Metrics for math.cos on complex, real part

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions

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

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

ival-add: 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)

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

sample1.6s (21.3%)

Results

1.3s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-cos: 381.0ms (35.1% of total)

ival-exp: 295.0ms (27.2% of total)

ival-mult: 237.0ms (21.8% of total)

ival-neg: 120.0ms (11% of total)

ival-add: 42.0ms (3.9% of total)

const: 10.0ms (0.9% of total)

backward-pass: 2.0ms (0.2% of total)

Bogosity

preprocess273.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-define`
412×	`fma-neg`
102×	`times-frac`
96×	`associate-r`
87×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	316
1	100	308
2	280	308
3	673	298
4	1117	294
5	1661	294
6	2231	294
7	2749	294
8	2903	294
9	2917	294
10	2917	294
11	2917	294

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs re)

(abs im)

explain108.0ms (1.5%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
0	-	-	`re`
0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0	-	-	`im`
0	-	-	`(cos.f64 re)`
0	-	-	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
0	-	-	`(neg.f64 im)`
1	(3.408239631730465e+120 230.88957632478653)	-	`(exp.f64 (neg.f64 im))`
0	-	-	`(exp.f64 im)`

Results

70.0ms

512×

valid

Compiler

Compiled 85 to 32 computations (62.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 14.0ms (37.1% of total)

ival-cos: 12.0ms (31.8% of total)

ival-exp: 6.0ms (15.9% of total)

ival-add: 3.0ms (7.9% of total)

ival-neg: 2.0ms (5.3% of total)

const: 1.0ms (2.6% of total)

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

eval1.0ms (0%)

Compiler: Compiled 35 to 15 computations (57.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

50×	`fma-define`
26×	`associate-r`
20×	`associate-l`
16×	`*-commutative`
10×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	128
1	33	128
2	79	128
3	132	126
4	165	126
5	200	126
6	232	126
7	243	126
8	245	126
9	250	126
10	250	126

Stop Event

1×

saturated

Calls

Call 1

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

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

localize54.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 im))
✓	accuracy	100.0%	(exp.f64 im)
✓	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

42.0ms

256×

valid

Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions

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

ival-cos: 6.0ms (33.3% of total)

ival-mult: 4.0ms (22.2% of total)

ival-neg: 4.0ms (22.2% of total)

ival-exp: 3.0ms (16.6% of total)

ival-add: 1.0ms (5.5% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Counts

6 → 56

Calls

Call 1

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

Outputs
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))>
#<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 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.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 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) im)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>

Calls

21 calls:

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

rewrite185.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

100×	`associate-r`
90×	`add-exp-log`
90×	`add-log-exp`
90×	`log1p-expm1-u`
90×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	202	85
2	3306	85

Stop Event

1×

unsound

Counts

6 → 72

Calls

Call 1

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

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

simplify147.0ms (2%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-define`
719×	`associate-*r/`
557×	`associate-r`
375×	`distribute-rgt-out`
281×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	3069
1	505	2795
2	1610	2620
3	5037	2588

Stop Event

1×	node limit

Counts

128 → 141

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 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 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.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 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 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 1 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 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 1 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 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 1 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(literal 3 binary64)

Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
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#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
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(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (neg.f64 im))
(-.f64 #s(literal 1 binary64) im)
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(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
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(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
#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))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(cos.f64 re)
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (fabs.f64 (cos.f64 re)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fabs.f64 (cos.f64 re)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (exp.f64 #s(literal -2 binary64)))
(.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) (exp.f64 #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(fma.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) re))))
(+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 re #s(literal -2 binary64)))))
(fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 re #s(literal -2 binary64))) #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64))
(cos.f64 re)
(*.f64 (cos.f64 re) (cos.f64 re))
(pow.f64 (cos.f64 re) #s(literal 2 binary64))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(cos.f64 re)
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(cos.f64 re)
(/.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 1 binary64))
(cos.f64 re)
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(cbrt.f64 (cos.f64 re))
(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 1 binary64) (expm1.f64 (cos.f64 re))))
(cos.f64 re)
(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 1 binary64)))
(cos.f64 re)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(cos.f64 re)
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (fabs.f64 (cos.f64 re)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fabs.f64 (cos.f64 re)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (exp.f64 #s(literal -2 binary64)))
(.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) (exp.f64 #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(fma.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)

eval57.0ms (0.8%)

Compiler: Compiled 2342 to 522 computations (77.7% saved)

prune25.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	137	4	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	4	142

Accuracy

100.0%

Counts

142 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	61.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
▶	66.4%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	47.9%	(cos.f64 re)

Compiler

Compiled 40 to 32 computations (20% saved)

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 (cos.f64 re))
✓	cost-diff	6464	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	cost-diff	12800	(log.f64 (exp.f64 (cos.f64 re)))
✓	cost-diff	12800	(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(+.f64 #s(literal 3 binary64) (exp.f64 im))
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(neg.f64 im)
	cost-diff	0	(exp.f64 (neg.f64 im))
	cost-diff	0	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
	cost-diff	0	(cos.f64 re)

Rules

86×	`fma-define`
40×	`associate-r`
33×	`associate-l`
18×	`*-commutative`
16×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	336
1	63	336
2	142	332
3	214	328
4	252	328
5	309	328
6	352	328
7	365	328
8	371	328
9	383	328
10	383	328

