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)

sample1.2s (13.2%)

Results

962.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 565.0ms

ival-sin: 360.0ms (63.7% of total)

ival-mult: 117.0ms (20.7% of total)

ival-exp: 77.0ms (13.6% of total)

const: 8.0ms (1.4% of total)

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

Bogosity

preprocess62.0ms (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)

explain163.0ms (1.7%)

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

43.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-sin: 12.0ms (59.2% of total)

ival-exp: 4.0ms (19.7% of total)

ival-mult: 4.0ms (19.7% 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)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(sin.f64 im)
✓	cost-diff	(exp.f64 re)
✓	cost-diff	(*.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

localize92.0ms (1%)

Localize:

Found 3 expressions of interest:

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

Results

86.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-sin: 5.0ms (53.3% of total)

ival-exp: 2.0ms (21.3% of total)

ival-mult: 2.0ms (21.3% of total)

const: 0.0ms (0% of total)

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

series6.0ms (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	re	@	-inf	(* (exp re) (sin im))

rewrite361.0ms (3.9%)

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)))

simplify120.0ms (1.3%)

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

eval22.0ms (0.2%)

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

prune28.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	160	7	167
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	160	8	168

Accuracy

100.0%

Counts

168 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.2%	(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 (*.f64 (sin.f64 im) re) #s(literal 1/2 binary64)))))
	53.8%	(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
▶	53.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
▶	68.1%	(.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))
▶	65.1%	(.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))
▶	70.6%	(*.f64 (exp.f64 re) im)
▶	53.7%	(sin.f64 im)

Compiler

Compiled 157 to 105 computations (33.1% saved)

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	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	-6272	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
✓	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(*.f64 re #s(literal 1/2 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	(exp.f64 re)
✓	cost-diff	0	(*.f64 (exp.f64 re) im)

Rules

956×	`fma-define`
184×	`distribute-lft-in`
165×	`distribute-rgt-in`
154×	`associate-r`
119×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	485
1	63	413
2	148	413
3	358	413
4	740	413
5	1497	413
6	1979	413
7	1991	413

Stop Event

1×

saturated

Calls

Call 1

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

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

localize328.0ms (3.5%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	96.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im))
✓	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	100.0%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
✓	accuracy	91.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 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) im)

Results

174.0ms

256×

valid

Compiler

Compiled 141 to 23 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 122.0ms (85.9% of total)

ival-add: 7.0ms (4.9% of total)

ival-sin: 6.0ms (4.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (2.8% of total)

ival-exp: 2.0ms (1.4% of total)

const: 1.0ms (0.7% of total)

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

series33.0ms (0.4%)

Counts

12 → 192

Calls

Call 1

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

Calls

48 calls:

Time	Variable		Point	Expression
6.0ms	re	@	-inf	(* re 1/6)
1.0ms	re	@	inf	(* re (+ 1 (* re 1/2)))
1.0ms	im	@	inf	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (sin im))
1.0ms	im	@	0	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (sin im))
1.0ms	im	@	0	(* (exp re) im)

rewrite324.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`log1p-expm1-u`
217×	`associate-r`
213×	`expm1-log1p-u`
209×	`add-exp-log`
209×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	295
1	462	251
2	6725	251

Stop Event

1×	node limit

Counts

12 → 289

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) im)
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(+.f64 re #s(literal 1 binary64))
(*.f64 re #s(literal 1/2 binary64))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 re #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)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 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))))))) (sin.f64 im))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 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 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (*.f64 (sin.f64 im) re) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (sin.f64 im)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (sin.f64 im)) (+.f64 re #s(literal -1 binary64)))
(pow.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #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 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))))
(exp.f64 (+.f64 (log.f64 (sin.f64 im)) (log1p.f64 re)))
(exp.f64 (*.f64 (+.f64 (log.f64 (sin.f64 im)) (log1p.f64 re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 re #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 re)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(*.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re re #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) re)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
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simplify347.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

524×	`associate-r`
500×	`fma-neg`
466×	`associate-l`
463×	`fma-define`
396×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	792	15577
1	2079	14255
2	7208	14248

