Metrics for math.sin on complex, real part

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

Precisions

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

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

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

ival-add: 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)

sample1.4s (16.9%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 865.0ms

ival-mult: 404.0ms (46.7% of total)

ival-sin: 245.0ms (28.3% of total)

ival-exp: 106.0ms (12.3% of total)

ival-add: 48.0ms (5.5% of total)

ival-sub: 44.0ms (5.1% of total)

const: 16.0ms (1.8% of total)

backward-pass: 2.0ms (0.2% of total)

Bogosity

preprocess387.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

989×	`fma-neg`
725×	`fma-define`
264×	`times-frac`
215×	`distribute-lft-neg-in`
170×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	316
1	111	308
2	397	308
3	986	298
4	1988	294
5	3213	294
6	3708	294
7	4185	294
8	4839	294
9	4992	294
10	5009	294
11	5009	294
12	5041	294
13	5070	294
14	5070	294

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs im)

(negabs re)

explain113.0ms (1.4%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(exp.f64 (-.f64 #s(literal 0 binary64) im))`
-	-	`#s(literal 1/2 binary64)`
-	-	`re`
-	-	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
-	-	`(-.f64 #s(literal 0 binary64) im)`
-	-	`im`
-	-	`#s(literal 0 binary64)`
-	-	`(sin.f64 re)`
-	-	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
-	-	`(exp.f64 im)`
-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Results

70.0ms

512×

valid

Compiler

Compiled 96 to 35 computations (63.5% saved)

Precisions

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

ival-sin: 13.0ms (38.2% of total)

ival-mult: 8.0ms (23.5% of total)

ival-exp: 7.0ms (20.6% of total)

ival-add: 3.0ms (8.8% of total)

ival-sub: 2.0ms (5.9% of total)

const: 1.0ms (2.9% of total)

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

eval0.0ms (0%)

Compiler: Compiled 24 to 13 computations (45.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

50×	`fma-define`
26×	`associate-r`
20×	`associate-l`
16×	`*-commutative`
10×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	128
1	33	128
2	79	128
3	132	126
4	165	126
5	200	126
6	232	126
7	243	126
8	245	126
9	250	126
10	250	126

Stop Event

1×

saturated

Calls

Call 1

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

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

localize44.0ms (0.5%)

Localize:

Found 4 expressions of interest:

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

Results

31.0ms

256×

valid

Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions

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

ival-sin: 6.0ms (38.2% of total)

ival-mult: 4.0ms (25.4% of total)

ival-exp: 3.0ms (19.1% of total)

ival-add: 1.0ms (6.4% of total)

ival-neg: 1.0ms (6.4% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Counts

6 → 56

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))>
#<alt re>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (sin.f64 re)>
#<alt (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))>
#<alt (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (.f64 #s(literal 1/24 binary64) (sin.f64 re)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) im)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>

Calls

21 calls:

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

rewrite330.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

100×	`associate-r`
90×	`add-exp-log`
90×	`add-log-exp`
90×	`log1p-expm1-u`
90×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	202	85
2	3306	85

Stop Event

1×

unsound

Counts

6 → 72

Calls

Call 1

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

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

simplify93.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

857×	`fma-define`
623×	`associate-*r/`
563×	`associate-*l/`
360×	`distribute-lft-in`
357×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	3171
1	587	2901
2	1881	2707
3	5470	2672

Stop Event

1×	node limit

Counts

128 → 147

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) re)
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (.f64 #s(literal 1/24 binary64) (sin.f64 re)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(+.f64 (sin.f64 re) (sin.f64 re))
(+.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64)))
(fma.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (sin.f64 re) #s(literal -2 binary64)))
(-.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal 1 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 re))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re))) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal 1 binary64))
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal 1 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (sin.f64 re) (sin.f64 re))
(+.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64)))
(fma.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (sin.f64 re) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(literal 3 binary64)

Outputs
(*.f64 #s(literal 1/2 binary64) re)
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
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re
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(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (sin.f64 re) (sin.f64 re))
(*.f64 #s(literal 2 binary64) (sin.f64 re))
(+.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64)))
(*.f64 (sin.f64 re) #s(literal -4 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(sin.f64 re)
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(/.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64)))))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(*.f64 (fabs.f64 (sin.f64 re)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fabs.f64 (sin.f64 re)))
(log.f64 (pow.f64 #s(literal 1 binary64) (sin.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(cbrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(exp.f64 (+.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (exp.f64 #s(literal -2 binary64)))
(.f64 (sin.f64 re) (.f64 #s(literal -2 binary64) (exp.f64 #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64)))
(*.f64 (sin.f64 re) #s(literal -4 binary64))
(fma.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (sin.f64 re) #s(literal -2 binary64)))
(*.f64 (sin.f64 re) #s(literal -4 binary64))
(-.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) re))))
(-.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 re #s(literal -2 binary64)))))
(+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 re #s(literal -2 binary64)))))
(fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 re #s(literal -2 binary64))) #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal 1 binary64))
(sin.f64 re)
(*.f64 (sin.f64 re) (sin.f64 re))
(pow.f64 (sin.f64 re) #s(literal 2 binary64))
(*.f64 (sin.f64 re) #s(literal 1 binary64))
(sin.f64 re)
(*.f64 #s(literal 1 binary64) (sin.f64 re))
(sin.f64 re)
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) re))) #s(literal -2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 re #s(literal 2 binary64))) #s(literal -2 binary64)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (sin.f64 re) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal 1 binary64))
(sin.f64 re)
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(cbrt.f64 (sin.f64 re))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(sin.f64 re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 re))))
(sin.f64 re)
(cbrt.f64 (sin.f64 re))
(expm1.f64 (log1p.f64 (sin.f64 re)))
(sin.f64 re)
(log1p.f64 (expm1.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (log.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal 1 binary64)))
(sin.f64 re)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (sin.f64 re) (sin.f64 re))
(*.f64 #s(literal 2 binary64) (sin.f64 re))
(+.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64)))
(*.f64 (sin.f64 re) #s(literal -4 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(sin.f64 re)
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(/.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64)))))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(*.f64 (fabs.f64 (sin.f64 re)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fabs.f64 (sin.f64 re)))
(log.f64 (pow.f64 #s(literal 1 binary64) (sin.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(cbrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(*.f64 (sin.f64 re) #s(literal -2 binary64))
(exp.f64 (+.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) (exp.f64 #s(literal -2 binary64)))
(.f64 (sin.f64 re) (.f64 #s(literal -2 binary64) (exp.f64 #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 re) #s(literal -2 binary64)) (.f64 (sin.f64 re) #s(literal -2 binary64)))
(*.f64 (sin.f64 re) #s(literal -4 binary64))
(fma.f64 (.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (sin.f64 re) #s(literal -2 binary64)))
(*.f64 (sin.f64 re) #s(literal -4 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)

eval21.0ms (0.3%)

Compiler: Compiled 2482 to 564 computations (77.3% saved)

prune22.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	142	5	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	5	148

