Metrics for math.exp on complex, imaginary 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-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

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

sample1.6s (17.8%)

Results

1.3s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 858.0ms

ival-sin: 670.0ms (78% of total)

ival-exp: 112.0ms (13% of total)

ival-mult: 66.0ms (7.7% of total)

const: 8.0ms (0.9% of total)

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

Bogosity

preprocess61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

73×	`fma-define`
39×	`fma-neg`
30×	`associate-r`
26×	`unsub-neg`
24×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	163
1	46	161
2	86	155
3	157	155
4	314	155
5	527	155
6	563	155
7	577	155
8	585	155
9	585	155

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs im)

explain62.0ms (0.7%)

FPErrors

Click to see full error table

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

Results

41.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sin: 13.0ms (61% of total)

ival-exp: 4.0ms (18.8% of total)

ival-mult: 4.0ms (18.8% 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) (sin.f64 im))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize43.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

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

Results

28.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 15.0ms (79.8% of total)

ival-exp: 2.0ms (10.6% of total)

ival-mult: 2.0ms (10.6% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

3 → 16

Calls

Call 1

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

Outputs
#<alt (sin.f64 im)>
#<alt (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))>
#<alt (+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))>
#<alt (+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (.f64 im (+.f64 (exp.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))>
#<alt (.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))>
#<alt (.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/120 binary64) (exp.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 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 im (+.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 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>

Calls

12 calls:

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

rewrite293.0ms (3.3%)

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) (sin.f64 im))
(exp.f64 re)
(sin.f64 im)

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

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

629×	`distribute-lft-in`
554×	`distribute-rgt-in`
384×	`fma-neg`
330×	`*-commutative`
322×	`prod-exp`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	316	3144
1	629	2843
2	2029	2794
3	5620	2777

Stop Event

1×	node limit

Counts

117 → 167

Calls

Call 1

Inputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))
(*.f64 im (exp.f64 re))
(.f64 im (+.f64 (exp.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/120 binary64) (exp.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 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 im (+.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 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 re) (sin.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (+.f64 re (log.f64 (sin.f64 im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im))))) (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 re (log.f64 (sin.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)))
(+.f64 #s(literal 0 binary64) (sin.f64 im))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (+.f64 #s(literal 1 binary64) im)) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 #s(literal 1 binary64) im)) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 im) #s(literal 1 binary64))
(*.f64 (sin.f64 im) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (sin.f64 im))
(*.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 im)))
(*.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (sin.f64 im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sin.f64 im))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 im) (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (sin.f64 im))))
(pow.f64 (sin.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sin.f64 im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sin.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 im)))) (sqrt.f64 (log.f64 (sin.f64 im))))
(sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 im)))
(cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 im)))
(log1p.f64 (expm1.f64 (sin.f64 im)))
(exp.f64 (log.f64 (sin.f64 im)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 im))) #s(literal 2 binary64)))

Outputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 (*.f64 (sin.f64 im) re) #s(literal 1/2 binary64)))))
(fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 im) re) (.f64 (sin.f64 im) #s(literal 1/2 binary64)))))))
(fma.f64 re (fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im)) (sin.f64 im))
(fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 im (exp.f64 re))
(.f64 im (+.f64 (exp.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
(.f64 im (+.f64 (exp.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 im (.f64 (exp.f64 re) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (exp.f64 re) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (.f64 (.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (exp.f64 re)))
(.f64 im (.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/120 binary64) (exp.f64 re))))))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (exp.f64 re) #s(literal 1/120 binary64))))))))
(.f64 im (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 -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (exp.f64 re) #s(literal -1/6 binary64))) (exp.f64 re)))
(.f64 im (+.f64 (.f64 (exp.f64 re) (fma.f64 #s(literal -1/6 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 -1/5040 binary64) #s(literal 1/120 binary64))) (pow.f64 im #s(literal 4 binary64)))))
(.f64 im (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 -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (exp.f64 re)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 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))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 im (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(+.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))
(.f64 im (+.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 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 im (+.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 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(*.f64 im (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 -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(+.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 re) (sin.f64 im)))
(*.f64 (sin.f64 im) (exp.f64 re))
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(*.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)))))
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(.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))))
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(pow.f64 (sqrt.f64 (exp.f64 re)) #s(literal 2 binary64))
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(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)))
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(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)))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))))
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(-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64))
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(-.f64 (.f64 (sin.f64 (+.f64 #s(literal 1 binary64) im)) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 #s(literal 1 binary64) im)) (sin.f64 #s(literal 1 binary64))))
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(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
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(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 im) (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sin.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 im)))) (sqrt.f64 (log.f64 (sin.f64 im))))
(sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))
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(cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))
(sin.f64 im)
(expm1.f64 (log1p.f64 (sin.f64 im)))
(sin.f64 im)
(log1p.f64 (expm1.f64 (sin.f64 im)))
(sin.f64 im)
(exp.f64 (log.f64 (sin.f64 im)))
(sin.f64 im)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)))
(sin.f64 im)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 im))) #s(literal 1/3 binary64)))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 im))) #s(literal 2 binary64)))
(sin.f64 im)

eval27.0ms (0.3%)

Compiler: Compiled 2034 to 583 computations (71.3% saved)

prune30.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	159	8	167
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	9	168

Accuracy

100.0%

Counts

168 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.7%	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 2 binary64))
	48.2%	(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
▶	48.2%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
▶	65.0%	(.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))))))) (sin.f64 im))
	59.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
	70.3%	(*.f64 (exp.f64 re) im)
▶	47.6%	(sin.f64 im)
▶	71.3%	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

Compiler

Compiled 161 to 115 computations (28.6% saved)

localize358.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(log.f64 (sin.f64 im))
✓	cost-diff	0	(+.f64 re (log.f64 (sin.f64 im)))
✓	cost-diff	6400	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
✓	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	(sin.f64 im)
✓	cost-diff	0	(*.f64 re #s(literal 1/6 binary64))
	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	cost-diff	0	(sin.f64 im)
	cost-diff	0	(sin.f64 im)
	cost-diff	0	(exp.f64 re)
✓	cost-diff	0	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 2 binary64))
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	100.0%	(+.f64 re (log.f64 (sin.f64 im)))
✓	accuracy	99.3%	(log.f64 (sin.f64 im))
✓	accuracy	97.9%	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
✓	accuracy	100.0%	(.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	99.7%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	95.2%	(.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))))))) (sin.f64 im))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	accuracy	100.0%	(sin.f64 im)
	accuracy	100.0%	(exp.f64 re)
	accuracy	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	accuracy	99.7%	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 2 binary64))
✓	accuracy	99.6%	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

Rules

903×	`fma-define`
197×	`distribute-lft-in`
171×	`distribute-rgt-in`
161×	`associate-r`
120×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	500
1	60	422
2	131	422
3	296	422
4	627	422
5	1330	422
6	2038	422
7	2062	422

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 2 binary64))
(*.f64 (exp.f64 re) (sin.f64 im))
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(*.f64 (exp.f64 re) (sin.f64 im))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 2 binary64))
(exp.f64 re)
re
(sin.f64 im)
im
#s(literal 2 binary64)
(sin.f64 im)
im
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
(sin.f64 im)
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))))))) (sin.f64 im))
(.f64 (sin.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 (sin.f64 im) (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 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)
(sin.f64 im)
im
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 2 binary64))
(*.f64 (exp.f64 re) (sin.f64 im))
(+.f64 re (log.f64 (sin.f64 im)))
re
(log.f64 (sin.f64 im))
(sin.f64 im)
im