Stop Event

1×	node limit

Counts

481 → 493

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

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))
(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 (fma.f64 #s(literal -1 binary64) (sin.f64 im) (/.f64 (neg.f64 (sin.f64 im)) re))))
(.f64 re (.f64 #s(literal 1 binary64) (+.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 (fma.f64 #s(literal -1 binary64) (sin.f64 im) (/.f64 (neg.f64 (sin.f64 im)) re))))
(.f64 re (.f64 #s(literal 1 binary64) (+.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 (fma.f64 #s(literal -1 binary64) (sin.f64 im) (/.f64 (neg.f64 (sin.f64 im)) re))))
(.f64 re (.f64 #s(literal 1 binary64) (+.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) (+.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 (+.f64 re #s(literal 1 binary64)) (+.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 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 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 1/120 binary64)))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 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 #s(literal 1/120 binary64) re)))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) (+.f64 re #s(literal 1 binary64)))) re)))
(*.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))
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(*.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))
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(*.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)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
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(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) re)
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(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) re)
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) re)
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) re)
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) re)
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) re)
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) re)
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) re)
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
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(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) re)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
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(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
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(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
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(fma.f64 re #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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eval101.0ms (1.1%)

Compiler: Compiled 13074 to 2575 computations (80.3% saved)

prune124.0ms (1.3%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	755	13	768
Fresh	2	0	2
Picked	0	5	5
Done	0	1	1
Total	757	19	776

Accuracy

100.0%

Counts

776 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.5%	(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
	41.5%	(+.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))))))
	34.0%	(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
▶	70.6%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) im)
	40.4%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64)))
▶	34.6%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	53.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	33.1%	(*.f64 (+.f64 re #s(literal 1 binary64)) im)
	42.6%	(.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)))))
✓	68.1%	(.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))
	42.9%	(.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)
	41.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	65.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
	41.4%	(.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))
✓	70.6%	(*.f64 (exp.f64 re) im)
▶	4.3%	(*.f64 re (sin.f64 im))
✓	53.7%	(sin.f64 im)
▶	30.7%	im

Compiler

Compiled 385 to 271 computations (29.6% saved)

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	cost-diff	0	(pow.f64 im #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
	cost-diff	0	(+.f64 re #s(literal 1 binary64))
	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(*.f64 re (sin.f64 im))
✓	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	-128	(exp.f64 re)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 re))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64))
✓	cost-diff	256	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) im)

Rules

803×	`fma-define`
419×	`unsub-neg`
397×	`fma-neg`
371×	`distribute-neg-in`
349×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	390
1	67	348
2	167	330
3	417	321
4	1158	318
5	2203	318
6	3407	318
7	4927	318
8	6430	318

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) im)
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 re) #s(literal 1 binary64))) im)
(*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 re)) im)
(*.f64 (exp.f64 re) im)
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 re) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(exp.f64 re)
(+.f64 #s(literal 1 binary64) (exp.f64 re))
#s(literal 1 binary64)
(exp.f64 re)
(+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 re) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
re
im
im
(+.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 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #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 (.f64 re #s(literal 1/2 binary64)))
(*.f64 im #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 re (sin.f64 im))
re
(sin.f64 im)
im
(.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) re) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
re
#s(literal 1 binary64)
(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
im
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
#s(literal -1/6 binary64)
(pow.f64 im #s(literal 3 binary64))
#s(literal 3 binary64)

localize345.0ms (3.7%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
✓	accuracy	99.9%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	accuracy	99.8%	(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	99.8%	(*.f64 re (sin.f64 im))
✓	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%	(exp.f64 re)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 re))
✓	accuracy	100.0%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) im)
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64))

Results

276.0ms	195×	0	valid
22.0ms	40×	1	valid
19.0ms	21×	2	valid

Compiler

Compiled 107 to 23 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-exp: 167.0ms (76.6% of total)

ival-mult: 16.0ms (7.3% of total)

ival-add: 9.0ms (4.1% of total)

ival-sin: 8.0ms (3.7% of total)

...c/correct-round.rkt:119:19: 7.0ms (3.2% of total)

ival-pow: 6.0ms (2.8% of total)

backward-pass: 4.0ms (1.8% of total)

ival-sub: 2.0ms (0.9% of total)

const: 1.0ms (0.5% of total)

series31.0ms (0.3%)