Accuracy

100.0%

Counts

148 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.5%	(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))
▶	78.2%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
▶	98.9%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
▶	59.6%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	54.0%	(sin.f64 re)

Compiler

Compiled 112 to 80 computations (28.6% saved)

simplify234.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))
	cost-diff	0	(sin.f64 re)
✓	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
✓	cost-diff	128	(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))
✓	cost-diff	0	(neg.f64 im)
	cost-diff	0	(exp.f64 (neg.f64 im))
	cost-diff	0	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) re)
✓	cost-diff	-6336	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 im im #s(literal 2 binary64))
	cost-diff	0	(sin.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
	cost-diff	0	(sin.f64 re)
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 im))
	cost-diff	0	(sin.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Rules

1742×	`fma-define`
1205×	`associate-r`
789×	`associate-l`
595×	`distribute-lft-in`
379×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	441
1	78	441
2	198	438
3	470	425
4	1132	425
5	1878	425
6	2352	425
7	2709	425
8	3016	425
9	3195	425
10	3291	425
11	3472	425
12	4542	425
13	4544	425
14	5051	425
15	5051	425
16	5051	425
17	5051	425
18	7170	425

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(+.f64 #s(literal 1 binary64) (exp.f64 im))
#s(literal 1 binary64)
(exp.f64 im)
im
(sin.f64 re)
re
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(sin.f64 re)
re
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(+.f64 #s(literal 1 binary64) (exp.f64 im))
#s(literal 1 binary64)
(exp.f64 im)
im
(sin.f64 re)
re
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (sin.f64 re))
(.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))))
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(sin.f64 re)
re
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)

localize121.0ms (1.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(sin.f64 re)
✓	accuracy	99.9%	(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))
✓	accuracy	99.6%	(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))
✓	accuracy	93.7%	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
	accuracy	100.0%	(exp.f64 (neg.f64 im))
	accuracy	100.0%	(exp.f64 im)
	accuracy	100.0%	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	accuracy	100.0%	(fma.f64 im im #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
	accuracy	100.0%	(sin.f64 re)
✓	accuracy	93.7%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
	accuracy	100.0%	(sin.f64 re)
	accuracy	100.0%	(sin.f64 re)
	accuracy	100.0%	(exp.f64 im)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 im))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))

Results

76.0ms

256×

valid

Compiler

Compiled 131 to 24 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 12.0ms (28.4% of total)

ival-sin: 7.0ms (16.5% of total)

ival-add: 6.0ms (14.2% of total)

ival-fma: 5.0ms (11.8% of total)

...c/correct-round.rkt:121:19: 4.0ms (9.5% of total)

ival-exp: 3.0ms (7.1% of total)

ival-pow: 3.0ms (7.1% of total)

const: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

series46.0ms (0.5%)

Counts

11 → 160

Calls

Call 1

Inputs
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 im))>
#<alt (fma.f64 im im #s(literal 2 binary64))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (neg.f64 im)>
#<alt (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))>

Outputs
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) im)>
#<alt (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/240 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (sin.f64 re)>
#<alt (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (sin.f64 re)>
#<alt (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))>
#<alt (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/6 binary64))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))) #s(literal 1/6 binary64))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/5040 binary64))))))) #s(literal 1/6 binary64))))))>
#<alt (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im))))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (.f64 #s(literal 1/240 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (sin.f64 re)>
#<alt (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))>
#<alt (+.f64 (sin.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (sin.f64 re))) (.f64 #s(literal 1/4 binary64) (sin.f64 re)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt re>
#<alt (+.f64 re (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/2 binary64) re))))>
#<alt (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/24 binary64) re))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	im	@	-inf	(* (* 1/2 (sin re)) (+ (* im im) 2))
3.0ms	re	@	-inf	(* (* 1/2 (sin re)) (+ 1 (exp im)))
2.0ms	re	@	inf	(* (* 1/2 (sin re)) (+ (* im im) 2))
1.0ms	re	@	0	(+ (* (pow im 2) (* (sin re) (+ (* (pow im 2) 1/24) 1/2))) (sin re))
1.0ms	re	@	inf	(+ (* (pow im 2) (* (sin re) (+ (* (pow im 2) 1/24) 1/2))) (sin re))

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

233×	`associate-r`
200×	`log1p-expm1-u`
200×	`expm1-log1p-u`
199×	`add-exp-log`
199×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	226
1	451	226
2	7549	226

Stop Event

1×

unsound

Counts

11 → 239

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (exp.f64 im))
(fma.f64 im im #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) re)
(neg.f64 im)
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))

Outputs
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 (sin.f64 re) (sin.f64 re))
(-.f64 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -8 binary64))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -8 binary64)))
(fma.f64 #s(literal -8 binary64) (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(fma.f64 (sin.f64 re) (sin.f64 re) (sin.f64 re))
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal -8 binary64))
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(/.f64 (-.f64 re re) (-.f64 re re))
(pow.f64 re #s(literal -8 binary64))
(pow.f64 re #s(literal 1/3 binary64))
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 re)))
(cbrt.f64 re)
re
(expm1.f64 (log1p.f64 re))
(log1p.f64 (expm1.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
(fma.f64 #s(literal -8 binary64) re re)
(fma.f64 re #s(literal -8 binary64) re)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 (sin.f64 re) (sin.f64 re))
(-.f64 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -8 binary64))
(*.f64 #s(literal -8 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -8 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -8 binary64)))
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 (sin.f64 re) (sin.f64 re))
(-.f64 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -8 binary64))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -8 binary64)))
(fma.f64 #s(literal -8 binary64) (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(fma.f64 (sin.f64 re) (sin.f64 re) (sin.f64 re))
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal -8 binary64))
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(/.f64 (-.f64 re re) (-.f64 re re))
(pow.f64 re #s(literal -8 binary64))
(pow.f64 re #s(literal 1/3 binary64))
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 re)))
(cbrt.f64 re)
re
(expm1.f64 (log1p.f64 re))
(log1p.f64 (expm1.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
(fma.f64 #s(literal -8 binary64) re re)
(fma.f64 re #s(literal -8 binary64) re)
(+.f64 (sin.f64 re) (sin.f64 re))
(-.f64 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -8 binary64))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -8 binary64)))
(fma.f64 #s(literal -8 binary64) (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(fma.f64 (sin.f64 re) (sin.f64 re) (sin.f64 re))

simplify166.0ms (2%)

Algorithm

1×	egg-herbie

Rules

866×	`associate-+l+`
781×	`associate-+r+`
548×	`times-frac`
517×	`fma-neg`
370×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	293	8041
1	932	7449
2	3301	7243
3	6831	7239

