Details

analyze1.6s (8.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.3%	74.7%	0%	0%	0%	0
0%	0%	49.9%	50.1%	0%	0%	0%	1
0%	0%	98.4%	1.6%	0%	0%	0%	2
0%	0%	193.9%	-93.9%	0%	0%	0%	3
0%	0%	382.3%	-282.3%	0%	0%	0%	4
0%	0%	753.6%	-653.6%	0%	0%	0%	5
0%	0%	1485.4%	-1385.4%	0%	0%	0%	6
0%	0%	2927.3%	-2827.3%	0%	0%	0%	7
0%	0%	5767.9%	-5667.9%	0%	0%	0%	8
0%	0%	11364.9%	-11264.9%	0%	0%	0%	9
0%	0%	22388.2%	-22288.2%	0%	0%	0%	10
0%	0%	44102.9%	-44002.9%	0%	0%	0%	11
0%	0%	86860.1%	-86760.1%	0%	0%	0%	12

Compiler

Compiled 25 to 17 computations (32% saved)

sample9.3s (47.6%)

Results

3.3s	10584×	body	256	invalid
2.5s	8072×	body	256	precondition
2.2s	6485×	body	256	valid
622.0ms	1064×	body	512	valid
578.0ms	707×	body	1024	valid

Bogosity

preprocess35.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

444×	`fma-def`
80×	`cancel-sign-sub-inv`
80×	`sub-neg`
56×	`distribute-lft-neg-in`
52×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	24	46
2	38	46
3	66	46
4	105	46
5	209	46
6	346	46
7	492	46
8	588	46
9	634	46
10	644	46
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify28.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

330×	`fma-def`
48×	`distribute-rgt-in`
48×	`sub-neg`
44×	`unsub-neg`
40×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	15	23
2	23	23
3	37	23
4	58	23
5	104	23
6	197	23
7	268	23
8	368	23
9	444	23
10	500	23
11	504	23

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Accurracy

66.6%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	66.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize112.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x x) eps)
✓	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	66.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series11.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	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	x	@	inf	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms	x	@	0	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
0.0ms	x	@	0	(sqrt.f64 (-.f64 (*.f64 x x) eps))

rewrite92.0ms (0.5%)

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)))))
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(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))

simplify156.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

796×	`fma-neg`
648×	`cancel-sign-sub-inv`
572×	`fma-def`
450×	`exp-prod`
446×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	569	8293
1	1346	7691
2	4128	7597

Stop Event

1×	node limit

Counts

309 → 368

Calls

Call 1

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

eval101.0ms (0.5%)

Compiler: Compiled 6603 to 2798 computations (57.6% saved)

prune72.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	359	9	368
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	359	10	369

Accurracy

99.8%

Counts

369 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.1%	(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 (*.f64 eps 1/2) x))
▶	39.8%	(/.f64 (*.f64 eps 1/2) x)
▶	81.1%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	81.1%	(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps)))
	7.0%	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	66.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	62.3%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	4.2%	(-.f64 x x)
▶	3.5%	(+.f64 x x)
	66.0%	(.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)))
	33.1%	(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 (*.f64 eps 1/2) x))
▶	39.8%	(/.f64 (*.f64 eps 1/2) x)
▶	81.1%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	81.1%	(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps)))
	7.0%	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	66.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	62.3%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	4.2%	(-.f64 x x)
▶	3.5%	(+.f64 x x)
	66.0%	(.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)))

Compiler

Compiled 444 to 272 computations (38.7% saved)

localize477.0ms (2.4%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
✓	100.0%	(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓	99.7%	(/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps))
✓	99.6%	(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps)))
✓	100.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	100.0%	(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
✓	100.0%	(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓	99.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

Compiler

Compiled 133 to 23 computations (82.7% saved)

series33.0ms (0.2%)

Counts

8 → 104

Calls

48 calls:

Time	Variable		Point	Expression
6.0ms	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	(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
2.0ms	x	@	-inf	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
2.0ms	eps	@	0	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

rewrite200.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`fma-def`
550×	`fma-neg`
520×	`expm1-udef`
518×	`log1p-udef`
408×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	174
1	407	124
2	6255	124

Stop Event

1×	node limit

Counts

8 → 698

Calls

Call 1

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

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

simplify352.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

914×	`fma-neg`
848×	`fma-def`
718×	`associate-r`
584×	`associate-l`
526×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	845	34102
1	2143	28356
2	7772	28356