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) #s(literal 3 binary64)))
(.f64 (cos.f64 re) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 #s(literal 3 binary64) (exp.f64 im))
(+.f64 (exp.f64 im) #s(literal 3 binary64))
#s(literal 3 binary64)
(exp.f64 im)
im
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.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))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 (exp.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (cos.f64 re))
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

localize92.0ms (1.3%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	accuracy	99.8%	(exp.f64 (cos.f64 re))
✓	accuracy	99.5%	(log.f64 (exp.f64 (cos.f64 re)))
	accuracy	100.0%	(exp.f64 im)
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
✓	accuracy	100.0%	(+.f64 #s(literal 3 binary64) (exp.f64 im))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	accuracy	100.0%	(neg.f64 im)
	accuracy	100.0%	(exp.f64 (neg.f64 im))
	accuracy	100.0%	(exp.f64 im)
	accuracy	100.0%	(cos.f64 re)

Results

66.0ms

256×

valid

Compiler

Compiled 98 to 18 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 18.0ms (46.1% of total)

ival-cos: 8.0ms (20.5% of total)

ival-exp: 5.0ms (12.8% of total)

ival-add: 3.0ms (7.7% of total)

ival-log: 3.0ms (7.7% of total)

const: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

series139.0ms (1.9%)

Counts

8 → 104

Calls

Call 1

Inputs
#<alt (neg.f64 im)>
#<alt (+.f64 #s(literal 3 binary64) (exp.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))>
#<alt (log.f64 (exp.f64 (cos.f64 re)))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (exp.f64 (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))>

Outputs
#<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 4 binary64)>
#<alt (+.f64 #s(literal 4 binary64) im)>
#<alt (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.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 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (exp.f64 #s(literal 1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -31/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (.f64 #s(literal -1 binary64) im))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (.f64 #s(literal -1 binary64) im))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (.f64 #s(literal -1 binary64) im))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (.f64 #s(literal -1 binary64) im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 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 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 re))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>

Calls

30 calls:

Time	Variable		Point	Expression
125.0ms	re	@	0	(* (* 1/2 (log (exp (cos re)))) (+ (exp (neg im)) (exp im)))
2.0ms	re	@	0	(* (* 1/2 (cos re)) (+ 3 (exp im)))
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ 3 (exp im)))
1.0ms	im	@	inf	(* (* 1/2 (cos re)) (+ 3 (exp im)))
1.0ms	im	@	-inf	(* (* 1/2 (cos re)) (+ 3 (exp im)))

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

157×	`associate-r`
139×	`log1p-expm1-u`
139×	`expm1-log1p-u`
138×	`add-exp-log`
138×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	92
1	321	92
2	5320	92

Stop Event

1×

unsound

Counts

8 → 210

Calls

Call 1

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

Outputs
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 10 binary64)
#s(literal 12 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 28 binary64)
#s(literal 32 binary64)
#s(literal 64 binary64)
#s(literal 80 binary64)
#s(literal 112 binary64)
#s(literal 224 binary64)
#s(literal 512 binary64)
#s(literal 728 binary64)
#s(literal 784 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 10 binary64)
#s(literal 12 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 28 binary64)
#s(literal 32 binary64)
#s(literal 64 binary64)
#s(literal 80 binary64)
#s(literal 112 binary64)
#s(literal 224 binary64)
#s(literal 512 binary64)
#s(literal 728 binary64)
#s(literal 784 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (.f64 #s(literal -28 binary64) (cos.f64 (.f64 #s(literal -28 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal 1/7 binary64))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1/7 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1/7 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1/7 binary64) (cos.f64 re))
(fma.f64 #s(literal 1/7 binary64) (cos.f64 re) (cos.f64 re))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (.f64 #s(literal -28 binary64) (cos.f64 (.f64 #s(literal -28 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1/7 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/7 binary64))
(*.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 #s(literal 1/7 binary64) (cos.f64 re))
(*.f64 #s(literal -28 binary64) (cos.f64 re))
(/.f64 (cos.f64 re) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal 1/7 binary64))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1/7 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1/7 binary64) (cos.f64 re))
(fma.f64 #s(literal 1/7 binary64) (cos.f64 re) (cos.f64 re))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (.f64 #s(literal -28 binary64) (cos.f64 (.f64 #s(literal -28 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal 1/7 binary64))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1/7 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1/7 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1/7 binary64) (cos.f64 re))
(fma.f64 #s(literal 1/7 binary64) (cos.f64 re) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 re)))) #s(literal 1/7 binary64))
(*.f64 #s(literal 1/7 binary64) (exp.f64 (cos.f64 re)))
(*.f64 (exp.f64 (cos.f64 re)) #s(literal 1/7 binary64))
(*.f64 (exp.f64 (cos.f64 re)) (exp.f64 (cos.f64 re)))
(pow.f64 #s(literal 1/7 binary64) (cos.f64 re))
(pow.f64 (exp.f64 #s(literal 1/7 binary64)) (cos.f64 re))
(pow.f64 (exp.f64 (cos.f64 re)) (cos.f64 re))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/7 binary64))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal -28 binary64))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/3 binary64))
(sqrt.f64 (exp.f64 (cos.f64 re)))
(fabs.f64 (exp.f64 (cos.f64 re)))
(log.f64 (exp.f64 (exp.f64 (cos.f64 re))))
(log.f64 (+.f64 #s(literal 1/7 binary64) (expm1.f64 (exp.f64 (cos.f64 re)))))
(cbrt.f64 (exp.f64 (cos.f64 re)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 re))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 10 binary64)
#s(literal 12 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 28 binary64)
#s(literal 32 binary64)
#s(literal 64 binary64)
#s(literal 80 binary64)
#s(literal 112 binary64)
#s(literal 224 binary64)
#s(literal 512 binary64)
#s(literal 728 binary64)
#s(literal 784 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (.f64 #s(literal -28 binary64) (cos.f64 (.f64 #s(literal -28 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal 1/7 binary64))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1/7 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1/7 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1/7 binary64) (cos.f64 re))
(fma.f64 #s(literal 1/7 binary64) (cos.f64 re) (cos.f64 re))

simplify141.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

722×	`associate-r`
536×	`associate-l`
474×	`distribute-lft-in`
462×	`distribute-rgt-in`
394×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	4294972699
1	691	4294972205
2	2180	4294972133
3	6465	4294972133

