Metrics for ENA, Section 1.4, Exercise 4d

analyze16.0ms (0.2%)

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)

sample2.0s (21.2%)

Results

1.1s	5935×	body	256	valid
433.0ms	1122×	body	1024	valid
330.0ms	1159×	body	512	valid
23.0ms	176×	body	256	invalid
19.0ms	40×	body	2048	valid

Bogosity

preprocess116.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Problems

164×	No Errors
92×	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

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 37 to 13 computations (64.9% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.3%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	67.3%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize36.0ms (0.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x x) eps)
✓	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	67.3%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series7.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

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

rewrite97.0ms (1%)

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)))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.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)))))
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(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 eps) 1 eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (neg.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 (neg.f64 eps) 1))
(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))

simplify128.0ms (1.4%)

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	1335	7717
2	4098	7617

Stop Event

1×	node limit

Counts

309 → 365

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 (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 -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 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)))))
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(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 3/4) (+.f64 (neg.f64 eps) eps))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 eps))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 (neg.f64 eps) 1))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (fma.f64 (neg.f64 eps) 1 eps))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (+.f64 (neg.f64 eps) eps))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (/.f64 1 (fma.f64 x x eps)) (fma.f64 (neg.f64 eps) 1 eps))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (/.f64 1 (fma.f64 x x eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (/.f64 1 (fma.f64 x x eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 eps)) 2) (cbrt.f64 (neg.f64 eps)) (*.f64 x x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 eps))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 (neg.f64 eps) 1))
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (fma.f64 (neg.f64 eps) 1 eps))
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (+.f64 (neg.f64 eps) eps))
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (*.f64 x x))
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 x x))
(fma.f64 -1 eps (*.f64 x x))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 eps) 1 eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (neg.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 (neg.f64 eps) 1))
(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))

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

eval125.0ms (1.3%)

Compiler: Compiled 6562 to 2758 computations (58% saved)

prune82.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	354	11	365
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	354	12	366

Accuracy

99.8%

Counts

366 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	38.5%	(/.f64 1/2 (/.f64 x eps))
▶	65.2%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
▶	6.5%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
	67.3%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
	67.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 3/2)) eps)))
✓	67.3%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	63.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	4.2%	(-.f64 x x)
▶	3.5%	(+.f64 x x)
	66.8%	(.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)))
▶	38.7%	(*.f64 1/2 (/.f64 eps x))
▶	77.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	38.5%	(/.f64 1/2 (/.f64 x eps))
▶	65.2%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
▶	6.5%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
	67.3%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
	67.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 3/2)) eps)))
✓	67.3%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	63.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	4.2%	(-.f64 x x)
▶	3.5%	(+.f64 x x)
	66.8%	(.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)))
▶	38.7%	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 452 to 284 computations (37.2% saved)

localize94.0ms (1%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
✓	87.1%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	100.0%	(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
✓	87.1%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
✓	100.0%	(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
✓	100.0%	(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓	99.4%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

Compiler

Compiled 92 to 25 computations (72.8% saved)

series44.0ms (0.5%)

Counts

7 → 94

Calls

42 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
4.0ms	eps	@	-inf	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
3.0ms	eps	@	inf	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
3.0ms	eps	@	-inf	(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
2.0ms	eps	@	0	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))

rewrite140.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`fma-def`
648×	`expm1-udef`
646×	`log1p-udef`
424×	`add-sqr-sqrt`
412×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	143
1	396	113
2	6286	113

Stop Event

1×	node limit

Counts

7 → 391

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

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

simplify257.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

938×	`fma-def`
710×	`associate-r`
576×	`associate-l`
520×	`times-frac`
472×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	804	19645
1	2029	15801

Stop Event

1×	node limit

Counts

485 → 576

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

eval204.0ms (2.2%)

Compiler: Compiled 12460 to 6096 computations (51.1% saved)

prune103.0ms (1.1%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	574	2	576
Fresh	1	5	6
Picked	0	5	5
Done	0	1	1
Total	575	13	588

