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)

sample1.0s (17.3%)

Results

769.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 487.0ms

ival-sin: 302.0ms (62% of total)

ival-mult: 106.0ms (21.8% of total)

ival-exp: 69.0ms (14.2% of total)

const: 8.0ms (1.6% of total)

backward-pass: 2.0ms (0.4% of total)

Bogosity

preprocess342.0ms (5.8%)

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)

explain69.0ms (1.2%)

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

41.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sin: 13.0ms (56.8% of total)

ival-mult: 6.0ms (26.2% of total)

ival-exp: 4.0ms (17.5% of total)

const: 1.0ms (4.4% 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)

simplify7.0ms (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

localize26.0ms (0.4%)

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

20.0ms

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 (60.1% of total)

ival-exp: 2.0ms (20% of total)

ival-mult: 2.0ms (20% 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))
1.0ms	re	@	0	(* (exp re) (sin im))
0.0ms	im	@	inf	(* (exp re) (sin im))
0.0ms	im	@	-inf	(* (exp re) (sin im))

rewrite293.0ms (5%)

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)))

simplify99.0ms (1.7%)

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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eval93.0ms (1.6%)

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

prune25.0ms (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
	54.3%	(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
▶	54.3%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
▶	66.6%	(.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))))))) (sin.f64 im))
▶	62.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	69.5%	(*.f64 (exp.f64 re) im)
▶	54.2%	(sin.f64 im)

Compiler

Compiled 125 to 87 computations (30.4% saved)

simplify41.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

localize277.0ms (4.7%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	95.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im))
✓	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	100.0%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
✓	accuracy	93.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	accuracy	100.0%	(sin.f64 im)
	accuracy	100.0%	(exp.f64 re)
✓	accuracy	100.0%	(*.f64 (exp.f64 re) im)

Results

241.0ms

256×

valid

Compiler

Compiled 141 to 23 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-add: 61.0ms (67.3% of total)

ival-mult: 15.0ms (16.6% of total)

ival-sin: 8.0ms (8.8% of total)

...c/correct-round.rkt:121:19: 4.0ms (4.4% of total)

ival-exp: 2.0ms (2.2% of total)

const: 1.0ms (1.1% of total)

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

series30.0ms (0.5%)

Counts

12 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite222.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

12 → 289

Calls

Call 1

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

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

simplify247.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

481 → 493

Calls

Call 1

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

Outputs
im
(+.f64 im (*.f64 im re))
(fma.f64 im re im)
(+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(fma.f64 re (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) im)
(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 im re) (.f64 im #s(literal 1/2 binary64)))))))
(fma.f64 re (fma.f64 re (fma.f64 im #s(literal 1/2 binary64) (.f64 im (.f64 re #s(literal 1/6 binary64)))) im) im)
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
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(*.f64 re (sin.f64 im))
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(*.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))
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(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))))
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(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))))
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(neg.f64 (*.f64 re (fma.f64 #s(literal -1 binary64) (sin.f64 im) (/.f64 (neg.f64 (sin.f64 im)) re))))
(.f64 re (.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re))))
(*.f64 im (+.f64 #s(literal 1 binary64) re))
(+.f64 im (*.f64 im re))
(fma.f64 im re im)
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))))
(.f64 im (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 1/120 binary64)))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64)))) re)))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) re)))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/120 binary64) re)))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) (+.f64 re #s(literal 1 binary64)))) re)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
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(*.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)))
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(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
re
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re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
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(*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)

eval100.0ms (1.7%)

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

prune112.0ms (1.9%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	756	12	768
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	757	18	775

Accuracy

100.0%

Counts

775 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.6%	(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
	38.2%	(+.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))))))
	33.3%	(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
	33.2%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	54.3%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	31.6%	(*.f64 (+.f64 re #s(literal 1 binary64)) im)
	40.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	66.6%	(.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))))))) (sin.f64 im))
▶	40.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) im)
	37.2%	(.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)))))
✓	62.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
▶	36.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
▶	54.2%	(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) (sin.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	69.5%	(*.f64 (exp.f64 re) im)
▶	4.2%	(*.f64 re (sin.f64 im))
✓	54.2%	(sin.f64 im)
▶	29.2%	im

