`
736×	`associate-l`
612×	`unswap-sqr`
560×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	607	7841
1	1226	7646
2	3807	7449
3	7843	7449

Stop Event

1×	node limit

Counts

260 → 350

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 12 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) #s(literal 3/4 binary64)))) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (.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)) (-.f64 (+.f64 (.f64 #s(literal 90 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 360 binary64) (/.f64 (-.f64 (.f64 #s(literal -31/720 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal -1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))))) (exp.f64 #s(literal 1 binary64))))) #s(literal 15/4 binary64)))) (.f64 #s(literal 1/24 binary64) (-.f64 (.f64 #s(literal 12 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) #s(literal 3/4 binary64))))) #s(literal 1/4 binary64))))
(exp.f64 #s(literal 1 binary64))
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -31/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))))))))
(sqrt.f64 (exp.f64 #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 #s(literal 1 binary64))))))
(+.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))))))))
(+.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -31/720 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal -1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))))))))))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 re (cos.f64 im))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (cos.f64 im))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cos.f64 im) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/3 binary64) (cos.f64 im)))
(+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 im)) (.f64 #s(literal 1/4 binary64) (cos.f64 im)))
(+.f64 (.f64 #s(literal 1/3 binary64) (cos.f64 im)) (.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 im))) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (cos.f64 im))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) #s(literal 1/2 binary64))
(.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 im) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(.f64 (cbrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 im)))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3/2 binary64) (cos.f64 im)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 (cos.f64 im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (exp.f64 (cos.f64 im)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (cos.f64 im)))) (cbrt.f64 (exp.f64 (exp.f64 (cos.f64 im)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (cos.f64 im))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (cos.f64 im))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (cos.f64 im))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 im)))) #s(literal 1 binary64))
(*.f64 (exp.f64 (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (exp.f64 (cos.f64 im)) (log.f64 (exp.f64 #s(literal 1 binary64))))
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(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))) (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) (sqrt.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))))
(fabs.f64 (sqrt.f64 (exp.f64 (cos.f64 im))))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (exp.f64 (cos.f64 im))))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(exp.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (cos.f64 im)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 im)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (.f64 (cos.f64 im) #s(literal 1/2 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 (+.f64 re #s(literal 1 binary64))) (cos.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))))
(-.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 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))
(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 (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 re (cos.f64 im) (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
(log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))))
(log.f64 (sqrt.f64 (E.f64)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (log.f64 (sqrt.f64 (E.f64))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 12 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) #s(literal 3/4 binary64)))) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (sqrt.f64 (E.f64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 12 binary64) (/.f64 (*.f64 (E.f64) #s(literal 5/48 binary64)) (E.f64)) #s(literal -3/4 binary64))) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) (fma.f64 #s(literal 12 binary64) (.f64 (E.f64) (/.f64 #s(literal 5/48 binary64) (E.f64))) #s(literal -3/4 binary64)) #s(literal -1/4 binary64)) (log.f64 (sqrt.f64 (E.f64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (log.f64 (sqrt.f64 (E.f64))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (.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)) (-.f64 (+.f64 (.f64 #s(literal 90 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 360 binary64) (/.f64 (-.f64 (.f64 #s(literal -31/720 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal -1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))))) (exp.f64 #s(literal 1 binary64))))) #s(literal 15/4 binary64)))) (.f64 #s(literal 1/24 binary64) (-.f64 (.f64 #s(literal 12 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) #s(literal 3/4 binary64))))) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (sqrt.f64 (E.f64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 90 binary64) (/.f64 (.f64 (E.f64) #s(literal 5/48 binary64)) (E.f64)) (.f64 #s(literal 360 binary64) (/.f64 (+.f64 (.f64 (E.f64) #s(literal -31/720 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (E.f64) #s(literal 5/48 binary64)))) (E.f64)))) #s(literal -15/4 binary64))) (.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 12 binary64) (/.f64 (*.f64 (E.f64) #s(literal 5/48 binary64)) (E.f64)) #s(literal -3/4 binary64)))) #s(literal -1/4 binary64))))
