Details

analyze153.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	87.4%	0.1%	12.5%	0%	0%	6
25.5%	20.3%	59.3%	0.1%	18.7%	0%	1.6%	7
29%	21.1%	51.5%	0.1%	25%	0%	2.3%	8
53.8%	35.5%	30.4%	0.1%	28.1%	0%	5.9%	9
57.7%	35.7%	26.1%	0.1%	31.2%	0%	6.8%	10
73.5%	42.8%	15.4%	0.1%	32.8%	0%	8.9%	11
76.5%	42.9%	13.2%	0.1%	34.3%	0%	9.5%	12

Compiler

Compiled 32 to 26 computations (18.8% saved)

sample3.2s (26.4%)

Results

1.5s	2051×	body	1024	valid
933.0ms	4957×	body	256	valid
338.0ms	1041×	body	512	valid
199.0ms	207×	body	2048	valid
122.0ms	511×	body	256	infinite
90.0ms	378×	body	256	unsamplable
9.0ms	19×	body	1024	infinite
3.0ms	11×	body	512	infinite

Bogosity

preprocess66.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

572×	`associate-*l/_binary64`
464×	`associate-/l/_binary64`
345×	`associate-/r/_binary64`
239×	`fma-def_binary64`
238×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	103	90
2	299	74
3	1028	74
4	3311	74
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

Outputs
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (neg.f64 (+.f64 1 eps)) x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 (neg.f64 (/.f64 1 eps)) 1))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (.f64 (-.f64 1 x) eps)))) (.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 x) eps))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (.f64 (-.f64 1 x) (neg.f64 eps)))) (.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (.f64 (+.f64 1 x) (neg.f64 eps))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (-.f64 1 x)) (neg.f64 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)) (+.f64 (neg.f64 (/.f64 1 x)) 1))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (-.f64 1 (/.f64 1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))))

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify31.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

750×	`times-frac_binary64`
534×	`cancel-sign-sub-inv_binary64`
519×	`fma-neg_binary64`
479×	`associate-/l*_binary64`
366×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	57	45
2	159	37
3	541	37
4	1697	37

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))

eval3.0ms (0%)

Compiler: Compiled 164 to 118 computations (28% saved)

prune4.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	4	7

Error

31.3b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.2b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
▶	32.1b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
▶	44.6b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x))) 2)
▶	31.4b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)

Compiler

Compiled 116 to 89 computations (23.3% saved)

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 eps) (neg.f64 x))
✓	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))))
✓	0.0b	(.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))
✓	1.1b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))

Compiler

Compiled 136 to 92 computations (32.4% saved)

series20.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
3.0ms	eps	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
1.0ms	x	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
1.0ms	eps	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))))
1.0ms	eps	@	-inf	(.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))

rewrite112.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`fma-def_binary64`
347×	`fma-neg_binary64`
329×	`expm1-udef_binary64`
328×	`log1p-udef_binary64`
204×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	91
1	403	78
2	5744	69

Stop Event

1×	node limit

Counts

4 → 275

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (.f64 (.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2) (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 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#<rule egg-rr> (2) ((x fma.f64 -1 x (.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (neg.f64 eps)))))))

simplify220.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-neg_binary64`
642×	`times-frac_binary64`
332×	`associate-r_binary64`
322×	`fma-def_binary64`
306×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	670	14682
1	1814	13600
2	6211	13579

Stop Event

1×	node limit

Counts

371 → 481

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (.f64 1 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) 1/6))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) -1/2)))) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 eps (.f64 eps (-.f64 (fma.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) 1/6))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) -1/2))))) (.f64 1 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (.f64 1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 4) 1/24)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 5) -1/120))))) (pow.f64 eps 4) (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) 1/6))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) -1/2)))) (exp.f64 (neg.f64 x))))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (+.f64 (.f64 1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7))) (.f64 1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (.f64 -1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))) (.f64 -1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/5040 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (.f64 1/720 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)))) (fma.f64 -1/720 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040))) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (.f64 1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)))) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6)))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/720 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 7) 1/5040))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) -1/720 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 7) -1/5040)))) (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 4) 1/24)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 5) -1/120))))) (pow.f64 eps 4) (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) 1/6))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) -1/2)))) (exp.f64 (neg.f64 x)))))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) eps)) (+.f64 (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))) (/.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))) eps)))
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2
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))

localize59.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 1 eps))
✓	1.3b	(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
✓	1.3b	(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
✓	2.1b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)))

Compiler

Compiled 137 to 100 computations (27% saved)

series103.0ms (0.9%)

Counts

4 → 80

Calls

21 calls:

Time	Variable		Point	Expression
23.0ms	eps	@	-inf	(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
21.0ms	eps	@	inf	(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
13.0ms	eps	@	-inf	(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
13.0ms	eps	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)))
11.0ms	eps	@	inf	(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)

rewrite112.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`fma-def_binary64`
366×	`fma-neg_binary64`
334×	`expm1-udef_binary64`
333×	`log1p-udef_binary64`
218×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	70
1	432	60
2	6176	57

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

Inputs
(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)))
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
(exp.f64 (-.f64 1 eps))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 2) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (.f64 (fma.f64 (pow.f64 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eps)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 2)) (/.f64 1 (fma.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 x) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 x (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 x (-.f64 -1 eps)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (E.f64) (exp.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (E.f64) (/.f64 1 (exp.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) 2) (cbrt.f64 (exp.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 1 eps))) (sqrt.f64 (exp.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 eps) (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (E.f64) (exp.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (E.f64)) (neg.f64 (exp.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 1 eps))))))))

simplify180.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

647×	`unswap-sqr_binary64`
462×	`fma-neg_binary64`
322×	`associate-r_binary64`
277×	`fma-def_binary64`
259×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	574	13340
1	1531	12313
2	5105	12290

