Metrics for 2sin (example 3.3)

analyze35.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
0%	0%	50%	50%	0%	0%	0%	4
0%	0%	37.5%	62.5%	0%	0%	0%	5
0%	0%	25%	75%	0%	0%	0%	6
0%	0%	15.6%	84.4%	0%	0%	0%	7
0%	0%	10.9%	89.1%	0%	0%	0%	8
0%	0%	7%	93%	0%	0%	0%	9
0%	0%	5.1%	94.9%	0%	0%	0%	10
0%	0%	3.3%	96.7%	0%	0%	0%	11
0%	0%	2.4%	97.6%	0%	0%	0%	12

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample9.1s (71.2%)

Results

7.4s	38310×	body	256	precondition
1.7s	8256×	body	256	valid

Bogosity

preprocess83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

382×	`fma-def`
86×	`sub-neg`
70×	`cancel-sign-sub-inv`
66×	`distribute-rgt-in`
56×	`associate--r+`

Problems

256×	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	158
1	43	150
2	68	150
3	131	150
4	245	150
5	347	150
6	527	150
7	627	150
8	675	150
9	681	150

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))

Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 eps))

Compiler

Compiled 30 to 13 computations (56.7% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	49.6%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize40.0ms (0.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	49.6%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms	eps	@	0	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms	x	@	0	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms	x	@	-inf	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms	eps	@	-inf	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

rewrite120.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`fma-def`
980×	`log1p-expm1-u`
980×	`expm1-log1p-u`
802×	`log-prod`
334×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	160	30
2	2451	30

Stop Event

1×	node limit

Counts

1 → 109

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Outputs
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(.f64 (.f64 2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (/.f64 1 (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (sin.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 1 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 (cbrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (.f64 2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (.f64 2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (.f64 2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1536×	`div-sub`
692×	`unsub-neg`
500×	`sub-neg`
480×	`associate-+l+`
396×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	6402
1	645	6094
2	1693	5690
3	5402	5690

Stop Event

1×	node limit

Counts

133 → 154

Calls

Call 1

Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 x (-.f64 (cos.f64 eps) 1)) (.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps)))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(.f64 (.f64 2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (/.f64 1 (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (sin.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 1 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 1 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 (cbrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (.f64 2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (.f64 2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (.f64 2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))

Outputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)) (.f64 x (+.f64 (cos.f64 eps) -1))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 eps)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 x (-.f64 (cos.f64 eps) 1)) (.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps)))))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 (cos.f64 eps) -1/6))))))
(+.f64 (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (.f64 x (+.f64 (cos.f64 eps) -1))) (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 eps)))
(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6))) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))))
(fma.f64 eps (cos.f64 x) (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (.f64 eps (cos.f64 x)))))
(+.f64 (fma.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24)))
(+.f64 (fma.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 4))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (.f64 2 (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (.f64 2 (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(.f64 (.f64 2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (.f64 2 (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
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(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (*.f64 (neg.f64 (sin.f64 x)) 1))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (.f64 2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (.f64 2 (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) (.f64 0 (sin.f64 x)))
(fma.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 0)
(fma.f64 (.f64 2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (.f64 2 (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) (.f64 0 (sin.f64 x)))
(fma.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 0)
(fma.f64 (.f64 2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2)) (.f64 2 (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) (.f64 0 (sin.f64 x)))
(fma.f64 2 (.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 0)

eval37.0ms (0.3%)

Compiler: Compiled 2844 to 957 computations (66.4% saved)

prune32.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	147	7	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	8	155

Accuracy

100.0%

Counts

155 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
✓	49.6%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	100.0%	(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
	99.6%	(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
▶	49.7%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
▶	100.0%	(.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
▶	99.8%	(*.f64 eps (cos.f64 x))
▶	99.1%	(sin.f64 eps)
	100.0%	(fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
✓	49.6%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	100.0%	(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
	99.6%	(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
▶	49.7%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
▶	100.0%	(.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
▶	99.8%	(*.f64 eps (cos.f64 x))
▶	99.1%	(sin.f64 eps)

Compiler

Compiled 402 to 292 computations (27.4% saved)

localize264.0ms (2.1%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 eps 2)
✓	100.0%	(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
✓	100.0%	(*.f64 eps (cos.f64 x))
✓	99.9%	(*.f64 (pow.f64 eps 2) (sin.f64 x))
✓	100.0%	(.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
✓	49.7%	(+.f64 x (-.f64 eps x))
✓	100.0%	(*.f64 eps (cos.f64 x))
✓	100.0%	(.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 eps 1/2))))

Compiler

Compiled 190 to 91 computations (52.1% saved)

series15.0ms (0.1%)

Counts

8 → 91

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(*.f64 eps (cos.f64 x))
1.0ms	x	@	inf	(.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
1.0ms	x	@	0	(.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
1.0ms	eps	@	0	(.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
1.0ms	eps	@	-inf	(.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 eps 1/2))))

rewrite148.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`expm1-udef`
476×	`associate-r`
294×	`associate-l`
246×	`log1p-expm1-u`
246×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	248
1	573	224
2	7547	224

Stop Event

1×	node limit

Counts

8 → 171

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(*.f64 eps (cos.f64 x))
(+.f64 x (-.f64 eps x))
(.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(pow.f64 eps 2)