Stop Event

1×	node limit

Counts

314 → 208

Calls

Call 1

Inputs
(*.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 4 binary64)
(+.f64 #s(literal 4 binary64) im)
(+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 4 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 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.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 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(exp.f64 #s(literal 1 binary64))
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))
(+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -31/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (.f64 #s(literal -1 binary64) im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (.f64 #s(literal -1 binary64) im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (.f64 #s(literal -1 binary64) im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 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 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(+.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 10 binary64)
#s(literal 12 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 28 binary64)
#s(literal 32 binary64)
#s(literal 64 binary64)
#s(literal 80 binary64)
#s(literal 112 binary64)
#s(literal 224 binary64)
#s(literal 512 binary64)
#s(literal 728 binary64)
#s(literal 784 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 10 binary64)
#s(literal 12 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 28 binary64)
#s(literal 32 binary64)
#s(literal 64 binary64)
#s(literal 80 binary64)
#s(literal 112 binary64)
#s(literal 224 binary64)
#s(literal 512 binary64)
#s(literal 728 binary64)
#s(literal 784 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (.f64 #s(literal -28 binary64) (cos.f64 (.f64 #s(literal -28 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal 1/7 binary64))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1/7 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1/7 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1/7 binary64) (cos.f64 re))
(fma.f64 #s(literal 1/7 binary64) (cos.f64 re) (cos.f64 re))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (.f64 #s(literal -28 binary64) (cos.f64 (.f64 #s(literal -28 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1/7 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/7 binary64))
(*.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 #s(literal 1/7 binary64) (cos.f64 re))
(*.f64 #s(literal -28 binary64) (cos.f64 re))
(/.f64 (cos.f64 re) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal 1/7 binary64))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1/7 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1/7 binary64) (cos.f64 re))
(fma.f64 #s(literal 1/7 binary64) (cos.f64 re) (cos.f64 re))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (.f64 #s(literal -28 binary64) (cos.f64 (.f64 #s(literal -28 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal 1/7 binary64))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1/7 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1/7 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1/7 binary64) (cos.f64 re))
(fma.f64 #s(literal 1/7 binary64) (cos.f64 re) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 re)))) #s(literal 1/7 binary64))
(*.f64 #s(literal 1/7 binary64) (exp.f64 (cos.f64 re)))
(*.f64 (exp.f64 (cos.f64 re)) #s(literal 1/7 binary64))
(*.f64 (exp.f64 (cos.f64 re)) (exp.f64 (cos.f64 re)))
(pow.f64 #s(literal 1/7 binary64) (cos.f64 re))
(pow.f64 (exp.f64 #s(literal 1/7 binary64)) (cos.f64 re))
(pow.f64 (exp.f64 (cos.f64 re)) (cos.f64 re))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/7 binary64))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal -28 binary64))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/3 binary64))
(sqrt.f64 (exp.f64 (cos.f64 re)))
(fabs.f64 (exp.f64 (cos.f64 re)))
(log.f64 (exp.f64 (exp.f64 (cos.f64 re))))
(log.f64 (+.f64 #s(literal 1/7 binary64) (expm1.f64 (exp.f64 (cos.f64 re)))))
(cbrt.f64 (exp.f64 (cos.f64 re)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 re))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 10 binary64)
#s(literal 12 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 28 binary64)
#s(literal 32 binary64)
#s(literal 64 binary64)
#s(literal 80 binary64)
#s(literal 112 binary64)
#s(literal 224 binary64)
#s(literal 512 binary64)
#s(literal 728 binary64)
#s(literal 784 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (.f64 #s(literal -28 binary64) (cos.f64 (.f64 #s(literal -28 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal 1/7 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal 1/7 binary64))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1/7 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1/7 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1/7 binary64) (cos.f64 re))
(fma.f64 #s(literal 1/7 binary64) (cos.f64 re) (cos.f64 re))

Outputs
(*.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 4 binary64)
(+.f64 #s(literal 4 binary64) im)
(+.f64 im #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 4 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 4 binary64))
(+.f64 #s(literal 4 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 4 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 4 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64))) #s(literal -1/4 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 -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 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 #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))
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.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 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(+.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.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))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.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))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.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))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.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))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.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))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.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))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
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(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) (cos.f64 #s(literal 0 binary64))) #s(literal -28 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
#s(literal 1 binary64)
(pow.f64 (cos.f64 re) #s(literal 1/7 binary64))
(exp.f64 (*.f64 #s(literal 1/7 binary64) (log.f64 (cos.f64 re))))
(pow.f64 (exp.f64 #s(literal 1/7 binary64)) (log.f64 (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(cbrt.f64 (cos.f64 re))
(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 1/7 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(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 1/7 binary64)))
(exp.f64 (*.f64 #s(literal 1/7 binary64) (log.f64 (cos.f64 re))))
(pow.f64 (exp.f64 #s(literal 1/7 binary64)) (log.f64 (cos.f64 re)))
(exp.f64 (+.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(*.f64 (cos.f64 re) (exp.f64 #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1/7 binary64) (cos.f64 re))
(*.f64 #s(literal 8/7 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 8/7 binary64))
(fma.f64 #s(literal 1/7 binary64) (cos.f64 re) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal 1/7 binary64) (cos.f64 re))
(*.f64 #s(literal 8/7 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 8/7 binary64))

eval61.0ms (0.8%)

