Metrics for math.exp on complex, imaginary part

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.2s (17.2%)

Results

790.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 438.0ms

ival-sin: 199.0ms (45.4% of total)

ival-exp: 122.0ms (27.8% of total)

ival-mult: 107.0ms (24.4% of total)

const: 7.0ms (1.6% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess151.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

73×	`fma-define`
39×	`fma-neg`
30×	`associate-r`
26×	`unsub-neg`
24×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	163
1	46	161
2	86	155
3	157	155
4	314	155
5	527	155
6	563	155
7	577	155
8	585	155
9	585	155

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs im)

explain101.0ms (1.5%)

FPErrors

Click to see full error table

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

Results

36.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 11.0ms (58.9% of total)

ival-exp: 4.0ms (21.4% of total)

ival-mult: 4.0ms (21.4% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize33.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(exp.f64 re)
✓	cost-diff	0	(*.f64 (exp.f64 re) (sin.f64 im))
✓	accuracy	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	accuracy	100.0%	(sin.f64 im)
✓	accuracy	100.0%	(exp.f64 re)

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	12	45

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

20.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-sin: 6.0ms (59.4% of total)

ival-exp: 2.0ms (19.8% of total)

ival-mult: 2.0ms (19.8% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

3 → 16

Calls

Call 1

Inputs
#<alt (exp.f64 re)>
#<alt (sin.f64 im)>
#<alt (*.f64 (exp.f64 re) (sin.f64 im))>

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(* (exp re) (sin im))
0.0ms	im	@	0	(* (exp re) (sin im))
0.0ms	re	@	-inf	(* (exp re) (sin im))
0.0ms	re	@	0	(* (exp re) (sin im))
0.0ms	im	@	-inf	(* (exp re) (sin im))

rewrite204.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	101	37
2	1105	37

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

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

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

637×	`distribute-lft-in`
556×	`distribute-rgt-in`
386×	`fma-neg`
332×	`*-commutative`
327×	`prod-exp`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	318	3144
1	632	2843
2	2033	2794
3	5730	2777