Stop Event

1×	node limit

Counts

802 → 626

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (.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 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (.f64 -1/32 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 5)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 eps (.f64 (+.f64 (.f64 -1/32 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (.f64 -1/32 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 1/64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 4))) (.f64 1/128 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6))))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (.f64 -1/32 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 5))))))
(*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (+.f64 (.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)))) (.f64 (pow.f64 (sqrt.f64 -1) 2) eps)) (pow.f64 x 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))) 2) (.f64 1/16 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (.f64 eps (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))))) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)))))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3)))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))))))
(.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))) 2) (.f64 1/16 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (pow.f64 x 7))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))))
(*.f64 2 x)
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.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 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (.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 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (.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 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))))
x
(+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) x)
(+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) x))
(+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) x)))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 x) (.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))))))
x
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
x
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
x
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
x
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (.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 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (.f64 -1/32 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 5)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 eps (.f64 (+.f64 (.f64 -1/32 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (.f64 -1/32 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 1/64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 4))) (.f64 1/128 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6))))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (.f64 -1/32 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 5))))))
(*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (+.f64 (.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)))) (.f64 (pow.f64 (sqrt.f64 -1) 2) eps)) (pow.f64 x 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))) 2) (.f64 1/16 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (.f64 eps (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))))) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)))))))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))
(+.f64 (/.f64 x eps) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps))))
(+.f64 (/.f64 x eps) (+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))))
(+.f64 (/.f64 x eps) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps))))))
(*.f64 2 (/.f64 x eps))
(+.f64 (.f64 2 (/.f64 x eps)) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 x eps)) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 x eps)) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(+.f64 (.f64 1/8 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))) 2) (.f64 1/16 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (.f64 eps (pow.f64 x 7)))) (+.f64 (.f64 1/8 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))
(*.f64 2 (/.f64 x eps))
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3)))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))))))
(.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
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(*.f64 2 x)
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
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x
(+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) x)
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(*.f64 -1 x)
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x
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(.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) (.f64 eps eps)) eps)
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) 1)
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) 2)
(neg.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)))
(log.f64 (exp.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)))
(exp.f64 (neg.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)))
(-.f64 0 (+.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 eps (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 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 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2) (neg.f64 (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 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (neg.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 -1 (+.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 (neg.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 (neg.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 eps (-.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))) 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 (neg.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 (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 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x))
(pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2)
(neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log.f64 (/.f64 1 (exp.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 (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (hypot.f64 x (sqrt.f64 eps)) 1 x)
(fma.f64 1 x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 1 (hypot.f64 x (sqrt.f64 eps)) x)
(fma.f64 1 (neg.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) (cbrt.f64 (fma.f64 x x eps)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 -1 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps)))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 eps)) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 eps)))
(*.f64 (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 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (/.f64 (neg.f64 x) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x 1))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (.f64 (fma.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 x x)))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (-.f64 (/.f64 x 1) (.f64 (.f64 (.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (.f64 x x))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (.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 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(fma.f64 (-.f64 (/.f64 1/2 (.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (fma.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))))) (pow.f64 x 3) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (.f64 (fma.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 x x))))))
(+.f64 (-.f64 (/.f64 x 1) (.f64 (.f64 (.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (.f64 x x))) (fma.f64 (+.f64 (/.f64 1/2 eps) (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (pow.f64 x 3) (/.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (.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 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (.f64 -1/32 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 5)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (fma.f64 1/2 (/.f64 eps x) (neg.f64 (/.f64 (.f64 -1/32 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)))) (pow.f64 x 5)))))
(-.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8)) (/.f64 (*.f64 (pow.f64 eps 3) -1/16) (pow.f64 x 5)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 eps (.f64 (+.f64 (.f64 -1/32 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (.f64 -1/32 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 1/64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 4))) (.f64 1/128 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6))))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (.f64 -1/32 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (fma.f64 -1 (/.f64 (fma.f64 -1/4 (.f64 eps (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 -1/32 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)))))) (fma.f64 1/64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 4)) (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 4)) 1/128))) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (neg.f64 (/.f64 (.f64 -1/32 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)))) (pow.f64 x 5))))))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8)) (/.f64 (.f64 (pow.f64 eps 3) -1/16) (pow.f64 x 5))) (/.f64 (neg.f64 (+.f64 (.f64 (.f64 eps (.f64 (pow.f64 eps 3) -1/16)) 1/4) (.f64 (.f64 -1 (pow.f64 eps 4)) 3/128))) (pow.f64 x 7)))
(+.f64 (-.f64 (.f64 1/2 (/.f64 eps x)) (/.f64 (.f64 (pow.f64 eps 3) -1/16) (pow.f64 x 5))) (fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8 (/.f64 (neg.f64 (+.f64 (.f64 (.f64 eps (.f64 (pow.f64 eps 3) -1/16)) 1/4) (.f64 (.f64 -1 (pow.f64 eps 4)) 3/128))) (pow.f64 x 7))))
(*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (*.f64 -2 x) (pow.f64 (sqrt.f64 -1) 2))
(/.f64 (*.f64 x -2) -1)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 -1/2 (/.f64 eps x) (/.f64 (*.f64 -2 x) (pow.f64 (sqrt.f64 -1) 2)))
(fma.f64 (/.f64 eps x) -1/2 (/.f64 (*.f64 x -2) -1))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (/.f64 (.f64 (.f64 1/4 (.f64 eps eps)) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)))))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 (/.f64 x -1) -2 (.f64 (/.f64 (.f64 eps (neg.f64 eps)) (pow.f64 x 3)) 1/8)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (+.f64 (.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)))) (.f64 (pow.f64 (sqrt.f64 -1) 2) eps)) (pow.f64 x 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))) 2) (.f64 1/16 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (.f64 eps (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))))) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)))))))))
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(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)
(+.f64 x (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
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(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(fma.f64 2 x (*.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))
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(fma.f64 2 x (fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (.f64 eps eps))))))
(fma.f64 x 2 (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.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 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (.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 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (fma.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) -1/16)))
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(*.f64 2 x)
(*.f64 x 2)
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
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(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(fma.f64 -1/8 (.f64 (/.f64 (/.f64 (pow.f64 x 4) -1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
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(fma.f64 -1/8 (.f64 (/.f64 (/.f64 (pow.f64 x 4) -1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (sqrt.f64 (/.f64 1 (pow.f64 eps 5)))))))
x
(+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) x)
(fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) x)
(fma.f64 1/2 (/.f64 (neg.f64 eps) x) x)
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(fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) x)))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (/.f64 -1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))) (fma.f64 1/2 (/.f64 (neg.f64 eps) 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)
(fma.f64 1/2 (/.f64 eps x) (neg.f64 x))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 x) (.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (fma.f64 -1 x (.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8 (-.f64 (.f64 1/2 (/.f64 eps x)) x))
(fma.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) 1/8 (fma.f64 1/2 (/.f64 eps x) (neg.f64 x)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (fma.f64 -1 x (fma.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) -1/16))))
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x
