Details

analyze145.0ms (0.9%)

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)

sample3.3s (21%)

Results

1.4s	2093×	body	1024	valid
1000.0ms	4925×	body	256	valid
400.0ms	1013×	body	512	valid
239.0ms	225×	body	2048	valid
121.0ms	449×	body	256	unsamplable
72.0ms	451×	body	256	infinite
17.0ms	13×	body	1024	infinite
2.0ms	8×	body	512	infinite

Bogosity

preprocess45.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1380×	`associate-*l/`
1008×	`associate-/l/`
946×	`*-commutative`
766×	`associate-/r/`
656×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	178
1	106	178
2	302	146
3	950	146
4	3341	146
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 (.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 (+.f64 1 eps)) (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 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 (neg.f64 (-.f64 1 x)) eps))) (.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (neg.f64 (.f64 eps (+.f64 1 x)))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 x))) eps)) (.f64 (+.f64 (/.f64 1 x) -1) (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (+.f64 x -1)) eps) (/.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 (-.f64 x 1)) eps) (/.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)

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1196×	`associate-/l*`
1030×	`associate-l`
1026×	`times-frac`
872×	`associate-/r*`
816×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	60	89
2	162	73
3	511	73
4	1723	73

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

eval3.0ms (0%)

Compiler: Compiled 164 to 117 computations (28.7% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Error

26.1b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.4b	(/.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)
▶	26.1b	(/.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)

Status

Error

Program

▶

41.4b

(/.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)

▶

26.1b

(/.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 58 to 44 computations (24.1% saved)

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 eps) (neg.f64 x))
✓	0.0b	(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
✓	0.0b	(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
✓	3.1b	(-.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)

series13.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
2.0ms	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	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	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)))))
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)))))

rewrite180.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`associate-/r*`
586×	`associate-+l+`
454×	`associate-+r+`
450×	`add-sqr-sqrt`
444×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	142
1	443	118
2	6105	118

Stop Event

1×	node limit

Counts

4 → 290

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

simplify251.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1306×	`fma-def`
972×	`associate-r`
840×	`+-commutative`
770×	`associate-+r+`
748×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	792	35706
1	2160	29944

Stop Event

1×	node limit

Counts

386 → 478

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

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

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	0.0b	(exp.f64 (fma.f64 eps x x))
✓	0.8b	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
✓	5.5b	(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)

series52.0ms (0.3%)

Counts

4 → 72

Calls

24 calls:

Time	Variable		Point	Expression
22.0ms	eps	@	inf	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
8.0ms	eps	@	-inf	(pow.f64 (exp.f64 (+.f64 eps -1)) x)
6.0ms	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))))
6.0ms	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))))
3.0ms	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))))

rewrite148.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`associate-/l*`
886×	`associate-/r/`
542×	`associate-/l/`
392×	`add-sqr-sqrt`
384×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	128
1	386	124
2	5057	124

Stop Event

1×	node limit

Counts

4 → 122

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)
(exp.f64 (fma.f64 eps x x))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))

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

simplify151.0ms (1%)

Algorithm

1×	egg-herbie

Rules

844×	`associate--r+`
820×	`associate-r`
632×	`fma-def`
588×	`associate-l`
542×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	502	10786
1	1525	10002
2	6798	9912

Stop Event

1×	node limit

Counts

194 → 289

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

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

eval777.0ms (4.9%)

Compiler: Compiled 36484 to 26169 computations (28.3% saved)

prune290.0ms (1.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	749	18	767
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	750	19	769

