Metrics for ENA, Section 1.4, Exercise 4d

analyze14.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 25 to 17 computations (32% saved)

sample1.4s (12.5%)

Results

702.0ms	5901×	body	256	valid
374.0ms	1156×	body	1024	valid
322.0ms	1164×	body	512	valid
13.0ms	172×	body	256	invalid
9.0ms	35×	body	2048	valid

Bogosity

preprocess97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

582×	`fma-def`
90×	`cancel-sign-sub-inv`
88×	`fma-neg`
86×	`cancel-sign-sub`
74×	`distribute-lft-neg-in`

Problems

152×	No Errors
104×	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	123
1	51	115
2	105	115
3	279	115
4	580	115
5	835	115
6	930	115
7	959	115
8	965	115

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 37 to 13 computations (64.9% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize78.0ms (0.7%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
	100.0%	(-.f64 (*.f64 x x) eps)
✓	100.0%	(-.f64 (*.f64 x x) eps)
✓	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series8.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

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

rewrite162.0ms (1.4%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1608×	`frac-2neg`
1276×	`cancel-sign-sub-inv`
830×	`flip3-+`
368×	`frac-times`
192×	`cancel-sign-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	43	53
2	325	53
3	3930	53

Stop Event

1×	node limit

Counts

3 → 309

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 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (pow.f64 (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) 1/2)))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (sqrt.f64 (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (/.f64 1 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))
(+.f64 x (.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))) (pow.f64 (/.f64 1 (fma.f64 x x eps)) 1/2)))
(+.f64 x (.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))) (sqrt.f64 (/.f64 1 (fma.f64 x x eps)))))
(+.f64 x (.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))) (/.f64 1 (sqrt.f64 (fma.f64 x x eps)))))
(+.f64 x (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3/2) (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (*.f64 x x) eps))))))
(+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)))) (.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))))))
(+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)))) (.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3/2) (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)) 3)))) (+.f64 (pow.f64 x 4) (.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)) (-.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)) (.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)))) (.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3/2) (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)) 2)))) (-.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (neg.f64 (-.f64 (.f64 x x) eps)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)) (neg.f64 (fma.f64 x x eps))) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (fma.f64 x x eps) (.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(+.f64 (+.f64 x 0) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (+.f64 x 0) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (pow.f64 (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) 1/2)))
(+.f64 (+.f64 x 0) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (sqrt.f64 (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))
(+.f64 (+.f64 x 0) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (/.f64 1 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))
(+.f64 (+.f64 x 0) (.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))) (pow.f64 (/.f64 1 (fma.f64 x x eps)) 1/2)))
(+.f64 (+.f64 x 0) (.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))) (sqrt.f64 (/.f64 1 (fma.f64 x x eps)))))
(+.f64 (+.f64 x 0) (.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))) (/.f64 1 (sqrt.f64 (fma.f64 x x eps)))))
(+.f64 (+.f64 x 0) (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) 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 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)))))
(.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (*.f64 x x) eps))))))
(.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (/.f64 1 (neg.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))))))
(.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x))) (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))
(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (fma.f64 x x eps) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (-.f64 (fma.f64 x x eps) (.f64 x x))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)) 3))) (+.f64 (pow.f64 x 4) (.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)) (-.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)) (.f64 x x)))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)) 2))) (-.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 x (sqrt.f64 (-.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 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (+.f64 (-.f64 (.f64 x x) eps) (+.f64 (.f64 x x) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (/.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 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 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (*.f64 x x) eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (neg.f64 (+.f64 (-.f64 (.f64 x x) eps) (+.f64 (.f64 x x) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (neg.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x))) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 (-.f64 (.f64 x x) eps) 9/2)) (.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3) (pow.f64 (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)))))
(/.f64 1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 1 (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1))
(/.f64 1 (neg.f64 (neg.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 (.f64 x x) eps) 2)) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x x (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) eps) 3)) (.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) eps) 3)) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (pow.f64 x 4) (.f64 (-.f64 (.f64 x x) eps) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
(/.f64 -1 (neg.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)))) (.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 x x) eps))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
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(/.f64 (*.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (+.f64 (pow.f64 x 6) (pow.f64 eps 3)))
(/.f64 (.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) (/.f64 1 (fma.f64 x x eps))) (+.f64 (+.f64 (pow.f64 x 8) (pow.f64 eps 4)) (.f64 (pow.f64 x 4) (*.f64 eps eps))))
(/.f64 (.f64 (-.f64 (pow.f64 x 8) (pow.f64 eps 4)) (/.f64 1 (fma.f64 x x eps))) (+.f64 (pow.f64 x 4) (.f64 eps eps)))
(/.f64 (-.f64 (neg.f64 (pow.f64 x 6)) (pow.f64 (neg.f64 eps) 3)) (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))
(/.f64 (-.f64 (neg.f64 (pow.f64 x 4)) (neg.f64 (*.f64 eps eps))) (neg.f64 (fma.f64 x x eps)))
(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (pow.f64 x 4))) (neg.f64 (-.f64 (neg.f64 eps) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)) 1)) (neg.f64 (fma.f64 x x eps)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) 1)) (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)) (pow.f64 eps 3)))) (neg.f64 (*.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) (fma.f64 x x eps)) (.f64 (fma.f64 x x eps) (.f64 eps eps)))) (neg.f64 (.f64 (fma.f64 x x eps) (fma.f64 x x eps))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))) (neg.f64 (.f64 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x eps)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 x x eps)) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))))) (neg.f64 (.f64 (sqrt.f64 (fma.f64 x x eps)) (sqrt.f64 (fma.f64 x x eps)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 18) (pow.f64 eps 9)) 1)) (neg.f64 (.f64 (+.f64 (+.f64 (pow.f64 eps 6) (*.f64 (pow.f64 x 6) (pow.f64 eps 3))) (pow.f64 x 12)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) 1)) (neg.f64 (.f64 (+.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) 1)) (neg.f64 (.f64 (+.f64 (+.f64 (pow.f64 x 8) (pow.f64 eps 4)) (.f64 (pow.f64 x 4) (.f64 eps eps))) (fma.f64 x x eps))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 8) (pow.f64 eps 4)) 1)) (neg.f64 (.f64 (+.f64 (pow.f64 x 4) (*.f64 eps eps)) (fma.f64 x x eps))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 x 4)) (*.f64 eps eps)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) 3) (pow.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) 3))) (neg.f64 (+.f64 (.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (+.f64 (.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) 3) (pow.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps)) 3))) (neg.f64 (+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (/.f64 (pow.f64 x 4) (fma.f64 x x eps))) (+.f64 (.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps)) (/.f64 eps (/.f64 (fma.f64 x x eps) eps))) (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (/.f64 eps (/.f64 (fma.f64 x x eps) eps)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))) (neg.f64 (+.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (/.f64 (pow.f64 x 4) (fma.f64 x x eps))) (.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps)) (/.f64 eps (/.f64 (fma.f64 x x eps) eps))))) (neg.f64 (+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (/.f64 eps (/.f64 (fma.f64 x x eps) eps)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))) (neg.f64 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))))) (neg.f64 (sqrt.f64 (fma.f64 x x eps))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (sqrt.f64 (fma.f64 x x eps))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 18) (pow.f64 eps 9)) (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))) (neg.f64 (+.f64 (+.f64 (pow.f64 eps 6) (.f64 (pow.f64 x 6) (pow.f64 eps 3))) (pow.f64 x 12))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))) (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 eps 3))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) (/.f64 1 (fma.f64 x x eps)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x 8) (pow.f64 eps 4)) (.f64 (pow.f64 x 4) (*.f64 eps eps)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 8) (pow.f64 eps 4)) (/.f64 1 (fma.f64 x x eps)))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) 3) (pow.f64 (neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))) (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) 3) (pow.f64 (neg.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (/.f64 (pow.f64 x 4) (fma.f64 x x eps))) (-.f64 (.f64 (neg.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps))) (neg.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps)))) (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (neg.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps)))))))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2)
(pow.f64 (-.f64 (*.f64 x x) eps) 1)
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/2)
(pow.f64 (/.f64 1 (-.f64 (*.f64 x x) eps)) -1)
(neg.f64 (neg.f64 (-.f64 (*.f64 x x) eps)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (neg.f64 (fma.f64 x x eps))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))
(fabs.f64 (-.f64 (*.f64 x x) eps))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 x x (neg.f64 eps))
(fma.f64 -1 eps (*.f64 x x))

Calls

9 calls:

1.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
0.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
0.0ms	(sqrt.f64 (-.f64 (*.f64 x x) eps))
0.0ms	(-.f64 (*.f64 x x) eps)
0.0ms	(sqrt.f64 (-.f64 (*.f64 x x) eps))

simplify297.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-def`
804×	`*-commutative`
654×	`distribute-rgt-in`
618×	`distribute-lft-in`
542×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	913	24983
1	2829	24085

