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)

sample1.1s (16.3%)

Results

928.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 332.0ms

ival-sin: 201.0ms (60.5% of total)

ival-mult: 62.0ms (18.7% of total)

ival-exp: 60.0ms (18.1% of total)

const: 7.0ms (2.1% of total)

backward-pass: 2.0ms (0.6% of total)

Bogosity

preprocess62.0ms (0.9%)

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)

explain133.0ms (1.9%)

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Results

39.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-sin: 13.0ms (62.2% of total)

ival-mult: 4.0ms (19.1% of total)

ival-exp: 4.0ms (19.1% 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

localize131.0ms (1.9%)

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

124.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-sin: 6.0ms (60.9% of total)

ival-exp: 2.0ms (20.3% of total)

ival-mult: 2.0ms (20.3% 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	im	@	-inf	(* (exp re) (sin im))

rewrite259.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	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)))

simplify101.0ms (1.5%)

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)))))
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eval42.0ms (0.6%)

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

prune24.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	161	6	167
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	161	7	168

Accuracy

100.0%

Counts

168 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
▶	53.2%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
▶	69.1%	(.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))
▶	64.4%	(.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))
▶	69.1%	(*.f64 (exp.f64 re) im)
▶	52.6%	(sin.f64 im)

Compiler

Compiled 125 to 87 computations (30.4% saved)

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

956×	`fma-define`
177×	`distribute-lft-in`
165×	`distribute-rgt-in`
160×	`associate-r`
124×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	485
1	63	413
2	149	413
3	355	413
4	735	413
5	1504	413
6	1984	413
7	1996	413

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

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

localize122.0ms (1.8%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	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	93.7%	(.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%	(exp.f64 re)
✓	accuracy	100.0%	(*.f64 (exp.f64 re) im)
	accuracy	100.0%	(sin.f64 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	97.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im))

Results

82.0ms

256×

valid

Compiler

Compiled 141 to 23 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 15.0ms (39.9% of total)

ival-add: 7.0ms (18.6% of total)

ival-sin: 7.0ms (18.6% of total)

...c/correct-round.rkt:121:19: 6.0ms (16% of total)

ival-exp: 2.0ms (5.3% of total)

const: 1.0ms (2.7% of total)

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

series165.0ms (2.4%)

Counts

12 → 192

Calls

Call 1

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

Outputs
#<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 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 (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))))>
#<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)))))>

Calls

48 calls:

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

rewrite269.0ms (3.9%)

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	6726	251

Stop Event

1×	node limit

Counts

12 → 289

Calls

Call 1

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

simplify404.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

532×	`fma-neg`
523×	`associate-r`
463×	`fma-define`
460×	`associate-l`
395×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	790	15641
1	2083	14343
2	7228	14320

Stop Event

1×	node limit

Counts

481 → 502

Calls

Call 1

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

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

eval104.0ms (1.5%)

Compiler: Compiled 13252 to 2635 computations (80.1% saved)

prune161.0ms (2.3%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	763	14	777
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	765	19	784

Accuracy

100.0%

Counts

784 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(+.f64 (*.f64 (sin.f64 im) re) (sin.f64 im))
	39.7%	(+.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))))))
▶	35.7%	(+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re im)))))
	35.4%	(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
▶	36.8%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	53.2%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	30.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) im)
	44.6%	(.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)))))
	41.6%	(.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))))))) im)
	42.7%	(.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)))))
✓	64.4%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
	39.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
	53.1%	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (sin.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	69.1%	(*.f64 (exp.f64 re) im)
▶	4.2%	(*.f64 re (sin.f64 im))
	36.8%	(.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)))))))
✓	52.6%	(sin.f64 im)
▶	30.2%	im

Compiler

Compiled 395 to 278 computations (29.6% saved)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 13 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 #s(literal 1/2 binary64) (.f64 re im)))
✓	cost-diff	-6272	(.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re im))))
✓	cost-diff	0	(*.f64 re im)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 re im))
	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(*.f64 (sin.f64 im) re)
✓	cost-diff	6400	(+.f64 (*.f64 (sin.f64 im) re) (sin.f64 im))