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)))
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(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
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(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
x
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
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(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
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(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
x
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
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(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
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(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
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(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
x
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
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(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x 1))
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(+.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))))))
(fma.f64 2 x (fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (.f64 eps eps)))))))
(+.f64 (fma.f64 x 2 (.f64 (/.f64 eps x) -1/2)) (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (/.f64 -1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (.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 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (fma.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) -1/16)))
(+.f64 (.f64 1/2 (/.f64 eps x)) (fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))) 2) (.f64 1/16 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (pow.f64 x 7))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 eps eps))) 2) (.f64 1/16 (.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (pow.f64 x 7)) (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (fma.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) -1/16))))
(fma.f64 1/2 (/.f64 (fma.f64 (pow.f64 eps 4) 1/16 (.f64 1/64 (pow.f64 eps 4))) (pow.f64 x 7)) (+.f64 (.f64 1/2 (/.f64 eps x)) (fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 2 x)
(*.f64 x 2)
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(fma.f64 -1/8 (.f64 (/.f64 (/.f64 (pow.f64 x 4) -1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (.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 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.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 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))))
(fma.f64 -1/8 (.f64 (/.f64 (/.f64 (pow.f64 x 4) -1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (sqrt.f64 (/.f64 1 (pow.f64 eps 5)))))))
x
(+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) x)
(fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) x)
(fma.f64 1/2 (/.f64 (neg.f64 eps) x) x)
(+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) x))
(fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) x))
(+.f64 x (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 (/.f64 eps x) -1/2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) x)))
(fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) x)))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (/.f64 -1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))) (fma.f64 1/2 (/.f64 (neg.f64 eps) x) x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(fma.f64 -1 x (*.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(fma.f64 1/2 (/.f64 eps x) (neg.f64 x))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 x) (.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (fma.f64 -1 x (.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8 (-.f64 (.f64 1/2 (/.f64 eps x)) x))
(fma.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) 1/8 (fma.f64 1/2 (/.f64 eps x) (neg.f64 x)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (.f64 eps eps))) (fma.f64 -1 x (fma.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) -1/16))))
(+.f64 (-.f64 (.f64 1/2 (/.f64 eps x)) x) (fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (fma.f64 1/2 (/.f64 eps x) (neg.f64 x)) (fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) 1/8 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
x
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(+.f64 x (*.f64 -1 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(+.f64 x (*.f64 (neg.f64 (cbrt.f64 (fma.f64 x x eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))))
(-.f64 x (*.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(+.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))) (*.f64 (hypot.f64 x (sqrt.f64 eps)) 0))
(+.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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(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (*.f64 (hypot.f64 x (sqrt.f64 eps)) 0))
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(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
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(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(+.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 0) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(+.f64 (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(-.f64 x (hypot.f64 x (sqrt.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 x (hypot.f64 x (sqrt.f64 eps)))
(-.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 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) x)) (/.f64 (fma.f64 x x eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(-.f64 (*.f64 (/.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) x) (/.f64 (fma.f64 x x eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(-.f64 (/.f64 0 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(+.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (hypot.f64 x (sqrt.f64 eps)) x)
(*.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 1)
(-.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 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.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 x (hypot.f64 x (sqrt.f64 eps)))
(*.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 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 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.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 x (hypot.f64 x (sqrt.f64 eps)))
(*.f64 -1 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(+.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (hypot.f64 x (sqrt.f64 eps)) x)
(*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) eps)
(*.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (/.f64 1 eps) -1))
(*.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) -1))
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 2)) (/.f64 1 (/.f64 1 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(/.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) -1))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) -2)
(*.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 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.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 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2)))
(*.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 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.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)))))
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(/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) -1)
(/.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 3)
(/.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(pow.f64 (pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) 3) 1/3)
(/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) 2)
(/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)
(neg.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(/.f64 (-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps))) eps)
(/.f64 (-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x) eps)
(sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)))
(log.f64 (exp.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)))
(/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))))
(/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)
(log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))))
(/.f64 (-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps))) eps)
(/.f64 (-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x) eps)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) 3))
(/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 3) (pow.f64 eps 3)))
(/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)))
(/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)
(exp.f64 (neg.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1))
(/.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)))
(/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)
(-.f64 0 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1)
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(-.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 (/.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) x)) (/.f64 (fma.f64 x x eps) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 eps (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 1)
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(*.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(+.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 x (hypot.f64 x (sqrt.f64 eps)))
(*.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 x (hypot.f64 x (sqrt.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2) (neg.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (neg.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(*.f64 -1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(.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 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x eps)) (.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (fma.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 x x eps)))
(*.f64 (neg.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 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(/.f64 eps (-.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 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x eps)) (.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (fma.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 x x eps)))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(/.f64 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 (fma.f64 x x eps)) (*.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 (-.f64 (fma.f64 x x (fma.f64 x x eps)) (.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (fma.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (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 eps) (-.f64 (.f64 x x) (.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 (-.f64 (fma.f64 x x (fma.f64 x x eps)) (.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (fma.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 x x eps)))
(/.f64 (neg.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 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))) (-.f64 (fma.f64 x x (fma.f64 x x eps)) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (fma.f64 x x eps) 3/2)) (fma.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 x x 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 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x eps)) (*.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (fma.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 x x 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)
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3)
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 3) 1/3)
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2)
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 2))
(fabs.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(log.f64 (/.f64 1 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 1))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 x 1 (hypot.f64 x (sqrt.f64 eps)))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (hypot.f64 x (sqrt.f64 eps)) 1 x)
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 1 x (hypot.f64 x (sqrt.f64 eps)))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 1 (hypot.f64 x (sqrt.f64 eps)) x)
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 1 (neg.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) (cbrt.f64 (fma.f64 x x eps)) x)
(fma.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)) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 x (sqrt.f64 eps)))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.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 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 -1 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (fabs.f64 (cbrt.f64 x)) (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 (neg.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (neg.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 (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))))
(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)
(hypot.f64 x (sqrt.f64 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))
(hypot.f64 x (sqrt.f64 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))