Stop Event

1×	node limit

Counts

299 → 381

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7))) (.f64 1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (.f64 -1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7))) (.f64 -1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))))) (pow.f64 eps 6)) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x)))) eps))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x)))) eps))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x)))) eps))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))))
2
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (+.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 -1/6 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 3))) (.f64 -1/6 (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3))))) (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))) (.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(exp.f64 (*.f64 -1 x))
(+.f64 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)) 1)
(+.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))) (.f64 -1/6 (.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3))))))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 x))
(+.f64 (.f64 -1 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (.f64 -1 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))
(+.f64 (.f64 -1 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))
(exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))
(exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))
(exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))
1
(+.f64 1 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)) (.f64 1/2 (.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (.f64 -1/6 (.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 1)
(+.f64 (.f64 -1 (.f64 eps (exp.f64 1))) (exp.f64 1))
(+.f64 (.f64 -1 (.f64 eps (exp.f64 1))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (exp.f64 1))) (exp.f64 1)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (exp.f64 1))) (+.f64 (.f64 -1 (.f64 eps (exp.f64 1))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (exp.f64 1))) (exp.f64 1))))
(exp.f64 (+.f64 1 (*.f64 -1 eps)))
(exp.f64 (+.f64 1 (*.f64 -1 eps)))
(exp.f64 (+.f64 1 (*.f64 -1 eps)))
(exp.f64 (+.f64 1 (*.f64 -1 eps)))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(+.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(*.f64 1 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(*.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 1)
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
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(.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))))
(.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 2)) (/.f64 1 (fma.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
(.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2)) (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 3)) (fma.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 2)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 3))) (neg.f64 (fma.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 2))) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 3)) (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (-.f64 (.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)))) (.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 3) (pow.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 3)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2) (-.f64 (.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))) (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2) (.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))) (-.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(pow.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 1)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))
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(exp.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 1))
(fma.f64 1 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))
(fma.f64 1 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (.f64 (.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1))
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(/.f64 1 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) 1))
(/.f64 -1 (neg.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (+.f64 x x)))
(log.f64 (exp.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)))))
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(exp.f64 (*.f64 (-.f64 1 eps) x))
(exp.f64 (.f64 (.f64 (-.f64 1 eps) x) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1)
(*.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) x))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (.f64 (.f64 x (-.f64 -1 eps)) 1))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 1 eps)))) 1)
(*.f64 1 (exp.f64 (-.f64 1 eps)))
(*.f64 (exp.f64 (-.f64 1 eps)) 1)
(*.f64 (E.f64) (exp.f64 (neg.f64 eps)))
(*.f64 (E.f64) (/.f64 1 (exp.f64 eps)))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) 2) (cbrt.f64 (exp.f64 (-.f64 1 eps))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 1 eps))) (sqrt.f64 (exp.f64 (-.f64 1 eps))))
(/.f64 1 (/.f64 (exp.f64 eps) (E.f64)))
(/.f64 (E.f64) (exp.f64 eps))
(/.f64 (neg.f64 (E.f64)) (neg.f64 (exp.f64 eps)))
(pow.f64 (exp.f64 (-.f64 1 eps)) 1)
(pow.f64 (E.f64) (-.f64 1 eps))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 eps))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 eps)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 1 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 1 eps))))

Outputs
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 (.f64 1/2 (exp.f64 (neg.f64 x))) (.f64 x x))) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (.f64 eps eps) (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) 1/2)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) -1/2 (.f64 (.f64 -1/6 (pow.f64 x 3)) (exp.f64 (neg.f64 x)))))) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(+.f64 (fma.f64 eps (.f64 eps (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) 1/2)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) -1/2 (.f64 (.f64 -1/6 (pow.f64 x 3)) (exp.f64 (neg.f64 x))))))) (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (.f64 1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 (.f64 1/2 (exp.f64 (neg.f64 x))) (.f64 x x))) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (-.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 4) 1/24))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4) (fma.f64 (.f64 eps eps) (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) 1/2)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) -1/2 (.f64 (.f64 -1/6 (pow.f64 x 3)) (exp.f64 (neg.f64 x)))))) (exp.f64 (neg.f64 x)))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(+.f64 (fma.f64 (-.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 4) 1/24))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4) (fma.f64 (.f64 eps eps) (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) 1/2)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) -1/2 (.f64 (.f64 -1/6 (pow.f64 x 3)) (exp.f64 (neg.f64 x)))))) (exp.f64 (neg.f64 x)))) (fma.f64 x (exp.f64 (neg.f64 x)) (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7))) (.f64 1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (.f64 -1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7))) (.f64 -1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))))) (pow.f64 eps 6)) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (-.f64 (fma.f64 1/5040 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (.f64 (.f64 1/720 (exp.f64 (neg.f64 x))) (pow.f64 x 6))) (fma.f64 -1/5040 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (.f64 (.f64 -1/720 (exp.f64 (neg.f64 x))) (pow.f64 x 6)))) (pow.f64 eps 6) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (.f64 1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 eps eps) (-.f64 (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (.f64 (.f64 1/2 (exp.f64 (neg.f64 x))) (.f64 x x))) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6)))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(fma.f64 (-.f64 (fma.f64 1/5040 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 6) 1/720))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 6) -1/720)))) (pow.f64 eps 6) (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (-.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 4) 1/24))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4) (fma.f64 (.f64 eps eps) (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) 1/2)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) -1/2 (.f64 (.f64 -1/6 (pow.f64 x 3)) (exp.f64 (neg.f64 x)))))) (exp.f64 (neg.f64 x)))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))))
(+.f64 (+.f64 (fma.f64 eps (.f64 eps (fma.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) 1/2)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) -1/2 (.f64 (.f64 -1/6 (pow.f64 x 3)) (exp.f64 (neg.f64 x))))))) (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (.f64 (-.f64 (fma.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 4) 1/24))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4))) (fma.f64 (-.f64 (fma.f64 1/5040 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 6) 1/720))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 6) -1/720)))) (pow.f64 eps 6) (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))) (/.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))) eps))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) eps) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps) (-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))) (/.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))) eps))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) eps) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps) (-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))) (/.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))) eps))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) eps) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps) (-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))))
(-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
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2
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(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
1
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1
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(pow.f64 (exp.f64 x) (-.f64 1 eps))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(exp.f64 (*.f64 (-.f64 1 eps) x))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(exp.f64 (.f64 (.f64 (-.f64 1 eps) x) 1))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1)
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 1)
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) x))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) (+.f64 x x))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x)))
(fabs.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 3))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (.f64 (.f64 x (-.f64 -1 eps)) 1))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 1 eps)))) 1)
(exp.f64 (-.f64 1 eps))
(*.f64 1 (exp.f64 (-.f64 1 eps)))
(exp.f64 (-.f64 1 eps))
(*.f64 (exp.f64 (-.f64 1 eps)) 1)
(exp.f64 (-.f64 1 eps))
(*.f64 (E.f64) (exp.f64 (neg.f64 eps)))
(exp.f64 (-.f64 1 eps))
(*.f64 (E.f64) (/.f64 1 (exp.f64 eps)))
(exp.f64 (-.f64 1 eps))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) 2))
(exp.f64 (-.f64 1 eps))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) 2) (cbrt.f64 (exp.f64 (-.f64 1 eps))))
(exp.f64 (-.f64 1 eps))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 1 eps))) (sqrt.f64 (exp.f64 (-.f64 1 eps))))
(exp.f64 (-.f64 1 eps))
(/.f64 1 (/.f64 (exp.f64 eps) (E.f64)))
(exp.f64 (-.f64 1 eps))
(/.f64 (E.f64) (exp.f64 eps))
(exp.f64 (-.f64 1 eps))
(/.f64 (neg.f64 (E.f64)) (neg.f64 (exp.f64 eps)))
(exp.f64 (-.f64 1 eps))
(pow.f64 (exp.f64 (-.f64 1 eps)) 1)
(exp.f64 (-.f64 1 eps))
(pow.f64 (E.f64) (-.f64 1 eps))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) 3) 1/3)
(exp.f64 (-.f64 1 eps))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) 3)
(exp.f64 (-.f64 1 eps))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 eps))) 2)
(exp.f64 (-.f64 1 eps))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 eps)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 eps)))
(exp.f64 (-.f64 1 eps))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) 2))
(exp.f64 (-.f64 1 eps))
(log.f64 (exp.f64 (exp.f64 (-.f64 1 eps))))
(exp.f64 (-.f64 1 eps))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 1 eps)))))
(exp.f64 (-.f64 1 eps))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) 3))
(exp.f64 (-.f64 1 eps))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 1 eps))))
(exp.f64 (-.f64 1 eps))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 1 eps))))
(exp.f64 (-.f64 1 eps))

