Metrics for math.exp on complex, real part

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

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 7 to 7 computations (0% saved)

sample1.2s (17.7%)

Memory

-7.5MiB live, 1 165.6MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 759.0ms

ival-cos: 504.0ms (66.4% of total)

ival-exp: 191.0ms (25.2% of total)

ival-mult: 55.0ms (7.2% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess54.0ms (0.8%)

Memory

-0.4MiB live, 75.1MiB allocated

Algorithm

1×	egg-herbie

Rules

111×	`fma-define`
30×	`fmm-def`
23×	`sub-neg`
16×	`associate-r`
14×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	163
1	45	161
2	81	155
3	117	155
4	193	155
5	270	155
6	323	155
7	363	155
8	446	155
9	446	155

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs im)

explain68.0ms (1%)

Memory

32.7MiB live, 146.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

41.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-cos: 12.0ms (42.8% of total)

ival-mult: 10.0ms (35.6% of total)

ival-exp: 6.0ms (21.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify11.0ms (0.2%)

Memory

-28.1MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(cos.f64 im)
✓	cost-diff	(exp.f64 re)
✓	cost-diff	(*.f64 (exp.f64 re) (cos.f64 im))

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	12	45

Stop Event

1×

saturated

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

11.2MiB live, 49.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))

Samples

15.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-cos: 5.0ms (57.9% of total)

ival-exp: 2.0ms (23.1% of total)

ival-mult: 1.0ms (11.6% of total)

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

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

series4.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

3 → 32

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite201.0ms (3%)

Memory

-4.2MiB live, 369.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

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

simplify157.0ms (2.3%)

Memory

-5.3MiB live, 112.5MiB allocated

Algorithm

1×	egg-herbie

Rules

571×	`distribute-lft-in`
500×	`distribute-rgt-in`
380×	`fmm-def`
322×	`prod-exp`
285×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	3260
1	582	3109
2	1858	3068
3	5317	3051

Stop Event

1×	node limit

Counts

133 → 159

Calls

Call 1

Inputs
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.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 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (+.f64 re (log.f64 (cos.f64 im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re (log.f64 (cos.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 re (log.f64 (cos.f64 im))))) (sqrt.f64 (+.f64 re (log.f64 (cos.f64 im)))))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 re))
(+.f64 #s(literal 0 binary64) (exp.f64 re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 re)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 re)))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 re)) #s(literal 1 binary64))
(*.f64 (exp.f64 re) #s(literal 1 binary64))
(*.f64 (exp.f64 re) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (exp.f64 re))
(*.f64 (cbrt.f64 (exp.f64 re)) (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 re)))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) re))) (pow.f64 (E.f64) (.f64 #s(literal 1/3 binary64) re)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 1/2 binary64) re)) (pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 re))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) re))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) re)))) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 re) (cbrt.f64 (exp.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 re))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) re)) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) re)) (E.f64))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 re)) #s(literal 2 binary64))
(pow.f64 (E.f64) re)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re))
(pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 re))
(pow.f64 (exp.f64 (sqrt.f64 re)) (*.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 re))) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 re))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (cbrt.f64 re)) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 re)) (sqrt.f64 (sqrt.f64 re))) (sqrt.f64 (sqrt.f64 re)))
(sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 re)))
(cbrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)))
(expm1.f64 (log1p.f64 (exp.f64 re)))
(log1p.f64 (expm1.f64 (exp.f64 re)))
(+.f64 #s(literal 0 binary64) (cos.f64 im))
(+.f64 (.f64 (cos.f64 (+.f64 #s(literal 1 binary64) im)) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (+.f64 #s(literal 1 binary64) im)) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)))
(*.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 im))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 im) (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 im))))
(pow.f64 (cos.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (cos.f64 im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cos.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 im)))) (sqrt.f64 (log.f64 (cos.f64 im))))
(sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 im)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 im)))
(log1p.f64 (expm1.f64 (cos.f64 im)))
(exp.f64 (log.f64 (cos.f64 im)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 im))) #s(literal 2 binary64)))

Outputs
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64)))))
(fma.f64 re (*.f64 (cos.f64 im) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 im) re) (.f64 (cos.f64 im) #s(literal 1/2 binary64)))))))
(fma.f64 re (fma.f64 re (*.f64 (cos.f64 im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (cos.f64 im)) (cos.f64 im))
(fma.f64 re (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))
(+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 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 1/24 binary64) #s(literal -1/2 binary64))) (exp.f64 re))
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) (.f64 (exp.f64 re) #s(literal 1/24 binary64)))))))
(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 -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (exp.f64 re) #s(literal -1/2 binary64))) (exp.f64 re))
(+.f64 (.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (pow.f64 im #s(literal 4 binary64))))
(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 -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
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eval22.0ms (0.3%)