(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)) #s(literal 1/720 binary64)) (fma.f64 (.f64 (E.f64) (/.f64 #s(literal 5/48 binary64) (E.f64))) #s(literal 90 binary64) (fma.f64 #s(literal 360 binary64) (/.f64 (fma.f64 (E.f64) #s(literal -31/720 binary64) (neg.f64 (.f64 (E.f64) #s(literal -5/192 binary64)))) (E.f64)) #s(literal -15/4 binary64))) (.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 12 binary64) (*.f64 (E.f64) (/.f64 #s(literal 5/48 binary64) (E.f64))) #s(literal -3/4 binary64)))) #s(literal -1/4 binary64)) (log.f64 (sqrt.f64 (E.f64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (log.f64 (sqrt.f64 (E.f64))))
(exp.f64 #s(literal 1 binary64))
(E.f64)
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))
(+.f64 (E.f64) (.f64 #s(literal -1/2 binary64) (.f64 (E.f64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (E.f64) (pow.f64 im #s(literal 2 binary64))) (E.f64))
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))
(+.f64 (E.f64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (E.f64) (.f64 #s(literal 1/6 binary64) (*.f64 (E.f64) (pow.f64 im #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (E.f64) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/6 binary64)))) (E.f64))
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -31/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))))))))
(+.f64 (E.f64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (E.f64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -31/720 binary64) (.f64 (E.f64) (pow.f64 im #s(literal 2 binary64))) (.f64 (E.f64) #s(literal 1/6 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (E.f64) #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (E.f64) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -31/720 binary64)))))) (E.f64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (E.f64) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -31/720 binary64)))) (*.f64 (E.f64) #s(literal -1/2 binary64))) (E.f64))
(sqrt.f64 (exp.f64 #s(literal 1 binary64)))
(sqrt.f64 (E.f64))
(+.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 #s(literal 1 binary64))))))
(+.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (E.f64)) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (E.f64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 (E.f64)))
(+.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))))))))
(+.f64 (sqrt.f64 (E.f64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (E.f64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (E.f64) #s(literal 5/48 binary64))) (sqrt.f64 (exp.f64 #s(literal -1 binary64))))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (E.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (exp.f64 #s(literal -1 binary64))) (.f64 (.f64 (E.f64) #s(literal 5/48 binary64)) #s(literal 1/2 binary64))))) (sqrt.f64 (E.f64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (exp.f64 #s(literal -1 binary64))) (pow.f64 im #s(literal 2 binary64))) (.f64 (E.f64) #s(literal 5/48 binary64))) (.f64 (sqrt.f64 (E.f64)) #s(literal -1/4 binary64))) (sqrt.f64 (E.f64)))
(+.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -31/720 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal -1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))))))))))
(+.f64 (sqrt.f64 (E.f64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (E.f64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 (E.f64) #s(literal 5/48 binary64)) (sqrt.f64 (exp.f64 #s(literal -1 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 (.f64 (E.f64) #s(literal -31/720 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (E.f64) #s(literal 5/48 binary64)))) (sqrt.f64 (exp.f64 #s(literal -1 binary64)))))))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (E.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (exp.f64 #s(literal -1 binary64))) (+.f64 (.f64 (E.f64) #s(literal 5/48 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (E.f64) #s(literal -31/720 binary64) (neg.f64 (.f64 (E.f64) #s(literal -5/192 binary64)))))))))) (sqrt.f64 (E.f64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (E.f64)) #s(literal -1/4 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (exp.f64 #s(literal -1 binary64))) (+.f64 (.f64 (E.f64) #s(literal 5/48 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (E.f64) #s(literal -49/2880 binary64))))) (pow.f64 im #s(literal 2 binary64))))) (sqrt.f64 (E.f64)))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.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 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 re (cos.f64 im))
(*.f64 (cos.f64 im) re)
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(log.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))
(*.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)))))
(*.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 (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 re (cos.f64 im) (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))