Accuracy

99.9%

Counts

588 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.3%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
✓	77.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	38.5%	(/.f64 1/2 (/.f64 x eps))
✓	65.2%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	6.5%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
▶	5.4%	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
▶	67.3%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	67.3%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	63.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	4.2%	(-.f64 x x)
✓	3.5%	(+.f64 x x)
	66.8%	(.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)))
✓	38.7%	(*.f64 1/2 (/.f64 eps x))
	39.3%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
✓	77.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	38.5%	(/.f64 1/2 (/.f64 x eps))
✓	65.2%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	6.5%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
▶	5.4%	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
▶	67.3%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	67.3%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	63.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	4.2%	(-.f64 x x)
✓	3.5%	(+.f64 x x)
	66.8%	(.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)))
✓	38.7%	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 398 to 248 computations (37.7% saved)

localize113.0ms (1.2%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	100.0%	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
✓	99.6%	(/.f64 1/2 (/.f64 x eps))
✓	100.0%	(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
✓	87.1%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))

Compiler

Compiled 71 to 21 computations (70.4% saved)

series8.0ms (0.1%)

Counts

5 → 93

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	-inf	(/.f64 1/2 (/.f64 x eps))
0.0ms	eps	@	inf	(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms	eps	@	inf	(/.f64 1/2 (/.f64 x eps))
0.0ms	eps	@	-inf	(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms	eps	@	0	(-.f64 x (sqrt.f64 (neg.f64 eps)))

rewrite115.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`fma-def`
674×	`expm1-udef`
672×	`log1p-udef`
442×	`add-sqr-sqrt`
428×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	87
1	429	71
2	6281	67

Stop Event

1×	node limit

Counts

5 → 338

Calls

Call 1

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

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

simplify301.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

958×	`fma-neg`
800×	`fma-def`
618×	`log-prod`
430×	`associate-r`
408×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	648	11909
1	1519	11173
2	5028	10731

Stop Event

1×	node limit

Counts

431 → 492

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

Outputs
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)))
(*.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 (.f64 -1/2 (sqrt.f64 (/.f64 1 eps))) (/.f64 (.f64 x x) (sqrt.f64 -1)))))
(+.f64 x (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x)))) (*.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 1/8 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (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 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
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(fma.f64 (-.f64 x (sqrt.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 eps)))))
(fma.f64 (-.f64 x (sqrt.f64 eps)) 1 (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4))))
(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 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 eps)))))
(fma.f64 1 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4))))
(fma.f64 1 (neg.f64 (sqrt.f64 eps)) x)
(-.f64 x (sqrt.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 (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 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (cbrt.f64 eps) (cbrt.f64 (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 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4))))
(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 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (cbrt.f64 eps) (cbrt.f64 (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 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4))))
(fma.f64 (cbrt.f64 eps) (neg.f64 (cbrt.f64 (sqrt.f64 eps))) x)
(fma.f64 (neg.f64 (cbrt.f64 eps)) (cbrt.f64 (sqrt.f64 eps)) x)
(fma.f64 (pow.f64 eps 1/4) (neg.f64 (pow.f64 eps 1/4)) x)
(-.f64 x (*.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4)))
(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 (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 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (cbrt.f64 eps) (cbrt.f64 (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 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (*.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4))))
(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 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (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 (cbrt.f64 eps) (cbrt.f64 (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))))
(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 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (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 1/4) (pow.f64 eps 1/4))) (/.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 (cbrt.f64 eps)) (cbrt.f64 (sqrt.f64 eps)) x)
(fma.f64 (cbrt.f64 eps) (neg.f64 (cbrt.f64 (sqrt.f64 eps))) x)
(fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) x)
(fma.f64 (pow.f64 eps 1/4) (neg.f64 (pow.f64 eps 1/4)) x)
(-.f64 x (*.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4)))
(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 (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 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 (cbrt.f64 (sqrt.f64 eps))) (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 (cbrt.f64 eps) (cbrt.f64 (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 1/4)) (pow.f64 eps 1/4) (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 1/4) (pow.f64 eps 1/4))))

eval153.0ms (1.6%)