Counts

13 → 188

Calls

Call 1

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

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	(* (* im 1/2) re)
1.0ms	re	@	0	(* (+ re 1) (+ im (* -1/6 (pow im 3))))
1.0ms	im	@	0	(* (* im 1/2) re)
1.0ms	re	@	inf	(* (* im 1/2) re)
1.0ms	im	@	inf	(* (+ re 1) (+ im (* -1/6 (pow im 3))))

rewrite227.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`log1p-expm1-u`
217×	`associate-r`
210×	`expm1-log1p-u`
209×	`add-cube-cbrt`
206×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	311
1	450	263
2	6896	263

Stop Event

1×	node limit

Counts

13 → 353

Calls

Call 1

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

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

simplify348.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

618×	`associate-r`
563×	`associate-l`
505×	`fma-define`
336×	`distribute-rgt-in`
333×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	870	19297
1	2121	17774

Stop Event

1×	node limit

Counts

541 → 542

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

eval95.0ms (1%)

Compiler: Compiled 11031 to 2388 computations (78.4% saved)

prune187.0ms (2%)

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	697	5	702
Fresh	1	7	8
Picked	2	3	5
Done	0	6	6
Total	700	21	721

Accuracy

100.0%

Counts

721 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.5%	(+.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))))))
	38.5%	(+.f64 im (.f64 re (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
▶	41.4%	(+.f64 im (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
	34.0%	(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
	18.1%	(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (.f64 re #s(literal -1/6 binary64))))
✓	70.6%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) im)
	40.4%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64)))
✓	53.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	33.1%	(*.f64 (+.f64 re #s(literal 1 binary64)) im)
	42.6%	(.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)))))
✓	68.1%	(.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))
▶	42.9%	(.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)
	41.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	65.1%	(.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))
✓	70.6%	(*.f64 (exp.f64 re) im)
✓	4.3%	(*.f64 re (sin.f64 im))
▶	6.7%	(*.f64 re im)
▶	18.1%	(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re)))
✓	53.7%	(sin.f64 im)
✓	30.7%	im

Compiler

Compiled 394 to 280 computations (28.9% saved)

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) re)
	cost-diff	0	(pow.f64 im #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re))
✓	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 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
✓	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
✓	cost-diff	-6272	(.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) re)
✓	cost-diff	0	(*.f64 re im)
	cost-diff	-12544	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
	cost-diff	0	(*.f64 re #s(literal 1/6 binary64))

Rules

976×	`fma-define`
228×	`associate-r`
149×	`distribute-lft-in`
140×	`associate-l`
129×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	761
1	107	673
2	325	634
3	824	624
4	1575	624
5	2055	624
6	2154	624
7	2155	624
8	2155	624

Stop Event

1×

saturated

Calls

Call 1

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

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

localize231.0ms (2.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(pow.f64 im #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) re)
✓	accuracy	99.8%	(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re)))
✓	accuracy	96.6%	(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re))
✓	accuracy	100.0%	(+.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))))))
✓	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	99.1%	(.f64 #s(literal 1/6 binary64) (.f64 im re))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) re)
✓	accuracy	100.0%	(+.f64 im (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
✓	accuracy	100.0%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
✓	accuracy	91.2%	(.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
✓	accuracy	100.0%	(*.f64 re im)
	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	96.8%	(.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)

Results

93.0ms

256×

valid

Compiler

Compiled 222 to 33 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 25.0ms (46.3% of total)

ival-add: 14.0ms (25.9% of total)

...c/correct-round.rkt:119:19: 8.0ms (14.8% of total)

ival-pow: 7.0ms (13% of total)

const: 1.0ms (1.9% of total)

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

series91.0ms (1%)

Counts

16 → 201

Calls

Call 1

Inputs
#<alt (*.f64 re im)>
#<alt (*.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 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 im re))>
#<alt (*.f64 im re)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) im)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re))>
#<alt (+.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 (+.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)>
#<alt (+.f64 im (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<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 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))>

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

Calls

81 calls:

