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)

sample1.7s (18.7%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 968.0ms

ival-mult: 343.0ms (35.4% of total)

ival-sin: 254.0ms (26.2% of total)

ival-add: 147.0ms (15.2% of total)

ival-exp: 110.0ms (11.4% of total)

ival-sub: 96.0ms (9.9% of total)

const: 15.0ms (1.5% of total)

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

Bogosity

preprocess254.0ms (2.7%)

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)

explain390.0ms (4.2%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
1	(4.8572190625160815e-294 148.67254338136104)	-	`(exp.f64 (-.f64 #s(literal 0 binary64) im))`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`re`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
0	-	-	`(-.f64 #s(literal 0 binary64) im)`
0	-	-	`im`
0	-	-	`#s(literal 0 binary64)`
0	-	-	`(sin.f64 re)`
0	-	-	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
0	-	-	`(exp.f64 im)`
0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Results

191.0ms

512×

valid

Compiler

Compiled 96 to 61 computations (36.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-add: 109.0ms (67.8% of total)

ival-exp: 16.0ms (10% of total)

ival-sin: 13.0ms (8.1% of total)

ival-mult: 11.0ms (6.8% of total)

ival-sub: 9.0ms (5.6% of total)

const: 2.0ms (1.2% of total)

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

eval1.0ms (0%)

Compiler: Compiled 24 to 15 computations (37.5% 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)))
▶	100.0%	(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))

Status

Accuracy

Program

▶

100.0%

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

▶

100.0%

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

localize219.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
✓	cost-diff	0	(sin.f64 re)
✓	cost-diff	0	(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
✓	accuracy	100.0%	(exp.f64 im)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
✓	accuracy	100.0%	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (exp.f64 im))

Rules

61×	`fma-define`
27×	`associate-r`
21×	`associate-l`
13×	`*-commutative`
11×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	236
1	40	236
2	94	236
3	159	236
4	187	236
5	222	236
6	254	236
7	265	236
8	267	236
9	272	236
10	272	236

Stop Event

1×

saturated

Calls

Call 1

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

Results

174.0ms

256×

valid

Compiler

Compiled 66 to 26 computations (60.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-fma: 104.0ms (67.8% of total)

ival-div: 28.0ms (18.3% of total)

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

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

ival-exp: 3.0ms (2% of total)

ival-add: 1.0ms (0.7% of total)

const: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

series18.0ms (0.2%)

Counts

6 → 60

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite152.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

97×	`add-exp-log`
97×	`add-log-exp`
97×	`log1p-expm1-u`
97×	`expm1-log1p-u`
95×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	100
1	222	100
2	3374	100

Stop Event

1×

unsound

Counts

6 → 55

Calls

Call 1

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

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

simplify113.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-define`
850×	`distribute-lft-in`
802×	`distribute-rgt-in`
428×	`*-commutative`
237×	`associate-+l+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	197	2980
1	544	2705
2	1692	2611
3	4451	2562
4	7012	2555