Compiler: Compiled 6487 to 1257 computations (80.6% saved)

prune77.0ms (1%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	441	13	454
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	442	16	458

Accuracy

100.0%

Counts

458 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.8%	(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
	29.3%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
▶	61.9%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	11.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
	38.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
▶	33.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
✓	61.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	10.5%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	44.2%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	45.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 im)))
✓	66.4%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	8.6%	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
	7.3%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
	3.8%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
✓	47.9%	(cos.f64 re)
▶	26.9%	#s(literal 1 binary64)

Compiler

Compiled 281 to 228 computations (18.9% saved)

simplify42.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
✓	cost-diff	0	(*.f64 im #s(literal 1/2 binary64))
	cost-diff	0	(cos.f64 re)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓	cost-diff	-6272	(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
	cost-diff	0	(exp.f64 (cos.f64 re))
✓	cost-diff	6528	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	cost-diff	12800	(log.f64 (exp.f64 (cos.f64 re)))
	cost-diff	12800	(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))

Rules

497×	`fma-define`
164×	`associate-r`
120×	`associate-l`
99×	`distribute-lft-in`
83×	`distribute-rgt-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	30	320
1	75	296
2	179	292
3	404	292
4	831	290
5	1176	286
6	1265	286
7	1297	286
8	1303	286

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))
#s(literal 1/2 binary64)
(log.f64 (exp.f64 (cos.f64 re)))
(exp.f64 (cos.f64 re))
(cos.f64 re)
re
(+.f64 #s(literal 3 binary64) (exp.f64 im))
#s(literal 3 binary64)
(exp.f64 im)
im
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
#s(literal 1/2 binary64)
(exp.f64 im)
im
#s(literal 3/2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))
#s(literal 4 binary64)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
im
(+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 im #s(literal 1/2 binary64))

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(log.f64 (exp.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (cos.f64 re))
(cos.f64 re)
re
(+.f64 #s(literal 3 binary64) (exp.f64 im))
#s(literal 3 binary64)
(exp.f64 im)
im
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
#s(literal 3/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
#s(literal 1/2 binary64)
(exp.f64 im)
im
#s(literal 3/2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))
(.f64 (cos.f64 re) (fma.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64)))))
(+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))
im
(+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 im #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)

localize159.0ms (2.1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
	accuracy	100.0%	(cos.f64 re)
✓	accuracy	100.0%	(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
	accuracy	100.0%	(exp.f64 im)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	accuracy	100.0%	(+.f64 #s(literal 3 binary64) (exp.f64 im))
	accuracy	99.8%	(exp.f64 (cos.f64 re))
	accuracy	99.5%	(log.f64 (exp.f64 (cos.f64 re)))

Results

68.0ms

256×

valid

Compiler

Compiled 109 to 24 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 14.0ms (41% of total)

ival-add: 6.0ms (17.6% of total)

ival-cos: 6.0ms (17.6% of total)

ival-exp: 4.0ms (11.7% of total)

ival-log: 3.0ms (8.8% of total)

const: 1.0ms (2.9% of total)

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

series17.0ms (0.2%)

Counts

7 → 88

Calls

Call 1

Inputs
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))>
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (exp.f64 im))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))>
#<alt (*.f64 im #s(literal 1/2 binary64))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 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 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 re))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))>
#<alt (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) 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 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 re))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re))) im)) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) im)) (.f64 #s(literal -1/2 binary64) (cos.f64 re))) im)) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))))>

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	re	@	-inf	(* (* 1/2 (cos re)) (+ 4 (* im (+ 1 (* im 1/2)))))
2.0ms	im	@	inf	(* im (+ 1 (* im 1/2)))
1.0ms	re	@	inf	(* (* 1/2 (cos re)) (+ 4 (* im (+ 1 (* im 1/2)))))
1.0ms	re	@	0	(* (* 1/2 (cos re)) (+ 4 (* im (+ 1 (* im 1/2)))))
1.0ms	im	@	inf	(* (* 1/2 (cos re)) (+ 4 (* im (+ 1 (* im 1/2)))))

rewrite175.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1159×	`log1p-expm1-u`
527×	`expm1-log1p-u`
189×	`associate-r`
169×	`add-exp-log`
169×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	149
1	398	137
2	5373	137

Stop Event

1×	node limit

Counts

7 → 139

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(*.f64 im #s(literal 1/2 binary64))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))

Outputs
(+.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (cos.f64 re) #s(literal 3/2 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) (.f64 (cos.f64 re) #s(literal 3/2 binary64))) (-.f64 (.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) (.f64 (cos.f64 re) #s(literal 3/2 binary64))) (.f64 (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (-.f64 (.f64 (cos.f64 re) #s(literal 3/2 binary64)) (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 27 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 (exp.f64 im) (-.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 #s(literal 3 binary64) (exp.f64 im)))
(/.f64 (.f64 (+.f64 #s(literal 27 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 #s(literal 9 binary64) (*.f64 (exp.f64 im) (-.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 3 binary64) (exp.f64 im)))
(pow.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(exp.f64 (log.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64) (.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
#s(literal 3/4 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(exp.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 im (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64))) (/.f64 #s(literal 9/4 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 27/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 9/4 binary64) (.f64 (exp.f64 im) #s(literal 3/4 binary64))))))
(.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 9/4 binary64) (.f64 (exp.f64 im) #s(literal 3/4 binary64)))) (+.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 27/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) (+.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -9/4 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 27/8 binary64)) (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 9/4 binary64) (*.f64 (exp.f64 im) #s(literal 3/4 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 27/8 binary64)) (+.f64 #s(literal 9/4 binary64) (-.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (exp.f64 im) #s(literal 3/4 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -9/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 27/8 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 9/4 binary64) (*.f64 (exp.f64 im) #s(literal 3/4 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -9/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64))))
(/.f64 (-.f64 #s(literal 9/4 binary64) (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3/2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3/2 binary64))
(-.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) im))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) im)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) im)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64)))
(+.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 im (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) im)
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 im (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 im (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #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 1/4 binary64)) (.f64 #s(literal -1/2 binary64) im))))
(/.f64 (.f64 im (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) im)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/8 binary64))) im) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal -1/2 binary64) im))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64))) im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) im)))
(pow.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) im (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))) (.f64 (cos.f64 re) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))))) (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))))) (-.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) (-.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) (-.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 4 binary64) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))))