Error

0.0b

Counts

769 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	41.4b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3))) 2)
✓	41.4b	(/.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)
▶	54.3b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (-.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2)))) 2)
▶	26.2b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 eps 1) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
	61.6b	(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 (+.f64 (.f64 x (-.f64 eps 1)) (log1p.f64 (/.f64 1 eps))) (+.f64 (.f64 x (-.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 eps 1)) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 2)
	27.8b	(/.f64 (-.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 (-.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) (-.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)) (.f64 x x)) -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) -1/6)))) (exp.f64 (neg.f64 x)))))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	27.8b	(/.f64 (-.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))))) 2)
▶	0.7b	(/.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)
	1.0b	(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (/.f64 (.f64 -1 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps))))))) eps))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) 2)
	0.7b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	44.7b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)) 1)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	44.4b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	26.1b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	1.4b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	1.0b	(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps)))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps))) 2)
	18.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2) 2)
	13.5b	(/.f64 (+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (-.f64 (.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)) (.f64 x x)) -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) -1/6)))))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))) 2)
	18.5b	(/.f64 2 2)
▶	44.8b	(/.f64 0 2)

Compiler

Compiled 1709 to 1232 computations (27.9% saved)

localize61.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 114 to 88 computations (22.8% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`add-sqr-sqrt`
1172×	`*-un-lft-identity`
1108×	`pow1`
1080×	`add-cube-cbrt`
1064×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	154	11
2	1739	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (exp.f64 (.f64 -1 x)) x)

Outputs

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

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1054×	`associate--r+`
784×	`associate-+l-`
772×	`fma-def`
764×	`+-commutative`
650×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	341
1	119	269
2	382	203
3	1823	195
4	4140	195
5	6893	195

Stop Event

1×	node limit

Counts

15 → 30

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (.f64 -1 (*.f64 (-.f64 1 eps) x)) 1))
✓	0.0b	(*.f64 (-.f64 1 eps) x)
	0.0b	(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
✓	4.5b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)) 1)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))

Compiler

Compiled 150 to 109 computations (27.3% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

18 calls:

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

rewrite168.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`associate-+l+`
606×	`associate-+r+`
494×	`add-sqr-sqrt`
488×	`pow1`
488×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	135
1	481	123
2	6958	123

Stop Event

1×	node limit

Counts

3 → 289

Calls

Call 1

Inputs

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

(*.f64 (-.f64 1 eps) x)

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

Outputs

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

simplify469.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1212×	`+-commutative`
786×	`associate-+l-`
784×	`associate-r`
744×	`associate-+r-`
738×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	731	39655
1	2273	34861
2	7079	34705

Stop Event

1×	node limit

Counts

349 → 464

Calls

Call 1

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

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

localize91.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
✓	0.0b	(exp.f64 (*.f64 (-.f64 eps 1) x))
	0.0b	(exp.f64 (fma.f64 eps x x))
✓	5.5b	(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 eps 1) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))

Compiler

Compiled 101 to 60 computations (40.6% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1310×	`associate-/l*`
908×	`associate-/r/`
544×	`associate-/l/`
374×	`add-sqr-sqrt`
368×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	84
1	363	82
2	4876	82

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

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

simplify141.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1514×	`unswap-sqr`
1030×	`associate-+r+`
854×	`+-commutative`
548×	`associate--l+`
442×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	6464
1	845	6062
2	3300	5590

Stop Event

1×	node limit

Counts

92 → 154

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

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

localize204.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	11.6b	(*.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
✓	14.6b	(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (-.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2))))
✓	19.4b	(/.f64 (.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 1 (.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
✓	21.3b	(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (-.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2)))

Compiler

Compiled 300 to 200 computations (33.3% saved)

series19.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`add-sqr-sqrt`
716×	`*-un-lft-identity`
710×	`pow1`
682×	`add-exp-log`
682×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	344
1	719	328

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (fma.f64 eps x x))) (-.f64 1 (pow.f64 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)) 2))) (.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (fma.f64 eps x x))) (-.f64 1 (pow.f64 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)) 2))) (-.f64 (/.f64 -1 eps) (pow.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (fma.f64 eps x x))) (-.f64 1 (pow.f64 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)) 2))) (.f64 (-.f64 (/.f64 -1 eps) (pow.f64 eps -2)) (/.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (fma.f64 eps x x))) (-.f64 1 (pow.f64 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (fma.f64 eps x x))) (-.f64 1 (pow.f64 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)) 2))) (+.f64 1 (/.f64 -1 eps))) (.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 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simplify265.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1432×	`associate-+r-`
904×	`fma-def`
808×	`+-commutative`
688×	`associate-+r+`
624×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	542	20953
1	1789	19463
2	7396	19463