Stop Event

1×	node limit

Counts

115 → 147

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) im))
(fma.f64 #s(literal -1/2 binary64) im #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/4 binary64) im) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 #s(literal 1/4 binary64) im #s(literal -1/2 binary64))))
(fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) im))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 im (fma.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal -1/12 binary64))) #s(literal -1/2 binary64))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/12 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 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) (.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)) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #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 #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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)) #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 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) 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 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.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 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))))
(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 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(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) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(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) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(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) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(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) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(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) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(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) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(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) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 im #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 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))))))
(+.f64 #s(literal 1 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 1 binary64))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) re)
(.f64 re (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
(.f64 re (fma.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(.f64 re (.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64)) re))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.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 -1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
(.f64 re (+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/120 binary64))))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(.f64 re (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (+.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64))))))
(.f64 re (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (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))))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.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 -1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.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 -1/5040 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (.f64 #s(literal 1/120 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))))
(.f64 re (+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 re #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 1/120 binary64))))))))
(.f64 re (+.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))))
(.f64 re (fma.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 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)) (fma.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)))))
(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 (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 (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)) (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 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.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)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (sin.f64 re))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re) (.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 re)) (pow.f64 im #s(literal 4 binary64))))
(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) (fma.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64)))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64)) re)
(.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)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.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)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)
(.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)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/6 binary64))) (pow.f64 re #s(literal 3 binary64)) re)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 re)) (.f64 #s(literal -1/2 binary64) (sin.f64 re)))
(neg.f64 (sin.f64 re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))) #s(literal -1 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 re))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))
(/.f64 #s(literal -2 binary64) (sin.f64 re))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) #s(literal 3 binary64))
(*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1/8 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))
(sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 re)))
(log.f64 (pow.f64 #s(literal -1 binary64) (sin.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))))
(log.f64 (-.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (sin.f64 re)) #s(literal -2 binary64)))
(cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (sin.f64 re))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (sin.f64 re))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (sin.f64 re))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 re))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))
(/.f64 #s(literal -2 binary64) (sin.f64 re))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) re))))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) re))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) re)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -1 binary64))
(+.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 re)))
(+.f64 #s(literal 2 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))
(neg.f64 (sin.f64 re))
(*.f64 #s(literal -1 binary64) (sin.f64 re))
(neg.f64 (sin.f64 re))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re))) #s(literal -1/2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) re))) #s(literal -1/2 binary64))
(-.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) #s(literal -1/2 binary64)))
(+.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) #s(literal 1/2 binary64)))
(+.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) re)) #s(literal 2 binary64)))
(pow.f64 (sin.f64 re) #s(literal -1/2 binary64))
(pow.f64 (sin.f64 re) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sin.f64 re))
(pow.f64 (sin.f64 re) #s(literal 3 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 -1 binary64) (expm1.f64 (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)))
(/.f64 #s(literal 1 binary64) (sin.f64 re))

eval46.0ms (0.5%)

Compiler: Compiled 3277 to 1979 computations (39.6% saved)

prune41.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	201	6	207
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	203	6	209

Accuracy

100.0%

Counts

209 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.1%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))
▶	74.2%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
	82.4%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
▶	62.3%	(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	99.7%	(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
▶	49.1%	(sin.f64 re)

Compiler

Compiled 138 to 108 computations (21.7% saved)

localize398.0ms (4.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))
	cost-diff	0	(sin.f64 re)
✓	cost-diff	0	(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
	accuracy	100.0%	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓	accuracy	100.0%	(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))
✓	accuracy	95.1%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 im im #s(literal 2 binary64)))

Rules

1386×	`fma-define`
742×	`fma-neg`
588×	`distribute-lft-neg-in`
561×	`distribute-rgt-neg-in`
480×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	323
1	54	319
2	126	319
3	238	317
4	342	317
5	620	317
6	858	317
7	1224	317
8	1403	317
9	1623	317
10	2411	317
11	3575	317
12	4349	317
13	5280	317
14	6962	317

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

84.0ms

256×

valid

Compiler

Compiled 93 to 41 computations (55.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 18.0ms (36.4% of total)

ival-fma: 13.0ms (26.3% of total)

ival-sin: 6.0ms (12.1% of total)

ival-exp: 5.0ms (10.1% of total)

ival-add: 3.0ms (6.1% of total)

const: 2.0ms (4% of total)

ival-neg: 1.0ms (2% of total)

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

series12.0ms (0.1%)

Counts

4 → 64

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite114.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1037×	`log1p-expm1-u`
1037×	`expm1-log1p-u`
192×	`expm1-undefine`
192×	`fma-define`
192×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	99
1	242	95
2	3064	95

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

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

simplify196.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

700×	`distribute-rgt-in`
700×	`distribute-lft-in`
383×	`associate-+l+`
359×	`associate-+r+`
298×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	5724
1	870	5455
2	3031	5146