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps)))))) 1)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps)))) 1)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps))))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps))))) 2)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sin.f64 (.f64 1/2 eps))) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps)))) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (.f64 2 (sin.f64 (.f64 1/2 eps))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (sin.f64 (.f64 1/2 eps))) 3) (pow.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps))))))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (*.f64 1/2 eps))))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) 1)
(pow.f64 (*.f64 eps (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 eps (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(-.f64 eps 0)
(-.f64 (+.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (-.f64 eps 0))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 (-.f64 x eps) x)) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 (-.f64 x eps) x)))
(*.f64 (-.f64 eps 0) 1)
(*.f64 1 (-.f64 eps 0))
(*.f64 (cbrt.f64 (-.f64 eps 0)) (pow.f64 (cbrt.f64 (-.f64 eps 0)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps 0)) 2) (cbrt.f64 (-.f64 eps 0)))
(*.f64 (sqrt.f64 (-.f64 eps 0)) (sqrt.f64 (-.f64 eps 0)))
(.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0))))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (+.f64 (-.f64 x eps) x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0)))) (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x eps) x) (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0)))))
(/.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 (pow.f64 x 2) (*.f64 x (-.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (+.f64 (-.f64 x eps) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))) (neg.f64 (+.f64 (-.f64 x eps) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 x eps) x))))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (pow.f64 x 2)) (fma.f64 2 x eps))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (pow.f64 x 2)) (-.f64 eps (/.f64 0 0)))
(pow.f64 (-.f64 eps 0) 1)
(pow.f64 (cbrt.f64 (-.f64 eps 0)) 3)
(pow.f64 (pow.f64 (-.f64 eps 0) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 eps 0)) 2)
(sqrt.f64 (pow.f64 (-.f64 eps 0) 2))
(log.f64 (exp.f64 (-.f64 eps 0)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps 0))))
(cbrt.f64 (pow.f64 (-.f64 eps 0) 3))
(expm1.f64 (log1p.f64 (-.f64 eps 0)))
(exp.f64 (log.f64 (-.f64 eps 0)))
(exp.f64 (*.f64 (log.f64 (-.f64 eps 0)) 1))
(log1p.f64 (expm1.f64 (-.f64 eps 0)))
(fma.f64 1 x (-.f64 eps x))
(fma.f64 1 (-.f64 eps x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) 2) (cbrt.f64 (-.f64 eps x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
(fma.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x)) x)
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))))) 1)
(/.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (.f64 1/2 (+.f64 (-.f64 eps 0) (fma.f64 2 x eps))))) 2)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (.f64 1/2 (+.f64 (-.f64 eps 0) (fma.f64 2 x eps)))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (-.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (.f64 1/2 (+.f64 (-.f64 eps 0) (fma.f64 2 x eps)))))) -2)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) 1)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))) 2)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (.f64 1/2 (-.f64 eps 0)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) 3)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 eps 0))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 (-.f64 eps 0))))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) 1)
(pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 eps 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) 1)
(pow.f64 (*.f64 eps (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 eps (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))) 1)
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))))
(.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) 1)
(.f64 1 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))
(.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) 2) (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))))
(.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (/.f64 1 (-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3)) (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3))) (neg.f64 (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2))) (neg.f64 (-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))
(pow.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) 3)
(pow.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) 2))
(log.f64 (exp.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))))
(exp.f64 (log.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))))
(exp.f64 (.f64 (log.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))))
(fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(fma.f64 (cos.f64 x) eps (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(fma.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) -1/2 (.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 eps (cos.f64 x)))
(fma.f64 1 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 1 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (cbrt.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (*.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) 2) (cbrt.f64 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(fma.f64 (.f64 (.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (.f64 (.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(fma.f64 (.f64 (pow.f64 eps 2) -1/2) (sin.f64 x) (.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 eps 2))) 1)
(*.f64 eps eps)
(*.f64 (pow.f64 eps 2) 1)
(*.f64 1 (pow.f64 eps 2))
(*.f64 (cbrt.f64 (pow.f64 eps 2)) (cbrt.f64 (pow.f64 eps 4)))
(.f64 (cbrt.f64 (pow.f64 eps 2)) (.f64 (cbrt.f64 eps) eps))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (cbrt.f64 (pow.f64 eps 2)))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps))
(.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps))
(.f64 (.f64 eps (cbrt.f64 (pow.f64 eps 2))) (cbrt.f64 eps))
(sqrt.f64 (pow.f64 eps 4))
(log.f64 (exp.f64 (pow.f64 eps 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 eps 2))))
(cbrt.f64 (pow.f64 (pow.f64 eps 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 eps 2)))
(exp.f64 (log.f64 (pow.f64 eps 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 eps 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 eps 2)))

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

174×	`*-commutative`
118×	`+-commutative`
116×	`sqr-pow`
74×	`fma-def`
56×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	11047
1	1291	11047

Stop Event

1×

unsound

Counts

262 → 255

Calls

Call 1

Inputs
(.f64 2 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))
(+.f64 (.f64 -2 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (.f64 2 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
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(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
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(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (.f64 -1/48 (cos.f64 x))))) (*.f64 eps (cos.f64 x)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/24 (.f64 eps (pow.f64 x 4)))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (.f64 1/24 (.f64 eps (pow.f64 x 4))))))
eps
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eps
(.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))
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(+.f64 (.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 1/2 (.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/2 (.f64 eps (cos.f64 x))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/48 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/24 (.f64 eps (pow.f64 x 4)))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (.f64 1/24 (.f64 eps (pow.f64 x 4))))))
(*.f64 eps (cos.f64 x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
eps
(+.f64 eps (.f64 -1/2 (.f64 (pow.f64 eps 2) x)))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 -1/2 (.f64 (pow.f64 eps 2) x))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps)))))) 1)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps)))) 1)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps))))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps))))) 2)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sin.f64 (.f64 1/2 eps))) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps)))) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (.f64 2 (sin.f64 (.f64 1/2 eps))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (sin.f64 (.f64 1/2 eps))) 3) (pow.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps))))))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (*.f64 1/2 eps))))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 1/2 eps))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) 1)
(pow.f64 (*.f64 eps (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 eps (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(-.f64 eps 0)
(-.f64 (+.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (-.f64 eps 0))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 (-.f64 x eps) x)) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 (-.f64 x eps) x)))
(*.f64 (-.f64 eps 0) 1)
(*.f64 1 (-.f64 eps 0))
(*.f64 (cbrt.f64 (-.f64 eps 0)) (pow.f64 (cbrt.f64 (-.f64 eps 0)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps 0)) 2) (cbrt.f64 (-.f64 eps 0)))
(*.f64 (sqrt.f64 (-.f64 eps 0)) (sqrt.f64 (-.f64 eps 0)))
(.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0))))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (+.f64 (-.f64 x eps) x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0)))) (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3))))
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(/.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0)))))
(/.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 (pow.f64 x 2) (*.f64 x (-.f64 eps x)))))
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(/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (pow.f64 x 2)) (-.f64 eps (/.f64 0 0)))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
(fma.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x)) x)
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(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (-.f64 eps 0))))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) 1)
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(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 eps 2) 3)))
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(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) 1)
(pow.f64 (*.f64 eps (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 eps (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))) 1)
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))))
(.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) 1)
(.f64 1 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))
(.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) 2) (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))))
(.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (/.f64 1 (-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))) (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3)) (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3))) (neg.f64 (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2))) (neg.f64 (-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 eps (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))
(pow.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) 3)
(pow.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) 2))
(log.f64 (exp.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))))
(exp.f64 (log.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))))
(exp.f64 (.f64 (log.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))))
(fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(fma.f64 (cos.f64 x) eps (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(fma.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) -1/2 (.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 eps (cos.f64 x)))
(fma.f64 1 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 1 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (cbrt.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (*.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) 2) (cbrt.f64 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(fma.f64 (.f64 (.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (.f64 (.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(fma.f64 (.f64 (pow.f64 eps 2) -1/2) (sin.f64 x) (.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 eps 2))) 1)
(*.f64 eps eps)
(*.f64 (pow.f64 eps 2) 1)
(*.f64 1 (pow.f64 eps 2))
(*.f64 (cbrt.f64 (pow.f64 eps 2)) (cbrt.f64 (pow.f64 eps 4)))
(.f64 (cbrt.f64 (pow.f64 eps 2)) (.f64 (cbrt.f64 eps) eps))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (cbrt.f64 (pow.f64 eps 2)))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps))
(.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps))
(.f64 (.f64 eps (cbrt.f64 (pow.f64 eps 2))) (cbrt.f64 eps))
(sqrt.f64 (pow.f64 eps 4))
(log.f64 (exp.f64 (pow.f64 eps 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 eps 2))))
(cbrt.f64 (pow.f64 (pow.f64 eps 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 eps 2)))
(exp.f64 (log.f64 (pow.f64 eps 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 eps 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 eps 2)))

