Metrics for cos2 (problem 3.4.1)

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

const: 0.0ms (0% of total)

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

sample2.0s (19.8%)

Results

1.1s	2067×	2	valid
337.0ms	4119×	0	valid
325.0ms	2070×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-cos: 871.0ms (59.2% of total)

backward-pass: 290.0ms (19.7% of total)

ival-mult: 102.0ms (6.9% of total)

ival-div: 97.0ms (6.6% of total)

ival-sub: 96.0ms (6.5% of total)

const: 15.0ms (1% of total)

Bogosity

preprocess83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

387×	`fma-define`
161×	`times-frac`
137×	`fma-neg`
100×	`div-sub`
90×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	132
1	46	132
2	118	128
3	313	128
4	812	128
5	1454	128
6	1846	128
7	1878	128

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))

Symmetry

(abs x)

explain156.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
72	-	0	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
64	-	1	(1.0051831777744184e-156)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(cos.f64 x)`

Results

71.0ms	120×	2	valid
30.0ms	258×	0	valid
29.0ms	134×	1	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-cos: 75.0ms (76.1% of total)

ival-div: 6.0ms (6.1% of total)

backward-pass: 6.0ms (6.1% of total)

ival-mult: 6.0ms (6.1% of total)

ival-sub: 5.0ms (5.1% of total)

const: 1.0ms (1% of total)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(cos.f64 x)
✓	cost-diff	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Rules

508×	`fma-define`
251×	`fma-neg`
142×	`times-frac`
69×	`div-sub`
63×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	72
1	23	72
2	34	72
3	52	72
4	90	72
5	146	72
6	215	72
7	378	72
8	779	72
9	1395	72
10	1907	72
11	1911	72

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)

localize68.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	76.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	accuracy	75.2%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

30.0ms	60×	2	valid
13.0ms	67×	1	valid
12.0ms	129×	0	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-cos: 28.0ms (67.2% of total)

ival-div: 4.0ms (9.6% of total)

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

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

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

const: 1.0ms (2.4% of total)

series5.0ms (0.1%)

Counts

4 → 32

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (*.f64 x x)>

Outputs
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (- 1 (cos x)) (* x x))
1.0ms	x	@	0	(/ (- 1 (cos x)) (* x x))
1.0ms	x	@	inf	(* x x)
0.0ms	x	@	-inf	(/ (- 1 (cos x)) (* x x))
0.0ms	x	@	0	(cos x)

rewrite234.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`log1p-expm1-u`
691×	`expm1-log1p-u`
575×	`unpow-prod-down`
329×	`log-prod`
265×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	132	61
2	1817	61

Stop Event

1×	node limit

Counts

4 → 262

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 x x)

Outputs
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x) (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (cos.f64 x)) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) x)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) x) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x))))
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(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cbrt.f64 (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))

simplify259.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

454×	`fma-neg`
403×	`distribute-lft-neg-in`
348×	`unswap-sqr`
321×	`associate-r`
321×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	730	4294982666
1	1551	4294981201
2	4927	4294976742

Stop Event

1×	node limit

Counts

294 → 388

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x) (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))))
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(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))

Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #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 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x) (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))))
(+.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (cos.f64 x)) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (cos.f64 x)))))
(+.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
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(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
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(cos.f64 x)
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(cos.f64 x)
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(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
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(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
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(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
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eval47.0ms (0.5%)

Compiler: Compiled 7875 to 1254 computations (84.1% saved)

prune122.0ms (1.2%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	369	19	388
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	369	20	389

Accuracy

100.0%

Counts

389 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.9%	(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 6 binary64)) #s(literal 1/3 binary64))
	51.4%	(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))
	51.8%	(pow.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -2 binary64))
	50.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))
▶	34.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)))
	50.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
▶	50.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	29.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	50.6%	(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x))
	50.7%	(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
	51.1%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
	50.7%	(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
	51.1%	(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
	50.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
▶	51.1%	(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
▶	51.9%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
	40.9%	(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) #s(literal 2 binary64)))
	38.7%	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 5 binary64))))
▶	51.7%	#s(literal 1/2 binary64)

