Metrics for ENA, Section 1.4, Exercise 4d

analyze14.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	12.8%	87.2%	0%	0%	0%	0
0%	0%	12.8%	87.2%	0%	0%	0%	1
0%	0%	12.8%	87.2%	0%	0%	0%	2
50%	6.4%	6.4%	87.2%	0%	0%	0%	3
57.1%	6.4%	4.8%	87.2%	0%	1.6%	0%	4
69.2%	7.2%	3.2%	87.2%	0%	2.4%	0%	5
75%	7.2%	2.4%	87.2%	0%	3.2%	0%	6
82.6%	7.6%	1.6%	87.2%	0%	3.6%	0%	7
86.4%	7.6%	1.2%	87.2%	0%	4%	0%	8
90.7%	7.8%	0.8%	87.2%	0%	4.2%	0%	9
92.6%	7.8%	0.6%	87.2%	0%	4.4%	0%	10
95%	7.9%	0.4%	87.2%	0%	4.5%	0%	11
96.3%	8%	0.3%	87.2%	0%	4.5%	0%	12

Compiler

Compiled 25 to 17 computations (32% saved)

sample1.2s (22.6%)

Results

747.0ms	5916×	body	256	valid
260.0ms	1179×	body	1024	valid
184.0ms	1135×	body	512	valid
13.0ms	170×	body	256	invalid
7.0ms	26×	body	2048	valid

Bogosity

preprocess43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

638×	`fma-def`
114×	`sub-neg`
88×	`fma-neg`
60×	`distribute-lft-neg-in`
56×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	123
1	51	115
2	108	115
3	286	115
4	593	115
5	837	115
6	932	115
7	961	115
8	967	115

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps))))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))

Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps)))
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps))))
(-.f64 x (sqrt.f64 (fma.f64 x x eps)))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))

Compiler

Compiled 10 to 6 computations (40% 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
▶	58.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	58.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize38.0ms (0.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	100.0%	(-.f64 (*.f64 x x) eps)
✓	58.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series6.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

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

rewrite95.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`fma-def`
938×	`log-prod`
896×	`prod-exp`
664×	`pow-prod-down`
530×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	201	53
2	2888	49

Stop Event

1×	node limit

Counts

3 → 253

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (-.f64 (*.f64 x x) eps))

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

simplify122.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

800×	`fma-neg`
646×	`cancel-sign-sub-inv`
558×	`fma-def`
448×	`exp-prod`
444×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	568	8325
1	1334	7717
2	4105	7617

Stop Event

1×	node limit

Counts

309 → 358

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 x (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 x (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7))))))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 2 x))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))) x)))))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))))
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(+.f64 0 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1)
(*.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (*.f64 x x) eps)))))
(.f64 (-.f64 (.f64 x x) (-.f64 (*.f64 x x) eps)) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(/.f64 1 (/.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (.f64 x x) eps))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (neg.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (.f64 x x) eps)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3)) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1)
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 3)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (.f64 x x) eps))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))) -1)
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))
(log.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(exp.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(fma.f64 x 1 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 x 1 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(fma.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 1 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 1 x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(fma.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 1 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(fma.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6)) x)
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) x)
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
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(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 5/6) (pow.f64 (-.f64 (.f64 x x) eps) 1/6) (fma.f64 (neg.f64 eps) 1 eps))
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 5/6) (pow.f64 (-.f64 (.f64 x x) eps) 1/6) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 5/6) (pow.f64 (-.f64 (.f64 x x) eps) 1/6) (+.f64 (neg.f64 eps) eps))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6) (cbrt.f64 (-.f64 (*.f64 x x) eps)))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/6))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (hypot.f64 x (sqrt.f64 eps)))
(pow.f64 (-.f64 (*.f64 x x) eps) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) 3)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 3/2)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) 1/6)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 1/3)
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (*.f64 x x) eps)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (*.f64 x x) eps)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6)) 3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (-.f64 (*.f64 x x) eps))) 2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 (*.f64 x x) eps))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3) 1/3))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

Outputs
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)))
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1)) x)
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x)
(+.f64 x (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 x (fma.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))))))
(+.f64 x (-.f64 (/.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 x x))) (sqrt.f64 -1)) (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 x (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)))))
(+.f64 x (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(+.f64 x (fma.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))
(+.f64 x (-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (.f64 -1 (sqrt.f64 -1)))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x) (fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7))))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (pow.f64 (.f64 (.f64 eps eps) -1/8) 2)) (pow.f64 x 7))))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (.f64 (pow.f64 eps 4) 1/64)) (pow.f64 x 7))) (.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))) (/.f64 (.f64 (*.f64 1/8 eps) eps) (pow.f64 x 3))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 x 2)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (/.f64 (.f64 eps (.f64 eps -1/8)) (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 2 x))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 x 2))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8 (fma.f64 x 2 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))) x)))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (pow.f64 eps 4) (/.f64 x (+.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))))))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (+.f64 (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps 4) x) (+.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)))))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/2 (+.f64 (/.f64 eps x) (.f64 (/.f64 (pow.f64 eps 4) x) (+.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)))) (/.f64 (.f64 (*.f64 1/8 eps) eps) (pow.f64 x 3))))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (.f64 (sqrt.f64 (/.f64 1 eps)) 1/2)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (.f64 -1 (sqrt.f64 -1)))) -1/8 (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (.f64 (sqrt.f64 (/.f64 1 eps)) 1/2))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) -1/8 (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 (sqrt.f64 (/.f64 1 eps)) 1/2))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (.f64 -1 (sqrt.f64 -1)))) -1/8 (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 (sqrt.f64 (/.f64 1 eps)) 1/2)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) -1/8 (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (.f64 (sqrt.f64 (/.f64 1 eps)) 1/2)))))
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 -1/2 (/.f64 eps x) x)
(+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8)))
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) (/.f64 (.f64 eps (.f64 eps -1/8)) (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))))
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) (fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))))
(+.f64 (fma.f64 -1/2 (/.f64 eps x) x) (fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 eps x)))
(fma.f64 -1 x (*.f64 1/2 (/.f64 eps x)))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) (neg.f64 x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 -1 x (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))))
(-.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))) x)
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
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(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6) (pow.f64 (-.f64 (.f64 x x) eps) 5/6) (-.f64 eps eps))
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6) (pow.f64 (-.f64 (.f64 x x) eps) 5/6) 0)
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 5/6) (pow.f64 (-.f64 (.f64 x x) eps) 1/6) (+.f64 (neg.f64 eps) eps))
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 5/6) (pow.f64 (-.f64 (.f64 x x) eps) 1/6) (+.f64 eps (neg.f64 eps)))
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6) (pow.f64 (-.f64 (.f64 x x) eps) 5/6) (-.f64 eps eps))
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6) (pow.f64 (-.f64 (.f64 x x) eps) 5/6) 0)
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6) (cbrt.f64 (-.f64 (*.f64 x x) eps)))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/6))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (hypot.f64 x (sqrt.f64 eps)))
(pow.f64 (-.f64 (*.f64 x x) eps) 1/2)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) 3)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 3/2)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/4)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) 1/6)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 1/3)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) 1/2))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (*.f64 x x) eps)) 1) 1/2))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (*.f64 x x) eps)) 1/2) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/6)) 3))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (-.f64 (*.f64 x x) eps))) 2))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 (*.f64 x x) eps))) 1/3))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3) 1/3))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))

eval103.0ms (1.9%)