Outputs
(.f64 2 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))
(+.f64 (.f64 -2 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (.f64 2 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(fma.f64 -2 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (.f64 2 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps)))))
(+.f64 (.f64 -2 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))) (.f64 2 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))))
(fma.f64 -2 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (fma.f64 -1 (.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))) (pow.f64 x 2)) (.f64 2 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))))
(+.f64 (.f64 -2 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (.f64 2 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))))
(fma.f64 -2 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (fma.f64 -1 (.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))) (pow.f64 x 2)) (fma.f64 1/3 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 3)) (.f64 2 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps)))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (.f64 -1/48 (cos.f64 x))))) (*.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)) (fma.f64 2 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) -1/12)) (.f64 eps (cos.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (.f64 -1/48 (cos.f64 x))))) (*.f64 eps (cos.f64 x)))))
(fma.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)) (fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 2 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) -1/12)) (*.f64 eps (cos.f64 x)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (.f64 1/2 eps))))
(.f64 2 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (.f64 (.f64 -1/2 eps) (pow.f64 x 2)))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/24 (.f64 eps (pow.f64 x 4)))))
(+.f64 eps (fma.f64 -1/2 (.f64 eps (pow.f64 x 2)) (.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (.f64 1/24 (.f64 eps (pow.f64 x 4))))))
(+.f64 eps (fma.f64 -1/2 (.f64 eps (pow.f64 x 2)) (fma.f64 -1/720 (.f64 eps (pow.f64 x 6)) (.f64 1/24 (.f64 eps (pow.f64 x 4))))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))
(fma.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(fma.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (fma.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))) (pow.f64 x 2)) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))))
(fma.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (fma.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))) (pow.f64 x 2)) (fma.f64 1/6 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 3)) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
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(expm1.f64 (log1p.f64 (-.f64 eps 0)))
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(fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 -1 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 -1 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (cbrt.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (*.f64 eps (cos.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 (sin.f64 x) 2) 1/4))) (cbrt.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (*.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) 2) (cbrt.f64 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (.f64 (.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (.f64 (.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps (.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 -1/2))) (.f64 eps (.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 -1/2))) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(+.f64 (pow.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) 2) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (.f64 (pow.f64 eps 2) -1/2) (sin.f64 x) (.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 eps 2))) 1)
(pow.f64 eps 2)
(*.f64 eps eps)
(pow.f64 eps 2)
(*.f64 (pow.f64 eps 2) 1)
(pow.f64 eps 2)
(*.f64 1 (pow.f64 eps 2))
(pow.f64 eps 2)
(*.f64 (cbrt.f64 (pow.f64 eps 2)) (cbrt.f64 (pow.f64 eps 4)))
(.f64 (cbrt.f64 (pow.f64 eps 2)) (.f64 (cbrt.f64 eps) eps))
(.f64 (cbrt.f64 (pow.f64 eps 2)) (.f64 eps (cbrt.f64 eps)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (cbrt.f64 (pow.f64 eps 2)))
(*.f64 (cbrt.f64 (pow.f64 eps 2)) (cbrt.f64 (pow.f64 eps 4)))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps))
(pow.f64 eps 2)
(.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 eps 2)
(.f64 (.f64 eps (cbrt.f64 (pow.f64 eps 2))) (cbrt.f64 eps))
(.f64 eps (.f64 (cbrt.f64 (pow.f64 eps 2)) (cbrt.f64 eps)))
(sqrt.f64 (pow.f64 eps 4))
(log.f64 (exp.f64 (pow.f64 eps 2)))
(pow.f64 eps 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 eps 2))))
(pow.f64 eps 2)
(cbrt.f64 (pow.f64 (pow.f64 eps 2) 3))
(pow.f64 eps 2)
(expm1.f64 (log1p.f64 (pow.f64 eps 2)))
(pow.f64 eps 2)
(exp.f64 (log.f64 (pow.f64 eps 2)))
(pow.f64 eps 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 eps 2)) 1))
(pow.f64 eps 2)
(log1p.f64 (expm1.f64 (pow.f64 eps 2)))
(pow.f64 eps 2)

eval106.0ms (0.8%)

Compiler: Compiled 5864 to 3691 computations (37.1% saved)

prune95.0ms (0.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	268	7	275
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	273	10	283

Accuracy

100.0%

Counts

283 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 (cos.f64 x) eps (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
✓	49.6%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	99.9%	(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
▶	100.0%	(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))) (.f64 eps (cos.f64 x)))
▶	99.8%	(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (.f64 1/24 (.f64 eps (pow.f64 x 4))))))
▶	99.6%	(+.f64 eps (.f64 (.f64 -1/2 eps) (pow.f64 x 2)))
▶	100.0%	(.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
✓	99.8%	(*.f64 eps (cos.f64 x))
✓	99.1%	(sin.f64 eps)
	99.1%	eps
	100.0%	(fma.f64 (cos.f64 x) eps (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
✓	49.6%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	99.9%	(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
▶	100.0%	(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))) (.f64 eps (cos.f64 x)))
▶	99.8%	(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (.f64 1/24 (.f64 eps (pow.f64 x 4))))))
▶	99.6%	(+.f64 eps (.f64 (.f64 -1/2 eps) (pow.f64 x 2)))
▶	100.0%	(.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
✓	99.8%	(*.f64 eps (cos.f64 x))
✓	99.1%	(sin.f64 eps)
	99.1%	eps