Results

116.0ms	188×	0	valid
165.0ms	68×	0	invalid

Compiler

Compiled 135 to 24 computations (82.2% saved)

Precisions

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

ival-pow: 58.0ms (53.5% of total)

ival-exp: 13.0ms (12% of total)

ival-add: 11.0ms (10.1% of total)

ival-mult: 10.0ms (9.2% of total)

ival-sin: 10.0ms (9.2% of total)

ival-log: 3.0ms (2.8% of total)

ival-sqrt: 2.0ms (1.8% of total)

const: 1.0ms (0.9% of total)

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

series92.0ms (1%)

Counts

12 → 169

Calls

Call 1

Inputs
#<alt (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))>
#<alt (pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 2 binary64))>
#<alt (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.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 (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (sin.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 (exp.f64 (+.f64 re (log.f64 (sin.f64 im))))>
#<alt (log.f64 (sin.f64 im))>
#<alt (+.f64 re (log.f64 (sin.f64 im)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))>

Outputs
#<alt (sqrt.f64 (sin.f64 im))>
#<alt (+.f64 (sqrt.f64 (sin.f64 im)) (.f64 #s(literal 1/2 binary64) (.f64 re (sqrt.f64 (sin.f64 im)))))>
#<alt (+.f64 (sqrt.f64 (sin.f64 im)) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (sin.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (*.f64 #s(literal 1/4 binary64) (sin.f64 im)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im))))))))>
#<alt (+.f64 (sqrt.f64 (sin.f64 im)) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (sin.f64 im))) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im))) (-.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (.f64 #s(literal 1/4 binary64) (sin.f64 im))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re (-.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 im)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (.f64 #s(literal 1/4 binary64) (sin.f64 im)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im))))))))))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (+.f64 (sqrt.f64 (.f64 im (exp.f64 re))) (.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (exp.f64 re)))))>
#<alt (+.f64 (sqrt.f64 (.f64 im (exp.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im))) (.f64 #s(literal 1/240 binary64) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (exp.f64 re)))))))>
#<alt (+.f64 (sqrt.f64 (.f64 im (exp.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/288 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im))) (.f64 #s(literal 1/240 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im))))))))>
#<alt (sin.f64 im)>
#<alt (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))>
#<alt (+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))>
#<alt (+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (.f64 im (+.f64 (exp.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))>
#<alt (.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))>
#<alt (.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/120 binary64) (exp.f64 re))))))))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>
#<alt (sin.f64 im)>
#<alt (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))>
#<alt (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))>
#<alt (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))>
#<alt (*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))>
#<alt (*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) re))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) re)))))))))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.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 (sin.f64 im)>
#<alt (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))>
#<alt (+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))>
#<alt (+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (sin.f64 im)))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 im) re))))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 im) re)) (/.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 im) re)) (+.f64 (/.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64))) (/.f64 (sin.f64 im) (pow.f64 re #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (sin.f64 im)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 im) re)) (.f64 #s(literal -1/6 binary64) (sin.f64 im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (/.f64 (sin.f64 im) re)) re)) (*.f64 #s(literal -1/6 binary64) (sin.f64 im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re))) re)) (.f64 #s(literal 1/2 binary64) (sin.f64 im))) re)) (.f64 #s(literal -1/6 binary64) (sin.f64 im)))))>
#<alt (.f64 im (+.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)))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 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 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #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 #s(literal 1/6 binary64) re))))))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 im #s(literal 2 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)))))))))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #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 #s(literal 1/6 binary64) re))))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 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 1/120 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))))))))))))))>
#<alt (.f64 (sin.f64 im) (+.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)))))))>
#<alt (.f64 (sin.f64 im) (+.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)))))))>
#<alt (.f64 (sin.f64 im) (+.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)))))))>
#<alt (.f64 (sin.f64 im) (+.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)))))))>
#<alt (.f64 (sin.f64 im) (+.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)))))))>
#<alt (.f64 (sin.f64 im) (+.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)))))))>
#<alt (.f64 (sin.f64 im) (+.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)))))))>
#<alt (.f64 (sin.f64 im) (+.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)))))))>
#<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 (sin.f64 im)>
#<alt (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))>
#<alt (+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))>
#<alt (+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))>
#<alt (exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 #s(literal -1 binary64) re)))>
#<alt (exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 #s(literal -1 binary64) re)))>
#<alt (exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 #s(literal -1 binary64) re)))>
#<alt (exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 #s(literal -1 binary64) re)))>
#<alt (exp.f64 (+.f64 re (log.f64 im)))>
#<alt (+.f64 (exp.f64 (+.f64 re (log.f64 im))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (+.f64 re (log.f64 im))))))>
#<alt (+.f64 (exp.f64 (+.f64 re (log.f64 im))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 (+.f64 re (log.f64 im)))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (+.f64 re (log.f64 im))))))))>
#<alt (+.f64 (exp.f64 (+.f64 re (log.f64 im))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 (+.f64 re (log.f64 im)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (+.f64 re (log.f64 im))))) (.f64 #s(literal 1/120 binary64) (exp.f64 (+.f64 re (log.f64 im)))))))))>
#<alt (log.f64 im)>
#<alt (+.f64 (log.f64 im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 im) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/180 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))>
#<alt (+.f64 (log.f64 im) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2835 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/180 binary64))) #s(literal 1/6 binary64))))>
#<alt (log.f64 (sin.f64 im))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sin.f64 im)) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sin.f64 im)) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sin.f64 im)) re)))>
#<alt re>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sin.f64 im)) re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sin.f64 im)) re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sin.f64 im)) re)) #s(literal 1 binary64))))>
#<alt (+.f64 re (log.f64 im))>
#<alt (+.f64 re (+.f64 (log.f64 im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 re (+.f64 (log.f64 im) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/180 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (+.f64 re (+.f64 (log.f64 im) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2835 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/180 binary64))) #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))))>

Calls

54 calls:

Time	Variable		Point	Expression
31.0ms	im	@	inf	(exp (+ re (log (sin im))))
27.0ms	im	@	-inf	(exp (+ re (log (sin im))))
5.0ms	re	@	0	(+ re (log (sin im)))
2.0ms	im	@	0	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (sin im))
1.0ms	im	@	0	(sqrt (* (exp re) (sin im)))

rewrite219.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`log1p-expm1-u`
187×	`expm1-log1p-u`
185×	`add-exp-log`
184×	`add-log-exp`
182×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	283
1	450	255
2	5830	255

Stop Event

1×	node limit

Counts

12 → 325

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 2 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(+.f64 re #s(literal 1 binary64))
(.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))))))) (sin.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))))))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(log.f64 (sin.f64 im))
(+.f64 re (log.f64 (sin.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))

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

simplify388.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

640×	`associate-r`
564×	`associate-l`
526×	`fma-neg`
502×	`fma-define`
357×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	861	16356
1	2162	15461
2	7619	15448