Rules

1011×	`fma-define`
147×	`associate-r`
120×	`associate-l`
94×	`distribute-rgt-in`
88×	`distribute-lft-out`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	360
1	59	333
2	142	324
3	368	324
4	988	321
5	1596	321
6	1983	321
7	2044	321
8	2046	321

Stop Event

1×

saturated

Calls

Call 1

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

localize201.0ms (2.9%)

Localize:

Found 13 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	100.0%	(.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 re im)
✓	accuracy	100.0%	(+.f64 im (.f64 #s(literal 1/2 binary64) (.f64 re im)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 re im))
✓	accuracy	99.9%	(.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re im))))
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	100.0%	(+.f64 (*.f64 (sin.f64 im) re) (sin.f64 im))
✓	accuracy	99.8%	(*.f64 (sin.f64 im) re)

Results

178.0ms

256×

valid

Compiler

Compiled 99 to 21 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 12.0ms (31.4% of total)

ival-add: 10.0ms (26.1% of total)

ival-sin: 6.0ms (15.7% of total)

ival-pow: 5.0ms (13.1% of total)

...c/correct-round.rkt:121:19: 4.0ms (10.5% of total)

const: 1.0ms (2.6% of total)

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

series30.0ms (0.4%)

Counts

11 → 184

Calls

Call 1

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

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

57 calls:

Time	Variable		Point	Expression
5.0ms	re	@	0	(* (sin im) re)
2.0ms	re	@	0	(+ (* (sin im) re) (sin im))
1.0ms	re	@	0	(* (+ re 1) (+ im (* -1/6 (pow im 3))))
1.0ms	re	@	inf	(* 1/2 (* re im))
1.0ms	im	@	0	(* -1/6 (pow im 3))

rewrite341.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`log1p-expm1-u`
653×	`expm1-log1p-u`
180×	`associate-r`
165×	`add-cube-cbrt`
160×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	248
1	373	229
2	5290	229

Stop Event

1×	node limit

Counts

11 → 276

Calls

Call 1

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

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

simplify249.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

711×	`fma-neg`
600×	`associate-r`
547×	`associate-l`
423×	`fma-define`
315×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	696	16668
1	1791	15480
2	7017	15477

Stop Event

1×	node limit

Counts

460 → 417

Calls

Call 1

Inputs
(*.f64 im (+.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) re) #s(literal 1/6 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/6 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/120 binary64) re)))) #s(literal 1/6 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/6 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/120 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64))))))) #s(literal 1/6 binary64))))))
(+.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 (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 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 re (sin.f64 im))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (sin.f64 im))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(*.f64 im re)
(.f64 im (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(.f64 im (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) re) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
(.f64 im (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/120 binary64) re)))))))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(*.f64 re (sin.f64 im))
(.f64 #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 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))))
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(/.f64 (.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) (pow.f64 re #s(literal 3 binary64)))) (.f64 (+.f64 im (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64))) (fma.f64 re re #s(literal -1 binary64))) (.f64 (+.f64 im (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))) (+.f64 re #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 im (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 im (+.f64 re #s(literal 1 binary64))) (.f64 im (+.f64 re #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 re #s(literal 1 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 re #s(literal 1 binary64))))) (.f64 (.f64 im (+.f64 re #s(literal 1 binary64))) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 re #s(literal 1 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 im (+.f64 re #s(literal 1 binary64))) (.f64 im (+.f64 re #s(literal 1 binary64)))) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 re #s(literal 1 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 re #s(literal 1 binary64)))))) (-.f64 (.f64 im (+.f64 re #s(literal 1 binary64))) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 re #s(literal 1 binary64))))))
(/.f64 (.f64 (+.f64 re #s(literal 1 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)))) (fma.f64 im im (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))
(/.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (-.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 (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) 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 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) 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))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)) (+.f64 re #s(literal -1 binary64)))
(/.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))) (+.f64 re #s(literal 1 binary64))) (fma.f64 im im (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))
(/.f64 (.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64))) (+.f64 re #s(literal 1 binary64))) (+.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(pow.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (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 (*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)) (+.f64 re #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) 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)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (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)) (log1p.f64 re)))
(exp.f64 (*.f64 (+.f64 (log.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)) (log1p.f64 re)) #s(literal 1 binary64)))
(fma.f64 im (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 re #s(literal 1 binary64)))))
(fma.f64 (+.f64 re #s(literal 1 binary64)) im (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 re #s(literal 1 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))) #s(literal 1 binary64))
(-.f64 (/.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 6 binary64)) #s(literal 1/36 binary64)) (+.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (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 2 binary64)))
(*.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 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))))
(.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 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (+.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 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (-.f64 (.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 (.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 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 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))))))
(/.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 -1/6 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 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 (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 (cbrt.f64 (pow.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))))

