Metrics for math.sin on complex, imaginary part

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

sample2.4s (27.2%)

Results

1.5s	4016×	1	valid
508.0ms	4240×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-exp: 874.0ms (53.9% of total)

ival-cos: 250.0ms (15.4% of total)

ival-sub: 233.0ms (14.4% of total)

ival-mult: 155.0ms (9.6% of total)

backward-pass: 91.0ms (5.6% of total)

const: 18.0ms (1.1% of total)

Bogosity

preprocess231.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1396×	`fma-define`
541×	`fma-neg`
230×	`times-frac`
216×	`distribute-lft-in`
196×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	324
1	86	308
2	244	308
3	768	304
4	1960	294
5	3017	294
6	3397	294
7	3805	294
8	4502	294
9	5011	294
10	5176	294
11	5270	294
12	5270	294
13	5270	294

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs re)

(negabs im)

explain252.0ms (2.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
117	-	-	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
0	-	-	`(exp.f64 im)`
0	-	-	`#s(literal 0 binary64)`
0	-	-	`(cos.f64 re)`
0	-	-	`im`
0	-	-	`(-.f64 #s(literal 0 binary64) im)`
0	-	-	`re`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(exp.f64 (-.f64 #s(literal 0 binary64) im))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`	cancellation	117	0

Confusion

	Predicted +	Predicted -
+	117	0
-	0	139

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	117	0	0
-	0	0	139

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	139
1	117

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

121.0ms	230×	1	valid
38.0ms	282×	0	valid

Compiler

Compiled 110 to 46 computations (58.2% saved)

Precisions

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

ival-exp: 38.0ms (49.4% of total)

ival-cos: 12.0ms (15.6% of total)

ival-mult: 10.0ms (13% of total)

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

backward-pass: 7.0ms (9.1% of total)

const: 1.0ms (1.3% of total)

eval1.0ms (0%)

Compiler: Compiled 35 to 16 computations (54.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.6%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify146.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

699×	`fma-define`
303×	`fma-neg`
114×	`distribute-lft-in`
98×	`associate-r`
83×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	152
1	28	152
2	59	152
3	143	150
4	271	150
5	450	150
6	688	150
7	1082	150
8	1631	150
9	2158	150
10	2299	150
11	2402	150
12	2416	150
13	2416	150

Stop Event

1×

saturated

Calls

Call 1

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

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

localize72.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 im)
✓	accuracy	100.0%	(cos.f64 re)
✓	accuracy	99.9%	(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
✓	accuracy	57.6%	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

38.0ms	115×	1	valid
21.0ms	141×	0	valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-exp: 17.0ms (42.3% of total)

ival-mult: 7.0ms (17.4% of total)

ival-cos: 6.0ms (14.9% of total)

ival-neg: 4.0ms (10% of total)

ival-sub: 3.0ms (7.5% of total)

backward-pass: 3.0ms (7.5% of total)

const: 0.0ms (0% of total)

series154.0ms (1.7%)

Counts

6 → 60

Calls

Call 1

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

Outputs
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) (.f64 #s(literal -1/3 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 re)) (.f64 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/60 binary64) (cos.f64 re)) (.f64 #s(literal -1/2520 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (exp.f64 im))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 #s(literal 1/24 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (exp.f64 im))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) im)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>

Calls

21 calls:

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

rewrite146.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

77×	`add-exp-log`
77×	`add-log-exp`
77×	`log1p-expm1-u`
77×	`expm1-log1p-u`
75×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	146
1	174	146
2	2641	146

Stop Event

1×

unsound

Counts

6 → 55

Calls

Call 1

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

Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal -3 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -3 binary64)))
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

884×	`unsub-neg`
610×	`distribute-lft-in`
584×	`distribute-rgt-in`
551×	`fma-define`
490×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	2251
1	396	2078
2	1102	2015
3	3608	1955
4	7122	1955

Stop Event

1×	node limit

Counts

115 → 111

Calls

Call 1

Inputs
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 im (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) (.f64 #s(literal -1/3 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(.f64 im (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 re)) (.f64 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(.f64 im (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/60 binary64) (cos.f64 re)) (.f64 #s(literal -1/2520 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 #s(literal 1/24 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (exp.f64 im))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal -2 binary64) im)
(.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal -3 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -3 binary64)))
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)

Outputs
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) im))
(.f64 im (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) (.f64 #s(literal -1/3 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (.f64 #s(literal -1/3 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(.f64 im (.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 im (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 re)) (.f64 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (.f64 (.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/60 binary64))))))
(.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))))
(fma.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) im) (.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))))
(.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 im (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/60 binary64) (cos.f64 re)) (.f64 #s(literal -1/2520 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))
(.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (cos.f64 re) (.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2520 binary64))))))))
(.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (cos.f64 re) #s(literal -1/3 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))))))
(.f64 im (fma.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(.f64 im (.f64 (cos.f64 re) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (.f64 #s(literal -1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))))) (exp.f64 im))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im)))
(-.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 #s(literal 1/24 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/24 binary64))))))) (exp.f64 im))
(-.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(+.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(-.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal -2 binary64) im)
(.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 (neg.f64 im) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 im (fma.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #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 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 im #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) re))))
(fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re)) #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal -3 binary64))
(+.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 3 binary64))
(+.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 (cos.f64 re) #s(literal 4 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -3 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) (cos.f64 #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(cos.f64 re)
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (cos.f64 re))))
(log1p.f64 (+.f64 (exp.f64 (cos.f64 re)) #s(literal -5 binary64)))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(cos.f64 re)
(log1p.f64 (expm1.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (log.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -3 binary64)))
(pow.f64 (cos.f64 re) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)

eval14.0ms (0.2%)

Compiler: Compiled 1876 to 513 computations (72.7% saved)

prune24.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	102	9	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	10	112

Accuracy

99.9%

Counts

112 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.4%	(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	57.6%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
▶	54.9%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
▶	93.6%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
	83.9%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
▶	48.6%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
	2.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
▶	2.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.4%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
▶	3.5%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))

Compiler

Compiled 203 to 158 computations (22.2% saved)

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(-.f64 #s(literal 27 binary64) (exp.f64 im))
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))
	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) im)
✓	cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) im) (cos.f64 re))
✓	cost-diff	192	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
✓	cost-diff	-6272	(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))
	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 im #s(literal 2 binary64))

Rules

563×	`distribute-lft-in`
544×	`fma-define`
539×	`distribute-rgt-in`
526×	`associate-r`
520×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	635
1	73	629
2	166	627
3	492	621
4	1443	621
5	4537	621
6	6264	621