Stop Event

1×	node limit

Counts

494 → 516

Calls

Call 1

Inputs
(sqrt.f64 (sin.f64 im))
(+.f64 (sqrt.f64 (sin.f64 im)) (.f64 #s(literal 1/2 binary64) (.f64 re (sqrt.f64 (sin.f64 im)))))
(+.f64 (sqrt.f64 (sin.f64 im)) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (sin.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (*.f64 #s(literal 1/4 binary64) (sin.f64 im)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im))))))))
(+.f64 (sqrt.f64 (sin.f64 im)) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (sin.f64 im))) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im))) (-.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (.f64 #s(literal 1/4 binary64) (sin.f64 im))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re (-.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 im)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (.f64 #s(literal 1/4 binary64) (sin.f64 im)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im))))))))))
(sqrt.f64 (*.f64 im (exp.f64 re)))
(+.f64 (sqrt.f64 (.f64 im (exp.f64 re))) (.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (exp.f64 re)))))
(+.f64 (sqrt.f64 (.f64 im (exp.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im))) (.f64 #s(literal 1/240 binary64) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (exp.f64 re)))))))
(+.f64 (sqrt.f64 (.f64 im (exp.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/288 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im))) (.f64 #s(literal 1/240 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im))))))))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 im (exp.f64 re))
(.f64 im (+.f64 (exp.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/120 binary64) (exp.f64 re))))))))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 re (sin.f64 im))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (sin.f64 im))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(*.f64 im (+.f64 #s(literal 1 binary64) re))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) re)))))))))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.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)))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (sin.f64 im)))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 im) re))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 im) re)) (/.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 im) re)) (+.f64 (/.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64))) (/.f64 (sin.f64 im) (pow.f64 re #s(literal 3 binary64)))))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (sin.f64 im)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 im) re)) (.f64 #s(literal -1/6 binary64) (sin.f64 im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (/.f64 (sin.f64 im) re)) re)) (*.f64 #s(literal -1/6 binary64) (sin.f64 im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re))) re)) (.f64 #s(literal 1/2 binary64) (sin.f64 im))) re)) (.f64 #s(literal -1/6 binary64) (sin.f64 im)))))
(.f64 im (+.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 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 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 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #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 #s(literal 1/6 binary64) re))))))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 im #s(literal 2 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 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #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 #s(literal 1/6 binary64) re))))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 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 1/120 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 (sin.f64 im) (+.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 (sin.f64 im) (+.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 (sin.f64 im) (+.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 (sin.f64 im) (+.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 (sin.f64 im) (+.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 (sin.f64 im) (+.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 (sin.f64 im) (+.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 (sin.f64 im) (+.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 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))
(.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))))
(.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))))
(.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))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))
(.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))))
(.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))))
(.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))))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))
(.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 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))
(.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))))
(.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))))))
(.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))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))
(.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))))
(.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))))
(.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))))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (+.f64 re (log.f64 im)))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (+.f64 re (log.f64 im))))))
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(*.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(*.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re re (.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (sin.f64 im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (log.f64 (sin.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re))) (+.f64 (pow.f64 (log.f64 (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (log.f64 (sin.f64 im))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (sin.f64 im)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 re (log.f64 (sin.f64 im))))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (sin.f64 im)) #s(literal 2 binary64))) (-.f64 re (log.f64 (sin.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (sin.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 re (log.f64 (sin.f64 im)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (log.f64 (sin.f64 im)) re))
(pow.f64 (+.f64 re (log.f64 (sin.f64 im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re (log.f64 (sin.f64 im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re (log.f64 (sin.f64 im))) #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re (log.f64 (sin.f64 im))))))
(cbrt.f64 (pow.f64 (+.f64 re (log.f64 (sin.f64 im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(log1p.f64 (expm1.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(exp.f64 (log.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re (log.f64 (sin.f64 im)))
(fma.f64 #s(literal 1 binary64) (log.f64 (sin.f64 im)) re)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sin.f64 im))) re)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (log.f64 (sin.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (sin.f64 im))) (sqrt.f64 (log.f64 (sin.f64 im))) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (log.f64 (sin.f64 im)))
(-.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 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 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 binary64) (*.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 (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))

Outputs
(sqrt.f64 (sin.f64 im))
(+.f64 (sqrt.f64 (sin.f64 im)) (.f64 #s(literal 1/2 binary64) (.f64 re (sqrt.f64 (sin.f64 im)))))
(+.f64 (sqrt.f64 (sin.f64 im)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sin.f64 im)) re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sqrt.f64 (sin.f64 im)))
(+.f64 (sqrt.f64 (sin.f64 im)) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (sin.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (*.f64 #s(literal 1/4 binary64) (sin.f64 im)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im))))))))
(+.f64 (sqrt.f64 (sin.f64 im)) (.f64 re (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (sin.f64 im)) (.f64 (.f64 re (*.f64 (sin.f64 im) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im))))))))
(fma.f64 re (fma.f64 (.f64 (.f64 (sin.f64 im) #s(literal 1/8 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im))) (*.f64 (sqrt.f64 (sin.f64 im)) #s(literal 1/2 binary64))) (sqrt.f64 (sin.f64 im)))
(+.f64 (sqrt.f64 (sin.f64 im)) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (sin.f64 im))) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im))) (-.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (.f64 #s(literal 1/4 binary64) (sin.f64 im))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re (-.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 im)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (.f64 #s(literal 1/4 binary64) (sin.f64 im)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im))))))))))
(+.f64 (sqrt.f64 (sin.f64 im)) (.f64 re (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (sin.f64 im)) (.f64 re (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 (sin.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im)))) (.f64 re (.f64 (+.f64 (.f64 (sin.f64 im) #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 im) #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im)))))))))))
(+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sqrt.f64 (sin.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 im))) (+.f64 (.f64 (sin.f64 im) #s(literal 1/4 binary64)) (.f64 re (fma.f64 (sin.f64 im) #s(literal 1/6 binary64) (*.f64 #s(literal -1/8 binary64) (sin.f64 im))))))) (pow.f64 re #s(literal 2 binary64))))
(sqrt.f64 (*.f64 im (exp.f64 re)))
(+.f64 (sqrt.f64 (.f64 im (exp.f64 re))) (.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (exp.f64 re)))))
(+.f64 (sqrt.f64 (.f64 im (exp.f64 re))) (.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 (exp.f64 re) (pow.f64 im #s(literal 5 binary64))))))
(fma.f64 #s(literal -1/12 binary64) (sqrt.f64 (.f64 (exp.f64 re) (pow.f64 im #s(literal 5 binary64)))) (sqrt.f64 (.f64 im (exp.f64 re))))
(+.f64 (sqrt.f64 (.f64 im (exp.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im))) (.f64 #s(literal 1/240 binary64) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (exp.f64 re)))))))
(+.f64 (sqrt.f64 (.f64 im (exp.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im)) (.f64 #s(literal 1/240 binary64) (sqrt.f64 (.f64 (exp.f64 re) (pow.f64 im #s(literal 3 binary64))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im)) (.f64 #s(literal 1/240 binary64) (sqrt.f64 (.f64 (exp.f64 re) (pow.f64 im #s(literal 3 binary64)))))) (sqrt.f64 (*.f64 im (exp.f64 re))))
(+.f64 (sqrt.f64 (.f64 im (exp.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/288 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im))) (.f64 #s(literal 1/240 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im))))))))
(+.f64 (sqrt.f64 (.f64 im (exp.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 (exp.f64 re) im)) #s(literal 1/1440 binary64))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 (exp.f64 re) im)) (.f64 (sqrt.f64 (/.f64 (exp.f64 re) im)) (.f64 #s(literal 1/1440 binary64) (pow.f64 im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 im (exp.f64 re))))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 im) re)))))
(fma.f64 re (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) (sin.f64 im))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 im) re) (.f64 (sin.f64 im) #s(literal 1/2 binary64)))))))
(fma.f64 re (fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im)) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 im (exp.f64 re))
(.f64 im (+.f64 (exp.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
(.f64 im (+.f64 (exp.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 im (.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (exp.f64 re)))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) (exp.f64 re))))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64)))) (exp.f64 re)))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/120 binary64) (exp.f64 re))))))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (exp.f64 re) #s(literal 1/120 binary64))))))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 (exp.f64 re) #s(literal -1/6 binary64))) (exp.f64 re)))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re (log.f64 (sin.f64 im))))))
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(cbrt.f64 (pow.f64 (+.f64 re (log.f64 (sin.f64 im))) #s(literal 3 binary64)))
(+.f64 re (log.f64 (sin.f64 im)))
(expm1.f64 (log1p.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(log1p.f64 (expm1.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(+.f64 re (log.f64 (sin.f64 im)))
(exp.f64 (log.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(+.f64 re (log.f64 (sin.f64 im)))
(exp.f64 (*.f64 (log.f64 (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 1 binary64)))
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 #s(literal 1 binary64) re (log.f64 (sin.f64 im)))
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 #s(literal 1 binary64) (log.f64 (sin.f64 im)) re)
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sin.f64 im))) re)
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (log.f64 (sin.f64 im)))
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (sin.f64 im))) (sqrt.f64 (log.f64 (sin.f64 im))) re)
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (log.f64 (sin.f64 im)))
(+.f64 re (log.f64 (sin.f64 im)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 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 (-.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 re #s(literal -1/6 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/36 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.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))
(*.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)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 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))))
(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))))
(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 (fma.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 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))
(.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 (-.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 re #s(literal -1/6 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/36 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.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 (fma.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 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 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 #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 re #s(literal -1/6 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/36 binary64))) (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 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/12 binary64) re))))
(.f64 (fma.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 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))
(/.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 (fma.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 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))
(/.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 (-.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 re #s(literal -1/6 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/36 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.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 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (+.f64 #s(literal -1/4 binary64) (neg.f64 (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal -1/12 binary64) re)))))
(/.f64 (fma.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) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 re #s(literal -1/12 binary64))))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 re #s(literal -1/12 binary64)))))
(/.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 (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 re #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.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)))
(/.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 re #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.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))
(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 3 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 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))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(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)))))
(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)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 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))))
(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))))
(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 re #s(literal 1/6 binary64) #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 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 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 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))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))