Memory: -4.9MiB live, 34.8MiB allocated
Compiler: Compiled 1 898 to 539 computations (71.6% saved)

prune66.0ms (1%)

Memory

8.9MiB live, 47.8MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	151	8	159
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	151	9	160

Accuracy

100.0%

Counts

160 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
	55.7%	(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
▶	55.7%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	70.6%	(.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))))))) (cos.f64 im))
	68.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
▶	99.8%	(*.f64 (exp.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	72.4%	(exp.f64 re)
▶	54.5%	(cos.f64 im)

Compiler

Compiled 165 to 117 computations (29.1% saved)

simplify70.0ms (1%)

Memory

-13.9MiB live, 25.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	-128	(cos.f64 im)
	cost-diff	-128	(*.f64 (exp.f64 re) (cos.f64 im))
	cost-diff	0	(exp.f64 re)
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 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	-128	(cos.f64 im)
✓	cost-diff	0	(*.f64 re #s(literal 1/6 binary64))
	cost-diff	-128	(cos.f64 im)
✓	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	cost-diff	-128	(cos.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 im))
	cost-diff	0	(exp.f64 re)
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
✓	cost-diff	256	(*.f64 (exp.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))

Rules

809×	`fma-define`
802×	`sub-neg`
543×	`fmm-def`
494×	`cancel-sign-sub-inv`
390×	`distribute-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	578
1	66	472
2	162	418
3	363	418
4	1125	418
5	3271	418
6	6273	418

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(exp.f64 re)
re
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 im))
#s(literal 1 binary64)
(cos.f64 im)
im
(cos.f64 im)
im
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
(cos.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))))))) (cos.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)
(cos.f64 im)
im
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
#s(literal 1 binary64)
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im

Outputs
(*.f64 (exp.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(*.f64 (exp.f64 re) (+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal -1 binary64)))
(*.f64 (exp.f64 re) (+.f64 (cos.f64 im) #s(literal 0 binary64)))
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal -1 binary64))
(+.f64 (cos.f64 im) #s(literal 0 binary64))
(cos.f64 im)
(+.f64 #s(literal 1 binary64) (cos.f64 im))
#s(literal 1 binary64)
(cos.f64 im)
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal -1 binary64))
(+.f64 (cos.f64 im) #s(literal 0 binary64))
im
(cos.f64 im)
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal -1 binary64))
(+.f64 (cos.f64 im) #s(literal 0 binary64))
im
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
(cos.f64 im)
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal -1 binary64))
(+.f64 (cos.f64 im) #s(literal 0 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))))))) (cos.f64 im))
(.f64 (cos.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 (cos.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)
(cos.f64 im)
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal -1 binary64))
(+.f64 (cos.f64 im) #s(literal 0 binary64))
im
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
(*.f64 (exp.f64 re) (+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal -1 binary64)))
(*.f64 (exp.f64 re) (+.f64 (cos.f64 im) #s(literal 0 binary64)))
(*.f64 (exp.f64 re) (cos.f64 im))
(+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal -1 binary64)))
(*.f64 (exp.f64 re) (+.f64 (cos.f64 im) #s(literal 0 binary64)))
(exp.f64 re)
re
(cos.f64 im)
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal -1 binary64))
(+.f64 (cos.f64 im) #s(literal 0 binary64))
im

localize106.0ms (1.6%)

Memory

11.4MiB live, 164.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(cos.f64 im)
	accuracy	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	accuracy	99.8%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
✓	accuracy	99.5%	(+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (cos.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	100.0%	(+.f64 re #s(literal 1 binary64))
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	accuracy	100.0%	(cos.f64 im)
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(*.f64 (exp.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	accuracy	99.6%	(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
✓	accuracy	99.4%	(+.f64 #s(literal 1 binary64) (cos.f64 im))

Samples

41.0ms	195×	0	valid
28.0ms	61×	1	valid

Compiler

Compiled 144 to 24 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 17.0ms (35.5% of total)

ival-add: 9.0ms (18.8% of total)

ival-cos: 9.0ms (18.8% of total)

...in/eval/compile.rkt:105:19: 4.0ms (8.4% of total)

ival-exp: 3.0ms (6.3% of total)

ival-sub: 3.0ms (6.3% of total)

adjust: 2.0ms (4.2% of total)