Stop Event

1×	node limit

Counts

171 → 278

Calls

Call 1

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

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

eval1.3s (8.2%)

Compiler: Compiled 60086 to 41130 computations (31.5% saved)

prune334.0ms (2.1%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1166	6	1172
Fresh	1	12	13
Picked	1	0	1
Done	2	3	5
Total	1170	21	1191

Error

0.0b

Counts

1191 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.4b	(/.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)
	26.1b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (+.f64 eps -1) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
✓	26.2b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 eps 1) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
	61.6b	(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 (+.f64 (.f64 x (-.f64 eps 1)) (log1p.f64 (/.f64 1 eps))) (+.f64 (.f64 x (-.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 eps 1)) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 2)
	27.8b	(/.f64 (-.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 (-.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) (-.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)) (.f64 x x)) -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) -1/6)))) (exp.f64 (neg.f64 x)))))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	27.8b	(/.f64 (-.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))))) 2)
	1.0b	(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (/.f64 (.f64 -1 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps))))))) eps))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) 2)
	19.0b	(/.f64 (-.f64 (+.f64 1 (+.f64 (.f64 eps x) (+.f64 (.f64 -1 x) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
▶	46.8b	(/.f64 (-.f64 (+.f64 1 (.f64 x eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
▶	0.7b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	44.4b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	26.1b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
▶	1.4b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	0.7b	(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))) 2)
▶	1.0b	(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps)))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps))) 2)
	18.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2) 2)
	13.5b	(/.f64 (+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (-.f64 (.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)) (.f64 x x)) -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) -1/6)))))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))) 2)
	61.8b	(/.f64 (.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps)) x) 2)
	61.6b	(/.f64 (*.f64 x eps) 2)
▶	18.5b	(/.f64 2 2)
✓	44.8b	(/.f64 0 2)

Compiler

Compiled 1607 to 1147 computations (28.6% saved)

localize21.0ms (0.1%)

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

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`add-sqr-sqrt`
1546×	`*-un-lft-identity`
1440×	`add-cube-cbrt`
1422×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	181	15
2	2272	15

Stop Event

1×	node limit

Counts

1 → 26

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

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1132×	`associate-+r+`
1018×	`fma-def`
928×	`*-commutative`
734×	`associate-+l+`
650×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	824
1	211	784
2	588	770
3	2579	720
4	6072	720

Stop Event

1×	node limit

Counts

38 → 57

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

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize34.0ms (0.2%)

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 x eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (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))))
	0.0b	(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))

Compiler

Compiled 94 to 59 computations (37.2% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite129.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`associate-/r*`
736×	`associate-+l+`
480×	`associate-/l*`
406×	`associate-+r+`
386×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	113
1	377	97
2	5250	97

Stop Event

1×	node limit

Counts

3 → 240

Calls

Call 1

Inputs

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

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 eps x (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (-.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 eps x (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (-.f64 1 (/.f64 1 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (-.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 eps) x) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (-.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (-.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (cbrt.f64 (*.f64 eps x))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (-.f64 1 (/.f64 1 eps)))))))) 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simplify219.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1004×	`associate-+l-`
928×	`associate-+l+`
902×	`fma-def`
882×	`associate-+r-`
768×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	659	20490
1	1811	17510
2	7154	17510

Stop Event

1×	node limit

Counts

312 → 391

Calls

Call 1

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

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

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 90 to 64 computations (28.9% saved)

series5.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`associate-*l/`
1206×	`distribute-lft-in`
740×	`associate-/r*`
402×	`associate-/r/`
312×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	298	52
2	3997	52