Outputs
(*.f64 im (+.f64 #s(literal 1 binary64) re))
(fma.f64 im re im)
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/6 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/120 binary64) re)))) #s(literal 1/6 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/6 binary64) re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 re #s(literal 1/120 binary64))))) #s(literal -1/6 binary64))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/6 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal 1/120 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) re)))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/6 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/120 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64))))))) #s(literal 1/6 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/6 binary64) re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (fma.f64 #s(literal 1/120 binary64) re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) re #s(literal -1/5040 binary64))))))) #s(literal -1/6 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/6 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (fma.f64 re #s(literal 1/120 binary64) #s(literal 1/120 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/5040 binary64) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))) re)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.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 (-.f64 (/.f64 (sin.f64 im) (neg.f64 re)) (sin.f64 im)) (neg.f64 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 (-.f64 (/.f64 (sin.f64 im) (neg.f64 re)) (sin.f64 im)) (neg.f64 re))
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(/.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 #s(literal 1 binary64) (/.f64 (fma.f64 im im (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (+.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 (fma.f64 im im (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))) (+.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 im im (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))))))
(/.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 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 (+.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 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im im (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))) (+.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 im im (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 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 (.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 3 binary64)) (.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (fma.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 (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 (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))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/36 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 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 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 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 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))))
(.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 im im (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 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))))))
(/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 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))))))
(/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))
(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 -1/6 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 #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 (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 (cbrt.f64 (pow.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)
(+.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)

eval112.0ms (1.6%)

Compiler: Compiled 10111 to 1945 computations (80.8% saved)

prune173.0ms (2.5%)

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	616	4	620
Fresh	1	8	9
Picked	1	4	5
Done	0	5	5
Total	618	21	639

Accuracy

100.0%

Counts

639 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.2%	(+.f64 (*.f64 (sin.f64 im) re) (sin.f64 im))
▶	39.7%	(+.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))))))
✓	35.7%	(+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re im)))))
▶	39.0%	(+.f64 im (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
	35.4%	(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
	17.1%	(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
✓	53.2%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	30.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) im)
	44.6%	(.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)))))
	41.6%	(.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))))))) im)
	42.7%	(.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)))))
✓	64.4%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
▶	53.1%	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (sin.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	69.1%	(*.f64 (exp.f64 re) im)
✓	4.2%	(*.f64 re (sin.f64 im))
▶	4.7%	(*.f64 re im)
	36.8%	(.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)))))))
▶	17.1%	(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re)))
✓	52.6%	(sin.f64 im)
✓	30.2%	im

Compiler

Compiled 392 to 281 computations (28.3% saved)

simplify77.0ms (1.1%)

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	0	(sin.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) re)
✓	cost-diff	128	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (sin.f64 im))

Rules

545×	`distribute-rgt-in`
525×	`distribute-lft-in`
524×	`fma-define`
446×	`associate-+l-`
438×	`distribute-lft-out--`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	599
1	96	563
2	304	535
3	938	511
4	2441	511
5	3508	511
6	5842	511

Stop Event

1×	node limit

Calls

Call 1

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

localize258.0ms (3.7%)