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

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

...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

12 → 196

Calls

Call 1

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

Outputs
#<alt (cos.f64 im)>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))>
#<alt (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (exp.f64 re)>
#<alt (+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))>
#<alt (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))>
#<alt (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.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 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<alt (cos.f64 im)>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 im)>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (+.f64 #s(literal 1 binary64) re)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))))))))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) re)>
#<alt (+.f64 #s(literal 1 binary64) re)>
#<alt (+.f64 #s(literal 1 binary64) re)>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))>
#<alt (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/6 binary64) re)>
#<alt (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (cos.f64 im)>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))>
#<alt (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (exp.f64 re)>
#<alt (+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))>
#<alt (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))>
#<alt (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 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 (cos.f64 im)>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))>
#<alt (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (cos.f64 im)))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re))))>
#<alt (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) (/.f64 (cos.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) (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) (+.f64 (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64))) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (cos.f64 im)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 im) re)) (.f64 #s(literal -1/6 binary64) (cos.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) (cos.f64 im)) (/.f64 (cos.f64 im) re)) re)) (*.f64 #s(literal -1/6 binary64) (cos.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) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re))) re)) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) re)) (.f64 #s(literal -1/6 binary64) (cos.f64 im)))))>
#<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 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))))))>
#<alt (+.f64 #s(literal 1 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 -1/2 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 1/24 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 #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 -1/2 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 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 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 1/24 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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 binary64) (cos.f64 im))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 re))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>

Calls

51 calls:

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

rewrite246.0ms (3.7%)

Memory

-5.4MiB live, 145.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

684×	`log1p-expm1-u`
229×	`expm1-log1p-u`
223×	`add-cube-cbrt`
222×	`add-exp-log`
222×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	310
1	483	242
2	7396	242

Stop Event

1×	node limit

Counts

12 → 388

Calls

Call 1

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

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

simplify316.0ms (4.7%)

Memory

-5.0MiB live, 229.6MiB allocated

Algorithm

1×	egg-herbie

Rules

597×	`associate-r`
552×	`fma-define`
548×	`associate-l`
489×	`distribute-rgt-in`
475×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	886	19664
1	2163	18679

Stop Event

1×	node limit

Counts

584 → 574

Calls

Call 1

Inputs
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.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 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 re (cos.f64 im))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (cos.f64 im))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) re)
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/2 binary64) re)
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))
(*.f64 #s(literal 1/6 binary64) re)
(.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/6 binary64) re)
(.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 re (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
(+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 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))))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (cos.f64 im)))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64))))))
(.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) (+.f64 (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64))) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 3 binary64)))))))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (cos.f64 im)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 im) re)) (.f64 #s(literal -1/6 binary64) (cos.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) (cos.f64 im)) (/.f64 (cos.f64 im) re)) re)) (*.f64 #s(literal -1/6 binary64) (cos.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) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re))) re)) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) re)) (.f64 #s(literal -1/6 binary64) (cos.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 binary64) (+.f64 (.f64 #s(literal -1/2 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 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 -1/2 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 1/24 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 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 -1/2 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 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 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 1/24 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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 binary64) (cos.f64 im))
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(.f64 (sqrt.f64 (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 re) (cos.f64 im)) (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal -1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 re) (cos.f64 im)) (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 re) (cos.f64 im))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 re) (cos.f64 im))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 re) (cos.f64 im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 re) (cos.f64 im)) (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))))
(pow.f64 (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(exp.f64 (.f64 (log1p.f64 (.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64)))
(fma.f64 (exp.f64 re) (cos.f64 im) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(fma.f64 (cos.f64 im) (exp.f64 re) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))

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

eval238.0ms (3.5%)

Memory: 2.5MiB live, 229.5MiB allocated
Compiler: Compiled 16 556 to 3 044 computations (81.6% saved)

prune209.0ms (3.1%)

Memory

-23.9MiB live, 319.9MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	983	8	991
Fresh	1	2	3
Picked	0	5	5
Done	0	1	1
Total	984	16	1 000

Accuracy

100.0%

Counts

1 000 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.5%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))) #s(literal 1 binary64))
✓	99.8%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
	55.7%	(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
▶	31.6%	(+.f64 re #s(literal 1 binary64))
	44.5%	(+.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))))))
	29.9%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
	31.7%	(.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
✓	55.7%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	70.4%	(.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))))))) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	70.6%	(.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))))))) (cos.f64 im))
▶	68.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	99.8%	(*.f64 (exp.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	4.0%	(*.f64 (cos.f64 im) re)
▶	72.4%	(exp.f64 re)
✓	54.5%	(cos.f64 im)

Compiler

Compiled 277 to 199 computations (28.2% saved)

simplify92.0ms (1.4%)

Memory

12.2MiB live, 51.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
✓	cost-diff	-6272	(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64))))
	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(*.f64 re #s(literal 1/2 binary64))
	cost-diff	-128	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	cost-diff	0	(cos.f64 im)
	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))) #s(literal 1 binary64))
	cost-diff	0	(cos.f64 im)
✓	cost-diff	0	(*.f64 (cos.f64 im) re)
	cost-diff	0	(+.f64 re #s(literal 1 binary64))
	cost-diff	0	(exp.f64 re)

Rules

886×	`fmm-def`
724×	`fma-define`
607×	`unsub-neg`
540×	`sub-neg`
384×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	330
1	47	290
2	90	278
3	194	278
4	445	278
5	1241	278
6	3582	278
7	6181	278
8	7447	278