Stop Event

1×	node limit

Counts

399 → 217

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) im)
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(pow.f64 im #s(literal 2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/240 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/6 binary64))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))) #s(literal 1/6 binary64))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/5040 binary64))))))) #s(literal 1/6 binary64))))))
(+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im))))))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))) (.f64 #s(literal 1/240 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (sin.f64 re))))
(+.f64 (sin.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(+.f64 (sin.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (sin.f64 re))) (.f64 #s(literal 1/4 binary64) (sin.f64 re)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
re
(+.f64 re (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/2 binary64) re))))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/24 binary64) re))))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 (sin.f64 re) (sin.f64 re))
(-.f64 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -8 binary64))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -8 binary64)))
(fma.f64 #s(literal -8 binary64) (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(fma.f64 (sin.f64 re) (sin.f64 re) (sin.f64 re))
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal -8 binary64))
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(/.f64 (-.f64 re re) (-.f64 re re))
(pow.f64 re #s(literal -8 binary64))
(pow.f64 re #s(literal 1/3 binary64))
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 re)))
(cbrt.f64 re)
(expm1.f64 (log1p.f64 re))
(log1p.f64 (expm1.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
(fma.f64 #s(literal -8 binary64) re re)
(fma.f64 re #s(literal -8 binary64) re)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 (sin.f64 re) (sin.f64 re))
(-.f64 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -8 binary64))
(*.f64 #s(literal -8 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -8 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -8 binary64)))
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 (sin.f64 re) (sin.f64 re))
(-.f64 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -8 binary64))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -8 binary64)))
(fma.f64 #s(literal -8 binary64) (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(fma.f64 (sin.f64 re) (sin.f64 re) (sin.f64 re))
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal -8 binary64))
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(/.f64 (-.f64 re re) (-.f64 re re))
(pow.f64 re #s(literal -8 binary64))
(pow.f64 re #s(literal 1/3 binary64))
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 re)))
(cbrt.f64 re)
(expm1.f64 (log1p.f64 re))
(log1p.f64 (expm1.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
(fma.f64 #s(literal -8 binary64) re re)
(fma.f64 re #s(literal -8 binary64) re)
(+.f64 (sin.f64 re) (sin.f64 re))
(-.f64 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -8 binary64))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -8 binary64)))
(fma.f64 #s(literal -8 binary64) (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(fma.f64 (sin.f64 re) (sin.f64 re) (sin.f64 re))

Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) im)
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
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(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -8 binary64))
(+.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal 8 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)) #s(literal 8 binary64))
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(*.f64 (sin.f64 re) #s(literal -1/8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
#s(literal 1 binary64)
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 re)) #s(literal -8 binary64))
(-.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 re) #s(literal -8 binary64)))
(+.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 re) #s(literal 8 binary64)))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
#s(literal 1 binary64)
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(cbrt.f64 (sin.f64 re))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(sin.f64 re)
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(sin.f64 re)
(log1p.f64 (expm1.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (log.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -8 binary64)))
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(fma.f64 #s(literal -8 binary64) (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(*.f64 #s(literal -7 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -7 binary64))
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(*.f64 #s(literal -7 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -7 binary64))
(fma.f64 (sin.f64 re) (sin.f64 re) (sin.f64 re))
(*.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)) (sin.f64 re))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(+.f64 re re)
(*.f64 #s(literal 2 binary64) re)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal -8 binary64))
(+.f64 (exp.f64 (log1p.f64 re)) #s(literal 8 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 8 binary64))
(+.f64 re #s(literal 9 binary64))
(/.f64 re #s(literal -8 binary64))
(*.f64 re #s(literal -1/8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
#s(literal 1 binary64)
(/.f64 (-.f64 re re) (-.f64 re re))
#s(literal 1 binary64)
(pow.f64 re #s(literal -8 binary64))
(pow.f64 re #s(literal 1/3 binary64))
(cbrt.f64 re)
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
re
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 re)))
(cbrt.f64 re)
(expm1.f64 (log1p.f64 re))
re
(log1p.f64 (expm1.f64 re))
re
(exp.f64 (log.f64 re))
re
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
(pow.f64 re #s(literal -8 binary64))
(fma.f64 #s(literal -8 binary64) re re)
(*.f64 #s(literal -7 binary64) re)
(*.f64 re #s(literal -7 binary64))
(fma.f64 re #s(literal -8 binary64) re)
(fma.f64 #s(literal -8 binary64) re re)
(*.f64 #s(literal -7 binary64) re)
(*.f64 re #s(literal -7 binary64))
(+.f64 (sin.f64 re) (sin.f64 re))
(*.f64 #s(literal 2 binary64) (sin.f64 re))
(-.f64 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) (cos.f64 re)))
(+.f64 #s(literal -8 binary64) (*.f64 #s(literal 8 binary64) (cos.f64 re)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal -8 binary64))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -8 binary64))
(+.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal 8 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)) #s(literal 8 binary64))
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(*.f64 (sin.f64 re) #s(literal -1/8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
#s(literal 1 binary64)
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 re)) #s(literal -8 binary64))
(-.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 re) #s(literal -8 binary64)))
(+.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 re) #s(literal 8 binary64)))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
#s(literal 1 binary64)
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(cbrt.f64 (sin.f64 re))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(sin.f64 re)
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(sin.f64 re)
(log1p.f64 (expm1.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (log.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -8 binary64)))
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(fma.f64 #s(literal -8 binary64) (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(*.f64 #s(literal -7 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -7 binary64))
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(*.f64 #s(literal -7 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -7 binary64))
(fma.f64 (sin.f64 re) (sin.f64 re) (sin.f64 re))
(*.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)) (sin.f64 re))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (sin.f64 re)))

eval160.0ms (1.9%)

Compiler: Compiled 8203 to 1285 computations (84.3% saved)

prune90.0ms (1.1%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	510	16	526
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	512	19	531

Accuracy

100.0%

Counts

531 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.1%	(+.f64 (sin.f64 re) #s(literal 9 binary64))
	49.0%	(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/2 binary64) re))))
▶	83.8%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
	77.4%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
▶	54.4%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
✓	98.9%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
	10.5%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 8 binary64))
	34.6%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	59.6%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	58.8%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
	5.8%	(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
	2.6%	(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
	37.3%	(.f64 (sin.f64 re) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
	29.7%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))
	11.3%	(*.f64 #s(literal 2 binary64) (sin.f64 re))
	45.3%	(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
▶	37.3%	(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
✓	54.0%	(sin.f64 re)
▶	23.5%	re

Compiler

Compiled 377 to 287 computations (23.9% saved)

simplify177.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(sin.f64 re)
✓	cost-diff	0	(pow.f64 im #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re))
✓	cost-diff	0	(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
✓	cost-diff	-6272	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) im)
	cost-diff	0	(sin.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
	cost-diff	0	(sin.f64 re)
✓	cost-diff	0	(+.f64 (sin.f64 re) #s(literal 9 binary64))
✓	cost-diff	-6272	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))
✓	cost-diff	0	(*.f64 im #s(literal 1/6 binary64))
	cost-diff	0	(sin.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Rules

1479×	`distribute-lft-in`
1331×	`distribute-rgt-in`
630×	`associate-+r+`
483×	`*-commutative`
454×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	449
1	76	401
2	216	401
3	574	397
4	1890	397
5	4180	397
6	5378	397
7	5436	397
8	5436	397
9	5868	397
10	6222	397
11	6230	397
12	6230	397