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 -1 eps))
✓	0.0b	(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	0.1b	(pow.f64 (exp.f64 x) (+.f64 eps -1))
✓	3.8b	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

Compiler

Compiled 102 to 58 computations (43.1% saved)

series37.0ms (0.3%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
12.0ms	x	@	inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms	x	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms	eps	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	eps	@	inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`prod-diff_binary64`
325×	`fma-def_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`
232×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	351	64
2	5038	64

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(+.f64 1 (/.f64 -1 eps))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 x (+.f64 eps -1))))) (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (/.f64 1 eps))) (/.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (pow.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -3)) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 eps -3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 eps -2))) (+.f64 -1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps -2) 1) (+.f64 -1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (/.f64 1 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) -1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) -1) (pow.f64 (cbrt.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 eps) -1) (pow.f64 (sqrt.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (cbrt.f64 (pow.f64 eps -2))) (/.f64 1 (cbrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 eps -1/2)) (pow.f64 eps -1/2) 1)))))

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

500×	`fma-neg_binary64`
477×	`cancel-sign-sub-inv_binary64`
293×	`associate-r_binary64`
261×	`fma-def_binary64`
217×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	446	4905
1	1325	4534
2	5188	4490

Stop Event

1×	node limit

Counts

204 → 265

Calls

Call 1

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

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

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (+.f64 eps -1))
✓	0.0b	(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	1.3b	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
✓	4.0b	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))

Compiler

Compiled 101 to 61 computations (39.6% saved)

series8.0ms (0.1%)

Counts

4 → 76

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	x	@	0	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	eps	@	-inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	x	@	inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms	eps	@	inf	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`prod-diff_binary64`
341×	`fma-def_binary64`
284×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
251×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	65
1	324	63
2	4404	63

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (+.f64 eps -1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 (+.f64 eps -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 (+.f64 eps -1) x))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (.f64 (+.f64 eps -1) x))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 1 (.f64 (exp.f64 (fma.f64 eps x x)) eps)))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 eps -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (+.f64 eps -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 -1) (exp.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 eps) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (exp.f64 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) (sqrt.f64 (exp.f64 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 eps -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (.f64 3 (+.f64 eps -1))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 3 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 eps -1))))))))

simplify145.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

504×	`fma-neg_binary64`
489×	`times-frac_binary64`
318×	`fma-def_binary64`
251×	`associate-r_binary64`
232×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	563	7622
1	1634	6197
2	5887	6162

Stop Event

1×	node limit

Counts

212 → 281

Calls

Call 1

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

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

eval1.1s (9.1%)

Compiler: Compiled 64984 to 42475 computations (34.6% saved)

prune432.0ms (3.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1398	10	1408
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1402	10	1412

Error

0.0b

Counts

1412 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	48.4b	(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	0.3b	(/.f64 (-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x))))) 2)
	48.1b	(/.f64 (-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
▶	0.3b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	48.4b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
▶	48.0b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (+.f64 (/.f64 1 eps) (neg.f64 (.f64 (.f64 x (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps))))) -1)) 2)
▶	2.0b	(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	0.3b	(/.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
	18.0b	(/.f64 2 2)
▶	46.0b	(/.f64 0 2)

Compiler

Compiled 438 to 348 computations (20.5% saved)

localize20.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

Compiler

Compiled 62 to 33 computations (46.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

rewrite39.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`pow1_binary64`
555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
554×	`add-log-exp_binary64`
543×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	8
2	1843	8

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (*.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log1p.f64 x)))))))

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

570×	`fma-neg_binary64`
503×	`fma-def_binary64`
341×	`associate-+l+_binary64`
307×	`associate-+r+_binary64`
289×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	481
1	201	428
2	550	388
3	2211	363
4	5125	363
5	7928	363

Stop Event

1×	node limit

Counts

36 → 59

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 eps) 1)
	0.0b	(*.f64 (-.f64 1 eps) (neg.f64 x))
	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))))
✓	3.5b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))

Compiler

Compiled 90 to 63 computations (30% saved)

series3.0ms (0%)

Counts

2 → 27

Calls

9 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`fma-def_binary64`
664×	`log-prod_binary64`
310×	`fma-neg_binary64`
242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	297	33
2	4351	31

Stop Event

1×	node limit

Counts

2 → 169

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 1 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 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#<rule egg-rr> (2) ((x expm1.f64 (neg.f64 (log.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (neg.f64 (log.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (*.f64 (/.f64 1 (cbrt.f64 eps)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (*.f64 (pow.f64 eps -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) -1) (pow.f64 (cbrt.f64 eps) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 eps) -1) (pow.f64 (sqrt.f64 eps) -1) -1)))))

simplify125.0ms (1%)

Algorithm

1×	egg-herbie

Rules

471×	`unswap-sqr_binary64`
413×	`cancel-sign-sub-inv_binary64`
374×	`fma-neg_binary64`
330×	`times-frac_binary64`
173×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	425	5353
1	1104	5169
2	3566	5066

Stop Event

1×	node limit

Counts

196 → 270

Calls

Call 1

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

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

localize83.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 eps) (neg.f64 (.f64 (.f64 x (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps)))))
✓	0.2b	(.f64 (.f64 x (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps)))
✓	0.2b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (+.f64 (/.f64 1 eps) (neg.f64 (.f64 (.f64 x (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps))))) -1)) 2)
✓	2.1b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (+.f64 (/.f64 1 eps) (neg.f64 (.f64 (.f64 x (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps))))) -1))

Compiler

Compiled 182 to 132 computations (27.5% saved)

series14.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (+.f64 (/.f64 1 eps) (neg.f64 (.f64 (.f64 x (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps))))) -1)) 2)
1.0ms	eps	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (+.f64 (/.f64 1 eps) (neg.f64 (.f64 (.f64 x (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps))))) -1))
1.0ms	x	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (+.f64 (/.f64 1 eps) (neg.f64 (.f64 (.f64 x (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps))))) -1))
1.0ms	eps	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (+.f64 (/.f64 1 eps) (neg.f64 (.f64 (.f64 x (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps))))) -1))
1.0ms	eps	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (+.f64 (/.f64 1 eps) (neg.f64 (.f64 (.f64 x (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps))))) -1))

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

274×	`add-sqr-sqrt_binary64`
267×	`*-un-lft-identity_binary64`
267×	`pow1_binary64`
255×	`add-cbrt-cube_binary64`
255×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	135
1	530	115