Compiler

Compiled 436 to 318 computations (27.1% saved)

localize489.0ms (3.8%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 eps (pow.f64 x 4))
✓	99.9%	(.f64 -1/720 (.f64 eps (pow.f64 x 6)))
✓	99.9%	(.f64 1/24 (.f64 eps (pow.f64 x 4)))
✓	99.9%	(*.f64 eps (pow.f64 x 2))
✓	100.0%	(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))) (.f64 eps (cos.f64 x)))
	100.0%	(*.f64 eps (cos.f64 x))
✓	99.9%	(.f64 (.f64 eps eps) (sin.f64 x))
	100.0%	(pow.f64 eps 2)
✓	100.0%	(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
	100.0%	(*.f64 eps (cos.f64 x))
✓	99.9%	(*.f64 (pow.f64 eps 2) x)
✓	100.0%	(pow.f64 x 2)
✓	99.9%	(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
✓	100.0%	(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))

Compiler

Compiled 286 to 177 computations (38.1% saved)

series20.0ms (0.2%)

Counts

11 → 97

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
2.0ms	x	@	-inf	(.f64 -1/720 (.f64 eps (pow.f64 x 6)))
1.0ms	eps	@	0	(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
1.0ms	eps	@	0	(.f64 -1/720 (.f64 eps (pow.f64 x 6)))
1.0ms	eps	@	0	(.f64 1/24 (.f64 eps (pow.f64 x 4)))

rewrite140.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`associate-r`
450×	`associate-l`
316×	`cbrt-prod`
295×	`log1p-expm1-u`
295×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	303
1	656	303

Stop Event

1×	node limit

Counts

11 → 215

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(.f64 (.f64 eps eps) (sin.f64 x))
(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))) (.f64 eps (cos.f64 x)))
(*.f64 eps (pow.f64 x 2))
(.f64 1/24 (.f64 eps (pow.f64 x 4)))
(.f64 -1/720 (.f64 eps (pow.f64 x 6)))
(*.f64 eps (pow.f64 x 4))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) (sin.f64 (.f64 1/2 eps))))) 1)
(/.f64 (+.f64 (sin.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 (+.f64 eps (.f64 x 2))))) (sin.f64 (+.f64 (.f64 1/2 eps) (.f64 1/2 (+.f64 eps (.f64 x 2)))))) 2)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) (sin.f64 (.f64 1/2 eps))) 1)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) (sin.f64 (.f64 1/2 eps)))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) (sin.f64 (.f64 1/2 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) (sin.f64 (.f64 1/2 eps)))) 2)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) (sin.f64 (.f64 1/2 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 1/2 eps))) (cos.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) (sin.f64 (.f64 1/2 eps))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) (sin.f64 (.f64 1/2 eps))) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) 3) (pow.f64 (sin.f64 (.f64 1/2 eps)) 3)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) (sin.f64 (.f64 1/2 eps)))))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) (sin.f64 (.f64 1/2 eps)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) (sin.f64 (*.f64 1/2 eps)))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))) (sin.f64 (.f64 1/2 eps)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))))) 1)
(pow.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) 3) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (.f64 1/2 eps))) 2)
(sqrt.f64 (pow.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) eps) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/2 eps) 3) (pow.f64 x 6)))
(cbrt.f64 (.f64 (pow.f64 x 6) (pow.f64 (.f64 1/2 eps) 3)))
(expm1.f64 (log1p.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2)))))
(exp.f64 (log.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (*.f64 -1/2 (pow.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(*.f64 x x)
(*.f64 1 (pow.f64 x 2))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 4)))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 8))) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))
(.f64 (.f64 x 1) x)
(.f64 (.f64 x (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x 4))
(fabs.f64 (pow.f64 x 2))
(log.f64 (exp.f64 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(exp.f64 (log.f64 (pow.f64 x 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 x (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 eps 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 eps 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 eps 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 eps 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 eps 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 2) (-.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) (.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) (*.f64 eps (cos.f64 x)))))
(.f64 1 (fma.f64 eps (cos.f64 x) (.f64 x (*.f64 (pow.f64 eps 2) -1/2))))
(.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 x (*.f64 (pow.f64 eps 2) -1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2)))) 2) (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 x (*.f64 (pow.f64 eps 2) -1/2)))))
(.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2)))) (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 x (*.f64 (pow.f64 eps 2) -1/2)))))
(.f64 (+.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 3) (pow.f64 (.f64 eps (cos.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 2) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 x (*.f64 (pow.f64 eps 2) -1/2)))))))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 2) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (/.f64 1 (-.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) (*.f64 eps (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 2) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 x (.f64 (pow.f64 eps 2) -1/2))))) (+.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 3) (pow.f64 (.f64 eps (cos.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) (.f64 eps (cos.f64 x))) (-.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 2) (pow.f64 (.f64 eps (cos.f64 x)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 3) (pow.f64 (.f64 eps (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 2) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 x (.f64 (pow.f64 eps 2) -1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 2) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (-.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) (.f64 eps (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 3) (pow.f64 (.f64 eps (cos.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 2) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 x (.f64 (pow.f64 eps 2) -1/2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 2) (pow.f64 (.f64 eps (cos.f64 x)) 2))) (neg.f64 (-.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) (.f64 eps (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 3) (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 3)) (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 2) (.f64 (.f64 eps (cos.f64 x)) (.f64 x (.f64 (pow.f64 eps 2) -1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 2)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 x (.f64 (pow.f64 eps 2) -1/2))))
(pow.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2)))) 3)
(pow.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2))) 2))
(log.f64 (exp.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2)))))
(exp.f64 (log.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2)))))
(exp.f64 (.f64 (log.f64 (fma.f64 eps (cos.f64 x) (.f64 x (*.f64 (pow.f64 eps 2) -1/2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2)))))
(fma.f64 eps (cos.f64 x) (.f64 x (.f64 (pow.f64 eps 2) -1/2)))
(fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 x (.f64 (pow.f64 eps 2) -1/2)))
(fma.f64 1 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 1 (.f64 eps (cos.f64 x)) (.f64 x (*.f64 (pow.f64 eps 2) -1/2)))
(fma.f64 (.f64 x (pow.f64 eps 2)) -1/2 (.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) 2) (cbrt.f64 (.f64 eps (cos.f64 x))) (.f64 x (.f64 (pow.f64 eps 2) -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2)) 2)) (cbrt.f64 (.f64 x (.f64 (pow.f64 eps 2) -1/2))) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (.f64 eps (cos.f64 x))) (.f64 x (.f64 (pow.f64 eps 2) -1/2)))
(fma.f64 (.f64 (.f64 eps (sqrt.f64 x)) (sqrt.f64 -1/2)) (.f64 (.f64 eps (sqrt.f64 x)) (sqrt.f64 -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 -1/2 (pow.f64 eps 2)) x (.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) 1)
(pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 eps 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))) 1)
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(.f64 1 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) 2) (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))))
(.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (/.f64 1 (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 eps (cos.f64 x))) (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3)) (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 eps (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3))) (neg.f64 (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2))) (neg.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 eps (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 3) (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8)) (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(pow.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) 3)
(pow.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) 2))
(log.f64 (exp.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(cbrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(exp.f64 (log.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(exp.f64 (.f64 (log.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) -1/2 (.f64 eps (cos.f64 x)))
(fma.f64 1 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) 2) (cbrt.f64 (.f64 eps (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (cbrt.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (.f64 eps (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (.f64 (.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (.f64 (.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 -1/2 (pow.f64 eps 2)) (sin.f64 x) (.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 eps (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 6)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 eps (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24)))) 1)
(pow.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24)) 1)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24))) 3)
(pow.f64 (pow.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24)) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 1/24 eps)) (pow.f64 x 2)) 2)
(sqrt.f64 (.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 8)) 1/576))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/24 eps)) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24)))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24)) 3))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24))))
(exp.f64 (log.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) (*.f64 eps 1/24))) 1))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24))))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720)))) 1)
(pow.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720)) 1)
(pow.f64 (.f64 (cbrt.f64 (.f64 -1/720 eps)) (pow.f64 x 2)) 3)
(pow.f64 (pow.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720)) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 -1/720 eps)) (pow.f64 x 3)) 2)
(sqrt.f64 (.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 12)) 1/518400))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 6)) -1/720))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720)))))
(cbrt.f64 (pow.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720)) 3))
(expm1.f64 (log1p.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720))))
(exp.f64 (log.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720))))
(exp.f64 (.f64 (log.f64 (.f64 eps (*.f64 (pow.f64 x 6) -1/720))) 1))
(log1p.f64 (expm1.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 eps (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x 4)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 eps)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x 4)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 12)))
(cbrt.f64 (*.f64 (pow.f64 x 12) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 eps (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 x 4))))