Compiler: Compiled 6456 to 2706 computations (58.1% saved)

prune61.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	351	7	358
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	351	8	359

Accuracy

99.8%

Counts

359 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.4%	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
▶	74.2%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	55.5%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	58.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	53.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	4.6%	(-.f64 x x)
▶	3.6%	(+.f64 x x)
▶	48.6%	(*.f64 1/2 (/.f64 eps x))
	43.4%	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
▶	74.2%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	55.5%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	58.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	53.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	4.6%	(-.f64 x x)
▶	3.6%	(+.f64 x x)
▶	48.6%	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 260 to 172 computations (33.8% saved)

localize60.0ms (1.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	100.0%	(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
✓	100.0%	(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓	99.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

Compiler

Compiled 62 to 15 computations (75.8% saved)

series23.0ms (0.4%)

Counts

4 → 52

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	eps	@	-inf	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
5.0ms	eps	@	inf	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
2.0ms	x	@	-inf	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
2.0ms	eps	@	0	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
1.0ms	x	@	0	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

rewrite88.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`log-prod`
906×	`fma-def`
766×	`pow-prod-down`
560×	`pow-exp`
556×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	78
1	246	62
2	3694	62

Stop Event

1×	node limit

Counts

4 → 224

Calls

Call 1

Inputs
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))

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

simplify124.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

588×	`fma-def`
516×	`log-prod`
468×	`associate-r`
466×	`sqr-pow`
454×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	617	8416
1	1514	7268
2	5436	7058

Stop Event

1×	node limit

Counts

276 → 368

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))) (.f64 (pow.f64 x 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 eps (pow.f64 (sqrt.f64 -1) 4)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/128 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6))) (.f64 1/32 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 7))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/2 (/.f64 eps x)))
(+.f64 (.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (.f64 1/4 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))))))
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(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
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(*.f64 2 x)
(+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (*.f64 2 x))
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(.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))
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(*.f64 2 x)
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
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x
(+.f64 x (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
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(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
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x
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
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x
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x
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x
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(.f64 (/.f64 eps (+.f64 (pow.f64 (fma.f64 x x eps) 3/2) (pow.f64 x 3))) (-.f64 (fma.f64 x x (fma.f64 x x eps)) (.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(.f64 (/.f64 eps (-.f64 (.f64 x x) (fma.f64 x x eps))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 1)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 3)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3) 1/3)
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(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) 1) -1)
(neg.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
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(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) -1))
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(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1)
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(*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 1)
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(.f64 (+.f64 (pow.f64 (fma.f64 x x eps) 3/2) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x eps)) (.f64 x (hypot.f64 x (sqrt.f64 eps))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps))) (neg.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
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(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2)
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(log.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
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(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 eps))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 x (sqrt.f64 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 eps))))))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(+.f64 0 (hypot.f64 x (sqrt.f64 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps)))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 eps)) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 eps)))
(*.f64 (pow.f64 (fma.f64 x x eps) 1/6) (cbrt.f64 (fma.f64 x x eps)))
(*.f64 (cbrt.f64 (fma.f64 x x eps)) (pow.f64 (fma.f64 x x eps) 1/6))
(*.f64 (pow.f64 (fma.f64 x x eps) 1/4) (pow.f64 (fma.f64 x x eps) 1/4))
(pow.f64 (hypot.f64 x (sqrt.f64 eps)) 1)
(pow.f64 (pow.f64 (fma.f64 x x eps) 1/6) 3)
(pow.f64 (fma.f64 x x eps) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x eps) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x eps) 1/4) 2)
(sqrt.f64 (fma.f64 x x eps))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 eps)))))
(cbrt.f64 (pow.f64 (fma.f64 x x eps) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x eps) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x eps)) 1/2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x eps))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x eps) 1/4)) 2))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 eps))))
(+.f64 x (neg.f64 (sqrt.f64 eps)))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(+.f64 (neg.f64 (sqrt.f64 eps)) x)
(+.f64 0 (-.f64 x (sqrt.f64 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (sqrt.f64 eps)))) (cbrt.f64 (exp.f64 (-.f64 x (sqrt.f64 eps)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))))
(*.f64 (-.f64 x (sqrt.f64 eps)) 1)
(*.f64 1 (-.f64 x (sqrt.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))))
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)))
(/.f64 1 (/.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps)))
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 (sqrt.f64 eps)) 2) (*.f64 x (neg.f64 (sqrt.f64 eps))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (neg.f64 (sqrt.f64 eps)) 2)) (-.f64 x (neg.f64 (sqrt.f64 eps))))
(pow.f64 (-.f64 x (sqrt.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2)
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) -1)
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)) -1)
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 eps)))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 1 (exp.f64 (sqrt.f64 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (neg.f64 (sqrt.f64 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 1 (exp.f64 (sqrt.f64 eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 eps))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 eps))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 eps))) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 eps))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 eps)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 eps))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps))))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 x (sqrt.f64 eps)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps)))) 2))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps))))
(fma.f64 x 1 (neg.f64 (sqrt.f64 eps)))
(fma.f64 x 1 (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(fma.f64 (-.f64 x (sqrt.f64 eps)) 1 (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(fma.f64 (-.f64 x (sqrt.f64 eps)) 1 (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(fma.f64 (-.f64 x (sqrt.f64 eps)) 1 (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(fma.f64 1 x (neg.f64 (sqrt.f64 eps)))
(fma.f64 1 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(fma.f64 1 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(fma.f64 1 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(fma.f64 1 (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(fma.f64 1 (neg.f64 (sqrt.f64 eps)) x)
(fma.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(fma.f64 (cbrt.f64 eps) (neg.f64 (pow.f64 eps 1/6)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (sqrt.f64 eps)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(fma.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(fma.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(fma.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(fma.f64 (pow.f64 eps 1/4) (neg.f64 (pow.f64 eps 1/4)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps))) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps))) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps))) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(fma.f64 -1 (sqrt.f64 eps) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 eps))) (cbrt.f64 (neg.f64 (sqrt.f64 eps)))) (cbrt.f64 (neg.f64 (sqrt.f64 eps))) x)
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 eps))) (sqrt.f64 (neg.f64 (sqrt.f64 eps))) x)
(fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) x)
(fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 eps 1/6) x)
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))

Outputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
(fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x 1))
(+.f64 x (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))))
(fma.f64 -1 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (.f64 x x)) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x 1)) (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) (.f64 -1/2 (.f64 x x))))
(-.f64 (+.f64 x (/.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (sqrt.f64 -1))) (.f64 -1/2 (*.f64 x x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))) (.f64 (pow.f64 x 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 eps (pow.f64 (sqrt.f64 -1) 4)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))))))))
(fma.f64 -1 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (.f64 x x)) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)) (.f64 (pow.f64 x 3) (-.f64 (/.f64 1/2 (.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (sqrt.f64 -1)))))))))
(+.f64 (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 eps) (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) -1/2)))) (/.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (fma.f64 (neg.f64 (.f64 x x)) (.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 -1 (sqrt.f64 -1)) -1/2)) (/.f64 x 1)))
(+.f64 (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 eps) (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) -1/2)))) (/.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (-.f64 x (.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (sqrt.f64 -1))) (.f64 -1/2 (.f64 x x)))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 -1/8 (/.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8))
(fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) 1/8))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 -1/8 (/.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 4))) (.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(+.f64 (.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) 1/8) (fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/128 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6))) (.f64 1/32 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 7))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (.f64 1/2 (/.f64 eps x)))))
(fma.f64 -1 (/.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6)) 5/128) (pow.f64 x 7)) (fma.f64 -1/8 (/.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 4))) (.f64 1/2 (/.f64 eps x)))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8) (fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))) (/.f64 (.f64 (pow.f64 eps 4) -5/128) (pow.f64 x 7)))
(+.f64 (fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))) (-.f64 (.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) 1/8) (/.f64 (*.f64 (pow.f64 eps 4) -5/128) (pow.f64 x 7))))
(*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (*.f64 -2 x) (pow.f64 (sqrt.f64 -1) 2))
(/.f64 -2 (/.f64 -1 x))
(+.f64 (.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/2 (/.f64 eps x)))
(fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (/.f64 eps x) -1/2))
(fma.f64 (/.f64 eps x) -1/2 (/.f64 -2 (/.f64 -1 x)))
(+.f64 (.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (.f64 1/4 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))))))
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(fma.f64 (/.f64 x -1) -2 (fma.f64 (/.f64 eps x) -1/2 (/.f64 -1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps)))))
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(fma.f64 (/.f64 x -1) -2 (fma.f64 -2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (.f64 (pow.f64 eps 4) 1/64)) (.f64 eps (pow.f64 x 5))) (fma.f64 (/.f64 eps x) -1/2 (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 1/4 (.f64 (/.f64 eps (pow.f64 x 5)) (.f64 (.f64 eps eps) 1/8)))) (/.f64 -1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps)))))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x)
(+.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 x (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
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(+.f64 x (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (.f64 -1 (sqrt.f64 -1)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))))
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(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (*.f64 2 x))
(fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 x 2))
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (*.f64 2 x)))
(fma.f64 -1/8 (/.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 4))) (fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 x 2)))
(fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)))
(fma.f64 -1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (*.f64 2 x))))
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(+.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)) (fma.f64 -1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 (.f64 -1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (.f64 1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))))
(fma.f64 -1/8 (/.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8))
(fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) 1/8))
(+.f64 (.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 x 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3)))))
(fma.f64 -1/8 (/.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 4))) (.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(+.f64 (.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) 1/8) (fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
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(fma.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 6))) (fma.f64 1/8 (/.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 4))) (/.f64 (.f64 1/2 (fma.f64 1/16 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)) (pow.f64 (.f64 (.f64 -1/8 (.f64 eps eps)) (pow.f64 (sqrt.f64 -1) 4)) 2))) (pow.f64 x 7)))))
(+.f64 (fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (.f64 (pow.f64 eps 4) 1/64)) (pow.f64 x 7)) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8)))
(+.f64 (fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (.f64 (pow.f64 eps 4) 1/64)) (pow.f64 x 7)) (*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) 1/8)))
(*.f64 2 x)
(*.f64 x 2)
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
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(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (.f64 -1 (sqrt.f64 -1)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
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(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (.f64 -1 (sqrt.f64 -1)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))))
x
(+.f64 x (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(+.f64 x (*.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 x (*.f64 (/.f64 eps x) -1/2))
(+.f64 x (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))))
(+.f64 x (fma.f64 -1/8 (/.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 4))) (.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 (/.f64 -1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps)))))
(+.f64 x (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 x 5))) (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))))
(+.f64 x (fma.f64 -1/8 (/.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 4))) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 6))) (.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))))
(+.f64 x (+.f64 (.f64 (/.f64 eps x) -1/2) (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (/.f64 (*.f64 -1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(+.f64 x (+.f64 (.f64 (/.f64 eps x) -1/2) (fma.f64 -1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 (.f64 -1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(fma.f64 -1 x (*.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) (neg.f64 x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3)))))
(fma.f64 -1 x (fma.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (/.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 4))) 1/8)))
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(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (pow.f64 eps 1/6) (cbrt.f64 eps))))
(fma.f64 (-.f64 x (sqrt.f64 eps)) 1 (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 1 x (neg.f64 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 1 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(-.f64 x (sqrt.f64 eps))
(fma.f64 1 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 1 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (pow.f64 eps 1/6) (cbrt.f64 eps))))
(fma.f64 1 (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 1 (neg.f64 (sqrt.f64 eps)) x)
(-.f64 x (sqrt.f64 eps))
(fma.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (pow.f64 eps 1/6) (cbrt.f64 eps))))
(fma.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (pow.f64 eps 1/6) (cbrt.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (cbrt.f64 eps) (neg.f64 (pow.f64 eps 1/6)) x)
(-.f64 x (*.f64 (pow.f64 eps 1/6) (cbrt.f64 eps)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(/.f64 (*.f64 (fma.f64 x x eps) 1) (+.f64 x (sqrt.f64 eps)))
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps)))
(fma.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)) (/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps))))
(+.f64 (-.f64 (sqrt.f64 eps) (*.f64 (pow.f64 eps 1/6) (cbrt.f64 eps))) (/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps))))
(fma.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(/.f64 (*.f64 (fma.f64 x x eps) 1) (+.f64 x (sqrt.f64 eps)))
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (pow.f64 eps 1/6) (cbrt.f64 eps))))
(fma.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (pow.f64 eps 1/4) (neg.f64 (pow.f64 eps 1/4)) x)
(-.f64 x (sqrt.f64 eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps))) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps))) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps))))
(+.f64 (-.f64 (sqrt.f64 eps) (*.f64 (pow.f64 eps 1/6) (cbrt.f64 eps))) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps))))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps))) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x x (fma.f64 x (sqrt.f64 eps) eps)))
(fma.f64 -1 (sqrt.f64 eps) x)
(-.f64 x (sqrt.f64 eps))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 eps))) (cbrt.f64 (neg.f64 (sqrt.f64 eps)))) (cbrt.f64 (neg.f64 (sqrt.f64 eps))) x)
(-.f64 x (sqrt.f64 eps))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 eps))) (sqrt.f64 (neg.f64 (sqrt.f64 eps))) x)
(-.f64 x (sqrt.f64 eps))
(fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) x)
(-.f64 x (sqrt.f64 eps))
(fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 eps 1/6) x)
(fma.f64 (cbrt.f64 eps) (neg.f64 (pow.f64 eps 1/6)) x)
(-.f64 x (*.f64 (pow.f64 eps 1/6) (cbrt.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (+.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (*.f64 0 (sqrt.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) 0)
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (fma.f64 (neg.f64 (pow.f64 eps 1/6)) (cbrt.f64 eps) (sqrt.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 eps) (*.f64 (pow.f64 eps 1/6) (cbrt.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (+.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (+.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (*.f64 0 (sqrt.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) 0)

eval103.0ms (1.9%)