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (neg.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps))) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) -1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) -1))) 2) (+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps))) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) -1)))) (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) -1))) (+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (exp.f64 (+.f64 (.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (.f64 (+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) -1)) 1))) (fma.f64 (+.f64 1 (neg.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps)))) 1 (.f64 (+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (.f64 (+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) -1)) 1))) (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 eps -3) (pow.f64 (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps)) 2) (.f64 (/.f64 (fma.f64 eps x x) eps) (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 eps -1/2) (sqrt.f64 (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)))) (-.f64 (pow.f64 eps -1/2) (sqrt.f64 (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps)) 2) (.f64 (/.f64 (fma.f64 eps x x) eps) (+.f64 (/.f64 1 eps) -1))) (+.f64 (pow.f64 eps -3) (pow.f64 (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps)) (pow.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps)) 2) (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)) 3)) (-.f64 (pow.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps)) 2) (.f64 (/.f64 (fma.f64 eps x x) eps) (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)) 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps)) 2) (.f64 (/.f64 (fma.f64 eps x x) eps) (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps)) 2)) (neg.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 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(/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 eps) (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1))) 2) (cbrt.f64 (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)))))))

simplify149.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

926×	`fma-neg_binary64`
406×	`fma-def_binary64`
331×	`associate-+r+_binary64`
301×	`+-commutative_binary64`
278×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	560	9336
1	1719	8699
2	7413	8698

Stop Event

1×	node limit

Counts

258 → 385

Calls

Call 1

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

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

localize36.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 eps 1))
	0.0b	(*.f64 (-.f64 1 eps) (neg.f64 x))

Compiler

Compiled 87 to 58 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 x (+.f64 eps 1))
0.0ms	x	@	-inf	(*.f64 x (+.f64 eps 1))
0.0ms	x	@	0	(*.f64 x (+.f64 eps 1))
0.0ms	eps	@	0	(*.f64 x (+.f64 eps 1))
0.0ms	eps	@	inf	(*.f64 x (+.f64 eps 1))

rewrite39.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`pow1_binary64`
590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
589×	`add-log-exp_binary64`
576×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	5
2	1670	5

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 x (+.f64 eps 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x eps) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)) (-.f64 (*.f64 x eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps eps (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x eps x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x eps x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x eps x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x x)))))

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

944×	`fma-neg_binary64`
489×	`times-frac_binary64`
385×	`associate-l_binary64`
323×	`log-prod_binary64`
316×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	284
1	170	283
2	595	277
3	3024	272
4	7311	272

Stop Event

1×	node limit

Counts

46 → 34

Calls

Call 1

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

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

eval689.0ms (5.7%)

Compiler: Compiled 33608 to 23327 computations (30.6% saved)

prune328.0ms (2.7%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	999	15	1014
Fresh	4	1	5
Picked	1	0	1
Done	2	2	4
Total	1006	18	1024

Error

0.0b

Counts

1024 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	17.9b	(/.f64 (-.f64 (fma.f64 x (.f64 x (fma.f64 x 1/3 -1/2)) 1) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	0.3b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	38.5b	(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	48.1b	(/.f64 (-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	0.3b	(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x)) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	18.0b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
✓	0.3b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	38.5b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) x))) 2)
	17.8b	(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
▶	50.0b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (*.f64 x eps) -1)) 2)
▶	14.4b	(/.f64 (-.f64 (exp.f64 (.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	36.5b	(/.f64 (+.f64 2 (.f64 (+.f64 -1 (/.f64 -1 eps)) (.f64 x (-.f64 1 eps)))) 2)
▶	18.7b	(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
	61.8b	(/.f64 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x)) 2)
✓	46.0b	(/.f64 0 2)
	18.2b	(+.f64 (.f64 1/2 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (.f64 -1 x) x)))) (.f64 -1/2 (.f64 eps x)))
▶	61.7b	(.f64 (.f64 x eps) -1/2)
	18.0b	1

Compiler

Compiled 602 to 464 computations (22.9% saved)

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
✓	0.0b	(/.f64 (+.f64 x 1) (exp.f64 x))

Compiler

Compiled 68 to 37 computations (45.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (+.f64 x 1) (exp.f64 x))
0.0ms	x	@	-inf	(/.f64 (+.f64 x 1) (exp.f64 x))
0.0ms	x	@	0	(/.f64 (+.f64 x 1) (exp.f64 x))

rewrite44.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`pow1_binary64`
627×	`log1p-expm1-u_binary64`
627×	`expm1-log1p-u_binary64`
626×	`add-log-exp_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	8
2	1697	8

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (+.f64 x 1) (exp.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) x))))))

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

609×	`fma-def_binary64`
409×	`associate-/r/_binary64`
340×	`fma-neg_binary64`
335×	`associate-l_binary64`
299×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	584
1	246	531
2	762	405
3	3640	395
4	7001	395

Stop Event

1×	node limit

Counts

43 → 53

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x eps) -1/2)

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite36.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
510×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
500×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1392	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 eps -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 eps -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 eps -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 eps -1/2))))))))

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1027×	`log-prod_binary64`
537×	`distribute-rgt-in_binary64`
524×	`distribute-lft-in_binary64`
451×	`associate-l_binary64`
415×	`exp-sum_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	245
1	89	245
2	341	245
3	2442	245
4	6780	245

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (neg.f64 x) (-.f64 1 eps))
✓	0.0b	(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))

Compiler

Compiled 44 to 28 computations (36.4% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
850×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	191	19
2	2591	19

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (/.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2) (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (expm1.f64 (*.f64 x (-.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (expm1.f64 (*.f64 x (-.f64 1 eps))))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (expm1.f64 (*.f64 x (-.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2) (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2)) (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (expm1.f64 (*.f64 x (-.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2) 1) (expm1.f64 (*.f64 x (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (-.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1 eps))))))))

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

891×	`fma-neg_binary64`
832×	`fma-def_binary64`
362×	`distribute-rgt-in_binary64`
356×	`unswap-sqr_binary64`
347×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1520
1	444	1484
2	1562	1334
3	6708	1316

Stop Event

1×	node limit

Counts

102 → 109

Calls

Call 1

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

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

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x eps) -1)
	0.0b	(*.f64 (-.f64 1 eps) (neg.f64 x))
	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))))
✓	0.0b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (*.f64 x eps) -1))

Compiler

Compiled 94 to 59 computations (37.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`fma-def_binary64`
754×	`log-prod_binary64`
386×	`fma-neg_binary64`
273×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	334	29
2	4817	27