Compiler: Compiled 8511 to 4047 computations (52.4% saved)

prune91.0ms (1%)

Pruning

15 alts after pruning (4 fresh and 11 done)

	Pruned	Kept	Total
New	490	2	492
Fresh	0	2	2
Picked	0	5	5
Done	0	6	6
Total	490	15	505

Accuracy

99.9%

Counts

505 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.3%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
✓	77.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	38.5%	(/.f64 1/2 (/.f64 x eps))
✓	65.2%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	6.5%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
✓	5.4%	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
✓	67.3%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	67.3%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	63.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.2%	(-.f64 x x)
▶	5.4%	(+.f64 (*.f64 eps (/.f64 1/2 x)) x)
✓	3.5%	(+.f64 x x)
▶	38.5%	(*.f64 (/.f64 1/2 x) eps)
▶	66.8%	(.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)))
✓	38.7%	(*.f64 1/2 (/.f64 eps x))
▶	39.3%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
✓	77.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	38.5%	(/.f64 1/2 (/.f64 x eps))
✓	65.2%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	6.5%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
✓	5.4%	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
✓	67.3%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	67.3%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	63.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.2%	(-.f64 x x)
▶	5.4%	(+.f64 (*.f64 eps (/.f64 1/2 x)) x)
✓	3.5%	(+.f64 x x)
▶	38.5%	(*.f64 (/.f64 1/2 x) eps)
▶	66.8%	(.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)))
✓	38.7%	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 284 to 180 computations (36.6% saved)

localize183.0ms (2%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))
✓	99.9%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
✓	100.0%	(+.f64 (*.f64 eps (/.f64 1/2 x)) x)
✓	99.5%	(*.f64 eps (/.f64 1/2 x))
✓	99.5%	(*.f64 (/.f64 1/2 x) eps)
✓	100.0%	(+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
✓	99.9%	(pow.f64 (-.f64 (*.f64 x x) eps) 1/4)
✓	99.2%	(.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)))
✓	67.2%	(-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))

Compiler

Compiled 123 to 52 computations (57.7% saved)

series55.0ms (0.6%)

Counts

9 → 183

Calls

54 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	-inf	(.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)))
7.0ms	x	@	-inf	(.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)))
3.0ms	x	@	0	(pow.f64 (-.f64 (*.f64 x x) eps) 1/4)
2.0ms	x	@	inf	(pow.f64 (-.f64 (*.f64 x x) eps) 1/4)
2.0ms	eps	@	inf	(.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)))

rewrite178.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`expm1-udef`
544×	`add-sqr-sqrt`
532×	`pow1`
530×	`*-un-lft-identity`
508×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	229
1	558	189
2	7440	189

Stop Event

1×	node limit

Counts

9 → 281

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(.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)))
(pow.f64 (-.f64 (*.f64 x x) eps) 1/4)
(+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(*.f64 (/.f64 1/2 x) eps)
(*.f64 eps (/.f64 1/2 x))
(+.f64 (*.f64 eps (/.f64 1/2 x)) x)
(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))

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

simplify202.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1300×	`fma-def`
1118×	`times-frac`
838×	`distribute-rgt-in`
820×	`distribute-lft-in`
610×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	916	22182
1	2599	20866

