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)

sample1.9s (23.5%)

Results

1.2s	4040×	1	valid
405.0ms	4216×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-exp: 601.0ms (45.4% of total)

ival-cos: 299.0ms (22.6% of total)

ival-mult: 196.0ms (14.8% of total)

ival-sub: 137.0ms (10.3% of total)

backward-pass: 71.0ms (5.4% of total)

const: 21.0ms (1.6% of total)

Bogosity

preprocess230.0ms (2.8%)

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)

explain174.0ms (2.1%)

FPErrors

Click to see full error table

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

Results

95.0ms	246×	1	valid
31.0ms	266×	0	valid

Compiler

Compiled 96 to 35 computations (63.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-exp: 39.0ms (45.6% of total)

ival-cos: 18.0ms (21.1% of total)

ival-mult: 13.0ms (15.2% of total)

ival-sub: 8.0ms (9.4% of total)

backward-pass: 6.0ms (7% of total)

const: 1.0ms (1.2% of total)

eval2.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(.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)

simplify89.0ms (1.1%)

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

localize79.0ms (1%)

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	54.9%	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

49.0ms	123×	1	valid
17.0ms	133×	0	valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-exp: 19.0ms (45.6% of total)

ival-cos: 9.0ms (21.6% of total)

ival-mult: 5.0ms (12% of total)

ival-neg: 3.0ms (7.2% of total)

backward-pass: 3.0ms (7.2% of total)

ival-sub: 2.0ms (4.8% of total)

const: 0.0ms (0% of total)

series10.0ms (0.1%)

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	im	@	-inf	(* (- (exp (neg im)) (exp im)) (cos re))
1.0ms	im	@	0	(exp (neg im))

rewrite146.0ms (1.8%)

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)

simplify102.0ms (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)

eval15.0ms (0.2%)

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

prune22.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	101	10	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	11	112

Accuracy

99.9%

Counts

112 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.3%	(.f64 #s(literal 1/2 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)))))
	43.2%	(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	54.9%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
▶	51.9%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
	90.3%	(.f64 #s(literal 1/2 binary64) (.f64 (.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))) (cos.f64 re)))
	84.0%	(.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)))
▶	51.5%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
	2.1%	(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
▶	2.1%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.6%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
▶	3.5%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))

Compiler

Compiled 237 to 186 computations (21.5% saved)

simplify64.0ms (0.8%)

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	0	(*.f64 #s(literal -2 binary64) im)
	cost-diff	0	(cos.f64 re)
✓	cost-diff	6528	(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))))
✓	cost-diff	12928	(.f64 #s(literal 1/2 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)))))

Rules

641×	`associate-+l+`
635×	`associate-+r+`
513×	`fma-define`
495×	`distribute-lft-in`
474×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	478
1	60	454
2	142	444
3	458	440
4	1378	438
5	3022	438
6	5490	438

Stop Event

1×	node limit

Calls

Call 1

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

localize128.0ms (1.5%)

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	99.8%	(.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%	(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))))
✓	accuracy	99.9%	(.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)))
✓	accuracy	99.8%	(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))
✓	accuracy	99.6%	(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))

Results

89.0ms

256×

valid

Compiler

Compiled 150 to 27 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 20.0ms (38.1% of total)

ival-pow: 9.0ms (17.1% of total)

...c/correct-round.rkt:119:19: 7.0ms (13.3% of total)

ival-fma: 6.0ms (11.4% of total)

ival-cos: 6.0ms (11.4% of total)

ival-exp: 2.0ms (3.8% of total)

ival-sub: 1.0ms (1.9% of total)

const: 1.0ms (1.9% of total)

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

series44.0ms (0.5%)

Counts

13 → 208

Calls

Call 1

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

Outputs
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) im) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) (.f64 #s(literal 1/2 binary64) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (.f64 #s(literal 1/360 binary64) im)))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/12 binary64) im) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))>
#<alt (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/120 binary64) (cos.f64 re)))))>
#<alt (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/120 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 re)) (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) im) (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) im) (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) im) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) im) (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) im) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/360 binary64) im)))))))))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 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 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (.f64 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re))))>
#<alt (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/60 binary64) (cos.f64 re)))))>
#<alt (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/60 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/60 binary64) (cos.f64 re)) (.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/60 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/60 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))))>
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#<alt (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re))))>
#<alt (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re))))>
#<alt (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re))))>
#<alt (.f64 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/60 binary64) (cos.f64 re)) (.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/60 binary64) (cos.f64 re)) (.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/60 binary64) (cos.f64 re)) (.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #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

57 calls:

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

rewrite201.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

985×	`log1p-expm1-u`
787×	`prod-diff`
305×	`expm1-log1p-u`
208×	`associate-r`
160×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	379
1	385	355
2	4635	355

Stop Event

1×	node limit

Counts

13 → 200

Calls

Call 1

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

Outputs
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1 binary64) im)) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1 binary64) im)) (.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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)))))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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)))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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)))))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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)))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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))))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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))))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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))))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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))))))) #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) (.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) im)))
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) im)) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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))))))) #s(literal 1 binary64))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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)))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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)))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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)))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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 (sqrt.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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)))))) (sqrt.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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 (+.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) im)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) im)) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) im)) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) im)) (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(pow.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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))))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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)))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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)))))))
(exp.f64 (log.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (*.f64 (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)))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (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)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 1 binary64))
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(sqrt.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 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 3 binary64))) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (log.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #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 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 1 binary64)))

simplify257.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

770×	`associate-r`
654×	`fma-define`
592×	`associate-l`
331×	`fma-neg`
298×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	702	17701
1	1897	16553
2	7528	16549