Stop Event

1×	node limit

Counts

4 → 442

Calls

Call 1

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

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

simplify179.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1030×	`associate-r`
978×	`associate-/r*`
950×	`associate-/l/`
796×	`associate-l`
678×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	997	15576
1	2720	14666

Stop Event

1×	node limit

Counts

538 → 676

Calls

Call 1

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

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

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 1 (neg.f64 eps)))
✓	0.0b	(exp.f64 (neg.f64 (fma.f64 eps x x)))
✓	0.0b	(exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))
✓	4.0b	(+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))) (exp.f64 (neg.f64 (fma.f64 eps x x))))

Compiler

Compiled 197 to 92 computations (53.3% saved)

series4.0ms (0%)

Counts

4 → 80

Calls

24 calls:

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

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1334×	`associate-*r/`
1150×	`*-commutative`
948×	`associate-*l/`
364×	`add-sqr-sqrt`
358×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	102
1	360	66
2	5153	66

Stop Event

1×	node limit

Counts

4 → 359

Calls

Call 1

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

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

simplify144.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

914×	`associate-r`
886×	`associate-/l*`
816×	`associate-l`
640×	`times-frac`
584×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	725	14023
1	1991	12623

Stop Event

1×	node limit

Counts

439 → 495

Calls

Call 1

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

Outputs
(.f64 (-.f64 (+.f64 1 (.f64 -1 (+.f64 1 eps))) eps) x)
(*.f64 (+.f64 1 (-.f64 (+.f64 -1 (neg.f64 eps)) eps)) x)
(*.f64 (-.f64 (+.f64 0 (neg.f64 eps)) eps) x)
(+.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)) (.f64 (-.f64 (+.f64 1 (*.f64 -1 (+.f64 1 eps))) eps) x))
(fma.f64 (.f64 1/2 (-.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 (+.f64 -1 eps) 2))) (.f64 x x) (*.f64 (+.f64 1 (-.f64 (+.f64 -1 (neg.f64 eps)) eps)) x))
(fma.f64 (.f64 1/2 (-.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 (+.f64 -1 eps) 2))) (.f64 x x) (*.f64 (-.f64 (+.f64 0 (neg.f64 eps)) eps) x))
(+.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (+.f64 1 (.f64 -1 (+.f64 1 eps))) eps) x) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (+.f64 1 eps) 3)) (.f64 1/6 (pow.f64 (-.f64 eps 1) 3))) (pow.f64 x 3))))
(fma.f64 (.f64 1/2 (-.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 (+.f64 -1 eps) 2))) (.f64 x x) (fma.f64 (+.f64 1 (-.f64 (+.f64 -1 (neg.f64 eps)) eps)) x (.f64 (+.f64 (.f64 -1/6 (pow.f64 (+.f64 1 eps) 3)) (*.f64 -1/6 (pow.f64 (+.f64 -1 eps) 3))) (pow.f64 x 3))))
(fma.f64 (.f64 1/2 (-.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 (+.f64 -1 eps) 2))) (.f64 x x) (fma.f64 (-.f64 (+.f64 0 (neg.f64 eps)) eps) x (.f64 (.f64 -1/6 (+.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 (+.f64 -1 eps) 3))) (pow.f64 x 3))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (.f64 1/24 (pow.f64 (+.f64 1 eps) 4)) (.f64 1/24 (pow.f64 (-.f64 eps 1) 4))) (pow.f64 x 4)) (+.f64 (.f64 (-.f64 (+.f64 1 (.f64 -1 (+.f64 1 eps))) eps) x) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (+.f64 1 eps) 3)) (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3))) (pow.f64 x 3)))))