simplify143.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

457×	`times-frac`
395×	`associate-+r+`
373×	`cancel-sign-sub-inv`
371×	`associate-r`
345×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	8507
1	1241	7716
2	4516	7059

Stop Event

1×	node limit

Counts

227 → 262

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))))))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 (*.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64)))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (+.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64)))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 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 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))))))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/48 binary64) (exp.f64 im))))))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (.f64 (.f64 (+.f64 #s(literal 3 binary64) (exp.f64 im)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))) (pow.f64 re #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (.f64 im (cos.f64 re)) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 im (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/12 binary64) (.f64 im (cos.f64 re)) (.f64 (cos.f64 re) #s(literal 1/4 binary64)))))))
(+.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))) (.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) (cos.f64 re))
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(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) (-.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 im (*.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal -4 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 im (.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal -4 binary64))) #s(literal 16 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 4 binary64) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))))))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 im (fma.f64 #s(literal 1/4 binary64) (.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))

eval213.0ms (2.9%)

Compiler: Compiled 8237 to 1678 computations (79.6% saved)

prune93.0ms (1.3%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	485	7	492
Fresh	0	8	8
Picked	2	3	5
Done	0	3	3
Total	487	21	508

Accuracy

100.0%

Counts

508 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.8%	(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
▶	28.7%	(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
	24.9%	(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
	8.7%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
▶	29.3%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	29.2%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
	32.1%	(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
✓	61.9%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	11.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
	38.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
✓	61.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	10.5%	(*.f64 #s(literal 2 binary64) (cos.f64 re))
	44.2%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
▶	45.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 im)))
✓	66.4%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	7.3%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
	3.8%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
✓	47.9%	(cos.f64 re)
	7.9%	#s(literal 2 binary64)
✓	26.9%	#s(literal 1 binary64)
▶	8.6%	#s(literal 3/4 binary64)

Compiler

Compiled 363 to 295 computations (18.7% saved)

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(pow.f64 re #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	-12544	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))
✓	cost-diff	-6272	(+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))
✓	cost-diff	-6272	(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))
✓	cost-diff	0	(*.f64 im #s(literal 1/12 binary64))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))
✓	cost-diff	-6272	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im)))
	cost-diff	0	(exp.f64 im)
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) im)

Rules

808×	`fma-neg`
651×	`sub-neg`
544×	`fma-define`
424×	`associate-+l-`
412×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	522
1	86	442
2	210	442
3	418	438
4	904	438
5	2015	438
6	2623	438
7	3901	438
8	6869	438

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 im)))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 im (fma.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/6 binary64))) #s(literal -1 binary64))) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #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)) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (+.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 im))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 im (fma.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64))) #s(literal -1 binary64))) (exp.f64 im)))
(+.f64 #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)) (exp.f64 im)))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 im)))
(+.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))
#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 im (fma.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 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 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))
(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 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64))))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/6 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)
(exp.f64 im)
#s(literal 3/4 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1/4 binary64)
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
im
(+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))
(fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 im #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
#s(literal -1/2 binary64)

localize138.0ms (1.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 re #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))
✓	accuracy	99.5%	(*.f64 im #s(literal 1/12 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
✓	accuracy	99.9%	(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) im)))
✓	accuracy	99.9%	(.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))
✓	accuracy	99.5%	(*.f64 #s(literal -1/6 binary64) im)
✓	accuracy	77.3%	(+.f64 (+.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 im))

Results

82.0ms

256×

valid

Compiler

Compiled 169 to 30 computations (82.2% saved)

Precisions

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

ival-mult: 15.0ms (36.8% of total)

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

...c/correct-round.rkt:121:19: 9.0ms (22.1% of total)

ival-pow: 3.0ms (7.4% of total)

ival-exp: 2.0ms (4.9% of total)

ival-sub: 1.0ms (2.5% of total)

const: 1.0ms (2.5% of total)

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

series21.0ms (0.3%)

Counts

13 → 112

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	im	@	0	(* im (+ 1/4 (* im 1/12)))
1.0ms	im	@	inf	(* im (+ 1/4 (* im 1/12)))
1.0ms	im	@	inf	(+ (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (exp im))
0.0ms	im	@	-inf	(* im (+ 1/2 (* -1/6 im)))
0.0ms	im	@	-inf	(* im (+ 1/4 (* im 1/12)))

rewrite240.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

711×	`log1p-expm1-u`
219×	`expm1-log1p-u`
212×	`add-exp-log`
212×	`add-log-exp`
211×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	282
1	472	242
2	7072	242