Stop Event

1×	node limit

Calls

Call 1

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

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

localize66.0ms (1%)

Memory

27.0MiB live, 140.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 re (+.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 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
	accuracy	100.0%	(cos.f64 im)
	accuracy	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	accuracy	99.7%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))) #s(literal 1 binary64))
✓	accuracy	99.5%	(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)))
	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.8%	(*.f64 (cos.f64 im) re)
	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
	accuracy	100.0%	(exp.f64 re)

Samples

38.0ms

256×

valid

Compiler

Compiled 92 to 18 computations (80.4% saved)

Precisions

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

ival-mult: 7.0ms (32.6% of total)

ival-add: 5.0ms (23.3% of total)

ival-cos: 5.0ms (23.3% of total)

ival-exp: 2.0ms (9.3% of total)

ival-sub: 1.0ms (4.7% of total)

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

...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-4.4MiB live, 30.6MiB allocated

Counts

8 → 144

Calls

Call 1

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

Outputs
#<alt re>
#<alt (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))))>
#<alt (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/24 binary64) re))))))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (cos.f64 im)>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (+.f64 #s(literal 1 binary64) re)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))))))))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt re>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 im))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (cos.f64 im) re))))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (cos.f64 im) re))))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (cos.f64 im) re))))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) re)))))>
#<alt (+.f64 #s(literal 2 binary64) re)>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (cos.f64 im)>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))>
#<alt (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (/.f64 (cos.f64 im) re)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (+.f64 (/.f64 (cos.f64 im) re) (/.f64 (cos.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) (cos.f64 im)) (+.f64 (/.f64 (cos.f64 im) re) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (/.f64 (cos.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) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re))) re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re))) re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))>
#<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 (.f64 #s(literal -1/2 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 #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 -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))) (.f64 #s(literal 1/24 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 #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 -1/2 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 -1/720 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 1/24 binary64) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))))))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) re)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #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 (/.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 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<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 (/.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 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))>

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	re	@	inf	(* (cos im) re)
1.0ms	im	@	inf	(* (+ 1 (* re (+ 1 (* re 1/2)))) (cos im))
1.0ms	im	@	0	(* (+ 1 (* re (+ 1 (* re 1/2)))) (cos im))
0.0ms	re	@	0	(* (cos im) re)
0.0ms	re	@	-inf	(* re (+ 1 (* re 1/2)))

rewrite172.0ms (2.6%)

Memory

7.0MiB live, 126.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 030×	`log1p-expm1-u`
924×	`expm1-log1p-u`
148×	`add-cube-cbrt`
147×	`add-exp-log`
147×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	207
1	326	167
2	4774	167

Stop Event

1×	node limit

Counts

8 → 238

Calls

Call 1

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

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

simplify478.0ms (7.1%)

Memory

3.5MiB live, 272.3MiB allocated

Algorithm

1×	egg-herbie

Rules

466×	`fmm-def`
416×	`distribute-lft-neg-in`
395×	`distribute-rgt-neg-in`
340×	`associate-r`
314×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	598	13314
1	1477	12233
2	5239	12084

Stop Event

1×	node limit

Counts

382 → 374

Calls

Call 1

Inputs
re
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/24 binary64) re))))))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 re (cos.f64 im))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (cos.f64 im))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))))
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(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(pow.f64 (fma.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(exp.f64 (.f64 (log1p.f64 (.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) (sqrt.f64 (.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 (cos.f64 im) (.f64 (cos.f64 im) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (cos.f64 im) (.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 im)))
(+.f64 (.f64 (cos.f64 im) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (cos.f64 im))
(+.f64 (.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 im)) (cos.f64 im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.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 (cos.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 (+.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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (cos.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))) (cos.f64 im)) (-.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))) (.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))) (cos.f64 im)) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(pow.f64 (*.f64 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.f64 im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.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 (cos.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 (cos.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 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #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 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.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))) (/.f64 #s(literal 1 binary64) (-.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))) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(.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))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #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))) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (+.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 (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.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 (+.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 (+.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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.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))) (+.f64 (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 #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 (neg.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)))) (neg.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))) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (neg.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)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(pow.f64 (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 (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 (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 (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 (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 (exp.f64 (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 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(cbrt.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)))
(expm1.f64 (log1p.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log1p.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))

Outputs
re
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re (.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) re)
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 #s(literal 1/24 binary64) re))))))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 re (pow.f64 im #s(literal 2 binary64))) (.f64 re #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) re)
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 re (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 re #s(literal -1/2 binary64))) re)
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 re (cos.f64 im))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (cos.f64 im))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 im)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
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(/.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))) (+.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 #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 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #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 (-.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 #s(literal -1 binary64) (pow.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.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)))) (neg.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))) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(.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))) (/.f64 #s(literal 1 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 #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 #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 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #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 (neg.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)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.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))) (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.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))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.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))) (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.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))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.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)) #s(literal 1/3 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(log.f64 (exp.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(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 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(cbrt.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)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp.f64 (.f64 (log1p.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))

eval162.0ms (2.4%)