simplify148.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1310×	`log-prod`
962×	`associate-r`
870×	`associate-l`
576×	`cube-prod`
536×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	582	12984
1	1396	12497
2	5347	12457

Stop Event

1×	node limit

Counts

312 → 329

Calls

Call 1

Inputs
(.f64 1/2 (.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/2 (.f64 eps (cos.f64 x))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/48 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 (.f64 -2 x) (.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 (.f64 -2 x) (.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 (.f64 -2 x) (.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 (.f64 -2 x) (.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
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(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))) 1)
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(.f64 1 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) 2) (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))))
(.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (/.f64 1 (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 eps (cos.f64 x))) (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3)) (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 eps (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8) (pow.f64 (.f64 eps (cos.f64 x)) 3))) (neg.f64 (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (pow.f64 (.f64 eps (cos.f64 x)) 2))) (neg.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 eps (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 3) (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 3) -1/8)) (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(pow.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) 3)
(pow.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) 2))
(log.f64 (exp.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(cbrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(exp.f64 (log.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(exp.f64 (.f64 (log.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) -1/2 (.f64 eps (cos.f64 x)))
(fma.f64 1 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) 2) (cbrt.f64 (.f64 eps (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (cbrt.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (.f64 eps (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (.f64 (.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (.f64 (.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 -1/2 (pow.f64 eps 2)) (sin.f64 x) (.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 eps (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 6)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 eps (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24)))) 1)
(pow.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24)) 1)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24))) 3)
(pow.f64 (pow.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24)) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 1/24 eps)) (pow.f64 x 2)) 2)
(sqrt.f64 (.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 8)) 1/576))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/24 eps)) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24)))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24)) 3))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24))))
(exp.f64 (log.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) (*.f64 eps 1/24))) 1))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x 4) (.f64 eps 1/24))))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720)))) 1)
(pow.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720)) 1)
(pow.f64 (.f64 (cbrt.f64 (.f64 -1/720 eps)) (pow.f64 x 2)) 3)
(pow.f64 (pow.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720)) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 -1/720 eps)) (pow.f64 x 3)) 2)
(sqrt.f64 (.f64 (.f64 (pow.f64 eps 2) (pow.f64 x 12)) 1/518400))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 6)) -1/720))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720)))))
(cbrt.f64 (pow.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720)) 3))
(expm1.f64 (log1p.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720))))
(exp.f64 (log.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720))))
(exp.f64 (.f64 (log.f64 (.f64 eps (*.f64 (pow.f64 x 6) -1/720))) 1))
(log1p.f64 (expm1.f64 (.f64 eps (.f64 (pow.f64 x 6) -1/720))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 eps (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x 4)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 eps)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x 4)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 12)))
(cbrt.f64 (*.f64 (pow.f64 x 12) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 eps (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 x 4))))

Outputs
(.f64 1/2 (.f64 eps (cos.f64 x)))
(.f64 (.f64 1/2 eps) (cos.f64 x))
(.f64 eps (.f64 1/2 (cos.f64 x)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/2 (.f64 eps (cos.f64 x))))
(fma.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (*.f64 1/2 eps) (cos.f64 x)))
(fma.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 eps (*.f64 1/2 (cos.f64 x))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(fma.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x)) (fma.f64 1/2 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) -1/12))))
(fma.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x)) (fma.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) -1/12) (.f64 eps (.f64 1/2 (cos.f64 x)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/48 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))))))
(fma.f64 -1/4 (.f64 (pow.f64 eps 2) (sin.f64 x)) (fma.f64 1/48 (.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 1/2 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12)))))
(+.f64 (fma.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) -1/12) (.f64 eps (.f64 1/2 (cos.f64 x)))) (.f64 (sin.f64 x) (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (.f64 1/48 (pow.f64 eps 4)))))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 (.f64 -2 x) (.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 (.f64 -2 x) (.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 (.f64 -2 x) (.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (cos.f64 (.f64 -1/2 (+.f64 (.f64 -2 x) (.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (*.f64 eps -1/2)))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))
(fma.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps))) (.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(-.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 eps -1/2))) (.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(fma.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (fma.f64 -1/2 (.f64 (.f64 (pow.f64 x 2) (cos.f64 (.f64 1/2 eps))) (sin.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps)))) (.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 eps -1/2)))) (.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))))))
(fma.f64 -1 (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (fma.f64 -1/2 (.f64 (.f64 (pow.f64 x 2) (cos.f64 (.f64 1/2 eps))) (sin.f64 (.f64 1/2 eps))) (fma.f64 1/6 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 3)) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps)))) (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 eps -1/2)))) (.f64 x (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (.f64 1/6 (pow.f64 x 3))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (cos.f64 (.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 1/2 eps)))
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eval189.0ms (1.5%)