Stop Event

1×	node limit

Counts

2 → 167

Calls

Call 1

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

Outputs

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((x *.f64 (+.f64 (sqrt.f64 (*.f64 eps x)) 1) (-.f64 (sqrt.f64 (*.f64 eps x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -1 (fma.f64 eps x -1) (pow.f64 (*.f64 eps x) 2)) (+.f64 -1 (pow.f64 (*.f64 eps x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps x 1) (+.f64 (pow.f64 (*.f64 eps x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (*.f64 eps x) 3)) (fma.f64 -1 (fma.f64 eps x -1) (pow.f64 (*.f64 eps x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (*.f64 eps x) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) -1) (fma.f64 eps x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (*.f64 eps x) 3))) (neg.f64 (fma.f64 -1 (fma.f64 eps x -1) (pow.f64 (*.f64 eps x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) -1)) (neg.f64 (fma.f64 eps x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 eps x) 2)) (-.f64 -1 (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 eps x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 eps x -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 eps x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 eps x -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 eps x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 eps x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 eps x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (*.f64 eps x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 eps x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 eps x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 eps x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 eps -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps x) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps x) -1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 eps x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 eps x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 (cbrt.f64 (*.f64 eps x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (*.f64 eps x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 eps) -1)))))

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

679×	`distribute-rgt-in_binary64`
433×	`unswap-sqr_binary64`
367×	`fma-neg_binary64`
359×	`cancel-sign-sub-inv_binary64`
199×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	5154
1	1058	4890
2	3129	4779

Stop Event

1×	node limit

Counts

215 → 255

Calls

Call 1

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

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

localize43.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (*.f64 x eps))
	0.0b	(*.f64 x (+.f64 eps 1))
✓	0.0b	(-.f64 (exp.f64 (.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))

Compiler

Compiled 70 to 42 computations (40% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (exp.f64 (.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))
1.0ms	eps	@	0	(-.f64 (exp.f64 (.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))
0.0ms	x	@	-inf	(-.f64 (exp.f64 (.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))
0.0ms	x	@	inf	(-.f64 (exp.f64 (.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))
0.0ms	eps	@	-inf	(-.f64 (exp.f64 (.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1))))))

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`prod-diff_binary64`
554×	`log-prod_binary64`
367×	`fma-def_binary64`
272×	`pow2_binary64`
190×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	258	21
2	3658	21

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) eps)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps))) (cbrt.f64 (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 x eps))) (sqrt.f64 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2)) (cbrt.f64 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) eps)))))))

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

515×	`unswap-sqr_binary64`
426×	`distribute-rgt-in_binary64`
322×	`fma-def_binary64`
300×	`cancel-sign-sub-inv_binary64`
235×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	4802
1	933	3614
2	3099	3210

Stop Event

1×	node limit

Counts

186 → 228

Calls

Call 1

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

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

eval389.0ms (3.2%)

Compiler: Compiled 22835 to 13207 computations (42.2% saved)

prune253.0ms (2.1%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	878	13	891
Fresh	9	2	11
Picked	1	0	1
Done	2	4	6
Total	890	19	909

Error

Counts

909 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
▶	38.5b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
▶	18.0b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2)
✓	0.3b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	38.5b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
▶	17.8b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
	18.3b	(/.f64 (-.f64 (+.f64 1 (.f64 eps (+.f64 x (.f64 eps (.f64 x (.f64 x 1/2)))))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
	18.2b	(/.f64 (-.f64 (+.f64 1 (.f64 eps x)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
✓	0.3b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	1.0b	(/.f64 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	18.2b	(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 (.f64 x eps) -1)) 2)
	18.0b	(/.f64 (-.f64 (exp.f64 (.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
	11.5b	(/.f64 (-.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	50.1b	(/.f64 (+.f64 (/.f64 1 eps) 2) 2)
	18.2b	(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
	61.8b	(/.f64 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x)) 2)
✓	46.0b	(/.f64 0 2)
✓	61.7b	(.f64 (.f64 x eps) -1/2)
	18.0b	1

Compiler

Compiled 522 to 406 computations (22.2% saved)

localize19.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x 1) (exp.f64 x))

Compiler

Compiled 53 to 32 computations (39.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 eps) 2)

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(+.f64 (/.f64 1 eps) 2)
0.0ms	eps	@	-inf	(+.f64 (/.f64 1 eps) 2)
0.0ms	eps	@	inf	(+.f64 (/.f64 1 eps) 2)

rewrite40.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`pow1_binary64`
573×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
563×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1577	7

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 (/.f64 1 eps) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 1 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 eps -2) (+.f64 (/.f64 1 eps) -2)) (/.f64 4 (+.f64 (/.f64 1 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) 2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) 2)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) 2)) (sqrt.f64 (+.f64 (/.f64 1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (pow.f64 eps -3)) (/.f64 1 (+.f64 (pow.f64 eps -2) (-.f64 4 (/.f64 2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps -2) -4) (/.f64 1 (+.f64 (/.f64 1 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 eps -2) (-.f64 4 (/.f64 2 eps))) (+.f64 8 (pow.f64 eps -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 eps) -2) (+.f64 (pow.f64 eps -2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (-.f64 4 (/.f64 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 eps -3)) (+.f64 4 (-.f64 (pow.f64 eps -2) (/.f64 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps -2) -4) (+.f64 (/.f64 1 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (pow.f64 eps -3))) (neg.f64 (+.f64 (pow.f64 eps -2) (-.f64 4 (/.f64 2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -4)) (neg.f64 (+.f64 (/.f64 1 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 eps -2)) (-.f64 2 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 eps) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (cbrt.f64 (/.f64 1 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 2)))))

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

629×	`distribute-rgt-in_binary64`
603×	`distribute-lft-in_binary64`
484×	`fma-def_binary64`
426×	`associate-/l*_binary64`
289×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	530
1	189	461
2	589	353
3	3113	353

Stop Event

1×	node limit

Counts

33 → 38

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1))
	0.0b	(/.f64 (+.f64 x 1) (exp.f64 x))

Compiler

Compiled 38 to 26 computations (31.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1))
1.0ms	x	@	inf	(-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1))
0.0ms	x	@	0	(-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1))

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`pow1_binary64`
858×	`add-log-exp_binary64`
858×	`log1p-expm1-u_binary64`
858×	`expm1-log1p-u_binary64`
842×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	172	11
2	2300	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (log1p.f64 x) x) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) (+.f64 1 (/.f64 -1 (exp.f64 (-.f64 x (log1p.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) (+.f64 1 (/.f64 -1 (exp.f64 (-.f64 x (log1p.f64 x)))))) (+.f64 (exp.f64 (*.f64 (-.f64 (log1p.f64 x) x) 3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) -1) (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (log1p.f64 x) x) 3)) 1) (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) (+.f64 1 (/.f64 -1 (exp.f64 (-.f64 x (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (log1p.f64 x) x) 3)) 1) (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) -1) (+.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) -1) (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (log1p.f64 x) x) 3)) 1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) (+.f64 1 (/.f64 -1 (exp.f64 (-.f64 x (log1p.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2) -1)) (neg.f64 (+.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)))))

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

625×	`associate-/l*_binary64`
460×	`associate-/r*_binary64`
401×	`distribute-rgt-in_binary64`
368×	`distribute-lft-in_binary64`
301×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	678
1	228	661
2	640	628
3	3275	617