eval329.0ms (3.7%)

Compiler: Compiled 14579 to 3067 computations (79% saved)

prune437.0ms (4.9%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	883	12	895
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	885	19	904

Accuracy

100.0%

Counts

904 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.0%	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) im)) #s(literal 2 binary64))
	48.2%	(+.f64 (*.f64 (sin.f64 im) re) (sin.f64 im))
	28.7%	(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
▶	38.2%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64)))
	29.6%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	48.2%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	27.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) im)
	38.0%	(.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))))))) (+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	65.0%	(.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))))))) (sin.f64 im))
	37.5%	(.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))))))) im)
	59.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
	48.0%	(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) (sin.f64 im))
▶	4.1%	(*.f64 (sin.f64 im) re)
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	70.3%	(*.f64 (exp.f64 re) im)
▶	29.6%	(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))))
✓	47.6%	(sin.f64 im)
✓	71.3%	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
▶	24.4%	im

Compiler

Compiled 359 to 255 computations (29% saved)

localize325.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
✓	cost-diff	256	(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (sin.f64 im))
	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64))
✓	cost-diff	256	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64)))
	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(*.f64 (sin.f64 im) re)
	cost-diff	0	(exp.f64 re)
✓	cost-diff	0	(*.f64 (exp.f64 re) im)
✓	accuracy	100.0%	(+.f64 re (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))))
✓	accuracy	99.6%	(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64))))
✓	accuracy	93.8%	(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64)))
✓	accuracy	99.3%	(+.f64 #s(literal 1 binary64) (sin.f64 im))
✓	accuracy	55.4%	(-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64))
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	99.8%	(*.f64 (sin.f64 im) re)
	accuracy	100.0%	(exp.f64 re)
✓	accuracy	100.0%	(*.f64 (exp.f64 re) im)

Rules

1037×	`fma-neg`
635×	`sub-neg`
583×	`associate-+r+`
403×	`associate--r+`
366×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	382
1	62	354
2	159	340
3	602	330
4	1642	330
5	3394	330
6	5403	330
7	7727	330

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 re) im)
(exp.f64 re)
re
im
im
(*.f64 (sin.f64 im) re)
(*.f64 re (sin.f64 im))
(sin.f64 im)
im
re
(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (sin.f64 im) #s(literal 1 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (sin.f64 im) #s(literal 0 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64))
(sin.f64 im)
(+.f64 #s(literal 1 binary64) (sin.f64 im))
(+.f64 (sin.f64 im) #s(literal 1 binary64))
(sin.f64 im)
im
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 im (.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 im (+.f64 re #s(literal 1 binary64))))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
im
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 re (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))
(+.f64 re (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))) re)
(fma.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) re)
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re)
re
(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 re #s(literal 1 binary64))

Results

38.0ms	139×	0	valid
157.0ms	117×	1	valid

Compiler

Compiled 114 to 20 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 18.0ms (31.6% of total)

ival-sin: 12.0ms (21.1% of total)

ival-add: 10.0ms (17.6% of total)

backward-pass: 7.0ms (12.3% of total)

ival-pow: 4.0ms (7% of total)

ival-exp: 3.0ms (5.3% of total)

ival-sub: 2.0ms (3.5% of total)

const: 1.0ms (1.8% of total)

series23.0ms (0.3%)

Counts

10 → 184

Calls

Call 1

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

Outputs
#<alt im>
#<alt (+.f64 im (*.f64 im re))>
#<alt (+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re)))))>
#<alt (+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im re)>
#<alt (.f64 im (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))>
#<alt (.f64 im (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) re) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))))>
#<alt (.f64 im (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/120 binary64) re)))))))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (sin.f64 im))>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 im (+.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 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) im)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))))>
#<alt (sin.f64 im)>
#<alt (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))>
#<alt (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))>
#<alt (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))>
#<alt (*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))>
#<alt (*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))>
#<alt (*.f64 re (sin.f64 im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) re))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) re)))))))))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (*.f64 re (+.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) re))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) re)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) re)))>
#<alt (.f64 re (+.f64 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) re)))>
#<alt (.f64 re (+.f64 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (.f64 re (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) re)) (.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) re)) (.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) re)) (.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt re>
#<alt (+.f64 re (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 re (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 re (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	re	@	inf	(* (pow im 2) (+ re 1))
1.0ms	im	@	0	(* (pow im 2) (+ re 1))
1.0ms	re	@	-inf	(* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ re 1))))))
1.0ms	im	@	inf	(* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ re 1))))))
0.0ms	im	@	0	(* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ re 1))))))

rewrite260.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1215×	`log1p-expm1-u`
326×	`expm1-log1p-u`
178×	`add-exp-log`
178×	`add-log-exp`
177×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	264
1	396	227
2	5863	227