Compiler

Compiled 365 to 257 computations (29.6% saved)

simplify159.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(*.f64 re (sin.f64 im))
	cost-diff	-12544	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
	cost-diff	0	(*.f64 re #s(literal 1/6 binary64))
✓	cost-diff	-12544	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
	cost-diff	0	(*.f64 re #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) re)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
✓	cost-diff	256	(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
✓	cost-diff	256	(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) (sin.f64 im))

Rules

1145×	`fma-define`
714×	`cube-prod`
645×	`associate-/r/`
457×	`distribute-lft-in`
416×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	509
1	71	407
2	166	407
3	398	407
4	891	407
5	1912	407
6	3004	407
7	3944	407
8	5110	407
9	5745	407
10	6659	407
11	7024	407
12	7604	407

Stop Event

1×	node limit

Calls

Call 1

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

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

localize192.0ms (3.3%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	99.8%	(*.f64 re (sin.f64 im))
	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	95.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) im)
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
	accuracy	100.0%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
✓	accuracy	93.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	99.9%	(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) (sin.f64 im))
✓	accuracy	99.9%	(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))

Results

158.0ms

256×

valid

Compiler

Compiled 149 to 24 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 17.0ms (41.3% of total)

ival-add: 10.0ms (24.3% of total)

ival-sin: 6.0ms (14.6% of total)

...c/correct-round.rkt:121:19: 4.0ms (9.7% of total)

ival-div: 3.0ms (7.3% of total)

const: 1.0ms (2.4% of total)

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

series21.0ms (0.4%)

Counts

7 → 88

Calls

Call 1

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

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	re	@	-inf	(* (* re (+ 1 (/ 1 re))) (sin im))
2.0ms	re	@	0	(* (* re (+ 1 (/ 1 re))) (sin im))
1.0ms	im	@	inf	(* (* re (+ 1 (/ 1 re))) (sin im))
1.0ms	im	@	0	(* (* re (+ 1 (/ 1 re))) (sin im))
1.0ms	re	@	inf	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) im)

rewrite196.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`log1p-expm1-u`
243×	`associate-r`
229×	`expm1-log1p-u`
225×	`add-log-exp`
224×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	201
1	498	151
2	7391	151

Stop Event

1×	node limit

Counts

7 → 160

Calls

Call 1

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

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

simplify141.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

356×	`times-frac`
301×	`associate-r`
299×	`associate-+l+`
263×	`associate-+r+`
258×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	8371
1	1158	7563
2	3857	7382

Stop Event

1×	node limit

Counts

248 → 271

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

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

eval95.0ms (1.6%)

Compiler: Compiled 10346 to 2488 computations (76% saved)

prune96.0ms (1.6%)

Pruning

22 alts after pruning (11 fresh and 11 done)

	Pruned	Kept	Total
New	633	4	637
Fresh	0	7	7
Picked	0	5	5
Done	0	6	6
Total	633	22	655

Accuracy

100.0%

Counts

655 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.6%	(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
	38.2%	(+.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))))))
▶	33.3%	(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
	33.2%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	54.3%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	31.6%	(*.f64 (+.f64 re #s(literal 1 binary64)) im)
▶	40.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	66.6%	(.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))))))) (sin.f64 im))
✓	40.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) im)
	37.2%	(.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)))))
✓	62.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
✓	36.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
▶	36.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))) im)
✓	54.2%	(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) (sin.f64 im))
▶	31.5%	(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) im)
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	69.5%	(*.f64 (exp.f64 re) im)
	7.5%	(.f64 re (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	4.2%	(*.f64 re (sin.f64 im))
▶	6.4%	(*.f64 re im)
✓	54.2%	(sin.f64 im)
✓	29.2%	im