Stop Event

1×	node limit

Counts

43 → 51

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))))
✓	0.0b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	0.0b	(/.f64 (+.f64 x 1) (exp.f64 x))
✓	0.2b	(.f64 -1/2 (.f64 x x))

Compiler

Compiled 72 to 43 computations (40.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log-prod_binary64`
490×	`fma-def_binary64`
328×	`fma-neg_binary64`
315×	`pow2_binary64`
214×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	272	33
2	4037	33

Stop Event

1×	node limit

Counts

3 → 213

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 -1/2 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 -1/2 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (*.f64 -1/2 x) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (*.f64 -1/2 x) 1) -1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) 2) (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (neg.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) 1) (/.f64 1 (+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 x (*.f64 -1/2 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (/.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) 2)) (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) 2)) (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 x (*.f64 -1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 -1/2 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/2))) (/.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 1 (*.f64 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 -1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 -1/2 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 -1/2 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) 2) (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (neg.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) 1) (/.f64 1 (+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (fma.f64 x (*.f64 -1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (/.f64 1 (+.f64 1 (*.f64 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))))) (#(struct:change #<rule 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simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Rules

621×	`distribute-rgt-in_binary64`
476×	`unswap-sqr_binary64`
298×	`cancel-sign-sub-inv_binary64`
297×	`fma-neg_binary64`
215×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	421	4447
1	987	4156
2	3209	4068

Stop Event

1×	node limit

Counts

249 → 315

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x))))
	0.0b	(/.f64 (+.f64 x 1) (exp.f64 x))

Compiler

Compiled 51 to 22 computations (56.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

-inf

(-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x))))

0.0ms

inf

(-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x))))

0.0ms

(-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x))))

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

467×	`log-prod_binary64`
354×	`exp-prod_binary64`
312×	`pow-prod-down_binary64`
240×	`fma-def_binary64`
237×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	203	14
2	3180	14

Stop Event

1×	node limit

Counts

1 → 121

Calls

Call 1

Inputs
(-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (exp.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 0) (/.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2) (/.f64 1 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) (sqrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3))) (neg.f64 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2)) (neg.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 x) (*.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (neg.f64 x))) (*.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 (exp.f64 x) (neg.f64 x))) (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 -1 x -1) (exp.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) (*.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (neg.f64 x))) (*.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (*.f64 (exp.f64 x) (neg.f64 x))) (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 -1 x -1) (exp.f64 x) (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 (-.f64 (+.f64 x 1) (neg.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (-.f64 (+.f64 x 1) (neg.f64 x))) x)) 2)) (cbrt.f64 (-.f64 (log.f64 (-.f64 (+.f64 x 1) (neg.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (-.f64 (+.f64 x 1) (neg.f64 x))) x))) (sqrt.f64 (-.f64 (log.f64 (-.f64 (+.f64 x 1) (neg.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 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simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-/r*_binary64`
409×	`unswap-sqr_binary64`
237×	`associate-*l/_binary64`
208×	`*-commutative_binary64`
201×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	2993
1	706	2840
2	2065	2394

Stop Event

1×	node limit

Counts

133 → 179

Calls

Call 1

Inputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(+.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (exp.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (/.f64 x (exp.f64 x))))
(+.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 0 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 0) (/.f64 x (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2)) (cbrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2)) (cbrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (exp.f64 x)))) (sqrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))

Outputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 -3/2 (*.f64 x x) x))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) x)))
(fma.f64 5/6 (pow.f64 x 3) (+.f64 1 (fma.f64 -3/2 (*.f64 x x) x)))
(+.f64 (fma.f64 -3/2 (*.f64 x x) x) (fma.f64 5/6 (pow.f64 x 3) 1))
(*.f64 2 (/.f64 x (exp.f64 x)))
(/.f64 2 (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(*.f64 2 (/.f64 x (exp.f64 x)))
(/.f64 2 (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(+.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (exp.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (/.f64 x (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))
(-.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) -3))
(+.f64 0 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(+.f64 (+.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 0) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))))))
(*.f64 1 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(*.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 1)
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2) (/.f64 1 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) 2))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) (sqrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(/.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)))
(*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3))) (neg.f64 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)))
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2)) (neg.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(/.f64 (-.f64 (exp.f64 x) (.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (neg.f64 x))) (.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 x)) (.f64 (exp.f64 x) (neg.f64 x))) (pow.f64 (exp.f64 x) 2))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(/.f64 (-.f64 (.f64 (fma.f64 -1 x -1) (exp.f64 x)) (.f64 (neg.f64 (exp.f64 x)) (neg.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 (.f64 (exp.f64 x) (fma.f64 -1 x -1)) (.f64 (exp.f64 x) (neg.f64 x))) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (fma.f64 -1 x -1) (neg.f64 x))) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(fma.f64 (-.f64 -1 x) (/.f64 -1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 x) (.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (neg.f64 x))) (.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))) (exp.f64 (+.f64 (-.f64 x (log1p.f64 x)) x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)) (exp.f64 (-.f64 x (-.f64 (log1p.f64 x) x))))
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(/.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (*.f64 (exp.f64 x) (neg.f64 x))) (pow.f64 (exp.f64 x) 2))
(/.f64 (fma.f64 (+.f64 1 x) (exp.f64 x) (*.f64 (exp.f64 x) (neg.f64 x))) (pow.f64 (exp.f64 x) 2))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 1 x) (neg.f64 x))) (pow.f64 (exp.f64 x) 2))
(-.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (/.f64 x (exp.f64 x)))
(/.f64 (fma.f64 (fma.f64 -1 x -1) (exp.f64 x) (.f64 (neg.f64 (exp.f64 x)) (neg.f64 x))) (.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))
(/.f64 (fma.f64 (fma.f64 -1 x -1) (exp.f64 x) (*.f64 (neg.f64 x) (neg.f64 (exp.f64 x)))) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(/.f64 (fma.f64 (exp.f64 x) (fma.f64 -1 x -1) (*.f64 x (exp.f64 x))) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(-.f64 (/.f64 (-.f64 -1 x) (neg.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 1)
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(pow.f64 (E.f64) (-.f64 (log.f64 (-.f64 (+.f64 x 1) (neg.f64 x))) x))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2) 1/2)
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 3) 1/3)
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) 3)
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) 2)
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(pow.f64 (/.f64 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3))) -1)
(*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))
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(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(fma.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (neg.f64 (sqrt.f64 (/.f64 x (exp.f64 x)))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))) (exp.f64 (+.f64 (-.f64 x (log1p.f64 x)) x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)) (exp.f64 (-.f64 x (-.f64 (log1p.f64 x) x))))
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) (sqrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (exp.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (/.f64 x (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) (sqrt.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x))) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))
(-.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) -3))
(fma.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(fma.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(/.f64 (+.f64 (.f64 (exp.f64 x) (fma.f64 -1 x -1)) (.f64 (exp.f64 x) (neg.f64 x))) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (fma.f64 -1 x -1) (neg.f64 x))) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(fma.f64 (-.f64 -1 x) (/.f64 -1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))) (exp.f64 (+.f64 (-.f64 x (log1p.f64 x)) x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)) (exp.f64 (-.f64 x (-.f64 (log1p.f64 x) x))))
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(fma.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (exp.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (/.f64 x (exp.f64 x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))))
(fma.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 (+.f64 1 x) (neg.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))) (*.f64 2 (/.f64 x (exp.f64 x))))
(+.f64 (/.f64 2 (/.f64 (exp.f64 x) x)) (/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))
(+.f64 (/.f64 2 (/.f64 (exp.f64 x) x)) (/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x)) (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (-.f64 (log1p.f64 x) x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1) (/.f64 x (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(fma.f64 -1 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))) (exp.f64 (+.f64 (-.f64 x (log1p.f64 x)) x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)) (exp.f64 (-.f64 x (-.f64 (log1p.f64 x) x))))
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (exp.f64 x)))) (sqrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))) (exp.f64 (+.f64 (-.f64 x (log1p.f64 x)) x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)) (exp.f64 (-.f64 x (-.f64 (log1p.f64 x) x))))
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)) (/.f64 x (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)) (/.f64 x (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 x (cbrt.f64 (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (/.f64 x (exp.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (/.f64 x (exp.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) 2))))
(fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 x (sqrt.f64 (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (exp.f64 (neg.f64 x)) (cbrt.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (exp.f64 (log1p.f64 x))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(+.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 (/.f64 x (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) 2))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (exp.f64 (neg.f64 x)) (cbrt.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (exp.f64 x)) (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (exp.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (/.f64 x (exp.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) 0)
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (*.f64 2 (/.f64 x (exp.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (/.f64 x (exp.f64 x)))) (/.f64 2 (/.f64 (exp.f64 x) x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2)) (cbrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))) (exp.f64 (+.f64 (-.f64 x (log1p.f64 x)) x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)) (exp.f64 (-.f64 x (-.f64 (log1p.f64 x) x))))
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2)) (cbrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))) (exp.f64 (+.f64 (-.f64 x (log1p.f64 x)) x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)) (exp.f64 (-.f64 x (-.f64 (log1p.f64 x) x))))
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))
(fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (exp.f64 x)))) (sqrt.f64 (/.f64 x (exp.f64 x))) (exp.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))))) (exp.f64 (+.f64 (-.f64 x (log1p.f64 x)) x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 (-.f64 x (log1p.f64 x))) (exp.f64 x)) (exp.f64 (-.f64 x (-.f64 (log1p.f64 x) x))))
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (/.f64 x (exp.f64 x)))