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
#s(literal 1/2 binary64)
(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))
(-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal -2 binary64) im) (cos.f64 re))
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
im
(cos.f64 re)
re
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
#s(literal 1/2 binary64)
(*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))
(-.f64 #s(literal 27 binary64) (exp.f64 im))
#s(literal 27 binary64)
(exp.f64 im)
im
(cos.f64 re)
re

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))
(.f64 #s(literal 1/2 binary64) (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 im (cos.f64 re))))
(.f64 (cos.f64 re) (-.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/2 binary64))) im))
(.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))) (neg.f64 im)))
#s(literal 1/2 binary64)
(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(.f64 im (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))
(.f64 (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) (.f64 im (cos.f64 re)))
(.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))) #s(literal -2 binary64)) (cos.f64 re)))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))) #s(literal -2 binary64)))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))
(*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))
(fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))
#s(literal -1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))
(.f64 (cos.f64 re) (.f64 #s(literal -1 binary64) im))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 im (neg.f64 (cos.f64 re)))
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal -2 binary64) im) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 im (.f64 #s(literal -2 binary64) (cos.f64 re)))
(.f64 im (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) im)
(*.f64 im #s(literal -2 binary64))
#s(literal -2 binary64)
im
(cos.f64 re)
re
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) #s(literal 27/2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) #s(literal 27/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))
(*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(-.f64 #s(literal 27 binary64) (exp.f64 im))
#s(literal 27 binary64)
(exp.f64 im)
im
(cos.f64 re)
re

localize199.0ms (2.3%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
	accuracy	100.0%	(exp.f64 im)
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	99.9%	(*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) im)
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal -2 binary64) im) (cos.f64 re))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
✓	accuracy	99.9%	(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
✓	accuracy	99.8%	(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))
✓	accuracy	99.8%	(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))

Results

156.0ms

256×

valid

Compiler

Compiled 218 to 30 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 22.0ms (43.4% of total)

...c/correct-round.rkt:121:19: 10.0ms (19.7% of total)

ival-cos: 6.0ms (11.8% of total)

ival-sub: 5.0ms (9.9% of total)

ival-pow: 4.0ms (7.9% of total)

ival-exp: 2.0ms (3.9% of total)

const: 1.0ms (2% of total)

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

series47.0ms (0.5%)

Counts

13 → 143

Calls

Call 1

Inputs
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))>
#<alt (.f64 (.f64 #s(literal -2 binary64) im) (cos.f64 re))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))>
#<alt (-.f64 #s(literal 27 binary64) (exp.f64 im))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))>

Outputs
#<alt (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) im) (.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 im (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 #s(literal -1/12 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) im) (.f64 #s(literal 1/360 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal 26 binary64) (cos.f64 re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 26 binary64) (cos.f64 re)))>
#<alt (+.f64 (.f64 #s(literal 26 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 #s(literal -1/2 binary64) (*.f64 im (cos.f64 re))))))>
#<alt (+.f64 (.f64 #s(literal 26 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal -1/6 binary64) (*.f64 im (cos.f64 re))))))))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (-.f64 #s(literal 27 binary64) (exp.f64 im))>
#<alt (-.f64 (+.f64 #s(literal 27 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) (exp.f64 im))>
#<alt (-.f64 (+.f64 #s(literal 27 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))) (exp.f64 im))>
#<alt (-.f64 (+.f64 #s(literal 27 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) (.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))))) (exp.f64 im))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt #s(literal 26 binary64)>
#<alt (+.f64 #s(literal 26 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) (.f64 #s(literal -1/3 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 re)) (.f64 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/60 binary64) (cos.f64 re)) (.f64 #s(literal -1/2520 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))>
#<alt (.f64 #s(literal -1/2520 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal -1/60 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/2520 binary64) (cos.f64 re))))>
#<alt (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/60 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/2520 binary64) (cos.f64 re)))))>
#<alt (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/60 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/2520 binary64) (cos.f64 re))))))>
#<alt (.f64 #s(literal -1/2520 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal 1/2520 binary64) (cos.f64 re)) (.f64 #s(literal 1/60 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal 1/2520 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/60 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 (.f64 #s(literal 1/2520 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/60 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 6 binary64)))))))))>
#<alt (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))))))>
#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 13 binary64) (cos.f64 re))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 13 binary64) (cos.f64 re)))>
#<alt (+.f64 (.f64 #s(literal 13 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal -1/4 binary64) (*.f64 im (cos.f64 re))))))>
#<alt (+.f64 (.f64 #s(literal 13 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (cos.f64 re)) (.f64 #s(literal -1/12 binary64) (*.f64 im (cos.f64 re))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>

Calls

48 calls:

Time	Variable		Point	Expression
9.0ms	im	@	0	(* 1/2 (* (- 27 (exp im)) (cos re)))
4.0ms	re	@	inf	(* (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) (cos re))
3.0ms	im	@	inf	(* 1/2 (* (- 27 (exp im)) (cos re)))
2.0ms	re	@	-inf	(* 1/2 (* (* -2 im) (cos re)))
1.0ms	re	@	0	(* (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) (cos re))

rewrite215.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`log1p-expm1-u`
235×	`associate-r`
204×	`prod-diff`
202×	`expm1-log1p-u`
199×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	321
1	465	315
2	6018	315

Stop Event

1×	node limit

Counts

13 → 191

Calls

Call 1

Inputs
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(.f64 (.f64 #s(literal -2 binary64) im) (cos.f64 re))
(*.f64 #s(literal -2 binary64) im)
(*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))
(-.f64 #s(literal 27 binary64) (exp.f64 im))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.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 (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))
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(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 2 binary64))) #s(literal -1/9 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 2 binary64))) #s(literal -1/9 binary64)) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re))))) #s(literal 1 binary64))
(pow.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (*.f64 (cos.f64 re) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re))))))
(cbrt.f64 (pow.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))))
(log1p.f64 (expm1.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))))
(exp.f64 (log.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))))
(exp.f64 (.f64 (log.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 im (cos.f64 re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

simplify185.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

547×	`associate-r`
495×	`associate-l`
416×	`fma-define`
264×	`*-commutative`
224×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	660	12677
1	1612	12334
2	5719	12060