Stop Event

1×	node limit

Counts

10 → 277

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 re) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (exp.f64 re) im))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) im)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) im)))
(exp.f64 (+.f64 re (log.f64 im)))
(exp.f64 (*.f64 (+.f64 re (log.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (sin.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 re (sin.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (sin.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (sin.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re (sin.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 re (sin.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 re) (sin.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (sin.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 re (sin.f64 im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sin.f64 im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re (sin.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 re (sin.f64 im))))
(exp.f64 (log.f64 (*.f64 re (sin.f64 im))))
(exp.f64 (.f64 (log.f64 (.f64 re (sin.f64 im))) #s(literal 1 binary64)))
(+.f64 (sin.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 (sin.f64 im) #s(literal 1 binary64)))
(+.f64 (+.f64 (sin.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 im))
(*.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 im)))
(*.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (sin.f64 im)))
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (sin.f64 im) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) #s(literal 2 binary64))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (sin.f64 im) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 im) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (sin.f64 im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (sin.f64 im) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (sin.f64 im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (sin.f64 im) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sin.f64 im) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (sin.f64 im) #s(literal -1 binary64)) (+.f64 (sin.f64 im) #s(literal -1 binary64))) (+.f64 (sin.f64 im) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 im) #s(literal -1 binary64)) (+.f64 (sin.f64 im) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) #s(literal -1 binary64))))
(pow.f64 (sin.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 im))))
(cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))
(sin.f64 im)
(expm1.f64 (log1p.f64 (sin.f64 im)))
(log1p.f64 (expm1.f64 (sin.f64 im)))
(exp.f64 (log.f64 (sin.f64 im)))
(exp.f64 (*.f64 (log.f64 (sin.f64 im)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (+.f64 (sin.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 im))) (/.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sin.f64 im))))
(*.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) #s(literal 1 binary64)))
(*.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) (.f64 (sqrt.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sin.f64 im) (+.f64 (sin.f64 im) #s(literal -1 binary64))))))
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(/.f64 (.f64 im (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re))))
(/.f64 (.f64 im (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re) #s(literal 3 binary64))) im) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re) #s(literal 2 binary64))) im) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(pow.f64 (.f64 im (.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 im (.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 im (.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 im (.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 im (.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 im (.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 im (.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 im (.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (.f64 im (.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))))
(exp.f64 (log.f64 (.f64 im (.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 im (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1 binary64) (.f64 im (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(fma.f64 #s(literal 1 binary64) im (.f64 im (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im) (.f64 im (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) (.f64 im (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(-.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 1/6 binary64) (.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64)))))) (/.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)) (+.f64 re (.f64 #s(literal 1/6 binary64) (.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re) #s(literal 1 binary64))
(.f64 (cbrt.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)) (sqrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re re (.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))) (-.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))) re)))))
(.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re re (.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))) (-.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))) re))) (+.f64 (.f64 (pow.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re (.f64 #s(literal 1/6 binary64) (.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re re (.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))) (-.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))) re))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 re (.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64))) (+.f64 re (.f64 #s(literal 1/6 binary64) (.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 re re (.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))) (-.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))) re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 re (.f64 #s(literal 1/6 binary64) (.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))) re))
(pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(exp.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))) re)
(fma.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/6 binary64) re)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))) re)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))) re)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.f64 im (hypot.f64 #s(literal 1 binary64) (sqrt.f64 re))) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (.f64 im (hypot.f64 #s(literal 1 binary64) (sqrt.f64 re))) (sqrt.f64 #s(literal -1/6 binary64))) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)
(-.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 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1 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)))

simplify309.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

640×	`fma-neg`
547×	`associate-r`
506×	`associate-l`
472×	`fma-define`
426×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	742	17086
1	1973	16007
2	7337	16007

Stop Event

1×	node limit

Counts

461 → 473

Calls

Call 1

Inputs
im
(+.f64 im (*.f64 im re))
(+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im re)
(.f64 im (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(.f64 im (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) re) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
(.f64 im (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/120 binary64) re)))))))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
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(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(exp.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))) re)
(fma.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/6 binary64) re)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))) re)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))) re)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.f64 im (hypot.f64 #s(literal 1 binary64) (sqrt.f64 re))) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (.f64 im (hypot.f64 #s(literal 1 binary64) (sqrt.f64 re))) (sqrt.f64 #s(literal -1/6 binary64))) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 re #s(literal 1 binary64)) re)
(-.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 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) im))
(.f64 (.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(.f64 (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))

Outputs
im
(+.f64 im (*.f64 im re))
(fma.f64 im re im)
(+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(fma.f64 re (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) im)
(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 im re) (.f64 im #s(literal 1/2 binary64)))))))
(fma.f64 re (fma.f64 re (fma.f64 im #s(literal 1/2 binary64) (.f64 im (.f64 re #s(literal 1/6 binary64)))) im) im)
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im re)
(.f64 im (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(.f64 im (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/6 binary64)))))
(.f64 re (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(.f64 im (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) re) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
(.f64 im (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) re (.f64 #s(literal 1/120 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64))))))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) re))
(.f64 im (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/120 binary64) re)))))))
(.f64 im (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64))) (*.f64 re #s(literal 1/120 binary64))))))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 re #s(literal -1/6 binary64))) re))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))
(.f64 im (+.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 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 im (+.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 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(+.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 im #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))))))
(fma.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 re (sin.f64 im))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (sin.f64 im))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(neg.f64 (.f64 re (.f64 #s(literal -1 binary64) (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))))
(*.f64 re (neg.f64 (-.f64 (neg.f64 (sin.f64 im)) (/.f64 (sin.f64 im) re))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(neg.f64 (.f64 re (.f64 #s(literal -1 binary64) (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))))
(*.f64 re (neg.f64 (-.f64 (neg.f64 (sin.f64 im)) (/.f64 (sin.f64 im) re))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(neg.f64 (.f64 re (.f64 #s(literal -1 binary64) (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))))
(*.f64 re (neg.f64 (-.f64 (neg.f64 (sin.f64 im)) (/.f64 (sin.f64 im) re))))
(*.f64 im (+.f64 #s(literal 1 binary64) re))
(+.f64 im (*.f64 im re))
(fma.f64 im re im)
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64))) re)))
(.f64 (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))) (+.f64 re #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) re)))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) re)))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 re #s(literal 1/120 binary64))))))))))
(.f64 im (+.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(pow.f64 im #s(literal 2 binary64))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 re (pow.f64 im #s(literal 2 binary64)))
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(pow.f64 im #s(literal 2 binary64))
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eval273.0ms (3.1%)

Compiler: Compiled 12240 to 2593 computations (78.8% saved)

prune239.0ms (2.7%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	720	10	730
Fresh	5	4	9
Picked	3	2	5
Done	0	5	5
Total	728	21	749

Accuracy

100.0%

Counts

749 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.0%	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) im)) #s(literal 2 binary64))
▶	31.2%	(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
▶	35.3%	(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
	27.8%	(+.f64 im (*.f64 im re))
	18.0%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 im #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	30.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
	38.1%	(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	48.2%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	27.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) im)
✓	65.0%	(.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))))))) (sin.f64 im))
	37.5%	(.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))))))) im)
	59.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
	34.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	70.3%	(*.f64 (exp.f64 re) im)
	29.6%	(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) (+.f64 re #s(literal 1 binary64)))))))
▶	7.2%	(*.f64 im re)
	17.5%	(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 re #s(literal 1 binary64))))
✓	47.6%	(sin.f64 im)
✓	71.3%	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
✓	24.4%	im