Stop Event

1×	node limit

Counts

464 → 532

Calls

Call 1

Inputs
(.f64 -1 (pow.f64 (.f64 -1 eps) 1/4))
(-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (+.f64 (sqrt.f64 x) (.f64 1/4 (.f64 (pow.f64 1 1/4) (*.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (.f64 3/32 (.f64 (pow.f64 1 1/4) (.f64 (pow.f64 eps 2) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (.f64 1/4 (.f64 (pow.f64 1 1/4) (.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (.f64 7/128 (.f64 (pow.f64 1 1/4) (.f64 (pow.f64 eps 3) (sqrt.f64 (/.f64 1 (pow.f64 x 11)))))) (+.f64 (.f64 3/32 (.f64 (pow.f64 1 1/4) (.f64 (pow.f64 eps 2) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (.f64 1/4 (.f64 (pow.f64 1 1/4) (*.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (+.f64 (sqrt.f64 x) (.f64 1/4 (/.f64 (.f64 (pow.f64 x 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps))))))) eps))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4)))) (pow.f64 eps 2))) (.f64 1/4 (/.f64 (.f64 (pow.f64 x 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps))))))) eps)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4)))) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (.f64 -1/12 (pow.f64 x 6)) (+.f64 (.f64 -1/384 (pow.f64 x 6)) (.f64 1/32 (pow.f64 x 6))))) (pow.f64 eps 3))) (.f64 1/4 (/.f64 (.f64 (pow.f64 x 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps))))))) eps))))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))
(-.f64 (+.f64 (sqrt.f64 x) (.f64 1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2)))) (pow.f64 (/.f64 -1 eps) -1/4))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))))) (.f64 1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2))))) (pow.f64 (/.f64 -1 eps) -1/4))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2))) (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 11)) 1/4) (+.f64 (.f64 -1/32 (pow.f64 x 6)) (+.f64 (.f64 1/384 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 6)))))))) (pow.f64 (/.f64 -1 eps) -1/4))
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)))
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(.f64 (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps))))))))) eps)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 x 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)))) eps)) (.f64 (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (.f64 (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))))) (pow.f64 eps 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps))))))))) eps)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2)) (pow.f64 eps 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 x 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)))) eps)) (+.f64 (.f64 (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))))) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps))))))))) (pow.f64 eps 2)))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (.f64 (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))))) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (.f64 (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (+.f64 (.f64 -1/12 (pow.f64 x 6)) (+.f64 (.f64 -1/384 (pow.f64 x 6)) (.f64 1/32 (pow.f64 x 6)))))) (pow.f64 eps 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps))))))))) eps)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2)) (pow.f64 eps 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 x 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)))) eps)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))))) (pow.f64 eps 3))) (+.f64 (.f64 (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps))))))))) (pow.f64 eps 2)) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (.f64 (+.f64 (.f64 -1/12 (pow.f64 x 6)) (+.f64 (.f64 -1/384 (pow.f64 x 6)) (.f64 1/32 (pow.f64 x 6)))) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps))))))))) (pow.f64 eps 3))))))))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))))) (.f64 1/4 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)))))) eps)) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))))) (.f64 1/4 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)))))) eps)) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (+.f64 (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))) (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (+.f64 (.f64 -1/32 (pow.f64 x 6)) (+.f64 (.f64 1/384 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 6))))))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))))))) (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (+.f64 (.f64 -1/32 (pow.f64 x 6)) (+.f64 (.f64 1/384 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 6)))) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)))))) (pow.f64 eps 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))))) (.f64 1/4 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)))))) eps)) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (+.f64 (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))) (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)))))))))
(pow.f64 (*.f64 -1 eps) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2))) (pow.f64 (*.f64 -1 eps) 1/4))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (pow.f64 x 4))) (pow.f64 (*.f64 -1 eps) 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (pow.f64 x 4))) (+.f64 (.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 11)) 1/4) (pow.f64 x 6))) (pow.f64 (*.f64 -1 eps) 1/4))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 -1/4 (.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/4 (.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 -1/8 (pow.f64 eps 2)) (*.f64 1/32 (pow.f64 eps 2))))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/4 (.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 -1/8 (pow.f64 eps 2)) (.f64 1/32 (pow.f64 eps 2)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 11))) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (+.f64 (.f64 -1/384 (pow.f64 eps 3)) (*.f64 1/32 (pow.f64 eps 3))))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 -1))
