Metrics for math.exp on complex, real part

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (16.8%)

Results

793.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 555.0ms

ival-cos: 270.0ms (48.7% of total)

ival-mult: 214.0ms (38.6% of total)

ival-exp: 61.0ms (11% of total)

const: 7.0ms (1.3% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess96.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

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)

explain53.0ms (0.8%)

FPErrors

Click to see full error table

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

Results

36.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-cos: 12.0ms (60.6% of total)

ival-exp: 4.0ms (20.2% of total)

ival-mult: 4.0ms (20.2% of total)

const: 0.0ms (0% of total)

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

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)

localize175.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(exp.f64 re)
✓	cost-diff	0	(*.f64 (exp.f64 re) (cos.f64 im))
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	12	45

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

18.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-cos: 6.0ms (62.7% of total)

ival-exp: 2.0ms (20.9% of total)

ival-mult: 2.0ms (20.9% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 32

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite195.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	101	37
2	1105	37

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

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

simplify140.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

571×	`distribute-lft-in`
500×	`distribute-rgt-in`
380×	`fmm-def`
322×	`prod-exp`
293×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	3260
1	582	3109
2	1858	3068
3	5320	3051

Stop Event

1×	node limit

Counts

133 → 158

Calls

Call 1

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

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

eval42.0ms (0.6%)

Compiler: Compiled 1882 to 535 computations (71.6% saved)

prune32.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	152	6	158
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	152	7	159

Accuracy

100.0%

Counts

159 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (E.f64)) (cos.f64 im))
▶	52.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	66.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im))
▶	64.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	72.1%	(exp.f64 re)
▶	51.4%	(cos.f64 im)

Compiler

Compiled 125 to 93 computations (25.6% saved)

localize207.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
✓	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(*.f64 re #s(literal 1/2 binary64))
	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	cost-diff	-128	(exp.f64 re)
	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) re)
✓	cost-diff	0	(exp.f64 (+.f64 #s(literal 1 binary64) re))
✓	cost-diff	256	(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (E.f64))
✓	cost-diff	256	(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (E.f64)) (cos.f64 im))
✓	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	accuracy	100.0%	(exp.f64 re)
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(E.f64)
✓	accuracy	100.0%	(exp.f64 (+.f64 #s(literal 1 binary64) re))
✓	accuracy	100.0%	(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (E.f64)) (cos.f64 im))
✓	accuracy	100.0%	(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (E.f64))

Rules

464×	`distribute-lft-in`
440×	`associate-*r/`
416×	`distribute-rgt-in`
387×	`associate-*l/`
385×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	333
1	48	303
2	94	285
3	206	267
4	366	267
5	800	267
6	4001	267

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

59.0ms

256×

valid

Compiler

Compiled 93 to 19 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 9.0ms (30.2% of total)

ival-cos: 7.0ms (23.5% of total)

ival-add: 6.0ms (20.1% of total)

ival-exp: 4.0ms (13.4% of total)

ival-div: 2.0ms (6.7% of total)

ival-e: 2.0ms (6.7% of total)

const: 0.0ms (0% of total)

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

series22.0ms (0.3%)

Counts

11 → 145

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	(* (+ 1 (* re (+ 1 (* re 1/2)))) (cos im))
2.0ms	re	@	-inf	(* (+ re 1) (cos im))
1.0ms	re	@	-inf	(/ (exp (+ 1 re)) (E))
1.0ms	im	@	0	(* (/ (exp (+ 1 re)) (E)) (cos im))
1.0ms	im	@	inf	(* (/ (exp (+ 1 re)) (E)) (cos im))

rewrite288.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`prod-diff`
747×	`log1p-expm1-u`
156×	`expm1-log1p-u`
155×	`add-log-exp`
154×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	212
1	360	168
2	4923	168

Stop Event

1×	node limit

Counts

11 → 308

Calls

Call 1

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

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

simplify310.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

539×	`associate-r`
440×	`associate-l`
342×	`fma-define`
341×	`exp-prod`
335×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	682	16721
1	1647	10541
2	6773	10527

Stop Event

1×	node limit

Counts

453 → 414

Calls

Call 1

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

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

eval159.0ms (2.4%)

Compiler: Compiled 9403 to 1798 computations (80.9% saved)

prune270.0ms (4.1%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	664	10	674
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	666	15	681