Stop Event

1×	node limit

Counts

408 → 435

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) im) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) (.f64 #s(literal 1/2 binary64) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (.f64 #s(literal 1/360 binary64) im)))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/12 binary64) im) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/120 binary64) (cos.f64 re)))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/120 binary64) (cos.f64 re)))))
(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 re)) (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))
(+.f64 (.f64 #s(literal -2 binary64) im) (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))))
(+.f64 (.f64 #s(literal -2 binary64) im) (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) im) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))))
(+.f64 (.f64 #s(literal -2 binary64) im) (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) im) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/360 binary64) im)))))))))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.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 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(.f64 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/60 binary64) (cos.f64 re)))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/60 binary64) (cos.f64 re)))))
(.f64 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/60 binary64) (cos.f64 re)) (.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/60 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/60 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 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)
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(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 27 binary64) (neg.f64 (exp.f64 im)))
(+.f64 #s(literal 27 binary64) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (exp.f64 im)) #s(literal 27 binary64))
(*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))) (sqrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 729 binary64) (.f64 (exp.f64 im) (+.f64 #s(literal 27 binary64) (exp.f64 im))))))
(*.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 729 binary64) (*.f64 (exp.f64 im) (+.f64 #s(literal 27 binary64) (exp.f64 im)))) (-.f64 #s(literal 19683 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (exp.f64 im)) (-.f64 #s(literal 729 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 729 binary64) (*.f64 (exp.f64 im) (+.f64 #s(literal 27 binary64) (exp.f64 im)))))
(/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 #s(literal 27 binary64) (exp.f64 im)))
(/.f64 (neg.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 729 binary64) (*.f64 (exp.f64 im) (+.f64 #s(literal 27 binary64) (exp.f64 im))))))
(/.f64 (neg.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 27 binary64) (exp.f64 im))))
(/.f64 (+.f64 #s(literal 19683 binary64) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 729 binary64) (-.f64 (.f64 (neg.f64 (exp.f64 im)) (neg.f64 (exp.f64 im))) (.f64 #s(literal 27 binary64) (neg.f64 (exp.f64 im))))))
(/.f64 (-.f64 #s(literal 729 binary64) (*.f64 (neg.f64 (exp.f64 im)) (neg.f64 (exp.f64 im)))) (-.f64 #s(literal 27 binary64) (neg.f64 (exp.f64 im))))
(pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(exp.f64 (log.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 1 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) #s(literal 1/9 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)))
(pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))) (*.f64 (cos.f64 re) #s(literal -1/3 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 im (cbrt.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 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 3 binary64))) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (log.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #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 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) im (.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) im)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))))
(pow.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 1 binary64))
(.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(pow.f64 (.f64 im (cbrt.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))) #s(literal 3 binary64))
(.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(pow.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(pow.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))) #s(literal 2 binary64))
(.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(sqrt.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (.f64 im (cbrt.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))) #s(literal 6 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 3 binary64))) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))) #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 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #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 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #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 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #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 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #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 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #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)))
(.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 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))))
(.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 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #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 #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 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(.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 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #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))))

eval98.0ms (1.2%)

Compiler: Compiled 12459 to 2240 computations (82% saved)

prune95.0ms (1.1%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	574	18	592
Fresh	1	4	5
Picked	4	1	5
Done	0	1	1
Total	579	24	603

Accuracy

100.0%

Counts

603 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.6%	(pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
▶	51.5%	(*.f64 (cos.f64 re) (neg.f64 im))
	84.0%	(.f64 im (.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
	12.6%	(.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im))) #s(literal 2 binary64)))
	43.2%	(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	40.9%	(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
	59.2%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
	50.5%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)) (cos.f64 re)))
✓	54.9%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
✓	51.9%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
	36.1%	(.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)))
	27.8%	(.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)))
▶	90.3%	(.f64 #s(literal 1/2 binary64) (.f64 (.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))) (cos.f64 re)))
	51.5%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (log1p.f64 (expm1.f64 (cos.f64 re)))))
	51.4%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (log.f64 (exp.f64 (cos.f64 re)))))
▶	51.5%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
	36.2%	(.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
	50.9%	(.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (pow.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))
	2.1%	(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
	3.6%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
▶	44.2%	(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
	29.9%	(neg.f64 im)
	2.1%	#s(literal 1/4 binary64)
▶	3.5%	#s(literal -1 binary64)

Compiler

Compiled 514 to 417 computations (18.9% saved)

simplify58.0ms (0.7%)

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	0	(cos.f64 re)
✓	cost-diff	0	(pow.f64 im #s(literal 5 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re))
✓	cost-diff	0	(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
	cost-diff	0	(neg.f64 im)
	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(*.f64 (cos.f64 re) (neg.f64 im))
	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
✓	cost-diff	256	(.f64 #s(literal 1/2 binary64) (.f64 (.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))) (cos.f64 re)))

Rules

740×	`distribute-lft-in`
681×	`distribute-rgt-in`
658×	`fma-define`
487×	`associate-r`
375×	`fma-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	522
1	75	522
2	163	520
3	438	512
4	1464	510
5	5662	510

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 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 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 #s(literal -1/60 binary64) (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 #s(literal -1/60 binary64) (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 #s(literal -1/60 binary64) (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 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/60 binary64) (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 (cos.f64 re) (neg.f64 im))
(cos.f64 re)
re
(neg.f64 im)
im
(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
#s(literal -1/120 binary64)
(*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re))
(pow.f64 im #s(literal 5 binary64))
im
#s(literal 5 binary64)
(cos.f64 re)
re
(.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 #s(literal -1/60 binary64) (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 im (*.f64 (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)) (cos.f64 re))))
(.f64 (.f64 #s(literal 1/2 binary64) 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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(.f64 im (.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)))))
(.f64 (cos.f64 re) (-.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 2 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) (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))) im)))
#s(literal 1/2 binary64)
(.f64 (.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))) (cos.f64 re))
(.f64 im (.f64 (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)) (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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(.f64 (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (.f64 im #s(literal -2 binary64)))) (cos.f64 re))
(.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)))
(fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64))))
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))
(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))
(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 (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)) (fma.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)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))
(fma.f64 #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)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))
#s(literal -1/60 binary64)
#s(literal 1/3 binary64)
(cos.f64 re)
re
#s(literal -1 binary64)
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 im (neg.f64 (cos.f64 re)))
(cos.f64 re)
re
(neg.f64 im)
im
(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(.f64 #s(literal -1/120 binary64) (.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))))
(.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
#s(literal -1/120 binary64)
(*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64)))
(pow.f64 im #s(literal 5 binary64))
im
#s(literal 5 binary64)
(cos.f64 re)
re
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
(*.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) (expm1.f64 (log1p.f64 (cos.f64 re))))
(.f64 #s(literal -2 binary64) (.f64 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 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
(expm1.f64 (log1p.f64 (cos.f64 re)))
(cos.f64 re)
(log1p.f64 (cos.f64 re))
(cos.f64 re)
re