Stop Event

1×	node limit

Counts

173 → 203

Calls

Call 1

Inputs
(.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)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) re))
(+.f64 #s(literal 2 binary64) (.f64 re (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 re (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.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 1/2 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))))))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.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 1/2 binary64) (exp.f64 im))))) (.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sin.f64 re)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (*.f64 #s(literal -1 binary64) (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))
(exp.f64 (log.f64 (.f64 (.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (sin.f64 re)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 #s(literal -1 binary64) (sin.f64 re)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))))
(.f64 (fma.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (sin.f64 re)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal -1 binary64) (sin.f64 re)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -4 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal -2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (sin.f64 re) #s(literal 2 binary64))
(fma.f64 (sin.f64 re) #s(literal 1/2 binary64) #s(literal 2 binary64))
(fma.f64 (sin.f64 re) #s(literal -1/2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 re) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 re)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (sin.f64 re)) (*.f64 (sqrt.f64 (sin.f64 re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (sin.f64 re)) (*.f64 (sqrt.f64 (sin.f64 re)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (sin.f64 re))) (sqrt.f64 (sin.f64 re)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sin.f64 re))) (sqrt.f64 (sin.f64 re)) #s(literal 2 binary64))
(+.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 re (fma.f64 im 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 (fma.f64 #s(literal -1/12 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 re (.f64 (fma.f64 im im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (.f64 re (fma.f64 im im #s(literal 2 binary64))) (+.f64 (*.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) (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 (fma.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (fma.f64 im im #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 im im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/240 binary64))))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (+.f64 #s(literal -1/12 binary64) (.f64 (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 im #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 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))))))))))
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(.f64 re (fma.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal -1/12 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64)) #s(literal 1/240 binary64))))))))
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(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))

eval150.0ms (1.6%)

Compiler: Compiled 5205 to 3519 computations (32.4% saved)

prune208.0ms (2.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	391	11	402
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	396	12	408

Accuracy

100.0%

Counts

408 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.6%	(/.f64 #s(literal 1 binary64) (sin.f64 re))
▶	3.8%	(+.f64 #s(literal 2 binary64) (*.f64 re #s(literal -1/2 binary64)))
▶	44.3%	(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
▶	99.7%	(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
	82.1%	(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
	73.9%	(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
	49.6%	(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
	31.1%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
▶	62.1%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
✓	49.1%	(sin.f64 re)
	23.3%	re
▶	5.0%	#s(literal 2 binary64)

Compiler

Compiled 210 to 167 computations (20.5% saved)

localize369.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 re #s(literal -1/2 binary64))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
	cost-diff	0	(sin.f64 re)
	accuracy	100.0%	(exp.f64 im)
✓	accuracy	100.0%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
✓	accuracy	100.0%	(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
✓	accuracy	95.1%	(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))

Rules

628×	`distribute-lft-neg-in`
533×	`distribute-rgt-neg-in`
516×	`fma-define`
480×	`associate-r`
425×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	254
1	48	250
2	98	250
3	193	250
4	261	250
5	532	250
6	708	250
7	781	250
8	829	250
9	867	250
10	905	250
11	1751	250
12	2613	250
13	3108	250
14	4231	250
15	5202	250
16	5626	250
17	6528	250

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

143.0ms

256×

valid

Compiler

Compiled 83 to 49 computations (41% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-sin: 65.0ms (60.9% of total)

ival-mult: 21.0ms (19.7% of total)

ival-fma: 9.0ms (8.4% of total)

ival-add: 7.0ms (6.6% of total)

const: 3.0ms (2.8% of total)

ival-exp: 2.0ms (1.9% of total)

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

series16.0ms (0.2%)

Counts

5 → 68

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	im	@	0	(* (* 1/2 re) (+ (* im im) 2))
3.0ms	re	@	-inf	(* (sin re) (+ (* 1/2 (exp im)) 1/2))
1.0ms	re	@	0	(* (* 1/2 re) (+ (* im im) 2))
1.0ms	re	@	inf	(* (* 1/2 re) (+ (* im im) 2))
0.0ms	re	@	0	(* re (+ 1/2 (* 1/2 (exp im))))

rewrite151.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`log1p-expm1-u`
768×	`expm1-log1p-u`
726×	`prod-diff`
347×	`fma-define`
181×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	108
1	302	108
2	3895	108

Stop Event

1×	node limit

Counts

5 → 183

Calls

Call 1

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

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

simplify141.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

588×	`distribute-lft-in`
567×	`distribute-rgt-in`
430×	`times-frac`
335×	`associate-r`
291×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	466	8059
1	1139	7819
2	3484	7708