(+.f64 (.f64 -1/4 (.f64 (.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(+.f64 (.f64 -1/4 (.f64 (.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 -1)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (pow.f64 eps 2)) (.f64 1/32 (pow.f64 eps 2)))))))
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(*.f64 (pow.f64 1 1/4) (sqrt.f64 x))
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(/.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (.f64 x x) eps) 1/4)))) (sqrt.f64 (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/8)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(exp.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (.f64 x x) eps) 1/4))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(fma.f64 1 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(fma.f64 1 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/8) (pow.f64 (-.f64 (.f64 x x) eps) 1/8) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x)))) 1)
(/.f64 eps (*.f64 x 2))
(/.f64 1/2 (/.f64 x eps))
(/.f64 1 (/.f64 x (*.f64 eps 1/2)))
(/.f64 (*.f64 eps 1/2) x)
(/.f64 (*.f64 eps -1/2) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 eps 1/2)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 eps 1/2) (sqrt.f64 x)) (sqrt.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))
(pow.f64 (*.f64 eps (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 1/2 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x))))
(exp.f64 (log.f64 (*.f64 eps (/.f64 1/2 x))))
(exp.f64 (.f64 (log.f64 (.f64 eps (/.f64 1/2 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x)))) 1)
(/.f64 eps (*.f64 x 2))
(/.f64 1/2 (/.f64 x eps))
(/.f64 1 (/.f64 x (*.f64 eps 1/2)))
(/.f64 (*.f64 eps 1/2) x)
(/.f64 (*.f64 eps -1/2) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 eps 1/2)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 eps 1/2) (sqrt.f64 x)) (sqrt.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))
(pow.f64 (*.f64 eps (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 1/2 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x))))
(exp.f64 (log.f64 (*.f64 eps (/.f64 1/2 x))))
(exp.f64 (.f64 (log.f64 (.f64 eps (/.f64 1/2 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (/.f64 1/2 x) x))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 2) (fma.f64 eps (/.f64 1/2 x) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 eps (/.f64 1/2 x) (neg.f64 x))))
(*.f64 (fma.f64 eps (/.f64 1/2 x) x) 1)
(*.f64 1 (fma.f64 eps (/.f64 1/2 x) x))
(*.f64 (cbrt.f64 (fma.f64 eps (/.f64 1/2 x) x)) (cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 1/2 x) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 1/2 x) x) 2)) (cbrt.f64 (fma.f64 eps (/.f64 1/2 x) x)))
(*.f64 (sqrt.f64 (fma.f64 eps (/.f64 1/2 x) x)) (sqrt.f64 (fma.f64 eps (/.f64 1/2 x) x)))
(.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 2) (.f64 x (-.f64 x (*.f64 eps (/.f64 1/2 x)))))))
(.f64 (-.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 eps (/.f64 1/2 x) (neg.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 2) (.f64 x (-.f64 x (.f64 eps (/.f64 1/2 x))))) (+.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 eps (/.f64 1/2 x) (neg.f64 x)) (-.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 2) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 2) (.f64 x (-.f64 x (.f64 eps (/.f64 1/2 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 2) (.f64 x (*.f64 eps (/.f64 1/2 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 2) (.f64 x x)) (fma.f64 eps (/.f64 1/2 x) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 2) (.f64 x (-.f64 x (.f64 eps (/.f64 1/2 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 2) (.f64 x x))) (neg.f64 (fma.f64 eps (/.f64 1/2 x) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 eps (/.f64 1/2 x)) 2)) (-.f64 x (*.f64 eps (/.f64 1/2 x))))
(pow.f64 (fma.f64 eps (/.f64 1/2 x) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 1/2 x) x)) 3)
(pow.f64 (pow.f64 (fma.f64 eps (/.f64 1/2 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 eps (/.f64 1/2 x) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 eps (/.f64 1/2 x) x) 2))
(log.f64 (exp.f64 (fma.f64 eps (/.f64 1/2 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (/.f64 1/2 x) x))))
(cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 1/2 x) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (/.f64 1/2 x) x)))
(exp.f64 (log.f64 (fma.f64 eps (/.f64 1/2 x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (/.f64 1/2 x) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (/.f64 1/2 x) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps (/.f64 1/2 x)))
(fma.f64 eps (/.f64 1/2 x) x)
(fma.f64 (/.f64 1/2 x) eps x)
(fma.f64 1 x (*.f64 eps (/.f64 1/2 x)))
(fma.f64 1 (*.f64 eps (/.f64 1/2 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (/.f64 1/2 x))) 2) (cbrt.f64 (.f64 eps (/.f64 1/2 x))) x)
(fma.f64 (sqrt.f64 (.f64 eps (/.f64 1/2 x))) (sqrt.f64 (.f64 eps (/.f64 1/2 x))) x)
(-.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 (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 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.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 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (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)))))
(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 (.f64 (/.f64 eps x) -1/2) (.f64 x 2))
(+.f64 (.f64 x 2) (.f64 (/.f64 eps x) -1/2))
(+.f64 (.f64 (.f64 x 2) 1) (*.f64 (/.f64 eps x) -1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))) 1)
(.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 (.f64 x 2) 3) (pow.f64 (.f64 (/.f64 eps x) -1/2) 3)) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (-.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (.f64 (.f64 x 2) (*.f64 (/.f64 eps x) -1/2)))))
(/.f64 (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 1/4 (pow.f64 (/.f64 eps x) 2))) (-.f64 (.f64 x 2) (.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))))