Stop Event

1×	node limit

Counts

117 → 164

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))
(*.f64 im (exp.f64 re))
(.f64 im (+.f64 (exp.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/120 binary64) (exp.f64 re))))))))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(+.f64 #s(literal 0 binary64) (exp.f64 re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 re)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 re)))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64))
(*.f64 (exp.f64 re) #s(literal 1 binary64))
(*.f64 (exp.f64 re) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (exp.f64 re))
(*.f64 (cbrt.f64 (exp.f64 re)) (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 re)))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) re))) (pow.f64 (E.f64) (.f64 #s(literal 1/3 binary64) re)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 1/2 binary64) re)) (pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 re))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 re #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 re #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (.f64 re #s(literal 3 binary64))))) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 re #s(literal 3 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) re)) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (E.f64))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 re)) #s(literal 2 binary64))
(pow.f64 (E.f64) re)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re))
(pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 re))
(pow.f64 (exp.f64 (sqrt.f64 re)) (*.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 re))) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 re))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (cbrt.f64 re)) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 (sqrt.f64 re))) (sqrt.f64 (sqrt.f64 re)))
(sqrt.f64 (exp.f64 (*.f64 re #s(literal 2 binary64))))
(log.f64 (exp.f64 (exp.f64 re)))
(cbrt.f64 (exp.f64 (*.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (exp.f64 re)))
(log1p.f64 (expm1.f64 (exp.f64 re)))
(+.f64 #s(literal 0 binary64) (sin.f64 im))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (+.f64 #s(literal 1 binary64) im)) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 #s(literal 1 binary64) im)) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 im) #s(literal 1 binary64))
(*.f64 (sin.f64 im) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (sin.f64 im))
(*.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 im)))
(*.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (sin.f64 im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sin.f64 im))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 im) (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (sin.f64 im))))
(pow.f64 (sin.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sin.f64 im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sin.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 im)))) (sqrt.f64 (log.f64 (sin.f64 im))))
(sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 im)))
(cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 im)))
(log1p.f64 (expm1.f64 (sin.f64 im)))
(exp.f64 (log.f64 (sin.f64 im)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 im))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 re) (sin.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (+.f64 re (log.f64 (sin.f64 im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im))))) (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 2 binary64)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 im (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(+.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(+.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))
(fma.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 im)) (sin.f64 im))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))
(fma.f64 re (fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im)) (sin.f64 im))
(fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 im (exp.f64 re))
(.f64 im (+.f64 (exp.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
(.f64 im (.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (exp.f64 re)))
(.f64 (exp.f64 re) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (exp.f64 re)))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (exp.f64 re)) (exp.f64 re)))
(.f64 im (.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/120 binary64) (exp.f64 re))))))))
(.f64 im (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/120 binary64) (exp.f64 re))))))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) (exp.f64 re))) (exp.f64 re)))
(.f64 im (+.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (exp.f64 re)) (.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (exp.f64 re)) (pow.f64 im #s(literal 4 binary64)))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (exp.f64 re)))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(exp.f64 re)
(+.f64 #s(literal 0 binary64) (exp.f64 re))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(exp.f64 re)
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(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 re)))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64))
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(exp.f64 re)
(*.f64 (exp.f64 re) #s(literal 1 binary64))
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(exp.f64 re)
(*.f64 (exp.f64 re) (log.f64 (E.f64)))
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(exp.f64 re)
(*.f64 (cbrt.f64 (exp.f64 re)) (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 re)))
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(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
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(.f64 (pow.f64 (E.f64) (.f64 re #s(literal 2/3 binary64))) (pow.f64 (E.f64) (*.f64 re #s(literal 1/3 binary64))))
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(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (.f64 re #s(literal 3 binary64))))) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 re #s(literal 3 binary64))))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) re))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) re))))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
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(*.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (.f64 re #s(literal 3 binary64))))) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 re #s(literal 3 binary64))))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) re))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) re))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
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(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) re)) (E.f64))
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(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (E.f64))
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(pow.f64 (exp.f64 re) #s(literal 1 binary64))
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(pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(exp.f64 re)
(pow.f64 (exp.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(exp.f64 re)
(pow.f64 (exp.f64 (*.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64))
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(exp.f64 re)
(pow.f64 (sqrt.f64 (exp.f64 re)) #s(literal 2 binary64))
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(pow.f64 (E.f64) re)
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(exp.f64 re)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re))
(pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 re))
(pow.f64 (exp.f64 (sqrt.f64 re)) (*.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 re))
(pow.f64 (exp.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 re))) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 re))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (cbrt.f64 re)) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (fabs.f64 (cbrt.f64 re))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 (sqrt.f64 re))) (sqrt.f64 (sqrt.f64 re)))
(sqrt.f64 (exp.f64 (*.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(exp.f64 re)
(log.f64 (exp.f64 (exp.f64 re)))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(exp.f64 re)
(cbrt.f64 (exp.f64 (*.f64 re #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(exp.f64 re)
(expm1.f64 (log1p.f64 (exp.f64 re)))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(exp.f64 re)
(log1p.f64 (expm1.f64 (exp.f64 re)))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(exp.f64 re)
(+.f64 #s(literal 0 binary64) (sin.f64 im))
(sin.f64 im)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 1 binary64))
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(-.f64 (.f64 (sin.f64 (+.f64 #s(literal 1 binary64) im)) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 #s(literal 1 binary64) im)) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 im) #s(literal 1 binary64))
(sin.f64 im)
(*.f64 (sin.f64 im) (log.f64 (E.f64)))
(sin.f64 im)
(*.f64 #s(literal 1 binary64) (sin.f64 im))
(sin.f64 im)
(*.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 im)))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sin.f64 im))
(sin.f64 im)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)))
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(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 3 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 im) (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 3 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (sin.f64 im))))
(pow.f64 (sin.f64 im) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 2 binary64))
(sin.f64 im)
(pow.f64 (E.f64) (log.f64 (sin.f64 im)))
(sin.f64 im)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sin.f64 im))))
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(sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))
(sin.f64 im)
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(sin.f64 im)
(cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))
(sin.f64 im)
(expm1.f64 (log1p.f64 (sin.f64 im)))
(sin.f64 im)
(log1p.f64 (expm1.f64 (sin.f64 im)))
(sin.f64 im)
(exp.f64 (log.f64 (sin.f64 im)))
(sin.f64 im)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)))
(sin.f64 im)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 im))) #s(literal 1/3 binary64)))
(sin.f64 im)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 im))) #s(literal 2 binary64)))
(sin.f64 im)
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 re) (sin.f64 im)))
(*.f64 (sin.f64 im) (exp.f64 re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (sin.f64 im) (exp.f64 re)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (sin.f64 im) (exp.f64 re))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (.f64 (sin.f64 im) (exp.f64 re))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 1 binary64))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 3 binary64))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) #s(literal 2 binary64))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (E.f64) (+.f64 re (log.f64 (sin.f64 im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im))))) (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2 binary64)))
(*.f64 (sin.f64 im) (exp.f64 re))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))
(*.f64 (sin.f64 im) (exp.f64 re))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3 binary64)))
(*.f64 (sin.f64 im) (exp.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 3 binary64)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 re (log.f64 (sin.f64 im)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 im) (exp.f64 re))

eval26.0ms (0.4%)

Compiler: Compiled 2007 to 571 computations (71.5% saved)

prune91.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	159	5	164
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	6	165

Accuracy

100.0%

Counts

165 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im))
▶	56.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
▶	45.1%	(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	73.3%	(*.f64 (exp.f64 re) im)
▶	45.1%	(sin.f64 im)