Compiler

Compiled 461 to 320 computations (30.6% saved)

simplify118.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(cos.f64 x)
	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	64	(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	64	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)))
✓	cost-diff	0	(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
	cost-diff	0	(cos.f64 x)
	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
	cost-diff	0	(cos.f64 x)
	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(pow.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	cost-diff	0	(cos.f64 x)
	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	cost-diff	128	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))

Rules

696×	`fma-define`
414×	`fma-neg`
178×	`times-frac`
149×	`distribute-lft-in`
106×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	335
1	46	329
2	71	329
3	145	329
4	374	329
5	697	329
6	1281	329
7	1995	329
8	2552	329
9	2990	329
10	3200	329
11	3205	329
12	3205	329

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(cbrt.f64 x)
#s(literal 6 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 1/3 binary64)

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(cbrt.f64 x)
#s(literal 6 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 6 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 1/3 binary64)

localize240.0ms (2.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	76.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)))
	accuracy	75.2%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	66.8%	(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.1%	(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
✓	accuracy	99.1%	(cbrt.f64 x)
✓	accuracy	76.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
	accuracy	75.2%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(pow.f64 x #s(literal -2 binary64))
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	76.3%	(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	accuracy	75.2%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.4%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	77.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
	accuracy	75.2%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

112.0ms	59×	2	valid
46.0ms	130×	0	valid
39.0ms	66×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 102 to 20 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-pow: 80.0ms (53.5% of total)

ival-cos: 31.0ms (20.7% of total)

ival-div: 12.0ms (8% of total)

backward-pass: 8.0ms (5.3% of total)

...c/correct-round.rkt:119:19: 6.0ms (4% of total)

ival-mult: 5.0ms (3.3% of total)

ival-sub: 3.0ms (2% of total)

ival-cbrt: 3.0ms (2% of total)

const: 1.0ms (0.7% of total)

series18.0ms (0.2%)

Counts

9 → 92

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)>
#<alt (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (pow.f64 x #s(literal -2 binary64))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))>
#<alt (pow.f64 (cbrt.f64 x) #s(literal 6 binary64))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)))>
#<alt (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))>
#<alt (cbrt.f64 x)>

Outputs
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ (- 1 (cos x)) (pow (cbrt x) 6))
2.0ms	x	@	inf	(cbrt x)
2.0ms	x	@	0	(pow (pow x 6) 1/3)
1.0ms	x	@	0	(cbrt x)
1.0ms	x	@	-inf	(/ (- 1 (cos x)) x)

rewrite732.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`prod-diff`
798×	`log1p-expm1-u`
370×	`expm1-log1p-u`
137×	`pow1`
128×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	197
1	347	177
2	4570	177

Stop Event

1×	node limit

Counts

9 → 1151

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 x)

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

simplify1.1s (10.9%)

Algorithm

1×	egg-herbie

Rules

349×	`associate-+r+`
349×	`associate-+l+`
343×	`associate-r`
330×	`associate-l`
328×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1159	120596
1	2765	88170

Stop Event

1×	node limit

Counts

1243 → 723

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
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#s(literal 1/2 binary64)
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#s(literal 1/2 binary64)
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#s(literal 1/2 binary64)
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(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (cbrt.f64 x) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 1 binary64)))

Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
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(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))
(cbrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 x)
(sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 1 binary64)))
(cbrt.f64 x)

eval162.0ms (1.6%)

Compiler: Compiled 34262 to 3116 computations (90.9% saved)

prune230.0ms (2.3%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	1343	12	1355
Fresh	8	6	14
Picked	2	3	5
Done	0	1	1
Total	1353	22	1375

Accuracy

100.0%

Counts

1375 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 2 binary64))
▶	51.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	34.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)))
	51.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	48.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(literal 6 binary64)))
✓	50.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	29.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
▶	50.7%	(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
▶	51.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
	51.1%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
	50.7%	(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
	51.1%	(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
	50.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
	51.8%	(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	51.5%	(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
	51.5%	(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x))
	51.1%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	51.9%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
	51.8%	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
▶	51.2%	(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	51.7%	#s(literal 1/2 binary64)