Stop Event

1×	node limit

Counts

13 → 290

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) im)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) im)) #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 im) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) im))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) im)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) im)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) im)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/6 binary64) im)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 1/2 binary64)))
(+.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 im #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 im #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) (.f64 #s(literal -1/12 binary64) im)))
(/.f64 (.f64 im (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64)) im) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) (.f64 #s(literal -1/12 binary64) im)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) im) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))
(pow.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) (.f64 #s(literal -1/12 binary64) im))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) (.f64 #s(literal -1/12 binary64) im)) (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) (*.f64 #s(literal -1/12 binary64) im)))
(/.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 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 #s(literal -1/12 binary64) im))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) (*.f64 #s(literal -1/12 binary64) im))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) im))))
(/.f64 (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 1 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))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/6 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -1/6 binary64) im)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/6 binary64) im)) (sqrt.f64 (.f64 #s(literal -1/6 binary64) im)) #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/12 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 1/4 binary64)))
(+.f64 (.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 im #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 im #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 im #s(literal 1/4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))
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(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #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 #s(literal -1/6 binary64) im #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 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))

simplify240.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

529×	`fma-neg`
419×	`times-frac`
345×	`associate-r`
321×	`associate-l`
294×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	730	12918
1	1689	12358
2	5398	12262

Stop Event

1×	node limit

Counts

402 → 438

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/6 binary64) im)
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 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 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/4 binary64) im)
(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))
(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))
(.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) im)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(literal 1/4 binary64)
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))
(*.f64 #s(literal 1/12 binary64) im)
(.f64 im (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 im (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 im (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/12 binary64) im)
(.f64 im (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 im (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 im (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/2 binary64) im)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) im)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) im)) #s(literal 1/12 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) im)) #s(literal 1/12 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
#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 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/120 binary64) im))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 (exp.f64 im) (pow.f64 im #s(literal 3 binary64))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.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)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) im))) im)))))
(*.f64 #s(literal -1 binary64) im)
(.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(.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)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) im)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) im)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) im)) #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 im) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) im))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) im)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) im)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) im)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/6 binary64) im)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 1/2 binary64)))
(+.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 im #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (.f64 im #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 im #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (.f64 im (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) (.f64 #s(literal -1/12 binary64) im)))
(/.f64 (.f64 im (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64)) im) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) (.f64 #s(literal -1/12 binary64) im)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) im) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))
(pow.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))))
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(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 im)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 im)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 im) (-.f64 (exp.f64 im) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 im))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))) (-.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 im) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im)))))
(exp.f64 (log1p.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 im)) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 im))
(fma.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)) (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 im))
(+.f64 (.f64 im (.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)))) (*.f64 im #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) im) (*.f64 #s(literal -1 binary64) im))
(-.f64 (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 im (+.f64 (pow.f64 (.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 im (+.f64 (pow.f64 (.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 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)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) im) (+.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) im) (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #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 #s(literal -1/6 binary64) im #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 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))

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

eval62.0ms (0.8%)

Compiler: Compiled 8876 to 2222 computations (75% saved)

prune70.0ms (0.9%)

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	437	7	444
Fresh	4	6	10
Picked	2	3	5
Done	0	6	6
Total	443	22	465

Accuracy

100.0%

Counts

465 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.8%	(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
✓	28.7%	(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
	24.9%	(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
	8.7%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
	29.3%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
	32.2%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (pow.f64 re #s(literal 4 binary64))) #s(literal -1/2 binary64)))
	29.2%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
✓	61.9%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
✓	61.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
	44.2%	(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
	26.3%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
	27.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
	33.3%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.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) im)))
✓	45.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 im)))
✓	66.4%	(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	9.1%	(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
	3.8%	(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
✓	47.9%	(cos.f64 re)
	7.9%	#s(literal 2 binary64)
✓	26.9%	#s(literal 1 binary64)
✓	8.6%	#s(literal 3/4 binary64)
	7.3%	#s(literal 1/8 binary64)

Compiler

Compiled 553 to 294 computations (46.8% saved)

regimes190.0ms (2.6%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

140.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
12.0ms	re
10.0ms	im
9.0ms	(cos.f64 re)
8.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
100.0%	1	`(cos.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes70.0ms (0.9%)

Counts

29 → 2

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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) im)))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (pow.f64 re #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))

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

Calls

5 calls:

34.0ms	im
9.0ms	re
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	(cos.f64 re)
7.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
83.2%	3	`re`
99.4%	2	`im`
83.0%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
83.0%	3	`(cos.f64 re)`
99.4%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes19.0ms (0.3%)

Counts

28 → 3

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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) im)))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (pow.f64 re #s(literal 4 binary64))) #s(literal -1/2 binary64)))

Outputs

(cos.f64 re)

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))

Calls

2 calls:

9.0ms	im
8.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
94.5%	3	`im`
87.1%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Counts

26 → 3

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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) im)))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))

Outputs

(cos.f64 re)

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))

Calls

1 calls:

8.0ms

im

Results

Accuracy	Segments	Branch
94.2%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes72.0ms (1%)

Counts

25 → 3

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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) im)))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 im)))

Outputs

(cos.f64 re)

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

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

Calls

1 calls:

8.0ms

im

Results

Accuracy	Segments	Branch
92.4%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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) im)))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))

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

Calls

1 calls:

7.0ms

im

Results

Accuracy	Segments	Branch
86.5%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.3%)

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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) im)))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.1%	2	`(cos.f64 re)`
61.7%	2	`re`
68.4%	2	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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) im)))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))

Outputs

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

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

Calls

2 calls:

5.0ms	im
5.0ms	re

Results

Accuracy	Segments	Branch
35.6%	2	`re`
48.0%	2	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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) im)))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))