localize204.0ms (2.5%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re))))
✓	accuracy	99.8%	(expm1.f64 (log1p.f64 (cos.f64 re)))
✓	accuracy	99.7%	(log1p.f64 (cos.f64 re))
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(pow.f64 im #s(literal 5 binary64))
✓	accuracy	99.9%	(*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re))
✓	accuracy	99.9%	(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
	accuracy	100.0%	(neg.f64 im)
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	99.8%	(*.f64 (cos.f64 re) (neg.f64 im))
✓	accuracy	100.0%	(.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)))
✓	accuracy	99.9%	(.f64 (.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))) (cos.f64 re))
✓	accuracy	99.8%	(.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)))
✓	accuracy	99.5%	(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))

Results

164.0ms

256×

valid

Compiler

Compiled 172 to 30 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 26.0ms (40% of total)

...c/correct-round.rkt:119:19: 12.0ms (18.4% of total)

ival-pow: 9.0ms (13.8% of total)

ival-cos: 7.0ms (10.8% of total)

ival-log1p: 4.0ms (6.1% of total)

ival-expm1: 3.0ms (4.6% of total)

ival-sub: 3.0ms (4.6% of total)

const: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

series152.0ms (1.8%)

Counts

14 → 171

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.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))) (cos.f64 re)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (neg.f64 im))>
#<alt (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re))>
#<alt (pow.f64 im #s(literal 5 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 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (.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))) (cos.f64 re))>
#<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 (log1p.f64 (cos.f64 re))>

Outputs
#<alt (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))>
#<alt (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/120 binary64) (cos.f64 re)))))>
#<alt (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/120 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 re)) (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))>
#<alt (.f64 #s(literal 1/2 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))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.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 #s(literal 1/2 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)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 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 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 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 #s(literal 1/48 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.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 (.f64 #s(literal 1/2 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 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 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 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.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 #s(literal 1/48 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)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (cos.f64 re) (-.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 #s(literal 1/2 binary64) (.f64 im (.f64 (cos.f64 re) (-.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 #s(literal 1/2 binary64) (.f64 im (.f64 (cos.f64 re) (-.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 #s(literal 1/2 binary64) (.f64 im (.f64 (cos.f64 re) (-.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 #s(literal 1/2 binary64) (.f64 im (.f64 (cos.f64 re) (-.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 #s(literal 1/2 binary64) (.f64 im (.f64 (cos.f64 re) (-.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 #s(literal 1/2 binary64) (.f64 im (.f64 (cos.f64 re) (-.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 #s(literal 1/2 binary64) (.f64 im (.f64 (cos.f64 re) (-.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 #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)))>
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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)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>

Calls

63 calls:

Time	Variable		Point	Expression
39.0ms	re	@	inf	(log (+ 1 (cos re)))
19.0ms	re	@	-inf	(log (+ 1 (cos re)))
1.0ms	re	@	inf	(* 1/2 (* (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) (cos re)))
1.0ms	re	@	0	(* 1/2 (* (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) (cos re)))
1.0ms	re	@	-inf	(* 1/2 (* (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) (cos re)))

rewrite208.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1155×	`log1p-expm1-u`
265×	`associate-r`
202×	`expm1-log1p-u`
196×	`add-exp-log`
196×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	370
1	472	362
2	5942	362

Stop Event

1×	node limit

Counts

14 → 231

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 (.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))) (cos.f64 re)))
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re))
(pow.f64 im #s(literal 5 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 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 (.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))) (cos.f64 re))
(.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)))
(log1p.f64 (cos.f64 re))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))) #s(literal 1 binary64))
(pow.f64 (.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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) (*.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)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))))
(cbrt.f64 (pow.f64 (.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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))))
(log1p.f64 (expm1.f64 (.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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))))
(exp.f64 (log.f64 (.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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))))
(exp.f64 (.f64 (log.f64 (.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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))) #s(literal 1 binary64)))
(-.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))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) im))
(*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(.f64 (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(neg.f64 (pow.f64 im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (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)) #s(literal -1/60 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/60 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)))
(log.f64 (pow.f64 (exp.f64 (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)) #s(literal -1/60 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))))
(exp.f64 (log.f64 (*.f64 (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)) #s(literal -1/60 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64))
(neg.f64 (*.f64 im (cos.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #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 im (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 im (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))))
(exp.f64 (log.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 5 binary64))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 5 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 5 binary64))) (cbrt.f64 (pow.f64 im #s(literal 10 binary64))))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 10 binary64))) (cbrt.f64 (pow.f64 im #s(literal 5 binary64))))
(*.f64 (pow.f64 im #s(literal 5/2 binary64)) (pow.f64 im #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 5 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 5 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 5 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 5 binary64))))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 im)))
(exp.f64 (.f64 (.f64 #s(literal 5 binary64) (log.f64 im)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64))
(neg.f64 (*.f64 im (cos.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #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 im (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 im (cos.f64 re))) #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 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 im (cos.f64 re)) #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 (cos.f64 re) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(*.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)))
(*.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) (+.f64 (cos.f64 re) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) (+.f64 (cos.f64 re) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #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)
(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)) #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)) #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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216000 binary64)) #s(literal -1/27 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/180 binary64)))))
(/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal -1/9 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216000 binary64)) #s(literal -1/27 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/180 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal -1/9 binary64)) (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)))
(pow.f64 (*.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 1 binary64))
(pow.f64 (cbrt.f64 (*.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 3 binary64))
(pow.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 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)) #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)) #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)) #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)) #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)) #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)) #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)) #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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))) #s(literal 1 binary64))
(pow.f64 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (*.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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))))
(cbrt.f64 (pow.f64 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #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)) #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))))
(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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(exp.f64 (log.f64 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(exp.f64 (.f64 (log.f64 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 1 binary64)))
(+.f64 (.f64 im (.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)))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (.f64 (.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))) im) (*.f64 im #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.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))))) #s(literal 1 binary64))
(/.f64 (.f64 im (+.f64 (pow.f64 (.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 3 binary64)) #s(literal -8 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64))))))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64))) (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 (.f64 (+.f64 (pow.f64 (.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 3 binary64)) #s(literal -8 binary64)) im) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 2 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 -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64)) 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)))
(pow.f64 (*.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))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.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)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.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))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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))))))
(cbrt.f64 (pow.f64 (*.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))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (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)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.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)))))
(log1p.f64 (expm1.f64 (*.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)))))
(exp.f64 (log.f64 (*.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)))))
(exp.f64 (.f64 (log.f64 (.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)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 re)))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (cos.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (cos.f64 re)))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 re))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 2 binary64)))
(*.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 (cos.f64 re) #s(literal 1 binary64)))
(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)))