Stop Event

1×	node limit

Counts

365 → 533

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 x (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 x (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7))))))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 2 x))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))) x)))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))))
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (pow.f64 (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) 1/2)))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (sqrt.f64 (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (/.f64 1 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))
(+.f64 x (.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))) (pow.f64 (/.f64 1 (fma.f64 x x eps)) 1/2)))
(+.f64 x (.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))) (sqrt.f64 (/.f64 1 (fma.f64 x x eps)))))
(+.f64 x (.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))) (/.f64 1 (sqrt.f64 (fma.f64 x x eps)))))
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(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x eps)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 x x eps)) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))))) (neg.f64 (.f64 (sqrt.f64 (fma.f64 x x eps)) (sqrt.f64 (fma.f64 x x eps)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 18) (pow.f64 eps 9)) 1)) (neg.f64 (.f64 (+.f64 (+.f64 (pow.f64 eps 6) (*.f64 (pow.f64 x 6) (pow.f64 eps 3))) (pow.f64 x 12)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) 1)) (neg.f64 (.f64 (+.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) 1)) (neg.f64 (.f64 (+.f64 (+.f64 (pow.f64 x 8) (pow.f64 eps 4)) (.f64 (pow.f64 x 4) (.f64 eps eps))) (fma.f64 x x eps))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 8) (pow.f64 eps 4)) 1)) (neg.f64 (.f64 (+.f64 (pow.f64 x 4) (*.f64 eps eps)) (fma.f64 x x eps))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 x 4)) (*.f64 eps eps)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) 3) (pow.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) 3))) (neg.f64 (+.f64 (.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (+.f64 (.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) 3) (pow.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps)) 3))) (neg.f64 (+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (/.f64 (pow.f64 x 4) (fma.f64 x x eps))) (+.f64 (.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps)) (/.f64 eps (/.f64 (fma.f64 x x eps) eps))) (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (/.f64 eps (/.f64 (fma.f64 x x eps) eps)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))) (neg.f64 (+.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (/.f64 (pow.f64 x 4) (fma.f64 x x eps))) (.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps)) (/.f64 eps (/.f64 (fma.f64 x x eps) eps))))) (neg.f64 (+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (/.f64 eps (/.f64 (fma.f64 x x eps) eps)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))) (neg.f64 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))))) (neg.f64 (sqrt.f64 (fma.f64 x x eps))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (sqrt.f64 (fma.f64 x x eps))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 18) (pow.f64 eps 9)) (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))) (neg.f64 (+.f64 (+.f64 (pow.f64 eps 6) (.f64 (pow.f64 x 6) (pow.f64 eps 3))) (pow.f64 x 12))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) (/.f64 1 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))) (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 eps 3))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) (/.f64 1 (fma.f64 x x eps)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x 8) (pow.f64 eps 4)) (.f64 (pow.f64 x 4) (*.f64 eps eps)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x 8) (pow.f64 eps 4)) (/.f64 1 (fma.f64 x x eps)))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) 3) (pow.f64 (neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))) (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) 3) (pow.f64 (neg.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (/.f64 (pow.f64 x 4) (fma.f64 x x eps))) (-.f64 (.f64 (neg.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps))) (neg.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps)))) (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (neg.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps)))))))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2)
(pow.f64 (-.f64 (*.f64 x x) eps) 1)
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/2)
(pow.f64 (/.f64 1 (-.f64 (*.f64 x x) eps)) -1)
(neg.f64 (neg.f64 (-.f64 (*.f64 x x) eps)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (neg.f64 (fma.f64 x x eps))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))
(fabs.f64 (-.f64 (*.f64 x x) eps))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 x x (neg.f64 eps))
(fma.f64 -1 eps (*.f64 x x))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(log.f64 (exp.f64 (-.f64 (*.f64 x x) eps)))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(.f64 1 (-.f64 (.f64 x x) eps))
(pow.f64 (-.f64 (*.f64 x x) eps) 1)
(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (-.f64 (*.f64 x x) eps)))
(cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (-.f64 (*.f64 x x) eps)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) eps)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(binary32->binary64 (binary64->binary32 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(binary32->binary64 (-.f32 (binary64->binary32 x) (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))))

Outputs
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)))
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x)
(+.f64 x (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 x (fma.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x) (.f64 (/.f64 (.f64 x x) (sqrt.f64 -1)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 eps)))))
(+.f64 x (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(+.f64 x (fma.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (.f64 (/.f64 (pow.f64 x 4) (.f64 -1 (sqrt.f64 -1))) (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7))))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (pow.f64 (.f64 -1/8 (.f64 eps eps)) 2)) (pow.f64 x 7))))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (.f64 (pow.f64 eps 4) 1/64)) (pow.f64 x 7))) (.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))))
(*.f64 2 x)
(*.f64 x 2)
(+.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 (*.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 x 2)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8 (.f64 x 2)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 2 x))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 x 2))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8 (fma.f64 x 2 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))) x)))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (pow.f64 eps 4) (/.f64 x (+.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))))))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (pow.f64 eps 4) (/.f64 x (+.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))))) (.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (.f64 (/.f64 (.f64 x x) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 eps)) 1/2)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (.f64 -1 (sqrt.f64 -1)))) -1/8 (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (.f64 (/.f64 (.f64 x x) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 eps)) 1/2))))
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(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x 8) (pow.f64 eps 4))) (fma.f64 x x eps)) (neg.f64 (fma.f64 eps eps (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) 3) (pow.f64 (neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))) (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) 3) (pow.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) 3)) (fma.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 x 6) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (/.f64 (pow.f64 eps 3) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) 3) (pow.f64 (neg.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (/.f64 (pow.f64 x 4) (fma.f64 x x eps))) (-.f64 (.f64 (neg.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps))) (neg.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps)))) (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (neg.f64 (/.f64 eps (/.f64 (fma.f64 x x eps) eps)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) 3) (pow.f64 (.f64 (/.f64 eps (fma.f64 x x eps)) eps) 3)) (fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (.f64 (.f64 (/.f64 eps (fma.f64 x x eps)) eps) (+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (.f64 (/.f64 eps (fma.f64 x x eps)) eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) 3) (pow.f64 (.f64 eps (/.f64 eps (fma.f64 x x eps))) 3)) (fma.f64 (.f64 eps (/.f64 eps (fma.f64 x x eps))) (fma.f64 (/.f64 eps (fma.f64 x x eps)) eps (/.f64 (pow.f64 x 4) (fma.f64 x x eps))) (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x eps)) (/.f64 (pow.f64 x 4) (fma.f64 x x eps)))))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2)
(-.f64 (*.f64 x x) eps)
(pow.f64 (-.f64 (*.f64 x x) eps) 1)
(-.f64 (*.f64 x x) eps)
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)
(-.f64 (*.f64 x x) eps)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/2)
(-.f64 (*.f64 x x) eps)
(pow.f64 (/.f64 1 (-.f64 (*.f64 x x) eps)) -1)
(-.f64 (*.f64 x x) eps)
(neg.f64 (neg.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(neg.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))
(/.f64 (fma.f64 -1 (pow.f64 x 6) (pow.f64 eps 3)) (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (neg.f64 (fma.f64 x x eps))))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (pow.f64 x 4)) 1) (neg.f64 (fma.f64 x x eps)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 x 4)) (neg.f64 (fma.f64 x x eps)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))
(-.f64 (*.f64 x x) eps)
(fabs.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(fma.f64 x x (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(fma.f64 -1 eps (*.f64 x x))
(-.f64 (*.f64 x x) eps)
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(log.f64 (exp.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(.f64 1 (-.f64 (.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(pow.f64 (-.f64 (*.f64 x x) eps) 1)
(-.f64 (*.f64 x x) eps)
(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (-.f64 (*.f64 x x) eps)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(binary32->binary64 (binary64->binary32 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(binary32->binary64 (-.f32 (binary64->binary32 x) (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))))

eval252.0ms (2.2%)

Compiler: Compiled 18542 to 6741 computations (63.6% saved)

prune99.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	524	9	533
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	524	10	534

Accuracy

99.7%

Counts

534 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.4%	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
▶	63.1%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
	63.1%	(-.f64 x (/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 x x) eps)))))
	6.9%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
✓	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	59.5%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	4.2%	(-.f64 x x)
	3.3%	(.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
▶	3.5%	(*.f64 x 2)
▶	42.8%	(*.f64 1/2 (/.f64 eps x))
▶	37.4%	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
▶	63.1%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
	63.1%	(-.f64 x (/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 x x) eps)))))
	6.9%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
✓	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	59.5%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	4.2%	(-.f64 x x)
	3.3%	(.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
▶	3.5%	(*.f64 x 2)
▶	42.8%	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 448 to 260 computations (42% saved)

localize165.0ms (1.4%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
	62.4%	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
	100.0%	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
	100.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	80.2%	(-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))
	99.6%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
	100.0%	(-.f64 (*.f64 x x) eps)
✓	100.0%	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
✓	62.4%	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
✓	100.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	100.0%	(-.f64 (*.f64 x x) eps)
	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	99.6%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
✓	80.2%	(-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))

Compiler

Compiled 131 to 38 computations (71% saved)

series16.0ms (0.1%)

Counts

5 → 101

Calls

30 calls:

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

rewrite135.0ms (1.2%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

530×	`frac-2neg`
450×	`associate-r`
428×	`fma-def`
352×	`times-frac`
270×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	155
1	128	147
2	1029	103

Stop Event

1×	node limit

Counts

5 → 401

Calls

Call 1

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

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

Calls

17 calls:

1.0ms	(-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))
0.0ms	(-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))
0.0ms	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
0.0ms	(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))

simplify230.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1223×	`times-frac`
1033×	`fma-def`
977×	`*-commutative`
890×	`distribute-lft-in`
828×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1035	24594
1	3092	22860