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))
#s(literal 2 binary64)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
im
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))
#s(literal 1 binary64)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))
(*.f64 im #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
re
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(sin.f64 re)
re
#s(literal 9 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(+.f64 #s(literal 2 binary64) im)
#s(literal 2 binary64)
im
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
#s(literal 1/24 binary64)
(*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re))
(pow.f64 im #s(literal 4 binary64))
im
#s(literal 4 binary64)
(sin.f64 re)
re

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
im
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))
(fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 im #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
re
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(sin.f64 re)
re
#s(literal 9 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) im)))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(+.f64 #s(literal 2 binary64) im)
#s(literal 2 binary64)
im
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))
(.f64 (sin.f64 re) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
#s(literal 1/24 binary64)
(*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 im #s(literal 4 binary64))
im
#s(literal 4 binary64)
(sin.f64 re)
re

localize227.0ms (2.7%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 im #s(literal 4 binary64))
	accuracy	100.0%	(sin.f64 re)
✓	accuracy	99.5%	(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
✓	accuracy	96.7%	(*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) im)
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
	accuracy	100.0%	(sin.f64 re)
✓	accuracy	99.9%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
	accuracy	100.0%	(sin.f64 re)
✓	accuracy	100.0%	(+.f64 (sin.f64 re) #s(literal 9 binary64))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 im #s(literal 1/6 binary64))
✓	accuracy	96.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))

Results

196.0ms

256×

valid

Compiler

Compiled 134 to 25 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-sin: 115.0ms (75.9% of total)

ival-mult: 13.0ms (8.6% of total)

...c/correct-round.rkt:121:19: 9.0ms (5.9% of total)

ival-pow: 7.0ms (4.6% of total)

ival-add: 6.0ms (4% of total)

const: 1.0ms (0.7% of total)

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

series33.0ms (0.4%)

Counts

10 → 113

Calls

Call 1

Inputs
#<alt (*.f64 im #s(literal 1/6 binary64))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))>
#<alt (+.f64 (sin.f64 re) #s(literal 9 binary64))>
#<alt (+.f64 #s(literal 2 binary64) im)>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re))>
#<alt (pow.f64 im #s(literal 4 binary64))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))>

Outputs
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt #s(literal 9 binary64)>
#<alt (+.f64 #s(literal 9 binary64) re)>
#<alt (+.f64 #s(literal 9 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 9 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))>
#<alt (+.f64 #s(literal 9 binary64) (sin.f64 re))>
#<alt (+.f64 #s(literal 9 binary64) (sin.f64 re))>
#<alt (+.f64 #s(literal 9 binary64) (sin.f64 re))>
#<alt (+.f64 #s(literal 9 binary64) (sin.f64 re))>
#<alt (+.f64 #s(literal 9 binary64) (sin.f64 re))>
#<alt (+.f64 #s(literal 9 binary64) (sin.f64 re))>
#<alt (+.f64 #s(literal 9 binary64) (sin.f64 re))>
#<alt (+.f64 #s(literal 9 binary64) (sin.f64 re))>
#<alt #s(literal 2 binary64)>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) im)))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) im)) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im)))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/240 binary64) (+.f64 #s(literal 2 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) im)))>
#<alt (sin.f64 re)>
#<alt (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (sin.f64 re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) im)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) im)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (.f64 #s(literal -1/2 binary64) (sin.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (.f64 #s(literal -1/2 binary64) (sin.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (.f64 #s(literal -1/2 binary64) (sin.f64 re)))))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/144 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2880 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/120960 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/2880 binary64) (pow.f64 im #s(literal 4 binary64)))))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) re)>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))))>
#<alt (.f64 re (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 im #s(literal 4 binary64))))>
#<alt (.f64 re (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 4 binary64))))))) (pow.f64 im #s(literal 4 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))) (.f64 #s(literal 1/240 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))))))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (sin.f64 re)>
#<alt (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))>
#<alt (+.f64 (sin.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (sin.f64 re))) (.f64 #s(literal 1/4 binary64) (sin.f64 re)))))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 re)) (*.f64 #s(literal 1/4 binary64) (/.f64 (sin.f64 re) im))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 re)) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sin.f64 re) im)) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 re)) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sin.f64 re) im)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 re) im)) (.f64 #s(literal -1/12 binary64) (sin.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (sin.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im))) im)) (.f64 #s(literal -1/12 binary64) (sin.f64 re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #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 (sin.f64 re) im)) (.f64 #s(literal -1/2 binary64) (sin.f64 re))) im)) (.f64 #s(literal 1/4 binary64) (sin.f64 re))) im)) (.f64 #s(literal -1/12 binary64) (sin.f64 re)))))>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 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 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)) #s(literal 1/6 binary64))))>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(* (* 1/2 (sin re)) (+ 2 (* im (+ 1 (* im (+ 1/2 (* im 1/6)))))))
1.0ms	re	@	0	(* (* 1/2 (sin re)) (+ 2 (* im (+ 1 (* im (+ 1/2 (* im 1/6)))))))
1.0ms	re	@	inf	(* 1/24 (* (pow im 4) (sin re)))
1.0ms	im	@	0	(* 1/24 (* (pow im 4) (sin re)))
1.0ms	re	@	-inf	(* (* 1/2 (sin re)) (+ 2 (* im (+ 1 (* im (+ 1/2 (* im 1/6)))))))

rewrite224.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`log1p-expm1-u`
237×	`associate-r`
205×	`expm1-log1p-u`
199×	`add-cube-cbrt`
198×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	255
1	445	231
2	6591	231

Stop Event

1×	node limit

Counts

10 → 223

Calls

Call 1

Inputs
(*.f64 im #s(literal 1/6 binary64))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(+.f64 #s(literal 2 binary64) im)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re))
(pow.f64 im #s(literal 4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))

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

simplify205.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

667×	`associate-r`
594×	`associate-l`
487×	`fma-define`
444×	`fma-neg`
325×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	722	12471
1	1963	11783
2	7234	11775

Stop Event

1×	node limit

Counts

336 → 425

Calls

Call 1

Inputs
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(literal 9 binary64)
(+.f64 #s(literal 9 binary64) re)
(+.f64 #s(literal 9 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 #s(literal 9 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
#s(literal 2 binary64)
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) im)))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) im)) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im)))))))
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(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (-.f64 #s(literal 2 binary64) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (.f64 (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 2 binary64) (.f64 im (.f64 (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(+.f64 im (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(+.f64 im (.f64 (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) im)
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 im (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (-.f64 im (.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (.f64 im (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) im) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) im) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #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 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1 binary64) (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) im (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 im) (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))