eval279.0ms (1.4%)

Compiler: Compiled 17813 to 7311 computations (59% saved)

prune176.0ms (0.9%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	774	2	776
Fresh	1	3	4
Picked	0	5	5
Done	0	1	1
Total	775	11	786

Accurracy

99.9%

Counts

786 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.8%	(/.f64 (*.f64 eps 1/2) x)
▶	40.5%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
✓	81.1%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	81.1%	(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps)))
▶	39.7%	(/.f64 1 (/.f64 x (/.f64 eps 2)))
▶	7.0%	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	66.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	62.3%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	4.2%	(-.f64 x x)
✓	3.5%	(+.f64 x x)
▶	66.0%	(.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)))
✓	39.8%	(/.f64 (*.f64 eps 1/2) x)
▶	40.5%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
✓	81.1%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	81.1%	(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps)))
▶	39.7%	(/.f64 1 (/.f64 x (/.f64 eps 2)))
▶	7.0%	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	66.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	62.3%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	4.2%	(-.f64 x x)
✓	3.5%	(+.f64 x x)
▶	66.0%	(.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)))

Compiler

Compiled 362 to 224 computations (38.1% saved)

localize945.0ms (4.8%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
✓	66.7%	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	99.6%	(/.f64 1 (/.f64 x (/.f64 eps 2)))
✓	100.0%	(pow.f64 (-.f64 (*.f64 x x) eps) 1/4)
✓	100.0%	(+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
✓	99.4%	(.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)))
✓	66.4%	(-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))

Compiler

Compiled 144 to 59 computations (59% saved)

series33.0ms (0.2%)

Counts

7 → 135

Calls

42 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
3.0ms	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)))
2.0ms	x	@	-inf	(-.f64 (sqrt.f64 x) (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)))
2.0ms	eps	@	0	(+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`add-sqr-sqrt`
590×	`pow1`
588×	`*-un-lft-identity`
568×	`add-exp-log`
568×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	207
1	621	161

Stop Event

1×	node limit

Counts

7 → 233

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

simplify171.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1542×	`fma-def`
872×	`times-frac`
744×	`distribute-lft-in`
736×	`distribute-rgt-in`
678×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	930	21044
1	2707	19068