Compiler: Compiled 9656 to 6186 computations (35.9% saved)

prune66.0ms (0.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	448	4	452
Fresh	1	1	2
Picked	3	2	5
Done	2	1	3
Total	454	8	462

Accuracy

100.0%

Counts

462 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (cos.f64 x) eps (.f64 x (.f64 (pow.f64 eps 2) -1/2)))
✓	100.0%	(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))) (.f64 eps (cos.f64 x)))
▶	99.9%	(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) x)) (.f64 eps (cos.f64 x)))
▶	99.8%	(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (.f64 x x))) (+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
▶	99.6%	(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
✓	100.0%	(.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
✓	99.8%	(*.f64 eps (cos.f64 x))
	99.1%	eps
▶	99.9%	(fma.f64 (cos.f64 x) eps (.f64 x (.f64 (pow.f64 eps 2) -1/2)))
✓	100.0%	(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))) (.f64 eps (cos.f64 x)))
▶	99.9%	(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) x)) (.f64 eps (cos.f64 x)))
▶	99.8%	(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (.f64 x x))) (+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
▶	99.6%	(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
✓	100.0%	(.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
✓	99.8%	(*.f64 eps (cos.f64 x))
	99.1%	eps

Compiler

Compiled 212 to 148 computations (30.2% saved)

localize209.0ms (1.6%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
	100.0%	(pow.f64 eps 2)
✓	100.0%	(fma.f64 (cos.f64 x) eps (.f64 x (.f64 (pow.f64 eps 2) -1/2)))
✓	100.0%	(*.f64 (pow.f64 eps 2) -1/2)
✓	99.9%	(.f64 x (.f64 (pow.f64 eps 2) -1/2))
✓	100.0%	(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) x)) (.f64 eps (cos.f64 x)))
	100.0%	(*.f64 eps (cos.f64 x))
✓	99.9%	(.f64 (.f64 eps eps) x)
	100.0%	(*.f64 eps (pow.f64 x 4))
	99.9%	(.f64 -1/720 (.f64 eps (pow.f64 x 6)))
	99.9%	(.f64 1/24 (.f64 eps (pow.f64 x 4)))
✓	99.9%	(.f64 eps (.f64 x x))
✓	99.9%	(.f64 (.f64 -1/2 eps) (*.f64 x x))

Compiler

Compiled 211 to 111 computations (47.4% saved)

series5.0ms (0%)

Counts

7 → 156

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(*.f64 (pow.f64 eps 2) -1/2)
0.0ms	x	@	0	(.f64 x (.f64 (pow.f64 eps 2) -1/2))
0.0ms	eps	@	0	(*.f64 (pow.f64 eps 2) -1/2)
0.0ms	eps	@	inf	(fma.f64 (cos.f64 x) eps (.f64 x (.f64 (pow.f64 eps 2) -1/2)))
0.0ms	x	@	inf	(fma.f64 (cos.f64 x) eps (.f64 x (.f64 (pow.f64 eps 2) -1/2)))

rewrite120.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`log-prod`
1086×	`fma-def`
771×	`log1p-expm1-u`
771×	`expm1-log1p-u`
476×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	190
1	343	190
2	3766	190

Stop Event

1×	node limit

Counts

7 → 203

Calls

Call 1

Inputs
(.f64 (.f64 -1/2 eps) (*.f64 x x))
(.f64 eps (.f64 x x))
(.f64 (.f64 eps eps) x)
(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) x)) (.f64 eps (cos.f64 x)))
(.f64 x (.f64 (pow.f64 eps 2) -1/2))
(*.f64 (pow.f64 eps 2) -1/2)
(fma.f64 (cos.f64 x) eps (.f64 x (.f64 (pow.f64 eps 2) -1/2)))