Accuracy

100.0%

Counts

681 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (*.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (E.f64))
	28.8%	(+.f64 re #s(literal 1 binary64))
	40.4%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
▶	38.4%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	28.7%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
	64.1%	(.f64 (/.f64 (+.f64 (E.f64) (.f64 re (+.f64 (E.f64) (.f64 (.f64 (E.f64) re) #s(literal 1/2 binary64))))) (E.f64)) (cos.f64 im))
	30.3%	(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))
✓	52.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	64.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
▶	52.4%	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	3.8%	(*.f64 re (cos.f64 im))
✓	72.1%	(exp.f64 re)
✓	51.4%	(cos.f64 im)
▶	28.2%	#s(literal 1 binary64)

Compiler

Compiled 239 to 181 computations (24.3% saved)

localize190.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) re)
✓	cost-diff	128	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (cos.f64 im))
	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(*.f64 re (cos.f64 im))
✓	cost-diff	-12544	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
	cost-diff	0	(*.f64 re #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) re)
	cost-diff	0	(exp.f64 (+.f64 #s(literal 1 binary64) re))
✓	cost-diff	0	(*.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
✓	cost-diff	256	(/.f64 (*.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (E.f64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) re)
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re))
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (cos.f64 im))
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.9%	(*.f64 re (cos.f64 im))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
	accuracy	100.0%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
	accuracy	100.0%	(E.f64)
	accuracy	100.0%	(exp.f64 (+.f64 #s(literal 1 binary64) re))
✓	accuracy	99.9%	(*.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
✓	accuracy	99.8%	(/.f64 (*.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (E.f64))

Rules

759×	`times-frac`
568×	`sub-neg`
407×	`div-sub`
358×	`associate-/r*`
290×	`associate--l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	289
1	55	273
2	109	271
3	243	259
4	489	259
5	1045	259
6	3319	259
7	6759	259

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

61.0ms

256×

valid

Compiler

Compiled 90 to 21 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 11.0ms (36.7% of total)

ival-add: 7.0ms (23.4% of total)

ival-cos: 6.0ms (20% of total)

ival-div: 2.0ms (6.7% of total)

ival-exp: 2.0ms (6.7% of total)

ival-e: 2.0ms (6.7% of total)

const: 1.0ms (3.3% of total)

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

series10.0ms (0.2%)

Counts

8 → 118

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite426.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1289×	`log1p-expm1-u`
321×	`expm1-log1p-u`
171×	`add-log-exp`
170×	`add-exp-log`
170×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	163
1	400	155
2	5495	155

Stop Event

1×	node limit

Counts

8 → 268

Calls

Call 1

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

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

simplify184.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

353×	`cancel-sign-sub-inv`
335×	`associate-r`
291×	`associate-l`
281×	`fma-define`
268×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	612	13371
1	1499	10281
2	5099	10111

Stop Event

1×	node limit

Counts

386 → 346

Calls

Call 1

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

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

eval222.0ms (3.4%)

Compiler: Compiled 9348 to 1897 computations (79.7% saved)

prune95.0ms (1.4%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	652	3	655
Fresh	1	4	5
Picked	0	5	5
Done	0	5	5
Total	653	17	670

Accuracy

100.0%

Counts

670 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (cos.f64 im) (E.f64))) (E.f64))
✓	99.9%	(/.f64 (*.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (E.f64))
	6.8%	(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
▶	28.8%	(+.f64 re #s(literal 1 binary64))
▶	40.4%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
✓	38.4%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
▶	28.7%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
▶	64.1%	(.f64 (/.f64 (+.f64 (E.f64) (.f64 re (+.f64 (E.f64) (.f64 (.f64 (E.f64) re) #s(literal 1/2 binary64))))) (E.f64)) (cos.f64 im))
✓	52.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	64.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	52.4%	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	3.8%	(*.f64 re (cos.f64 im))
✓	72.1%	(exp.f64 re)
✓	51.4%	(cos.f64 im)
▶	3.5%	re
✓	28.2%	#s(literal 1 binary64)