Stop Event

1×	node limit

Counts

368 → 510

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 eps (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/4 (.f64 eps (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (.f64 3/32 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (+.f64 (.f64 7/128 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 11)))))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/4 (.f64 eps (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (.f64 3/32 (.f64 (pow.f64 eps 2) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))))) (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 (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2)) eps)) (sqrt.f64 x)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2)) eps)) (+.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))) (sqrt.f64 x))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2)) eps)) (+.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 -1/384 (pow.f64 x 6)) (+.f64 (.f64 -1/12 (pow.f64 x 6)) (.f64 1/32 (pow.f64 x 6))))) (pow.f64 eps 3))) (sqrt.f64 x)))) (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 1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2))) (.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))))))) (pow.f64 (/.f64 -1 eps) -1/4))
(-.f64 (+.f64 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 11)) 1/4) (+.f64 (.f64 -1/32 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 6)) (.f64 1/384 (pow.f64 x 6))))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2))) (.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)))))))) (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 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)))
(+.f64 (.f64 eps (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (.f64 1/4 (.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x))))
(+.f64 (.f64 eps (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (.f64 1/4 (.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 3/32 (.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (.f64 -3/32 (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))) (.f64 1/16 (/.f64 1 (pow.f64 x 3))))) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 -7/128 (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 11)))))) (.f64 7/128 (.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 11))))))) (.f64 3/64 (/.f64 1 (pow.f64 x 5)))) (pow.f64 eps 3)) (+.f64 (.f64 eps (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (.f64 1/4 (.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 3/32 (.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (.f64 -3/32 (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))) (.f64 1/16 (/.f64 1 (pow.f64 x 3))))) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x))))))
(.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)))))) (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 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps))))))))) eps)) (.f64 1/4 (/.f64 (.f64 (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2))) eps))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (pow.f64 x 4)) (pow.f64 eps 2))) (+.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 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps))))))))) 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 -1 (/.f64 (.f64 (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (.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 (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2))) eps)))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))) (pow.f64 x 2))) (pow.f64 eps 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (.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 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps))))))))) eps)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (.f64 (+.f64 (.f64 -1/384 (pow.f64 x 6)) (+.f64 (.f64 -1/12 (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 -1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (pow.f64 x 4)) (pow.f64 eps 2))) (+.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 -1 (/.f64 (.f64 (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (.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 1/32 (pow.f64 x 6)) (.f64 -1/384 (pow.f64 x 6)))))) (pow.f64 eps 3))) (.f64 1/4 (/.f64 (.f64 (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2))) eps))))))))))
(*.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)))
(+.f64 (.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (pow.f64 x 2)))) (.f64 1/4 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (pow.f64 x 2))))) eps)))
(+.f64 (.f64 -1 (.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 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x))))) (+.f64 (.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))) (+.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (.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 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (pow.f64 x 2)))) (.f64 1/4 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (pow.f64 x 2))))) eps))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.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 1/12 (pow.f64 x 6)) (.f64 1/384 (pow.f64 x 6)))))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))) (pow.f64 x 2))))) (.f64 -1 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (+.f64 (.f64 -1/32 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 6)) (.f64 1/384 (pow.f64 x 6))))))))) (pow.f64 eps 3))) (+.f64 (.f64 -1 (.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 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x))))) (+.f64 (.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))) (+.f64 (.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 -1/16 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (pow.f64 x 2)))) (.f64 1/4 (.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (pow.f64 x 2))))) eps)))))))
(pow.f64 (*.f64 -1 eps) 1/4)
(+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x))
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(.f64 (/.f64 (sqrt.f64 (.f64 eps 1/2)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 eps 1/2)) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 eps 1/2)) 1) (/.f64 (sqrt.f64 (*.f64 eps 1/2)) x))
(.f64 (/.f64 (sqrt.f64 (.f64 eps 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 eps 1/2)) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 1 x) eps) 1/2)
(.f64 (.f64 (/.f64 1 x) 1) (*.f64 eps 1/2))
(.f64 (.f64 (/.f64 1 x) (cbrt.f64 (.f64 (.f64 eps eps) 1/4))) (cbrt.f64 (*.f64 eps 1/2)))
(.f64 (.f64 (/.f64 1 x) (sqrt.f64 (.f64 eps 1/2))) (sqrt.f64 (.f64 eps 1/2)))
(pow.f64 (*.f64 (/.f64 x eps) 2) -1)
(pow.f64 (*.f64 (/.f64 eps x) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 eps x) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 eps x) 1/2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x eps) 2) -2))
(log.f64 (exp.f64 (*.f64 (/.f64 eps x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 eps x) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 eps x) 1/2) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 eps x) 1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 eps x) 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x eps) 2)) -1))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 eps x) 1/2)) 1))
(exp.f64 (-.f64 (log.f64 (*.f64 eps 1/2)) (log.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 eps x) 1/2)))
(+.f64 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))
(+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) (neg.f64 x))
(+.f64 (.f64 x 1) (.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1))) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1)))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2))))
(+.f64 (fma.f64 1 x (neg.f64 (.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1))) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1)))
(+.f64 (fma.f64 1 x (neg.f64 (.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1))) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2))))
(*.f64 1 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(*.f64 (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (/.f64 1 (fma.f64 x x (.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))
(/.f64 1 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (neg.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (*.f64 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) (+.f64 x (.f64 1/2 (/.f64 eps x)))) (+.f64 (.f64 x x) (.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))) (-.f64 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))))
(/.f64 (-.f64 (.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) (+.f64 x (.f64 1/2 (/.f64 eps x)))) (.f64 x x)) (+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x))
(pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3)
(pow.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 2))
(log.f64 (exp.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(cbrt.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(exp.f64 (log.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 1 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x))))) 1)
(.f64 eps (/.f64 1 (fma.f64 x 2 (/.f64 (.f64 -1/2 eps) x))))
(.f64 1 (/.f64 eps (fma.f64 x 2 (/.f64 (.f64 -1/2 eps) x))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (.f64 -1/2 eps) x)))) 2) (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))))
(.f64 (sqrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (.f64 -1/2 eps) x)))) (sqrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))))
(.f64 (neg.f64 eps) (/.f64 1 (neg.f64 (fma.f64 x 2 (/.f64 (.f64 -1/2 eps) x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 (.f64 -1/2 eps) x))) 2)) (/.f64 eps (cbrt.f64 (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 2 (/.f64 (.f64 -1/2 eps) x)))) (/.f64 eps (sqrt.f64 (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (fma.f64 x 2 (/.f64 (.f64 -1/2 eps) x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 (.f64 -1/2 eps) x))) 2)) (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (fma.f64 x 2 (/.f64 (.f64 -1/2 eps) x)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))))
(.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (fma.f64 x 2 (/.f64 (.f64 -1/2 eps) x))))
(.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 (.f64 -1/2 eps) x))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))))
(pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x))) 1)
(pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))) 3)
(pow.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))) 2)
(pow.f64 (/.f64 (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)) eps) -1)
(neg.f64 (/.f64 eps (neg.f64 (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))))
(sqrt.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x))) 2))
(log.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x))))))
(cbrt.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x))) 3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))))
(exp.f64 (log.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (.f64 -1/2 eps) x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 -1/2 eps) x)))))