Stop Event

1×	node limit

Counts

502 → 689

Calls

Call 1

Inputs
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))) (.f64 (pow.f64 x 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 eps (pow.f64 (sqrt.f64 -1) 4)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (pow.f64 eps 4)) (.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 2)) (.f64 1/4 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 eps (+.f64 (.f64 -1/8 (pow.f64 eps 2)) (.f64 1/4 (pow.f64 eps 2))))) (+.f64 (.f64 -1/16 (pow.f64 eps 3)) (.f64 2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2)) eps)))) (pow.f64 x 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 2)) (.f64 1/4 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
x
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
x
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
x
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
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(/.f64 (+.f64 (.f64 1/2 (pow.f64 (neg.f64 x) 3)) (.f64 (/.f64 x eps) (.f64 (.f64 eps eps) 1/8))) (*.f64 (/.f64 x eps) (pow.f64 (neg.f64 x) 3)))
(/.f64 (+.f64 (.f64 (.f64 eps 1/2) (.f64 (pow.f64 x 3) (pow.f64 eps -2))) (.f64 x 1/8)) (.f64 x (.f64 (pow.f64 x 3) (pow.f64 eps -2))))
(/.f64 (+.f64 (.f64 (.f64 eps 1/2) (pow.f64 x 3)) (.f64 x (.f64 (*.f64 eps eps) 1/8))) (pow.f64 x 4))
(/.f64 (+.f64 (.f64 (.f64 eps 1/2) (/.f64 (pow.f64 x 3) eps)) (.f64 x (.f64 eps 1/8))) (*.f64 x (/.f64 (pow.f64 x 3) eps)))
(/.f64 (+.f64 (.f64 (.f64 eps 1/2) (pow.f64 (neg.f64 x) 3)) (.f64 x (.f64 (*.f64 eps eps) 1/8))) (neg.f64 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) (.f64 (/.f64 x (.f64 eps 1/2)) 1/8)) (.f64 (/.f64 x (.f64 eps 1/2)) (.f64 (pow.f64 x 3) (pow.f64 eps -2))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (/.f64 x (.f64 eps 1/2)) (.f64 (.f64 eps eps) 1/8))) (.f64 (/.f64 x (.f64 eps 1/2)) (pow.f64 x 3)))
(/.f64 (+.f64 (/.f64 (pow.f64 x 3) eps) (.f64 (/.f64 x (.f64 eps 1/2)) (.f64 eps 1/8))) (.f64 (/.f64 x (*.f64 eps 1/2)) (/.f64 (pow.f64 x 3) eps)))
(/.f64 (+.f64 (.f64 1 (pow.f64 (neg.f64 x) 3)) (.f64 (/.f64 x (.f64 eps 1/2)) (.f64 (.f64 eps eps) 1/8))) (.f64 (/.f64 x (*.f64 eps 1/2)) (pow.f64 (neg.f64 x) 3)))
(/.f64 (+.f64 (.f64 (.f64 eps 1/2) (.f64 (pow.f64 x 3) (pow.f64 eps -2))) (.f64 (neg.f64 x) 1/8)) (.f64 (neg.f64 x) (.f64 (pow.f64 x 3) (pow.f64 eps -2))))
(/.f64 (+.f64 (.f64 (.f64 eps 1/2) (pow.f64 x 3)) (.f64 (neg.f64 x) (.f64 (*.f64 eps eps) 1/8))) (neg.f64 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 (.f64 eps 1/2) (/.f64 (pow.f64 x 3) eps)) (.f64 (neg.f64 x) (.f64 eps 1/8))) (*.f64 (neg.f64 x) (/.f64 (pow.f64 x 3) eps)))
(/.f64 (+.f64 (.f64 (.f64 eps 1/2) (pow.f64 (neg.f64 x) 3)) (.f64 (neg.f64 x) (.f64 (.f64 eps eps) 1/8))) (.f64 (neg.f64 x) (pow.f64 (neg.f64 x) 3)))
(/.f64 (+.f64 (.f64 1/8 (/.f64 x eps)) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) 1/2)) (.f64 (*.f64 (pow.f64 x 3) (pow.f64 eps -2)) (/.f64 x eps)))
(/.f64 (+.f64 (.f64 1/8 x) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) (.f64 eps 1/2))) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) x))
(/.f64 (+.f64 (.f64 1/8 (/.f64 x (.f64 eps 1/2))) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) 1)) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) (/.f64 x (*.f64 eps 1/2))))
(/.f64 (+.f64 (.f64 1/8 (neg.f64 x)) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) (.f64 eps 1/2))) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) (neg.f64 x)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) 1/8) (/.f64 x eps)) (.f64 (pow.f64 x 3) 1/2)) (*.f64 (pow.f64 x 3) (/.f64 x eps)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) 1/8) x) (.f64 (pow.f64 x 3) (*.f64 eps 1/2))) (pow.f64 x 4))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) 1/8) (/.f64 x (.f64 eps 1/2))) (.f64 (pow.f64 x 3) 1)) (.f64 (pow.f64 x 3) (/.f64 x (*.f64 eps 1/2))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) 1/8) (neg.f64 x)) (.f64 (pow.f64 x 3) (*.f64 eps 1/2))) (neg.f64 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 (.f64 eps 1/8) (/.f64 x eps)) (.f64 (/.f64 (pow.f64 x 3) eps) 1/2)) (.f64 (/.f64 (pow.f64 x 3) eps) (/.f64 x eps)))
(/.f64 (+.f64 (.f64 (.f64 eps 1/8) x) (.f64 (/.f64 (pow.f64 x 3) eps) (.f64 eps 1/2))) (*.f64 (/.f64 (pow.f64 x 3) eps) x))
(/.f64 (+.f64 (.f64 (.f64 eps 1/8) (/.f64 x (.f64 eps 1/2))) (.f64 (/.f64 (pow.f64 x 3) eps) 1)) (.f64 (/.f64 (pow.f64 x 3) eps) (/.f64 x (.f64 eps 1/2))))
(/.f64 (+.f64 (.f64 (.f64 eps 1/8) (neg.f64 x)) (.f64 (/.f64 (pow.f64 x 3) eps) (.f64 eps 1/2))) (*.f64 (/.f64 (pow.f64 x 3) eps) (neg.f64 x)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) 1/8) (/.f64 x eps)) (.f64 (pow.f64 (neg.f64 x) 3) 1/2)) (*.f64 (pow.f64 (neg.f64 x) 3) (/.f64 x eps)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) 1/8) x) (.f64 (pow.f64 (neg.f64 x) 3) (*.f64 eps 1/2))) (neg.f64 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) 1/8) (/.f64 x (.f64 eps 1/2))) (.f64 (pow.f64 (neg.f64 x) 3) 1)) (.f64 (pow.f64 (neg.f64 x) 3) (/.f64 x (*.f64 eps 1/2))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) 1/8) (neg.f64 x)) (.f64 (pow.f64 (neg.f64 x) 3) (*.f64 eps 1/2))) (pow.f64 x 4))
(/.f64 (-.f64 (.f64 1/8 (/.f64 x eps)) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) 1/2)) (.f64 (*.f64 (pow.f64 x 3) (pow.f64 eps -2)) (/.f64 x eps)))
(/.f64 (-.f64 (.f64 1/8 x) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) (.f64 eps 1/2))) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) x))
(/.f64 (-.f64 (.f64 1/8 (/.f64 x (.f64 eps 1/2))) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) 1)) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) (/.f64 x (*.f64 eps 1/2))))
(/.f64 (-.f64 (.f64 1/8 (neg.f64 x)) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) (.f64 eps 1/2))) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps -2)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) 1/8) (/.f64 x eps)) (.f64 (pow.f64 x 3) 1/2)) (*.f64 (pow.f64 x 3) (/.f64 x eps)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) 1/8) x) (.f64 (pow.f64 x 3) (*.f64 eps 1/2))) (pow.f64 x 4))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) 1/8) (/.f64 x (.f64 eps 1/2))) (.f64 (pow.f64 x 3) 1)) (.f64 (pow.f64 x 3) (/.f64 x (*.f64 eps 1/2))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) 1/8) (neg.f64 x)) (.f64 (pow.f64 x 3) (*.f64 eps 1/2))) (neg.f64 (pow.f64 x 4)))
(/.f64 (-.f64 (.f64 (.f64 eps 1/8) (/.f64 x eps)) (.f64 (/.f64 (pow.f64 x 3) eps) 1/2)) (.f64 (/.f64 (pow.f64 x 3) eps) (/.f64 x eps)))
(/.f64 (-.f64 (.f64 (.f64 eps 1/8) x) (.f64 (/.f64 (pow.f64 x 3) eps) (.f64 eps 1/2))) (*.f64 (/.f64 (pow.f64 x 3) eps) x))
(/.f64 (-.f64 (.f64 (.f64 eps 1/8) (/.f64 x (.f64 eps 1/2))) (.f64 (/.f64 (pow.f64 x 3) eps) 1)) (.f64 (/.f64 (pow.f64 x 3) eps) (/.f64 x (.f64 eps 1/2))))
(/.f64 (-.f64 (.f64 (.f64 eps 1/8) (neg.f64 x)) (.f64 (/.f64 (pow.f64 x 3) eps) (.f64 eps 1/2))) (*.f64 (/.f64 (pow.f64 x 3) eps) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) 1/8) (/.f64 x eps)) (.f64 (pow.f64 (neg.f64 x) 3) 1/2)) (*.f64 (pow.f64 (neg.f64 x) 3) (/.f64 x eps)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) 1/8) x) (.f64 (pow.f64 (neg.f64 x) 3) (*.f64 eps 1/2))) (neg.f64 (pow.f64 x 4)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) 1/8) (/.f64 x (.f64 eps 1/2))) (.f64 (pow.f64 (neg.f64 x) 3) 1)) (.f64 (pow.f64 (neg.f64 x) 3) (/.f64 x (*.f64 eps 1/2))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) 1/8) (neg.f64 x)) (.f64 (pow.f64 (neg.f64 x) 3) (*.f64 eps 1/2))) (pow.f64 x 4))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x -3) (.f64 (.f64 eps eps) 1/8)) 3) (.f64 1/8 (pow.f64 (/.f64 eps x) 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x -3) (.f64 (.f64 eps eps) 1/8)) 2) (.f64 (.f64 1/2 (/.f64 eps x)) (-.f64 (.f64 1/2 (/.f64 eps x)) (.f64 (pow.f64 x -3) (.f64 (*.f64 eps eps) 1/8)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x -3) (.f64 (.f64 eps eps) 1/8)) 2) (pow.f64 (.f64 1/2 (/.f64 eps x)) 2))) (neg.f64 (fma.f64 (.f64 eps (.f64 eps (pow.f64 x -3))) 1/8 (*.f64 1/2 (/.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x -3) (.f64 (.f64 eps eps) 1/8)) 3) (.f64 1/8 (pow.f64 (/.f64 eps x) 3))) (+.f64 (pow.f64 (.f64 (pow.f64 x -3) (.f64 (.f64 eps eps) 1/8)) 2) (.f64 (.f64 1/2 (/.f64 eps x)) (-.f64 (.f64 1/2 (/.f64 eps x)) (.f64 (pow.f64 x -3) (.f64 (*.f64 eps eps) 1/8))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (/.f64 eps x)) 2) (pow.f64 (.f64 (pow.f64 x -3) (.f64 (.f64 eps eps) 1/8)) 2)) (-.f64 (.f64 1/2 (/.f64 eps x)) (.f64 (pow.f64 x -3) (.f64 (.f64 eps eps) 1/8))))
(exp.f64 (log.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(log.f64 (exp.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(.f64 (sqrt.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))) (sqrt.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))))
(.f64 1 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))
(pow.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))) 1)
(.f64 (.f64 (cbrt.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))) (cbrt.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))))) (cbrt.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(cbrt.f64 (.f64 (.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(binary32->binary64 (fma.f32 1/8 (/.f32 (.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (pow.f32 (binary64->binary32 x) 3)) (.f32 1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(binary32->binary64 (/.f32 (-.f32 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)) (.f32 (binary64->binary32 x) (binary64->binary32 x))) (-.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))))
(binary32->binary64 (binary64->binary32 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))))
(binary32->binary64 (-.f32 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)) (.f32 (binary64->binary32 x) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 x (sqrt.f64 (neg.f64 eps)))))
(binary32->binary64 (binary64->binary32 (-.f64 x (sqrt.f64 (neg.f64 eps)))))
(binary32->binary64 (-.f32 (binary64->binary32 x) (sqrt.f32 (neg.f32 (binary64->binary32 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(binary32->binary64 (fma.f32 1/8 (/.f32 (.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (pow.f32 (binary64->binary32 x) 3)) (.f32 1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 eps eps) (pow.f64 x 3))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 eps eps) (pow.f64 x 3))))
(binary32->binary64 (/.f32 (*.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (pow.f32 (binary64->binary32 x) 3)))