Memory: 0.5MiB live, 191.0MiB allocated
Compiler: Compiled 10 963 to 2 039 computations (81.4% saved)

prune224.0ms (3.3%)

Memory

-19.0MiB live, 280.1MiB allocated

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	702	7	709
Fresh	2	3	5
Picked	1	4	5
Done	0	6	6
Total	705	20	725

Accuracy

100.0%

Counts

725 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.6%	(-.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
✓	99.8%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
	55.7%	(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
	5.9%	(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓	31.6%	(+.f64 re #s(literal 1 binary64))
	44.5%	(+.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)))))))
▶	42.6%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
▶	29.9%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	55.7%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	70.4%	(.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))))))) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	70.6%	(.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))))))) (cos.f64 im))
✓	68.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	99.8%	(*.f64 (exp.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	4.0%	(*.f64 (cos.f64 im) re)
	31.6%	(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
✓	72.4%	(exp.f64 re)
✓	54.5%	(cos.f64 im)
	3.8%	re
▶	30.9%	#s(literal 1 binary64)

Compiler

Compiled 286 to 208 computations (27.3% saved)

simplify88.0ms (1.3%)

Memory

5.0MiB live, 44.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
	cost-diff	-12544	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 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	(*.f64 re #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 re #s(literal 2 binary64))
✓	cost-diff	128	(-.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
	cost-diff	-128	(cos.f64 im)
	cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 im))
	cost-diff	0	(*.f64 re #s(literal 1/6 binary64))
	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))

Rules

585×	`distribute-rgt-neg-in`
543×	`unsub-neg`
470×	`distribute-neg-in`
455×	`distribute-lft-neg-in`
292×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	474
1	76	388
2	180	370
3	515	370
4	2037	370
5	5157	370
6	6621	370

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 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #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)))))))
#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 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 im))
(cos.f64 im)
im
#s(literal 1 binary64)
(-.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
#s(literal 1 binary64)
(+.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)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 im #s(literal 2 binary64))
im
#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 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))))) (+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal -1 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 (cos.f64 im) #s(literal 0 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)) (cos.f64 im))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
re
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 re #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal -1 binary64))
(+.f64 (cos.f64 im) #s(literal 0 binary64))
(cos.f64 im)
(+.f64 #s(literal 1 binary64) (cos.f64 im))
(cos.f64 im)
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal -1 binary64))
(+.f64 (cos.f64 im) #s(literal 0 binary64))
im
#s(literal 1 binary64)
(-.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 2 binary64))
re
#s(literal 2 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)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)

localize210.0ms (3.1%)

Memory

13.4MiB live, 206.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 im #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
	accuracy	100.0%	(*.f64 re #s(literal 1/2 binary64))
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 re (+.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 2 binary64))
✓	accuracy	100.0%	(-.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
	accuracy	99.9%	(.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/6 binary64))))
	accuracy	99.6%	(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64))
	accuracy	99.5%	(*.f64 re #s(literal 1/6 binary64))
	accuracy	99.4%	(+.f64 #s(literal 1 binary64) (cos.f64 im))

Samples

176.0ms

256×

valid

Compiler

Compiled 145 to 28 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-sub: 121.0ms (76.3% of total)

ival-add: 11.0ms (6.9% of total)

ival-mult: 11.0ms (6.9% of total)

...in/eval/compile.rkt:105:19: 6.0ms (3.8% of total)

ival-cos: 5.0ms (3.2% of total)

ival-pow2: 2.0ms (1.3% of total)

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

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

...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

5 → 33

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite117.0ms (1.7%)

Memory

-14.6MiB live, 63.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

879×	`log1p-expm1-u`
879×	`expm1-log1p-u`
407×	`prod-diff`
389×	`log-prod`
374×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	192	64
2	2495	64