Compiler

Compiled 224 to 167 computations (25.4% saved)

localize417.0ms (6.3%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	cost-diff	-12544	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
✓	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	cost-diff	0	(*.f64 re #s(literal 1/6 binary64))
	cost-diff	0	(+.f64 re #s(literal 1 binary64))
	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(*.f64 (E.f64) re)
✓	cost-diff	0	(.f64 (.f64 (E.f64) re) #s(literal 1/2 binary64))
	cost-diff	0	(E.f64)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 im #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 (/.f64 (+.f64 (E.f64) (.f64 re (+.f64 (E.f64) (.f64 (.f64 (E.f64) re) #s(literal 1/2 binary64))))) (E.f64)) (cos.f64 im))
✓	accuracy	99.9%	(/.f64 (+.f64 (E.f64) (.f64 re (+.f64 (E.f64) (.f64 (*.f64 (E.f64) re) #s(literal 1/2 binary64))))) (E.f64))
✓	accuracy	99.7%	(.f64 re (+.f64 (E.f64) (.f64 (*.f64 (E.f64) re) #s(literal 1/2 binary64))))
✓	accuracy	99.5%	(*.f64 (E.f64) re)

Rules

1080×	`fma-define`
829×	`times-frac`
593×	`distribute-lft-in`
525×	`distribute-rgt-in`
386×	`*-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	518
1	74	446
2	171	446
3	385	436
4	756	436
5	1502	398
6	2387	398
7	4005	398
8	4470	398
9	4972	398
10	5589	398
11	5752	398
12	5875	398
13	5947	398
14	6029	398
15	6248	398
16	7166	398
17	7537	398
18	7826	398

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

86.0ms

256×

valid

Compiler

Compiled 150 to 27 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 26.0ms (49.4% of total)

ival-add: 14.0ms (26.6% of total)

ival-cos: 6.0ms (11.4% of total)

ival-pow: 3.0ms (5.7% of total)

ival-div: 2.0ms (3.8% of total)

ival-e: 2.0ms (3.8% of total)

const: 1.0ms (1.9% of total)

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

series20.0ms (0.3%)

Counts

12 → 129

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite231.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`log1p-expm1-u`
226×	`associate-r`
219×	`expm1-log1p-u`
214×	`add-log-exp`
214×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	319
1	473	279
2	7093	279

Stop Event

1×	node limit

Counts

12 → 279

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (E.f64) re))) #s(literal 1 binary64))
(pow.f64 (*.f64 (E.f64) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (E.f64) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (E.f64) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (E.f64) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (E.f64) re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (E.f64)) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (E.f64) re))))
(cbrt.f64 (pow.f64 (*.f64 (E.f64) re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (exp.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (E.f64) re)))
(log1p.f64 (expm1.f64 (*.f64 (E.f64) re)))
(exp.f64 (+.f64 #s(literal 1 binary64) (log.f64 re)))
(exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 re)) #s(literal 1 binary64)))
(+.f64 (.f64 (E.f64) re) (.f64 (E.f64) (.f64 (.f64 re #s(literal 1/2 binary64)) re)))
(+.f64 (.f64 (E.f64) re) (.f64 (.f64 (E.f64) (.f64 (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)))
(+.f64 (.f64 (E.f64) (.f64 (.f64 re #s(literal 1/2 binary64)) re)) (.f64 (E.f64) re))
(-.f64 (exp.f64 (log1p.f64 (.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 3 binary64)) (pow.f64 (.f64 (E.f64) (.f64 (.f64 re #s(literal 1/2 binary64)) re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (E.f64) (.f64 (.f64 re #s(literal 1/2 binary64)) re)) (.f64 (E.f64) (.f64 (.f64 re #s(literal 1/2 binary64)) re))) (.f64 (.f64 (E.f64) re) (.f64 (E.f64) (.f64 (*.f64 re #s(literal 1/2 binary64)) re))))))
(/.f64 (-.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 2 binary64)) (.f64 (.f64 (E.f64) (.f64 (.f64 re #s(literal 1/2 binary64)) re)) (.f64 (E.f64) (.f64 (.f64 re #s(literal 1/2 binary64)) re)))) (-.f64 (.f64 (E.f64) re) (.f64 (E.f64) (.f64 (.f64 re #s(literal 1/2 binary64)) re))))
(/.f64 (.f64 re (+.f64 (.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (exp.f64 #s(literal 3 binary64)))) (+.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64))))))
(/.f64 (.f64 re (-.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 (E.f64) (.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (exp.f64 #s(literal 3 binary64))) re) (+.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) re) (-.f64 (E.f64) (.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64))) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64))))))
(cbrt.f64 (pow.f64 (.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)))))
(log1p.f64 (expm1.f64 (.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)))))
(exp.f64 (log.f64 (.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)))) #s(literal 1 binary64)))
(fma.f64 (E.f64) re (.f64 (E.f64) (.f64 (*.f64 re #s(literal 1/2 binary64)) re)))
(fma.f64 re (E.f64) (.f64 (E.f64) (.f64 (*.f64 re #s(literal 1/2 binary64)) re)))
(fma.f64 #s(literal 1 binary64) (.f64 (E.f64) re) (.f64 (E.f64) (.f64 (.f64 re #s(literal 1/2 binary64)) re)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (E.f64) re)) #s(literal 2 binary64)) (cbrt.f64 (.f64 (E.f64) re)) (.f64 (E.f64) (.f64 (*.f64 re #s(literal 1/2 binary64)) re)))
(fma.f64 (sqrt.f64 (.f64 (E.f64) re)) (sqrt.f64 (.f64 (E.f64) re)) (.f64 (E.f64) (.f64 (*.f64 re #s(literal 1/2 binary64)) re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64)))) #s(literal 1 binary64))
(.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (exp.f64 #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) (E.f64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) (exp.f64 #s(literal -1 binary64))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64))) (sqrt.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64))))
(.f64 (sqrt.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) (/.f64 (sqrt.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) (E.f64)))
(.f64 (sqrt.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) (.f64 (sqrt.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) (exp.f64 #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) (/.f64 #s(literal 1 binary64) (neg.f64 (E.f64))))
(.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (cbrt.f64 (E.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (/.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (sqrt.f64 (E.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) (E.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) #s(literal 2 binary64)) (sqrt.f64 (E.f64))) (/.f64 (cbrt.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) (sqrt.f64 (E.f64))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) (E.f64)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 re (fma.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) (cbrt.f64 (exp.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) (cbrt.f64 (E.f64))))
(pow.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (E.f64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (E.f64) (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 re (fma.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64)) (E.f64)) (E.f64)) (neg.f64 (E.f64))))
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(*.f64 (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/12 binary64) re)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/12 binary64) re))) (+.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re))))
(/.f64 (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 re #s(literal 1/6 binary64))) (sqrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) im))
(.f64 (.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(.f64 (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(-.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 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 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 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 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 (+.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 #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 #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) (+.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 #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 #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 (+.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 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 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 (-.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 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (+.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 (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 (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(pow.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 (cbrt.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 (pow.f64 (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 (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 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (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 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(cbrt.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)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.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))
(fma.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 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 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))
(-.f64 (exp.f64 (log1p.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (E.f64)) (*.f64 re #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64))))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (+.f64 #s(literal 1 binary64) (log.f64 (*.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (+.f64 #s(literal 1 binary64) (log.f64 (.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