Outputs
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
(fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))))
(fma.f64 -1 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (.f64 x x)) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1) -1/2) (.f64 x x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))) (.f64 (pow.f64 x 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 eps (pow.f64 (sqrt.f64 -1) 4)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))))))))
(fma.f64 -1 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (.f64 x x)) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)) (.f64 (pow.f64 x 3) (-.f64 (/.f64 1/2 (.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (sqrt.f64 -1)))))))))
(-.f64 (-.f64 (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 eps) (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1) -1/2) (sqrt.f64 -1)))) (/.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (/.f64 x -1)) (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1) -1/2) (*.f64 x x)))
(*.f64 1/2 (/.f64 eps x))
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(fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(.f64 (.f64 (cbrt.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))) (cbrt.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))))) (cbrt.f64 (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 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(cbrt.f64 (.f64 (.f64 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(cbrt.f64 (.f64 (fma.f64 1/8 (.f64 eps (/.f64 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x))) (.f64 (fma.f64 1/8 (.f64 eps (/.f64 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x))) (fma.f64 1/8 (.f64 eps (/.f64 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps)))) 3))
(log1p.f64 (expm1.f64 (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 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(expm1.f64 (log1p.f64 (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 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/8 (.f64 eps (/.f64 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/8 (.f64 eps (/.f64 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))))
(binary32->binary64 (fma.f32 1/8 (/.f32 (.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (pow.f32 (binary64->binary32 x) 3)) (.f32 1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 1/8 (/.f32 (binary64->binary32 eps) (/.f32 (pow.f32 (binary64->binary32 x) 3) (binary64->binary32 eps))) (*.f32 1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x x))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (.f64 x x) (fma.f64 x x eps)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x x))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (.f64 x x) (fma.f64 x x eps)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x))))
(binary32->binary64 (/.f32 (-.f32 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)) (.f32 (binary64->binary32 x) (binary64->binary32 x))) (-.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))) (binary64->binary32 x))))
(binary32->binary64 (/.f32 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (+.f32 (binary64->binary32 eps) (.f32 (binary64->binary32 x) (binary64->binary32 x)))) (-.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))) (binary64->binary32 x))))
(binary32->binary64 (/.f32 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (+.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps))) (-.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 x x) (+.f64 eps (.f64 x x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) (fma.f64 x x eps))))
(binary32->binary64 (binary64->binary32 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 x x) (+.f64 eps (.f64 x x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) (fma.f64 x x eps))))
(binary32->binary64 (-.f32 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)) (.f32 (binary64->binary32 x) (binary64->binary32 x))))
(binary32->binary64 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (+.f32 (binary64->binary32 eps) (.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (+.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (-.f64 x (sqrt.f64 (neg.f64 eps)))))
(binary32->binary64 (binary64->binary32 (-.f64 x (sqrt.f64 (neg.f64 eps)))))
(binary32->binary64 (-.f32 (binary64->binary32 x) (sqrt.f32 (neg.f32 (binary64->binary32 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/8 (.f64 eps (/.f64 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/8 (.f64 eps (/.f64 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (/.f64 eps x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))))
(binary32->binary64 (fma.f32 1/8 (/.f32 (.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (pow.f32 (binary64->binary32 x) 3)) (.f32 1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 1/8 (/.f32 (binary64->binary32 eps) (/.f32 (pow.f32 (binary64->binary32 x) 3) (binary64->binary32 eps))) (*.f32 1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 eps eps) (pow.f64 x 3))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (/.f64 eps (pow.f64 x 3)))))
(binary32->binary64 (binary64->binary32 (.f64 (pow.f64 x -3) (.f64 eps eps))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 eps eps) (pow.f64 x 3))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (/.f64 eps (pow.f64 x 3)))))
(binary32->binary64 (binary64->binary32 (.f64 (pow.f64 x -3) (.f64 eps eps))))
(binary32->binary64 (/.f32 (*.f32 (binary64->binary32 eps) (binary64->binary32 eps)) (pow.f32 (binary64->binary32 x) 3)))
(binary32->binary64 (/.f32 (binary64->binary32 eps) (/.f32 (pow.f32 (binary64->binary32 x) 3) (binary64->binary32 eps))))

eval1.2s (10.2%)

Compiler: Compiled 41218 to 15435 computations (62.6% saved)

prune312.0ms (2.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1207	5	1212
Fresh	2	2	4
Picked	3	2	5
Done	0	1	1
Total	1212	10	1222

Accuracy

100.0%

Counts

1222 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.2%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))
▶	7.0%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 x) x))
▶	99.6%	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
▶	6.9%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
✓	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.5%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	4.2%	(-.f64 x x)
	37.0%	(+.f64 (.f64 (pow.f64 x -3) (.f64 (.f64 eps eps) 1/8)) (.f64 1/2 (/.f64 eps x)))
✓	42.8%	(*.f64 1/2 (/.f64 eps x))
	3.5%	x
▶	7.2%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))
▶	7.0%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 x) x))
▶	99.6%	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
▶	6.9%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
✓	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.5%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	4.2%	(-.f64 x x)
	37.0%	(+.f64 (.f64 (pow.f64 x -3) (.f64 (.f64 eps eps) 1/8)) (.f64 1/2 (/.f64 eps x)))
✓	42.8%	(*.f64 1/2 (/.f64 eps x))
	3.5%	x

Compiler

Compiled 394 to 240 computations (39.1% saved)

localize229.0ms (2%)

Localize:

Found 24 expressions with local error:

New	Accuracy	Program
	99.9%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))
	100.0%	(-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)
	100.0%	(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
	100.0%	(-.f64 (*.f64 x x) eps)
	63.9%	(-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))
	100.0%	(-.f64 (*.f64 x x) eps)
	63.4%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
	100.0%	(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
	99.6%	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
	100.0%	(-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
	100.0%	(-.f64 (*.f64 x x) eps)
✓	100.0%	(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
✓	100.0%	(-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)
✓	99.9%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))
	63.9%	(-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))
	100.0%	(-.f64 (*.f64 x x) eps)
	63.9%	(-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))
✓	100.0%	(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
✓	63.4%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
	100.0%	(-.f64 (*.f64 x x) eps)
✓	100.0%	(-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	99.6%	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))