Stop Event

1×	node limit

Counts

334 → 380

Calls

Call 1

Inputs
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) im)
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) im) (.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(*.f64 #s(literal -2 binary64) im)
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 im (pow.f64 re #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 #s(literal -1/12 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) im) (.f64 #s(literal 1/360 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(*.f64 #s(literal 26 binary64) (cos.f64 re))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 26 binary64) (cos.f64 re)))
(+.f64 (.f64 #s(literal 26 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 #s(literal -1/2 binary64) (*.f64 im (cos.f64 re))))))
(+.f64 (.f64 #s(literal 26 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal -1/6 binary64) (*.f64 im (cos.f64 re))))))))
(*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
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(cbrt.f64 (pow.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re))))) #s(literal 1 binary64))
(pow.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (*.f64 (cos.f64 re) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re))))))
(cbrt.f64 (pow.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))))
(log1p.f64 (expm1.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))))
(exp.f64 (log.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))))
(exp.f64 (.f64 (log.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 im (cos.f64 re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) im (.f64 (.f64 im #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal 1/2 binary64))) im)
(.f64 im (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) im))))
(fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 im #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal 1/2 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/24 binary64)))) (neg.f64 im))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 im))
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) im) (.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
(fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (.f64 (.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1/720 binary64)))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (.f64 im #s(literal 1/720 binary64)) (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal -1/24 binary64))) (*.f64 im #s(literal 1/2 binary64))) (neg.f64 im))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal 1/2 binary64) (.f64 (.f64 im (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64)))))) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 im (.f64 (cos.f64 re) #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 im (.f64 (cos.f64 re) #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 im (.f64 (cos.f64 re) #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 im (.f64 (cos.f64 re) #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 im (.f64 (cos.f64 re) #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 im (.f64 (cos.f64 re) #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 im (.f64 (cos.f64 re) #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 im (.f64 (cos.f64 re) #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 im (.f64 (cos.f64 re) #s(literal -2 binary64)))
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(.f64 (.f64 im (cos.f64 re)) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(.f64 im (.f64 (cos.f64 re) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 im (cos.f64 re)) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(.f64 im (.f64 (cos.f64 re) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 im (cos.f64 re)) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))))
(expm1.f64 (log1p.f64 (.f64 im (.f64 (cos.f64 re) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 im (cos.f64 re)) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))))
(.f64 im (.f64 (cos.f64 re) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 im (cos.f64 re)) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(exp.f64 (log.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))))
(.f64 im (.f64 (cos.f64 re) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 im (cos.f64 re)) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 im (cos.f64 re)))) #s(literal 1 binary64)))
(.f64 im (.f64 (cos.f64 re) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 im (cos.f64 re)) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(pow.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(pow.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(pow.f64 (pow.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(pow.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(sqrt.f64 (pow.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(cbrt.f64 (pow.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(expm1.f64 (log1p.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(log1p.f64 (expm1.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(exp.f64 (log.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))

eval88.0ms (1%)

Compiler: Compiled 11460 to 2471 computations (78.4% saved)

prune87.0ms (1%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	514	16	530
Fresh	1	3	4
Picked	4	1	5
Done	0	1	1
Total	519	21	540

Accuracy

99.9%

Counts

540 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.8%	(pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))) #s(literal 2 binary64))
▶	47.7%	(pow.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))) #s(literal 3 binary64))
	35.4%	(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal 1/2 binary64))) im)
	48.6%	(*.f64 (neg.f64 im) (cos.f64 re))
	10.8%	(.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (.f64 (*.f64 im #s(literal -2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
	45.4%	(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	43.5%	(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
	47.6%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)) (cos.f64 re)))
✓	57.6%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
✓	54.9%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
	39.1%	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
▶	30.2%	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
▶	93.6%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
	83.9%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (cos.f64 re)))
	48.5%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (log1p.f64 (expm1.f64 (cos.f64 re)))))
	48.5%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
▶	2.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
	3.4%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
	29.2%	(neg.f64 im)
	2.0%	#s(literal 1/4 binary64)
▶	3.5%	#s(literal -1 binary64)

Compiler

Compiled 440 to 351 computations (20.2% saved)

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 im (cos.f64 re))
✓	cost-diff	64	(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
✓	cost-diff	64	(cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
✓	cost-diff	12928	(pow.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))) #s(literal 3 binary64))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))
✓	cost-diff	-6272	(.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))
	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) im)
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
✓	cost-diff	-6336	(*.f64 im im)
✓	cost-diff	-6336	(.f64 #s(literal -1/2520 binary64) (.f64 im im))
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(pow.f64 im #s(literal 2 binary64))

Rules

710×	`fma-define`
706×	`fma-neg`
650×	`distribute-lft-in`
616×	`distribute-rgt-in`
606×	`associate-r`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	43	742
1	93	730
2	191	730
3	543	728
4	1721	726
5	5298	726
6	7661	722

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
#s(literal 1/2 binary64)
(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))
(-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(cos.f64 re)
re
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
#s(literal 1/2 binary64)
#s(literal 8 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
#s(literal 1/2 binary64)
(.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re))
(+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))
#s(literal 26 binary64)
(.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))
im
(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) im)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(cos.f64 re)
re
(pow.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))) #s(literal 3 binary64))
(cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
#s(literal -1 binary64)
(*.f64 im (cos.f64 re))
im
(cos.f64 re)
re
#s(literal 3 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))
(.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))) (neg.f64 im)))
(.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))) (neg.f64 im)))
#s(literal 1/2 binary64)
(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(.f64 im (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))
(.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))) #s(literal -2 binary64)) (cos.f64 re)))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))) #s(literal -2 binary64)))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))
(*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))
(fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
(pow.f64 im #s(literal 2 binary64))
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(cos.f64 re)
re
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
#s(literal 4 binary64)
#s(literal 1/2 binary64)
#s(literal 8 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 26 binary64) (*.f64 im (fma.f64 #s(literal -1/2 binary64) im #s(literal -1 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))))
(.f64 (cos.f64 re) (fma.f64 im (+.f64 #s(literal -1/2 binary64) (.f64 im #s(literal -1/4 binary64))) #s(literal 13 binary64)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 13 binary64)))
#s(literal 1/2 binary64)
(.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 #s(literal 26 binary64) (.f64 im (fma.f64 #s(literal -1/2 binary64) im #s(literal -1 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))
(+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 26 binary64) (*.f64 im (fma.f64 #s(literal -1/2 binary64) im #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))
#s(literal 26 binary64)
(.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))
(*.f64 im (fma.f64 #s(literal -1/2 binary64) im #s(literal -1 binary64)))
(*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))
im
(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) im #s(literal -1 binary64))
(fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(cos.f64 re)
re
(pow.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))) #s(literal 3 binary64))
(neg.f64 (*.f64 im (cos.f64 re)))
(*.f64 im (neg.f64 (cos.f64 re)))
(cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
(cbrt.f64 (neg.f64 (*.f64 im (cos.f64 re))))
(cbrt.f64 (*.f64 im (neg.f64 (cos.f64 re))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(neg.f64 (*.f64 im (cos.f64 re)))
(*.f64 im (neg.f64 (cos.f64 re)))
#s(literal -1 binary64)
(*.f64 im (cos.f64 re))
im
(cos.f64 re)
re
#s(literal 3 binary64)

localize324.0ms (3.7%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	99.7%	(*.f64 im (cos.f64 re))
✓	accuracy	99.2%	(cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
✓	accuracy	98.9%	(pow.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) im)
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
✓	accuracy	99.9%	(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
✓	accuracy	99.8%	(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))
✓	accuracy	99.8%	(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(.f64 #s(literal -1/2520 binary64) (.f64 im im))