Outputs
(.f64 -1 (pow.f64 (.f64 -1 eps) 1/4))
(neg.f64 (pow.f64 (neg.f64 eps) 1/4))
(-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) 1/4))
(-.f64 (+.f64 (sqrt.f64 x) (.f64 1/4 (.f64 (pow.f64 1 1/4) (*.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (pow.f64 (pow.f64 x 2) 1/4))
(+.f64 (sqrt.f64 x) (-.f64 (.f64 1/4 (.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 (*.f64 x x) 1/4)))
(-.f64 (fma.f64 1/4 (.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (sqrt.f64 x)) (pow.f64 (.f64 x x) 1/4))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (.f64 3/32 (.f64 (pow.f64 1 1/4) (.f64 (pow.f64 eps 2) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (.f64 1/4 (.f64 (pow.f64 1 1/4) (.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (pow.f64 (pow.f64 x 2) 1/4))
(+.f64 (sqrt.f64 x) (-.f64 (+.f64 (.f64 1/4 (.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 3/32 (.f64 (.f64 eps eps) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (pow.f64 (.f64 x x) 1/4)))
(+.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/4 (.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/32 (.f64 (.f64 eps eps) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (pow.f64 (*.f64 x x) 1/4)))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (.f64 7/128 (.f64 (pow.f64 1 1/4) (.f64 (pow.f64 eps 3) (sqrt.f64 (/.f64 1 (pow.f64 x 11)))))) (+.f64 (.f64 3/32 (.f64 (pow.f64 1 1/4) (.f64 (pow.f64 eps 2) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (.f64 1/4 (.f64 (pow.f64 1 1/4) (*.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))) (pow.f64 (pow.f64 x 2) 1/4))
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(pow.f64 (*.f64 -1 eps) 1/4)
(pow.f64 (neg.f64 eps) 1/4)
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(sqrt.f64 x)
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(fma.f64 (*.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) -1/4 (sqrt.f64 x))
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(*.f64 (sqrt.f64 x) (sqrt.f64 -1))
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(*.f64 (pow.f64 1 1/4) (sqrt.f64 x))
(sqrt.f64 x)
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(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps)))
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(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (.f64 -1/2 (/.f64 eps x))) 2)) (cbrt.f64 (fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 2)) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(.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 (cbrt.f64 (pow.f64 (fma.f64 x 2 (.f64 -1/2 (/.f64 eps x))) 2)) (cbrt.f64 (fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))) 2)) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))))
(.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))))
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (.f64 x 2) 3) (pow.f64 (.f64 (/.f64 eps x) -1/2) 3)) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (-.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (.f64 (.f64 x 2) (*.f64 (/.f64 eps x) -1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (/.f64 eps x) 3) -1/8)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (.f64 (.f64 (.f64 x 2) (/.f64 eps x)) -1/2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (/.f64 -1/2 (/.f64 x eps)) 3)) (fma.f64 (.f64 x x) 4 (fma.f64 1/4 (pow.f64 (/.f64 eps x) 2) (.f64 (*.f64 x -2) (/.f64 -1/2 (/.f64 x eps))))))
(/.f64 (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 1/4 (pow.f64 (/.f64 eps x) 2))) (-.f64 (.f64 x 2) (.f64 (/.f64 eps x) -1/2)))
(/.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 -1/4 (pow.f64 (/.f64 eps x) 2))) (-.f64 (.f64 x 2) (*.f64 -1/2 (/.f64 eps x))))
(/.f64 (fma.f64 (.f64 x x) 4 (.f64 -1/4 (pow.f64 (/.f64 eps x) 2))) (fma.f64 x 2 (/.f64 1/2 (/.f64 x eps))))
(pow.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) 1)
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(pow.f64 (cbrt.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))) 3)
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(pow.f64 (pow.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) 3) 1/3)
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(pow.f64 (sqrt.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))) 2)
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(sqrt.f64 (pow.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x))) 2))
(fabs.f64 (fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps))))
(log.f64 (exp.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))))
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) 3))
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(exp.f64 (log.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(exp.f64 (.f64 (log.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2))) 1))
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))))
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))