Compiler

Compiled 192 to 47 computations (75.5% saved)

series12.0ms (0.1%)

Counts

7 → 116

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))
1.0ms	eps	@	-inf	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))
1.0ms	eps	@	inf	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
0.0ms	eps	@	-inf	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
0.0ms	x	@	0	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))

rewrite142.0ms (1.2%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

656×	`frac-2neg`
472×	`cancel-sign-sub-inv`
412×	`flip3-+`
402×	`div-sub`
384×	`flip-+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	215
1	143	183
2	1368	175

Stop Event

1×	node limit

Counts

7 → 368

Calls

Call 1

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

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

Calls

26 calls:

1.0ms	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
0.0ms	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
0.0ms	(-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
0.0ms	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
0.0ms	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))

simplify247.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1096×	`fma-def`
960×	`times-frac`
939×	`*-commutative`
756×	`distribute-lft-in`
668×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	933	26080
1	3037	24154

Stop Event

1×	node limit

Counts

484 → 560

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))) (.f64 (pow.f64 x 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 eps (pow.f64 (sqrt.f64 -1) 4)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (pow.f64 eps 4)) (.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 2)) (.f64 1/4 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 eps (+.f64 (.f64 -1/8 (pow.f64 eps 2)) (.f64 1/4 (pow.f64 eps 2))))) (+.f64 (.f64 -1/16 (pow.f64 eps 3)) (.f64 2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2)) eps)))) (pow.f64 x 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 2)) (.f64 1/4 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))))
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (.f64 -1 x) (.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 -2 x) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 -2 x) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 -2 x) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 -2 x) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 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))
x
x
x
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 eps x))
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(/.f64 (+.f64 (pow.f64 (neg.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 (-.f64 (*.f64 (/.f64 eps x) 1/2) x) (neg.f64 x)))))
(/.f64 (-.f64 0 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (-.f64 (-.f64 (.f64 (/.f64 eps x) 1/2) x) x) 2) (.f64 0 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (.f64 x (.f64 (/.f64 eps x) 1/2)))) 3) (pow.f64 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (.f64 x (.f64 (/.f64 eps x) 1/2)))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (.f64 x (.f64 (/.f64 eps x) 1/2)))) (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (.f64 x (.f64 (/.f64 eps x) 1/2))))) (+.f64 (.f64 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (.f64 x (.f64 (/.f64 eps x) 1/2)))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (.f64 x (.f64 (/.f64 eps x) 1/2))))) (.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (.f64 x (.f64 (/.f64 eps x) 1/2)))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (.f64 x (*.f64 (/.f64 eps x) 1/2))))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (/.f64 eps x))) 3) (pow.f64 (.f64 (/.f64 x (/.f64 eps x)) (/.f64 x 1/2)) 3)) (+.f64 (.f64 (.f64 2 (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (/.f64 eps x))) (.f64 2 (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (/.f64 eps x)))) (+.f64 (.f64 (.f64 (/.f64 x (/.f64 eps x)) (/.f64 x 1/2)) (.f64 (/.f64 x (/.f64 eps x)) (/.f64 x 1/2))) (.f64 (.f64 2 (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (/.f64 eps x))) (*.f64 (/.f64 x (/.f64 eps x)) (/.f64 x 1/2))))))
(pow.f64 (/.f64 -1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) -1)
(neg.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))
(fma.f64 -1 (fma.f64 -1/2 (/.f64 eps x) x) (neg.f64 x))
(exp.f64 (log.f64 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(log.f64 (exp.f64 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(.f64 (sqrt.f64 (-.f64 (neg.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x)))) x)) (sqrt.f64 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(.f64 1 (-.f64 (neg.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x)))) x))
(pow.f64 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x) 1)
(.f64 (.f64 (cbrt.f64 (-.f64 (neg.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x)))) x)) (cbrt.f64 (-.f64 (neg.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x)))) x))) (cbrt.f64 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(cbrt.f64 (.f64 (.f64 (-.f64 (neg.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x)))) x) (-.f64 (neg.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x)))) x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(log1p.f64 (expm1.f64 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(expm1.f64 (log1p.f64 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(binary32->binary64 (-.f32 (neg.f32 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x))))) (binary64->binary32 x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (/.f64 eps x) 1/2))) (/.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (+.f64 x (.f64 (/.f64 eps x) 1/2))))
(-.f64 (/.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)))
(*.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1)
(.f64 (-.f64 (.f64 (/.f64 eps x) 1/2) x) -1)
(.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3))) (/.f64 1 (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))
(.f64 (fma.f64 x x (.f64 (pow.f64 (/.f64 eps x) 2) -1/4)) (/.f64 1 (+.f64 x (*.f64 (/.f64 eps x) 1/2))))
(.f64 -1 (-.f64 (.f64 (/.f64 eps x) 1/2) x))
(*.f64 1 (fma.f64 -1/2 (/.f64 eps x) x))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3))) (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3))) (+.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (+.f64 (.f64 x x) (.f64 x (*.f64 (/.f64 eps x) 1/2)))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (/.f64 eps x) 2) -1/4)) (+.f64 x (.f64 (/.f64 eps x) 1/2)))
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))) (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3))))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x (.f64 (/.f64 eps x) 1/2)) (fma.f64 x x (.f64 (pow.f64 (/.f64 eps x) 2) -1/4)))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))) (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3)))))
(/.f64 1 (/.f64 (+.f64 x (.f64 (/.f64 eps x) 1/2)) (fma.f64 x x (.f64 (pow.f64 (/.f64 eps x) 2) -1/4))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (.f64 (/.f64 eps x) 1/2) 3)) (neg.f64 (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (-.f64 (.f64 -1/2 (/.f64 eps x)) x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (.f64 (/.f64 eps x) 1/2) 3)) (neg.f64 (+.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (+.f64 (.f64 x x) (.f64 x (*.f64 (/.f64 eps x) 1/2))))))
(/.f64 (neg.f64 (fma.f64 x x (.f64 (pow.f64 (/.f64 eps x) 2) -1/4))) (+.f64 (neg.f64 x) (.f64 -1/2 (/.f64 eps x))))
(/.f64 (+.f64 0 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (+.f64 0 (-.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 0 (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (.f64 x x)) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(/.f64 (-.f64 0 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (-.f64 (*.f64 (/.f64 eps x) 1/2) x))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (.f64 (/.f64 eps x) 1/2))) (.f64 (+.f64 x (.f64 (/.f64 eps x) 1/2)) (.f64 1/4 (pow.f64 (/.f64 eps x) 2)))) (pow.f64 (+.f64 x (*.f64 (/.f64 eps x) 1/2)) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (.f64 (/.f64 eps x) 1/2) 3))) (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (.f64 (/.f64 eps x) 1/2) 3))) (neg.f64 (neg.f64 (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x (.f64 (pow.f64 (/.f64 eps x) 2) -1/4)))) (+.f64 x (.f64 (/.f64 eps x) 1/2)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x (.f64 (pow.f64 (/.f64 eps x) 2) -1/4)))) (neg.f64 (+.f64 (neg.f64 x) (.f64 -1/2 (/.f64 eps x)))))
(/.f64 (neg.f64 (+.f64 0 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (+.f64 0 (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 0 (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 (neg.f64 (-.f64 0 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (fma.f64 -1/2 (/.f64 eps x) x))
(/.f64 (neg.f64 (.f64 -1 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3))))) (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(/.f64 (neg.f64 (.f64 -1 (fma.f64 x x (.f64 (pow.f64 (/.f64 eps x) 2) -1/4)))) (+.f64 x (*.f64 (/.f64 eps x) 1/2)))
(/.f64 (neg.f64 (-.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (/.f64 eps x) 1/2))) 3) (pow.f64 (/.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (+.f64 x (.f64 (/.f64 eps x) 1/2))) 3)) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (/.f64 eps x) 1/2))) (/.f64 (.f64 x x) (+.f64 x (.f64 (/.f64 eps x) 1/2)))) (+.f64 (.f64 (/.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (+.f64 x (.f64 (/.f64 eps x) 1/2))) (/.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (+.f64 x (.f64 (/.f64 eps x) 1/2)))) (.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (/.f64 eps x) 1/2))) (/.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (+.f64 x (*.f64 (/.f64 eps x) 1/2)))))))
(pow.f64 (/.f64 (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))) (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3)))) -1)
(pow.f64 (/.f64 (+.f64 x (.f64 (/.f64 eps x) 1/2)) (fma.f64 x x (.f64 (pow.f64 (/.f64 eps x) 2) -1/4))) -1)
(neg.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) x))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (/.f64 eps x) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 -1/2 (/.f64 eps x)) (-.f64 (.f64 -1/2 (/.f64 eps x)) x))))))
(fma.f64 -1/2 (/.f64 eps x) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(exp.f64 (log.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(log.f64 (exp.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(.f64 (sqrt.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x)))) (sqrt.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(.f64 1 (+.f64 x (.f64 -1/2 (/.f64 eps x))))
(pow.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x))) 1)
(.f64 (.f64 (cbrt.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x)))) (cbrt.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x))))) (cbrt.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(cbrt.f64 (.f64 (.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x))) (+.f64 x (.f64 -1/2 (/.f64 eps x)))) (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(binary32->binary64 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)))
(binary32->binary64 (-.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(binary32->binary64 (/.f32 (neg.f32 (binary64->binary32 eps)) (-.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(binary32->binary64 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(binary32->binary64 (binary64->binary32 (-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(binary32->binary64 (-.f32 (binary64->binary32 x) (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))))
(binary32->binary64 (binary64->binary32 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))))
(binary32->binary64 (-.f32 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)) (.f32 (binary64->binary32 x) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(binary32->binary64 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(binary32->binary64 (-.f32 (neg.f32 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x))))) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))))
(binary32->binary64 (/.f32 (-.f32 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)) (.f32 (binary64->binary32 x) (binary64->binary32 x))) (-.f32 (neg.f32 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x))))) (binary64->binary32 x))))