Compiler

Compiled 107 to 77 computations (28% saved)

localize230.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
✓	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(*.f64 re #s(literal 1/6 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
✓	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(*.f64 re #s(literal 1/2 binary64))
	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) re)
✓	cost-diff	0	(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
	cost-diff	0	(sin.f64 im)
	cost-diff	0	(exp.f64 re)
✓	cost-diff	0	(*.f64 (exp.f64 re) im)
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
✓	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	94.4%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im))
✓	accuracy	100.0%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	90.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) re)
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	100.0%	(*.f64 (exp.f64 re) im)
	accuracy	100.0%	(exp.f64 re)

Rules

956×	`fma-define`
178×	`distribute-lft-in`
165×	`distribute-rgt-in`
159×	`associate-r`
120×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	485
1	63	413
2	148	413
3	358	413
4	740	413
5	1503	413
6	1979	413
7	1991	413

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

85.0ms

256×

valid

Compiler

Compiled 141 to 23 computations (83.7% saved)

Precisions

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

ival-mult: 31.0ms (63.2% of total)

ival-add: 10.0ms (20.4% of total)

ival-sin: 6.0ms (12.2% of total)

ival-exp: 2.0ms (4.1% of total)

const: 1.0ms (2% of total)

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

series153.0ms (2.3%)

Counts

12 → 189

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
126.0ms	re	@	-inf	(* re 1/2)
2.0ms	im	@	0	(* (+ 1 (* re (+ 1 (* re 1/2)))) (sin im))
1.0ms	im	@	0	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (sin im))
1.0ms	im	@	inf	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (sin im))
1.0ms	im	@	inf	(* (+ 1 (* re (+ 1 (* re 1/2)))) (sin im))

rewrite321.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	295
1	463	251
2	6742	251

Stop Event

1×	node limit

Counts

12 → 289

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 re) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (exp.f64 re) im))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) im)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) im)))
(exp.f64 (+.f64 re (log.f64 im)))
(exp.f64 (*.f64 (+.f64 re (log.f64 im)) #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (*.f64 (sin.f64 im) re) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) re)))
(/.f64 (*.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) re))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (sin.f64 im)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) re)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) (sin.f64 im)) (-.f64 #s(literal 1 binary64) re))
(pow.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))))
(exp.f64 (+.f64 (log.f64 (sin.f64 im)) (log1p.f64 re)))
(exp.f64 (*.f64 (+.f64 (log.f64 (sin.f64 im)) (log1p.f64 re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 re #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 re)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) re))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) re)) (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) re)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) re)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) re))
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(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
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simplify221.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

531×	`associate-r`
485×	`fma-neg`
480×	`associate-l`
469×	`fma-define`
406×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	794	15872
1	2086	14178
2	7323	14172

Stop Event

1×	node limit

Counts

478 → 489

Calls

Call 1

Inputs
im
(+.f64 im (*.f64 im re))
(+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 re (sin.f64 im))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (sin.f64 im))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(*.f64 im (+.f64 #s(literal 1 binary64) re))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) re)))))))))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
#s(literal 1 binary64)
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (sin.f64 im)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (/.f64 (sin.f64 im) re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (+.f64 (/.f64 (sin.f64 im) re) (/.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (+.f64 (/.f64 (sin.f64 im) re) (/.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (sin.f64 im)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (/.f64 (sin.f64 im) re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re))) re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re))) re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))) (.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))))))))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (sin.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (sin.f64 im)))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 im) re))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 im) re)) (/.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 im) re)) (+.f64 (/.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64))) (/.f64 (sin.f64 im) (pow.f64 re #s(literal 3 binary64)))))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (sin.f64 im)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 im) re)) (.f64 #s(literal -1/6 binary64) (sin.f64 im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (/.f64 (sin.f64 im) re)) re)) (*.f64 #s(literal -1/6 binary64) (sin.f64 im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re))) re)) (.f64 #s(literal 1/2 binary64) (sin.f64 im))) re)) (.f64 #s(literal -1/6 binary64) (sin.f64 im)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))) (.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))))))))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))
(.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(literal 1/6 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(literal 1/6 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
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(pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 re #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re))) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))))
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/12 binary64) re)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/12 binary64) re))) (+.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re))))
(/.f64 (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 re #s(literal 1/6 binary64))) (sqrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 1/2 binary64))