Outputs
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 im #s(literal 1/2 binary64))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
(*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
(*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
(*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
#s(literal 9 binary64)
(+.f64 #s(literal 9 binary64) re)
(+.f64 #s(literal 9 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 re (fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 9 binary64))
(+.f64 #s(literal 9 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(+.f64 #s(literal 9 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))))
(fma.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 9 binary64))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
(+.f64 #s(literal 9 binary64) (sin.f64 re))
#s(literal 2 binary64)
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) im)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) im)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) im)))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) im)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) im)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) im)))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) im)))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 im #s(literal 2 binary64))))
(*.f64 re (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))
(.f64 re (fma.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64)))))
(.f64 re (.f64 (+.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) im)) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im)))))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (+.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (+.f64 im #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im #s(literal 2 binary64))) #s(literal 1/240 binary64))))))
(.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64)))) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/240 binary64) (+.f64 #s(literal 2 binary64) im))))))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (+.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (+.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/240 binary64) im))))))))
(.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64)) #s(literal 1/240 binary64))) (+.f64 #s(literal -1/6 binary64) (.f64 im #s(literal -1/12 binary64)))) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))
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(*.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1 binary64) (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) im (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 im) (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 im) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 im) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)))

eval127.0ms (1.5%)

Compiler: Compiled 11629 to 2133 computations (81.7% saved)

prune104.0ms (1.2%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	645	12	657
Fresh	3	8	11
Picked	4	1	5
Done	0	3	3
Total	652	24	676

Accuracy

100.0%

Counts

676 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/2 binary64) re))))
	3.6%	(+.f64 re #s(literal 9 binary64))
	44.7%	(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
▶	30.8%	(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))
	40.7%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
	11.3%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
▶	77.4%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
✓	98.9%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
	5.1%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) im)
	34.6%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	59.6%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	48.6%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
	29.5%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
	58.8%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
	2.6%	(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
	37.3%	(.f64 (sin.f64 re) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
	30.8%	(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))
	29.7%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))
	32.0%	(.f64 re (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
▶	45.3%	(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
	32.0%	(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re))
✓	54.0%	(sin.f64 re)
✓	23.5%	re
▶	5.1%	#s(literal 9 binary64)

Compiler

Compiled 542 to 399 computations (26.4% saved)

simplify218.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))
	cost-diff	0	(+.f64 #s(literal 2 binary64) im)
✓	cost-diff	0	(pow.f64 re #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))
	cost-diff	0	(fma.f64 im im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 im im #s(literal 2 binary64)) re)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))
	cost-diff	-6272	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))
	cost-diff	0	(*.f64 im #s(literal 1/6 binary64))
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) re)
✓	cost-diff	-6144	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
✓	cost-diff	0	(*.f64 im #s(literal 1/2 binary64))
	cost-diff	0	(sin.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Rules

1167×	`distribute-lft-in`
1121×	`associate-r`
1053×	`distribute-rgt-in`
748×	`fma-define`
576×	`associate-+r+`

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	39	642
1	114	558
2	368	558
3	1133	558
4	2646	558
5	3887	558
6	4711	558
7	4845	558
8	4868	558
9	4868	558
10	5638	558
11	6846	558
12	6850	558
13	6850	558
14	6995	556

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
im
(+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 im #s(literal 1/2 binary64))
#s(literal 9 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))
#s(literal 2 binary64)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
im
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))
#s(literal 1 binary64)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))
(*.f64 im #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
#s(literal 1/2 binary64)
(*.f64 (fma.f64 im im #s(literal 2 binary64)) re)
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
re
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
re
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/12 binary64)
(pow.f64 re #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) im)
im

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (sin.f64 re) (fma.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))
im
(+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 im #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
#s(literal 9 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 re (fma.f64 im (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 re (fma.f64 (.f64 #s(literal 1/2 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
im
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))
(fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 im #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
(.f64 #s(literal 1/2 binary64) (.f64 re (fma.f64 im im #s(literal 2 binary64))))
(.f64 re (.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(*.f64 (fma.f64 im im #s(literal 2 binary64)) re)
(*.f64 re (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
re
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))
(.f64 re (.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) im)))
(.f64 re (.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) im)))
(.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 re (+.f64 #s(literal 2 binary64) im)))
(.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) re)) (+.f64 #s(literal 2 binary64) im))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) re))
re
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/12 binary64)
(pow.f64 re #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) im)
im

localize203.0ms (2.4%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
✓	accuracy	99.1%	(*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))
	accuracy	100.0%	(fma.f64 im im #s(literal 2 binary64))
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
✓	accuracy	93.7%	(*.f64 (fma.f64 im im #s(literal 2 binary64)) re)
	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))
	accuracy	99.5%	(*.f64 im #s(literal 1/6 binary64))
✓	accuracy	96.7%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
	accuracy	100.0%	(sin.f64 re)
✓	accuracy	100.0%	(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
✓	accuracy	93.7%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))

Results

97.0ms

256×

valid

Compiler

Compiled 194 to 33 computations (83% saved)

Precisions

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

ival-mult: 23.0ms (42.6% of total)

ival-add: 9.0ms (16.7% of total)

...c/correct-round.rkt:121:19: 8.0ms (14.8% of total)

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

ival-fma: 4.0ms (7.4% of total)

ival-pow: 3.0ms (5.6% of total)

const: 1.0ms (1.9% of total)

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

series64.0ms (0.8%)

Counts

12 → 174

Calls

Call 1

Inputs
#<alt (*.f64 im #s(literal 1/2 binary64))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))>
#<alt (*.f64 (fma.f64 im im #s(literal 2 binary64)) re)>
#<alt (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (.f64 #s(literal 1/240 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (sin.f64 re)>
#<alt (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))>
#<alt (+.f64 (sin.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (.f64 #s(literal -1/2 binary64) (sin.f64 re))) im)) (*.f64 #s(literal 1/4 binary64) (sin.f64 re))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (.f64 #s(literal -1/2 binary64) (sin.f64 re))) im)) (*.f64 #s(literal 1/4 binary64) (sin.f64 re))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (.f64 im (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 im (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 im (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal 1/6 binary64) im)>
#<alt (.f64 im (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 im (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 im (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt re>
#<alt (+.f64 re (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (+.f64 (.f64 #s(literal 2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) im)))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))>
#<alt (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) im)))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) im) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) im) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) im) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) im)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) im) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/12 binary64) (+.f64 #s(literal 2 binary64) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) im) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/12 binary64) (+.f64 #s(literal 2 binary64) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) im) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/12 binary64) (+.f64 #s(literal 2 binary64) im)))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))) (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))) (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))) (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) im)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) im)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) im)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 im (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) im)) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) im)) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) im)) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))>
#<alt re>
#<alt (+.f64 re (.f64 #s(literal 1/2 binary64) (.f64 im re)))>
#<alt (+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))>
#<alt (+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im re)) (.f64 #s(literal 1/4 binary64) re))))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) re))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) re) (*.f64 #s(literal 1/4 binary64) (/.f64 re im))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) re) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 re im)) (.f64 #s(literal 1/2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) re) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 re im)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 re (pow.f64 im #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 re im)) (.f64 #s(literal -1/12 binary64) re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) re) (.f64 #s(literal 1/2 binary64) (/.f64 re im))) im)) (.f64 #s(literal -1/12 binary64) re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #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 re im)) (.f64 #s(literal -1/2 binary64) re)) im)) (.f64 #s(literal 1/4 binary64) re)) im)) (.f64 #s(literal -1/12 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
#<alt (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
#<alt (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>