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

eval379.0ms (1.9%)

Compiler: Compiled 21230 to 12174 computations (42.7% saved)

prune133.0ms (0.7%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	579	4	583
Fresh	0	0	0
Picked	1	4	5
Done	1	5	6
Total	581	13	594

Accurracy

100.0%

Counts

594 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.9%	(/.f64 (-.f64 (.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) (+.f64 x (.f64 1/2 (/.f64 eps x)))) (.f64 x x)) (+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x))
▶	99.5%	(/.f64 (+.f64 0 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	39.8%	(/.f64 (*.f64 eps 1/2) x)
✓	40.5%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
✓	81.1%	(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps)))
✓	39.7%	(/.f64 1 (/.f64 x (/.f64 eps 2)))
✓	7.0%	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	66.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	62.3%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.2%	(-.f64 x x)
✓	3.5%	(+.f64 x x)
▶	5.6%	(*.f64 x -2)
▶	39.6%	(*.f64 eps (/.f64 1/2 x))
▶	6.9%	(/.f64 (-.f64 (.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) (+.f64 x (.f64 1/2 (/.f64 eps x)))) (.f64 x x)) (+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x))
▶	99.5%	(/.f64 (+.f64 0 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	39.8%	(/.f64 (*.f64 eps 1/2) x)
✓	40.5%	(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
✓	81.1%	(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps)))
✓	39.7%	(/.f64 1 (/.f64 x (/.f64 eps 2)))
✓	7.0%	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	66.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	62.3%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.2%	(-.f64 x x)
✓	3.5%	(+.f64 x x)
▶	5.6%	(*.f64 x -2)
▶	39.6%	(*.f64 eps (/.f64 1/2 x))

Compiler

Compiled 288 to 182 computations (36.8% saved)

localize353.0ms (1.8%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x)
✓	99.5%	(.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) (+.f64 x (*.f64 1/2 (/.f64 eps x))))
✓	91.8%	(/.f64 (-.f64 (.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) (+.f64 x (.f64 1/2 (/.f64 eps x)))) (.f64 x x)) (+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x))
✓	67.3%	(-.f64 (.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) (+.f64 x (.f64 1/2 (/.f64 eps x)))) (.f64 x x))
	100.0%	(-.f64 (*.f64 x x) eps)
	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	99.5%	(/.f64 (+.f64 0 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	99.6%	(*.f64 eps (/.f64 1/2 x))

Compiler

Compiled 152 to 61 computations (59.9% saved)

series14.0ms (0.1%)

Counts

7 → 152

Calls

42 calls:

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

rewrite135.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`add-sqr-sqrt`
528×	`pow1`
526×	`*-un-lft-identity`
502×	`add-exp-log`
502×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	219
1	541	161