simplify339.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

466×	`fmm-def`
425×	`associate-r`
357×	`associate-l`
260×	`exp-prod`
258×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	718	13801
1	1693	13202
2	5460	12590

Stop Event

1×	node limit

Counts

408 → 431

Calls

Call 1

Inputs
(*.f64 re (E.f64))
(*.f64 re (E.f64))
(*.f64 re (E.f64))
(*.f64 re (E.f64))
(*.f64 re (E.f64))
(*.f64 re (E.f64))
(*.f64 re (E.f64))
(*.f64 re (E.f64))
(*.f64 re (E.f64))
(*.f64 re (E.f64))
(*.f64 re (E.f64))
(*.f64 re (E.f64))
(*.f64 re (E.f64))
(.f64 re (+.f64 (E.f64) (.f64 #s(literal 1/2 binary64) (*.f64 re (E.f64)))))
(.f64 re (+.f64 (E.f64) (.f64 #s(literal 1/2 binary64) (*.f64 re (E.f64)))))
(.f64 re (+.f64 (E.f64) (.f64 #s(literal 1/2 binary64) (*.f64 re (E.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (E.f64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 (E.f64) re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 (E.f64) re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 (E.f64) re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (E.f64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 (E.f64) re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 (E.f64) re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (E.f64)) (/.f64 (E.f64) re)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 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))))))
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(pow.f64 (pow.f64 (*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 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 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 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 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 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 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re))) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/12 binary64) re)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/12 binary64) re))) (+.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re))))
(/.f64 (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 re #s(literal 1/6 binary64))) (sqrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) im))
(.f64 (.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(.f64 (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(-.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 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 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 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 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 (+.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 #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 #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) (+.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 #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 #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 (+.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 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 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 (-.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 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (+.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 (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 (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(pow.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 (cbrt.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 (pow.f64 (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 (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 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (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 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(cbrt.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)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.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))
(fma.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 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 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))
(-.f64 (exp.f64 (log1p.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (E.f64)) (*.f64 re #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64))))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (E.f64) re) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (+.f64 #s(literal 1 binary64) (log.f64 (*.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (+.f64 #s(literal 1 binary64) (log.f64 (.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