Compiler

Compiled 478 to 321 computations (32.8% saved)

simplify228.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	cost-diff	0	(cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64))
✓	cost-diff	12992	(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(neg.f64 (cos.f64 x))
✓	cost-diff	0	(log1p.f64 (neg.f64 (cos.f64 x)))
✓	cost-diff	12736	(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
✓	cost-diff	12736	(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	cost-diff	0	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	384	(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
	cost-diff	0	(cos.f64 x)
	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Rules

1261×	`fma-define`
475×	`fma-neg`
417×	`div-sub`
392×	`times-frac`
214×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	513
1	57	465
2	115	465
3	188	465
4	481	465
5	1020	465
6	1660	465
7	2284	465
8	2711	465
9	4042	465
10	5498	465
11	5749	465
12	5881	465
13	5969	465
14	5969	465
15	5969	465
16	5969	465

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
#s(literal 1 binary64)
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
x
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (neg.f64 (cos.f64 x)))
(neg.f64 (cos.f64 x))
(cos.f64 x)
x
(*.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64))
(cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) x)

Outputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) x)))
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
#s(literal 1 binary64)
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(log1p.f64 (neg.f64 (cos.f64 x)))
(neg.f64 (cos.f64 x))
(cos.f64 x)
x
(*.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) x)

localize267.0ms (2.6%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
✓	accuracy	98.9%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64))
	accuracy	77.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
	accuracy	75.2%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	97.4%	(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
✓	accuracy	76.7%	(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
✓	accuracy	51.8%	(log1p.f64 (neg.f64 (cos.f64 x)))
✓	accuracy	99.9%	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
	accuracy	77.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
	accuracy	75.2%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.4%	(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	accuracy	77.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
	accuracy	75.2%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

108.0ms	66×	1	valid
65.0ms	57×	2	valid
42.0ms	130×	0	valid
4.0ms	3×	3	valid

Compiler

Compiled 146 to 22 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-cos: 27.0ms (27% of total)

ival-div: 18.0ms (18% of total)

ival-pow: 12.0ms (12% of total)

ival-mult: 12.0ms (12% of total)

backward-pass: 9.0ms (9% of total)

ival-log1p: 8.0ms (8% of total)

ival-exp: 6.0ms (6% of total)

ival-sub: 3.0ms (3% of total)

ival-cbrt: 3.0ms (3% of total)

ival-neg: 2.0ms (2% of total)

const: 1.0ms (1% of total)

series99.0ms (1%)

Counts

13 → 128

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))>
#<alt (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))>
#<alt (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))>
#<alt (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))>
#<alt (log1p.f64 (neg.f64 (cos.f64 x)))>
#<alt (neg.f64 (cos.f64 x))>
#<alt (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))>

Outputs
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt #s(literal 1/2 binary64)>
#<alt #s(literal 1/2 binary64)>
#<alt #s(literal 1/2 binary64)>
#<alt #s(literal 1/2 binary64)>
#<alt #s(literal 1/2 binary64)>
#<alt #s(literal 1/2 binary64)>
#<alt #s(literal 1/2 binary64)>
#<alt #s(literal 1/2 binary64)>
#<alt #s(literal 1/2 binary64)>
#<alt #s(literal 1/2 binary64)>
#<alt #s(literal 1/2 binary64)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/3024 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (log.f64 x))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/90720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/1440 binary64))) #s(literal 1/12 binary64)))))>
#<alt (log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 x))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/72 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2160 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5184 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2160 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))))>
#<alt (*.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>

Calls

39 calls:

Time	Variable		Point	Expression
33.0ms	x	@	inf	(log (+ 1 (neg (cos x))))
23.0ms	x	@	-inf	(log (+ 1 (neg (cos x))))
21.0ms	x	@	-inf	(cbrt (/ (- 1 (cos x)) x))
3.0ms	x	@	inf	(/ x (/ (- 1 (cos x)) x))
2.0ms	x	@	inf	(cbrt (/ (- 1 (cos x)) x))

rewrite304.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`log1p-expm1-u`
526×	`prod-diff`
488×	`expm1-log1p-u`
140×	`frac-times`
135×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	279
1	426	250
2	4849	250