Compiler

Compiled 382 to 263 computations (31.2% saved)

localize228.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) im)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) im)
✓	cost-diff	0	(*.f64 im re)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 im re))
✓	cost-diff	-6272	(+.f64 im (.f64 (.f64 im #s(literal 1/2 binary64)) re))
✓	cost-diff	-6272	(.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re)))
✓	cost-diff	0	(*.f64 im #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (.f64 im #s(literal 1/2 binary64)) re)
	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	384	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 im re)
	cost-diff	-12864	(*.f64 (exp.f64 re) im)
	cost-diff	0	(exp.f64 re)
✓	cost-diff	0	(sqrt.f64 (*.f64 (exp.f64 re) im))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) im)) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) im))))
✓	accuracy	99.9%	(.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im)))))
✓	accuracy	99.9%	(.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) im)))
✓	accuracy	99.6%	(.f64 #s(literal 1/6 binary64) (.f64 im re))
✓	accuracy	100.0%	(*.f64 im #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
✓	accuracy	100.0%	(+.f64 im (.f64 (.f64 im #s(literal 1/2 binary64)) re))
✓	accuracy	99.9%	(.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 im re)
	accuracy	100.0%	(exp.f64 re)
	accuracy	100.0%	(*.f64 (exp.f64 re) im)
✓	accuracy	99.6%	(sqrt.f64 (*.f64 (exp.f64 re) im))
✓	accuracy	99.6%	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) im)) #s(literal 2 binary64))

Rules

930×	`fma-define`
134×	`associate-r`
119×	`associate-l`
94×	`distribute-lft-out`
54×	`distribute-rgt-out`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	33	571
1	76	519
2	161	494
3	320	465
4	575	465
5	1038	453
6	1280	450
7	1589	450
8	1804	450
9	1829	450
10	1830	450

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

67.0ms

256×

valid

Compiler

Compiled 162 to 27 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 16.0ms (46.3% of total)

ival-add: 9.0ms (26% of total)

ival-pow: 3.0ms (8.7% of total)

ival-exp: 2.0ms (5.8% of total)

ival-sqrt: 2.0ms (5.8% of total)

ival-sub: 1.0ms (2.9% of total)

const: 1.0ms (2.9% of total)

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

series40.0ms (0.5%)

Counts

15 → 233

Calls

Call 1

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

Outputs
#<alt im>
#<alt (+.f64 im (*.f64 im re))>
#<alt (+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re)))))>
#<alt (+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (*.f64 im (exp.f64 re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (*.f64 (exp.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (*.f64 (exp.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (*.f64 (exp.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (*.f64 (exp.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (sqrt.f64 im)>
#<alt (+.f64 (sqrt.f64 im) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) re)))>
#<alt (+.f64 (sqrt.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/4 binary64) im))))))))>
#<alt (+.f64 (sqrt.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (-.f64 (.f64 #s(literal 1/6 binary64) im) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 #s(literal 1/4 binary64) im))))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (-.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 #s(literal 1/4 binary64) im)))))))))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (sqrt.f64 (*.f64 im (exp.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 im (exp.f64 re))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 im (exp.f64 re))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 im (exp.f64 re))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 im (exp.f64 re))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt (*.f64 im re)>
#<alt (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re))))>
#<alt (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re))))>
#<alt (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.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) im) (/.f64 im re)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 im re)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 im re)))>
#<alt (.f64 #s(literal 1/2 binary64) (.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) im) (/.f64 im re)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 im re)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 im re)))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))>
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#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))>
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#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
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#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64))))>
#<alt im>
#<alt (+.f64 im (.f64 #s(literal 1/2 binary64) (.f64 im re)))>
#<alt (+.f64 im (.f64 #s(literal 1/2 binary64) (.f64 im re)))>
#<alt (+.f64 im (.f64 #s(literal 1/2 binary64) (.f64 im re)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 im re)))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 im re)))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 im re)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal -1/2 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal -1/2 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal -1/2 binary64) im))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.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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#<alt (.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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#<alt (.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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#<alt im>
#<alt (+.f64 im (*.f64 im re))>
#<alt (+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re)))))>
#<alt (+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.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) im) (/.f64 im re)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (+.f64 (/.f64 im re) (/.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) im) (+.f64 (/.f64 im re) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.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) im) (/.f64 im re)))>
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#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (*.f64 #s(literal 1/2 binary64) (/.f64 im re))))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (*.f64 #s(literal 1/2 binary64) (/.f64 im re))))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (*.f64 #s(literal 1/2 binary64) (/.f64 im re))))>
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#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (*.f64 #s(literal 1/2 binary64) (/.f64 im re))))>
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#<alt (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))>
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#<alt (*.f64 im re)>
#<alt (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (*.f64 #s(literal 1/2 binary64) (/.f64 im re))))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im re)) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im re)) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 im re)) (.f64 #s(literal -1/6 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 im re)) re)) (*.f64 #s(literal -1/6 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 im re)) re)) (*.f64 #s(literal -1/6 binary64) im))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))))>
#<alt (.f64 im (.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 binary64) (.f64 im (.f64 re (-.f64 (.f64 re (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (.f64 re (-.f64 (.f64 re (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (.f64 re (-.f64 (.f64 re (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (.f64 re (-.f64 (.f64 re (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))>
#<alt (.f64 im (+.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 binary64) (.f64 im (-.f64 (.f64 re (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (.f64 re (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (.f64 re (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (.f64 re (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 1 binary64))))>
#<alt im>
#<alt (+.f64 im (.f64 #s(literal 1/2 binary64) (.f64 im re)))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (*.f64 #s(literal 1/2 binary64) (/.f64 im re))))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im re)) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im re)) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (*.f64 #s(literal 1/2 binary64) (/.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) (/.f64 im re)) (.f64 #s(literal -1/2 binary64) im)) re)) (*.f64 #s(literal 1/6 binary64) im)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal -1/2 binary64) im)) re)) (*.f64 #s(literal 1/6 binary64) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im re))>

Calls

75 calls:

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

rewrite231.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`log1p-expm1-u`
229×	`associate-r`
201×	`expm1-log1p-u`
196×	`add-cube-cbrt`
195×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	366
1	492	342
2	6527	342

Stop Event

1×	node limit

Counts

15 → 318

Calls

Call 1

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

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

simplify272.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

776×	`fma-neg`
605×	`associate-r`
520×	`associate-l`
386×	`fma-define`
302×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	755	21261
1	1793	19193
2	6472	19181

Stop Event

1×	node limit

Counts

551 → 497

Calls

Call 1

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

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

eval187.0ms (2.1%)

Compiler: Compiled 11490 to 2528 computations (78% saved)

prune203.0ms (2.3%)

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	646	4	650
Fresh	2	7	9
Picked	2	3	5
Done	0	7	7
Total	650	21	671

Accuracy

100.0%

Counts

671 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.0%	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) im)) #s(literal 2 binary64))
	35.3%	(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 re (.f64 im #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) im))))))
✓	35.3%	(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
	30.9%	(+.f64 im (.f64 re (.f64 re (*.f64 im #s(literal 1/2 binary64)))))
	37.5%	(+.f64 im (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
	27.8%	(+.f64 im (*.f64 im re))
	38.1%	(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	48.2%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	27.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) im)
✓	65.0%	(.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))))))) (sin.f64 im))
	59.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
	34.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	70.3%	(*.f64 (exp.f64 re) im)
	29.6%	(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) (+.f64 re #s(literal 1 binary64)))))))
✓	7.2%	(*.f64 im re)
	17.5%	(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 re #s(literal 1 binary64))))
✓	47.6%	(sin.f64 im)
✓	71.3%	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
✓	24.4%	im
	30.9%	#s(literal 0 binary64)

Compiler

Compiled 538 to 254 computations (52.8% saved)

regimes56.0ms (0.6%)