Stop Event

1×	node limit

Counts

5 → 175

Calls

Call 1

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

Outputs
(+.f64 re #s(literal 1 binary64))
(+.f64 re (log.f64 (exp.f64 #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (+.f64 re #s(literal -1 binary64)))
(+.f64 (+.f64 re #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 (+.f64 re #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 0 binary64) (+.f64 re #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 re #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 re #s(literal 1 binary64)))) (cbrt.f64 (exp.f64 (+.f64 re #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 re #s(literal 1 binary64))) (sqrt.f64 (+.f64 re #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 re #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 3 binary64))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 re #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 re #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 re #s(literal 3 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 re #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 re #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (+.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 re #s(literal 1 binary64))))
(exp.f64 (log1p.f64 re))
(fma.f64 re #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 re #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) (sqrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) (*.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) #s(literal 1 binary64))
(fma.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 4 binary64)) (*.f64 re #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 re re #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -2 binary64))) #s(literal -1 binary64))
(-.f64 (+.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 re #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 re #s(literal -2 binary64))))
(*.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) (sqrt.f64 (+.f64 re #s(literal 2 binary64))))
(.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) (.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 4 binary64)) (.f64 re #s(literal 2 binary64)))))
(*.f64 (fma.f64 re re #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 4 binary64)) (*.f64 re #s(literal 2 binary64))) (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -2 binary64)) (fma.f64 re re #s(literal -4 binary64))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 (fma.f64 re re #s(literal 4 binary64)) (*.f64 re #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))))
(/.f64 (fma.f64 re re #s(literal -4 binary64)) (+.f64 re #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 re re #s(literal 4 binary64)) (*.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 re re #s(literal -4 binary64))) (neg.f64 (+.f64 re #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) re))
(/.f64 (.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 re re #s(literal 4 binary64)) (.f64 re #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 re re #s(literal -4 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal -2 binary64)))
(pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (+.f64 re #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (+.f64 re #s(literal 2 binary64))))
(exp.f64 (log.f64 (+.f64 re #s(literal 2 binary64))))
(fma.f64 re #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) re #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 re #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #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))
(fma.f64 (+.f64 re #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 re #s(literal 3 binary64))) (cbrt.f64 (+.f64 re #s(literal 3 binary64)))) (cbrt.f64 (+.f64 re #s(literal 3 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 re #s(literal 3 binary64))) (sqrt.f64 (+.f64 re #s(literal 3 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 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 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) im))
(.f64 (.f64 im (sqrt.f64 im)) (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 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 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)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 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 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 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 -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 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 -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 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 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 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 -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 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 -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (.f64 im (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64))

simplify136.0ms (2%)

Memory

7.9MiB live, 164.6MiB allocated

Algorithm

1×	egg-herbie

Rules

871×	`fmm-def`
575×	`fma-define`
383×	`div-sub`
296×	`sub-neg`
233×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	5124
1	707	4949
2	1866	4163
3	5707	4163

Stop Event

1×	node limit

Counts

208 → 227

Calls

Call 1

Inputs
#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)
(+.f64 #s(literal 2 binary64) re)
(+.f64 #s(literal 2 binary64) re)
(+.f64 #s(literal 2 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))))
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))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 re #s(literal 1 binary64))
(+.f64 re (log.f64 (exp.f64 #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (+.f64 re #s(literal -1 binary64)))
(+.f64 (+.f64 re #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 (+.f64 re #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 0 binary64) (+.f64 re #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 re #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 re #s(literal 1 binary64)))) (cbrt.f64 (exp.f64 (+.f64 re #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 re #s(literal 1 binary64))) (sqrt.f64 (+.f64 re #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 re #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 3 binary64))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 re #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 re #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 re #s(literal 3 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 re #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 re #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (+.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 re #s(literal 1 binary64))))
(exp.f64 (log1p.f64 re))
(fma.f64 re #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 re #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) (sqrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) (*.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) #s(literal 1 binary64))
(fma.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 4 binary64)) (*.f64 re #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 re re #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -2 binary64))) #s(literal -1 binary64))
(-.f64 (+.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 re #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 re #s(literal -2 binary64))))
(*.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) (sqrt.f64 (+.f64 re #s(literal 2 binary64))))
(.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) (.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 4 binary64)) (.f64 re #s(literal 2 binary64)))))
(*.f64 (fma.f64 re re #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 4 binary64)) (*.f64 re #s(literal 2 binary64))) (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -2 binary64)) (fma.f64 re re #s(literal -4 binary64))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 (fma.f64 re re #s(literal 4 binary64)) (*.f64 re #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))))
(/.f64 (fma.f64 re re #s(literal -4 binary64)) (+.f64 re #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 re re #s(literal 4 binary64)) (*.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 re re #s(literal -4 binary64))) (neg.f64 (+.f64 re #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) re))
(/.f64 (.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 re re #s(literal 4 binary64)) (.f64 re #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 re re #s(literal -4 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal -2 binary64)))
(pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (+.f64 re #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (+.f64 re #s(literal 2 binary64))))
(exp.f64 (log.f64 (+.f64 re #s(literal 2 binary64))))
(fma.f64 re #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) re #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 re #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #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))
(fma.f64 (+.f64 re #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 re #s(literal 3 binary64))) (cbrt.f64 (+.f64 re #s(literal 3 binary64)))) (cbrt.f64 (+.f64 re #s(literal 3 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 re #s(literal 3 binary64))) (sqrt.f64 (+.f64 re #s(literal 3 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 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 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 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 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) im))
(.f64 (.f64 im (sqrt.f64 im)) (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 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 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)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 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 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 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 -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 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 -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 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 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 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 -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 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 -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (.f64 im (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64))