simplify201.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

730×	`associate-r`
649×	`associate-l`
424×	`fma-define`
277×	`*-commutative`
241×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	696	13889
1	1634	13746
2	6173	13684

Stop Event

1×	node limit

Counts

402 → 412

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/120 binary64) (cos.f64 re)))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/120 binary64) (cos.f64 re)))))
(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
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(*.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 (cos.f64 re) #s(literal 1 binary64)))
(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) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 im (neg.f64 (cos.f64 re)))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))))
(.f64 im (.f64 (cos.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 (.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/120 binary64))))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (neg.f64 (cos.f64 re))))
(-.f64 (.f64 (.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (.f64 im (cos.f64 re)))
(.f64 im (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 re)) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 (.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/120 binary64))))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (neg.f64 (cos.f64 re))))
(-.f64 (.f64 (.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (.f64 im (cos.f64 re)))
(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal -1/120 binary64))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 (cos.f64 re) #s(literal -1/120 binary64) (.f64 (cos.f64 re) (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/120 binary64) (cos.f64 re)))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal -1/120 binary64)))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (-.f64 (fma.f64 (cos.f64 re) #s(literal -1/120 binary64) (.f64 (cos.f64 re) (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/120 binary64) (cos.f64 re)))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal -1/120 binary64)))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (-.f64 (fma.f64 (cos.f64 re) #s(literal -1/120 binary64) (.f64 (cos.f64 re) (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))
(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 re)) (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal 1/120 binary64) (cos.f64 re) (.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (neg.f64 (fma.f64 (cos.f64 re) #s(literal 1/120 binary64) (.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal 1/120 binary64) (cos.f64 re) (fma.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (neg.f64 (fma.f64 (cos.f64 re) #s(literal 1/120 binary64) (fma.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal 1/120 binary64) (cos.f64 re) (fma.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (neg.f64 (fma.f64 (cos.f64 re) #s(literal 1/120 binary64) (fma.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))
(.f64 #s(literal 1/2 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 (.f64 im #s(literal 1/2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.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 #s(literal 1/2 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)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im #s(literal -2 binary64))) (.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im #s(literal -2 binary64))) (.f64 #s(literal -1/4 binary64) (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 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 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 #s(literal 1/48 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.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))))))))
(fma.f64 #s(literal 1/2 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 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 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 (.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) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/48 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im #s(literal -2 binary64))) #s(literal -1/4 binary64) (.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im #s(literal -2 binary64))) (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 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 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 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 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (-.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 #s(literal 1/48 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)))))))))
(fma.f64 #s(literal 1/2 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 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 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 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 (.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))) #s(literal 1/48 binary64)))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im #s(literal -2 binary64))) #s(literal 1/48 binary64) (.f64 (.f64 (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)) (pow.f64 re #s(literal 2 binary64))) (.f64 im #s(literal -1/1440 binary64)))) (.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im #s(literal -2 binary64))) #s(literal -1/4 binary64))) (.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (cos.f64 re) (-.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 #s(literal 1/2 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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 im (cos.f64 re)) (*.f64 (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)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (cos.f64 re) (-.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 #s(literal 1/2 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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 im (cos.f64 re)) (*.f64 (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)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (cos.f64 re) (-.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 #s(literal 1/2 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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 im (cos.f64 re)) (*.f64 (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)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (cos.f64 re) (-.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 #s(literal 1/2 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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 im (cos.f64 re)) (*.f64 (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)) #s(literal 1/2 binary64)))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal -8 binary64)) im) (+.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (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 (.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 3 binary64)) #s(literal -8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))))))
(.f64 im (/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/60 binary64))) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (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)) (*.f64 #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 4 binary64)))))
(.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (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)) (.f64 #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 4 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 -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64)) 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 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64)) (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))))
(pow.f64 (*.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))) #s(literal 1 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)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.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)))) #s(literal 3 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)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.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))) #s(literal 3 binary64)) #s(literal 1/3 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)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 (*.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)))) #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)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.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))) #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)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.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 (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)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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 (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)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.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))) #s(literal 3 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)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (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)) #s(literal 3 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)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 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)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.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)))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.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 (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)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.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 (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)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.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)))) #s(literal 1 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)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 re)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 re))))
(*.f64 (log1p.f64 (cos.f64 re)) #s(literal 1 binary64))
(log1p.f64 (cos.f64 re))
(*.f64 #s(literal 1 binary64) (log1p.f64 (cos.f64 re)))
(log1p.f64 (cos.f64 re))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 re))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 2 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))))
(log1p.f64 (cos.f64 re))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 re))) (sqrt.f64 (log1p.f64 (cos.f64 re))))
(log1p.f64 (cos.f64 re))
(pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 1 binary64))
(log1p.f64 (cos.f64 re))
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 3 binary64))
(log1p.f64 (cos.f64 re))
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log1p.f64 (cos.f64 re))
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 2 binary64))
(log1p.f64 (cos.f64 re))
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 2 binary64)))
(log1p.f64 (cos.f64 re))
(log.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)))
(log1p.f64 (cos.f64 re))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 3 binary64)))
(log1p.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 re))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 re))))
(log1p.f64 (cos.f64 re))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64)))
(log1p.f64 (cos.f64 re))

eval80.0ms (1%)