Compiler

Compiled 398 to 278 computations (30.2% saved)

simplify192.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.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	-6144	(*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
✓	cost-diff	-6144	(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
	cost-diff	0	(/.f64 #s(literal 1 binary64) re)
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))
✓	cost-diff	-6016	(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) im)
	cost-diff	0	(/.f64 #s(literal 1 binary64) re)
	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
	cost-diff	256	(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
✓	cost-diff	0	(*.f64 re im)
	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 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 1/6 binary64))

Rules

812×	`associate-*r/`
561×	`cube-prod`
541×	`fma-define`
369×	`distribute-rgt-out`
331×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	664
1	87	514
2	231	513
3	750	513
4	3196	513
5	6146	513
6	6499	513
7	6871	513
8	7336	513
9	7966	513

Stop Event

1×	node limit

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

localize339.0ms (5.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 im #s(literal 3 binary64))
✓	accuracy	100.0%	(+.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%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))
✓	accuracy	100.0%	(.f64 re (.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
✓	accuracy	99.9%	(*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
✓	accuracy	93.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))) im)
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) re)
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
✓	accuracy	100.0%	(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) im)
	accuracy	99.9%	(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
✓	accuracy	100.0%	(*.f64 re im)
	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	accuracy	99.8%	(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	95.6%	(.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)))))

Results

113.0ms

256×

valid

Compiler

Compiled 196 to 28 computations (85.7% saved)

Precisions

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

ival-mult: 52.0ms (67.6% of total)

ival-add: 9.0ms (11.7% of total)

...c/correct-round.rkt:121:19: 8.0ms (10.4% of total)

ival-pow: 5.0ms (6.5% of total)

ival-div: 2.0ms (2.6% of total)

const: 1.0ms (1.3% of total)

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

series24.0ms (0.4%)

Counts

10 → 132

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite184.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

289×	`associate-r`
258×	`add-cube-cbrt`
257×	`log1p-expm1-u`
257×	`expm1-log1p-u`
256×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	298
1	561	220

Stop Event

1×	node limit

Counts

10 → 238

Calls

Call 1

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

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

simplify219.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

608×	`associate-r`
543×	`associate-l`
476×	`fma-define`
421×	`fma-neg`
342×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	691	15827
1	1911	13321
2	7288	13305

Stop Event

1×	node limit

Counts

370 → 376

Calls

Call 1

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

eval109.0ms (1.8%)

Compiler: Compiled 14099 to 2505 computations (82.2% saved)

prune110.0ms (1.9%)

Pruning

24 alts after pruning (12 fresh and 12 done)

	Pruned	Kept	Total
New	694	6	700
Fresh	0	6	6
Picked	3	2	5
Done	1	10	11
Total	698	24	722

Accuracy

100.0%

Counts

722 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.6%	(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
	38.2%	(+.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))))))
	33.2%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	54.3%	(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
	31.6%	(*.f64 (+.f64 re #s(literal 1 binary64)) im)
	36.7%	(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 re #s(literal 1/2 binary64)) re) re)) im)
	10.6%	(.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 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
✓	66.6%	(.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))))))) (sin.f64 im))
✓	40.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) im)
	37.2%	(.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)))))
✓	62.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
✓	36.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))) im)
	36.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/2 binary64)))) im)
	29.1%	(.f64 (.f64 re (/.f64 #s(literal 1 binary64) re)) im)
✓	54.2%	(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) (sin.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	69.5%	(*.f64 (exp.f64 re) im)
	31.5%	(*.f64 re (+.f64 im (/.f64 im re)))
	7.5%	(.f64 re (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	4.2%	(*.f64 re (sin.f64 im))
✓	6.4%	(*.f64 re im)
	15.6%	(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
✓	54.2%	(sin.f64 im)
✓	29.2%	im

Compiler

Compiled 543 to 261 computations (51.9% saved)

regimes130.0ms (2.2%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

5 calls:

94.0ms	re
9.0ms	(sin.f64 im)
9.0ms	(exp.f64 re)
9.0ms	im
8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

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)

regimes33.0ms (0.6%)