Counts

35 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
im
(*.f64 im re)
(*.f64 (+.f64 re #s(literal 1 binary64)) im)
(+.f64 im (*.f64 im re))
(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 im #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 im (.f64 re (.f64 re (*.f64 im #s(literal 1/2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) (+.f64 re #s(literal 1 binary64)))))))
(.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))))))) im)
(+.f64 im (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 re (.f64 im #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) im))))))
(sin.f64 im)
(*.f64 (exp.f64 re) im)
(*.f64 (sin.f64 im) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 re #s(literal 1 binary64))))
(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) (sin.f64 im))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64)))
(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))))
(.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))))))) (sin.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))))))) (+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 (exp.f64 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (*.f64 (sin.f64 im) re) (sin.f64 im))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) im)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 2 binary64))

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

Calls

5 calls:

12.0ms	(sin.f64 im)
12.0ms	im
10.0ms	re
10.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
8.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes38.0ms (0.4%)

Counts

29 → 4

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
(.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))))))) (sin.f64 im))
(*.f64 (exp.f64 re) 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))))))) (sin.f64 im))

Calls

4 calls:

10.0ms	im
9.0ms	(sin.f64 im)
9.0ms	re
8.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
98.4%	4	`re`
82.1%	2	`im`
92.9%	2	`(exp.f64 re)`
82.0%	2	`(sin.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes11.0ms (0.1%)

Counts

27 → 4

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

re

Results

Accuracy	Segments	Branch
96.5%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes120.0ms (1.4%)

Counts

25 → 3

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(*.f64 (exp.f64 re) im)

Calls

2 calls:

112.0ms	re
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
93.6%	3	`(exp.f64 re)`
93.6%	3	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.1%)

Counts

18 → 3

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
(sin.f64 im)
(*.f64 (exp.f64 re) im)

Calls

2 calls:

6.0ms	re
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
92.9%	3	`re`
92.9%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes8.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
(sin.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))))))) im)

Calls

1 calls:

6.0ms

re

Results

Accuracy	Segments	Branch
88.1%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
(+.f64 im (.f64 im (.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:

7.0ms	im
5.0ms	re

Results

Accuracy	Segments	Branch
48.7%	2	`im`
65.4%	2	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
(.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))))))) im)

Calls

1 calls:

4.0ms

re

Results

Accuracy	Segments	Branch
65.4%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

re

Results

Accuracy	Segments	Branch
62.1%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

re

Results

Accuracy	Segments	Branch
58.9%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

7 → 2

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
(+.f64 im (*.f64 im re))

Calls

1 calls:

3.0ms

re

Results

Accuracy	Segments	Branch
55.6%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
im
(*.f64 im re)
(*.f64 (+.f64 re #s(literal 1 binary64)) im)

Outputs
#s(literal 0 binary64)
(*.f64 (+.f64 re #s(literal 1 binary64)) im)

Calls

1 calls:

2.0ms

re

Results

Accuracy	Segments	Branch
55.6%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
im
(*.f64 im re)

Outputs
#s(literal 0 binary64)
im
(*.f64 im re)

Calls

1 calls:

3.0ms

re

Results

Accuracy	Segments	Branch
55.4%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
im

Outputs
#s(literal 0 binary64)
im

Calls

1 calls:

2.0ms

re

Results

Accuracy	Segments	Branch
51.9%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
30.9%	1	`im`
30.9%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch62.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
28.0ms	3.6671898186789053e+102	3.7786045485626645e+103
15.0ms	1.1410515397124832e-8	8.763093637788081
16.0ms	-35.2590038832872	-0.00016586192948285958

Results

46.0ms

384×

valid

Compiler

Compiled 609 to 456 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-exp: 22.0ms (61.7% of total)

ival-sin: 10.0ms (28% of total)

ival-mult: 3.0ms (8.4% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	9.479026284389462e+151	1.0628667699019455e+153
14.0ms	1.1410515397124832e-8	8.763093637788081
14.0ms	-747.5266232549304	-35.2590038832872

Results

30.0ms

352×

valid

Compiler

Compiled 475 to 354 computations (25.5% saved)

Precisions

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

ival-sin: 14.0ms (68.8% of total)

ival-exp: 3.0ms (14.7% of total)

ival-mult: 3.0ms (14.7% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.1410515397124832e-8	8.763093637788081
18.0ms	-35.2590038832872	-0.00016586192948285958

Results

23.0ms

288×

valid

Compiler

Compiled 273 to 216 computations (20.9% saved)

Precisions

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

ival-sin: 7.0ms (58.2% of total)

ival-exp: 3.0ms (24.9% of total)

ival-mult: 2.0ms (16.6% 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	1.0000000114105154	6393.861303932368
0.0ms	0.0	4.866415380734922e-16

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.1410515397124832e-8	8.763093637788081
11.0ms	-747.5266232549304	-35.2590038832872

Results

21.0ms

256×

valid

Compiler

Compiled 282 to 218 computations (22.7% saved)

Precisions

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

ival-sin: 6.0ms (55.2% of total)

ival-exp: 3.0ms (27.6% of total)

ival-mult: 2.0ms (18.4% of total)

const: 0.0ms (0% of total)

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

bsearch127.0ms (1.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
126.0ms	-0.00016586192948285958	-2.6973322885621056e-9

Results

121.0ms

128×

valid

Compiler

Compiled 188 to 145 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 114.0ms (96.7% of total)

ival-sin: 3.0ms (2.5% of total)

ival-exp: 1.0ms (0.8% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-0.00016586192948285958	-2.6973322885621056e-9

Results

9.0ms

128×

valid

Compiler

Compiled 188 to 145 computations (22.9% saved)

Precisions

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

ival-sin: 3.0ms (57.7% of total)

ival-exp: 1.0ms (19.2% of total)

ival-mult: 1.0ms (19.2% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-0.00016586192948285958	-2.6973322885621056e-9

Results

14.0ms

128×

valid

Compiler

Compiled 156 to 121 computations (22.4% saved)

Precisions

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

ival-mult: 6.0ms (57.9% of total)

ival-sin: 3.0ms (29% of total)

ival-exp: 1.0ms (9.7% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-0.00016586192948285958	-2.6973322885621056e-9

Results

8.0ms

128×

valid

Compiler

Compiled 140 to 105 computations (25% saved)

Precisions

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

ival-sin: 3.0ms (58.4% of total)

ival-exp: 1.0ms (19.5% of total)

ival-mult: 1.0ms (19.5% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-0.00016586192948285958	-2.6973322885621056e-9

Results

9.0ms

128×

valid

Compiler

Compiled 108 to 81 computations (25% saved)

Precisions

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

ival-sin: 3.0ms (55.7% of total)

ival-exp: 1.0ms (18.6% of total)

ival-mult: 1.0ms (18.6% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-0.00016586192948285958	-2.6973322885621056e-9

Results

12.0ms

128×

valid

Compiler

Compiled 108 to 89 computations (17.6% saved)

Precisions

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

ival-mult: 4.0ms (49.5% of total)

ival-sin: 3.0ms (37.1% of total)

ival-exp: 1.0ms (12.4% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.0098398038070874e-9	1.1410515397124832e-8
14.0ms	-0.00016586192948285958	-2.6973322885621056e-9

Results

16.0ms

224×

valid

Compiler

Compiled 136 to 107 computations (21.3% saved)

Precisions

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

ival-sin: 6.0ms (58.8% of total)

ival-exp: 2.0ms (19.6% of total)

ival-mult: 2.0ms (19.6% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-0.00016586192948285958	-2.6973322885621056e-9