Compiler: Compiled 6774 to 3549 computations (47.6% saved)

prune76.0ms (1.4%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	361	7	368
Fresh	1	1	2
Picked	1	4	5
Done	0	1	1
Total	363	13	376

Accuracy

100.0%

Counts

376 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.4%	(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8))
▶	49.4%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
	44.3%	(/.f64 eps (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))))
▶	24.3%	(/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3))
✓	74.2%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	44.3%	(/.f64 eps (+.f64 x (+.f64 x (fma.f64 (/.f64 eps x) -1/2 (/.f64 -1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps)))))))
	49.4%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
▶	48.6%	(/.f64 eps (+.f64 x x))
▶	55.5%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	58.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	53.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.6%	(-.f64 x x)
✓	3.6%	(+.f64 x x)
	43.4%	(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8))
▶	49.4%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
	44.3%	(/.f64 eps (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))))
▶	24.3%	(/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3))
✓	74.2%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	44.3%	(/.f64 eps (+.f64 x (+.f64 x (fma.f64 (/.f64 eps x) -1/2 (/.f64 -1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps)))))))
	49.4%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
▶	48.6%	(/.f64 eps (+.f64 x x))
▶	55.5%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	58.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	53.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.6%	(-.f64 x x)
✓	3.6%	(+.f64 x x)

Compiler

Compiled 528 to 344 computations (34.8% saved)

localize161.0ms (3%)

Compiler: Compiled 202 to 81 computations (59.9% saved)

eval0.0ms (0%)

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

prune11.0ms (0.2%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	5	5
Done	5	5
Total	13	13

Accuracy

100.0%

Counts

13 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.4%	(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8))
✓	49.4%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
▶	44.3%	(/.f64 eps (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))))
✓	24.3%	(/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3))
✓	74.2%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	44.3%	(/.f64 eps (+.f64 x (+.f64 x (fma.f64 (/.f64 eps x) -1/2 (/.f64 -1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps)))))))
▶	49.4%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
✓	48.6%	(/.f64 eps (+.f64 x x))
✓	55.5%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	58.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	53.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.6%	(-.f64 x x)
✓	3.6%	(+.f64 x x)
▶	43.4%	(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8))
✓	49.4%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
▶	44.3%	(/.f64 eps (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))))
✓	24.3%	(/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3))
✓	74.2%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	44.3%	(/.f64 eps (+.f64 x (+.f64 x (fma.f64 (/.f64 eps x) -1/2 (/.f64 -1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps)))))))
▶	49.4%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
✓	48.6%	(/.f64 eps (+.f64 x x))
✓	55.5%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	58.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	53.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.6%	(-.f64 x x)
✓	3.6%	(+.f64 x x)

Compiler

Compiled 302 to 196 computations (35.1% saved)

localize162.0ms (3%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8))
✓	99.7%	(.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8)
✓	60.6%	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
✓	100.0%	(*.f64 (/.f64 eps x) -1/2)
✓	99.8%	(/.f64 eps (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))))
✓	99.7%	(fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)))
✓	60.6%	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
✓	100.0%	(+.f64 x (*.f64 (/.f64 eps x) -1/2))
✓	100.0%	(*.f64 (/.f64 eps x) -1/2)
✓	100.0%	(+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2)))
✓	99.9%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))

Compiler

Compiled 156 to 74 computations (52.6% saved)

series20.0ms (0.4%)

Counts

11 → 264

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2)))
1.0ms	eps	@	0	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
1.0ms	x	@	0	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
1.0ms	eps	@	inf	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
1.0ms	eps	@	inf	(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))

rewrite144.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`expm1-udef`
864×	`log1p-udef`
524×	`add-sqr-sqrt`
504×	`pow1`
502×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	303
1	536	291
2	7150	291