Stop Event

1×	node limit

Counts

7 → 286

Calls

Call 1

Inputs
(*.f64 eps (/.f64 1/2 x))
(/.f64 (+.f64 0 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) (+.f64 x (.f64 1/2 (/.f64 eps x)))) (.f64 x x))
(/.f64 (-.f64 (.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) (+.f64 x (.f64 1/2 (/.f64 eps x)))) (.f64 x x)) (+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x))
(.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) (+.f64 x (*.f64 1/2 (/.f64 eps x))))
(+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x)

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

simplify178.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1222×	`fma-def`
1104×	`associate-l`
822×	`associate-/r*`
476×	`distribute-rgt-in`
458×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	797	16140
1	2269	14598

Stop Event

1×	node limit

Counts

438 → 435

Calls

Call 1

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

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

eval650.0ms (3.3%)

Compiler: Compiled 16587 to 8227 computations (50.4% saved)

prune145.0ms (0.7%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	646	7	653
Fresh	0	0	0
Picked	1	3	4
Done	3	6	9
Total	650	16	666

Accurracy

100.0%

Counts

666 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.9%	(/.f64 (-.f64 (.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) (+.f64 x (.f64 1/2 (/.f64 eps x)))) (.f64 x x)) (+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x))
	40.5%	(/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
	64.9%	(/.f64 (+.f64 0 eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))
	11.9%	(/.f64 (.f64 (/.f64 1/2 x) (neg.f64 (.f64 eps eps))) (neg.f64 eps))
✓	39.8%	(/.f64 (*.f64 eps 1/2) x)
	9.9%	(/.f64 (.f64 1/2 (.f64 eps eps)) (*.f64 eps x))
	99.5%	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	99.3%	(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
	39.7%	(/.f64 1/2 (/.f64 x eps))
✓	7.0%	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	66.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	62.3%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.2%	(-.f64 x x)
✓	3.5%	(+.f64 x x)
✓	5.6%	(*.f64 x -2)
✓	39.6%	(*.f64 eps (/.f64 1/2 x))

Compiler

Compiled 404 to 214 computations (47% saved)

regimes42.0ms (0.2%)

Counts

23 → 1

Calls

Call 1

Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
(*.f64 eps (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x eps))
(/.f64 (*.f64 eps 1/2) x)
(/.f64 1 (/.f64 x (/.f64 eps 2)))
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(/.f64 (.f64 1/2 (.f64 eps eps)) (*.f64 eps x))
(/.f64 (.f64 (/.f64 1/2 x) (neg.f64 (.f64 eps eps))) (neg.f64 eps))
(/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 (-.f64 (.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) (+.f64 x (.f64 1/2 (/.f64 eps x)))) (.f64 x x)) (+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (+.f64 0 eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 eps (fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
(/.f64 (+.f64 0 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 (*.f64 eps 1/2) x))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (.f64 x x) (.f64 x x)) 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 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

Calls

3 calls:

13.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
12.0ms	x
11.0ms	eps

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`eps`
99.5%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 249 to 114 computations (54.2% saved)

regimes142.0ms (0.7%)

Counts

15 → 2

Calls

Call 1

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

Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))

Calls

3 calls:

65.0ms	eps
59.0ms	x
15.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
91.3%	4	`x`
86.9%	4	`eps`
99.2%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 142 to 76 computations (46.5% saved)

regimes318.0ms (1.6%)

Counts

13 → 4

Calls

Call 1

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

Outputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))

Calls

1 calls:

314.0ms

Results

Accuracy	Segments	Branch
89.8%	4	`x`

Compiler

Compiled 112 to 61 computations (45.5% saved)

regimes18.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
(*.f64 eps (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x eps))
(/.f64 (*.f64 eps 1/2) x)
(/.f64 1 (/.f64 x (/.f64 eps 2)))
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(/.f64 (.f64 1/2 (.f64 eps eps)) (*.f64 eps x))
(/.f64 (.f64 (/.f64 1/2 x) (neg.f64 (.f64 eps eps))) (neg.f64 eps))
(/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 (-.f64 (.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) (+.f64 x (.f64 1/2 (/.f64 eps x)))) (.f64 x x)) (+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x))

Outputs
(/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))

Calls

2 calls:

8.0ms	x
7.0ms	eps

Results

Accuracy	Segments	Branch
40.5%	1	`eps`
40.5%	1	`x`

Compiler

Compiled 110 to 61 computations (44.5% saved)

regimes15.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
39.8%	1	`eps`
39.8%	1	`x`

Compiler

Compiled 68 to 40 computations (41.2% saved)

regimes12.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
39.7%	1	`x`
39.7%	1	`eps`

Compiler

Compiled 27 to 16 computations (40.7% saved)

regimes10.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
39.6%	1	`x`
39.6%	1	`eps`

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes9.0ms (0%)

Accuracy

Total -1.8b remaining (-3%)

Threshold costs -1.8b (-3%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 x -2)

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
5.6%	1	`x`
5.6%	1	`eps`

Compiler

Compiled 17 to 10 computations (41.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1336816515428986e-150	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch46.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.8160044642367818e-96	2.918184061152009e-96
26.0ms	3.2932701401808534e-101	1.4396743575149142e-100
19.0ms	3.876601515588266e-116	1.1391716919593529e-115