Outputs
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (/.f64 x 1/2))
(+.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 eps (/.f64 x 1/2)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/8 (.f64 eps eps)) (pow.f64 x 3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (/.f64 eps (/.f64 x 1/2))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/8 (.f64 eps eps)) (pow.f64 x 3))))
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(fma.f64 (/.f64 eps x) -1/2 x)
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(binary32->binary64 (binary64->binary32 (fma.f64 (/.f64 eps x) -1/2 x)))
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(binary32->binary64 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (binary64->binary32 x)))
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(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
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(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
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(binary32->binary64 (/.f32 (neg.f32 (binary64->binary32 eps)) (-.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))) (binary64->binary32 x))))
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(binary32->binary64 (binary64->binary32 (fma.f64 (/.f64 eps x) -1/2 x)))
(binary32->binary64 (binary64->binary32 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (/.f64 eps x) -1/2 x)))
(binary32->binary64 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (binary64->binary32 x)))
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(binary32->binary64 (binary64->binary32 (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))
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(binary32->binary64 (*.f32 1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
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(binary32->binary64 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))
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(binary32->binary64 (binary64->binary32 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 x x) (+.f64 eps (.f64 x x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) (fma.f64 x x eps))))
(binary32->binary64 (-.f32 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)) (.f32 (binary64->binary32 x) (binary64->binary32 x))))
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(binary32->binary64 (-.f32 (neg.f32 (fma.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (binary64->binary32 x))) (binary64->binary32 x)))
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(binary32->binary64 (/.f32 (-.f32 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)) (.f32 (binary64->binary32 x) (binary64->binary32 x))) (-.f32 (neg.f32 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x))))) (binary64->binary32 x))))
(binary32->binary64 (/.f32 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (+.f32 (binary64->binary32 eps) (.f32 (binary64->binary32 x) (binary64->binary32 x)))) (-.f32 (neg.f32 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x))))) (binary64->binary32 x))))
(binary32->binary64 (/.f32 (-.f32 (.f32 (binary64->binary32 x) (binary64->binary32 x)) (+.f32 (binary64->binary32 eps) (.f32 (binary64->binary32 x) (binary64->binary32 x)))) (-.f32 (neg.f32 (fma.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (binary64->binary32 x))) (binary64->binary32 x))))

eval1.6s (14.2%)

Compiler: Compiled 99735 to 40921 computations (59% saved)

prune540.0ms (4.7%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	2688	13	2701
Fresh	1	1	2
Picked	2	3	5
Done	0	3	3
Total	2691	20	2711

Accuracy

100.0%

Counts

2711 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.3%	(/.f64 (-.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))
	7.0%	(/.f64 (-.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 x x)) (-.f64 (neg.f64 x) x))
✓	7.2%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))
	7.2%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (.f64 (.f64 x (/.f64 (*.f64 1/2 (/.f64 eps x)) eps)) (-.f64 (/.f64 eps x) (/.f64 (+.f64 x x) 1/2))))
	6.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 (.f64 (/.f64 eps x) 1/2) x) (+.f64 (.f64 (/.f64 eps x) 1/2) x))) (-.f64 (neg.f64 x) (+.f64 (*.f64 (/.f64 eps x) 1/2) x)))
▶	5.2%	(/.f64 (-.f64 (neg.f64 eps) (*.f64 x x)) (-.f64 (neg.f64 x) x))
▶	62.6%	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))
	43.6%	(/.f64 (neg.f64 eps) (+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x))))
▶	99.6%	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	99.4%	(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
▶	42.6%	(/.f64 1/2 (/.f64 x eps))
	42.8%	(/.f64 -1 (/.f64 -2 (/.f64 eps x)))
✓	6.9%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
✓	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.5%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.2%	(-.f64 x x)
	99.3%	(.f64 eps (/.f64 1 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
	42.6%	(.f64 eps (.f64 (/.f64 1 x) 1/2))
✓	42.8%	(*.f64 1/2 (/.f64 eps x))
	3.5%	x
▶	7.3%	(/.f64 (-.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))
	7.0%	(/.f64 (-.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 x x)) (-.f64 (neg.f64 x) x))
✓	7.2%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))
	7.2%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (.f64 (.f64 x (/.f64 (*.f64 1/2 (/.f64 eps x)) eps)) (-.f64 (/.f64 eps x) (/.f64 (+.f64 x x) 1/2))))
	6.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 (.f64 (/.f64 eps x) 1/2) x) (+.f64 (.f64 (/.f64 eps x) 1/2) x))) (-.f64 (neg.f64 x) (+.f64 (*.f64 (/.f64 eps x) 1/2) x)))
▶	5.2%	(/.f64 (-.f64 (neg.f64 eps) (*.f64 x x)) (-.f64 (neg.f64 x) x))
▶	62.6%	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))
	43.6%	(/.f64 (neg.f64 eps) (+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x))))
▶	99.6%	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	99.4%	(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
▶	42.6%	(/.f64 1/2 (/.f64 x eps))
	42.8%	(/.f64 -1 (/.f64 -2 (/.f64 eps x)))
✓	6.9%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
✓	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.5%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.2%	(-.f64 x x)
	99.3%	(.f64 eps (/.f64 1 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
	42.6%	(.f64 eps (.f64 (/.f64 1 x) 1/2))
✓	42.8%	(*.f64 1/2 (/.f64 eps x))
	3.5%	x

Compiler

Compiled 978 to 604 computations (38.2% saved)

localize169.0ms (1.5%)

Localize:

Found 22 expressions with local error:

New	Accuracy	Program
	99.6%	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))
	100.0%	(-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)
	99.9%	(/.f64 1 (-.f64 (*.f64 x x) eps))
	100.0%	(-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)
	100.0%	(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
	100.0%	(-.f64 (*.f64 x x) eps)
	100.0%	(/.f64 (-.f64 (neg.f64 eps) (*.f64 x x)) (-.f64 (neg.f64 x) x))
	99.7%	(/.f64 1/2 (/.f64 x eps))
	99.6%	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
	100.0%	(-.f64 (*.f64 x x) eps)
✓	100.0%	(-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)
✓	99.6%	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))
✓	99.9%	(/.f64 1 (-.f64 (*.f64 x x) eps))
✓	99.9%	(/.f64 (-.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))
✓	99.7%	(/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps)))
✓	80.2%	(-.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 x x))
✓	100.0%	(/.f64 (-.f64 (neg.f64 eps) (*.f64 x x)) (-.f64 (neg.f64 x) x))
✓	99.7%	(/.f64 1/2 (/.f64 x eps))
	100.0%	(-.f64 (*.f64 x x) eps)
	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	99.6%	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

Compiler

Compiled 202 to 60 computations (70.3% saved)

series17.0ms (0.1%)

Counts

9 → 186

Calls

54 calls:

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

rewrite144.0ms (1.3%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1052×	`frac-2neg`
722×	`frac-add`
602×	`cancel-sign-sub-inv`
498×	`flip3-+`
422×	`flip3--`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	239
1	225	219
2	2028	219

Stop Event

1×	node limit

Counts

9 → 319

Calls

Call 1

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

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

Calls

29 calls:

1.0ms	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
0.0ms	(/.f64 1 (-.f64 (*.f64 x x) eps))
0.0ms	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
0.0ms	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))
0.0ms	(/.f64 1/2 (/.f64 x eps))

simplify194.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1394×	`times-frac`
1260×	`fma-def`
756×	`*-commutative`
650×	`distribute-lft-in`
627×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	964	21073
1	2844	17753