Calls

51 calls:

Time	Variable		Point	Expression
33.0ms	re	@	0	(* (* 1/2 (sin re)) (+ 2 (* im (+ 1 (* im 1/2)))))
3.0ms	re	@	0	(* (* 1/2 re) (+ 2 (* im (+ 1 (* im (+ 1/2 (* im 1/6)))))))
1.0ms	re	@	inf	(* (* 1/2 (sin re)) (+ 2 (* im (+ 1 (* im 1/2)))))
1.0ms	im	@	-inf	(* (* re (+ 1/2 (* -1/12 (pow re 2)))) (+ 2 im))
1.0ms	im	@	0	(* (* re (+ 1/2 (* -1/12 (pow re 2)))) (+ 2 im))

rewrite121.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

306×	`log1p-expm1-u`
306×	`expm1-log1p-u`
300×	`add-cube-cbrt`
299×	`add-exp-log`
299×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	341
1	655	301

Stop Event

1×	node limit

Counts

12 → 261

Calls

Call 1

Inputs
(*.f64 im #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
(*.f64 (fma.f64 im im #s(literal 2 binary64)) re)
(*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))

Outputs
(-.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (-.f64 (.f64 (.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (.f64 (.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sin.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 (.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))))
(*.f64 #s(literal 1 binary64) (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64))) (cbrt.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 re (sqrt.f64 #s(literal -1/12 binary64))) (.f64 re (sqrt.f64 #s(literal -1/12 binary64))) #s(literal 1/2 binary64))

simplify407.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

515×	`fma-define`
484×	`fma-neg`
385×	`*-commutative`
335×	`distribute-rgt-in`
324×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	823	17358
1	2464	16085
2	6877	16047

Stop Event

1×	node limit

Counts

435 → 454

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (.f64 #s(literal 1/240 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (sin.f64 re))))
(+.f64 (sin.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(+.f64 (sin.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (.f64 #s(literal -1/2 binary64) (sin.f64 re))) im)) (*.f64 #s(literal 1/4 binary64) (sin.f64 re))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (.f64 #s(literal -1/2 binary64) (sin.f64 re))) im)) (*.f64 #s(literal 1/4 binary64) (sin.f64 re))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))
(*.f64 #s(literal 1/6 binary64) im)
(.f64 im (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 im (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 im (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/6 binary64) im)
(.f64 im (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 im (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 im (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
re
(+.f64 re (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) re)
(+.f64 (.f64 #s(literal 2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) re))
(+.f64 (.f64 #s(literal 2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) re))
(+.f64 (.f64 #s(literal 2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) re)
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) re)
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) im)))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) im)))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) im) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) im) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) im) (pow.f64 re #s(literal 2 binary64))))))
(.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) im)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) im) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/12 binary64) (+.f64 #s(literal 2 binary64) im)))))
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(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64))) (cbrt.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 re (sqrt.f64 #s(literal -1/12 binary64))) (.f64 re (sqrt.f64 #s(literal -1/12 binary64))) #s(literal 1/2 binary64))

Outputs
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) im)
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 re (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) re))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))))
(.f64 re (fma.f64 #s(literal -1/12 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 re (.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/240 binary64))))))
(.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64)))) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (.f64 #s(literal 1/240 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))))))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/240 binary64))))))))
(.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64)) #s(literal 1/240 binary64))) (.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (sin.f64 re)))
(.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 im (sin.f64 re))))
(+.f64 (sin.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) im) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (sin.f64 re))
(+.f64 (sin.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(+.f64 (sin.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(fma.f64 im (.f64 (sin.f64 re) (+.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))
(+.f64 (sin.f64 re) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(+.f64 (sin.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(fma.f64 im (.f64 (sin.f64 re) (+.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))
(.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))
(.f64 (sin.f64 re) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (sin.f64 re) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im) (.f64 (sin.f64 re) #s(literal 1/4 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (sin.f64 re) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (sin.f64 re) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) im) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))
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(fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64))) (cbrt.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 re (sqrt.f64 #s(literal -1/12 binary64))) (.f64 re (sqrt.f64 #s(literal -1/12 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))

eval134.0ms (1.6%)

Compiler: Compiled 14497 to 2955 computations (79.6% saved)

prune226.0ms (2.7%)

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	708	12	720
Fresh	5	10	15
Picked	3	2	5
Done	0	4	4
Total	716	28	744

Accuracy

100.0%

Counts

744 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/2 binary64) re))))
	38.3%	(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
	3.6%	(+.f64 re #s(literal 9 binary64))
	29.4%	(.f64 (/.f64 re (+.f64 re (-.f64 re re))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
	9.4%	(.f64 (/.f64 re #s(literal -8 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
	31.4%	(.f64 (+.f64 re re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
	28.9%	(.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
	44.7%	(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
	41.7%	(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))))
	30.7%	(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) im))))
	30.8%	(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
	9.4%	(.f64 (.f64 re #s(literal -7 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
✓	98.9%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
	34.6%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓	59.6%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	48.6%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
	44.5%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
	29.5%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
	58.8%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
	2.6%	(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
	37.3%	(.f64 (sin.f64 re) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
	32.0%	(.f64 re (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
✓	45.3%	(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
	32.0%	(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re))
	10.3%	(.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 im #s(literal 2 binary64))))
✓	54.0%	(sin.f64 re)
✓	23.5%	re
✓	5.1%	#s(literal 9 binary64)

Compiler

Compiled 909 to 422 computations (53.6% saved)

regimes176.0ms (2.1%)

Counts

47 → 1

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re #s(literal -7 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re #s(literal -8 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re (+.f64 re (-.f64 re re))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(sin.f64 re)
(*.f64 #s(literal 2 binary64) (sin.f64 re))
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 8 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) im)
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re))
(.f64 re (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 im #s(literal 2 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) im))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(.f64 (sin.f64 re) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/2 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))

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

Calls

6 calls:

67.0ms	im
55.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
14.0ms	re
13.0ms	(sin.f64 re)
12.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
100.0%	1	`(sin.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes62.0ms (0.7%)

Counts

44 → 1

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re #s(literal -7 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re #s(literal -8 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re (+.f64 re (-.f64 re re))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(sin.f64 re)
(*.f64 #s(literal 2 binary64) (sin.f64 re))
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 8 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) im)
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re))
(.f64 re (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 im #s(literal 2 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) im))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(.f64 (sin.f64 re) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/2 binary64) re))))

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

Calls

4 calls:

18.0ms	(sin.f64 re)
14.0ms	re
13.0ms	im
13.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Results

Accuracy	Segments	Branch
98.9%	1	`re`
98.9%	1	`im`
98.9%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
98.9%	1	`(sin.f64 re)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes52.0ms (0.6%)

Counts

40 → 3

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re #s(literal -7 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re #s(literal -8 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re (+.f64 re (-.f64 re re))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(sin.f64 re)
(*.f64 #s(literal 2 binary64) (sin.f64 re))
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 8 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) im)
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re))
(.f64 re (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 im #s(literal 2 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) im))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(.f64 (sin.f64 re) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))