Results

232.0ms

256×

valid

Compiler

Compiled 257 to 37 computations (85.6% saved)

Precisions

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

ival-add: 103.0ms (54.3% of total)

ival-mult: 32.0ms (16.9% of total)

ival-cos: 18.0ms (9.5% of total)

ival-pow: 17.0ms (9% of total)

...c/correct-round.rkt:121:19: 11.0ms (5.8% of total)

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

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

const: 1.0ms (0.5% of total)

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

series46.0ms (0.5%)

Counts

14 → 170

Calls

Call 1

Inputs
#<alt (.f64 #s(literal -1/2520 binary64) (.f64 im im))>
#<alt (*.f64 im im)>
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))>
#<alt (pow.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))>
#<alt (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))>
#<alt (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re))>

Outputs
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
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#<alt (*.f64 #s(literal -1 binary64) im)>
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#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 im (.f64 (cos.f64 re) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 26 binary64) (cos.f64 re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 26 binary64) (cos.f64 re)))>
#<alt (+.f64 (.f64 #s(literal 26 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 #s(literal -1/2 binary64) (*.f64 im (cos.f64 re))))))>
#<alt (+.f64 (.f64 #s(literal 26 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 #s(literal -1/2 binary64) (*.f64 im (cos.f64 re))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 26 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (.f64 #s(literal 26 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 re) (.f64 #s(literal -26 binary64) (/.f64 (cos.f64 re) im))) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 re) (.f64 #s(literal -26 binary64) (/.f64 (cos.f64 re) im))) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re))))>
#<alt (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 26 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))>
#<alt (+.f64 #s(literal 26 binary64) (+.f64 (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))))))))>
#<alt (+.f64 #s(literal 26 binary64) (+.f64 (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))))))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))>
#<alt (.f64 (cos.f64 re) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))>

Calls

57 calls:

Time	Variable		Point	Expression
8.0ms	re	@	0	(cbrt (* -1 (* im (cos re))))
5.0ms	im	@	0	(pow (cbrt (* -1 (* im (cos re)))) 3)
2.0ms	re	@	inf	(pow (cbrt (* -1 (* im (cos re)))) 3)
2.0ms	re	@	inf	(cbrt (* -1 (* im (cos re))))
2.0ms	im	@	inf	(cbrt (* -1 (* im (cos re))))

rewrite215.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`prod-diff`
401×	`log1p-expm1-u`
236×	`associate-r`
220×	`expm1-log1p-u`
214×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	355
1	537	335
2	6737	335

Stop Event

1×	node limit

Counts

14 → 291

Calls

Call 1

Inputs
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(*.f64 im im)
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))) #s(literal 3 binary64))
(cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 im (cos.f64 re))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))
(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/2520 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(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 (log.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(literal 4 binary64)
(-.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal -1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (neg.f64 im))
(+.f64 (.f64 (.f64 im #s(literal -1/2 binary64)) im) (neg.f64 im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 im #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 im #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) im) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 im #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal 1 binary64)))
(pow.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 im #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (+.f64 (sqrt.f64 (.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 im #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 im #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 im #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 im #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal 1 binary64))))
(pow.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16003008000 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/216000 binary64))) (+.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/60 binary64)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/16003008000 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/216000 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/151200 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/60 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 im (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))) (*.f64 (cos.f64 re) #s(literal 26 binary64)))
(+.f64 (.f64 (cos.f64 re) #s(literal 26 binary64)) (.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) (cos.f64 re)) (*.f64 #s(literal 26 binary64) (cos.f64 re)))
(+.f64 (.f64 #s(literal 26 binary64) (cos.f64 re)) (.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 17576 binary64))) (+.f64 #s(literal 676 binary64) (.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 26 binary64)))))
(/.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 676 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 26 binary64) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 17576 binary64)) (cos.f64 re)) (+.f64 #s(literal 676 binary64) (.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 26 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 676 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))) (cos.f64 re)) (-.f64 #s(literal 26 binary64) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))) #s(literal 1 binary64)))

simplify495.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

737×	`associate-r`
519×	`fma-define`
373×	`times-frac`
372×	`*-commutative`
316×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	798	17354
1	1975	15661
2	5987	15629

Stop Event

1×	node limit

Counts

461 → 451

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(literal -1 binary64)
(*.f64 #s(literal -1/2 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1/2 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 im (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (.f64 im (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 im (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 re) (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))) (*.f64 (cos.f64 re) #s(literal 26 binary64)))
(+.f64 (.f64 (cos.f64 re) #s(literal 26 binary64)) (.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) (cos.f64 re)) (*.f64 #s(literal 26 binary64) (cos.f64 re)))
(+.f64 (.f64 #s(literal 26 binary64) (cos.f64 re)) (.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 17576 binary64))) (+.f64 #s(literal 676 binary64) (.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 26 binary64)))))
(/.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 676 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 26 binary64) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 17576 binary64)) (cos.f64 re)) (+.f64 #s(literal 676 binary64) (.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 26 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 676 binary64) (pow.f64 (.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))) (cos.f64 re)) (-.f64 #s(literal 26 binary64) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(neg.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
(neg.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(neg.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
(neg.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(neg.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
(neg.f64 (*.f64 im (fma.f64 im #s(literal 1/2 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)) #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(neg.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
(neg.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(neg.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
(neg.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(neg.f64 (*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
(neg.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))
(fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))
(fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))
(fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))
(fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))
(fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))
(fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 im (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 im (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))
(neg.f64 im)
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 im (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 im (.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 im))
(fma.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (neg.f64 im))
(+.f64 (.f64 im (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 im (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/24 binary64) (.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
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(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal 26 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (*.f64 im #s(literal -1/2 binary64)) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(fma.f64 #s(literal 26 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (*.f64 im #s(literal -1/2 binary64)) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))))
(fma.f64 #s(literal 26 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (*.f64 im #s(literal -1/2 binary64)) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))))
(fma.f64 #s(literal 26 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (*.f64 im #s(literal -1/2 binary64)) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 26 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (*.f64 im #s(literal -1/2 binary64)) (cos.f64 re)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)))

eval97.0ms (1.1%)