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	95.9%	(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))
✓	accuracy	100.0%	(.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im)))))
✓	accuracy	99.9%	(.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) im)))
✓	accuracy	99.6%	(.f64 #s(literal 1/6 binary64) (.f64 im re))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
✓	accuracy	100.0%	(*.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	93.7%	(.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
	accuracy	100.0%	(*.f64 re im)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) re)
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re))
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (sin.f64 im))

Results

223.0ms

256×

valid

Compiler

Compiled 176 to 32 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 22.0ms (39.4% of total)

ival-add: 11.0ms (19.7% of total)

ival-sin: 10.0ms (17.9% of total)

...c/correct-round.rkt:121:19: 8.0ms (14.3% of total)

ival-pow: 5.0ms (9% of total)

const: 1.0ms (1.8% of total)

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

series126.0ms (1.8%)

Counts

16 → 172

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
56.0ms	im	@	0	(* 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	(* im (* re (+ 1 (* 1/2 re))))
1.0ms	im	@	-inf	(* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))
0.0ms	im	@	-inf	(* re (+ (* 1/6 (* im re)) (* 1/2 im)))

rewrite250.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

433×	`log1p-expm1-u`
284×	`associate-r`
234×	`expm1-log1p-u`
232×	`add-cube-cbrt`
229×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	362
1	536	346
2	7791	346

Stop Event

1×	node limit

Counts

16 → 454

Calls

Call 1

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

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

simplify280.0ms (4%)

Algorithm

1×	egg-herbie

Rules

895×	`times-frac`
513×	`fma-define`
463×	`fma-neg`
382×	`*-commutative`
293×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	980	21723
1	2403	20418
2	6128	20000

Stop Event

1×	node limit

Counts

626 → 642

Calls

Call 1

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

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

eval172.0ms (2.5%)

Compiler: Compiled 12505 to 2955 computations (76.4% saved)

prune190.0ms (2.7%)

Pruning

22 alts after pruning (11 fresh and 11 done)

	Pruned	Kept	Total
New	728	7	735
Fresh	3	4	7
Picked	3	2	5
Done	0	9	9
Total	734	22	756

Accuracy

100.0%

Counts

756 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.2%	(+.f64 (*.f64 (sin.f64 im) re) (sin.f64 im))
	39.7%	(+.f64 im (.f64 re (+.f64 im (.f64 re (.f64 re (.f64 im #s(literal 1/6 binary64)))))))
	39.7%	(+.f64 im (.f64 re (+.f64 im (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 im re))))))
✓	35.7%	(+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 re im)))))
	41.6%	(+.f64 im (.f64 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
	39.0%	(+.f64 im (.f64 im (.f64 re (*.f64 re #s(literal 1/2 binary64)))))
✓	53.2%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	30.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) im)
	44.6%	(.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)))))
	42.7%	(.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)))))
✓	64.4%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
✓	53.1%	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (sin.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	69.1%	(*.f64 (exp.f64 re) im)
	17.1%	(.f64 re (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
✓	4.2%	(*.f64 re (sin.f64 im))
✓	4.7%	(*.f64 re im)
	36.8%	(.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)))))))
	15.7%	(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
	17.1%	(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) re))
✓	52.6%	(sin.f64 im)
✓	30.2%	im

Compiler

Compiled 539 to 252 computations (53.2% saved)

regimes70.0ms (1%)

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

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

Calls

5 calls:

27.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
12.0ms	re
11.0ms	(sin.f64 im)
9.0ms	im
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)

regimes42.0ms (0.6%)

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

Calls

4 calls:

12.0ms	(exp.f64 re)
10.0ms	re
9.0ms	im
9.0ms	(sin.f64 im)

Results

Accuracy	Segments	Branch
97.3%	4	`re`
84.9%	2	`im`
94.0%	2	`(exp.f64 re)`
85.2%	3	`(sin.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes17.0ms (0.2%)

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

Outputs
(*.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))
(*.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

2 calls:

8.0ms	re
7.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
91.8%	3	`(exp.f64 re)`
95.8%	4	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes18.0ms (0.3%)