Counts

27 → 4

Calls

Call 1

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

9.0ms	im
8.0ms	(sin.f64 im)
8.0ms	re
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
96.6%	4	`re`
81.8%	2	`im`
94.6%	3	`(exp.f64 re)`
81.8%	3	`(sin.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes15.0ms (0.2%)

Counts

23 → 3

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 re) im)
(.f64 (+.f64 #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)

Calls

2 calls:

8.0ms	re
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
94.6%	3	`(exp.f64 re)`
94.6%	3	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.3%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	re
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
94.5%	3	`re`
94.5%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.2%)

Counts

17 → 3

Calls

Call 1

Inputs
im
(*.f64 re im)
(*.f64 (+.f64 re #s(literal 1 binary64)) im)
(*.f64 re (+.f64 im (/.f64 im re)))
(.f64 (.f64 re (/.f64 #s(literal 1 binary64) re)) im)
(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) im)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/2 binary64)))) im)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 re #s(literal 1/2 binary64)) re) re)) im)
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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))))))) 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))))))
(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	re
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
94.4%	3	`re`
94.4%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes17.0ms (0.3%)

Counts

15 → 2

Calls

Call 1

Inputs
im
(*.f64 re im)
(*.f64 (+.f64 re #s(literal 1 binary64)) im)
(*.f64 re (+.f64 im (/.f64 im re)))
(.f64 (.f64 re (/.f64 #s(literal 1 binary64) re)) im)
(.f64 (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) im)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/2 binary64)))) im)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 re #s(literal 1/2 binary64)) re) re)) im)
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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))))))) 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))))))
(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	re
5.0ms	(sin.f64 im)
5.0ms	im

Results

Accuracy	Segments	Branch
60.8%	3	`(sin.f64 im)`
60.7%	2	`im`
66.4%	2	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	re
4.0ms	im

Results

Accuracy	Segments	Branch
40.8%	1	`im`
40.8%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

4.0ms	im
4.0ms	re

Results

Accuracy	Segments	Branch
36.7%	1	`re`
36.7%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
36.7%	1	`im`
36.7%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
31.6%	1	`im`
31.6%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
im
(*.f64 re im)

Outputs
im
(*.f64 re im)

Calls

2 calls:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
32.0%	2	`im`
31.9%	2	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
im

Outputs
im

Calls

2 calls:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
29.2%	1	`re`
29.2%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch46.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	1.7311105338942243e+98	2.474188912582525e+98
16.0ms	1.4944537850965021e-15	6708.09313554936
20.0ms	-9482249086.71326	-155.94839800552748

Results

30.0ms

368×

valid

Compiler

Compiled 534 to 389 computations (27.2% saved)

Precisions

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

ival-sin: 9.0ms (56.6% of total)

ival-exp: 4.0ms (25.1% of total)

ival-mult: 3.0ms (18.9% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.4944537850965021e-15	6708.09313554936
15.0ms	-9482249086.71326	-155.94839800552748

Results

21.0ms

304×

valid

Compiler

Compiled 430 to 313 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sin: 7.0ms (54.8% of total)

ival-exp: 3.0ms (23.5% of total)

ival-mult: 2.0ms (15.7% of total)

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000000016	+inf
0.0ms	0.0	1.8727132555480507e-68

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch53.0ms (0.9%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000000016	+inf
0.0ms	0.0	1.8727132555480507e-68

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch15.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.053134049154145e+37	1.9287458166599955e+44

Results

9.0ms

144×

valid

Compiler

Compiled 219 to 162 computations (26% saved)

Precisions

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

ival-sin: 3.0ms (55.3% of total)

ival-exp: 1.0ms (18.4% of total)

ival-mult: 1.0ms (18.4% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.191061592343818e+38	5.433896705626535e+41

Results

11.0ms

128×

valid

Compiler

Compiled 92 to 65 computations (29.3% saved)

Precisions

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

ival-sin: 6.0ms (75.6% of total)

ival-exp: 1.0ms (12.6% of total)

ival-mult: 1.0ms (12.6% of total)

const: 0.0ms (0% of total)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
7×	`+-commutative`
6×	`if-if-or-not`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	685
1	102	685