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

eval81.0ms (1.2%)

Memory: 0.9MiB live, 200.6MiB allocated
Compiler: Compiled 10 274 to 2 023 computations (80.3% saved)

prune93.0ms (1.4%)

Memory

19.0MiB live, 213.6MiB allocated

Pruning

21 alts after pruning (8 fresh and 13 done)

	Pruned	Kept	Total
New	575	3	578
Fresh	0	5	5
Picked	1	4	5
Done	1	9	10
Total	577	21	598

Accuracy

100.0%

Counts

598 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(-.f64 (-.f64 (+.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	31.6%	(-.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
✓	99.8%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
	31.5%	(-.f64 (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re)))) #s(literal 1 binary64))
	55.7%	(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
	5.9%	(+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓	31.6%	(+.f64 re #s(literal 1 binary64))
	44.5%	(+.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)))))))
✓	42.6%	(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
	29.9%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
✓	55.7%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	70.4%	(.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))))))) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	70.6%	(.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))))))) (cos.f64 im))
✓	68.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im))
✓	99.8%	(*.f64 (exp.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 1 binary64)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	31.6%	(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
✓	72.4%	(exp.f64 re)
✓	54.5%	(cos.f64 im)
	3.8%	re
✓	30.9%	#s(literal 1 binary64)

Compiler

Compiled 418 to 212 computations (49.3% saved)

regimes142.0ms (2.1%)

Memory

-25.9MiB live, 86.5MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	(cos.f64 im)
9.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
8.0ms	im
8.0ms	re
6.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes28.0ms (0.4%)

Memory

14.7MiB live, 53.5MiB allocated

Counts

22 → 4

Calls

Call 1

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

Outputs
(exp.f64 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))))))) (cos.f64 im))
(exp.f64 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))))))) (cos.f64 im))

Calls

4 calls:

8.0ms	re
7.0ms	im
6.0ms	(cos.f64 im)
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
98.5%	4	`re`
87.4%	2	`im`
96.5%	3	`(exp.f64 re)`
87.5%	2	`(cos.f64 im)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes12.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

20 → 3

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	re
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
96.4%	3	`(exp.f64 re)`
96.4%	3	`re`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes118.0ms (1.8%)

Memory

-21.6MiB live, 23.2MiB allocated

Counts

19 → 3

Calls

Call 1

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

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

Calls

2 calls:

111.0ms	(exp.f64 re)
6.0ms	re

Results

Accuracy	Segments	Branch
96.1%	3	`re`
96.1%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.2%)

Memory

-19.6MiB live, 20.0MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs
(exp.f64 re)
(cos.f64 im)
(exp.f64 re)

Calls

2 calls:

5.0ms	re
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
95.7%	3	`re`
95.7%	3	`(exp.f64 re)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.2%)

Memory

32.0MiB live, 32.0MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	re
4.0ms	im
4.0ms	(cos.f64 im)

Results

Accuracy	Segments	Branch
65.6%	2	`im`
65.6%	2	`(cos.f64 im)`
68.0%	2	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.1%)

Memory

-16.9MiB live, 21.8MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	re
4.0ms	im

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
42.6%	1	`re`
42.6%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-21.9MiB live, 17.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	re
3.0ms	im

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Accuracy

Total -17.9b remaining (-40.3%)

Threshold costs -17.9b (-40.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	re
1.0ms	im

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch287.0ms (4.3%)

Memory

-14.6MiB live, 46.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	9.988188259510829e+92	4.425658875557778e+112
13.0ms	0.704986745351508	57305.79878756075
256.0ms	-177402.2813245665	-2.3860110886207304e-6

Samples

27.0ms

480×

valid

Compiler

Compiled 730 to 550 computations (24.7% saved)

Precisions

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

ival-cos: 9.0ms (53.4% of total)

ival-exp: 5.0ms (29.6% of total)

ival-mult: 3.0ms (17.8% of total)

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

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

bsearch55.0ms (0.8%)

Memory

-3.5MiB live, 36.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.704986745351508	57305.79878756075
39.0ms	-177402.2813245665	-2.3860110886207304e-6

Samples

43.0ms

304×

valid

Compiler

Compiled 390 to 295 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-cos: 30.0ms (83.1% of total)

ival-exp: 3.0ms (8.3% of total)

ival-mult: 2.0ms (5.5% of total)

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

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0238198597237167	+inf
0.0ms	0.0	0.9999976139917579

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000287028	1.0000000805070886
0.0ms	0.9999999998992395	1.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch56.0ms (0.8%)

Memory

-20.0MiB live, 19.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	2.8702879869674644e-11	8.05070852664446e-8

Samples

8.0ms

128×

valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

Precisions

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

ival-cos: 3.0ms (62.9% of total)

ival-exp: 1.0ms (21% of total)

ival-mult: 1.0ms (21% of total)