Compiler: Compiled 12967 to 2854 computations (78% saved)

prune168.0ms (1.9%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	583	10	593
Fresh	1	13	14
Picked	4	1	5
Done	1	1	2
Total	589	25	614

Accuracy

100.0%

Counts

614 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.8%	(pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))) #s(literal 2 binary64))
	47.7%	(pow.f64 (neg.f64 (cbrt.f64 (*.f64 im (cos.f64 re)))) #s(literal 3 binary64))
	35.4%	(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal 1/2 binary64))) im)
	48.3%	(.f64 (.f64 (neg.f64 im) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))
	37.7%	(.f64 (.f64 (neg.f64 im) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))
	37.5%	(.f64 (sqrt.f64 (.f64 im (cos.f64 re))) (neg.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
▶	48.6%	(*.f64 (neg.f64 (cos.f64 re)) im)
	10.8%	(.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (.f64 (*.f64 im #s(literal -2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
	45.4%	(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	43.5%	(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
	23.9%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))
	47.6%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)) (cos.f64 re)))
✓	54.9%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
	39.1%	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
▶	26.1%	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
	30.2%	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (cos.f64 re)))
▶	93.6%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
	83.9%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (cos.f64 re)))
	48.5%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (log1p.f64 (expm1.f64 (cos.f64 re)))))
▶	48.5%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
	3.4%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
	29.2%	(neg.f64 im)
	2.0%	#s(literal 4 binary64)
▶	2.0%	#s(literal 1/4 binary64)
✓	3.5%	#s(literal -1 binary64)

Compiler

Compiled 562 to 428 computations (23.8% saved)

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 #s(literal -2 binary64) im)
✓	cost-diff	12800	(expm1.f64 (log1p.f64 (cos.f64 re)))
✓	cost-diff	12800	(.f64 (.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re))))
✓	cost-diff	12992	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
	cost-diff	-6272	(.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))
✓	cost-diff	0	(pow.f64 re #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
	cost-diff	0	(*.f64 #s(literal -1/2 binary64) im)
	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(neg.f64 (cos.f64 re))
✓	cost-diff	0	(*.f64 (neg.f64 (cos.f64 re)) im)
	cost-diff	-6336	(.f64 #s(literal -1/2520 binary64) (.f64 im im))
	cost-diff	-6336	(*.f64 im im)
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(pow.f64 im #s(literal 2 binary64))

Rules

897×	`fma-neg`
570×	`associate-+r+`
520×	`associate-+l+`
434×	`associate-r`
425×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	855
1	115	831
2	296	829
3	1063	819
4	3994	819
5	6909	819

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
#s(literal 1/2 binary64)
(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)))
(*.f64 im im)
(-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
#s(literal -1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(cos.f64 re)
re
#s(literal 1/4 binary64)
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(cos.f64 re)
re
im
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(literal 1/2 binary64)
(.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))
#s(literal 26 binary64)
(.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))
im
(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) im)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re))))
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
im
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (cos.f64 re))
(cos.f64 re)
re

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))
(.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))) (neg.f64 im)))
#s(literal 1/2 binary64)
(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(.f64 im (.f64 (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(.f64 im (.f64 (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) (cos.f64 re)))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))
(*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64))))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))
(*.f64 im im)
(pow.f64 im #s(literal 2 binary64))
(-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))
(fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))
#s(literal -1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(cos.f64 re)
re
#s(literal 1/4 binary64)
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 im (neg.f64 (cos.f64 re)))
(neg.f64 (cos.f64 re))
(cos.f64 re)
re
im
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (fma.f64 #s(literal -1/2 binary64) im #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
#s(literal 1/2 binary64)
(.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 26 binary64) (.f64 im (fma.f64 #s(literal -1/2 binary64) im #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 26 binary64) (*.f64 im (fma.f64 #s(literal -1/2 binary64) im #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))
#s(literal 26 binary64)
(.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))
(*.f64 im (fma.f64 #s(literal -1/2 binary64) im #s(literal -1 binary64)))
(*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)))
im
(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) im #s(literal -1 binary64))
(fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
(*.f64 im (neg.f64 (cos.f64 re)))
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re))))
(.f64 (.f64 im #s(literal -2 binary64)) (expm1.f64 (log1p.f64 (cos.f64 re))))
(.f64 im (.f64 #s(literal -2 binary64) (+.f64 (cos.f64 re) #s(literal 0 binary64))))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) im)
(*.f64 im #s(literal -2 binary64))
#s(literal -2 binary64)
im
(expm1.f64 (log1p.f64 (cos.f64 re)))
(cos.f64 re)
(log1p.f64 (cos.f64 re))
(cos.f64 re)
re

localize218.0ms (2.5%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	99.8%	(expm1.f64 (log1p.f64 (cos.f64 re)))
✓	accuracy	99.7%	(.f64 (.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re))))
✓	accuracy	99.6%	(log1p.f64 (cos.f64 re))
	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) im)
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
	accuracy	100.0%	(.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
✓	accuracy	100.0%	(neg.f64 (cos.f64 re))
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	99.7%	(*.f64 (neg.f64 (cos.f64 re)) im)
✓	accuracy	99.9%	(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
✓	accuracy	99.8%	(.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)))
✓	accuracy	99.8%	(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
	accuracy	99.5%	(.f64 #s(literal -1/2520 binary64) (.f64 im im))

Results

162.0ms

256×

valid

Compiler

Compiled 290 to 41 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 29.0ms (38.7% of total)

...c/correct-round.rkt:121:19: 13.0ms (17.3% of total)

ival-pow: 7.0ms (9.3% of total)

ival-cos: 6.0ms (8% of total)

ival-sub: 5.0ms (6.7% of total)

ival-log1p: 5.0ms (6.7% of total)

ival-add: 3.0ms (4% of total)

ival-expm1: 3.0ms (4% of total)

const: 1.0ms (1.3% of total)

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

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

series193.0ms (2.2%)

Counts

12 → 180

Calls

Call 1

Inputs
#<alt (*.f64 (neg.f64 (cos.f64 re)) im)>
#<alt (neg.f64 (cos.f64 re))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))>
#<alt (.f64 (.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re))))>
#<alt (expm1.f64 (log1p.f64 (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)))>
#<alt (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))>
#<alt (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (log1p.f64 (cos.f64 re))>