Stop Event

1×	node limit

Counts

505 → 532

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))) (.f64 (pow.f64 x 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 eps (pow.f64 (sqrt.f64 -1) 4)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (pow.f64 eps 4)) (.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 2 x))))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 eps 4)) (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2)) (.f64 eps (pow.f64 x 5)))) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/4 (/.f64 (.f64 eps (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 eps x)))
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.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 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))))
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))))
(/.f64 -1 eps)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 4))))) (/.f64 1 eps))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 eps (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 6)) (/.f64 (pow.f64 eps 3) (pow.f64 x 8)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 eps (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 6)) (/.f64 (pow.f64 eps 3) (pow.f64 x 8)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 eps (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 6)) (/.f64 (pow.f64 eps 3) (pow.f64 x 8)))))
(/.f64 -1 eps)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 4))))) (/.f64 1 eps))
(/.f64 -1 eps)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 4))))) (/.f64 1 eps))
(/.f64 eps x)
(*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
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(neg.f64 (/.f64 eps (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(exp.f64 (log.f64 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))))
(log.f64 (exp.f64 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))) (sqrt.f64 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))))
(*.f64 1 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(pow.f64 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)) 1)
(.f64 (.f64 (cbrt.f64 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))) (cbrt.f64 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))) (cbrt.f64 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))))
(cbrt.f64 (.f64 (.f64 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)) (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))) (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))))
(binary32->binary64 (/.f32 (neg.f32 (binary64->binary32 eps)) (-.f32 (neg.f32 (sqrt.f32 (neg.f32 (binary64->binary32 eps)))) (binary64->binary32 x))))
(+.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (neg.f64 x))
(*.f64 -1 (+.f64 (sqrt.f64 (neg.f64 eps)) x))
(.f64 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)))))
(.f64 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 x x)) (/.f64 1 (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x x))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3) (pow.f64 x 3)))))
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (+.f64 (.f64 x x) (.f64 (sqrt.f64 (neg.f64 eps)) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x x)) (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))
(/.f64 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (+.f64 (.f64 x x) (.f64 (sqrt.f64 (neg.f64 eps)) (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x x))) (neg.f64 (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x x))) (neg.f64 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (neg.f64 x))))
(/.f64 (+.f64 (.f64 (neg.f64 (.f64 x x)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 0 (sqrt.f64 (neg.f64 eps)))))) (.f64 (+.f64 0 x) (-.f64 0 (pow.f64 (sqrt.f64 (neg.f64 eps)) 3)))) (.f64 (+.f64 0 x) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 0 (sqrt.f64 (neg.f64 eps)))))))
(/.f64 (+.f64 (.f64 (neg.f64 (.f64 x x)) (+.f64 0 (sqrt.f64 (neg.f64 eps)))) (.f64 (+.f64 0 x) (-.f64 0 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2)))) (.f64 (+.f64 0 x) (+.f64 0 (sqrt.f64 (neg.f64 eps)))))
(/.f64 (+.f64 (.f64 (-.f64 0 (pow.f64 x 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 0 (sqrt.f64 (neg.f64 eps)))))) (.f64 (+.f64 0 (+.f64 (.f64 x x) (.f64 0 x))) (-.f64 0 (pow.f64 (sqrt.f64 (neg.f64 eps)) 3)))) (.f64 (+.f64 0 (+.f64 (.f64 x x) (.f64 0 x))) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 0 (sqrt.f64 (neg.f64 eps)))))))
(/.f64 (+.f64 (.f64 (-.f64 0 (pow.f64 x 3)) (+.f64 0 (sqrt.f64 (neg.f64 eps)))) (.f64 (+.f64 0 (+.f64 (.f64 x x) (.f64 0 x))) (-.f64 0 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2)))) (.f64 (+.f64 0 (+.f64 (.f64 x x) (*.f64 0 x))) (+.f64 0 (sqrt.f64 (neg.f64 eps)))))
(/.f64 (+.f64 (.f64 (-.f64 0 (pow.f64 (sqrt.f64 (neg.f64 eps)) 3)) (+.f64 0 x)) (.f64 (+.f64 0 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 0 (sqrt.f64 (neg.f64 eps))))) (neg.f64 (.f64 x x)))) (.f64 (+.f64 0 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 0 (sqrt.f64 (neg.f64 eps))))) (+.f64 0 x)))
(/.f64 (+.f64 (.f64 (-.f64 0 (pow.f64 (sqrt.f64 (neg.f64 eps)) 3)) (+.f64 0 (+.f64 (.f64 x x) (.f64 0 x)))) (.f64 (+.f64 0 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 0 (sqrt.f64 (neg.f64 eps))))) (-.f64 0 (pow.f64 x 3)))) (.f64 (+.f64 0 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 0 (sqrt.f64 (neg.f64 eps))))) (+.f64 0 (+.f64 (.f64 x x) (*.f64 0 x)))))
(/.f64 (+.f64 (.f64 (-.f64 0 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2)) (+.f64 0 x)) (.f64 (+.f64 0 (sqrt.f64 (neg.f64 eps))) (neg.f64 (.f64 x x)))) (.f64 (+.f64 0 (sqrt.f64 (neg.f64 eps))) (+.f64 0 x)))
(/.f64 (+.f64 (.f64 (-.f64 0 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2)) (+.f64 0 (+.f64 (.f64 x x) (.f64 0 x)))) (.f64 (+.f64 0 (sqrt.f64 (neg.f64 eps))) (-.f64 0 (pow.f64 x 3)))) (.f64 (+.f64 0 (sqrt.f64 (neg.f64 eps))) (+.f64 0 (+.f64 (.f64 x x) (*.f64 0 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3) (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)))) (.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))) (pow.f64 x 3))) (.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))) (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)) (.f64 (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x) (.f64 x x))) (.f64 (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x) (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3) (pow.f64 x 3)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (neg.f64 eps)))))))
(/.f64 (-.f64 0 (pow.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) x) 3)) (+.f64 0 (+.f64 (.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) x) (+.f64 (sqrt.f64 (neg.f64 eps)) x)) (.f64 0 (+.f64 (sqrt.f64 (neg.f64 eps)) x)))))
(/.f64 (-.f64 0 (pow.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) (neg.f64 x)) 3)) (+.f64 0 (+.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) (neg.f64 x)) (-.f64 (sqrt.f64 (neg.f64 eps)) (neg.f64 x))) (.f64 0 (-.f64 (sqrt.f64 (neg.f64 eps)) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3) (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)))) 3) (pow.f64 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3) (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)))) (/.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3) (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))))) (+.f64 (.f64 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))))) (.f64 (/.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3) (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (*.f64 x (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)) 3) (pow.f64 (/.f64 (.f64 x x) (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 (.f64 x x) (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))) (.f64 (/.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 2) (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 (*.f64 x x) (fma.f64 -1 (sqrt.f64 (neg.f64 eps)) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 0) 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 0) (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 0)) (+.f64 (.f64 x x) (*.f64 (+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 0) x))))
(neg.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) x))
(fma.f64 -1 (sqrt.f64 (neg.f64 eps)) (neg.f64 x))
(exp.f64 (log.f64 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(log.f64 (exp.f64 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)) (sqrt.f64 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(*.f64 1 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))
(pow.f64 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x) 1)
(.f64 (.f64 (cbrt.f64 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)) (cbrt.f64 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))) (cbrt.f64 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(cbrt.f64 (.f64 (.f64 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(log1p.f64 (expm1.f64 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(expm1.f64 (log1p.f64 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(binary32->binary64 (-.f32 (neg.f32 (sqrt.f32 (neg.f32 (binary64->binary32 eps)))) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(binary32->binary64 (binary64->binary32 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(binary32->binary64 (/.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 x) (sqrt.f32 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps))))))
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 x eps))))
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 x eps))))
(binary32->binary64 (/.f32 1/2 (/.f32 (binary64->binary32 x) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (neg.f64 eps) (*.f64 x x)) (-.f64 (neg.f64 x) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (neg.f64 eps) (*.f64 x x)) (-.f64 (neg.f64 x) x))))
(binary32->binary64 (/.f32 (-.f32 (neg.f32 (binary64->binary32 eps)) (*.f32 (binary64->binary32 x) (binary64->binary32 x))) (-.f32 (neg.f32 (binary64->binary32 x)) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(binary32->binary64 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(binary32->binary64 (-.f32 (neg.f32 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x))))) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 1 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (/.f32 1 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(binary32->binary64 (-.f32 (neg.f32 (sqrt.f32 (neg.f32 (binary64->binary32 eps)))) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))))
(binary32->binary64 (/.f32 (neg.f32 (binary64->binary32 eps)) (-.f32 (neg.f32 (sqrt.f32 (neg.f32 (binary64->binary32 eps)))) (binary64->binary32 x))))

Outputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x))))
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(binary32->binary64 (binary64->binary32 (*.f64 1/2 (/.f64 eps x))))
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 x eps))))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 (/.f64 eps x))))
(binary32->binary64 (/.f32 1/2 (/.f32 (binary64->binary32 x) (binary64->binary32 eps))))
(binary32->binary64 (*.f32 (/.f32 1/2 (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (*.f32 (binary64->binary32 eps) (/.f32 1/2 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (neg.f64 eps) (*.f64 x x)) (-.f64 (neg.f64 x) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 x x eps) (+.f64 x x))))
(binary32->binary64 (binary64->binary32 (/.f64 (-.f64 (neg.f64 eps) (*.f64 x x)) (-.f64 (neg.f64 x) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 x x eps) (+.f64 x x))))
(binary32->binary64 (/.f32 (-.f32 (neg.f32 (binary64->binary32 eps)) (*.f32 (binary64->binary32 x) (binary64->binary32 x))) (-.f32 (neg.f32 (binary64->binary32 x)) (binary64->binary32 x))))
(binary32->binary64 (/.f32 (neg.f32 (+.f32 (binary64->binary32 eps) (.f32 (binary64->binary32 x) (binary64->binary32 x)))) (.f32 2 (neg.f32 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 x x) eps)))
(binary32->binary64 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 -1/2 (/.f64 eps x) x)))
(binary32->binary64 (binary64->binary32 (fma.f64 (/.f64 eps x) -1/2 x)))
(binary32->binary64 (binary64->binary32 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 -1/2 (/.f64 eps x) x)))
(binary32->binary64 (binary64->binary32 (fma.f64 (/.f64 eps x) -1/2 x)))
(binary32->binary64 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x)))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (/.f64 eps x) (*.f64 x -2))))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x)))
(binary32->binary64 (binary64->binary32 (fma.f64 1/2 (/.f64 eps x) (*.f64 x -2))))
(binary32->binary64 (-.f32 (neg.f32 (+.f32 (binary64->binary32 x) (*.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x))))) (binary64->binary32 x)))
(binary32->binary64 (neg.f32 (+.f32 (fma.f32 -1/2 (/.f32 (binary64->binary32 eps) (binary64->binary32 x)) (binary64->binary32 x)) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (-.f64 (*.f64 x x) eps))))
(binary32->binary64 (/.f32 1 (-.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps)))))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))
(binary32->binary64 (binary64->binary32 (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps)))))
(binary32->binary64 (-.f32 (neg.f32 (sqrt.f32 (neg.f32 (binary64->binary32 eps)))) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps))))))
(binary32->binary64 (binary64->binary32 (*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 eps) (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps))))))
(binary32->binary64 (binary64->binary32 (*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))))
(binary32->binary64 (/.f32 (neg.f32 (binary64->binary32 eps)) (-.f32 (neg.f32 (sqrt.f32 (neg.f32 (binary64->binary32 eps)))) (binary64->binary32 x))))

eval605.0ms (5.3%)