Stop Event

1×	node limit

Counts

251 → 273

Calls

Call 1

Inputs
(.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)))))
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 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.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 1/2 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))))))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.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 1/2 binary64) (exp.f64 im))))) (.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
re
(+.f64 re (.f64 #s(literal 1/2 binary64) (.f64 im re)))
(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(+.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))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 #s(literal -1/2 binary64) re)
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (pow.f64 im #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) re)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) re)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (fma.f64 im im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (fma.f64 im im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (fma.f64 im im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (fma.f64 im im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (fma.f64 im im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (fma.f64 im im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (fma.f64 im im #s(literal 2 binary64))))))
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(fma.f64 #s(literal -1/2 binary64) re (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) re) (.f64 #s(literal 1/2 binary64) re))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (cbrt.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (cbrt.f64 re) #s(literal -1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (cbrt.f64 re) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (cbrt.f64 re) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (cbrt.f64 re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) re) (.f64 #s(literal 1/2 binary64) re))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) re)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) re)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) re)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) #s(literal -1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im))) (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))) (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) re))
(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im))) (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sqrt.f64 re)) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sqrt.f64 re)) (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 (.f64 (sqrt.f64 re) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 (sqrt.f64 re) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 (.f64 re (exp.f64 im)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) re))
(fma.f64 (.f64 re (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) re))
(fma.f64 (.f64 re (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) re))
(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(exp.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) re))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) re)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) re)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) re)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
re
(+.f64 re (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (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 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (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 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))
(.f64 #s(literal 1/2 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 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)) (fma.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)) (fma.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)) (fma.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 #s(literal 1/2 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/2 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)) (fma.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)) (fma.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)) (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 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 1/2 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/12 binary64) (*.f64 (exp.f64 im) #s(literal -1/12 binary64)))))))
(.f64 re (+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/12 binary64) (*.f64 (exp.f64 im) #s(literal -1/12 binary64))))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))))))))
(.f64 re (+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/120 binary64))))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64))))))))
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) re) (.f64 #s(literal 1/2 binary64) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 re (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 re (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 re (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) re)) (cbrt.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 re (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (cbrt.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (cbrt.f64 re) #s(literal -1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 re #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 re (exp.f64 im)) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (cbrt.f64 re) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 re #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 re (exp.f64 im)) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (cbrt.f64 re) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (cbrt.f64 re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) re) (.f64 #s(literal 1/2 binary64) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) re)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) re)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) re)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) #s(literal -1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 re #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 re (exp.f64 im)) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 re #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 re (exp.f64 im)) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im))) (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))) (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im))) (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sqrt.f64 re)) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sqrt.f64 re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (sqrt.f64 re) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 (sqrt.f64 re) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 re (exp.f64 im)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 re (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 re (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 re #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 re (exp.f64 im)) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 re #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 re (exp.f64 im)) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(fma.f64 re #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 re (exp.f64 im)) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 re #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 re (exp.f64 im)) re))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) re) (exp.f64 im)))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(pow.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(exp.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(exp.f64 (*.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) re)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) re))
(log.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 #s(literal 1/2 binary64) re)
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) re)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) re)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 #s(literal 1/2 binary64) re)
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 #s(literal 1/2 binary64) re)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) re)

eval82.0ms (0.9%)

Compiler: Compiled 5178 to 3323 computations (35.8% saved)

prune320.0ms (3.5%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	348	8	356
Fresh	1	5	6
Picked	0	5	5
Done	0	1	1
Total	349	19	368

Accuracy

100.0%

Counts

368 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.6%	(/.f64 #s(literal 1 binary64) (sin.f64 re))
	45.7%	(+.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))))))
	39.3%	(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
	28.3%	(+.f64 re (.f64 #s(literal 1/2 binary64) (.f64 re im)))
✓	3.8%	(+.f64 #s(literal 2 binary64) (*.f64 re #s(literal -1/2 binary64)))
	3.6%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) re))
▶	49.6%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (sin.f64 re))
✓	44.3%	(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
✓	99.7%	(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
▶	82.1%	(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
	73.9%	(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
	31.1%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
▶	48.6%	(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))))))
	44.1%	(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))))
▶	28.3%	(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) im))))
✓	62.1%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
✓	49.1%	(sin.f64 re)
▶	23.3%	re
✓	5.0%	#s(literal 2 binary64)

Compiler

Compiled 363 to 278 computations (23.4% saved)

localize724.0ms (7.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 im #s(literal 1/12 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) im)
✓	cost-diff	0	(*.f64 im #s(literal 1/12 binary64))
	cost-diff	0	(sin.f64 re)
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))
✓	accuracy	99.5%	(*.f64 im #s(literal 1/12 binary64))
✓	accuracy	97.0%	(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))))))
✓	accuracy	97.0%	(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))