Compiler: Compiled 10861 to 2300 computations (78.8% saved)

prune100.0ms (1.2%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	576	8	584
Fresh	5	12	17
Picked	2	3	5
Done	1	1	2
Total	584	24	608

Accuracy

100.0%

Counts

608 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.6%	(pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
	51.5%	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 re))) (neg.f64 im))
	51.4%	(*.f64 (log.f64 (exp.f64 (cos.f64 re))) (neg.f64 im))
▶	51.5%	(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
✓	51.5%	(*.f64 (cos.f64 re) (neg.f64 im))
	84.0%	(.f64 im (.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
	43.2%	(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	40.9%	(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
	59.2%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
✓	51.9%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
▶	36.1%	(.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)))
	27.8%	(.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)))
▶	90.3%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
	38.8%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (pow.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal 1/3 binary64))))
	51.1%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64))))
	36.2%	(.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
	50.9%	(.f64 #s(literal 1/2 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)))))
	2.1%	(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
	3.6%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
▶	34.3%	(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
✓	44.2%	(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
	29.9%	(neg.f64 im)
▶	2.1%	#s(literal 1/4 binary64)
✓	3.5%	#s(literal -1 binary64)

Compiler

Compiled 479 to 389 computations (18.8% saved)

simplify71.0ms (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	(log1p.f64 (cos.f64 re))
	cost-diff	12800	(expm1.f64 (log1p.f64 (cos.f64 re)))
✓	cost-diff	12800	(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))
✓	cost-diff	-6272	(.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64)))
	cost-diff	0	(cos.f64 re)
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) im)
	cost-diff	0	(pow.f64 im #s(literal 5 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
✓	cost-diff	-6336	(*.f64 im im)
✓	cost-diff	-6336	(.f64 #s(literal -1/60 binary64) (.f64 im im))
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(pow.f64 im #s(literal 2 binary64))

Rules

795×	`fma-define`
593×	`associate-r`
498×	`fma-neg`
421×	`cancel-sign-sub-inv`
409×	`associate-l`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	676
1	95	664
2	193	662
3	567	654
4	1891	652
5	4751	652

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 #s(literal -1/60 binary64) (.f64 im im)) #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 #s(literal -1/60 binary64) (*.f64 im im)) #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 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
#s(literal -1/60 binary64)
(*.f64 im im)
#s(literal 1/3 binary64)
(cos.f64 re)
re
#s(literal 1/4 binary64)
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
#s(literal -1/120 binary64)
(pow.f64 im #s(literal 5 binary64))
im
#s(literal 5 binary64)
(.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)))
#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 26 binary64) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#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)))
im
(-.f64 (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(cos.f64 re)
re
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (cos.f64 re))
(cos.f64 re)
re
(neg.f64 im)
im

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #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 #s(literal -1/60 binary64) (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 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) #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)) #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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))) (neg.f64 im)))
(.f64 (cos.f64 re) (-.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))) im))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))) (fma.f64 #s(literal -1/6 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 #s(literal -1/60 binary64) (*.f64 im im)) #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 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 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)) #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)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (.f64 im (cos.f64 re)))
(.f64 (.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))) (cos.f64 re))
(.f64 (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (.f64 im #s(literal -2 binary64)))) (cos.f64 re))
(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #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)))
(fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64))))
im
(-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(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))
(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 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))
(*.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)))
(*.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)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))
#s(literal -1/60 binary64)
(*.f64 im im)
(pow.f64 im #s(literal 2 binary64))
#s(literal 1/3 binary64)
(cos.f64 re)
re
#s(literal 1/4 binary64)
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
#s(literal -1/120 binary64)
(pow.f64 im #s(literal 5 binary64))
im
#s(literal 5 binary64)
(.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 (cos.f64 re) (+.f64 #s(literal 26 binary64) (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 26 binary64))))
(.f64 (cos.f64 re) (fma.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) im) #s(literal 13 binary64)))
(.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 13 binary64)))
#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 (cos.f64 re) (+.f64 #s(literal 26 binary64) (.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 26 binary64)))
(+.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))))
(+.f64 #s(literal 26 binary64) (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 26 binary64))
#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)))
(*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
im
(-.f64 (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64))
(fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/6 binary64) im)
(*.f64 im #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(cos.f64 re)
re
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (+.f64 (cos.f64 re) #s(literal 0 binary64)) (neg.f64 im))
(*.f64 (cos.f64 re) (neg.f64 im))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(cos.f64 re)
(log1p.f64 (cos.f64 re))
(cos.f64 re)
re
(neg.f64 im)
im

localize283.0ms (3.4%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	99.8%	(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
	accuracy	99.8%	(expm1.f64 (log1p.f64 (cos.f64 re)))
	accuracy	99.7%	(log1p.f64 (cos.f64 re))
✓	accuracy	99.9%	(.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.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))
✓	accuracy	99.8%	(.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64)))
✓	accuracy	99.5%	(*.f64 #s(literal -1/6 binary64) im)
	accuracy	100.0%	(pow.f64 im #s(literal 5 binary64))
✓	accuracy	99.9%	(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
✓	accuracy	100.0%	(.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #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 -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(.f64 #s(literal -1/60 binary64) (.f64 im im))

Results

225.0ms

256×

valid

Compiler

Compiled 228 to 37 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 22.0ms (31% of total)

...c/correct-round.rkt:119:19: 16.0ms (22.6% of total)

ival-pow: 8.0ms (11.3% of total)

ival-cos: 6.0ms (8.5% of total)

ival-log1p: 6.0ms (8.5% of total)

ival-sub: 5.0ms (7% of total)

ival-expm1: 3.0ms (4.2% of total)

ival-add: 2.0ms (2.8% of total)

const: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

series26.0ms (0.3%)

Counts

12 → 148

Calls

Call 1

Inputs
#<alt (.f64 #s(literal -1/60 binary64) (.f64 im im))>
#<alt (*.f64 im im)>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) im)>
#<alt (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64)))>
#<alt (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))>
#<alt (*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))>
#<alt (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))>
#<alt (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (.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))>
#<alt (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>