Stop Event

1×	node limit

Counts

11 → 338

Calls

Call 1

Inputs
(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
(+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2)))
(*.f64 (/.f64 eps x) -1/2)
(+.f64 x (*.f64 (/.f64 eps x) -1/2))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)))
(/.f64 eps (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))))
(*.f64 (/.f64 eps x) -1/2)
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8)
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))) 1)
(.f64 eps (/.f64 1 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))))
(.f64 (/.f64 eps (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))) 1)
(.f64 1 (/.f64 eps (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 1 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)))) (pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)))) 2) (cbrt.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(.f64 (sqrt.f64 (/.f64 eps (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)))) (sqrt.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(.f64 (neg.f64 eps) (/.f64 1 (neg.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)))))
(.f64 (/.f64 1 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))) eps)
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))))
(.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)) 2))) (/.f64 eps (cbrt.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)))) (/.f64 eps (sqrt.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)) 2))) (cbrt.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)) 2))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) (fma.f64 x x (.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))))
(.f64 (/.f64 eps (-.f64 (.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))) (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))
(pow.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))) 2)
(pow.f64 (/.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) eps) -1)
(neg.f64 (/.f64 eps (neg.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(sqrt.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))) 2))
(log.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))))
(cbrt.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(exp.f64 (log.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) (/.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2) (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))
(.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)) 1)
(.f64 1 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)))
(.f64 (cbrt.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)) 2)) (cbrt.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))
(.f64 (sqrt.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))) (sqrt.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)) (/.f64 1 (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (+.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2) (-.f64 (.f64 x x) (.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)) (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))) (neg.f64 (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3))) (+.f64 (.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (.f64 (+.f64 x x) (*.f64 (/.f64 eps x) -1/2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2) (*.f64 x x)) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))
(/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 1/4 (pow.f64 (/.f64 eps x) 2))) (-.f64 (+.f64 x x) (*.f64 (/.f64 eps x) -1/2)))
(pow.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))
(exp.f64 (log.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))
(exp.f64 (.f64 (log.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))
(fma.f64 1 x (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 1 (fma.f64 (/.f64 eps x) -1/2 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 2) (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 (/.f64 eps x) -1/2 x))
(fma.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 (/.f64 eps x) -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 eps x) -1/2))) 1)
(/.f64 eps (/.f64 x -1/2))
(/.f64 -1/2 (/.f64 x eps))
(/.f64 1 (/.f64 x (*.f64 eps -1/2)))
(/.f64 (*.f64 eps -1/2) x)
(/.f64 (neg.f64 (*.f64 eps -1/2)) (neg.f64 x))
(/.f64 (*.f64 -1/2 (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 eps) -1/2) (neg.f64 x))
(/.f64 (/.f64 (*.f64 eps -1/2) 1) x)
(/.f64 (/.f64 (*.f64 eps -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 eps -1/2) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 (/.f64 eps x) -1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)
(pow.f64 (*.f64 -1/8 (pow.f64 (/.f64 eps x) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 (/.f64 eps x) 2)))
(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 eps x) -1/2))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 eps x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 eps x) -1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 eps x) -1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 eps x) -1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 eps x) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 eps x) -1/2 x))) 1)
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (/.f64 eps x) 1/2))) (/.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (+.f64 x (.f64 (/.f64 eps x) 1/2))))
(*.f64 (fma.f64 (/.f64 eps x) -1/2 x) 1)
(*.f64 1 (fma.f64 (/.f64 eps x) -1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 2) (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)))
(.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3))) (/.f64 1 (fma.f64 x x (.f64 (.f64 (/.f64 eps x) -1/2) (-.f64 (*.f64 (/.f64 eps x) -1/2) x)))))
(.f64 (-.f64 (.f64 x x) (.f64 1/4 (pow.f64 (/.f64 eps x) 2))) (/.f64 1 (+.f64 x (.f64 (/.f64 eps x) 1/2))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 (/.f64 eps x) -1/2) (-.f64 (.f64 (/.f64 eps x) -1/2) x))) (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3)))))
(/.f64 1 (/.f64 (+.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 (.f64 x x) (*.f64 1/4 (pow.f64 (/.f64 eps x) 2)))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3))) (fma.f64 x x (.f64 (.f64 (/.f64 eps x) -1/2) (-.f64 (.f64 (/.f64 eps x) -1/2) x))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3))) (+.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (-.f64 (.f64 x x) (.f64 x (*.f64 (/.f64 eps x) -1/2)))))
(/.f64 (-.f64 (.f64 x x) (.f64 1/4 (pow.f64 (/.f64 eps x) 2))) (+.f64 x (*.f64 (/.f64 eps x) 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3)))) (neg.f64 (fma.f64 x x (.f64 (.f64 (/.f64 eps x) -1/2) (-.f64 (.f64 (/.f64 eps x) -1/2) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 1/4 (pow.f64 (/.f64 eps x) 2)))) (neg.f64 (+.f64 x (*.f64 (/.f64 eps x) 1/2))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (.f64 x x)) (-.f64 (*.f64 (/.f64 eps x) -1/2) x))
(pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 2)
(pow.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 eps x) -1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 eps x) -1/2 x))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 eps x) -1/2 x)))
(exp.f64 (log.f64 (fma.f64 (/.f64 eps x) -1/2 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 eps x) -1/2 x)))
(fma.f64 (/.f64 eps x) -1/2 x)
(fma.f64 -1/2 (/.f64 eps x) x)
(fma.f64 1 x (*.f64 (/.f64 eps x) -1/2))
(fma.f64 1 (*.f64 (/.f64 eps x) -1/2) x)
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2))) (cbrt.f64 (.f64 (/.f64 eps x) -1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 eps x) -1/2))
(fma.f64 (sqrt.f64 (.f64 (/.f64 eps x) -1/2)) (sqrt.f64 (.f64 (/.f64 eps x) -1/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 eps (pow.f64 x -3))))) 1)
(*.f64 eps (/.f64 1 (/.f64 (pow.f64 x 3) eps)))
(.f64 eps (.f64 eps (pow.f64 x -3)))
(.f64 (/.f64 eps x) (/.f64 eps (.f64 x x)))
(.f64 (.f64 eps eps) (pow.f64 x -3))
(.f64 (.f64 eps (*.f64 eps (pow.f64 x -3))) 1)
(.f64 1 (.f64 eps (*.f64 eps (pow.f64 x -3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) 2) (/.f64 (pow.f64 (cbrt.f64 eps) 2) x))
(.f64 (cbrt.f64 (pow.f64 eps 4)) (.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 x -3)))
(*.f64 (/.f64 eps (pow.f64 x 3/2)) (/.f64 eps (pow.f64 x 3/2)))
(.f64 (.f64 eps (neg.f64 eps)) (/.f64 1 (neg.f64 (pow.f64 x 3))))
(.f64 (pow.f64 x -3) (.f64 eps eps))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 eps x) 2))
(.f64 (/.f64 eps (.f64 x x)) (/.f64 eps x))
(*.f64 (/.f64 eps 1) (/.f64 eps (pow.f64 x 3)))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (*.f64 eps eps) x))
(.f64 (/.f64 1 (pow.f64 x 3/2)) (/.f64 (.f64 eps eps) (pow.f64 x 3/2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) x) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 x 3)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 x 3/2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 x 3/2)))
(pow.f64 (.f64 eps (.f64 eps (pow.f64 x -3))) 1)
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) 3)
(pow.f64 (pow.f64 (.f64 eps (.f64 eps (pow.f64 x -3))) 3) 1/3)
(pow.f64 (/.f64 eps (pow.f64 x 3/2)) 2)
(pow.f64 (/.f64 x (pow.f64 (/.f64 eps x) 2)) -1)
(neg.f64 (/.f64 (*.f64 eps eps) (neg.f64 (pow.f64 x 3))))
(sqrt.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) (pow.f64 x -3)))
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(sqrt.f64 (*.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))))
(log.f64 (pow.f64 (exp.f64 1/8) (.f64 eps (.f64 eps (pow.f64 x -3)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(+.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) (.f64 (/.f64 eps x) 1/2))
(+.f64 (.f64 (/.f64 eps x) 1/2) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))
(+.f64 (.f64 (.f64 (/.f64 eps x) 1/2) 1) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))) 1)
(.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 1)
(.f64 1 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 2)) (cbrt.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) (sqrt.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 eps x) 1/2) 3) (pow.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 3)) (+.f64 (.f64 (.f64 (/.f64 eps x) 1/2) (.f64 (/.f64 eps x) 1/2)) (-.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (.f64 (.f64 (/.f64 eps x) 1/2) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 eps x) 1/2) (.f64 (/.f64 eps x) 1/2)) (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))) (-.f64 (.f64 (/.f64 eps x) 1/2) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(exp.f64 (log.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))

simplify201.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1282×	`log-prod`
1062×	`fma-neg`
726×	`associate-r`
564×	`fma-def`
558×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	677	18614
1	1692	18258
2	7027	18250