Rules

4049×	`distribute-lft-in`
810×	`*-commutative`
680×	`distribute-rgt-in`
619×	`+-commutative`
511×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	664
1	82	552
2	228	552
3	624	552
4	1782	552
5	2953	552
6	3170	552
7	3425	552
8	3552	552
9	3650	552
10	3675	552
11	6084	552
12	6533	552
13	6559	552
14	6587	552
15	6904	552
16	6912	552
17	6916	552
18	6916	552
19	6916	552
20	6916	552
21	7200	552
22	7200	552
23	7200	552

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

197.0ms

256×

valid

Compiler

Compiled 210 to 152 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-mult: 84.0ms (56.9% of total)

ival-add: 50.0ms (33.9% of total)

const: 7.0ms (4.7% of total)

ival-sin: 7.0ms (4.7% of total)

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

series17.0ms (0.2%)

Counts

5 → 72

Calls

Call 1

Inputs
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))))))>
#<alt (*.f64 im #s(literal 1/12 binary64))>
#<alt (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>

Outputs
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))))) (.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 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))) (.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))))))))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 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 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 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 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/4 binary64) im)>
#<alt (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	im	@	-inf	(* im 1/12)
1.0ms	re	@	0	(* (sin re) (+ 1 (* im (+ 1/2 (* im (+ 1/4 (* im 1/12)))))))
1.0ms	re	@	inf	(* (sin re) (+ 1 (* im (+ 1/2 (* im (+ 1/4 (* im 1/12)))))))
1.0ms	im	@	inf	(* (sin re) (+ 1 (* im (+ 1/2 (* im (+ 1/4 (* im 1/12)))))))
1.0ms	im	@	-inf	(* (sin re) (+ 1 (* im (+ 1/2 (* im (+ 1/4 (* im 1/12)))))))

rewrite180.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1179×	`log1p-expm1-u`
525×	`expm1-log1p-u`
175×	`associate-r`
163×	`add-cube-cbrt`
162×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	159
1	372	131
2	5472	131

Stop Event

1×	node limit

Counts

5 → 120

Calls

Call 1

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

Outputs
(+.f64 (sin.f64 re) (.f64 (sin.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (sin.f64 re) (.f64 (.f64 (sin.f64 re) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (sin.f64 re))
(+.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))
(+.f64 (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sin.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) (.f64 (sin.f64 re) (.f64 (sin.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))) (-.f64 (sin.f64 re) (.f64 (sin.f64 re) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (sin.f64 re) (+.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (sin.f64 re) (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (sin.f64 re)) (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 re)) (-.f64 #s(literal 0 binary64) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 re)) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 re) #s(literal 1 binary64) (.f64 (sin.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (sin.f64 re) (.f64 (sin.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 re)) (.f64 (sin.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)) (.f64 (sin.f64 re) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(+.f64 re (.f64 re (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(+.f64 re (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) re))
(+.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 re #s(literal 1/2 binary64)))
(+.f64 (.f64 re (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) re)
(+.f64 (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) re) re)
(+.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 re #s(literal 1/2 binary64)) (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re #s(literal 1/2 binary64))) (.f64 (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (-.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 re (+.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 re (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 re (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 re (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) re) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) re) (-.f64 #s(literal 0 binary64) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) re) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/12 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 1/4 binary64)))
(+.f64 (.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 im #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 im #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal 1/48 binary64) im))))
(/.f64 (.f64 im (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/64 binary64)) im) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal 1/48 binary64) im))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64))) im) (-.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))
(pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 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)))

simplify136.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

506×	`times-frac`
368×	`associate-r`
360×	`fma-define`
354×	`cancel-sign-sub-inv`
339×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	9113
1	1320	8876
2	4682	8695