eval960.0ms (10.3%)

Compiler: Compiled 21444 to 12147 computations (43.4% saved)

prune111.0ms (1.2%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	598	6	604
Fresh	0	0	0
Picked	3	1	4
Done	4	7	11
Total	605	14	619

Accuracy

100.0%

Counts

619 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (+.f64 0 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	5.1%	(/.f64 eps (/.f64 -1/2 (/.f64 x eps)))
	39.3%	(/.f64 eps (+.f64 (.f64 (/.f64 eps x) -1/2) (.f64 x 2)))
	5.1%	(/.f64 eps (*.f64 -1/2 (/.f64 eps x)))
✓	38.5%	(/.f64 1/2 (/.f64 x eps))
✓	6.5%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
✓	5.4%	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
✓	67.3%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	63.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.2%	(-.f64 x x)
✓	38.5%	(*.f64 (/.f64 1/2 x) eps)
	5.1%	(*.f64 x -2)
✓	38.7%	(*.f64 1/2 (/.f64 eps x))
	3.6%	x

Compiler

Compiled 282 to 154 computations (45.4% saved)

regimes40.0ms (0.4%)

Counts

22 → 1

Calls

Call 1

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

Outputs
(/.f64 (+.f64 0 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

Calls

3 calls:

12.0ms	eps
11.0ms	x
11.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`
99.4%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 182 to 86 computations (52.7% saved)

regimes128.0ms (1.4%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

3 calls:

63.0ms	x
44.0ms	eps
18.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
93.1%	2	`x`
86.7%	2	`eps`
99.3%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 114 to 60 computations (47.4% saved)

regimes86.0ms (0.9%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

83.0ms

Results

Accuracy	Segments	Branch
92.1%	2	`x`

Compiler

Compiled 83 to 43 computations (48.2% saved)

regimes53.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	eps
8.0ms	x

Results

Accuracy	Segments	Branch
39.3%	1	`eps`
39.3%	1	`x`

Compiler

Compiled 81 to 42 computations (48.1% saved)

regimes21.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
8.0ms	eps

Results

Accuracy	Segments	Branch
38.7%	1	`eps`
38.7%	1	`x`

Compiler

Compiled 70 to 36 computations (48.6% saved)

regimes129.0ms (1.4%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 x -2)