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

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	im	@	-inf	(* -1/120 (pow im 5))
1.0ms	im	@	inf	(* (+ 26 (* im (- (* im (- (* -1/6 im) 1/2)) 1))) (cos re))
1.0ms	re	@	inf	(* (+ 26 (* im (- (* im (- (* -1/6 im) 1/2)) 1))) (cos re))
1.0ms	re	@	0	(* (+ 26 (* im (- (* im (- (* -1/6 im) 1/2)) 1))) (cos re))
1.0ms	im	@	inf	(* im (- (* -1/6 im) 1/2))

rewrite270.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`prod-diff`
245×	`associate-r`
240×	`log1p-expm1-u`
239×	`expm1-log1p-u`
231×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	323
1	567	315
2	7167	315

Stop Event

1×	node limit

Counts

12 → 220

Calls

Call 1

Inputs
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(*.f64 im im)
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 #s(literal -1/6 binary64) im)
(.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))
(.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #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 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))) #s(literal 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 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/60 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/60 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/60 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 (pow.f64 (cbrt.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))
(neg.f64 (pow.f64 im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 5/2 binary64)) (sqrt.f64 #s(literal -1/120 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) #s(literal 1/14400 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 5 binary64))) #s(literal -1/120 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal -1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal -1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/6 binary64)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal -1/6 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal -1/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal -1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal -1/6 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal -1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 im (.f64 im #s(literal -1/6 binary64))) (*.f64 im #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 im #s(literal -1/6 binary64)) im) (*.f64 #s(literal -1/2 binary64) im))
(-.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 im (+.f64 (pow.f64 (.f64 im #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal -1/12 binary64)))))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) im) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal -1/12 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) im) (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 im #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 im #s(literal -1/6 binary64)))
(*.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 im #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal -1/12 binary64))))))
(.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal -1/12 binary64)))) (+.f64 (pow.f64 (*.f64 im #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (-.f64 (.f64 im #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 im #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 im #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 im #s(literal -1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 im #s(literal -1/6 binary64))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 im #s(literal -1/6 binary64))) (sqrt.f64 (.f64 im #s(literal -1/6 binary64))) #s(literal -1/2 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64))
(neg.f64 (*.f64 im (cos.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #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 im (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 im (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
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(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 26 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 26 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 im (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) im)
(+.f64 (.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) im) im)
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 im (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 im (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) im) (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) im) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))

simplify340.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

470×	`associate-r`
446×	`associate-l`
380×	`fma-define`
290×	`*-commutative`
259×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	711	14263
1	1752	13947
2	5796	12915

Stop Event

1×	node limit

Counts

368 → 418

Calls

Call 1

Inputs
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 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 -1/2 binary64) im)
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 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 1/6 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 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/6 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 #s(literal -1/6 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.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)))
(*.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 #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 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 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 1/60 binary64) (*.f64 #s(literal 1/3 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 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 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 1/60 binary64) (*.f64 #s(literal 1/3 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 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.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 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(.f64 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/60 binary64) (cos.f64 re)))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal -1/60 binary64) (cos.f64 re)))))
(.f64 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/60 binary64) (cos.f64 re)) (.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/60 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 1/60 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 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 (.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 #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 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(+.f64 (.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 (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 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 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 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))))
(+.f64 (.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 (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 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 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 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 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 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))))))
(.f64 im (.f64 (cos.f64 re) (-.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 (cos.f64 re) (-.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 (cos.f64 re) (-.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 (cos.f64 re) (-.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 (cos.f64 re) (-.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 (cos.f64 re) (-.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 (cos.f64 re) (-.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))))
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(*.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)))
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(+.f64 (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (cos.f64 re)) (*.f64 #s(literal 26 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 26 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) (+.f64 (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 17576 binary64))) (+.f64 #s(literal 676 binary64) (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 26 binary64)))))
(/.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 676 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (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 26 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 17576 binary64)) (cos.f64 re)) (+.f64 #s(literal 676 binary64) (.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 26 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 676 binary64) (pow.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 26 binary64)))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 26 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 26 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 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 (fma.f64 im #s(literal -1/6 binary64) #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 (fma.f64 im #s(literal -1/6 binary64) #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 (fma.f64 im #s(literal -1/6 binary64) #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 (fma.f64 im #s(literal -1/6 binary64) #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 (fma.f64 im #s(literal -1/6 binary64) #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 (fma.f64 im #s(literal -1/6 binary64) #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 (fma.f64 im #s(literal -1/6 binary64) #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 (fma.f64 im #s(literal -1/6 binary64) #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 (fma.f64 im #s(literal -1/6 binary64) #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 (fma.f64 im #s(literal -1/6 binary64) #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 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 26 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 im (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) im)
(+.f64 (.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) im) im)
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 im (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 im (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) im) (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) im) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 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 -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/6 binary64) im)
(*.f64 im #s(literal -1/6 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 im))
(fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 im))
(fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 im))
(fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/6 binary64) im)
(*.f64 im #s(literal -1/6 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 im))
(fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 im))
(fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) im)) (neg.f64 im))
(fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(*.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))
(-.f64 (.f64 (.f64 im (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))) 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)))))))
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eval89.0ms (1.1%)

Compiler: Compiled 12495 to 2873 computations (77% saved)

prune105.0ms (1.3%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	610	8	618
Fresh	6	9	15
Picked	2	3	5
Done	1	3	4
Total	619	23	642

Accuracy

100.0%

Counts

642 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.6%	(pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
	38.8%	(*.f64 (pow.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (neg.f64 im))
	51.1%	(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64)) (neg.f64 im))
	51.5%	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 re))) (neg.f64 im))
	51.4%	(*.f64 (log.f64 (exp.f64 (cos.f64 re))) (neg.f64 im))
✓	51.5%	(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
✓	51.5%	(*.f64 (cos.f64 re) (neg.f64 im))
	36.2%	(.f64 im (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
	40.9%	(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
	59.2%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
	27.6%	(.f64 #s(literal 1/2 binary64) (+.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)))))
✓	51.9%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
	36.1%	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im (*.f64 im #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
	27.8%	(.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)))) (cos.f64 re)))
	90.3%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
	50.9%	(.f64 #s(literal 1/2 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)))))
	2.1%	(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
	3.6%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
✓	34.3%	(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
	13.8%	(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) #s(literal 1/14400 binary64)))
	29.9%	(neg.f64 im)
✓	2.1%	#s(literal 1/4 binary64)
✓	3.5%	#s(literal -1 binary64)