Outputs
im
(+.f64 im (*.f64 im re))
(fma.f64 im re im)
(+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(fma.f64 re (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) im)
(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 im re) (.f64 im #s(literal 1/2 binary64)))))))
(fma.f64 re (fma.f64 re (fma.f64 im #s(literal 1/2 binary64) (.f64 im (.f64 re #s(literal 1/6 binary64)))) im) im)
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(*.f64 im (exp.f64 re))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 re (sin.f64 im))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(*.f64 re (sin.f64 im))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(neg.f64 (*.f64 re (fma.f64 #s(literal -1 binary64) (sin.f64 im) (/.f64 (neg.f64 (sin.f64 im)) re))))
(.f64 re (.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(neg.f64 (*.f64 re (fma.f64 #s(literal -1 binary64) (sin.f64 im) (/.f64 (neg.f64 (sin.f64 im)) re))))
(.f64 re (.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(neg.f64 (*.f64 re (fma.f64 #s(literal -1 binary64) (sin.f64 im) (/.f64 (neg.f64 (sin.f64 im)) re))))
(.f64 re (.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re))))
(*.f64 im (+.f64 #s(literal 1 binary64) re))
(+.f64 im (*.f64 im re))
(fma.f64 im re im)
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))))
(.f64 im (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 1/120 binary64)))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64)))) re)))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) re)))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/120 binary64) re)))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) (+.f64 re #s(literal 1 binary64)))) re)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
#s(literal 1 binary64)
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (.f64 re (+.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (sin.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (/.f64 (sin.f64 im) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (/.f64 (sin.f64 im) re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (+.f64 (/.f64 (sin.f64 im) re) (/.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (/.f64 (sin.f64 im) re)) (/.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (+.f64 (/.f64 (sin.f64 im) re) (/.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (/.f64 (sin.f64 im) re)) (/.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (sin.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 im) (pow.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 im)) (/.f64 (sin.f64 im) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (/.f64 (sin.f64 im) re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re))) re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 im) (/.f64 (neg.f64 (sin.f64 im)) re)) re) (.f64 #s(literal 1/2 binary64) (sin.f64 im))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re))) re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re))) re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 im) (/.f64 (neg.f64 (sin.f64 im)) re)) re) (.f64 #s(literal 1/2 binary64) (sin.f64 im))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re))) re)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
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(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))))
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(/.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))
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(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
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(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
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(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(log.f64 (exp.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (*.f64 re #s(literal 1/2 binary64))))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(exp.f64 (.f64 (log1p.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) (sqrt.f64 (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re))) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/12 binary64) re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) (neg.f64 (*.f64 re #s(literal 1/12 binary64))))) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/12 binary64) re))) (+.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) (neg.f64 (*.f64 re #s(literal 1/12 binary64))))) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) (neg.f64 (*.f64 re #s(literal 1/12 binary64))))) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) (neg.f64 (*.f64 re #s(literal 1/12 binary64))))) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) (neg.f64 (*.f64 re #s(literal 1/12 binary64)))))))
(/.f64 (+.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal -1/8 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) (.f64 re #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 re #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) re))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 re #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 re #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 re #s(literal 1/6 binary64))) (sqrt.f64 (.f64 re #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))

eval143.0ms (2.1%)

Compiler: Compiled 12919 to 2559 computations (80.2% saved)

prune191.0ms (2.8%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	746	12	758
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	746	18	764

Accuracy

100.0%

Counts

764 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.7%	(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
	35.8%	(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
	25.4%	(+.f64 im (*.f64 im re))
	25.9%	(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
	37.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	61.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im))
▶	38.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) im)
	33.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	56.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
▶	34.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
	26.5%	(.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	45.1%	(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
▶	45.1%	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (sin.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	73.3%	(*.f64 (exp.f64 re) im)
▶	4.1%	(*.f64 re (sin.f64 im))
✓	45.1%	(sin.f64 im)
▶	23.6%	im

Compiler

Compiled 361 to 255 computations (29.4% saved)

localize370.0ms (5.4%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(*.f64 re (sin.f64 im))
	cost-diff	-12544	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
	cost-diff	0	(*.f64 re #s(literal 1/6 binary64))
✓	cost-diff	-12544	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
	cost-diff	0	(*.f64 re #s(literal 1/2 binary64))
	cost-diff	0	(sin.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) re)
✓	cost-diff	128	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (sin.f64 im))
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	99.8%	(*.f64 re (sin.f64 im))
	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	94.4%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) im)
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
	accuracy	100.0%	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
✓	accuracy	90.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) re)
	accuracy	100.0%	(sin.f64 im)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re))
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (sin.f64 im))

Rules

708×	`fma-define`
545×	`distribute-lft-in`
474×	`distribute-rgt-in`
452×	`distribute-rgt-neg-in`
430×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	464
1	68	392
2	165	392
3	408	392
4	954	392
5	2328	392
6	2827	392
7	4417	392
8	6256	392

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

136.0ms

256×

valid

Compiler

Compiled 141 to 25 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 88.0ms (83.7% of total)

ival-add: 10.0ms (9.5% of total)

ival-sin: 6.0ms (5.7% of total)

const: 1.0ms (1% of total)

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

series20.0ms (0.3%)