(fma.f64 (.f64 1/2 (-.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 (+.f64 -1 eps) 2))) (.f64 x x) (fma.f64 (.f64 1/24 (-.f64 (pow.f64 (+.f64 1 eps) 4) (pow.f64 (+.f64 -1 eps) 4))) (pow.f64 x 4) (fma.f64 (+.f64 1 (-.f64 (+.f64 -1 (neg.f64 eps)) eps)) x (.f64 (+.f64 (.f64 -1/6 (pow.f64 (+.f64 1 eps) 3)) (.f64 -1/6 (pow.f64 (+.f64 -1 eps) 3))) (pow.f64 x 3)))))
(fma.f64 (.f64 1/2 (-.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 (+.f64 -1 eps) 2))) (.f64 x x) (fma.f64 (.f64 1/24 (-.f64 (pow.f64 (+.f64 1 eps) 4) (pow.f64 (+.f64 -1 eps) 4))) (pow.f64 x 4) (fma.f64 (-.f64 (+.f64 0 (neg.f64 eps)) eps) x (.f64 (*.f64 -1/6 (+.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 (+.f64 -1 eps) 3))) (pow.f64 x 3)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(.f64 (-.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 (exp.f64 (neg.f64 x)) x)) eps)
(.f64 eps (-.f64 (neg.f64 (.f64 x (exp.f64 (neg.f64 x)))) (*.f64 x (exp.f64 (neg.f64 x)))))
(.f64 eps (.f64 (/.f64 x (exp.f64 x)) -2))
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 (exp.f64 (neg.f64 x)) x)) eps) (.f64 (pow.f64 eps 3) (-.f64 (.f64 -1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))))
(fma.f64 (-.f64 (neg.f64 (.f64 x (exp.f64 (neg.f64 x)))) (.f64 x (exp.f64 (neg.f64 x)))) eps (.f64 (pow.f64 eps 3) (.f64 (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))) -1/3)))
(fma.f64 (.f64 (/.f64 x (exp.f64 x)) -2) eps (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 (.f64 eps x) 3)) -1/3))
(+.f64 (.f64 (-.f64 (.f64 -1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))) (pow.f64 eps 5)) (+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 (exp.f64 (neg.f64 x)) x)) eps) (.f64 (pow.f64 eps 3) (-.f64 (.f64 -1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (.f64 1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))))
(fma.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/60) (pow.f64 eps 5) (fma.f64 (-.f64 (neg.f64 (.f64 x (exp.f64 (neg.f64 x)))) (.f64 x (exp.f64 (neg.f64 x)))) eps (.f64 (pow.f64 eps 3) (.f64 (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))) -1/3))))
(fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 5) -1/60)) (pow.f64 eps 5) (fma.f64 (.f64 (/.f64 x (exp.f64 x)) -2) eps (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 (.f64 eps x) 3)) -1/3)))
(+.f64 (.f64 (pow.f64 eps 7) (-.f64 (.f64 -1/5040 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7))) (.f64 1/5040 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7))))) (+.f64 (.f64 (-.f64 (.f64 -1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (.f64 1/120 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))) (pow.f64 eps 5)) (+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 x)) x)) (.f64 (exp.f64 (neg.f64 x)) x)) eps) (.f64 (pow.f64 eps 3) (-.f64 (.f64 -1/6 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))))))
(fma.f64 (pow.f64 eps 7) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/2520) (fma.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/60) (pow.f64 eps 5) (fma.f64 (-.f64 (neg.f64 (.f64 x (exp.f64 (neg.f64 x)))) (.f64 x (exp.f64 (neg.f64 x)))) eps (.f64 (pow.f64 eps 3) (.f64 (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))) -1/3)))))