Outputs
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) im) (.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) im) (.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 im (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 #s(literal -1/12 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) im) (.f64 #s(literal 1/360 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))>
#<alt (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
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#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))) (+.f64 (.f64 #s(literal 26 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))) (+.f64 (.f64 #s(literal 26 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))) (pow.f64 re #s(literal 2 binary64))))))>
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#<alt (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))) (+.f64 (.f64 #s(literal 26 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (log.f64 #s(literal 2 binary64))>
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#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
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#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>

Calls

51 calls:

Time	Variable		Point	Expression
108.0ms	re	@	inf	(log (+ 1 (cos re)))
40.0ms	re	@	-inf	(log (+ 1 (cos re)))
7.0ms	re	@	inf	(* (+ 26 (* im (- (* -1/2 im) 1))) (+ 1 (* -1/2 (pow re 2))))
1.0ms	re	@	0	(log (+ 1 (cos re)))
1.0ms	im	@	0	(* (+ 26 (* im (- (* -1/2 im) 1))) (+ 1 (* -1/2 (pow re 2))))

rewrite160.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

320×	`associate-r`
286×	`log1p-expm1-u`
285×	`expm1-log1p-u`
276×	`add-exp-log`
276×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	338
1	664	314

Stop Event

1×	node limit

Counts

12 → 243

Calls

Call 1

Inputs
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
(.f64 (.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re))))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)))
(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(log1p.f64 (cos.f64 re))

Outputs
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 2 binary64))
(neg.f64 (*.f64 (cos.f64 re) im))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) im))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) im)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) im)))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) im)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) im)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 re))
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 re))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 re))))
(*.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)))
(*.f64 (sqrt.f64 (cos.f64 re)) (neg.f64 (sqrt.f64 (cos.f64 re))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 re)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (cos.f64 re))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (cos.f64 re))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1 binary64)))
(pow.f64 (cos.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)))
(cos.f64 re)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 re #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 re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 re re)
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(.f64 (.f64 re (sqrt.f64 re)) (sqrt.f64 re))
(.f64 (.f64 re #s(literal 1 binary64)) re)
(.f64 (.f64 re (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 2 binary64))
(neg.f64 (*.f64 (cos.f64 re) im))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) im))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) im)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) im)))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) im)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (*.f64 im #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 im #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 im #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))))
(exp.f64 (log.f64 (.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 re))
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 re))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 re))))
(*.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)))
(*.f64 (sqrt.f64 (cos.f64 re)) (neg.f64 (sqrt.f64 (cos.f64 re))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 re)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (cos.f64 re))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (cos.f64 re))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1 binary64)))
(pow.f64 (cos.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 re)) #s(literal 2 binary64))
(neg.f64 (cos.f64 re))
(sqrt.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)))
(cos.f64 re)
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1 binary64))
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(pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))))
(fma.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) #s(literal 1 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) (sqrt.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (cos.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (cos.f64 re))))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 re))) (sqrt.f64 (log1p.f64 (cos.f64 re))))
(pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 re))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64)))

simplify240.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

667×	`associate-r`
596×	`associate-l`
436×	`fma-neg`
413×	`fma-define`
346×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	682	17364
1	1841	15284
2	6975	15256

Stop Event

1×	node limit

Counts

423 → 395

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) im)
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) im) (.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) im)
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) im) (.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(*.f64 #s(literal -2 binary64) im)
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 im (pow.f64 re #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 #s(literal -1/12 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) im) (.f64 #s(literal 1/360 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))
(.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))
(.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/2520 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64)))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
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(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))))
(fma.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) #s(literal 1 binary64) (.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) (sqrt.f64 (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 26 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (cos.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (cos.f64 re))))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 re))) (sqrt.f64 (log1p.f64 (cos.f64 re))))
(pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 re))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) im (.f64 (.f64 im #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) im))))
(fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 im #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 im #s(literal -1/24 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) im) (.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
(fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (.f64 (.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1/720 binary64)))))))
(+.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 im #s(literal 1/720 binary64)) (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal -1/24 binary64))) (pow.f64 re #s(literal 4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/24 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/24 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) im (.f64 (.f64 im #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) im))))
(fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 im #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 im #s(literal -1/24 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) im) (.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
(fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (.f64 (.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1/720 binary64)))))))
(+.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 im #s(literal 1/720 binary64)) (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal -1/24 binary64))) (pow.f64 re #s(literal 4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) im)
(*.f64 im #s(literal -2 binary64))
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 im (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -2 binary64) im (*.f64 im (pow.f64 re #s(literal 2 binary64))))
(*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64)))
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 #s(literal -1/12 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(fma.f64 #s(literal -2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 (*.f64 im #s(literal -1/12 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))) (.f64 (*.f64 im #s(literal -1/12 binary64)) (pow.f64 re #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) im) (.f64 #s(literal 1/360 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
(fma.f64 #s(literal -2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) im (.f64 (.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1/360 binary64)))))))
(+.f64 (.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))) (.f64 (fma.f64 (.f64 im #s(literal 1/360 binary64)) (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal -1/12 binary64))) (pow.f64 re #s(literal 4 binary64))))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
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(log1p.f64 (cos.f64 re))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 3 binary64)))
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(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 re))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 re))))
(log1p.f64 (cos.f64 re))
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eval93.0ms (1.1%)

Compiler: Compiled 13694 to 2884 computations (78.9% saved)

prune103.0ms (1.2%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	613	7	620
Fresh	6	12	18
Picked	3	2	5
Done	0	2	2
Total	622	23	645

Accuracy

100.0%

Counts

645 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.8%	(pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))) #s(literal 2 binary64))
	47.7%	(pow.f64 (neg.f64 (cbrt.f64 (*.f64 im (cos.f64 re)))) #s(literal 3 binary64))
	48.5%	(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 1 binary64)) im)
	37.7%	(.f64 (.f64 (sqrt.f64 (cos.f64 re)) (neg.f64 (sqrt.f64 (cos.f64 re)))) im)
	48.3%	(.f64 (.f64 (neg.f64 im) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))
	37.7%	(.f64 (.f64 (neg.f64 im) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))
	37.5%	(.f64 (sqrt.f64 (.f64 im (cos.f64 re))) (neg.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
	48.5%	(*.f64 (neg.f64 (log1p.f64 (expm1.f64 (cos.f64 re)))) im)
	48.4%	(*.f64 (neg.f64 (log.f64 (exp.f64 (cos.f64 re)))) im)
	48.5%	(*.f64 (neg.f64 (expm1.f64 (log1p.f64 (cos.f64 re)))) im)
✓	48.6%	(*.f64 (neg.f64 (cos.f64 re)) im)
	10.8%	(.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (.f64 (*.f64 im #s(literal -2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
	43.5%	(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
	23.9%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))
	47.6%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)) (cos.f64 re)))
✓	54.9%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
	26.1%	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
	93.6%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
	3.4%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
	29.2%	(neg.f64 im)
	2.0%	#s(literal 4 binary64)
✓	2.0%	#s(literal 1/4 binary64)
✓	3.5%	#s(literal -1 binary64)