Compiler

Compiled 701 to 366 computations (47.8% saved)

regimes118.0ms (1.4%)

Counts

46 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 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 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 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 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 im (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 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 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 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 im (*.f64 im #s(literal -1/6 binary64))) #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 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) #s(literal 1/14400 binary64)))
(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 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 im (.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.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 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (log.f64 (exp.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64)) (neg.f64 im))
(*.f64 (pow.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (neg.f64 im))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1 binary64) im))) #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) (log.f64 (exp.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 #s(literal -2 binary64) im) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64))))
(.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 #s(literal -2 binary64) im)) #s(literal 3 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (pow.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal 1/3 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 #s(literal -1/60 binary64) (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) (cbrt.f64 (.f64 (pow.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))
(.f64 #s(literal 1/2 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)))))
(.f64 #s(literal 1/2 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)))))

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) (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)))))

Calls

6 calls:

47.0ms	(cos.f64 re)
15.0ms	im
14.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
13.0ms	re
11.0ms	(.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
90.3%	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)))`
90.3%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
90.3%	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)

regimes27.0ms (0.3%)

Counts

45 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 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 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 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 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 im (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 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 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 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 im (*.f64 im #s(literal -1/6 binary64))) #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 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) #s(literal 1/14400 binary64)))
(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 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 im (.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.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 #s(literal -2 binary64) im) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (log.f64 (exp.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64)) (neg.f64 im))
(*.f64 (pow.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (neg.f64 im))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1 binary64) im))) #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) (log.f64 (exp.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 #s(literal -2 binary64) im) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64))))
(.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 #s(literal -2 binary64) im)) #s(literal 3 binary64)) (cos.f64 re)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -2 binary64) im) (pow.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal 1/3 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 #s(literal -1/60 binary64) (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) (cbrt.f64 (.f64 (pow.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))
(.f64 #s(literal 1/2 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)))))

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

Calls

2 calls:

14.0ms	im
10.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.9%	2	`im`
99.9%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

22 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 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 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 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 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 im (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 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 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 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 im (*.f64 im #s(literal -1/6 binary64))) #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 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) #s(literal 1/14400 binary64)))
(.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 5 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 #s(literal -1/60 binary64) (*.f64 im im)) #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 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))

Calls

1 calls:

8.0ms

im

Results

Accuracy	Segments	Branch
98.3%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

18 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 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 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 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 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 im (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 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 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 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 im (*.f64 im #s(literal -1/6 binary64))) #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)))

Outputs

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

Calls

1 calls:

6.0ms

im

Results

Accuracy	Segments	Branch
96.8%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 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 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 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 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 im (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 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 (+.f64 #s(literal 26 binary64) (.f64 im (-.f64 (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (cos.f64 re)))

Outputs

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

Calls

1 calls:

5.0ms

im

Results

Accuracy	Segments	Branch
94.1%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 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 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 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 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 im (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))

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

Calls

3 calls:

7.0ms	re
5.0ms	im
5.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
55.4%	2	`re`
55.3%	3	`(cos.f64 re)`
88.2%	2	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 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 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))

Outputs
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))

Calls

1 calls:

4.0ms

im

Results

Accuracy	Segments	Branch
80.1%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 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 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))

Outputs
(neg.f64 im)
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))

Calls

1 calls:

3.0ms

im

Results

Accuracy	Segments	Branch
59.1%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/4 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 im (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))

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

Calls

2 calls:

5.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
36.3%	2	`re`
53.9%	2	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

3.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
29.9%	1	`re`
29.9%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes260.0ms (3.1%)

Accuracy

Total -1.3b remaining (-2.1%)

Threshold costs -1.3b (-2.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	re
1.0ms	im

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	-0.006893933631525351

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.006893933631525351

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch103.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
81.0ms	6.274653007498028e+58	4.090635532788637e+62
19.0ms	0.0034469599898970665	1115184.8666028373

Results

86.0ms

272×

valid

Compiler

Compiled 563 to 423 computations (24.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-cos: 67.0ms (85.9% of total)

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

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

ival-sub: 3.0ms (3.8% of total)

const: 1.0ms (1.3% of total)

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

bsearch40.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.896816911750475e+102	2.9435121696506787e+105
20.0ms	0.0034469599898970665	1115184.8666028373

Results

27.0ms

272×

valid

Compiler

Compiled 396 to 325 computations (17.9% saved)

Precisions

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

ival-cos: 6.0ms (32.8% of total)

ival-exp: 4.0ms (21.9% of total)

ival-mult: 4.0ms (21.9% of total)

ival-sub: 3.0ms (16.4% of total)

const: 0.0ms (0% of total)

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

bsearch47.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.5263406637621074e+147	9.003471551872466e+154
24.0ms	0.0034469599898970665	1115184.8666028373

Results

33.0ms

288×

valid

Compiler

Compiled 406 to 339 computations (16.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-cos: 13.0ms (52.6% of total)

ival-exp: 4.0ms (16.2% of total)

ival-mult: 4.0ms (16.2% of total)

ival-sub: 3.0ms (12.1% of total)

const: 1.0ms (4% of total)

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

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.0034469599898970665	1115184.8666028373

Results

15.0ms

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 (31% of total)

ival-cos: 3.0ms (31% of total)

ival-mult: 2.0ms (20.6% of total)

ival-sub: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.220649302373281e+42	2.9916547659521563e+43

Results

11.0ms

112×

valid

Compiler

Compiled 131 to 106 computations (19.1% saved)

Precisions

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

ival-cos: 3.0ms (44% of total)

ival-mult: 2.0ms (29.4% of total)

ival-sub: 1.0ms (14.7% of total)

ival-exp: 1.0ms (14.7% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.0034469599898970665	1115184.8666028373