Counts

6 → 97

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	re	@	-inf	(* (+ 1 (* re (+ 1 (* re 1/2)))) im)
3.0ms	im	@	inf	(* (+ 1 (* re (+ 1 (* re 1/2)))) im)
1.0ms	im	@	0	(* (+ 1 (* re (+ 1 (* re 1/2)))) im)
1.0ms	im	@	0	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) im)
0.0ms	im	@	inf	(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) im)

rewrite189.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`log1p-expm1-u`
223×	`expm1-log1p-u`
220×	`associate-r`
218×	`add-cube-cbrt`
217×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	155
1	485	135
2	7167	135

Stop Event

1×	node limit

Counts

6 → 152

Calls

Call 1

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

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

simplify190.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

432×	`associate-+l+`
397×	`associate-+r+`
367×	`times-frac`
286×	`associate-r`
279×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	8825
1	1234	7756
2	4090	7672

Stop Event

1×	node limit

Counts

249 → 267

Calls

Call 1

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

Outputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 re (sin.f64 im))
(*.f64 (sin.f64 im) re)
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) re (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 im) #s(literal 1 binary64))))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) re (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 im) #s(literal 1 binary64))))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) re (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 im) #s(literal 1 binary64))))
(*.f64 re (sin.f64 im))
(*.f64 (sin.f64 im) re)
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) re (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 im) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) re (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 im) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (sin.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re)))))
(*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) re (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 im) #s(literal 1 binary64))))
(*.f64 im (+.f64 #s(literal 1 binary64) re))
(*.f64 im (+.f64 re #s(literal 1 binary64)))
(fma.f64 im re im)
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))
(.f64 im (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64))))))
(.f64 im (.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))
(.f64 im (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))))
(.f64 im (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 1/120 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64)))) re)))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) re)))))))))
(.f64 im (+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 re #s(literal 1/120 binary64)))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) re)))
(.f64 im (+.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(+.f64 re #s(literal 1 binary64))
#s(literal 2 binary64)
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re)))
(+.f64 re #s(literal 2 binary64))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re)))
(+.f64 re #s(literal 2 binary64))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re)))
(+.f64 re #s(literal 2 binary64))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re)))
(+.f64 re #s(literal 2 binary64))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re)))
(+.f64 re #s(literal 2 binary64))
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) re)))
(+.f64 re #s(literal 2 binary64))
im
(+.f64 im (*.f64 im re))
(*.f64 im (+.f64 re #s(literal 1 binary64)))
(fma.f64 im re im)
(+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))
(.f64 im (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 im re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal 1/2 binary64) (/.f64 im re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (+.f64 (/.f64 im re) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (/.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 im #s(literal 1/2 binary64) (/.f64 im re)) (/.f64 im (pow.f64 re #s(literal 2 binary64)))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (+.f64 (/.f64 im re) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (/.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 im #s(literal 1/2 binary64) (/.f64 im re)) (/.f64 im (pow.f64 re #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))
(.f64 im (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 im re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal 1/2 binary64) (/.f64 im re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal -1 binary64) (/.f64 im re))) re)) (*.f64 #s(literal 1/2 binary64) im)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (+.f64 im (/.f64 im re))) re) (*.f64 im #s(literal 1/2 binary64))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 im (/.f64 im re))) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal 1/2 binary64) (/.f64 (+.f64 im (/.f64 im re)) re)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal -1 binary64) (/.f64 im re))) re)) (*.f64 #s(literal 1/2 binary64) im)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (+.f64 im (/.f64 im re))) re) (*.f64 im #s(literal 1/2 binary64))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 im (/.f64 im re))) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal 1/2 binary64) (/.f64 (+.f64 im (/.f64 im re)) re)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
im
(+.f64 im (*.f64 im re))
(*.f64 im (+.f64 re #s(literal 1 binary64)))
(fma.f64 im re im)
(+.f64 im (.f64 re (+.f64 im (.f64 #s(literal 1/2 binary64) (*.f64 im re)))))
(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
(*.f64 im (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
(+.f64 im (.f64 re (+.f64 im (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 im re) (.f64 im #s(literal 1/2 binary64)))))))
(fma.f64 re (fma.f64 re (fma.f64 im #s(literal 1/2 binary64) (.f64 re (.f64 im #s(literal 1/6 binary64)))) im) im)
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)
(.f64 #s(literal 1/6 binary64) (.f64 im (pow.f64 re #s(literal 3 binary64))))
(.f64 (.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(.f64 im (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (*.f64 #s(literal 1/2 binary64) (/.f64 im re))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) im (.f64 #s(literal 1/2 binary64) (/.f64 im re))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 im #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 im re))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) im) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im re)) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) im (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 im #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (/.f64 im (pow.f64 re #s(literal 2 binary64))) (.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))))
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(*.f64 (sin.f64 im) re)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(*.f64 (sin.f64 im) re)
(expm1.f64 (log1p.f64 (*.f64 re (sin.f64 im))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) re)))
(+.f64 (*.f64 (sin.f64 im) re) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 re (sin.f64 im))))
(*.f64 (sin.f64 im) re)
(exp.f64 (log.f64 (*.f64 re (sin.f64 im))))
(*.f64 (sin.f64 im) re)
(exp.f64 (.f64 (log.f64 (.f64 re (sin.f64 im))) #s(literal 1 binary64)))
(*.f64 (sin.f64 im) re)

eval96.0ms (1.4%)