Outputs
(+.f64 0 (.f64 eps (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (.f64 -1/2 eps))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (.f64 -1/2 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (.f64 -1/2 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (.f64 -1/2 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (.f64 -1/2 eps)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))))) 1)
(pow.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) 3) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (.f64 -1/2 eps))) 2)
(sqrt.f64 (.f64 (pow.f64 x 4) (.f64 (pow.f64 eps 2) 1/4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (*.f64 -1/2 eps)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 -1/2 eps) 3) (pow.f64 (pow.f64 x 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x 2) 3) (pow.f64 (.f64 -1/2 eps) 3)))
(expm1.f64 (log1p.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2)))))
(exp.f64 (log.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (*.f64 -1/2 (pow.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 0 (*.f64 eps (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 eps (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (pow.f64 x 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 eps (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 x 2))))
(+.f64 0 (*.f64 x (pow.f64 eps 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 eps 2))) (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 eps 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 eps 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 eps 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 eps 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 x (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 eps 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 eps 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 eps 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 eps 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 eps 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))))
(.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x))) 1)
(.f64 1 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x))))
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) 2) (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))))
(.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) (sqrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))))
(.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3)) (/.f64 1 (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (/.f64 1 (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))) (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 eps (cos.f64 x))) (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (pow.f64 (.f64 eps (cos.f64 x)) 2))))
(/.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3)) (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (.f64 -1/2 (.f64 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 eps (cos.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3))) (neg.f64 (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 x (pow.f64 eps 2))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (pow.f64 (.f64 eps (cos.f64 x)) 2))) (neg.f64 (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 eps (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4))) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))
(pow.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) (pow.f64 (exp.f64 (cos.f64 x)) eps)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))))) (+.f64 1 (expm1.f64 (.f64 eps (cos.f64 x))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps) (+.f64 1 (expm1.f64 (.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps (cos.f64 x)))) (pow.f64 (exp.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps (cos.f64 x)))) (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))
(exp.f64 (log.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))
(fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (.f64 -1/2 (.f64 x (pow.f64 eps 2))))
(fma.f64 eps (.f64 (.f64 eps x) -1/2) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 -1/2 eps) (.f64 eps x) (*.f64 eps (cos.f64 x)))
(fma.f64 x (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 eps 2) (.f64 -1/2 x) (.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 eps 2) (.f64 x -1/2) (.f64 eps (cos.f64 x)))
(fma.f64 (.f64 x (pow.f64 eps 2)) -1/2 (.f64 eps (cos.f64 x)))
(fma.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) 1 (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 -1/2 (.f64 x (pow.f64 eps 2))))
(fma.f64 (.f64 eps (cos.f64 x)) 1 (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 1 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))
(fma.f64 1 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (.f64 -1/2 (pow.f64 eps 2)) x (.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (pow.f64 eps 2))) 2) (.f64 (cbrt.f64 (.f64 x (pow.f64 eps 2))) -1/2) (.f64 eps (cos.f64 x)))
(fma.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (cbrt.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2)) (.f64 -1/2 (.f64 x (pow.f64 eps 2))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2)) (cbrt.f64 (.f64 eps (cos.f64 x))) (.f64 -1/2 (.f64 x (pow.f64 eps 2))))
(fma.f64 (cbrt.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2)))) (cbrt.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4))) (*.f64 eps (cos.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4))) (cbrt.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2)))) (*.f64 eps (cos.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)) (.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 eps 2))) x) (.f64 eps (cos.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 eps 2)) (.f64 (cbrt.f64 eps) (cos.f64 x)) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) eps) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (cos.f64 x)) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (.f64 eps (sqrt.f64 x)) (.f64 (.f64 eps (sqrt.f64 x)) -1/2) (.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (.f64 eps (cos.f64 x))) (.f64 -1/2 (.f64 x (pow.f64 eps 2))))
(fma.f64 (.f64 (sqrt.f64 x) (.f64 eps (sqrt.f64 -1/2))) (.f64 (sqrt.f64 x) (.f64 eps (sqrt.f64 -1/2))) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps (sqrt.f64 -1/2)) (.f64 (.f64 eps (sqrt.f64 -1/2)) x) (.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) eps) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (.f64 -1/2 x) (pow.f64 eps 2) (.f64 eps (cos.f64 x)))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 (.f64 x (pow.f64 eps 2))) 2)) (cbrt.f64 (.f64 x (pow.f64 eps 2))) (.f64 eps (cos.f64 x)))
(fma.f64 (.f64 -1/2 (.f64 eps (sqrt.f64 x))) (.f64 eps (sqrt.f64 x)) (.f64 eps (cos.f64 x)))
(fma.f64 (.f64 x -1/2) (pow.f64 eps 2) (.f64 eps (cos.f64 x)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4))) (cbrt.f64 (.f64 -1/2 (pow.f64 eps 2))) (.f64 eps (cos.f64 x)))
(fma.f64 (.f64 x (.f64 eps (sqrt.f64 -1/2))) (.f64 eps (sqrt.f64 -1/2)) (.f64 eps (cos.f64 x)))
(fma.f64 (.f64 (.f64 -1/2 (pow.f64 eps 2)) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 (.f64 -1/2 (pow.f64 eps 2)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (.f64 (cos.f64 x) (cbrt.f64 (pow.f64 eps 2))) (cbrt.f64 eps) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 -1/2 (pow.f64 eps 2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))))) 1)
(pow.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) 1)
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2)))) 3)
(pow.f64 (pow.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 x) (.f64 eps (sqrt.f64 -1/2))) 2)
(sqrt.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))))))
(cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) 3))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))
(+.f64 0 (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (pow.f64 eps 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(+.f64 0 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))))) (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))))
(.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x))) 1)
(.f64 1 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x))))
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) 2) (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))))
(.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) (sqrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))))
(.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3)) (/.f64 1 (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (/.f64 1 (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))) (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 eps (cos.f64 x))) (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (pow.f64 (.f64 eps (cos.f64 x)) 2))))
(/.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3)) (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (.f64 -1/2 (.f64 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 eps (cos.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3))) (neg.f64 (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 x (pow.f64 eps 2))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (pow.f64 (.f64 eps (cos.f64 x)) 2))) (neg.f64 (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 eps (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4))) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))
(pow.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) (pow.f64 (exp.f64 (cos.f64 x)) eps)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))))) (+.f64 1 (expm1.f64 (.f64 eps (cos.f64 x))))))
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(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps (cos.f64 x)))) (pow.f64 (exp.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps (cos.f64 x)))) (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))
(exp.f64 (log.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))

simplify140.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

912×	`log-prod`
688×	`cancel-sign-sub-inv`
606×	`associate-r`
568×	`associate-l`
524×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	13987
1	936	13430
2	3635	12987

Stop Event

1×	node limit

Counts

359 → 225

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
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(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
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(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
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(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
eps
(+.f64 eps (.f64 -1/2 (.f64 (pow.f64 eps 2) x)))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 -1/2 (.f64 (pow.f64 eps 2) x))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 eps (pow.f64 x 4))))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
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eps
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(fma.f64 (.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(+.f64 0 (.f64 -1/2 (.f64 x (pow.f64 eps 2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 -1/2 (pow.f64 eps 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 -1/2 (pow.f64 eps 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 -1/2 (pow.f64 eps 2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))))) 1)
(pow.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) 1)
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2)))) 3)
(pow.f64 (pow.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 x) (.f64 eps (sqrt.f64 -1/2))) 2)
(sqrt.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))))))
(cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) 3))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))
(+.f64 0 (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (pow.f64 eps 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(+.f64 0 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))))) (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))))
(.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x))) 1)
(.f64 1 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x))))
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) 2) (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))))
(.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) (sqrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))))
(.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3)) (/.f64 1 (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (/.f64 1 (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))) (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 eps (cos.f64 x))) (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (pow.f64 (.f64 eps (cos.f64 x)) 2))))
(/.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3)) (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (.f64 -1/2 (.f64 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (pow.f64 (.f64 eps (cos.f64 x)) 2)) (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 eps (cos.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 eps 2)) 3) -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3))) (neg.f64 (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 eps (cos.f64 x)) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 x (pow.f64 eps 2))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4)) (pow.f64 (.f64 eps (cos.f64 x)) 2))) (neg.f64 (-.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))) (.f64 eps (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) 2) (.f64 (pow.f64 x 2) (.f64 (pow.f64 eps 4) 1/4))) (-.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))
(pow.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) (pow.f64 (exp.f64 (cos.f64 x)) eps)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2))))) (+.f64 1 (expm1.f64 (.f64 eps (cos.f64 x))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps) (+.f64 1 (expm1.f64 (.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps (cos.f64 x)))) (pow.f64 (exp.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps (cos.f64 x)))) (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 x (pow.f64 eps 2)))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))
(exp.f64 (log.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))