Stop Event

1×	node limit

Counts

13 → 688

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (neg.f64 (cos.f64 x)))
(neg.f64 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64))
(cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))

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

simplify368.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

728×	`times-frac`
422×	`associate-/r*`
352×	`associate-/l*`
313×	`associate-*r/`
267×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1143	34706
1	2652	30087

Stop Event

1×	node limit

Counts

816 → 694

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/3024 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (log.f64 x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/90720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/1440 binary64))) #s(literal 1/12 binary64)))))
(log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (cos.f64 x))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1/72 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2160 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))
(+.f64 (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5184 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2160 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(exp.f64 (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (neg.f64 (/.f64 (cos.f64 x) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (/.f64 (cos.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1/6 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x))) (cbrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 x))) #s(literal 1 binary64)))

Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/3024 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3024 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3024 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
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(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) #s(literal 3 binary64))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 x))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 x)) #s(literal 1/3 binary64)))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 x))) #s(literal 1 binary64)))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))

eval339.0ms (3.4%)

Compiler: Compiled 55347 to 5839 computations (89.5% saved)

prune546.0ms (5.4%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	2046	9	2055
Fresh	6	7	13
Picked	2	3	5
Done	1	3	4
Total	2055	22	2077

Accuracy

100.0%

Counts

2077 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.8%	(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 2 binary64))
	51.8%	(/.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64)) x)
	51.5%	(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64)) x)
✓	51.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	29.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
	34.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)))
	51.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	48.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(literal 6 binary64)))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	51.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
▶	51.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x)))
	51.0%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
▶	50.7%	(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
	51.1%	(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
	50.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
	51.5%	(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 (cos.f64 x) x) #s(literal 0 binary64)) (-.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x)) (/.f64 (cos.f64 x) x)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
	51.1%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	50.7%	(.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
✓	51.9%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
▶	51.9%	(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))
✓	51.2%	(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	51.7%	#s(literal 1/2 binary64)

Compiler

Compiled 502 to 344 computations (31.5% saved)

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	-6272	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	0	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
✓	cost-diff	6400	(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 2 binary64))
	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
✓	cost-diff	384	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	13504	(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	19584	(fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x))
✓	cost-diff	19712	(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))

Rules

742×	`fma-define`
547×	`distribute-lft-in`
508×	`distribute-rgt-in`
490×	`unsub-neg`
465×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	1074
1	86	1026
2	211	1007
3	619	614
4	1584	614
5	3410	614
6	7168	614

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(cos.f64 x)
(/.f64 (cos.f64 x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
#s(literal -1 binary64)
(cos.f64 x)
x
(neg.f64 x)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(literal 2 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
#s(literal 1/2 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/720 binary64)
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/40320 binary64)
#s(literal 1/24 binary64)

Outputs
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x)
(/.f64 (-.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(-.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x))
#s(literal 0 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(cos.f64 x)
(/.f64 (cos.f64 x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(-.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (cos.f64 x) x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x))
#s(literal 0 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x))
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x))
#s(literal 0 binary64)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x)))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x)
(/.f64 (-.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))
(/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
#s(literal -1 binary64)
(cos.f64 x)
x
(neg.f64 x)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 2 binary64))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x)
(/.f64 (-.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(literal 2 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))
(+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))
#s(literal -1/40320 binary64)
#s(literal 1/24 binary64)

localize577.0ms (5.7%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))
✓	accuracy	99.9%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))
✓	accuracy	99.8%	(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	accuracy	99.4%	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
✓	accuracy	99.0%	(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 2 binary64))
✓	accuracy	78.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	accuracy	75.2%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x)))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x))
✓	accuracy	77.8%	(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
✓	accuracy	75.2%	(+.f64 #s(literal -1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	99.4%	(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))
	accuracy	77.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
	accuracy	75.2%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	53.5%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x))