Compiler: Compiled 10082 to 2445 computations (75.7% saved)

prune382.0ms (5.6%)

Pruning

21 alts after pruning (10 fresh and 11 done)

	Pruned	Kept	Total
New	626	3	629
Fresh	0	7	7
Picked	0	5	5
Done	0	6	6
Total	626	21	647

Accuracy

100.0%

Counts

647 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.7%	(+.f64 im (.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re))))
	35.8%	(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
	25.4%	(+.f64 im (*.f64 im re))
▶	25.9%	(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
▶	37.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	61.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im))
✓	38.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) im)
	33.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	56.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
✓	34.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
	26.5%	(.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	45.1%	(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
✓	45.1%	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (sin.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	73.3%	(*.f64 (exp.f64 re) im)
	6.4%	(.f64 re (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
▶	6.4%	(.f64 re (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
✓	4.1%	(*.f64 re (sin.f64 im))
▶	5.7%	(*.f64 re im)
✓	45.1%	(sin.f64 im)
✓	23.6%	im

Compiler

Compiled 370 to 262 computations (29.2% saved)

localize288.0ms (4.2%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
✓	cost-diff	-6144	(.f64 re (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
✓	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	cost-diff	-6272	(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
✓	cost-diff	0	(pow.f64 im #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
✓	cost-diff	-6272	(+.f64 im (.f64 (.f64 im #s(literal 1/2 binary64)) re))
✓	cost-diff	-6272	(.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re)))
✓	cost-diff	0	(*.f64 im #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (.f64 im #s(literal 1/2 binary64)) re)
✓	cost-diff	0	(*.f64 re im)
	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	cost-diff	0	(pow.f64 im #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
	cost-diff	0	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
✓	accuracy	99.6%	(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	accuracy	96.7%	(.f64 re (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
✓	accuracy	100.0%	(pow.f64 im #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
✓	accuracy	99.8%	(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 im #s(literal 1/2 binary64)) re)
✓	accuracy	100.0%	(*.f64 im #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 im (.f64 (.f64 im #s(literal 1/2 binary64)) re))
✓	accuracy	99.8%	(.f64 re (+.f64 im (.f64 (*.f64 im #s(literal 1/2 binary64)) re)))
✓	accuracy	100.0%	(*.f64 re im)
	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
✓	accuracy	99.8%	(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
✓	accuracy	94.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))

Rules

1122×	`associate-+r+`
1098×	`distribute-lft-in`
988×	`distribute-rgt-in`
696×	`fma-define`
389×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	659
1	93	565
2	261	565
3	825	556
4	3188	556
5	3913	556
6	4054	556
7	4060	556
8	4060	556

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

145.0ms

256×

valid

Compiler

Compiled 195 to 30 computations (84.6% saved)

Precisions

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

ival-mult: 22.0ms (54.1% of total)

ival-pow: 9.0ms (22.1% of total)

ival-add: 8.0ms (19.7% of total)

const: 1.0ms (2.5% of total)

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

series32.0ms (0.5%)

Counts

14 → 186

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite139.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

299×	`associate-r`
252×	`log1p-expm1-u`
252×	`expm1-log1p-u`
250×	`add-cube-cbrt`
246×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	347
1	552	301

Stop Event

1×	node limit

Counts

14 → 352

Calls

Call 1

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

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

simplify309.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

535×	`fma-define`
433×	`cancel-sign-sub-inv`
429×	`fma-neg`
347×	`distribute-rgt-in`
344×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	828	20246
1	2183	19415
2	6288	18893

Stop Event

1×	node limit

Counts

538 → 478

Calls

Call 1

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

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

eval147.0ms (2.2%)

Compiler: Compiled 13271 to 2203 computations (83.4% saved)

prune183.0ms (2.7%)

Pruning

20 alts after pruning (9 fresh and 11 done)

	Pruned	Kept	Total
New	633	6	639
Fresh	2	3	5
Picked	4	1	5
Done	1	10	11
Total	640	20	660