Compiler: Compiled 35185 to 16597 computations (52.8% saved)

prune331.0ms (2.9%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	1044	9	1053
Fresh	3	6	9
Picked	2	3	5
Done	1	5	6
Total	1050	23	1073

Accuracy

100.0%

Counts

1073 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(/.f64 (-.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 x x)) (-.f64 (neg.f64 x) x))
	5.2%	(/.f64 (-.f64 (/.f64 1 (/.f64 -1 eps)) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (.f64 -1/2 (/.f64 eps x)))) x))
✓	7.2%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (+.f64 x (*.f64 -1/2 (/.f64 eps x)))) x))
	7.2%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (.f64 (.f64 x (/.f64 (*.f64 1/2 (/.f64 eps x)) eps)) (-.f64 (/.f64 eps x) (/.f64 (+.f64 x x) 1/2))))
	6.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 (.f64 (/.f64 eps x) 1/2) x) (+.f64 (.f64 (/.f64 eps x) 1/2) x))) (-.f64 (neg.f64 x) (+.f64 (*.f64 (/.f64 eps x) 1/2) x)))
✓	5.2%	(/.f64 (-.f64 (neg.f64 eps) (*.f64 x x)) (-.f64 (neg.f64 x) x))
	43.6%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
✓	99.6%	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	62.6%	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
	11.1%	(/.f64 eps x)
	99.4%	(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
✓	42.6%	(/.f64 1/2 (/.f64 x eps))
	7.2%	(-.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 x x))) (/.f64 x (/.f64 (-.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 x x)) x)))
✓	6.9%	(-.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
✓	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.5%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	42.6%	(*.f64 (/.f64 1/2 x) eps)
	5.3%	(*.f64 x -2)
	99.3%	(.f64 eps (/.f64 1 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
✓	42.8%	(*.f64 1/2 (/.f64 eps x))
	5.2%	(*.f64 1/2 (+.f64 x (/.f64 eps x)))
	3.5%	x
	4.2%	0

Compiler

Compiled 740 to 353 computations (52.3% saved)

regimes141.0ms (1.2%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

3 calls:

87.0ms	x
28.0ms	eps
17.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`eps`
99.6%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 449 to 176 computations (60.8% saved)

regimes148.0ms (1.3%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

3 calls:

92.0ms	eps
26.0ms	x
23.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
92.2%	2	`x`
85.4%	6	`eps`
99.7%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 324 to 139 computations (57.1% saved)

regimes43.0ms (0.4%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

1 calls:

36.0ms

Results

Accuracy	Segments	Branch
90.4%	2	`x`

Compiler

Compiled 294 to 126 computations (57.1% saved)

regimes35.0ms (0.3%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
90.4%	2	`x`

Compiler

Compiled 287 to 124 computations (56.8% saved)

regimes33.0ms (0.3%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	eps
12.0ms	x

Results

Accuracy	Segments	Branch
43.6%	1	`eps`
43.6%	1	`x`

Compiler

Compiled 285 to 124 computations (56.5% saved)

regimes20.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	eps
8.0ms	x

Results

Accuracy	Segments	Branch
43.6%	1	`x`
43.6%	1	`eps`

Compiler

Compiled 89 to 48 computations (46.1% saved)

regimes18.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
7.0ms	eps

Results

Accuracy	Segments	Branch
42.8%	1	`x`
42.8%	1	`eps`

Compiler

Compiled 67 to 37 computations (44.8% saved)

regimes11.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 eps x)

Calls

2 calls:

5.0ms	x
5.0ms	eps

Results

Accuracy	Segments	Branch
11.1%	1	`eps`
11.1%	1	`x`

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes10.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
0
x
(*.f64 x -2)
(*.f64 x 2)
(-.f64 x x)

Outputs
(*.f64 x -2)

Calls

2 calls:

5.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
5.3%	1	`x`
5.3%	1	`eps`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.7b remaining (-1.2%)

Threshold costs -0.7b (-1.2%)

Counts

2 → 1

Calls

Call 1

Inputs
0
x

Outputs
0

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
4.2%	1	`x`
4.2%	1	`eps`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6174384230410288e-151	-5.728005681561759e-152

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.260624597603187e-104	4.407876809267859e-103

Results

7.0ms	75×	body	256	valid
3.0ms	21×	body	512	valid
1.0ms	11×	body	256	invalid

Compiler

Compiled 165 to 118 computations (28.5% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.260624597603187e-104	4.407876809267859e-103

Results

9.0ms	79×	body	256	valid
2.0ms	17×	body	512	valid
1.0ms	13×	body	256	invalid

Compiler

Compiled 153 to 112 computations (26.8% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	336
1	59	336
2	70	336
3	77	336
4	80	336

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))) -2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (neg.f64 eps) (+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))))
(if (<=.f64 x 2219120988980937/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 (neg.f64 eps) (+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))))
(if (<=.f64 x 2219120988980937/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (neg.f64 eps) (+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))))
(/.f64 (neg.f64 eps) (+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x))))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps x)
(*.f64 x -2)
0

Outputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (neg.f64 eps) (+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (neg.f64 eps) (+.f64 (.f64 x -2) (.f64 1/2 (/.f64 eps x)))))
(if (<=.f64 x 2219120988980937/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 (neg.f64 eps) (+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))))
(if (<=.f64 x 2219120988980937/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 (neg.f64 eps) (+.f64 (.f64 x -2) (.f64 1/2 (/.f64 eps x)))))
(if (<=.f64 x 2219120988980937/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (neg.f64 eps) (+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))))
(if (<=.f64 x 2219120988980937/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (neg.f64 eps) (+.f64 (.f64 x -2) (.f64 1/2 (/.f64 eps x)))))
(/.f64 (neg.f64 eps) (+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x))))
(/.f64 (neg.f64 eps) (+.f64 (.f64 x -2) (.f64 1/2 (/.f64 eps x))))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps x)
(*.f64 x -2)
0

Compiler

Compiled 140 to 88 computations (37.1% saved)

soundness2.1s (18%)

Rules

1608×	`frac-2neg`
1608×	`frac-2neg`
1394×	`times-frac`
1394×	`times-frac`
1394×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	43	53
2	325	53
3	3930	53
0	1035	24594
1	3092	22860
0	913	24983
1	2829	24085
0	33	239
1	225	219
2	2028	219
0	964	21073
1	2844	17753
0	9	53
1	43	53
2	325	53
3	3930	53
0	964	21073
1	2844	17753
0	21	215
1	143	183
2	1368	175
0	933	26080
1	3037	24154
0	33	239
1	225	219
2	2028	219
0	964	21073
1	2844	17753

Stop Event

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

Compiler

Compiled 840 to 277 computations (67% saved)

end0.0ms (0%)

preprocess145.0ms (1.3%)

Compiler: Compiled 288 to 140 computations (51.4% saved)

Iter	Nodes	Cost
0	22	123
1	51	115
2	105	115
3	279	115
4	580	115
5	835	115
6	930	115
7	959	115
8	965	115

Iter	Nodes	Cost
0	22	123
1	51	115
2	105	115
3	279	115
4	580	115
5	835	115
6	930	115
7	959	115
8	965	115

analyze14.0ms (0.1%)

sample1.4s (12.5%)

preprocess97.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize78.0ms (0.7%)

series8.0ms (0.1%)

rewrite162.0ms (1.4%)

simplify297.0ms (2.6%)

eval252.0ms (2.2%)

prune99.0ms (0.9%)

localize165.0ms (1.4%)

series16.0ms (0.1%)

rewrite135.0ms (1.2%)

simplify230.0ms (2%)

eval1.2s (10.2%)

prune312.0ms (2.7%)

localize229.0ms (2%)

series12.0ms (0.1%)

rewrite142.0ms (1.2%)

simplify247.0ms (2.2%)

eval1.6s (14.2%)

prune540.0ms (4.7%)

localize169.0ms (1.5%)

series17.0ms (0.1%)

rewrite144.0ms (1.3%)

simplify194.0ms (1.7%)

eval605.0ms (5.3%)

prune331.0ms (2.9%)

regimes141.0ms (1.2%)

regimes148.0ms (1.3%)

regimes43.0ms (0.4%)

regimes35.0ms (0.3%)

regimes33.0ms (0.3%)

regimes20.0ms (0.2%)

regimes18.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

bsearch14.0ms (0.1%)

simplify16.0ms (0.1%)

soundness2.1s (18%)

end0.0ms (0%)

preprocess145.0ms (1.3%)

Profiling

Iter	Nodes	Cost
0	22	123
1	51	115
2	105	115
3	279	115
4	580	115
5	835	115
6	930	115
7	959	115
8	965	115