eval290.0ms (5%)

Compiler: Compiled 12489 to 7553 computations (39.5% saved)

prune92.0ms (1.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	802	7	809
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	803	11	814

Accuracy

100.0%

Counts

814 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.2%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
▶	31.4%	(+.f64 #s(literal 1 binary64) re)
	36.0%	(.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))
	52.2%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	52.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	99.6%	(.f64 (exp.f64 re) (.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	3.5%	(*.f64 (cos.f64 im) re)
✓	70.3%	(exp.f64 re)
✓	52.1%	(cos.f64 im)
▶	31.3%	#s(literal 1 binary64)

Compiler

Compiled 145 to 119 computations (17.9% saved)

localize172.0ms (2.9%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	99.7%	(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
	100.0%	(cos.f64 im)
✓	99.8%	(*.f64 (cos.f64 im) re)
✓	100.0%	(.f64 (exp.f64 re) (.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))))
	100.0%	(cos.f64 im)
✓	100.0%	(exp.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))
✓	99.2%	(log.f64 (exp.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))

Compiler

Compiled 78 to 49 computations (37.2% saved)

Precisions

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

Operation ival-exp, time spent: 24.0ms, 31.0% of total-time

Operation ival-mult, time spent: 21.0ms, 27.0% of total-time

Operation ival-log, time spent: 13.0ms, 17.0% of total-time

Operation ival-cos, time spent: 7.0ms, 9.0% of total-time

Operation ival-pow, time spent: 5.0ms, 6.0% of total-time

Operation ival-add, time spent: 3.0ms, 4.0% of total-time

Operation const, time spent: 3.0ms, 4.0% of total-time

series10.0ms (0.2%)

Counts

6 → 81

Calls

Call 1

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

Outputs
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/4 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 im))>
#<alt (exp.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (exp.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 5/96 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (exp.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -49/5760 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 5/96 binary64) (exp.f64 #s(literal 1/2 binary64))))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))>
#<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 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 #s(literal 1 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 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 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 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))>

Calls

24 calls:

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

rewrite239.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`log1p-expm1-u`
1018×	`expm1-log1p-u`
560×	`fma-define`
556×	`prod-diff`
382×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	120
1	273	102
2	3121	102

Stop Event

1×	node limit

Counts

6 → 136

Calls

Call 1

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

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

simplify175.0ms (3%)

Algorithm

1×	egg-herbie

Rules

858×	`*-commutative`
810×	`associate-+l+`
604×	`times-frac`
592×	`exp-prod`
526×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	361	5639
1	753	5362
2	2194	4697
3	4189	4671
4	7186	4671

Stop Event

1×	node limit

Counts

217 → 226

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(exp.f64 #s(literal 1/2 binary64))
(+.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64)))))
(+.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (exp.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 5/96 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64)))))))
(+.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (exp.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -49/5760 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 5/96 binary64) (exp.f64 #s(literal 1/2 binary64))))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(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))
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))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 im)))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 im))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 im)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 (cos.f64 im)) #s(literal 1/4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 im) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cos.f64 im)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (cos.f64 im)) (.f64 (sqrt.f64 (cos.f64 im)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (cos.f64 im))) (sqrt.f64 (cos.f64 im)))
(pow.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (cos.f64 im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (cos.f64 im))))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 im))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))) (cbrt.f64 (exp.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 im))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(*.f64 (pow.f64 (exp.f64 (cos.f64 im)) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 (cos.f64 im)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (cos.f64 im)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 im))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(sqrt.f64 (exp.f64 (cos.f64 im)))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (exp.f64 (cos.f64 im))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(exp.f64 (*.f64 (+.f64 re (log.f64 (cos.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) re))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 im) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) re))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) re)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) re)))
(exp.f64 (log.f64 (*.f64 (cos.f64 im) re)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 im) re)) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (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 (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 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (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 (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 (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 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.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) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 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 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 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)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (neg.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))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.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 (cbrt.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 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(cbrt.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)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.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 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 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)))) #s(literal 1 binary64))
(fma.f64 (.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (.f64 im (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #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)) #s(literal 1 binary64))

Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/1440 binary64))) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 im))
(exp.f64 #s(literal 1/2 binary64))
(+.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64)))))
(.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (exp.f64 #s(literal 1/2 binary64)))
(+.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (exp.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 5/96 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64)))))))
(+.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (exp.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64))) #s(literal 5/96 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 5/96 binary64)) #s(literal -1/4 binary64))) (exp.f64 #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 5/96 binary64)))) (exp.f64 #s(literal 1/2 binary64)))
(+.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (exp.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -49/5760 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 5/96 binary64) (exp.f64 #s(literal 1/2 binary64))))))))
(+.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (exp.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -49/5760 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 5/96 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -49/5760 binary64)) #s(literal 5/96 binary64))) (*.f64 #s(literal -1/4 binary64) (exp.f64 #s(literal 1/2 binary64)))) (exp.f64 #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (exp.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 5/96 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -49/5760 binary64)))))) (exp.f64 #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 5/96 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -49/5760 binary64)))) #s(literal -1/4 binary64))) (exp.f64 #s(literal 1/2 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 im))
(sqrt.f64 (exp.f64 (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 im))
(sqrt.f64 (exp.f64 (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 im))
(sqrt.f64 (exp.f64 (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 im))
(sqrt.f64 (exp.f64 (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 im))
(sqrt.f64 (exp.f64 (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 im))
(sqrt.f64 (exp.f64 (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 im))
(sqrt.f64 (exp.f64 (cos.f64 im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 im))
(sqrt.f64 (exp.f64 (cos.f64 im)))
(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 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) re)))))
(fma.f64 re (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) (cos.f64 im)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 #s(literal 1/2 binary64) re))))
(.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.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 #s(literal 1/2 binary64) (cos.f64 im)))))))
(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) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))) (cos.f64 im)) (cos.f64 im))
(fma.f64 re (.f64 (cos.f64 im) (+.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 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 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re))
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 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 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (exp.f64 re))
(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 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 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 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (.f64 (exp.f64 re) #s(literal 1/24 binary64)))))))
(+.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)) (.f64 (.f64 (exp.f64 re) (+.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 (.f64 (.f64 (exp.f64 re) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (pow.f64 im #s(literal 4 binary64))) (.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 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)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 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))
re
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 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 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 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 (pow.f64 im #s(literal 2 binary64)) re) (.f64 re #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 re #s(literal -1/2 binary64))) re)
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (*.f64 re #s(literal -1/2 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)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 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)
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
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(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(expm1.f64 (log1p.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 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(log1p.f64 (expm1.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 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (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))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(exp.f64 (.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 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))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -1/2 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))) #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)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 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)))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (.f64 im (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 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)) #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))) #s(literal 1 binary64))

eval193.0ms (3.3%)

Compiler: Compiled 5957 to 3915 computations (34.3% saved)

prune54.0ms (0.9%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	425	5	430
Fresh	2	0	2
Picked	1	4	5
Done	0	4	4
Total	428	13	441

Accuracy

100.0%

Counts

441 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	31.4%	(+.f64 #s(literal 1 binary64) re)
▶	15.5%	(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))
▶	3.5%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)) re)
✓	52.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	9.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)
✓	99.6%	(.f64 (exp.f64 re) (.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	63.6%	(.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 #s(literal 1/2 binary64) re))))
✓	3.5%	(*.f64 (cos.f64 im) re)
✓	70.3%	(exp.f64 re)
✓	52.1%	(cos.f64 im)
▶	3.3%	re
✓	31.3%	#s(literal 1 binary64)

Compiler

Compiled 140 to 109 computations (22.1% saved)

localize176.0ms (3%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
	99.7%	(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	94.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)
	100.0%	(cos.f64 im)
✓	99.8%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)) re)
✓	99.6%	(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
✓	99.4%	(+.f64 #s(literal 1 binary64) (cos.f64 im))
✓	99.7%	(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))
	100.0%	(cos.f64 im)
✓	99.9%	(.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 #s(literal 1/2 binary64) re))))

Compiler

Compiled 105 to 68 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

Operation ival-mult, time spent: 25.0ms, 37.0% of total-time

Operation ival-add, time spent: 16.0ms, 24.0% of total-time

Operation ival-pow, time spent: 12.0ms, 18.0% of total-time

Operation ival-cos, time spent: 7.0ms, 10.0% of total-time

Operation const, time spent: 5.0ms, 7.0% of total-time

Operation ival-sub, time spent: 3.0ms, 4.0% of total-time

series14.0ms (0.2%)

Counts

6 → 100

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite166.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`log1p-expm1-u`
403×	`expm1-log1p-u`
316×	`associate-r`
208×	`associate-l`
170×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	157
1	396	125
2	5556	125