Outputs
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 (.f64 -1/2 eps) (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
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(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
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(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
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(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (pow.f64 eps 2))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
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(fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
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(fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 x (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 -1/2 (.f64 x (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
eps
(+.f64 eps (.f64 -1/2 (.f64 (pow.f64 eps 2) x)))
(+.f64 eps (.f64 -1/2 (.f64 x (pow.f64 eps 2))))
(fma.f64 -1/2 (*.f64 x (pow.f64 eps 2)) eps)
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(log1p.f64 (expm1.f64 (fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))))
(fma.f64 -1/2 (.f64 x (pow.f64 eps 2)) (.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))

eval111.0ms (0.9%)

Compiler: Compiled 6240 to 3831 computations (38.6% saved)

prune49.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	317	1	318
Fresh	0	1	1
Picked	2	2	4
Done	0	3	3
Total	319	7	326

Accuracy

100.0%

Counts

326 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))) (.f64 eps (cos.f64 x)))
✓	99.8%	(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (.f64 x x))) (+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
✓	99.6%	(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
✓	100.0%	(.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
	99.9%	(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
✓	99.8%	(*.f64 eps (cos.f64 x))
	99.1%	eps

Compiler

Compiled 336 to 209 computations (37.8% saved)

regimes30.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

Inputs
eps
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(+.f64 eps (.f64 (.f64 -1/2 eps) (pow.f64 x 2)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) x)) (.f64 eps (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))) (.f64 eps (cos.f64 x)))
(.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (.f64 x x))) (+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
(fma.f64 (cos.f64 x) eps (.f64 x (.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (.f64 1/24 (.f64 eps (pow.f64 x 4))))))
(fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(fma.f64 (cos.f64 x) eps (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))

Outputs
(.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)

Calls

3 calls:

10.0ms	x
7.0ms	eps
7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 260 to 155 computations (40.4% saved)

regimes19.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
eps
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(+.f64 eps (.f64 (.f64 -1/2 eps) (pow.f64 x 2)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) x)) (.f64 eps (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))) (.f64 eps (cos.f64 x)))

Outputs
(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))) (.f64 eps (cos.f64 x)))

Calls

3 calls:

6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 96 to 50 computations (47.9% saved)

regimes38.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
eps
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(+.f64 eps (.f64 (.f64 -1/2 eps) (pow.f64 x 2)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) x)) (.f64 eps (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))

Outputs
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))

Calls

3 calls:

25.0ms	eps
6.0ms	x
4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`eps`
99.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 83 to 46 computations (44.6% saved)

regimes9.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
eps
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(+.f64 eps (.f64 (.f64 -1/2 eps) (pow.f64 x 2)))

Outputs
(*.f64 eps (cos.f64 x))

Calls

2 calls:

4.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 33 to 20 computations (39.4% saved)

regimes12.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
eps
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(sin.f64 eps)

Outputs
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))

Calls

2 calls:

8.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
eps

Outputs
eps

Calls

2 calls:

3.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
14×	`+-commutative`
8×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	207
1	56	207
2	68	207
3	74	207
4	78	207
5	79	207

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))) (.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
eps

Outputs
(.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
(+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x))) (.f64 eps (cos.f64 x)))
(.f64 eps (+.f64 (.f64 -1/2 (*.f64 eps x)) (cos.f64 x)))
(.f64 eps (+.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps x))))
(*.f64 eps (cos.f64 x))
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(+.f64 eps (.f64 (.f64 eps -1/2) (*.f64 x x)))
eps

Compiler

Compiled 64 to 45 computations (29.7% saved)

soundness659.0ms (5.2%)

Rules

1024×	`fma-def`
980×	`log1p-expm1-u`
980×	`expm1-log1p-u`
912×	`log-prod`
898×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	160	30
2	2451	30
0	489	11047
1	1291	11047
0	44	303
1	656	303
0	35	248
1	573	224
2	7547	224
0	405	13987
1	936	13430
2	3635	12987

Stop Event

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

Compiler

Compiled 378 to 199 computations (47.4% saved)

end0.0ms (0%)

preprocess62.0ms (0.5%)

Compiler: Compiled 156 to 100 computations (35.9% saved)

Iter	Nodes	Cost
0	25	158
1	43	150
2	68	150
3	131	150
4	245	150
5	347	150
6	527	150
7	627	150
8	675	150
9	681	150

Iter	Nodes	Cost
0	25	158
1	43	150
2	68	150
3	131	150
4	245	150
5	347	150
6	527	150
7	627	150
8	675	150
9	681	150

analyze35.0ms (0.3%)

sample9.1s (71.2%)

preprocess83.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize40.0ms (0.3%)

series2.0ms (0%)

rewrite120.0ms (0.9%)

simplify111.0ms (0.9%)

eval37.0ms (0.3%)

prune32.0ms (0.2%)

localize264.0ms (2.1%)

series15.0ms (0.1%)

rewrite148.0ms (1.2%)

simplify75.0ms (0.6%)

eval106.0ms (0.8%)

prune95.0ms (0.7%)

localize489.0ms (3.8%)

series20.0ms (0.2%)

rewrite140.0ms (1.1%)

simplify148.0ms (1.2%)

eval189.0ms (1.5%)

prune66.0ms (0.5%)

localize209.0ms (1.6%)

series5.0ms (0%)

rewrite120.0ms (0.9%)

simplify140.0ms (1.1%)

eval111.0ms (0.9%)

prune49.0ms (0.4%)

regimes30.0ms (0.2%)

regimes19.0ms (0.1%)

regimes38.0ms (0.3%)

regimes9.0ms (0.1%)

regimes12.0ms (0.1%)

regimes5.0ms (0%)

simplify6.0ms (0%)

soundness659.0ms (5.2%)

end0.0ms (0%)

preprocess62.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	25	158
1	43	150
2	68	150
3	131	150
4	245	150
5	347	150
6	527	150
7	627	150
8	675	150
9	681	150