Stop Event

1×	node limit

Counts

602 → 406

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 3/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 -8 (/.f64 (pow.f64 x 3) eps))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))
(+.f64 (.f64 -256 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(+.f64 (.f64 -256 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1024 (pow.f64 x 9)) (.f64 -512 (pow.f64 x 9))) (pow.f64 eps 4))) (.f64 32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(*.f64 -8 (/.f64 (pow.f64 x 3) eps))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))
(+.f64 (.f64 -256 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(+.f64 (.f64 -256 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1024 (pow.f64 x 9)) (.f64 -512 (pow.f64 x 9))) (pow.f64 eps 4))) (.f64 32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(*.f64 -8 (/.f64 (pow.f64 x 3) eps))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))
(+.f64 (.f64 -256 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(+.f64 (.f64 -256 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (.f64 1536 (/.f64 (pow.f64 x 9) (pow.f64 eps 4))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (pow.f64 eps 4)) (.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
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(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 -1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (fma.f64 -1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))))
(exp.f64 (log.f64 (/.f64 eps (fma.f64 -1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (fma.f64 -1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (fma.f64 -1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 eps x) -1/2))) 1)
(/.f64 eps (/.f64 x -1/2))
(/.f64 -1/2 (/.f64 x eps))
(/.f64 1 (/.f64 x (*.f64 eps -1/2)))
(/.f64 (*.f64 eps -1/2) x)
(/.f64 (neg.f64 (*.f64 eps -1/2)) (neg.f64 x))
(/.f64 (*.f64 -1/2 (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 eps) -1/2) (neg.f64 x))
(/.f64 (/.f64 (*.f64 eps -1/2) 1) x)
(/.f64 (/.f64 (*.f64 eps -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 eps -1/2) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 (/.f64 eps x) -1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)
(pow.f64 (*.f64 -1/8 (pow.f64 (/.f64 eps x) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 (/.f64 eps x) 2)))
(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 eps x) -1/2))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 eps x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 eps x) -1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 eps x) -1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 eps x) -1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 eps x) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 eps (pow.f64 x -3))))) 1)
(*.f64 eps (/.f64 1 (/.f64 (pow.f64 x 3) eps)))
(.f64 eps (.f64 eps (pow.f64 x -3)))
(.f64 (/.f64 eps x) (/.f64 eps (.f64 x x)))
(.f64 (.f64 eps eps) (pow.f64 x -3))
(.f64 (.f64 eps (*.f64 eps (pow.f64 x -3))) 1)
(.f64 1 (.f64 eps (*.f64 eps (pow.f64 x -3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) 2) (/.f64 (pow.f64 (cbrt.f64 eps) 2) x))
(.f64 (cbrt.f64 (pow.f64 eps 4)) (.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 x -3)))
(*.f64 (/.f64 eps (pow.f64 x 3/2)) (/.f64 eps (pow.f64 x 3/2)))
(.f64 (.f64 eps (neg.f64 eps)) (/.f64 1 (neg.f64 (pow.f64 x 3))))
(.f64 (pow.f64 x -3) (.f64 eps eps))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 eps x) 2))
(.f64 (/.f64 eps (.f64 x x)) (/.f64 eps x))
(*.f64 (/.f64 eps 1) (/.f64 eps (pow.f64 x 3)))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (*.f64 eps eps) x))
(.f64 (/.f64 1 (pow.f64 x 3/2)) (/.f64 (.f64 eps eps) (pow.f64 x 3/2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) x) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 x 3)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 x 3/2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 x 3/2)))
(pow.f64 (.f64 eps (.f64 eps (pow.f64 x -3))) 1)
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) 3)
(pow.f64 (pow.f64 (.f64 eps (.f64 eps (pow.f64 x -3))) 3) 1/3)
(pow.f64 (/.f64 eps (pow.f64 x 3/2)) 2)
(pow.f64 (/.f64 x (pow.f64 (/.f64 eps x) 2)) -1)
(neg.f64 (/.f64 (*.f64 eps eps) (neg.f64 (pow.f64 x 3))))
(sqrt.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) (pow.f64 x -3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (.f64 eps (pow.f64 x -3))))))
(cbrt.f64 (pow.f64 (.f64 eps (.f64 eps (pow.f64 x -3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (pow.f64 x 3) 3)))
(expm1.f64 (log1p.f64 (.f64 eps (.f64 eps (pow.f64 x -3)))))
(exp.f64 (log.f64 (.f64 eps (.f64 eps (pow.f64 x -3)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (*.f64 eps (pow.f64 x -3)))) 1))
(log1p.f64 (expm1.f64 (.f64 eps (.f64 eps (pow.f64 x -3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) 1)
(/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8))
(/.f64 1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2)))
(/.f64 1 (/.f64 (pow.f64 x 3) (.f64 eps (.f64 eps 1/8))))
(/.f64 (.f64 eps (.f64 eps 1/8)) (pow.f64 x 3))
(/.f64 (neg.f64 (.f64 eps (.f64 eps 1/8))) (neg.f64 (pow.f64 x 3)))
(/.f64 (*.f64 eps 1/8) (/.f64 (pow.f64 x 3) eps))
(/.f64 (*.f64 1/8 eps) (/.f64 (pow.f64 x 3) eps))
(/.f64 (.f64 1/8 (.f64 eps (neg.f64 eps))) (neg.f64 (pow.f64 x 3)))
(/.f64 (.f64 (.f64 eps (neg.f64 eps)) 1/8) (neg.f64 (pow.f64 x 3)))
(/.f64 (/.f64 (.f64 eps (.f64 eps 1/8)) x) (*.f64 x x))
(/.f64 (/.f64 (.f64 eps (.f64 eps 1/8)) 1) (pow.f64 x 3))
(/.f64 (/.f64 (.f64 eps (.f64 eps 1/8)) (*.f64 x x)) x)
(/.f64 (/.f64 (.f64 eps (.f64 eps 1/8)) (pow.f64 x 3/2)) (pow.f64 x 3/2))
(pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 1)
(pow.f64 (*.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 1/8) (/.f64 eps (pow.f64 x 3/2))) 2)
(sqrt.f64 (*.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))))
(log.f64 (pow.f64 (exp.f64 1/8) (.f64 eps (.f64 eps (pow.f64 x -3)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(+.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) (.f64 (/.f64 eps x) 1/2))
(+.f64 (.f64 (/.f64 eps x) 1/2) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))
(+.f64 (.f64 (.f64 (/.f64 eps x) 1/2) 1) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))) 1)
(.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 1)
(.f64 1 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 2)) (cbrt.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) (sqrt.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 eps x) 1/2) 3) (pow.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 3)) (+.f64 (.f64 (.f64 (/.f64 eps x) 1/2) (.f64 (/.f64 eps x) 1/2)) (-.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (.f64 (.f64 (/.f64 eps x) 1/2) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 eps x) 1/2) (.f64 (/.f64 eps x) 1/2)) (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))) (-.f64 (.f64 (/.f64 eps x) 1/2) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(exp.f64 (log.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))

Outputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))))
(fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))))
(+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2))
(fma.f64 x -2 (/.f64 -8 (/.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(fma.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 x -2)))
(fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (fma.f64 x -2 (/.f64 -8 (/.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 x -2))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (fma.f64 x -2 (/.f64 -8 (/.f64 eps (pow.f64 x 3))))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2))
(fma.f64 x -2 (/.f64 -8 (/.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(fma.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 x -2)))
(fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (fma.f64 x -2 (/.f64 -8 (/.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 x -2))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (fma.f64 x -2 (/.f64 -8 (/.f64 eps (pow.f64 x 3))))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2))
(fma.f64 x -2 (/.f64 -8 (/.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(fma.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 x -2)))
(fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (fma.f64 x -2 (/.f64 -8 (/.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 x -2))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (fma.f64 x -2 (/.f64 -8 (/.f64 eps (pow.f64 x 3))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))))
(fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))))
(+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
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(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(/.f64 (*.f64 eps 1/8) (/.f64 (pow.f64 x 3) eps))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(/.f64 (*.f64 1/8 eps) (/.f64 (pow.f64 x 3) eps))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(/.f64 (.f64 1/8 (.f64 eps (neg.f64 eps))) (neg.f64 (pow.f64 x 3)))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(/.f64 (.f64 (.f64 eps (neg.f64 eps)) 1/8) (neg.f64 (pow.f64 x 3)))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(/.f64 (/.f64 (.f64 eps (.f64 eps 1/8)) x) (*.f64 x x))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(/.f64 (/.f64 (.f64 eps (.f64 eps 1/8)) 1) (pow.f64 x 3))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(/.f64 (/.f64 (.f64 eps (.f64 eps 1/8)) (*.f64 x x)) x)
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(/.f64 (/.f64 (.f64 eps (.f64 eps 1/8)) (pow.f64 x 3/2)) (pow.f64 x 3/2))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 1)
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(pow.f64 (*.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x)) 3)
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 3) 1/3)
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(pow.f64 (*.f64 (sqrt.f64 1/8) (/.f64 eps (pow.f64 x 3/2))) 2)
(pow.f64 (*.f64 (/.f64 eps (pow.f64 x 3/2)) (sqrt.f64 1/8)) 2)
(pow.f64 (/.f64 (sqrt.f64 1/8) (/.f64 (pow.f64 x 3/2) eps)) 2)
(sqrt.f64 (*.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))))
(log.f64 (pow.f64 (exp.f64 1/8) (.f64 eps (.f64 eps (pow.f64 x -3)))))
(.f64 (.f64 eps (*.f64 eps (pow.f64 x -3))) (log.f64 (exp.f64 1/8)))
(.f64 eps (.f64 (*.f64 eps (pow.f64 x -3)) 1/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 3))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 1))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))
(+.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) (.f64 (/.f64 eps x) 1/2))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(+.f64 (.f64 (/.f64 eps x) 1/2) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(+.f64 (.f64 (.f64 (/.f64 eps x) 1/2) 1) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))) 1)
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 1)
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(.f64 1 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 2)))
(.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (*.f64 eps 1/8))) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 2)) (cbrt.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 2)))
(.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (*.f64 eps 1/8))) 2)))
(.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) (sqrt.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 eps x) 1/2) 3) (pow.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 3)) (+.f64 (.f64 (.f64 (/.f64 eps x) 1/2) (.f64 (/.f64 eps x) 1/2)) (-.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (.f64 (.f64 (/.f64 eps x) 1/2) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 3) (.f64 (pow.f64 (/.f64 eps x) 3) 1/8)) (+.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (-.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (.f64 (/.f64 eps x) (.f64 1/2 (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) 1/8 (pow.f64 (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)) 3)) (-.f64 (fma.f64 1/4 (pow.f64 (/.f64 eps x) 2) (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))) (.f64 (/.f64 1/8 x) (*.f64 1/2 (pow.f64 (/.f64 eps x) 3)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) 1/8 (pow.f64 (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)) 3)) (-.f64 (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) (fma.f64 (/.f64 1/8 x) (.f64 1/2 (pow.f64 (/.f64 eps x) 3)) (*.f64 (pow.f64 (/.f64 eps x) 2) -1/4))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 eps x) 1/2) (.f64 (/.f64 eps x) 1/2)) (.f64 1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))) (-.f64 (.f64 (/.f64 eps x) 1/2) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(/.f64 (+.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (.f64 -1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))) (-.f64 (.f64 1/2 (/.f64 eps x)) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (/.f64 eps x) 2) (.f64 -1/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))) (fma.f64 1/2 (/.f64 eps x) (.f64 eps (*.f64 (/.f64 eps (pow.f64 x 3)) -1/8))))
(pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 1)
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) 3)
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 3) 1/3)
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) 2)
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 2))
(fabs.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8))))
(log.f64 (exp.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))) 3))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(exp.f64 (log.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))) 1))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 eps (pow.f64 x 3)) (.f64 eps 1/8)))

eval275.0ms (5.1%)

Compiler: Compiled 10154 to 5978 computations (41.1% saved)

prune120.0ms (2.2%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	471	8	479
Fresh	0	0	0
Picked	3	0	3
Done	3	7	10
Total	477	15	492

Accuracy

100.0%

Counts

492 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(pow.f64 (/.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) eps) -1)
	48.1%	(/.f64 eps (+.f64 (+.f64 (/.f64 -1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2))) (+.f64 x x)) (*.f64 (/.f64 eps x) -1/2)))
	49.4%	(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
✓	74.2%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	49.4%	(/.f64 eps (+.f64 x (+.f64 x (/.f64 -1/2 (/.f64 x eps)))))
✓	48.6%	(/.f64 eps (+.f64 x x))
	5.2%	(/.f64 eps (*.f64 (/.f64 eps x) -1/2))
✓	55.5%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	58.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	53.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.6%	(-.f64 x x)
	46.8%	(+.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) (.f64 (/.f64 eps x) 1/2))
✓	3.6%	(+.f64 x x)
	49.2%	(.f64 (/.f64 1 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))) eps)
	5.2%	(*.f64 x -2)

Compiler

Compiled 400 to 227 computations (43.3% saved)

regimes159.0ms (2.9%)

Counts

23 → 2

Calls

Call 1

Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(/.f64 eps (*.f64 (/.f64 eps x) -1/2))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
(/.f64 eps (+.f64 x (+.f64 x (/.f64 -1/2 (/.f64 x eps)))))
(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
(.f64 (/.f64 1 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))) eps)
(+.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) (.f64 (/.f64 eps x) 1/2))
(/.f64 eps (+.f64 (+.f64 (/.f64 -1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2))) (+.f64 x x)) (*.f64 (/.f64 eps x) -1/2)))
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(pow.f64 (/.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) eps) -1)
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8))
(/.f64 eps (+.f64 x (+.f64 x (fma.f64 (/.f64 eps x) -1/2 (/.f64 -1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps)))))))
(/.f64 eps (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))))
(/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3))

Outputs
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 eps (+.f64 (+.f64 (/.f64 -1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2))) (+.f64 x x)) (*.f64 (/.f64 eps x) -1/2)))

Calls

3 calls:

79.0ms	x
56.0ms	eps
19.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
90.6%	4	`x`
99.5%	2	`eps`
99.5%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 254 to 131 computations (48.4% saved)

regimes52.0ms (1%)

Counts

16 → 2

Calls

Call 1

Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(/.f64 eps (*.f64 (/.f64 eps x) -1/2))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
(/.f64 eps (+.f64 x (+.f64 x (/.f64 -1/2 (/.f64 x eps)))))
(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
(.f64 (/.f64 1 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))) eps)
(+.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) (.f64 (/.f64 eps x) 1/2))
(/.f64 eps (+.f64 (+.f64 (/.f64 -1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2))) (+.f64 x x)) (*.f64 (/.f64 eps x) -1/2)))
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))

Outputs
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
(/.f64 eps (+.f64 (+.f64 (/.f64 -1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2))) (+.f64 x x)) (*.f64 (/.f64 eps x) -1/2)))

Calls

2 calls:

33.0ms	eps
14.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
84.5%	4	`eps`
99.3%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 152 to 77 computations (49.3% saved)

regimes18.0ms (0.3%)

Counts

15 → 2

Calls

Call 1

Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(/.f64 eps (*.f64 (/.f64 eps x) -1/2))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
(/.f64 eps (+.f64 x (+.f64 x (/.f64 -1/2 (/.f64 x eps)))))
(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
(.f64 (/.f64 1 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))) eps)
(+.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) (.f64 (/.f64 eps x) 1/2))
(/.f64 eps (+.f64 (+.f64 (/.f64 -1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2))) (+.f64 x x)) (*.f64 (/.f64 eps x) -1/2)))

Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (+.f64 (+.f64 (/.f64 -1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2))) (+.f64 x x)) (*.f64 (/.f64 eps x) -1/2)))