Time	Variable		Point	Expression
53.0ms	im	@	-inf	(* 1/6 (* im re))
5.0ms	im	@	-inf	(* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))
2.0ms	re	@	inf	(* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))
1.0ms	re	@	-inf	(* re (+ (* 1/6 (* im re)) (* 1/2 im)))
1.0ms	im	@	0	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) im)

rewrite169.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

312×	`log1p-expm1-u`
312×	`expm1-log1p-u`
310×	`add-cube-cbrt`
305×	`add-exp-log`
305×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	466
1	686	422

Stop Event

1×	node limit

Counts

16 → 316

Calls

Call 1

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

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

simplify555.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

742×	`fma-neg`
710×	`associate-r`
657×	`associate-l`
363×	`exp-prod`
344×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	789	20076
1	1970	17555
2	6874	17531

Stop Event

1×	node limit

Counts

517 → 491

Calls

Call 1

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

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

eval192.0ms (2.1%)

Compiler: Compiled 11999 to 2807 computations (76.6% saved)

prune277.0ms (3%)

Pruning

22 alts after pruning (11 fresh and 11 done)

	Pruned	Kept	Total
New	661	6	667
Fresh	2	5	7
Picked	3	2	5
Done	0	9	9
Total	666	22	688

Accuracy

100.0%

Counts

688 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.5%	(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 (.f64 im #s(literal 1/6 binary64)) re) (*.f64 #s(literal 1/2 binary64) im))))))
	42.2%	(+.f64 im (.f64 re (+.f64 im (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))
	38.5%	(+.f64 im (.f64 re (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
	41.0%	(+.f64 im (.f64 im (.f64 re (*.f64 re #s(literal 1/2 binary64)))))
✓	70.6%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) im)
	40.4%	(*.f64 (+.f64 re #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64)))
✓	53.8%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	33.1%	(*.f64 (+.f64 re #s(literal 1 binary64)) im)
	42.6%	(.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)))))
✓	68.1%	(.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))
✓	42.9%	(.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)
	41.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	65.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
	18.3%	(.f64 (.f64 re #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	70.6%	(*.f64 (exp.f64 re) im)
✓	4.3%	(*.f64 re (sin.f64 im))
✓	6.7%	(*.f64 re im)
	17.6%	(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
	18.3%	(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) re))
✓	53.7%	(sin.f64 im)
✓	30.7%	im

Compiler

Compiled 553 to 267 computations (51.7% saved)

regimes178.0ms (1.9%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

5 calls:

95.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
51.0ms	(sin.f64 im)
12.0ms	im
9.0ms	re
7.0ms	(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)

regimes37.0ms (0.4%)

Counts

29 → 4

Calls

Call 1

Inputs
im
(*.f64 re im)
(*.f64 (+.f64 re #s(literal 1 binary64)) im)
(+.f64 im (.f64 im (.f64 re (*.f64 re #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 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 re (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) im)
(+.f64 im (.f64 re (+.f64 im (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) 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 (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 (.f64 im #s(literal 1/6 binary64)) re) (*.f64 #s(literal 1/2 binary64) im))))))
(sin.f64 im)
(*.f64 re (sin.f64 im))
(*.f64 (exp.f64 re) im)
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) re))
(.f64 (.f64 re #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))
(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) im)
(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (.f64 re #s(literal -1/6 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 (+.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 #s(literal 1/2 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 (+.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
(*.f64 (exp.f64 re) im)
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) 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	(sin.f64 im)
10.0ms	im
9.0ms	re
7.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
97.6%	4	`re`
87.0%	2	`im`
93.7%	3	`(exp.f64 re)`
87.0%	3	`(sin.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes10.0ms (0.1%)

Counts

26 → 4

Calls

Call 1

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

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

8.0ms

re

Results

Accuracy	Segments	Branch
96.8%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.2%)

Counts

25 → 3

Calls

Call 1

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

Calls

2 calls:

8.0ms	re
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
93.7%	3	`(exp.f64 re)`
93.7%	3	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	re
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
93.5%	3	`re`
93.5%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

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

Outputs
(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

3 calls:

5.0ms	re
5.0ms	im
5.0ms	(sin.f64 im)