Stop Event

1×	node limit

Counts

192 → 249

Calls

Call 1

Inputs
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))))) (.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 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))) (.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))))))))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))
(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 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 1/2 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 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))
(.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))))
(.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)))))))
(.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)))))))
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(/.f64 (+.f64 (pow.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 re #s(literal 1/2 binary64)) (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re #s(literal 1/2 binary64))) (.f64 (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (-.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 re (+.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 re (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 re (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 re (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) re) (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) re) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) re) (-.f64 #s(literal 0 binary64) (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) re) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/12 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 1/4 binary64)))
(+.f64 (.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 im #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 im #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal 1/48 binary64) im))))
(/.f64 (.f64 im (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/64 binary64)) im) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal 1/48 binary64) im))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64))) im) (-.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))
(pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))
(*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))))
(.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im))))))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))))))))))))
(.f64 re (+.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/120 binary64))))))
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(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 re (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64))))
(pow.f64 (*.f64 im #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 im #s(literal 1/12 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 3 binary64))
(*.f64 im #s(literal 1/12 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 2 binary64))
(*.f64 im #s(literal 1/12 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/12 binary64)))
(*.f64 im #s(literal 1/12 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/12 binary64)))))
(*.f64 im #s(literal 1/12 binary64))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/12 binary64))))
(*.f64 im #s(literal 1/12 binary64))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/12 binary64))))
(*.f64 im #s(literal 1/12 binary64))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 im #s(literal 1/12 binary64))
(+.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(+.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 1/4 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(+.f64 (.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 im #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 im #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64) (*.f64 im #s(literal -1/48 binary64))))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) (.f64 #s(literal 1/1728 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 im (+.f64 (.f64 im #s(literal 1/144 binary64)) #s(literal -1/48 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 im #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal 1/48 binary64) im))))
(/.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/16 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64) (neg.f64 (.f64 im #s(literal 1/48 binary64))))))
(/.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/16 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64) (.f64 im #s(literal -1/48 binary64)))))
(.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 im (+.f64 (*.f64 im #s(literal 1/144 binary64)) #s(literal -1/48 binary64))))))
(/.f64 (.f64 im (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))
(.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64))) (/.f64 im (-.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))
(.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/144 binary64))) (/.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))))
(.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/144 binary64))) (/.f64 im (-.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/64 binary64)) im) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)) (.f64 #s(literal 1/48 binary64) im))))
(/.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/16 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64) (neg.f64 (.f64 im #s(literal 1/48 binary64))))))
(/.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/16 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64) (.f64 im #s(literal -1/48 binary64)))))
(.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 im (+.f64 (*.f64 im #s(literal 1/144 binary64)) #s(literal -1/48 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64))) im) (-.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))
(.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64))) (/.f64 im (-.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))
(.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/144 binary64))) (/.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))))
(.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/144 binary64))) (/.f64 im (-.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))
(pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(fma.f64 im #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64))))
(pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 im #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 im #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 im #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 im #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fabs.f64 (*.f64 im #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 im #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/2 binary64)))))
(*.f64 im #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 im #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/2 binary64))))
(*.f64 im #s(literal 1/2 binary64))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))))
(*.f64 im #s(literal 1/2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 im #s(literal 1/2 binary64))

eval134.0ms (1.4%)

Compiler: Compiled 8536 to 6115 computations (28.4% saved)

prune83.0ms (0.9%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	398	5	403
Fresh	1	7	8
Picked	2	3	5
Done	1	5	6
Total	402	20	422

Accuracy

100.0%

Counts

422 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.6%	(/.f64 #s(literal 1 binary64) (sin.f64 re))
	45.7%	(+.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))))))
	39.3%	(+.f64 re (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
✓	3.8%	(+.f64 #s(literal 2 binary64) (*.f64 re #s(literal -1/2 binary64)))
	3.6%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) re))
	21.2%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
	33.1%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
✓	49.6%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (sin.f64 re))
	28.3%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) re)
✓	44.3%	(.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
✓	82.1%	(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
	73.9%	(.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
	48.6%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
	31.1%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
	44.1%	(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))))
✓	62.1%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
	28.7%	(.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) re))
✓	49.1%	(sin.f64 re)
✓	23.3%	re
✓	5.0%	#s(literal 2 binary64)

Compiler

Compiled 537 to 376 computations (30% saved)

regimes53.0ms (0.6%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	re
10.0ms	im
10.0ms	(sin.f64 re)
10.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
8.0ms	(.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)

regimes52.0ms (0.6%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

10.0ms	(sin.f64 re)
10.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
10.0ms	re
9.0ms	im
7.0ms	(.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)

regimes80.0ms (0.9%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

4 calls:

49.0ms	(sin.f64 re)
10.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms	re
9.0ms	im

Results

Accuracy	Segments	Branch
99.7%	1	`re`
99.7%	1	`im`
99.7%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
99.7%	1	`(sin.f64 re)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes58.0ms (0.6%)

Counts

25 → 3

Calls

Call 1

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

Outputs

(sin.f64 re)

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

(*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))

Calls

3 calls:

20.0ms	(sin.f64 re)
20.0ms	im
16.0ms	re

Results

Accuracy	Segments	Branch
94.2%	2	`re`
96.9%	3	`im`
94.2%	3	`(sin.f64 re)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes286.0ms (3.1%)

Counts

24 → 3

Calls

Call 1

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

Outputs

(sin.f64 re)

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

(*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))

Calls

2 calls:

154.0ms	re
130.0ms	im

Results

Accuracy	Segments	Branch
90.1%	2	`re`
94.5%	3	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes149.0ms (1.6%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

3 calls:

81.0ms	re
43.0ms	im
23.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
80.8%	4	`re`
83.7%	7	`(sin.f64 re)`
87.9%	2	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes44.0ms (0.5%)

Counts

16 → 2

Calls

Call 1

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

Outputs
(sin.f64 re)
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))

Calls

3 calls:

18.0ms	(sin.f64 re)
15.0ms	re
10.0ms	im

Results

Accuracy	Segments	Branch
68.7%	5	`(sin.f64 re)`
66.3%	2	`re`
74.4%	2	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	im
4.0ms	re

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))))

Calls

2 calls:

3.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
44.1%	1	`im`
44.1%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
28.3%	1	`im`
28.3%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes86.0ms (0.9%)

Counts

4 → 1

Calls

Call 1

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

Outputs
re

Calls

2 calls:

83.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
23.3%	1	`re`
23.3%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

2 calls:

0.0ms	re
0.0ms	im

Results

Accuracy	Segments	Branch
5.0%	1	`im`
5.0%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch87.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3.162694160813225e+102	1.1483028553166034e+108
63.0ms	1.7070225808270885e-8	148.67254338136104

Results

30.0ms

304×

valid

Compiler

Compiled 449 to 361 computations (19.6% saved)

Precisions

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

ival-sin: 7.0ms (33.6% of total)

ival-exp: 5.0ms (24% of total)

ival-mult: 5.0ms (24% of total)

ival-sub: 2.0ms (9.6% of total)

ival-add: 2.0ms (9.6% of total)

const: 1.0ms (4.8% of total)

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

bsearch217.0ms (2.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
134.0ms	5.968046565004131e+152	2.5708105948092383e+166
78.0ms	1.7070225808270885e-8	148.67254338136104

Results

200.0ms

320×

valid

Compiler

Compiled 439 to 355 computations (19.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-sin: 119.0ms (62.5% of total)

ival-mult: 62.0ms (32.6% of total)

ival-exp: 5.0ms (2.6% of total)

ival-sub: 2.0ms (1.1% of total)

ival-add: 2.0ms (1.1% of total)

const: 1.0ms (0.5% of total)

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

bsearch162.0ms (1.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
160.0ms	1.7070225808270885e-8	148.67254338136104

Results

84.0ms

160×

valid

Compiler

Compiled 179 to 145 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-exp: 71.0ms (89.9% of total)

ival-sin: 4.0ms (5.1% of total)

ival-mult: 2.0ms (2.5% of total)

ival-sub: 1.0ms (1.3% of total)

ival-add: 1.0ms (1.3% of total)

const: 0.0ms (0% of total)

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

bsearch122.0ms (1.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
121.0ms	87014341.54643166	16159376728.812902

Results

11.0ms

112×

valid

Compiler

Compiled 180 to 141 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sin: 3.0ms (42.1% of total)

ival-mult: 2.0ms (28.1% of total)

ival-sub: 1.0ms (14% of total)

ival-exp: 1.0ms (14% of total)

ival-add: 1.0ms (14% of total)

const: 0.0ms (0% of total)

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

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
11×	`+-commutative`
3×	`1-exp`
1×	`sub-neg`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	599
1	104	599
2	106	599
3	107	599