Stop Event

1×	node limit

Counts

6 → 163

Calls

Call 1

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

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

simplify218.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1286×	`fma-neg`
666×	`associate-r`
646×	`fma-define`
620×	`associate-l`
616×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	457	8401
1	1108	7971
2	4996	7887

Stop Event

1×	node limit

Counts

263 → 271

Calls

Call 1

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

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

eval233.0ms (4%)

Compiler: Compiled 8829 to 6089 computations (31% saved)

prune82.0ms (1.4%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	553	4	557
Fresh	0	0	0
Picked	2	3	5
Done	1	7	8
Total	556	14	570

Accuracy

100.0%

Counts

570 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(+.f64 (.f64 (cos.f64 im) re) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (cos.f64 im)))
✓	31.4%	(+.f64 #s(literal 1 binary64) re)
	16.9%	(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re #s(literal -1/2 binary64)))
✓	15.5%	(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	52.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	41.2%	(.f64 (+.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)) (.f64 re (.f64 #s(literal 1/2 binary64) re))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	63.6%	(.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 #s(literal 1/2 binary64) re))))
✓	3.5%	(*.f64 (cos.f64 im) re)
	36.9%	(.f64 #s(literal 1 binary64) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 #s(literal 1/2 binary64) re))))
✓	70.3%	(exp.f64 re)
✓	52.1%	(cos.f64 im)
✓	3.3%	re
✓	31.3%	#s(literal 1 binary64)

Compiler

Compiled 278 to 194 computations (30.2% saved)

regimes42.0ms (0.7%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	im
10.0ms	re
8.0ms	(cos.f64 im)
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(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)

regimes116.0ms (2%)

Counts

17 → 4

Calls

Call 1

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

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

Calls

4 calls:

55.0ms	re
29.0ms	im
26.0ms	(cos.f64 im)
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
97.0%	4	`re`
82.1%	2	`im`
91.0%	3	`(exp.f64 re)`
83.0%	2	`(cos.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes152.0ms (2.6%)

Counts

15 → 3

Calls

Call 1

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

Calls

2 calls:

146.0ms	re
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
90.9%	3	`(exp.f64 re)`
93.1%	5	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes5.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

(exp.f64 re)

Results

Accuracy	Segments	Branch
90.8%	3	`(exp.f64 re)`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes117.0ms (2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

100.0ms	re
8.0ms	im
7.0ms	(cos.f64 im)

Results

Accuracy	Segments	Branch
56.2%	2	`im`
56.2%	2	`(cos.f64 im)`
57.7%	2	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	re
4.0ms	im

Results

Accuracy	Segments	Branch
36.9%	1	`im`
36.9%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
31.4%	1	`re`
31.4%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -18.4b remaining (-41.8%)

Threshold costs -18.4b (-41.8%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re

Outputs
#s(literal 1 binary64)

Calls

2 calls:

4.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
31.3%	1	`re`
31.3%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch49.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	3.063363263710802e+140	1.0475996791607982e+149
7.0ms	1.2317946036342874e+20	1.6570891264509067e+20
21.0ms	-1467944.5779632353	-315.61316230800895

Results

24.0ms	191×	256	infinite
19.0ms	128×	256	valid
0.0ms	1×	256	infinite

Compiler

Compiled 412 to 309 computations (25% saved)

Precisions

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

Operation ival-cos, time spent: 9.0ms, 59.0% of total-time

Operation ival-exp, time spent: 3.0ms, 20.0% 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	+inf
0.0ms	8.529924626401982e-138	0.9999956778799608

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.0	8.529924626401982e-138

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch7.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.2317946036342874e+20	1.6570891264509067e+20

Results

5.0ms	47×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 69 to 54 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

Operation ival-cos, time spent: 1.0ms, 53.0% of total-time

Operation ival-exp, 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

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	351
1	68	350
2	71	350
3	74	346
4	75	346
5	76	346