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

eval153.0ms (2.3%)

Compiler: Compiled 10650 to 2406 computations (77.4% saved)

prune137.0ms (2.1%)

Pruning

18 alts after pruning (4 fresh and 14 done)

	Pruned	Kept	Total
New	588	2	590
Fresh	0	2	2
Picked	1	4	5
Done	0	10	10
Total	589	18	607

Accuracy

100.0%

Counts

607 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (cos.f64 im) (E.f64))) (E.f64))
✓	99.9%	(/.f64 (*.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (cos.f64 im)) (E.f64))
	6.8%	(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓	28.8%	(+.f64 re #s(literal 1 binary64))
✓	40.4%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
✓	38.4%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	28.7%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
✓	64.1%	(.f64 (/.f64 (+.f64 (E.f64) (.f64 re (+.f64 (E.f64) (.f64 (.f64 (E.f64) re) #s(literal 1/2 binary64))))) (E.f64)) (cos.f64 im))
✓	52.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	64.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	52.4%	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	28.7%	(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
✓	3.8%	(*.f64 re (cos.f64 im))
✓	72.1%	(exp.f64 re)
✓	51.4%	(cos.f64 im)
✓	3.5%	re
✓	28.2%	#s(literal 1 binary64)

Compiler

Compiled 329 to 178 computations (45.9% saved)

regimes35.0ms (0.5%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	re
7.0ms	im
7.0ms	(cos.f64 im)
7.0ms	(exp.f64 re)
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

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)

regimes26.0ms (0.4%)

Counts

19 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.4%	4	`re`
83.4%	2	`im`
95.7%	3	`(exp.f64 re)`
86.3%	2	`(cos.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (0.1%)

Counts

17 → 4

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

re

Results

Accuracy	Segments	Branch
97.7%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.2%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	re
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
95.6%	3	`(exp.f64 re)`
95.6%	3	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes128.0ms (1.9%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

124.0ms	re
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
95.0%	3	`re`
95.0%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.2%	2	`im`
59.2%	2	`(cos.f64 im)`
63.4%	2	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
40.4%	1	`im`
40.4%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
38.4%	1	`im`
38.4%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
30.6%	2	`im`
31.0%	2	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
28.8%	1	`im`
28.8%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -16.3b remaining (-35.4%)

Threshold costs -16.3b (-35.4%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
28.2%	1	`im`
28.2%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch51.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	9.748823784770366e+102	2.4407436388086156e+108
19.0ms	1.4415300532624803e-9	4.5419492823169914e-5
16.0ms	-0.05424691379929491	-4.800058932392159e-7

Results

27.0ms

416×

valid

Compiler

Compiled 568 to 426 computations (25% saved)

Precisions

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

ival-cos: 9.0ms (55.5% of total)

ival-exp: 3.0ms (18.5% of total)

ival-mult: 3.0ms (18.5% of total)

const: 0.0ms (0% of total)

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

bsearch114.0ms (1.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	1.1991730026142775e+152	3.242604627405149e+159
14.0ms	1.4415300532624803e-9	4.5419492823169914e-5
82.0ms	-0.05424691379929491	-4.800058932392159e-7

Results

97.0ms

416×

valid

Compiler

Compiled 532 to 399 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 71.0ms (83.5% of total)

ival-cos: 10.0ms (11.8% of total)

ival-exp: 3.0ms (3.5% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.4415300532624803e-9	4.5419492823169914e-5
19.0ms	-0.05424691379929491	-4.800058932392159e-7

Results

23.0ms

272×

valid

Compiler

Compiled 250 to 196 computations (21.6% saved)

Precisions

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

ival-mult: 7.0ms (45.7% of total)

ival-cos: 6.0ms (39.2% of total)

ival-exp: 3.0ms (19.6% of total)

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.00000000144153	1.000045420524304
0.0ms	0.999999703355573	0.999999967069914

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.4415300532624803e-9	4.5419492823169914e-5

Results

9.0ms

128×

valid

Compiler

Compiled 180 to 137 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 3.0ms (50.7% of total)

ival-mult: 2.0ms (33.8% of total)

ival-exp: 1.0ms (16.9% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.2355292186728836e+20	3.0046393616783116e+26

Results

10.0ms

144×

valid

Compiler

Compiled 156 to 126 computations (19.2% saved)