Accuracy

100.0%

Counts

660 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.8%	(+.f64 im (.f64 re (+.f64 im (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im re)) (*.f64 #s(literal 1/2 binary64) im))))))
	30.6%	(+.f64 im (.f64 re (.f64 re (*.f64 im #s(literal 1/2 binary64)))))
	25.4%	(+.f64 im (*.f64 re im))
	16.3%	(.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 #s(literal -1/6 binary64) re))
	9.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
✓	61.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im))
✓	38.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) im)
	33.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	56.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (sin.f64 im))
✓	34.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
	26.5%	(.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
✓	45.1%	(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
✓	45.1%	(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) re)) (sin.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	73.3%	(*.f64 (exp.f64 re) im)
	6.4%	(.f64 re (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im)))))
✓	5.7%	(*.f64 re im)
	9.6%	(.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))))
✓	45.1%	(sin.f64 im)
✓	23.6%	im

Compiler

Compiled 506 to 250 computations (50.6% saved)

regimes222.0ms (3.3%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

109.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
87.0ms	re
9.0ms	(sin.f64 im)
9.0ms	im
7.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
100.0%	1	`(exp.f64 re)`
100.0%	1	`(sin.f64 im)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes36.0ms (0.5%)

Counts

26 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.4%	4	`re`
82.6%	2	`im`
94.7%	3	`(exp.f64 re)`
85.0%	4	`(sin.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes15.0ms (0.2%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	re
7.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.2%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	re
5.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes9.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	re
4.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes17.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	im
4.0ms	re
4.0ms	(sin.f64 im)

Results

Accuracy	Segments	Branch
54.6%	3	`(sin.f64 im)`
55.0%	2	`im`
60.7%	2	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	im
4.0ms	re

Results

Accuracy	Segments	Branch
38.7%	1	`im`
38.7%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
34.6%	1	`im`
34.6%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
30.6%	1	`im`
30.6%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
im
(*.f64 re im)
(+.f64 im (*.f64 im re))
(+.f64 im (*.f64 re im))

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

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
25.4%	1	`im`
25.4%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
im
(*.f64 re im)

Outputs
im
(*.f64 re im)

Calls

2 calls:

2.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
25.8%	2	`im`
25.7%	2	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
im

Outputs
im

Calls

2 calls:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
23.6%	1	`re`
23.6%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch55.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
23.0ms	4.642611664676767e+89	7.098973626717418e+96
11.0ms	0.4056200002455744	48.68471776058648
17.0ms	-0.21373878158928697	-2.6010191408025053e-19

Results

37.0ms

416×

valid

Compiler

Compiled 688 to 503 computations (26.9% saved)

Precisions

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

ival-sin: 9.0ms (51.9% of total)

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

ival-mult: 3.0ms (17.3% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.4056200002455744	48.68471776058648
17.0ms	-0.21373878158928697	-2.6010191408025053e-19

Results

19.0ms

272×

valid

Compiler

Compiled 386 to 281 computations (27.2% saved)

Precisions

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

ival-sin: 5.0ms (48.1% of total)

ival-exp: 3.0ms (28.9% of total)

ival-mult: 2.0ms (19.2% of total)

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5002323562007247	1.3915674973571027e+21
0.0ms	0.8075593068318394	1.0

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5002323562007247	1.3915674973571027e+21
0.0ms	0.8075593068318394	1.0

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.1534326776196843e+22	4.786529574699534e+25

Results

9.0ms

128×

valid

Compiler

Compiled 196 to 145 computations (26% saved)

Precisions

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

ival-sin: 4.0ms (66.3% of total)

ival-exp: 1.0ms (16.6% of total)

ival-mult: 1.0ms (16.6% of total)

const: 0.0ms (0% of total)

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

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	12139982875866258.0	26082256400431108.0

Results

6.0ms

80×

valid

Compiler

Compiled 62 to 44 computations (29% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sin: 3.0ms (76.4% of total)

ival-exp: 1.0ms (25.5% of total)

ival-mult: 1.0ms (25.5% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
10×	`if-if-or-not`
8×	`+-commutative`
4×	`not-or`
3×	`1-exp`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	654
1	108	644
2	111	644
3	113	640
4	114	640
5	115	640

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -8358680908399641/144115188075855872 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 7385903388887613/18014398509481984 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im)) (if (<=.f64 re #s(literal 6999999999999999756176080908303330550388436153587146852281929026204230911672310587175989351022592 binary64)) (.f64 (exp.f64 re) im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im)))))
(if (<=.f64 re #s(literal -5072854620270127/4611686018427387904 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 7385903388887613/18014398509481984 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (sin.f64 im)) (*.f64 (exp.f64 re) im)))
(if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im)) (*.f64 (exp.f64 re) im)))
(if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (sin.f64 im) (.f64 (exp.f64 re) im)))
(if (<=.f64 re #s(literal 5999999999999999899336704 binary64)) (sin.f64 im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) im))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) im)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
(+.f64 im (.f64 re (.f64 re (*.f64 im #s(literal 1/2 binary64)))))
(+.f64 im (*.f64 im re))
(if (<=.f64 im #s(literal 17200000000000000 binary64)) im (*.f64 re im))
im