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -160 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 5188146770730811/576460752303423488 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 244999999999999989569025241726428023443808246993207457561892087155293080686057814165510911265079296 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 -160 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 7493989779944505/576460752303423488 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (sin.f64 im)) (*.f64 (exp.f64 re) im)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (*.f64 (exp.f64 re) im)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (sin.f64 im) (.f64 (exp.f64 re) im)))
(if (<=.f64 re #s(literal 40999999999999997754749412413473292288 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 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/2 binary64)))) im)
(*.f64 (+.f64 re #s(literal 1 binary64)) im)
(if (<=.f64 im #s(literal 899999999999999960849822479625725411328 binary64)) im (*.f64 re im))
im

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -160 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 5188146770730811/576460752303423488 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 244999999999999989569025241726428023443808246993207457561892087155293080686057814165510911265079296 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 -160 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 5188146770730811/576460752303423488 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 244999999999999989569025241726428023443808246993207457561892087155293080686057814165510911265079296 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 -160 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 7493989779944505/576460752303423488 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (sin.f64 im)) (*.f64 (exp.f64 re) im)))
(if (or (<=.f64 re #s(literal -160 binary64)) (not (<=.f64 re #s(literal 7493989779944505/576460752303423488 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 (exp.f64 re) #s(literal 0 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (*.f64 (exp.f64 re) im)))
(if (or (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 binary64)))) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (sin.f64 im) (.f64 (exp.f64 re) im)))
(if (or (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 binary64)))) (*.f64 (exp.f64 re) im) (sin.f64 im))
(if (<=.f64 re #s(literal 40999999999999997754749412413473292288 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 40999999999999997754749412413473292288 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 (+.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 (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/2 binary64)))) im)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/2 binary64)))))
(*.f64 (+.f64 re #s(literal 1 binary64)) im)
(*.f64 im (+.f64 re #s(literal 1 binary64)))
(if (<=.f64 im #s(literal 899999999999999960849822479625725411328 binary64)) im (*.f64 re im))
im

soundness219.0ms (3.7%)

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×	fuel
1×	node limit

Compiler

Compiled 275 to 108 computations (60.7% saved)

preprocess156.0ms (2.6%)

Remove: (negabs im)
Compiler: Compiled 488 to 196 computations (59.8% 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%)

sample1.0s (17.3%)

preprocess342.0ms (5.8%)

explain69.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize26.0ms (0.4%)

series6.0ms (0.1%)

rewrite293.0ms (5%)

simplify99.0ms (1.7%)

eval93.0ms (1.6%)

prune25.0ms (0.4%)

simplify41.0ms (0.7%)

localize277.0ms (4.7%)

series30.0ms (0.5%)

rewrite222.0ms (3.8%)

simplify247.0ms (4.2%)

eval100.0ms (1.7%)

prune112.0ms (1.9%)

simplify159.0ms (2.7%)

localize192.0ms (3.3%)

series21.0ms (0.4%)

rewrite196.0ms (3.3%)

simplify141.0ms (2.4%)

eval95.0ms (1.6%)

prune96.0ms (1.6%)

simplify192.0ms (3.3%)

localize339.0ms (5.7%)

series24.0ms (0.4%)

rewrite184.0ms (3.1%)

simplify219.0ms (3.7%)

eval109.0ms (1.8%)

prune110.0ms (1.9%)

regimes130.0ms (2.2%)

regimes33.0ms (0.6%)

regimes15.0ms (0.2%)

regimes15.0ms (0.3%)

regimes11.0ms (0.2%)

regimes17.0ms (0.3%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

bsearch46.0ms (0.8%)

bsearch33.0ms (0.6%)

bsearch0.0ms (0%)

bsearch53.0ms (0.9%)

bsearch15.0ms (0.3%)

bsearch16.0ms (0.3%)

simplify6.0ms (0.1%)

soundness219.0ms (3.7%)

preprocess156.0ms (2.6%)

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