eval365.0ms (3%)

Compiler: Compiled 17648 to 10366 computations (41.3% saved)

prune324.0ms (2.7%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	835	13	848
Fresh	3	7	10
Picked	1	0	1
Done	3	5	8
Total	842	25	867

Error

Counts

867 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	38.5b	(/.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2)
	45.6b	(/.f64 (/.f64 x (exp.f64 x)) 2)
	45.5b	(/.f64 (/.f64 2 (/.f64 (exp.f64 x) x)) 2)
	38.5b	(/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))) 2)
✓	0.3b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
✓	18.0b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2)
✓	0.3b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	1.0b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 2)
	11.5b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3))))) 2)
	18.3b	(/.f64 (-.f64 (+.f64 1 (.f64 eps (+.f64 x (.f64 eps (.f64 x (.f64 x 1/2)))))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
	18.2b	(/.f64 (-.f64 (+.f64 1 (.f64 eps x)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
✓	0.3b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	1.0b	(/.f64 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	18.2b	(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 (.f64 x eps) -1)) 2)
	18.0b	(/.f64 (-.f64 (exp.f64 (.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
	38.5b	(/.f64 (+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x))) 2)
	18.3b	(/.f64 (+.f64 2 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x (+.f64 1/3 (.f64 x -1/8)))))) 2)
	18.1b	(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (*.f64 x x) 1/3) x))) 2)
	18.1b	(/.f64 (+.f64 2 (*.f64 x (neg.f64 x))) 2)
	18.2b	(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) 2)
	54.8b	(/.f64 (+.f64 1 x) 2)
	61.8b	(/.f64 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x)) 2)
	54.7b	(/.f64 1 2)
✓	46.0b	(/.f64 0 2)
	18.0b	1

Compiler

Compiled 363 to 282 computations (22.3% saved)

regimes121.0ms (1%)

Counts

56 → 1

Calls

Call 1

Inputs
1
(/.f64 0 2)
(/.f64 1 2)
(/.f64 2 2)
(.f64 (.f64 x eps) -1/2)
(/.f64 (+.f64 1 x) 2)
(/.f64 (+.f64 (/.f64 1 eps) 2) 2)
(/.f64 (+.f64 2 (*.f64 x (neg.f64 x))) 2)
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) 2)
(/.f64 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x)) 2)
(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (*.f64 x x) 1/3) x))) 2)
(/.f64 (+.f64 2 (.f64 (+.f64 -1 (/.f64 -1 eps)) (.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x (+.f64 1/3 (.f64 x -1/8)))))) 2)
(/.f64 (/.f64 x (exp.f64 x)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 2 (/.f64 (exp.f64 x) x)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 (.f64 x eps) -1)) 2)
(/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)))) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 eps x)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (*.f64 x eps) -1)) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(+.f64 (.f64 1/2 (+.f64 (exp.f64 (.f64 -1 (.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (.f64 -1 x) x)))) (.f64 -1/2 (.f64 eps x)))
(/.f64 (-.f64 (+.f64 1 (.f64 eps (+.f64 x (.f64 eps (.f64 x (.f64 x 1/2)))))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (+.f64 (/.f64 1 eps) (neg.f64 (.f64 (.f64 x (+.f64 eps 1)) (+.f64 -1 (/.f64 1 eps))))) -1)) 2)
(/.f64 (-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x))) 2)
(/.f64 (-.f64 (exp.f64 (.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (exp.f64 (.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) x))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 2)
(/.f64 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x)) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (fma.f64 x (.f64 x (fma.f64 x 1/3 -1/2)) 1) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x))) 2)
(/.f64 (-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3))))) 2)
(/.f64 (-.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)

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

Calls

6 calls:

29.0ms	x
27.0ms	eps
6.0ms	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
6.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
5.0ms	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`
0.3b	1	`(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)`
0.3b	1	`(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)`
0.3b	1	`(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))`
0.3b	1	`(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))`

Compiler

Compiled 1024 to 700 computations (31.6% saved)

regimes64.0ms (0.5%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	eps
20.0ms	x

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`

Compiler

Compiled 589 to 398 computations (32.4% saved)

regimes58.0ms (0.5%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	eps
18.0ms	x

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`

Compiler

Compiled 554 to 375 computations (32.3% saved)

regimes100.0ms (0.8%)

Counts

39 → 2

Calls

Call 1

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

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

Calls

2 calls:

50.0ms	eps
35.0ms	x

Results

Error	Segments	Branch
1.6b	2	`x`
13.3b	3	`eps`

Compiler

Compiled 538 to 365 computations (32.2% saved)

bsearch40.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
40.0ms	0.8015157034437836	1.9970410770799587