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.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 (neg.f64 im)) (exp.f64 im)))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
(if (<=.f64 im #s(literal 3039929748475085/1125899906842624 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816 binary64)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))))
(if (<=.f64 im #s(literal 2871044762448691/562949953421312 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 26500000000000001202394816837153440112746600332278117351033989166343048815743921120916149049155174113539146926539333908649239696321339382235102030298349568 binary64)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))))
(if (<=.f64 im #s(literal 5404319552844595/2251799813685248 binary64)) (sin.f64 re) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(if (<=.f64 im #s(literal 15000000000 binary64)) (sin.f64 re) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) re)
re
#s(literal 2 binary64)

Outputs
(*.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 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (sin.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
(.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 3039929748475085/1125899906842624 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816 binary64)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))))
(if (<=.f64 im #s(literal 2871044762448691/562949953421312 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 26500000000000001202394816837153440112746600332278117351033989166343048815743921120916149049155174113539146926539333908649239696321339382235102030298349568 binary64)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))))
(if (<=.f64 im #s(literal 5404319552844595/2251799813685248 binary64)) (sin.f64 re) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(if (<=.f64 im #s(literal 15000000000 binary64)) (sin.f64 re) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
(.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) re)
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
re
#s(literal 2 binary64)

soundness1.2s (13%)

Rules

1037×	`log1p-expm1-u`
1037×	`expm1-log1p-u`
989×	`fma-neg`
925×	`fma-define`
850×	`distribute-lft-in`

Iterations

Useful iterations: 1 (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
0	466	8059
1	1139	7819
2	3484	7708
0	197	2980
1	544	2705
2	1692	2611
3	4451	2562
4	7012	2555
0	18	100
1	222	100
2	3374	100
0	347	5724
1	870	5455
2	3031	5146
0	21	99
1	242	95
2	3064	95

Stop Event

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

Compiler

Compiled 666 to 435 computations (34.7% saved)

preprocess181.0ms (2%)

Remove

(negabs re)

(abs im)

Compiler

Compiled 782 to 530 computations (32.2% saved)

Iter	Nodes	Cost
0	20	236
1	40	236
2	94	236
3	159	236
4	187	236
5	222	236
6	254	236
7	265	236
8	267	236
9	272	236
10	272	236

Iter	Nodes	Cost
0	20	236
1	40	236
2	94	236
3	159	236
4	187	236
5	222	236
6	254	236
7	265	236
8	267	236
9	272	236
10	272	236

analyze0.0ms (0%)

sample1.7s (18.7%)

preprocess254.0ms (2.7%)

explain390.0ms (4.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize219.0ms (2.4%)

series18.0ms (0.2%)

rewrite152.0ms (1.6%)

simplify113.0ms (1.2%)

eval46.0ms (0.5%)

prune41.0ms (0.4%)

localize398.0ms (4.3%)

series12.0ms (0.1%)

rewrite114.0ms (1.2%)

simplify196.0ms (2.1%)

eval150.0ms (1.6%)

prune208.0ms (2.2%)

localize369.0ms (4%)

series16.0ms (0.2%)

rewrite151.0ms (1.6%)

simplify141.0ms (1.5%)

eval82.0ms (0.9%)

prune320.0ms (3.5%)

localize724.0ms (7.8%)

series17.0ms (0.2%)

rewrite180.0ms (1.9%)

simplify136.0ms (1.5%)

eval134.0ms (1.4%)

prune83.0ms (0.9%)

regimes53.0ms (0.6%)

regimes52.0ms (0.6%)

regimes80.0ms (0.9%)

regimes58.0ms (0.6%)

regimes286.0ms (3.1%)

regimes149.0ms (1.6%)

regimes44.0ms (0.5%)

regimes21.0ms (0.2%)

regimes7.0ms (0.1%)

regimes12.0ms (0.1%)

regimes86.0ms (0.9%)

regimes1.0ms (0%)

bsearch87.0ms (0.9%)

bsearch217.0ms (2.3%)

bsearch162.0ms (1.8%)

bsearch122.0ms (1.3%)

simplify28.0ms (0.3%)

soundness1.2s (13%)

preprocess181.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	236
1	40	236
2	94	236
3	159	236
4	187	236
5	222	236
6	254	236
7	265	236
8	267	236
9	272	236
10	272	236