Results

11.0ms

128×

valid

Compiler

Compiled 76 to 65 computations (14.5% saved)

Precisions

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

ival-sin: 3.0ms (56% of total)

ival-exp: 1.0ms (18.7% of total)

ival-mult: 1.0ms (18.7% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	826
1	131	826

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -889460926405673/562949953421312 binary64)) #s(literal 0 binary64) (if (<=.f64 re #s(literal 6052837899185947/144115188075855872 binary64)) (.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))))))) (sin.f64 im)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 (exp.f64 re) 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))))))) (sin.f64 im)))))
(if (<=.f64 re #s(literal -90 binary64)) #s(literal 0 binary64) (if (<=.f64 re #s(literal 7926335344172073/144115188075855872 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (sin.f64 im)) (if (<=.f64 re #s(literal 1050000000000000083451894193183225223380418638772480878139616948604628707926215895366211738206236283543061889990792898121254712840699179674325774269153280 binary64)) (.f64 (exp.f64 re) im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im)))))
(if (<=.f64 re #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 re #s(literal 5902958103587057/18446744073709551616 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (.f64 (exp.f64 re) im)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (sin.f64 im) (*.f64 (exp.f64 re) im)))
(if (<=.f64 re #s(literal -88 binary64)) #s(literal 0 binary64) (if (<=.f64 re #s(literal 17/2 binary64)) (sin.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))))))) im)))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (+.f64 im (.f64 im (.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 -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (.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))))))) im))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (+.f64 im (.f64 re (.f64 re (*.f64 im #s(literal 1/2 binary64))))))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (+.f64 im (*.f64 im re)))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) im))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (if (<=.f64 re #s(literal 6769984589841923/604462909807314587353088 binary64)) im (*.f64 im re)))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) im)
#s(literal 0 binary64)

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -889460926405673/562949953421312 binary64)) #s(literal 0 binary64) (if (<=.f64 re #s(literal 6052837899185947/144115188075855872 binary64)) (.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))))))) (sin.f64 im)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 (exp.f64 re) 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))))))) (sin.f64 im)))))
(if (<=.f64 re #s(literal -889460926405673/562949953421312 binary64)) #s(literal 0 binary64) (if (or (<=.f64 re #s(literal 6052837899185947/144115188075855872 binary64)) (not (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)))) (.f64 (sin.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 (exp.f64 re) im)))
(if (<=.f64 re #s(literal -90 binary64)) #s(literal 0 binary64) (if (<=.f64 re #s(literal 7926335344172073/144115188075855872 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (sin.f64 im)) (if (<=.f64 re #s(literal 1050000000000000083451894193183225223380418638772480878139616948604628707926215895366211738206236283543061889990792898121254712840699179674325774269153280 binary64)) (.f64 (exp.f64 re) im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im)))))
(if (<=.f64 re #s(literal -90 binary64)) #s(literal 0 binary64) (if (or (<=.f64 re #s(literal 7926335344172073/144115188075855872 binary64)) (not (<=.f64 re #s(literal 1050000000000000083451894193183225223380418638772480878139616948604628707926215895366211738206236283543061889990792898121254712840699179674325774269153280 binary64)))) (.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))) (.f64 (exp.f64 re) im)))
(if (<=.f64 re #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 re #s(literal 5902958103587057/18446744073709551616 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (.f64 (exp.f64 re) im)))
(if (<=.f64 re #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 re #s(literal 5902958103587057/18446744073709551616 binary64)) (.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) (.f64 (exp.f64 re) im)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (sin.f64 im) (*.f64 (exp.f64 re) im)))
(if (<=.f64 re #s(literal -88 binary64)) #s(literal 0 binary64) (if (<=.f64 re #s(literal 17/2 binary64)) (sin.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))))))) im)))
(if (<=.f64 re #s(literal -88 binary64)) #s(literal 0 binary64) (if (<=.f64 re #s(literal 17/2 binary64)) (sin.f64 im) (.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 -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (+.f64 im (.f64 im (.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 -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (.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))))))) im))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (.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 -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (.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 -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (+.f64 im (.f64 re (.f64 re (*.f64 im #s(literal 1/2 binary64))))))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (+.f64 im (*.f64 im re)))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (+.f64 im (*.f64 re im)))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) im))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (*.f64 im (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (if (<=.f64 re #s(literal 6769984589841923/604462909807314587353088 binary64)) im (*.f64 im re)))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) (if (<=.f64 re #s(literal 6769984589841923/604462909807314587353088 binary64)) im (*.f64 re im)))
(if (<=.f64 re #s(literal -5902958103587057/36893488147419103232 binary64)) #s(literal 0 binary64) im)
#s(literal 0 binary64)

soundness1.2s (13%)

Rules

776×	`fma-neg`
640×	`fma-neg`
640×	`associate-r`
629×	`distribute-lft-in`
605×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	861	16356
1	2162	15461
2	7619	15448
0	742	17086
1	1973	16007
2	7337	16007
0	755	21261
1	1793	19193
2	6472	19181
0	11	37
1	101	37
2	1105	37
0	316	3144
1	629	2843
2	2029	2794
3	5620	2777

Stop Event

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

Compiler

Compiled 481 to 207 computations (57% saved)

preprocess387.0ms (4.4%)

Remove: (negabs im)
Compiler: Compiled 542 to 210 computations (61.3% saved)

Iter	Nodes	Cost
0	22	163
1	46	161
2	86	155
3	157	155
4	314	155
5	527	155
6	563	155
7	577	155
8	585	155
9	585	155

Iter	Nodes	Cost
0	22	163
1	46	161
2	86	155
3	157	155
4	314	155
5	527	155
6	563	155
7	577	155
8	585	155
9	585	155

analyze0.0ms (0%)

sample1.6s (17.8%)

preprocess61.0ms (0.7%)

explain62.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize43.0ms (0.5%)

series7.0ms (0.1%)

rewrite293.0ms (3.3%)

simplify98.0ms (1.1%)

eval27.0ms (0.3%)

prune30.0ms (0.3%)

localize358.0ms (4%)

series92.0ms (1%)

rewrite219.0ms (2.5%)

simplify388.0ms (4.4%)

eval329.0ms (3.7%)

prune437.0ms (4.9%)

localize325.0ms (3.7%)

series23.0ms (0.3%)

rewrite260.0ms (2.9%)

simplify309.0ms (3.5%)

eval273.0ms (3.1%)

prune239.0ms (2.7%)

localize228.0ms (2.6%)

series40.0ms (0.5%)

rewrite231.0ms (2.6%)

simplify272.0ms (3.1%)

eval187.0ms (2.1%)

prune203.0ms (2.3%)

regimes56.0ms (0.6%)

regimes38.0ms (0.4%)

regimes11.0ms (0.1%)

regimes120.0ms (1.4%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes13.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch62.0ms (0.7%)

bsearch44.0ms (0.5%)

bsearch40.0ms (0.4%)

bsearch0.0ms (0%)

bsearch31.0ms (0.4%)

bsearch127.0ms (1.4%)

bsearch14.0ms (0.2%)

bsearch19.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch14.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch25.0ms (0.3%)

bsearch16.0ms (0.2%)

simplify9.0ms (0.1%)

soundness1.2s (13%)

preprocess387.0ms (4.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	163
1	46	161
2	86	155
3	157	155
4	314	155
5	527	155
6	563	155
7	577	155
8	585	155
9	585	155