Compiler

Compiled 704 to 354 computations (49.7% saved)

regimes98.0ms (1.1%)

Counts

44 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal 1/2 binary64))) im)
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 1 binary64)) im)
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (neg.f64 (expm1.f64 (log1p.f64 (cos.f64 re)))) im)
(*.f64 (neg.f64 (log.f64 (exp.f64 (cos.f64 re)))) im)
(*.f64 (neg.f64 (log1p.f64 (expm1.f64 (cos.f64 re)))) im)
(pow.f64 (neg.f64 (cbrt.f64 (*.f64 im (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (log1p.f64 (expm1.f64 (cos.f64 re)))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (.f64 (*.f64 im #s(literal -2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(.f64 (.f64 (neg.f64 im) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))
(.f64 (.f64 (sqrt.f64 (cos.f64 re)) (neg.f64 (sqrt.f64 (cos.f64 re)))) im)
(.f64 (sqrt.f64 (.f64 im (cos.f64 re))) (neg.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(.f64 (.f64 (neg.f64 im) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))

Outputs

(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))

(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))

Calls

6 calls:

28.0ms	(cos.f64 re)
15.0ms	im
13.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
13.0ms	re
12.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
93.6%	1	`re`
99.9%	2	`im`
98.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
93.6%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
93.6%	1	`(cos.f64 re)`
99.9%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes9.0ms (0.1%)

Counts

22 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal 1/2 binary64))) im)
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 1 binary64)) im)
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Outputs

(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))

(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))

Calls

1 calls:

7.0ms

im

Results

Accuracy	Segments	Branch
98.3%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts

21 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal 1/2 binary64))) im)
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 1 binary64)) im)
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))

Outputs

(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))

(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))

(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))

Calls

1 calls:

13.0ms

im

Results

Accuracy	Segments	Branch
98.3%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts

20 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal 1/2 binary64))) im)
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 1 binary64)) im)
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))

Outputs

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

(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))

(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))

Calls

3 calls:

11.0ms	im
7.0ms	re
6.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
54.2%	2	`(cos.f64 re)`
53.6%	2	`re`
94.8%	3	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Counts

18 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal 1/2 binary64))) im)
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 1 binary64)) im)
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))

Outputs

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

(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))

(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))) (cos.f64 re)))

Calls

1 calls:

6.0ms

im

Results

Accuracy	Segments	Branch
94.0%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 im #s(literal 1/2 binary64))) im)
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 1 binary64)) im)

Outputs
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))

Calls

1 calls:

5.0ms

im

Results

Accuracy	Segments	Branch
87.8%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) im)

Outputs

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

(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))

(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))

Calls

1 calls:

4.0ms

im

Results

Accuracy	Segments	Branch
74.6%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))

Outputs

(neg.f64 im)

(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))

(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))

Calls

1 calls:

4.0ms

im

Results

Accuracy	Segments	Branch
55.8%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))

Outputs
(neg.f64 im)
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))

Calls

2 calls:

10.0ms	im
4.0ms	re

Results

Accuracy	Segments	Branch
34.9%	2	`re`
49.5%	2	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))

Outputs
(neg.f64 im)

Calls

2 calls:

4.0ms	re
3.0ms	im

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -1.4b remaining (-2.2%)

Threshold costs -1.4b (-2.2%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
3.5%	1	`re`
3.5%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.03742569720837208

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch44.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.8066051344841614e+41	2.430262699590795e+47
21.0ms	0.018711756661017414	1611.1007771167333

Results

30.0ms

288×

valid

Compiler

Compiled 739 to 519 computations (29.8% saved)

Precisions

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

ival-cos: 7.0ms (36.2% of total)

ival-exp: 4.0ms (20.7% of total)

ival-mult: 4.0ms (20.7% of total)

ival-sub: 3.0ms (15.5% of total)

const: 1.0ms (5.2% of total)

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

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.8066051344841614e+41	2.430262699590795e+47
20.0ms	0.018711756661017414	1611.1007771167333

Results

28.0ms

288×

valid

Compiler

Compiled 703 to 501 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 7.0ms (35.2% of total)

ival-exp: 5.0ms (25.1% of total)

ival-mult: 4.0ms (20.1% of total)

ival-sub: 3.0ms (15.1% of total)

const: 1.0ms (5% of total)

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

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.135730339302371e+101	7.094478597498295e+103
25.0ms	0.018711756661017414	1611.1007771167333

Results

31.0ms

272×

valid

Compiler

Compiled 412 to 333 computations (19.2% saved)

Precisions

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

ival-mult: 10.0ms (43.4% of total)

ival-cos: 6.0ms (26% of total)

ival-exp: 4.0ms (17.3% of total)

ival-sub: 3.0ms (13% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.1174075368870748e+149	9.66831087713722e+154
20.0ms	0.018711756661017414	1611.1007771167333

Results

28.0ms

288×

valid

Compiler

Compiled 388 to 321 computations (17.3% saved)

Precisions

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

ival-cos: 6.0ms (31.3% of total)

ival-mult: 5.0ms (26.1% of total)

ival-exp: 4.0ms (20.9% of total)

ival-sub: 3.0ms (15.7% of total)

const: 1.0ms (5.2% of total)

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

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.018711756661017414	1611.1007771167333

Results

14.0ms

144×

valid

Compiler

Compiled 172 to 141 computations (18% saved)

Precisions

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

ival-exp: 3.0ms (30.6% of total)

ival-cos: 3.0ms (30.6% of total)

ival-mult: 2.0ms (20.4% of total)

ival-sub: 1.0ms (10.2% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	2.411356300183634e+225	5.527329136840802e+226
16.0ms	130455.79284376102	3762045.997279736

Results

15.0ms

144×

valid

Compiler

Compiled 301 to 225 computations (25.2% saved)

Precisions

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

ival-cos: 3.0ms (31.9% of total)

ival-exp: 2.0ms (21.3% of total)

ival-mult: 2.0ms (21.3% of total)

ival-sub: 1.0ms (10.6% of total)

const: 0.0ms (0% of total)

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

bsearch116.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	2.411356300183634e+225	5.527329136840802e+226
112.0ms	130455.79284376102	3762045.997279736