Counts

24 → 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 1/2 binary64) (*.f64 re im)))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 im re))))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (.f64 re (.f64 im #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 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
(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 re (.f64 #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 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (sin.f64 im))
(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) re)))
(.f64 (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal -1/6 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)))))

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

Calls

2 calls:

11.0ms	re
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
91.7%	3	`(exp.f64 re)`
91.8%	3	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.2%)

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

6.0ms	(exp.f64 re)
5.0ms	re

Results

Accuracy	Segments	Branch
91.2%	3	`(exp.f64 re)`
91.2%	3	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes17.0ms (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 1/2 binary64) (*.f64 re im)))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 im re))))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (.f64 re (.f64 im #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 im (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
(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:

6.0ms	(sin.f64 im)
5.0ms	im
5.0ms	re

Results

Accuracy	Segments	Branch
59.6%	3	`(sin.f64 im)`
59.6%	2	`im`
64.2%	2	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.2%)

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

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:

4.0ms	im
4.0ms	re

Results

Accuracy	Segments	Branch
41.6%	1	`im`
41.6%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

9 → 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 1/2 binary64) (*.f64 re im)))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 im re))))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (.f64 re (.f64 im #s(literal 1/6 binary64)))))))

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

Calls

2 calls:

3.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
39.7%	1	`re`
39.7%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts

7 → 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 1/2 binary64) (*.f64 re 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:

3.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
39.0%	1	`re`
39.0%	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
39.0%	1	`re`
39.0%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (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	im
2.0ms	re

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -17.3b remaining (-38.8%)

Threshold costs -17.3b (-38.8%)

Counts

2 → 1

Calls

Call 1

Inputs
im
(*.f64 re im)

Outputs
im

Calls

2 calls:

4.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
30.2%	1	`im`
30.2%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch42.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	4.7555231813535885e+95	3.091032369126416e+104
8.0ms	8.562933129798137e+42	1.802163956184784e+43
16.0ms	-58953083.082382314	-38.64781677582554

Results

26.0ms

368×

valid

Compiler

Compiled 554 to 404 computations (27.1% saved)

Precisions

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

ival-sin: 8.0ms (50% of total)

ival-mult: 4.0ms (25% of total)

ival-exp: 3.0ms (18.8% of total)

const: 0.0ms (0% of total)

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

bsearch53.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	1.917926758433468e+147	1.2566751366167419e+171
8.0ms	8.562933129798137e+42	1.802163956184784e+43
22.0ms	-58953083.082382314	-38.64781677582554

Results

33.0ms

400×

valid

Compiler

Compiled 562 to 409 computations (27.2% saved)

Precisions

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

ival-sin: 9.0ms (58% of total)

ival-exp: 3.0ms (19.3% of total)

ival-mult: 3.0ms (19.3% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.562933129798137e+42	1.802163956184784e+43
14.0ms	-58953083.082382314	-38.64781677582554

Results

17.0ms

224×

valid

Compiler

Compiled 236 to 177 computations (25% saved)

Precisions

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

ival-sin: 7.0ms (60.5% of total)

ival-exp: 2.0ms (17.3% of total)

ival-mult: 2.0ms (17.3% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.562933129798137e+42	1.802163956184784e+43
17.0ms	-58953083.082382314	-38.64781677582554

Results

17.0ms

224×

valid

Compiler

Compiled 180 to 135 computations (25% saved)

Precisions

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

ival-sin: 5.0ms (43.8% of total)

ival-mult: 4.0ms (35% of total)

ival-exp: 2.0ms (17.5% of total)

const: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.562933129798137e+42	1.802163956184784e+43

Results

5.0ms

80×

valid

Compiler

Compiled 127 to 94 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sin: 2.0ms (62.2% of total)

ival-exp: 1.0ms (31.1% of total)

ival-mult: 1.0ms (31.1% of total)

const: 0.0ms (0% of total)

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	727
1	107	717
2	110	717
3	112	713
4	113	713
5	114	713