Calls

2 calls:

123.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
5.1%	1	`x`
5.1%	1	`eps`

Compiler

Compiled 18 to 10 computations (44.4% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
3.6%	1	`eps`
3.6%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.845346940921293e-154	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.8046608157969384e-92	9.467853827397403e-88

Results

11.0ms	103×	body	256	valid
4.0ms	25×	body	512	valid
1.0ms	7×	body	256	invalid

Compiler

Compiled 191 to 138 computations (27.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	221
1	52	221
2	64	221
3	73	221
4	78	221

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 0 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (.f64 (/.f64 eps x) -1/2) (.f64 x 2))))
(if (<=.f64 x 1612616214368019/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (.f64 (/.f64 eps x) -1/2) (.f64 x 2))))
(/.f64 eps (+.f64 (.f64 (/.f64 eps x) -1/2) (.f64 x 2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 x -2)
x

Outputs
(/.f64 (+.f64 0 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (.f64 (/.f64 eps x) -1/2) (.f64 x 2))))
(if (<=.f64 x 1612616214368019/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (.f64 (/.f64 eps x) -1/2) (.f64 x 2))))
(/.f64 eps (+.f64 (.f64 (/.f64 eps x) -1/2) (.f64 x 2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(*.f64 x -2)
x

Compiler

Compiled 94 to 58 computations (38.3% saved)

soundness2.8s (30.6%)

Rules

1564×	`fma-def`
1300×	`fma-def`
1300×	`fma-def`
1118×	`times-frac`
1118×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	201	53
2	2888	49
0	25	229
1	558	189
2	7440	189
0	916	22182
1	2599	20866
0	804	19645
1	2029	15801
0	19	87
1	429	71
2	6281	67
0	9	53
1	201	53
2	2888	49
0	568	8325
1	1335	7717
2	4098	7617
0	804	19645
1	2029	15801
0	916	22182
1	2599	20866
0	25	229
1	558	189
2	7440	189
0	568	8325
1	1335	7717
2	4098	7617

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
1×	node limit

Compiler

Compiled 1286 to 509 computations (60.4% saved)

end0.0ms (0%)

preprocess66.0ms (0.7%)

Compiler: Compiled 208 to 106 computations (49% 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

analyze16.0ms (0.2%)

sample2.0s (21.2%)

preprocess116.0ms (1.3%)

eval0.0ms (0%)

prune2.0ms (0%)

localize36.0ms (0.4%)

series7.0ms (0.1%)

rewrite97.0ms (1%)

simplify128.0ms (1.4%)

eval125.0ms (1.3%)

prune82.0ms (0.9%)

localize94.0ms (1%)

series44.0ms (0.5%)

rewrite140.0ms (1.5%)

simplify257.0ms (2.8%)

eval204.0ms (2.2%)

prune103.0ms (1.1%)

localize113.0ms (1.2%)

series8.0ms (0.1%)

rewrite115.0ms (1.2%)

simplify301.0ms (3.2%)

eval153.0ms (1.6%)

prune91.0ms (1%)

localize183.0ms (2%)

series55.0ms (0.6%)

rewrite178.0ms (1.9%)

simplify202.0ms (2.2%)

eval960.0ms (10.3%)

prune111.0ms (1.2%)

regimes40.0ms (0.4%)

regimes128.0ms (1.4%)

regimes86.0ms (0.9%)

regimes53.0ms (0.6%)

regimes21.0ms (0.2%)

regimes129.0ms (1.4%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch17.0ms (0.2%)

simplify10.0ms (0.1%)

soundness2.8s (30.6%)

end0.0ms (0%)

preprocess66.0ms (0.7%)

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