Precisions

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

ival-cos: 3.0ms (60.9% of total)

ival-exp: 1.0ms (20.3% of total)

ival-mult: 1.0ms (20.3% of total)

const: 0.0ms (0% of total)

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	597
1	100	596
2	103	596
3	105	592
4	106	592
5	107	592

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -4438747792736361/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 6640827866535439/147573952589676412928 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -7493989779944505/1152921504606846976 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 6640827866535439/147573952589676412928 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -8854437155380585/295147905179352825856 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 6640827866535439/147573952589676412928 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 9007197453301141/9007199254740992 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 4503689699363043/4503599627370496 binary64)) (cos.f64 im) (exp.f64 re)))
(if (<=.f64 re #s(literal 8028023020878397/9444732965739290427392 binary64)) (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal 125000000000000000000 binary64)) (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -4438747792736361/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 6640827866535439/147573952589676412928 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -4438747792736361/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 6640827866535439/147573952589676412928 binary64)) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))))
(if (<=.f64 re #s(literal -7493989779944505/1152921504606846976 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 6640827866535439/147573952589676412928 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (exp.f64 re) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -7493989779944505/1152921504606846976 binary64)) (exp.f64 re) (if (or (<=.f64 re #s(literal 6640827866535439/147573952589676412928 binary64)) (not (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)))) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))) (exp.f64 re)))
(if (or (<=.f64 re #s(literal -7493989779944505/1152921504606846976 binary64)) (not (or (<=.f64 re #s(literal 6640827866535439/147573952589676412928 binary64)) (not (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)))))) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))))
(if (or (<=.f64 re #s(literal -7493989779944505/1152921504606846976 binary64)) (and (not (<=.f64 re #s(literal 6640827866535439/147573952589676412928 binary64))) (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)))) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))))
(if (<=.f64 re #s(literal -8854437155380585/295147905179352825856 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 6640827866535439/147573952589676412928 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (or (<=.f64 re #s(literal -8854437155380585/295147905179352825856 binary64)) (not (<=.f64 re #s(literal 6640827866535439/147573952589676412928 binary64)))) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 re) #s(literal 9007197453301141/9007199254740992 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 4503689699363043/4503599627370496 binary64)) (cos.f64 im) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 9007197453301141/9007199254740992 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 4503689699363043/4503599627370496 binary64)))) (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal 8028023020878397/9444732965739290427392 binary64)) (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal 125000000000000000000 binary64)) (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

soundness491.0ms (7.5%)

Rules

697×	`log1p-expm1-u`
571×	`distribute-lft-in`
500×	`distribute-rgt-in`
380×	`fmm-def`
322×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	310	3260
1	582	3109
2	1858	3068
3	5320	3051
0	30	319
1	473	279
2	7093	279

Stop Event

1×	fuel
1×	node limit
1×	node limit

Compiler

Compiled 268 to 119 computations (55.6% saved)

preprocess71.0ms (1.1%)

Remove: (abs im)
Compiler: Compiled 394 to 160 computations (59.4% 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%)

sample1.1s (16.8%)

preprocess96.0ms (1.5%)

explain53.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize175.0ms (2.7%)

series4.0ms (0.1%)

rewrite195.0ms (3%)

simplify140.0ms (2.1%)

eval42.0ms (0.6%)

prune32.0ms (0.5%)

localize207.0ms (3.1%)

series22.0ms (0.3%)

rewrite288.0ms (4.4%)

simplify310.0ms (4.7%)

eval159.0ms (2.4%)

prune270.0ms (4.1%)

localize190.0ms (2.9%)

series10.0ms (0.2%)

rewrite426.0ms (6.5%)

simplify184.0ms (2.8%)

eval222.0ms (3.4%)

prune95.0ms (1.4%)

localize417.0ms (6.3%)

series20.0ms (0.3%)

rewrite231.0ms (3.5%)

simplify339.0ms (5.2%)

eval153.0ms (2.3%)

prune137.0ms (2.1%)

regimes35.0ms (0.5%)

regimes26.0ms (0.4%)

regimes8.0ms (0.1%)

regimes10.0ms (0.2%)

regimes128.0ms (1.9%)

regimes11.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch51.0ms (0.8%)

bsearch114.0ms (1.7%)

bsearch34.0ms (0.5%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

bsearch15.0ms (0.2%)

simplify14.0ms (0.2%)

soundness491.0ms (7.5%)

preprocess71.0ms (1.1%)

end0.0ms (0%)

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