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -39 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (sin.f64 im)) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 (exp.f64 re) im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im)))))
(if (<=.f64 re #s(literal -39 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (sin.f64 im)) (if (<=.f64 re #s(literal 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 -39 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (*.f64 (exp.f64 re) im)))
(if (<=.f64 re #s(literal -39 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64)) (sin.f64 im) (.f64 (exp.f64 re) im)))
(if (<=.f64 re #s(literal 8800000000000000518788275495606095202746368 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 re (+.f64 im (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 im 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)
im

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -39 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (sin.f64 im)) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 (exp.f64 re) im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im)))))
(if (<=.f64 re #s(literal -39 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64)) (.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 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 (exp.f64 re) 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)))))))))))
(if (<=.f64 re #s(literal -39 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (sin.f64 im)) (if (<=.f64 re #s(literal 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 -39 binary64)) (.f64 (exp.f64 re) im) (if (or (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64)) (not (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)))) (.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))) (*.f64 (exp.f64 re) im)))
(if (or (<=.f64 re #s(literal -39 binary64)) (not (or (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64)) (not (<=.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 (or (<=.f64 re #s(literal -39 binary64)) (and (not (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64))) (<=.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 -39 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (*.f64 (exp.f64 re) im)))
(if (or (<=.f64 re #s(literal -39 binary64)) (not (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64)))) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 re #s(literal -39 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64)) (sin.f64 im) (.f64 (exp.f64 re) im)))
(if (or (<=.f64 re #s(literal -39 binary64)) (not (<=.f64 re #s(literal 8599999999999999550407602513821198798815232 binary64)))) (*.f64 (exp.f64 re) im) (sin.f64 im))
(if (<=.f64 re #s(literal 8800000000000000518788275495606095202746368 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 8800000000000000518788275495606095202746368 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 re (+.f64 im (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 im re))))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 re im))))))
(.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)))
im

soundness771.0ms (11.1%)

Rules

895×	`times-frac`
629×	`distribute-lft-in`
554×	`distribute-rgt-in`
532×	`fma-neg`
523×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	980	21723
1	2403	20418
2	6128	20000
0	790	15641
1	2083	14343
2	7228	14320
0	316	3144
1	629	2843
2	2029	2794
3	5620	2777

Stop Event

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

Compiler

Compiled 312 to 123 computations (60.6% saved)

preprocess70.0ms (1%)

Remove: (negabs im)
Compiler: Compiled 498 to 192 computations (61.4% 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%)

sample1.1s (16.3%)

preprocess62.0ms (0.9%)

explain133.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize131.0ms (1.9%)

series6.0ms (0.1%)

rewrite259.0ms (3.7%)

simplify101.0ms (1.5%)

eval42.0ms (0.6%)

prune24.0ms (0.4%)

simplify45.0ms (0.6%)

localize122.0ms (1.8%)

series165.0ms (2.4%)

rewrite269.0ms (3.9%)

simplify404.0ms (5.8%)

eval104.0ms (1.5%)

prune161.0ms (2.3%)

simplify80.0ms (1.2%)

localize201.0ms (2.9%)

series30.0ms (0.4%)

rewrite341.0ms (4.9%)

simplify249.0ms (3.6%)

eval112.0ms (1.6%)

prune173.0ms (2.5%)

simplify77.0ms (1.1%)

localize258.0ms (3.7%)

series126.0ms (1.8%)

rewrite250.0ms (3.6%)

simplify280.0ms (4%)

eval172.0ms (2.5%)

prune190.0ms (2.7%)

regimes70.0ms (1%)

regimes42.0ms (0.6%)

regimes17.0ms (0.2%)

regimes18.0ms (0.3%)

regimes12.0ms (0.2%)

regimes17.0ms (0.2%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch42.0ms (0.6%)

bsearch53.0ms (0.8%)

bsearch26.0ms (0.4%)

bsearch27.0ms (0.4%)

bsearch9.0ms (0.1%)

simplify15.0ms (0.2%)

soundness771.0ms (11.1%)

preprocess70.0ms (1%)

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