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -320 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 125000000000000000000 binary64)) (.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 #s(literal 1/2 binary64) re)))) (if (<=.f64 re #s(literal 101999999999999997045827563682152733733138005585086282159041939690655878557726191590203402242932412926682915415725049908889370089167262544109726859264 binary64)) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 #s(literal 1/2 binary64) re)))))))
(if (<=.f64 (exp.f64 re) #s(literal 8379879956214123/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im) (exp.f64 re)))
(if (<=.f64 re #s(literal 160000000000000000000 binary64)) (cos.f64 im) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 #s(literal 1/2 binary64) re)))))
(.f64 #s(literal 1 binary64) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -320 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 125000000000000000000 binary64)) (.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 #s(literal 1/2 binary64) re)))) (if (<=.f64 re #s(literal 101999999999999997045827563682152733733138005585086282159041939690655878557726191590203402242932412926682915415725049908889370089167262544109726859264 binary64)) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 #s(literal 1/2 binary64) re)))))))
(if (<=.f64 re #s(literal -320 binary64)) (exp.f64 re) (if (or (<=.f64 re #s(literal 125000000000000000000 binary64)) (not (<=.f64 re #s(literal 101999999999999997045827563682152733733138005585086282159041939690655878557726191590203402242932412926682915415725049908889370089167262544109726859264 binary64)))) (.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64))))) (exp.f64 re)))
(if (or (<=.f64 re #s(literal -320 binary64)) (not (or (<=.f64 re #s(literal 125000000000000000000 binary64)) (not (<=.f64 re #s(literal 101999999999999997045827563682152733733138005585086282159041939690655878557726191590203402242932412926682915415725049908889370089167262544109726859264 binary64)))))) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64))))))
(if (or (<=.f64 re #s(literal -320 binary64)) (and (not (<=.f64 re #s(literal 125000000000000000000 binary64))) (<=.f64 re #s(literal 101999999999999997045827563682152733733138005585086282159041939690655878557726191590203402242932412926682915415725049908889370089167262544109726859264 binary64)))) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 (exp.f64 re) #s(literal 8379879956214123/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 8379879956214123/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 binary64)))) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 binary64)))) (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal 160000000000000000000 binary64)) (cos.f64 im) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 #s(literal 1/2 binary64) re)))))
(if (<=.f64 re #s(literal 160000000000000000000 binary64)) (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re #s(literal 1/2 binary64)))))
(.f64 #s(literal 1 binary64) (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (*.f64 #s(literal 1/2 binary64) re))))
(+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

Compiler

Compiled 110 to 78 computations (29.1% saved)

soundness603.0ms (10.3%)

Rules

1878×	`fma-define`
1830×	`fma-neg`
1294×	`unpow-prod-down`
858×	`*-commutative`
810×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	71
1	174	65
2	1991	65
0	11	29
1	101	29
2	1105	29
0	200	2070
1	414	1967
2	1346	1940
3	4254	1921
4	6413	1921
0	361	5639
1	753	5362
2	2194	4697
3	4189	4671
4	7186	4671

Stop Event

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

Compiler

Compiled 253 to 118 computations (53.4% saved)

end0.0ms (0%)

preprocess76.0ms (1.3%)

Remove: (abs im)
Compiler: Compiled 276 to 174 computations (37% 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%)

sample1.4s (23.7%)

preprocess124.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize34.0ms (0.6%)

series5.0ms (0.1%)

rewrite181.0ms (3.1%)

simplify100.0ms (1.7%)

eval23.0ms (0.4%)

prune26.0ms (0.4%)

localize88.0ms (1.5%)

series68.0ms (1.2%)

rewrite115.0ms (2%)

simplify325.0ms (5.6%)

eval290.0ms (5%)

prune92.0ms (1.6%)

localize172.0ms (2.9%)

series10.0ms (0.2%)

rewrite239.0ms (4.1%)

simplify175.0ms (3%)

eval193.0ms (3.3%)

prune54.0ms (0.9%)

localize176.0ms (3%)

series14.0ms (0.2%)

rewrite166.0ms (2.8%)

simplify218.0ms (3.7%)

eval233.0ms (4%)

prune82.0ms (1.4%)

regimes42.0ms (0.7%)

regimes116.0ms (2%)

regimes152.0ms (2.6%)

regimes5.0ms (0.1%)

regimes117.0ms (2%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch49.0ms (0.8%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch7.0ms (0.1%)

simplify66.0ms (1.1%)

soundness603.0ms (10.3%)

end0.0ms (0%)

preprocess76.0ms (1.3%)

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