Results

355.0ms	160×	2	valid
113.0ms	91×	1	valid
3.0ms	1×	3	valid
2.0ms	4×	0	valid

Compiler

Compiled 252 to 37 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 285.0ms

ival-cos: 96.0ms (33.7% of total)

ival-div: 48.0ms (16.9% of total)

backward-pass: 32.0ms (11.2% of total)

...c/correct-round.rkt:119:19: 25.0ms (8.8% of total)

ival-mult: 24.0ms (8.4% of total)

ival-add: 17.0ms (6% of total)

ival-pow: 15.0ms (5.3% of total)

ival-sub: 10.0ms (3.5% of total)

ival-fma: 9.0ms (3.2% of total)

ival-sqrt: 5.0ms (1.8% of total)

ival-neg: 3.0ms (1.1% of total)

const: 2.0ms (0.7% of total)

series34.0ms (0.3%)

Counts

21 → 186

Calls

Call 1

Inputs
#<alt (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))>
#<alt (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x))>
#<alt (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))>
#<alt (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)>
#<alt (+.f64 #s(literal -1 binary64) (cos.f64 x))>
#<alt (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 2 binary64))>
#<alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) x))>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)>
#<alt (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)>
#<alt (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)>
#<alt (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (cos.f64 x))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (cos.f64 x))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (cos.f64 x))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (cos.f64 x))) x))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 x #s(literal 2 binary64))))>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt (/.f64 #s(literal -2 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x)>
#<alt (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) x)>
#<alt (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) x)>
#<alt (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))>
#<alt (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))>
#<alt (-.f64 (cos.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 x) #s(literal 1 binary64))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/40320 binary64) (.f64 #s(literal -1/48 binary64) (/.f64 (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/40320 binary64) (.f64 #s(literal -1/48 binary64) (/.f64 (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt #s(literal 1/720 binary64)>
#<alt (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/3024 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))>
#<alt (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt #s(literal -1/24 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))>
#<alt (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))>

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(sqrt (- 1 (cos x)))
1.0ms	x	@	-inf	(* (+ (+ (* (/ -1 x) (cos x)) (/ (cos x) x)) (/ (- 1 (cos x)) x)) (/ 1 x))
1.0ms	x	@	inf	(/ 1 (/ (+ -1 (cos x)) x))
1.0ms	x	@	-inf	(/ 1 (/ (+ -1 (cos x)) x))
1.0ms	x	@	-inf	(+ (+ (* (/ -1 x) (cos x)) (/ (cos x) x)) (/ (- 1 (cos x)) x))

rewrite195.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

285×	`log1p-expm1-u`
285×	`expm1-log1p-u`
278×	`add-exp-log`
277×	`add-cube-cbrt`
275×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	601
1	687	561

Stop Event

1×	node limit

Counts

21 → 514

Calls

Call 1

Inputs
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))

Outputs
(-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (sqrt.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))))
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(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) #s(literal -1/24 binary64))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) #s(literal -1/24 binary64))

simplify352.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

366×	`*-commutative`
316×	`times-frac`
303×	`fma-define`
255×	`associate-/l*`
251×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1220	29715
1	2764	23260

Stop Event

1×	node limit

Counts

700 → 785

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) x))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (cos.f64 x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (cos.f64 x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (cos.f64 x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (cos.f64 x))) x))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 x #s(literal 2 binary64))))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 #s(literal -2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x)
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) x)
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) x)
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/40320 binary64) (.f64 #s(literal -1/48 binary64) (/.f64 (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/40320 binary64) (.f64 #s(literal -1/48 binary64) (/.f64 (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/40320 binary64)))
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(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 1 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/576 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 2 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 3 binary64)) #s(literal -1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 2 binary64)) #s(literal -1/576 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 2 binary64)) #s(literal -1/576 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 2 binary64)) #s(literal -1/576 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 3 binary64)) #s(literal -1/13824 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 2 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) #s(literal -1/24 binary64))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) #s(literal -1/24 binary64))