Results

15.0ms

144×

valid

Compiler

Compiled 136 to 114 computations (16.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 4.0ms (37.7% of total)

ival-exp: 3.0ms (28.2% of total)

ival-mult: 2.0ms (18.8% of total)

ival-sub: 1.0ms (9.4% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.0034469599898970665	1115184.8666028373

Results

15.0ms

144×

valid

Compiler

Compiled 226 to 177 computations (21.7% saved)

Precisions

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

ival-exp: 3.0ms (31.4% of total)

ival-cos: 3.0ms (31.4% of total)

ival-mult: 2.0ms (20.9% of total)

ival-sub: 1.0ms (10.5% of total)

const: 0.0ms (0% of total)

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

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

35×	`*-commutative`
21×	`+-commutative`
16×	`sub-neg`
8×	`neg-sub0`
8×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	871
1	166	871
2	192	871
3	214	871
4	221	871
5	222	871

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) (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))))))
(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 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))))
(if (<=.f64 im #s(literal 13/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))) (if (<=.f64 im #s(literal 102000000000000001973726263831349329721721638370843509368291328 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 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))))
(if (<=.f64 im #s(literal 4165829655317709/1125899906842624 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 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 im #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))))
(if (<=.f64 im #s(literal 11/2 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))))
(if (<=.f64 im #s(literal 4728779608739021/1125899906842624 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 2650000000000000142158514333502059636064256 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
(if (<=.f64 im #s(literal 3715469692580659/1125899906842624 binary64)) (neg.f64 im) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
(if (<=.f64 im #s(literal 5 binary64)) (neg.f64 im) (.f64 #s(literal 1/2 binary64) (+.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))))))
(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) (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))))))
(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) (fma.f64 (cos.f64 re) (.f64 im #s(literal -2 binary64)) (.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))))))
(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 #s(literal -1/60 binary64) (*.f64 im im)) #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 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 13/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))) (if (<=.f64 im #s(literal 102000000000000001973726263831349329721721638370843509368291328 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 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))))
(if (or (<=.f64 im #s(literal 13/2 binary64)) (not (<=.f64 im #s(literal 102000000000000001973726263831349329721721638370843509368291328 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 4165829655317709/1125899906842624 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 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 im #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))))
(if (<=.f64 im #s(literal 4165829655317709/1125899906842624 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 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 im #s(literal -1/6 binary64))) #s(literal 1 binary64))))))))
(if (<=.f64 im #s(literal 4165829655317709/1125899906842624 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 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 im #s(literal -1/6 binary64))) #s(literal -1 binary64))))))))
(if (<=.f64 im #s(literal 11/2 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))))
(if (<=.f64 im #s(literal 11/2 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 #s(literal -1/2 binary64)) #s(literal 1 binary64))))))))
(if (<=.f64 im #s(literal 11/2 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
(if (<=.f64 im #s(literal 4728779608739021/1125899906842624 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 2650000000000000142158514333502059636064256 binary64)) (.f64 (cos.f64 re) (neg.f64 im)) (.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
(if (<=.f64 im #s(literal 3715469692580659/1125899906842624 binary64)) (neg.f64 im) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
(if (<=.f64 im #s(literal 5 binary64)) (neg.f64 im) (.f64 #s(literal 1/2 binary64) (+.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))))))
(if (<=.f64 im #s(literal 5 binary64)) (neg.f64 im) (.f64 #s(literal 1/2 binary64) (+.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 5 binary64)) (neg.f64 im) (.f64 #s(literal 1/2 binary64) (+.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))))))
(neg.f64 im)
#s(literal -1 binary64)

soundness1.5s (18.6%)

Rules

1396×	`fma-define`
1155×	`log1p-expm1-u`
985×	`log1p-expm1-u`
884×	`unsub-neg`
787×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	379
1	385	355
2	4635	355
0	702	17701
1	1897	16553
2	7528	16549
0	34	370
1	472	362
2	5942	362
0	711	14263
1	1752	13947
2	5796	12915
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	164	2251
1	396	2078
2	1102	2015
3	3608	1955
4	7122	1955
0	14	146
1	174	146
2	2641	146

Stop Event

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

Compiler

Compiled 889 to 280 computations (68.5% saved)

preprocess93.0ms (1.1%)

Remove: (abs re)
Compiler: Compiled 854 to 442 computations (48.2% saved)

analyze0.0ms (0%)

sample1.9s (23.5%)

preprocess230.0ms (2.8%)

explain174.0ms (2.1%)

eval2.0ms (0%)

prune1.0ms (0%)

simplify89.0ms (1.1%)

localize79.0ms (1%)

series10.0ms (0.1%)

rewrite146.0ms (1.8%)

simplify102.0ms (1.2%)

eval15.0ms (0.2%)

prune22.0ms (0.3%)

simplify64.0ms (0.8%)

localize128.0ms (1.5%)

series44.0ms (0.5%)

rewrite201.0ms (2.4%)

simplify257.0ms (3.1%)

eval98.0ms (1.2%)

prune95.0ms (1.1%)

simplify58.0ms (0.7%)

localize204.0ms (2.5%)

series152.0ms (1.8%)

rewrite208.0ms (2.5%)

simplify201.0ms (2.4%)

eval80.0ms (1%)

prune100.0ms (1.2%)

simplify71.0ms (0.9%)

localize283.0ms (3.4%)

series26.0ms (0.3%)

rewrite270.0ms (3.3%)

simplify340.0ms (4.1%)

eval89.0ms (1.1%)

prune105.0ms (1.3%)

regimes118.0ms (1.4%)

regimes27.0ms (0.3%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

regimes17.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes260.0ms (3.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch103.0ms (1.2%)

bsearch40.0ms (0.5%)

bsearch47.0ms (0.6%)

bsearch22.0ms (0.3%)

bsearch16.0ms (0.2%)

bsearch22.0ms (0.3%)

bsearch22.0ms (0.3%)

simplify17.0ms (0.2%)

soundness1.5s (18.6%)

preprocess93.0ms (1.1%)

end0.0ms (0%)

Profiling