Results

24.0ms	51×	body	1024	valid
5.0ms	17×	body	512	valid
4.0ms	22×	body	256	infinite
2.0ms	3×	body	2048	valid
2.0ms	9×	body	256	valid

Compiler

Compiled 206 to 164 computations (20.4% saved)

regimes112.0ms (0.9%)

Counts

23 → 2

Calls

Call 1

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

Outputs
(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (*.f64 x x) 1/3) x))) 2)
(/.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2)

Calls

2 calls:

83.0ms	eps
20.0ms	x

Results

Error	Segments	Branch
1.7b	2	`x`
14.4b	7	`eps`

Compiler

Compiled 222 to 159 computations (28.4% saved)

bsearch36.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	0.8015157034437836	1.9970410770799587

Results

20.0ms	40×	body	1024	valid
7.0ms	22×	body	512	valid
3.0ms	14×	body	256	valid
3.0ms	4×	body	2048	valid
2.0ms	12×	body	256	infinite

Compiler

Compiled 186 to 144 computations (22.6% saved)

regimes47.0ms (0.4%)

Counts

18 → 2

Calls

Call 1

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

Outputs
(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (*.f64 x x) 1/3) x))) 2)
(/.f64 0 2)

Calls

2 calls:

25.0ms	eps
17.0ms	x

Results

Error	Segments	Branch
1.7b	2	`x`
16.6b	3	`eps`

Compiler

Compiled 153 to 114 computations (25.5% saved)

bsearch58.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
58.0ms	1.9970410770799587	24621.17390916012

Results

32.0ms	61×	body	1024	valid
9.0ms	47×	body	256	infinite
7.0ms	24×	body	512	valid
7.0ms	41×	body	256	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 212 to 173 computations (18.4% saved)

regimes31.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

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

Outputs
(/.f64 (+.f64 2 (*.f64 x (neg.f64 x))) 2)
(/.f64 0 2)

Calls

2 calls:

17.0ms	eps
12.0ms	x

Results

Error	Segments	Branch
1.8b	2	`x`
16.8b	3	`eps`

Compiler

Compiled 65 to 52 computations (20% saved)

bsearch39.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	0.8015157034437836	1.9970410770799587

Results

21.0ms	45×	body	1024	valid
7.0ms	16×	body	512	valid
4.0ms	19×	body	256	infinite
3.0ms	4×	body	2048	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 121 to 104 computations (14% saved)

regimes24.0ms (0.2%)

Accuracy

Total -60.6b remaining (-3016.3%)

Threshold costs -60.6b (-3016.3%)

Counts

7 → 2

Calls

Call 1

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

Outputs
1
(/.f64 0 2)

Calls

2 calls:

13.0ms	eps
9.0ms	x

Results

Error	Segments	Branch
2.0b	2	`x`
16.8b	3	`eps`

Compiler

Compiled 35 to 29 computations (17.1% saved)

bsearch58.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
58.0ms	1.9970410770799587	24621.17390916012

Results

35.0ms	73×	body	1024	valid
8.0ms	22×	body	512	valid
6.0ms	37×	body	256	infinite
5.0ms	30×	body	256	valid
3.0ms	3×	body	2048	valid

Compiler

Compiled 116 to 109 computations (6% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

96×	`cancel-sign-sub-inv_binary64`
82×	`distribute-rgt-neg-in_binary64`
52×	`distribute-lft-neg-in_binary64`
50×	`distribute-lft-neg-out_binary64`
49×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	226
1	93	212
2	162	212
3	252	212
4	360	212
5	460	212
6	553	212
7	647	212
8	690	212
9	703	212
10	707	212

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(if (<=.f64 x 2589569785738035/2251799813685248) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2) (/.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2))
(if (<=.f64 x 6530219459687219/4503599627370496) (/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (*.f64 x x) 1/3) x))) 2) (/.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2))
(if (<=.f64 x 350) (/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (*.f64 x x) 1/3) x))) 2) (/.f64 0 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (+.f64 2 (*.f64 x (neg.f64 x))) 2) (/.f64 0 2))
(if (<=.f64 x 360) 1 (/.f64 0 2))
1

Outputs
(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (neg.f64 (+.f64 x 1)) (exp.f64 x))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 2589569785738035/2251799813685248) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2) (/.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2))
(if (<=.f64 x 2589569785738035/2251799813685248) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 -1 (neg.f64 (.f64 -1/2 (.f64 x x))))) 2) (/.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2))
(if (<=.f64 x 2589569785738035/2251799813685248) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 1 (.f64 -1/2 (.f64 x x)))) 2) (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 2))
(if (<=.f64 x 6530219459687219/4503599627370496) (/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (*.f64 x x) 1/3) x))) 2) (/.f64 (/.f64 (-.f64 (+.f64 x 1) (neg.f64 x)) (exp.f64 x)) 2))
(if (<=.f64 x 6530219459687219/4503599627370496) (/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (*.f64 x x) 1/3) x))) 2) (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 2))
(if (<=.f64 x 6530219459687219/4503599627370496) (/.f64 (-.f64 2 (.f64 x (+.f64 x (.f64 (*.f64 x x) -1/3)))) 2) (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 2))
(if (<=.f64 x 350) (/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (*.f64 x x) 1/3) x))) 2) (/.f64 0 2))
(if (<=.f64 x 350) (/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (*.f64 x x) 1/3) x))) 2) 0)
(if (<=.f64 x 350) (/.f64 (-.f64 2 (.f64 x (+.f64 x (.f64 (*.f64 x x) -1/3)))) 2) 0)
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (+.f64 2 (*.f64 x (neg.f64 x))) 2) (/.f64 0 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (+.f64 2 (*.f64 x (neg.f64 x))) 2) 0)
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) 0)
(if (<=.f64 x 360) 1 (/.f64 0 2))
(if (<=.f64 x 360) 1 0)
1

Compiler

Compiled 160 to 119 computations (25.6% saved)

soundness216.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

750×	`times-frac_binary64`
694×	`fma-neg_binary64`
642×	`times-frac_binary64`
534×	`cancel-sign-sub-inv_binary64`
519×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	57	45
2	159	37
3	541	37
4	1697	37
0	670	14682
1	1814	13600
2	6211	13579

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 368 to 288 computations (21.7% saved)

end103.0ms (0.9%)

Compiler: Compiled 144 to 95 computations (34% saved)

Iter	Nodes	Cost
0	55	226
1	93	212
2	162	212
3	252	212
4	360	212
5	460	212
6	553	212
7	647	212
8	690	212
9	703	212
10	707	212

Iter	Nodes	Cost
0	55	226
1	93	212
2	162	212
3	252	212
4	360	212
5	460	212
6	553	212
7	647	212
8	690	212
9	703	212
10	707	212

Iter	Nodes	Cost
0	55	226
1	93	212
2	162	212
3	252	212
4	360	212
5	460	212
6	553	212
7	647	212
8	690	212
9	703	212
10	707	212