Outputs
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) x)
(/.f64 #s(literal 0 binary64) x)
(/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) x)
(/.f64 #s(literal 0 binary64) x)
(/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) x)
(/.f64 #s(literal 0 binary64) x)
(/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) x)
(/.f64 #s(literal 0 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (cos.f64 x))) x))
(/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) x)
(/.f64 #s(literal 0 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (cos.f64 x))) x))
(/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) x)
(/.f64 #s(literal 0 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (cos.f64 x))) x))
(/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) x)
(/.f64 #s(literal 0 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (cos.f64 x))) x))
(/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) x)
(/.f64 #s(literal 0 binary64) x)
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(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))

eval277.0ms (2.8%)

Compiler: Compiled 42960 to 6454 computations (85% saved)

prune204.0ms (2%)

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	1586	4	1590
Fresh	2	9	11
Picked	2	3	5
Done	0	6	6
Total	1590	22	1612

Accuracy

100.0%

Counts

1612 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.8%	(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 2 binary64))
	51.8%	(/.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64)) x)
	51.5%	(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64)) x)
✓	51.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	29.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
	34.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)))
	51.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	48.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(literal 6 binary64)))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	51.8%	(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x)
✓	51.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
✓	51.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x)))
	51.0%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	50.7%	(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (.f64 x x)))) #s(literal 1/24 binary64))))
	51.1%	(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
	50.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
	51.5%	(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 (cos.f64 x) x) #s(literal 0 binary64)) (-.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x)) (/.f64 (cos.f64 x) x)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
	51.1%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	50.7%	(.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
✓	51.9%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
✓	51.2%	(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	51.7%	#s(literal 1/2 binary64)

Compiler

Compiled 811 to 337 computations (58.4% saved)

regimes29.0ms (0.3%)

Counts

45 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (.f64 x x)))) #s(literal 1/24 binary64))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 2 binary64))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64)) x)
(/.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x)
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 5 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 (cos.f64 x) x) #s(literal 0 binary64)) (-.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x)) (/.f64 (cos.f64 x) x)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) #s(literal 2 binary64)))

Outputs

(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (*.f64 x x)))) #s(literal 1/24 binary64))))

(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))

Calls

2 calls:

14.0ms	x
12.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.8%	2	`x`
74.8%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (0.1%)

Counts

22 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))

Outputs

(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))

(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

19 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
78.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))

Outputs
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.3b remaining (-1.1%)

Threshold costs -0.3b (-1.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))

Outputs
#s(literal 1/2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
51.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.01628856793329399	56.036509676030406

Results

7.0ms

128×

valid

Compiler

Compiled 277 to 193 computations (30.3% saved)

Precisions

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

ival-cos: 2.0ms (44.1% of total)

ival-sub: 1.0ms (22% of total)

ival-div: 1.0ms (22% of total)

ival-mult: 1.0ms (22% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.01628856793329399	56.036509676030406

Results

7.0ms

128×

valid

Compiler

Compiled 229 to 161 computations (29.7% saved)

Precisions

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

ival-cos: 2.0ms (44.6% of total)

ival-sub: 1.0ms (22.3% of total)

ival-div: 1.0ms (22.3% of total)

ival-mult: 1.0ms (22.3% of total)

const: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.097779441011909e-5	0.01628856793329399

Results

6.0ms

112×

valid

Compiler

Compiled 160 to 121 computations (24.4% saved)

Precisions

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

ival-sub: 1.0ms (27.8% of total)

ival-div: 1.0ms (27.8% of total)

ival-cos: 1.0ms (27.8% of total)

ival-mult: 1.0ms (27.8% of total)

const: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.097779441011909e-5	0.01628856793329399

Results

6.0ms

112×

valid

Compiler

Compiled 146 to 114 computations (21.9% saved)

Precisions

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

ival-sub: 1.0ms (26.7% of total)

ival-div: 1.0ms (26.7% of total)

ival-cos: 1.0ms (26.7% of total)

ival-mult: 1.0ms (26.7% of total)

const: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.097779441011909e-5	0.01628856793329399