Outputs

(sin.f64 re)

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

(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))

Calls

4 calls:

13.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
13.0ms	im
12.0ms	(sin.f64 re)
12.0ms	re

Results

Accuracy	Segments	Branch
91.1%	2	`re`
96.9%	3	`im`
91.1%	3	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
91.1%	3	`(sin.f64 re)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes15.0ms (0.2%)

Counts

38 → 3

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re #s(literal -7 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re #s(literal -8 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re (+.f64 re (-.f64 re re))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(sin.f64 re)
(*.f64 #s(literal 2 binary64) (sin.f64 re))
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 8 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) im)
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re))
(.f64 re (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 im #s(literal 2 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) im))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))

Outputs

(sin.f64 re)

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

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

Calls

1 calls:

12.0ms

im

Results

Accuracy	Segments	Branch
96.1%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts

36 → 3

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re #s(literal -7 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re #s(literal -8 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re (+.f64 re (-.f64 re re))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(sin.f64 re)
(*.f64 #s(literal 2 binary64) (sin.f64 re))
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 8 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) im)
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re))
(.f64 re (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 im #s(literal 2 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) im))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))))

Outputs

(sin.f64 re)

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

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

Calls

1 calls:

11.0ms

im

Results

Accuracy	Segments	Branch
95.9%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

33 → 3

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re #s(literal -7 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re #s(literal -8 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re (+.f64 re (-.f64 re re))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(sin.f64 re)
(*.f64 #s(literal 2 binary64) (sin.f64 re))
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 8 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) im)
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re))
(.f64 re (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 im #s(literal 2 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 re (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) im))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) im))))

Outputs

(sin.f64 re)

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

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

Calls

1 calls:

10.0ms

im

Results

Accuracy	Segments	Branch
94.7%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Counts

30 → 2

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re #s(literal -7 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re #s(literal -8 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re (+.f64 re (-.f64 re re))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(sin.f64 re)
(*.f64 #s(literal 2 binary64) (sin.f64 re))
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 8 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) im)
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re))
(.f64 re (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) im))
(.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 im #s(literal 2 binary64))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) im))

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

Calls

2 calls:

9.0ms	re
9.0ms	im

Results

Accuracy	Segments	Branch
75.0%	2	`re`
89.6%	2	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes78.0ms (0.9%)

Counts

24 → 2

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re #s(literal -7 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re #s(literal -8 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re (+.f64 re (-.f64 re re))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(sin.f64 re)
(*.f64 #s(literal 2 binary64) (sin.f64 re))
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 8 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) im)
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re))
(.f64 re (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) re))

Outputs
(sin.f64 re)
(.f64 re (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))

Calls

3 calls:

59.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms	im
8.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
69.2%	4	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
69.2%	4	`(sin.f64 re)`
82.5%	2	`im`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes9.0ms (0.1%)

Counts

22 → 2

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re #s(literal -7 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re #s(literal -8 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re (+.f64 re (-.f64 re re))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(sin.f64 re)
(*.f64 #s(literal 2 binary64) (sin.f64 re))
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 8 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) im)
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re))

Outputs
(sin.f64 re)
(.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re))

Calls

1 calls:

7.0ms

im

Results

Accuracy	Segments	Branch
82.5%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re #s(literal -7 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re #s(literal -8 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re (+.f64 re (-.f64 re re))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(sin.f64 re)
(*.f64 #s(literal 2 binary64) (sin.f64 re))
(+.f64 (sin.f64 re) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 8 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) im)

Outputs

(sin.f64 re)

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

Calls

1 calls:

7.0ms

im

Results

Accuracy	Segments	Branch
79.6%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 re #s(literal -7 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (+.f64 re re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re #s(literal -8 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))
(.f64 (/.f64 re (+.f64 re (-.f64 re re))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))

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

Calls

2 calls:

5.0ms	re
5.0ms	im

Results

Accuracy	Segments	Branch
48.6%	1	`re`
48.6%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))

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

Calls

2 calls:

8.0ms	im
4.0ms	re

Results

Accuracy	Segments	Branch
48.6%	1	`im`
48.6%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (+.f64 #s(literal 2 binary64) im))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))

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

Calls

2 calls:

4.0ms	re
4.0ms	im

Results

Accuracy	Segments	Branch
44.5%	1	`im`
44.5%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))

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

Calls

2 calls:

3.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
29.5%	1	`im`
29.5%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 9 binary64)
re
(+.f64 re #s(literal 9 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1/4 binary64))

Outputs
re

Calls

2 calls:

22.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
23.5%	1	`im`
23.5%	1	`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
#s(literal 9 binary64)

Outputs
#s(literal 9 binary64)

Calls

2 calls:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
5.1%	1	`re`
5.1%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.9337146934214996e+74	2.1784397406037733e+77
17.0ms	1.1043068148229011e-11	1.0458815936898254e-8

Results

24.0ms

256×

valid

Compiler

Compiled 515 to 375 computations (27.2% saved)

Precisions

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

ival-sin: 6.0ms (36.7% of total)

ival-mult: 4.0ms (24.5% of total)

ival-exp: 3.0ms (18.4% of total)

ival-sub: 1.0ms (6.1% of total)

ival-add: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

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

bsearch214.0ms (2.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.1714825368804766e+97	3.473709042204495e+105
115.0ms	1.1043068148229011e-11	1.0458815936898254e-8

Results

25.0ms

272×

valid

Compiler

Compiled 639 to 463 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 7.0ms (40.3% of total)

ival-exp: 4.0ms (23% of total)

ival-mult: 4.0ms (23% of total)

ival-sub: 1.0ms (5.8% of total)

ival-add: 1.0ms (5.8% of total)

const: 0.0ms (0% of total)

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

bsearch102.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
82.0ms	1.1714825368804766e+97	3.473709042204495e+105
17.0ms	0.004159366479386252	15.70250778240877

Results

89.0ms

272×

valid

Compiler

Compiled 435 to 344 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 7.0ms (40.4% of total)

ival-exp: 4.0ms (23.1% of total)

ival-mult: 4.0ms (23.1% of total)

ival-sub: 1.0ms (5.8% of total)

ival-add: 1.0ms (5.8% of total)

const: 0.0ms (0% of total)

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

bsearch172.0ms (2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.1015417039448255e+153	1.0528949204574731e+155
154.0ms	0.004159366479386252	15.70250778240877

Results

160.0ms

240×

valid

Compiler

Compiled 343 to 273 computations (20.4% saved)

Precisions

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

ival-sin: 6.0ms (38% of total)

ival-mult: 4.0ms (25.3% of total)

ival-exp: 3.0ms (19% of total)

ival-sub: 1.0ms (6.3% of total)

ival-add: 1.0ms (6.3% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.004159366479386252	15.70250778240877

Results

21.0ms

128×

valid

Compiler

Compiled 147 to 119 computations (19% saved)