Results

28.0ms	141×	body	256	valid
11.0ms	35×	body	512	valid
4.0ms	20×	body	256	invalid

Compiler

Compiled 279 to 197 computations (29.4% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	286
1	68	278
2	83	278
3	95	274
4	101	274
5	102	274

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(if (<=.f64 x 2439949330826317/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x 5319270836513255/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) x))) (if (<=.f64 x 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) x))))))
(/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 (*.f64 eps 1/2) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(*.f64 x -2)

Outputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(if (<=.f64 x 2439949330826317/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x 5319270836513255/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) x))) (if (<=.f64 x 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) x))))))
(if (<=.f64 x 2439949330826317/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (or (<=.f64 x 5319270836513255/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (not (<=.f64 x 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))) (-.f64 x (sqrt.f64 (neg.f64 eps)))))
(if (or (<=.f64 x 2439949330826317/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (not (or (<=.f64 x 5319270836513255/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (not (<=.f64 x 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424))))) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(if (or (<=.f64 x 2439949330826317/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (and (not (<=.f64 x 5319270836513255/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816)) (<=.f64 x 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424))) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(/.f64 (+.f64 0 eps) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(/.f64 (*.f64 eps 1/2) x)
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(*.f64 x -2)

Compiler

Compiled 114 to 70 computations (38.6% saved)

soundness2.5s (12.9%)

Rules

1542×	`fma-def`
1542×	`fma-def`
1542×	`fma-def`
1222×	`fma-def`
1104×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	201	53
2	2888	49
0	27	207
1	621	161
0	930	21044
1	2707	19068
0	22	219
1	541	161
0	797	16140
1	2269	14598
0	9	53
1	201	53
2	2888	49
0	569	8293
1	1346	7691
2	4128	7597
0	845	34102
1	2143	28356
2	7772	28356
0	930	21044
1	2707	19068
0	569	8293
1	1346	7691
2	4128	7597
0	845	34102
1	2143	28356
2	7772	28356
0	930	21044
1	2707	19068
0	22	219
1	541	161
0	569	8293
1	1346	7691
2	4128	7597
0	569	8293
1	1346	7691
2	4128	7597

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

Compiler

Compiled 1341 to 510 computations (62% saved)

end82.0ms (0.4%)

Compiler: Compiled 244 to 128 computations (47.5% saved)

Iter	Nodes	Cost
0	13	46
1	24	46
2	38	46
3	66	46
4	105	46
5	209	46
6	346	46
7	492	46
8	588	46
9	634	46
10	644	46
0	2	2

Iter	Nodes	Cost
0	9	23
1	15	23
2	23	23
3	37	23
4	58	23
5	104	23
6	197	23
7	268	23
8	368	23
9	444	23
10	500	23
11	504	23

Iter	Nodes	Cost
0	13	46
1	24	46
2	38	46
3	66	46
4	105	46
5	209	46
6	346	46
7	492	46
8	588	46
9	634	46
10	644	46
0	2	2

Iter	Nodes	Cost
0	9	23
1	15	23
2	23	23
3	37	23
4	58	23
5	104	23
6	197	23
7	268	23
8	368	23
9	444	23
10	500	23
11	504	23

Details

analyze1.6s (8.4%)

sample9.3s (47.6%)

preprocess35.0ms (0.2%)

simplify28.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize112.0ms (0.6%)

series11.0ms (0.1%)

rewrite92.0ms (0.5%)

simplify156.0ms (0.8%)

eval101.0ms (0.5%)

prune72.0ms (0.4%)

localize477.0ms (2.4%)

series33.0ms (0.2%)

rewrite200.0ms (1%)

simplify352.0ms (1.8%)

eval279.0ms (1.4%)

prune176.0ms (0.9%)

localize945.0ms (4.8%)

series33.0ms (0.2%)

rewrite114.0ms (0.6%)

simplify171.0ms (0.9%)

eval379.0ms (1.9%)

prune133.0ms (0.7%)

localize353.0ms (1.8%)

series14.0ms (0.1%)

rewrite135.0ms (0.7%)

simplify178.0ms (0.9%)

eval650.0ms (3.3%)

prune145.0ms (0.7%)

regimes42.0ms (0.2%)

regimes142.0ms (0.7%)

regimes318.0ms (1.6%)

regimes18.0ms (0.1%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0%)

regimes9.0ms (0%)

bsearch0.0ms (0%)

bsearch46.0ms (0.2%)

simplify14.0ms (0.1%)

soundness2.5s (12.9%)

end82.0ms (0.4%)

Profiling

Iter	Nodes	Cost
0	13	46
1	24	46
2	38	46
3	66	46
4	105	46
5	209	46
6	346	46
7	492	46
8	588	46
9	634	46
10	644	46
0	2	2

Iter	Nodes	Cost
0	9	23
1	15	23
2	23	23
3	37	23
4	58	23
5	104	23
6	197	23
7	268	23
8	368	23
9	444	23
10	500	23
11	504	23