Calls

1 calls:

15.0ms

(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
99.3%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 142 to 73 computations (48.6% saved)

regimes18.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(/.f64 eps (*.f64 (/.f64 eps x) -1/2))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
(/.f64 eps (+.f64 x (+.f64 x (/.f64 -1/2 (/.f64 x eps)))))
(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
(.f64 (/.f64 1 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))) eps)
(+.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) (.f64 (/.f64 eps x) 1/2))

Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) (.f64 (/.f64 eps x) 1/2))

Calls

1 calls:

13.0ms

(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 121 to 63 computations (47.9% saved)

regimes15.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (+.f64 x x))
(/.f64 eps (*.f64 (/.f64 eps x) -1/2))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
(/.f64 eps (+.f64 x (+.f64 x (/.f64 -1/2 (/.f64 x eps)))))
(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
(.f64 (/.f64 1 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))) eps)

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

Calls

1 calls:

12.0ms

(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 106 to 55 computations (48.1% saved)

regimes21.0ms (0.4%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
86.4%	2	`x`

Compiler

Compiled 69 to 35 computations (49.3% saved)

regimes14.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	eps
6.0ms	x

Results

Accuracy	Segments	Branch
49.4%	1	`eps`
49.4%	1	`x`

Compiler

Compiled 67 to 34 computations (49.3% saved)

regimes13.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	eps
5.0ms	x

Results

Accuracy	Segments	Branch
49.4%	1	`eps`
49.4%	1	`x`

Compiler

Compiled 56 to 28 computations (50% saved)

regimes11.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 eps (+.f64 x x))

Calls

2 calls:

5.0ms	eps
5.0ms	x

Results

Accuracy	Segments	Branch
48.6%	1	`eps`
48.6%	1	`x`

Compiler

Compiled 34 to 17 computations (50% saved)

regimes9.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
48.6%	1	`eps`
48.6%	1	`x`

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes9.0ms (0.2%)

Accuracy

Total -1.6b remaining (-2.6%)

Threshold costs -1.6b (-2.6%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)

Outputs
(*.f64 x -2)

Calls

2 calls:

5.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
5.2%	1	`eps`
5.2%	1	`x`

Compiler

Compiled 17 to 10 computations (41.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8891570598494744e-153	-2.5947596537989e-157

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8891570598494744e-153	-2.5947596537989e-157

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8891570598494744e-153	-2.5947596537989e-157

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8891570598494744e-153	-2.5947596537989e-157

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8891570598494744e-153	-2.5947596537989e-157

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch47.0ms (0.9%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	2.652164759090594e-100	3.2740903763015e-94

Results

40.0ms	115×	body	256	valid
4.0ms	29×	body	512	valid
1.0ms	13×	body	256	invalid

Compiler

Compiled 213 to 154 computations (27.7% saved)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative`
18×	`*-commutative`
16×	`sub-neg`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	679
1	82	679
2	94	679
3	101	679
4	104	679

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (+.f64 (/.f64 -1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2))) (+.f64 x x)) (.f64 (/.f64 eps x) -1/2))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 eps (+.f64 (+.f64 (/.f64 -1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2))) (+.f64 x x)) (.f64 (/.f64 eps x) -1/2))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (+.f64 (/.f64 -1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2))) (+.f64 x x)) (*.f64 (/.f64 eps x) -1/2))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) (.f64 (/.f64 eps x) 1/2)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))))
(if (<=.f64 x 6402826006914103/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))))
(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 x -2)

Outputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (+.f64 (/.f64 -1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2))) (+.f64 x x)) (.f64 (/.f64 eps x) -1/2))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 eps (+.f64 (+.f64 (/.f64 -1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2))) (+.f64 x x)) (.f64 (/.f64 eps x) -1/2))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (+.f64 (/.f64 -1/8 (/.f64 x (pow.f64 (/.f64 eps x) 2))) (+.f64 x x)) (*.f64 (/.f64 eps x) -1/2))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) (.f64 (/.f64 eps x) 1/2)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (.f64 (/.f64 eps x) -1/2) (.f64 x 2))))
(if (<=.f64 x 6402826006914103/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))))
(if (<=.f64 x 6402826006914103/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (.f64 (/.f64 eps x) -1/2) (.f64 x 2))))
(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
(/.f64 eps (+.f64 (.f64 (/.f64 eps x) -1/2) (.f64 x 2)))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
(/.f64 eps (+.f64 x x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(*.f64 x -2)

Compiler

Compiled 261 to 151 computations (42.1% saved)

soundness1.6s (29.2%)

Rules

1282×	`log-prod`
1062×	`fma-neg`
1034×	`fma-def`
1034×	`fma-def`
938×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	201	53
2	2888	49
0	568	8325
1	1334	7717
2	4105	7617
0	617	8416
1	1514	7268
2	5436	7058
0	24	303
1	536	291
2	7150	291
0	617	8416
1	1514	7268
2	5436	7058
0	677	18614
1	1692	18258
2	7027	18250
0	568	8325
1	1334	7717
2	4105	7617
0	617	8416
1	1514	7268
2	5436	7058
0	24	303
1	536	291
2	7150	291
0	9	53
1	201	53
2	2888	49

Stop Event

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

Compiler

Compiled 1687 to 1016 computations (39.8% saved)

end0.0ms (0%)

preprocess152.0ms (2.8%)

Compiler: Compiled 526 to 226 computations (57% saved)

Iter	Nodes	Cost
0	22	123
1	51	115
2	108	115
3	286	115
4	593	115
5	837	115
6	932	115
7	961	115
8	967	115

Iter	Nodes	Cost
0	22	123
1	51	115
2	108	115
3	286	115
4	593	115
5	837	115
6	932	115
7	961	115
8	967	115

analyze14.0ms (0.3%)

sample1.2s (22.6%)

preprocess43.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize38.0ms (0.7%)

series6.0ms (0.1%)

rewrite95.0ms (1.8%)

simplify122.0ms (2.3%)

eval103.0ms (1.9%)

prune61.0ms (1.1%)

localize60.0ms (1.1%)

series23.0ms (0.4%)

rewrite88.0ms (1.6%)

simplify124.0ms (2.3%)

eval103.0ms (1.9%)

prune76.0ms (1.4%)

localize161.0ms (3%)

eval0.0ms (0%)

prune11.0ms (0.2%)

localize162.0ms (3%)

series20.0ms (0.4%)

rewrite144.0ms (2.7%)

simplify201.0ms (3.7%)

eval275.0ms (5.1%)

prune120.0ms (2.2%)

regimes159.0ms (2.9%)

regimes52.0ms (1%)

regimes18.0ms (0.3%)

regimes18.0ms (0.3%)

regimes15.0ms (0.3%)

regimes21.0ms (0.4%)

regimes14.0ms (0.3%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch47.0ms (0.9%)

simplify17.0ms (0.3%)

soundness1.6s (29.2%)

end0.0ms (0%)

preprocess152.0ms (2.8%)

Profiling

Iter	Nodes	Cost
0	22	123
1	51	115
2	108	115
3	286	115
4	593	115
5	837	115
6	932	115
7	961	115
8	967	115