Results

Accuracy	Segments	Branch
60.9%	3	`(sin.f64 im)`
60.8%	2	`im`
66.1%	2	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(.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

2 calls:

5.0ms	re
4.0ms	im

Results

Accuracy	Segments	Branch
42.9%	1	`im`
42.9%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
41.4%	1	`re`
41.4%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
41.4%	1	`re`
41.4%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
41.0%	1	`re`
41.0%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
33.1%	1	`re`
33.1%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
im
(*.f64 re im)

Outputs
im
(*.f64 re im)

Calls

2 calls:

2.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
33.5%	2	`re`
33.5%	2	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
im

Outputs
im

Calls

2 calls:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
30.7%	1	`re`
30.7%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch80.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1.5846389216305086e+99	7.712042699553687e+105
32.0ms	7.283476313506406e-10	3.8381497913023472
15.0ms	-2.7537722897004784e-6	-1.9886369337321402e-14

Results

46.0ms

448×

valid

Compiler

Compiled 626 to 465 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sin: 26.0ms (75.4% of total)

ival-exp: 4.0ms (11.6% of total)

ival-mult: 4.0ms (11.6% of total)

const: 0.0ms (0% of total)

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

bsearch1.3s (14.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.2s	1.0295081588379215e+146	1.6519832614298993e+158
80.0ms	7.283476313506406e-10	3.8381497913023472
14.0ms	-2.7537722897004784e-6	-1.9886369337321402e-14

Results

30.0ms

464×

valid

Compiler

Compiled 536 to 397 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 9.0ms (51.4% of total)

ival-exp: 4.0ms (22.8% of total)

ival-mult: 3.0ms (17.1% of total)

const: 0.0ms (0% of total)

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

bsearch99.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
82.0ms	7.283476313506406e-10	3.8381497913023472
14.0ms	-2.7537722897004784e-6	-1.9886369337321402e-14

Results

20.0ms

304×

valid

Compiler

Compiled 316 to 237 computations (25% saved)

Precisions

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

ival-sin: 6.0ms (51.7% of total)

ival-exp: 3.0ms (25.9% of total)

ival-mult: 2.0ms (17.2% 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	1.0000000007283476	46.4394721879096
0.0ms	0.9999972462315019	0.9999999999999801

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	7.283476313506406e-10	3.8381497913023472

Results

10.0ms

160×

valid

Compiler

Compiled 242 to 179 computations (26% saved)

Precisions

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

ival-sin: 3.0ms (49% of total)

ival-exp: 1.0ms (16.3% of total)

ival-mult: 1.0ms (16.3% of total)

const: 0.0ms (0% of total)

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

bsearch73.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
73.0ms	1.0495723854556289e+49	1.9777579725298083e+49

Results

71.0ms

64×

valid

Compiler

Compiled 52 to 37 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-sin: 68.0ms (98.9% of total)

ival-exp: 1.0ms (1.5% of total)

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

const: 0.0ms (0% of total)

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
12×	`+-commutative`
4×	`if-if-or-not`
3×	`1-exp`
2×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	759
1	124	759
2	128	759
3	131	759
4	134	759
5	137	759

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -6375194751874021/2361183241434822606848 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 2582544170319337/9223372036854775808 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) 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 -6375194751874021/2361183241434822606848 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 8116567392432203/18446744073709551616 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 -6375194751874021/2361183241434822606848 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 1498797955988901/576460752303423488 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (*.f64 (exp.f64 re) im)))
(if (<=.f64 (exp.f64 re) #s(literal 9007181240342483/9007199254740992 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (sin.f64 im) (.f64 (exp.f64 re) im)))
(if (<=.f64 re #s(literal 4911261142184431/75557863725914323419136 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))
(.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 #s(literal 1/2 binary64) re)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
(+.f64 im (.f64 im (.f64 re (*.f64 re #s(literal 1/2 binary64)))))
(*.f64 (+.f64 re #s(literal 1 binary64)) im)
(if (<=.f64 im #s(literal 11500000000000000098579002945342861099346522275840 binary64)) im (*.f64 re im))
im