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -8358680908399641/144115188075855872 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 7385903388887613/18014398509481984 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im)) (if (<=.f64 re #s(literal 6999999999999999756176080908303330550388436153587146852281929026204230911672310587175989351022592 binary64)) (.f64 (exp.f64 re) im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (sin.f64 im)))))
(if (<=.f64 re #s(literal -8358680908399641/144115188075855872 binary64)) (.f64 (exp.f64 re) im) (if (or (<=.f64 re #s(literal 7385903388887613/18014398509481984 binary64)) (not (<=.f64 re #s(literal 6999999999999999756176080908303330550388436153587146852281929026204230911672310587175989351022592 binary64)))) (.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))) (.f64 (exp.f64 re) im)))
(if (or (<=.f64 re #s(literal -8358680908399641/144115188075855872 binary64)) (not (or (<=.f64 re #s(literal 7385903388887613/18014398509481984 binary64)) (not (<=.f64 re #s(literal 6999999999999999756176080908303330550388436153587146852281929026204230911672310587175989351022592 binary64)))))) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(if (or (<=.f64 re #s(literal -8358680908399641/144115188075855872 binary64)) (and (not (<=.f64 re #s(literal 7385903388887613/18014398509481984 binary64))) (<=.f64 re #s(literal 6999999999999999756176080908303330550388436153587146852281929026204230911672310587175989351022592 binary64)))) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(if (<=.f64 re #s(literal -5072854620270127/4611686018427387904 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 7385903388887613/18014398509481984 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))) (sin.f64 im)) (*.f64 (exp.f64 re) im)))
(if (or (<=.f64 re #s(literal -5072854620270127/4611686018427387904 binary64)) (not (<=.f64 re #s(literal 7385903388887613/18014398509481984 binary64)))) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im)) (*.f64 (exp.f64 re) im)))
(if (or (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 binary64)))) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (.f64 (exp.f64 re) im) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (sin.f64 im) (.f64 (exp.f64 re) im)))
(if (or (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 binary64)))) (*.f64 (exp.f64 re) im) (sin.f64 im))
(if (<=.f64 re #s(literal 5999999999999999899336704 binary64)) (sin.f64 im) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) im))
(if (<=.f64 re #s(literal 5999999999999999899336704 binary64)) (sin.f64 im) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) im)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) im)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(+.f64 im (.f64 re (.f64 re (*.f64 im #s(literal 1/2 binary64)))))
(+.f64 im (*.f64 im re))
(+.f64 im (*.f64 re im))
(if (<=.f64 im #s(literal 17200000000000000 binary64)) im (*.f64 re im))
im

soundness777.0ms (11.4%)

Rules

637×	`distribute-lft-in`
556×	`distribute-rgt-in`
535×	`fma-define`
531×	`associate-r`
485×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	318	3144
1	632	2843
2	2033	2794
3	5730	2777
0	794	15872
1	2086	14178
2	7323	14172
0	828	20246
1	2183	19415
2	6288	18893

Stop Event

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

Compiler

Compiled 306 to 129 computations (57.8% saved)

preprocess65.0ms (1%)

Remove: (negabs im)
Compiler: Compiled 444 to 186 computations (58.1% saved)

Iter	Nodes	Cost
0	22	163
1	46	161
2	86	155
3	157	155
4	314	155
5	527	155
6	563	155
7	577	155
8	585	155
9	585	155

Iter	Nodes	Cost
0	22	163
1	46	161
2	86	155
3	157	155
4	314	155
5	527	155
6	563	155
7	577	155
8	585	155
9	585	155

analyze0.0ms (0%)

sample1.2s (17.2%)

preprocess151.0ms (2.2%)

explain101.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize33.0ms (0.5%)

series6.0ms (0.1%)

rewrite204.0ms (3%)

simplify98.0ms (1.4%)

eval26.0ms (0.4%)

prune91.0ms (1.3%)

localize230.0ms (3.4%)

series153.0ms (2.3%)

rewrite321.0ms (4.7%)

simplify221.0ms (3.2%)

eval143.0ms (2.1%)

prune191.0ms (2.8%)

localize370.0ms (5.4%)

series20.0ms (0.3%)

rewrite189.0ms (2.8%)

simplify190.0ms (2.8%)

eval96.0ms (1.4%)

prune382.0ms (5.6%)

localize288.0ms (4.2%)

series32.0ms (0.5%)

rewrite139.0ms (2%)

simplify309.0ms (4.5%)

eval147.0ms (2.2%)

prune183.0ms (2.7%)

regimes222.0ms (3.3%)

regimes36.0ms (0.5%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

regimes17.0ms (0.3%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch55.0ms (0.8%)

bsearch30.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

bsearch12.0ms (0.2%)

simplify12.0ms (0.2%)

soundness777.0ms (11.4%)

preprocess65.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	163
1	46	161
2	86	155
3	157	155
4	314	155
5	527	155
6	563	155
7	577	155
8	585	155
9	585	155