Results

13.0ms

128×

valid

Compiler

Compiled 244 to 183 computations (25% saved)

Precisions

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

ival-cos: 3.0ms (34% of total)

ival-exp: 2.0ms (22.6% of total)

ival-mult: 2.0ms (22.6% of total)

ival-sub: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.215561599279983e-5	0.018711756661017414

Results

13.0ms

128×

valid

Compiler

Compiled 171 to 143 computations (16.4% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

35×	`*-commutative`
22×	`+-commutative`
18×	`sub-neg`
9×	`neg-sub0`
9×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1125
1	174	1125
2	202	1125
3	225	1125
4	233	1125
5	234	1125

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))))
(if (<=.f64 im #s(literal 1643813863990231/2251799813685248 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))) (if (<=.f64 im #s(literal 335000000000000017667336330636865207319658496 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))))
(if (<=.f64 im #s(literal 3884354678607053/562949953421312 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))) (if (<=.f64 im #s(literal 335000000000000017667336330636865207319658496 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 (neg.f64 im) (cos.f64 re)) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))))
(if (<=.f64 im #s(literal 4165829655317709/1125899906842624 binary64)) (.f64 (neg.f64 im) (cos.f64 re)) (if (<=.f64 im #s(literal 18499999999999999715961885446765298308887129624697337504489760974520703923072603105583528916399689873950520034159321960044454693935174732595173768017477632 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (cos.f64 re)))))
(if (<=.f64 im #s(literal 2589569785738035/562949953421312 binary64)) (.f64 (neg.f64 im) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 320000 binary64)) (.f64 (neg.f64 im) (cos.f64 re)) (if (<=.f64 im #s(literal 19999999999999999226601456666277228317312027608945821444520376213797755867253464449639851093277241451755357223170329126057960799481106437684193392085572710063277407375056830116569569494225707696575710713873448865384990225989632 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))))
(if (<=.f64 im #s(literal 470000 binary64)) (neg.f64 im) (if (<=.f64 im #s(literal 3999999999999999713816893794546107982437658449785947650145580172180204685993670313209666361228427737509408037694354544537017938491765844711352872162519445434460112208714344774433322120634026584523548195666621841294666751803392 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))))))
(if (<=.f64 im #s(literal 5332261958806667/288230376151711744 binary64)) (neg.f64 im) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))))
(neg.f64 im)
#s(literal -1 binary64)

Outputs
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 1643813863990231/2251799813685248 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))) (if (<=.f64 im #s(literal 335000000000000017667336330636865207319658496 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))))
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(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 26 binary64) (.f64 im (+.f64 (.f64 im (-.f64 (*.f64 im #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))))))
(if (<=.f64 im #s(literal 4165829655317709/1125899906842624 binary64)) (.f64 (neg.f64 im) (cos.f64 re)) (if (<=.f64 im #s(literal 18499999999999999715961885446765298308887129624697337504489760974520703923072603105583528916399689873950520034159321960044454693935174732595173768017477632 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (.f64 im #s(literal -1/2 binary64)))) (cos.f64 re)))))
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(if (<=.f64 im #s(literal 320000 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (if (<=.f64 im #s(literal 19999999999999999226601456666277228317312027608945821444520376213797755867253464449639851093277241451755357223170329126057960799481106437684193392085572710063277407375056830116569569494225707696575710713873448865384990225989632 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 im #s(literal 320000 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (if (<=.f64 im #s(literal 19999999999999999226601456666277228317312027608945821444520376213797755867253464449639851093277241451755357223170329126057960799481106437684193392085572710063277407375056830116569569494225707696575710713873448865384990225989632 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (+.f64 (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (+.f64 (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
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(if (<=.f64 im #s(literal 5332261958806667/288230376151711744 binary64)) (neg.f64 im) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 5332261958806667/288230376151711744 binary64)) (neg.f64 im) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 5332261958806667/288230376151711744 binary64)) (neg.f64 im) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 26 binary64) (.f64 im (+.f64 (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(neg.f64 im)
#s(literal -1 binary64)

soundness1.1s (13%)

Rules

1396×	`fma-define`
975×	`log1p-expm1-u`
737×	`associate-r`
547×	`associate-r`
541×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	338
1	664	314
0	798	17354
1	1975	15661
2	5987	15629
0	660	12677
1	1612	12334
2	5719	12060
0	36	321
1	465	315
2	6018	315
0	36	324
1	86	308
2	244	308
3	768	304
4	1960	294
5	3017	294
6	3397	294
7	3805	294
8	4502	294
9	5011	294
10	5176	294
11	5270	294
12	5270	294
13	5270	294
0	14	146
1	174	146
2	2641	146

Stop Event

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

Compiler

Compiled 638 to 225 computations (64.7% saved)

preprocess110.0ms (1.3%)

Remove: (abs re)
Compiler: Compiled 1024 to 454 computations (55.7% saved)

analyze0.0ms (0%)

sample2.4s (27.2%)

preprocess231.0ms (2.6%)

explain252.0ms (2.9%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify146.0ms (1.7%)

localize72.0ms (0.8%)

series154.0ms (1.7%)

rewrite146.0ms (1.7%)

simplify105.0ms (1.2%)

eval14.0ms (0.2%)

prune24.0ms (0.3%)

simplify77.0ms (0.9%)

localize199.0ms (2.3%)

series47.0ms (0.5%)

rewrite215.0ms (2.4%)

simplify185.0ms (2.1%)

eval88.0ms (1%)

prune87.0ms (1%)

simplify87.0ms (1%)

localize324.0ms (3.7%)

series46.0ms (0.5%)

rewrite215.0ms (2.4%)

simplify495.0ms (5.6%)

eval97.0ms (1.1%)

prune168.0ms (1.9%)

simplify82.0ms (0.9%)

localize218.0ms (2.5%)

series193.0ms (2.2%)

rewrite160.0ms (1.8%)

simplify240.0ms (2.7%)

eval93.0ms (1.1%)

prune103.0ms (1.2%)

regimes98.0ms (1.1%)

regimes9.0ms (0.1%)

regimes15.0ms (0.2%)

regimes27.0ms (0.3%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes15.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch44.0ms (0.5%)

bsearch43.0ms (0.5%)

bsearch45.0ms (0.5%)

bsearch43.0ms (0.5%)

bsearch23.0ms (0.3%)

bsearch22.0ms (0.3%)

bsearch116.0ms (1.3%)

bsearch20.0ms (0.2%)

simplify21.0ms (0.2%)

soundness1.1s (13%)

preprocess110.0ms (1.3%)

end0.0ms (0%)

Profiling