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -6375194751874021/2361183241434822606848 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 2582544170319337/9223372036854775808 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64)) 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 -6375194751874021/2361183241434822606848 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 2582544170319337/9223372036854775808 binary64)) (.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 im (-.f64 (+.f64 (exp.f64 re) #s(literal 1 binary64)) #s(literal 1 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)))))))))))
(if (<=.f64 re #s(literal -6375194751874021/2361183241434822606848 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 2582544170319337/9223372036854775808 binary64)) (.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 im (+.f64 (+.f64 (exp.f64 re) #s(literal 1 binary64)) #s(literal -1 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)))))))))))
(if (<=.f64 re #s(literal -6375194751874021/2361183241434822606848 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 8116567392432203/18446744073709551616 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 -6375194751874021/2361183241434822606848 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 8116567392432203/18446744073709551616 binary64)) (.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (.f64 (exp.f64 re) im) (.f64 (sin.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 -6375194751874021/2361183241434822606848 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 1498797955988901/576460752303423488 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (*.f64 (exp.f64 re) im)))
(if (or (<=.f64 re #s(literal -6375194751874021/2361183241434822606848 binary64)) (not (<=.f64 re #s(literal 1498797955988901/576460752303423488 binary64)))) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 re) #s(literal 9007181240342483/9007199254740992 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (sin.f64 im) (.f64 (exp.f64 re) im)))
(if (or (<=.f64 (exp.f64 re) #s(literal 9007181240342483/9007199254740992 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 binary64)))) (*.f64 (exp.f64 re) im) (sin.f64 im))
(if (<=.f64 re #s(literal 4911261142184431/75557863725914323419136 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 4911261142184431/75557863725914323419136 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)))))))))
(.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 #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 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #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 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(+.f64 im (.f64 im (.f64 re (*.f64 re #s(literal 1/2 binary64)))))
(*.f64 (+.f64 re #s(literal 1 binary64)) im)
(*.f64 im (+.f64 re #s(literal 1 binary64)))
(if (<=.f64 im #s(literal 11500000000000000098579002945342861099346522275840 binary64)) im (*.f64 re im))
im

soundness1.0s (11.1%)

Rules

742×	`fma-neg`
710×	`associate-r`
657×	`associate-l`
629×	`distribute-lft-in`
554×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	792	15577
1	2079	14255
2	7208	14248
0	316	3144
1	629	2843
2	2029	2794
3	5620	2777
0	11	37
1	101	37
2	1105	37
0	789	20076
1	1970	17555
2	6874	17531

Stop Event

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

Compiler

Compiled 388 to 167 computations (57% saved)

preprocess84.0ms (0.9%)

Remove: (negabs im)
Compiler: Compiled 528 to 220 computations (58.3% 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%)

sample1.2s (13.2%)

preprocess62.0ms (0.7%)

explain163.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize92.0ms (1%)

series6.0ms (0.1%)

rewrite361.0ms (3.9%)

simplify120.0ms (1.3%)

eval22.0ms (0.2%)

prune28.0ms (0.3%)

simplify46.0ms (0.5%)

localize328.0ms (3.5%)

series33.0ms (0.4%)

rewrite324.0ms (3.5%)

simplify347.0ms (3.7%)

eval101.0ms (1.1%)

prune124.0ms (1.3%)

simplify91.0ms (1%)

localize345.0ms (3.7%)

series31.0ms (0.3%)

rewrite227.0ms (2.4%)

simplify348.0ms (3.7%)

eval95.0ms (1%)

prune187.0ms (2%)

simplify63.0ms (0.7%)

localize231.0ms (2.5%)

series91.0ms (1%)

rewrite169.0ms (1.8%)

simplify555.0ms (5.9%)

eval192.0ms (2.1%)

prune277.0ms (3%)

regimes178.0ms (1.9%)

regimes37.0ms (0.4%)

regimes10.0ms (0.1%)

regimes17.0ms (0.2%)

regimes11.0ms (0.1%)

regimes16.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch80.0ms (0.9%)

bsearch1.3s (14.3%)

bsearch99.0ms (1.1%)

bsearch0.0ms (0%)

bsearch18.0ms (0.2%)

bsearch73.0ms (0.8%)

simplify14.0ms (0.2%)

soundness1.0s (11.1%)

preprocess84.0ms (0.9%)

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