Outputs

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

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

Calls

1 calls:

5.0ms

im

Results

Accuracy	Segments	Branch
47.9%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes139.0ms (1.9%)

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.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) im)))

Outputs

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

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

Calls

1 calls:

138.0ms

im

Results

Accuracy	Segments	Branch
47.7%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))

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

Calls

1 calls:

4.0ms

im

Results

Accuracy	Segments	Branch
47.7%	2	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))

Outputs

#s(literal 1 binary64)

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

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

Calls

1 calls:

4.0ms

im

Results

Accuracy	Segments	Branch
45.5%	3	`im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))

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

Calls

2 calls:

4.0ms	im
4.0ms	re

Results

Accuracy	Segments	Branch
29.3%	1	`re`
31.5%	2	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))

Outputs
#s(literal 1 binary64)

Calls

2 calls:

3.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
26.9%	1	`re`
26.9%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1/8 binary64)
#s(literal 3/4 binary64)

Outputs
#s(literal 3/4 binary64)

Calls

2 calls:

2.0ms	re
2.0ms	im

Results

Accuracy	Segments	Branch
8.6%	1	`im`
8.6%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/8 binary64)

Outputs
#s(literal 1/8 binary64)

Calls

2 calls:

1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
7.3%	1	`re`
7.3%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0009658625477114	1.87961510666048e+100

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch59.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	1.7611156844326564e+99	1.0411447771890831e+108
16.0ms	6.820816672031446e-12	3.7017726100430713e-9

Results

24.0ms

272×

valid

Compiler

Compiled 434 to 343 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cos: 6.0ms (36.5% of total)

ival-mult: 4.0ms (24.3% of total)

ival-exp: 3.0ms (18.2% of total)

ival-add: 1.0ms (6.1% of total)

ival-neg: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

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

bsearch62.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	1.7611156844326564e+99	1.0411447771890831e+108
16.0ms	6.820816672031446e-12	3.7017726100430713e-9

Results

49.0ms

272×

valid

Compiler

Compiled 604 to 445 computations (26.3% saved)

Precisions

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

ival-cos: 6.0ms (36% of total)

ival-mult: 4.0ms (24% of total)

ival-exp: 3.0ms (18% of total)

ival-add: 1.0ms (6% of total)

ival-neg: 1.0ms (6% of total)

const: 0.0ms (0% of total)

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

bsearch102.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.4027249341765846e+153	7.771336750871988e+156
84.0ms	230.88957632478653	3275.4825708109984

Results

20.0ms

224×

valid

Compiler

Compiled 310 to 254 computations (18.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 5.0ms (36.6% of total)

ival-exp: 3.0ms (21.9% of total)

ival-mult: 3.0ms (21.9% of total)

ival-add: 1.0ms (7.3% of total)

ival-neg: 1.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

bsearch163.0ms (2.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
162.0ms	230.88957632478653	3275.4825708109984

Results

158.0ms

96×

valid

Compiler

Compiled 102 to 86 computations (15.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-exp: 150.0ms (96.6% of total)

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

ival-add: 1.0ms (0.6% of total)

ival-mult: 1.0ms (0.6% of total)

const: 0.0ms (0% of total)

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

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

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.614826130675052e+24	5.213450397256142e+25

Results

8.0ms

96×

valid

Compiler

Compiled 144 to 116 computations (19.4% saved)

Precisions

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

ival-cos: 2.0ms (37.2% of total)

ival-exp: 1.0ms (18.6% of total)

ival-mult: 1.0ms (18.6% of total)

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

const: 0.0ms (0% of total)

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

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

bsearch150.0ms (2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
149.0ms	230.88957632478653	3275.4825708109984

Results

145.0ms

96×

valid

Compiler

Compiled 306 to 218 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-cos: 139.0ms (97.5% of total)

ival-exp: 2.0ms (1.4% of total)

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

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

const: 0.0ms (0% of total)

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

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

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	230.88957632478653	3275.4825708109984

Results

9.0ms

96×

valid

Compiler

Compiled 282 to 200 computations (29.1% saved)

Precisions

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

ival-exp: 2.0ms (33.1% of total)

ival-cos: 2.0ms (33.1% of total)

ival-add: 1.0ms (16.5% of total)

ival-mult: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

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

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	230.88957632478653	3275.4825708109984

Results

12.0ms

96×

valid

Compiler

Compiled 246 to 182 computations (26% saved)

Precisions

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

ival-exp: 5.0ms (53.1% of total)

ival-cos: 2.0ms (21.2% of total)

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

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

const: 0.0ms (0% of total)

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

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

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	230.88957632478653	3275.4825708109984

Results

9.0ms

96×

valid

Compiler

Compiled 138 to 116 computations (15.9% saved)

Precisions

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

ival-exp: 2.0ms (31.9% of total)

ival-cos: 2.0ms (31.9% of total)

ival-mult: 1.0ms (16% of total)

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

const: 0.0ms (0% of total)

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

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

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.0331171236024e+139	5.1655172014057645e+141
13.0ms	756909.7199422568	5399889.253555926

Results

20.0ms

224×

valid

Compiler

Compiled 278 to 230 computations (17.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 5.0ms (36.6% of total)

ival-exp: 3.0ms (21.9% of total)

ival-mult: 3.0ms (21.9% of total)

ival-add: 1.0ms (7.3% of total)

ival-neg: 1.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	756909.7199422568	5399889.253555926

Results

10.0ms

96×

valid

Compiler

Compiled 102 to 86 computations (15.7% saved)

Precisions

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

ival-exp: 2.0ms (31.8% of total)

ival-cos: 2.0ms (31.8% of total)

ival-mult: 1.0ms (15.9% of total)