Results

7.0ms

112×

valid

Compiler

Compiled 146 to 114 computations (21.9% saved)

Precisions

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

ival-div: 2.0ms (41.8% of total)

ival-sub: 1.0ms (20.9% of total)

ival-cos: 1.0ms (20.9% of total)

ival-mult: 1.0ms (20.9% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.836982669668376e+75	3.5578839634374814e+77

Results

9.0ms

112×

valid

Compiler

Compiled 97 to 72 computations (25.8% saved)

Precisions

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

ival-cos: 4.0ms (61.8% of total)

ival-sub: 1.0ms (15.5% of total)

ival-div: 1.0ms (15.5% of total)

ival-mult: 1.0ms (15.5% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.836982669668376e+75	3.5578839634374814e+77

Results

11.0ms

112×

valid

Compiler

Compiled 97 to 72 computations (25.8% saved)

Precisions

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

ival-cos: 4.0ms (64.4% of total)

ival-sub: 1.0ms (16.1% of total)

ival-div: 1.0ms (16.1% of total)

ival-mult: 1.0ms (16.1% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative`
9×	`+-commutative`
5×	`sub-neg`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	479
1	77	479
2	85	479
3	89	479
4	91	479

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (.f64 x x)))) #s(literal 1/24 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1116892707587883/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 130000000000000009331693572985691597674199002984591404980029211519262914510848 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x))
(if (<=.f64 x #s(literal 130000000000000009331693572985691597674199002984591404980029211519262914510848 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(literal 1/2 binary64)

Outputs
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (.f64 x x)))) #s(literal 1/24 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1116892707587883/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1116892707587883/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 130000000000000009331693572985691597674199002984591404980029211519262914510848 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x))
(if (<=.f64 x #s(literal 130000000000000009331693572985691597674199002984591404980029211519262914510848 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 0 binary64) x) x))
(if (<=.f64 x #s(literal 130000000000000009331693572985691597674199002984591404980029211519262914510848 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(if (<=.f64 x #s(literal 130000000000000009331693572985691597674199002984591404980029211519262914510848 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)

soundness336.0ms (3.3%)

Rules

897×	`prod-diff`
798×	`log1p-expm1-u`
691×	`log1p-expm1-u`
691×	`expm1-log1p-u`
575×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	601
1	687	561
0	11	61
1	132	61
2	1817	61
0	23	197
1	347	177
2	4570	177

Stop Event

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

Compiler

Compiled 226 to 86 computations (61.9% saved)

preprocess74.0ms (0.7%)

Compiler: Compiled 436 to 200 computations (54.1% saved)

analyze2.0ms (0%)

sample2.0s (19.8%)

preprocess83.0ms (0.8%)

explain156.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify50.0ms (0.5%)

localize68.0ms (0.7%)

series5.0ms (0.1%)

rewrite234.0ms (2.3%)

simplify259.0ms (2.6%)

eval47.0ms (0.5%)

prune122.0ms (1.2%)

simplify118.0ms (1.2%)

localize240.0ms (2.4%)

series18.0ms (0.2%)

rewrite732.0ms (7.3%)

simplify1.1s (10.9%)

eval162.0ms (1.6%)

prune230.0ms (2.3%)

simplify228.0ms (2.3%)

localize267.0ms (2.6%)

series99.0ms (1%)

rewrite304.0ms (3%)

simplify368.0ms (3.6%)

eval339.0ms (3.4%)

prune546.0ms (5.4%)

simplify94.0ms (0.9%)

localize577.0ms (5.7%)

series34.0ms (0.3%)

rewrite195.0ms (1.9%)

simplify352.0ms (3.5%)

eval277.0ms (2.8%)

prune204.0ms (2%)

regimes29.0ms (0.3%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch13.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch16.0ms (0.2%)

simplify9.0ms (0.1%)

soundness336.0ms (3.3%)

preprocess74.0ms (0.7%)

end0.0ms (0%)

Profiling