Precisions

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

ival-sin: 12.0ms (68.2% of total)

ival-exp: 2.0ms (11.4% of total)

ival-mult: 2.0ms (11.4% of total)

ival-sub: 1.0ms (5.7% of total)

ival-add: 1.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	13075.679984194021	4128972.9484280064

Results

13.0ms

128×

valid

Compiler

Compiled 139 to 111 computations (20.1% saved)

Precisions

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

ival-sin: 3.0ms (33.6% of total)

ival-exp: 2.0ms (22.4% of total)

ival-mult: 2.0ms (22.4% of total)

ival-sub: 1.0ms (11.2% of total)

ival-add: 1.0ms (11.2% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	13075.679984194021	4128972.9484280064

Results

16.0ms

128×

valid

Compiler

Compiled 139 to 111 computations (20.1% saved)

Precisions

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

ival-exp: 5.0ms (41.5% of total)

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

ival-mult: 2.0ms (16.6% of total)

ival-sub: 1.0ms (8.3% of total)

ival-add: 1.0ms (8.3% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	13075.679984194021	4128972.9484280064

Results

14.0ms

128×

valid

Compiler

Compiled 219 to 175 computations (20.1% saved)

Precisions

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

ival-sin: 3.0ms (33.7% of total)

ival-exp: 2.0ms (22.5% of total)

ival-mult: 2.0ms (22.5% of total)

ival-sub: 1.0ms (11.2% of total)

ival-add: 1.0ms (11.2% of total)

const: 0.0ms (0% of total)

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

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
17×	`+-commutative`
5×	`neg-mul-1`
4×	`unsub-neg`
3×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	1032
1	153	1032
2	158	1032
3	164	1032
4	171	1032
5	180	1032

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(if (<=.f64 im #s(literal 6165521680034609/604462909807314587353088 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))))
(if (<=.f64 im #s(literal 6165521680034609/604462909807314587353088 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 9/2 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 2476979795053773/562949953421312 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (sin.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 106000 binary64)) (sin.f64 re) (.f64 re (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(if (<=.f64 im #s(literal 3350000 binary64)) (sin.f64 re) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re)))
(if (<=.f64 im #s(literal 56000 binary64)) (sin.f64 re) (.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
re
#s(literal 9 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) #s(literal 1 binary64)))
(if (<=.f64 im #s(literal 6165521680034609/604462909807314587353088 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))))
(if (<=.f64 im #s(literal 6165521680034609/604462909807314587353088 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))))) (.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(if (<=.f64 im #s(literal 6165521680034609/604462909807314587353088 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))) (.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(if (<=.f64 im #s(literal 6165521680034609/604462909807314587353088 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 6165521680034609/604462909807314587353088 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 6165521680034609/604462909807314587353088 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 9/2 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 9/2 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) re)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 2476979795053773/562949953421312 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))))
(if (<=.f64 im #s(literal 2476979795053773/562949953421312 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) re)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (sin.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (sin.f64 re) (.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) re)))
(if (<=.f64 im #s(literal 106000 binary64)) (sin.f64 re) (.f64 re (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(if (<=.f64 im #s(literal 3350000 binary64)) (sin.f64 re) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) re)))
(if (<=.f64 im #s(literal 3350000 binary64)) (sin.f64 re) (.f64 #s(literal 1/24 binary64) (.f64 re (pow.f64 im #s(literal 4 binary64)))))
(if (<=.f64 im #s(literal 56000 binary64)) (sin.f64 re) (.f64 (+.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64)))))))))
(if (<=.f64 im #s(literal 56000 binary64)) (sin.f64 re) (.f64 (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))) (+.f64 re #s(literal 9 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (*.f64 im #s(literal 1/6 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 #s(literal 2 binary64) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 im #s(literal 2 binary64)))
re
#s(literal 9 binary64)

soundness1.3s (15.7%)

Rules

989×	`fma-neg`
866×	`associate-+l+`
857×	`fma-define`
781×	`associate-+r+`
725×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	293	8041
1	932	7449
2	3301	7243
3	6831	7239
0	823	17358
1	2464	16085
2	6877	16047
0	722	12471
1	1963	11783
2	7234	11775
0	30	226
1	451	226
2	7549	226
0	209	3171
1	587	2901
2	1881	2707
3	5470	2672
0	36	316
1	111	308
2	397	308
3	986	298
4	1988	294
5	3213	294
6	3708	294
7	4185	294
8	4839	294
9	4992	294
10	5009	294
11	5009	294
12	5041	294
13	5070	294
14	5070	294

Stop Event

1×	fuel
1×	saturated
1×	node limit
1×	unsound
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 840 to 290 computations (65.5% saved)

preprocess110.0ms (1.3%)

Remove

(negabs re)

(abs im)

Compiler

Compiled 1030 to 526 computations (48.9% saved)

Iter	Nodes	Cost
0	16	128
1	33	128
2	79	128
3	132	126
4	165	126
5	200	126
6	232	126
7	243	126
8	245	126
9	250	126
10	250	126

Iter	Nodes	Cost
0	16	128
1	33	128
2	79	128
3	132	126
4	165	126
5	200	126
6	232	126
7	243	126
8	245	126
9	250	126
10	250	126

analyze0.0ms (0%)

sample1.4s (16.9%)

preprocess387.0ms (4.6%)

explain113.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.3%)

localize44.0ms (0.5%)

series12.0ms (0.1%)

rewrite330.0ms (3.9%)

simplify93.0ms (1.1%)

eval21.0ms (0.3%)

prune22.0ms (0.3%)

simplify234.0ms (2.8%)

localize121.0ms (1.4%)

series46.0ms (0.5%)

rewrite53.0ms (0.6%)

simplify166.0ms (2%)

eval160.0ms (1.9%)

prune90.0ms (1.1%)

simplify177.0ms (2.1%)

localize227.0ms (2.7%)

series33.0ms (0.4%)

rewrite224.0ms (2.7%)

simplify205.0ms (2.4%)

eval127.0ms (1.5%)

prune104.0ms (1.2%)

simplify218.0ms (2.6%)

localize203.0ms (2.4%)

series64.0ms (0.8%)

rewrite121.0ms (1.4%)

simplify407.0ms (4.8%)

eval134.0ms (1.6%)

prune226.0ms (2.7%)

regimes176.0ms (2.1%)

regimes62.0ms (0.7%)

regimes52.0ms (0.6%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes12.0ms (0.1%)

regimes21.0ms (0.2%)

regimes78.0ms (0.9%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes19.0ms (0.2%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes25.0ms (0.3%)

regimes3.0ms (0%)

bsearch37.0ms (0.4%)

bsearch214.0ms (2.6%)

bsearch102.0ms (1.2%)

bsearch172.0ms (2%)

bsearch27.0ms (0.3%)

bsearch28.0ms (0.3%)

bsearch22.0ms (0.3%)

bsearch20.0ms (0.2%)

simplify19.0ms (0.2%)

soundness1.3s (15.7%)

preprocess110.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	128
1	33	128
2	79	128
3	132	126
4	165	126
5	200	126
6	232	126
7	243	126
8	245	126
9	250	126
10	250	126