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

const: 0.0ms (0% of total)

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

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

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

29×	`*-commutative`
27×	`+-commutative`
5×	`neg-mul-1`
4×	`unsub-neg`
3×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	1229
1	175	1229
2	180	1229
3	186	1229
4	193	1229
5	202	1229

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 279564095785883/75557863725914323419136 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 279564095785883/75557863725914323419136 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.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 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 235 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)))
(if (<=.f64 im #s(literal 11999999999999999798673408 binary64)) (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.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) im))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 2000000 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 1100000000000000001750808361032491541386117805291478793986501254741998304786929440829300302902310171042505512397559867061770314396418009202688 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))))
(if (<=.f64 im #s(literal 760000 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))))
#s(literal 1 binary64)
#s(literal 3/4 binary64)
#s(literal 1/8 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (cos.f64 re) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) #s(literal 3 binary64))))
(if (<=.f64 im #s(literal 279564095785883/75557863725914323419136 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 279564095785883/75557863725914323419136 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.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 im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 279564095785883/75557863725914323419136 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 279564095785883/75557863725914323419136 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 235 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(if (<=.f64 im #s(literal 235 binary64)) (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)))
(if (<=.f64 im #s(literal 11999999999999999798673408 binary64)) (cos.f64 re) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 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 im #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 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 im #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #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 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #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 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.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) im))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) (+.f64 im #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))) (+.f64 im #s(literal 1 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 235 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 2000000 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 1100000000000000001750808361032491541386117805291478793986501254741998304786929440829300302902310171042505512397559867061770314396418009202688 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 im #s(literal 1/4 binary64)))))))
(if (<=.f64 im #s(literal 760000 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))))
#s(literal 1 binary64)
#s(literal 3/4 binary64)
#s(literal 1/8 binary64)

soundness1.1s (14.8%)

Rules

1159×	`log1p-expm1-u`
722×	`associate-r`
719×	`fma-define`
719×	`associate-*r/`
711×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	282
1	472	242
2	7072	242
0	449	8507
1	1241	7716
2	4516	7059
0	197	3069
1	505	2795
2	1610	2620
3	5037	2588
0	30	149
1	398	137
2	5373	137
0	267	4294972699
1	691	4294972205
2	2180	4294972133
3	6465	4294972133
0	16	85
1	202	85
2	3306	85

Stop Event

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

Compiler

Compiled 606 to 248 computations (59.1% saved)

preprocess275.0ms (3.7%)

Remove

(abs im)

(abs re)

Compiler

Compiled 898 to 346 computations (61.5% saved)

Iter	Nodes	Cost
0	16	128
1	33	128
2	79	128
3	132	126
4	165	126
5	200	126
6	232	126
7	243	126
8	245	126
9	250	126
10	250	126

Iter	Nodes	Cost
0	23	336
1	63	336
2	142	332
3	214	328
4	252	328
5	309	328
6	352	328
7	365	328
8	371	328
9	383	328
10	383	328

Iter	Nodes	Cost
0	16	128
1	33	128
2	79	128
3	132	126
4	165	126
5	200	126
6	232	126
7	243	126
8	245	126
9	250	126
10	250	126

Iter	Nodes	Cost
0	23	336
1	63	336
2	142	332
3	214	328
4	252	328
5	309	328
6	352	328
7	365	328
8	371	328
9	383	328
10	383	328

analyze0.0ms (0%)

sample1.6s (21.3%)

preprocess273.0ms (3.7%)

explain108.0ms (1.5%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.3%)

localize54.0ms (0.7%)

series13.0ms (0.2%)

rewrite185.0ms (2.5%)

simplify147.0ms (2%)

eval57.0ms (0.8%)

prune25.0ms (0.3%)

simplify31.0ms (0.4%)

localize92.0ms (1.3%)

series139.0ms (1.9%)

rewrite46.0ms (0.6%)

simplify141.0ms (1.9%)

eval61.0ms (0.8%)

prune77.0ms (1%)

simplify42.0ms (0.6%)

localize159.0ms (2.1%)

series17.0ms (0.2%)

rewrite175.0ms (2.4%)

simplify143.0ms (1.9%)

eval213.0ms (2.9%)

prune93.0ms (1.3%)

simplify98.0ms (1.3%)

localize138.0ms (1.9%)

series21.0ms (0.3%)

rewrite240.0ms (3.2%)

simplify240.0ms (3.2%)

eval62.0ms (0.8%)

prune70.0ms (0.9%)

regimes190.0ms (2.6%)

regimes70.0ms (0.9%)

regimes19.0ms (0.3%)

regimes10.0ms (0.1%)

regimes72.0ms (1%)

regimes8.0ms (0.1%)

regimes20.0ms (0.3%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes139.0ms (1.9%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes22.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch59.0ms (0.8%)

bsearch62.0ms (0.8%)

bsearch102.0ms (1.4%)

bsearch163.0ms (2.2%)

bsearch13.0ms (0.2%)

bsearch150.0ms (2%)

bsearch14.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch20.0ms (0.3%)

bsearch32.0ms (0.4%)

bsearch14.0ms (0.2%)

simplify21.0ms (0.3%)

soundness1.1s (14.8%)

preprocess275.0ms (3.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	128
1	33	128
2	79	128
3	132	126
4	165	126
5	200	126
6	232	126
7	243	126
8	245	126
9	250	126
10	250	126

Iter	Nodes	Cost
0	23	336
1	63	336
2	142	332
3	214	328
4	252	328
5	309	328
6	352	328
7	365	328
8	371	328
9	383	328
10	383	328