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

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

simplify11.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	517
1	108	516
2	115	516
3	120	512
4	124	512
5	128	512

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -1098878309078401/36028797018963968 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3242591731706757/4503599627370496 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))))))) (cos.f64 im)) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (exp.f64 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))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -4150517416584649/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3242591731706757/4503599627370496 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 4 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 4503599852550477/4503599627370496 binary64)) (cos.f64 im) (exp.f64 re)))
(if (<=.f64 re #s(literal 332454600394023/302231454903657293676544 binary64)) (cos.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 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 #s(literal 1/2 binary64)))))
(-.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -1098878309078401/36028797018963968 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3242591731706757/4503599627370496 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))))))) (cos.f64 im)) (if (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (exp.f64 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))))))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -1098878309078401/36028797018963968 binary64)) (exp.f64 re) (if (or (<=.f64 re #s(literal 3242591731706757/4503599627370496 binary64)) (not (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)))) (.f64 (cos.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)))))))) (exp.f64 re)))
(if (or (<=.f64 re #s(literal -1098878309078401/36028797018963968 binary64)) (not (or (<=.f64 re #s(literal 3242591731706757/4503599627370496 binary64)) (not (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)))))) (exp.f64 re) (.f64 (cos.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 -1098878309078401/36028797018963968 binary64)) (and (not (<=.f64 re #s(literal 3242591731706757/4503599627370496 binary64))) (<=.f64 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)))) (exp.f64 re) (.f64 (cos.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 -4150517416584649/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 3242591731706757/4503599627370496 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (cos.f64 im)) (exp.f64 re)))
(if (or (<=.f64 re #s(literal -4150517416584649/576460752303423488 binary64)) (not (<=.f64 re #s(literal 3242591731706757/4503599627370496 binary64)))) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 4 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 0 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 4 binary64)))) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 4503599852550477/4503599627370496 binary64)) (cos.f64 im) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 4503599852550477/4503599627370496 binary64)))) (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal 332454600394023/302231454903657293676544 binary64)) (cos.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)))))))
(if (<=.f64 re #s(literal 332454600394023/302231454903657293676544 binary64)) (cos.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 #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)))))))
(+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)))))
(-.f64 (+.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (+.f64 re #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

soundness872.0ms (13%)

Memory

9.4MiB live, 868.3MiB allocated

Rules

597×	`associate-r`
571×	`distribute-lft-in`
552×	`fma-define`
548×	`associate-l`
500×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	886	19664
1	2163	18679
0	598	13314
1	1477	12233
2	5239	12084
0	11	37
1	101	37
2	1105	37
0	310	3260
1	582	3109
2	1858	3068
3	5317	3051

Stop Event

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

Compiler

Compiled 305 to 139 computations (54.4% saved)

preprocess123.0ms (1.8%)

Memory: 14.2MiB live, 168.4MiB allocated
Remove: (abs im)
Compiler: Compiled 374 to 172 computations (54% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	163
1	45	161
2	81	155
3	117	155
4	193	155
5	270	155
6	323	155
7	363	155
8	446	155
9	446	155

Iter	Nodes	Cost
0	22	163
1	45	161
2	81	155
3	117	155
4	193	155
5	270	155
6	323	155
7	363	155
8	446	155
9	446	155

analyze0.0ms (0%)

sample1.2s (17.7%)

preprocess54.0ms (0.8%)

explain68.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.2%)

localize22.0ms (0.3%)

series4.0ms (0.1%)

rewrite201.0ms (3%)

simplify157.0ms (2.3%)

eval22.0ms (0.3%)

prune66.0ms (1%)

simplify70.0ms (1%)

localize106.0ms (1.6%)

series18.0ms (0.3%)

rewrite246.0ms (3.7%)

simplify316.0ms (4.7%)

eval238.0ms (3.5%)

prune209.0ms (3.1%)

simplify92.0ms (1.4%)

localize66.0ms (1%)

series15.0ms (0.2%)

rewrite172.0ms (2.6%)

simplify478.0ms (7.1%)

eval162.0ms (2.4%)

prune224.0ms (3.3%)

simplify88.0ms (1.3%)

localize210.0ms (3.1%)

series5.0ms (0.1%)

rewrite117.0ms (1.7%)

simplify136.0ms (2%)

eval81.0ms (1.2%)

prune93.0ms (1.4%)

regimes142.0ms (2.1%)

regimes28.0ms (0.4%)

regimes12.0ms (0.2%)

regimes118.0ms (1.8%)

regimes13.0ms (0.2%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch287.0ms (4.3%)

bsearch55.0ms (0.8%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch56.0ms (0.8%)

simplify11.0ms (0.2%)

soundness872.0ms (13%)

preprocess123.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	163
1	45	161
2	81	155
3	117	155
4	193	155
5	270	155
6	323	155
7	363	155
8	446	155
9	446	155