(fma.f64 (pow.f64 eps 7) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 7) -1/2520)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 5) -1/60)) (pow.f64 eps 5) (fma.f64 (.f64 (/.f64 x (exp.f64 x)) -2) eps (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 (.f64 eps x) 3)) -1/3))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (.f64 (+.f64 1 (.f64 -1 eps)) x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 1 (*.f64 x (+.f64 -1 eps)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(fma.f64 1/2 (.f64 (pow.f64 (+.f64 -1 eps) 2) (.f64 x x)) (+.f64 1 (*.f64 x (+.f64 -1 eps))))
(fma.f64 1/2 (.f64 x (.f64 x (pow.f64 (+.f64 -1 eps) 2))) (+.f64 1 (*.f64 x (+.f64 -1 eps))))
(+.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))))))
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(/.f64 (.f64 (neg.f64 (+.f64 1 (.f64 eps eps))) x) (+.f64 1 eps))
(.f64 (/.f64 (neg.f64 x) (+.f64 1 eps)) (+.f64 1 (.f64 eps eps)))
(.f64 (/.f64 x (+.f64 1 eps)) (-.f64 -1 (.f64 eps eps)))
(/.f64 (.f64 (neg.f64 (+.f64 1 (.f64 eps eps))) x) (+.f64 eps -1))
(/.f64 (.f64 (neg.f64 x) (+.f64 1 (.f64 eps eps))) (+.f64 -1 eps))
(.f64 (/.f64 (-.f64 -1 (.f64 eps eps)) (+.f64 -1 eps)) x)
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 eps 3))) x) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 (neg.f64 x) (+.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 (neg.f64 (+.f64 1 (pow.f64 eps 3))) x) (neg.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (neg.f64 x) (+.f64 1 (pow.f64 eps 3))) (+.f64 -1 (neg.f64 (fma.f64 eps eps eps))))
(*.f64 (/.f64 (-.f64 -1 (pow.f64 eps 3)) (-.f64 -1 (fma.f64 eps eps eps))) x)
(/.f64 (.f64 (-.f64 (.f64 eps eps) 1) x) (+.f64 eps -1))
(/.f64 x (/.f64 (+.f64 -1 eps) (fma.f64 eps eps -1)))
(*.f64 (/.f64 x (+.f64 -1 eps)) (fma.f64 eps eps -1))
(/.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 (neg.f64 (+.f64 1 (.f64 eps eps))) (neg.f64 x)) (+.f64 eps -1))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (+.f64 1 (.f64 eps eps)))) (+.f64 -1 eps))
(/.f64 x (/.f64 (+.f64 -1 eps) (+.f64 1 (*.f64 eps eps))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 eps 3))) (neg.f64 x)) (neg.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 eps 3))) (/.f64 (+.f64 -1 (neg.f64 (fma.f64 eps eps eps))) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (-.f64 -1 (fma.f64 eps eps eps)))
(/.f64 (.f64 (-.f64 (.f64 eps eps) 1) (neg.f64 x)) (+.f64 eps -1))
(/.f64 (fma.f64 eps eps -1) (/.f64 (+.f64 -1 eps) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 x) (+.f64 -1 eps)) (fma.f64 eps eps -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (neg.f64 x)) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (neg.f64 x) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))) (neg.f64 x))
(/.f64 (.f64 (.f64 x (+.f64 1 (*.f64 eps eps))) 1) (+.f64 1 eps))
(/.f64 (.f64 x (+.f64 1 (.f64 eps eps))) (+.f64 1 eps))
(.f64 (+.f64 1 (.f64 eps eps)) (/.f64 x (+.f64 1 eps)))
(/.f64 (.f64 (.f64 x (+.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (+.f64 1 (pow.f64 eps 3)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))
(/.f64 (.f64 (.f64 (neg.f64 x) (+.f64 1 (*.f64 eps eps))) 1) (+.f64 1 eps))
(.f64 (/.f64 (neg.f64 x) (+.f64 1 eps)) (+.f64 1 (.f64 eps eps)))
(.f64 (/.f64 x (+.f64 1 eps)) (-.f64 -1 (.f64 eps eps)))
(/.f64 (.f64 (.f64 (neg.f64 x) (+.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 (neg.f64 x) (+.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 (-.f64 (.f64 (.f64 x eps) (.f64 x eps)) (.f64 x x)) 1) (-.f64 (.f64 x eps) x))
(/.f64 (*.f64 (fma.f64 eps x x) (fma.f64 eps x (neg.f64 x))) (fma.f64 eps x (neg.f64 x)))
(/.f64 (.f64 x (-.f64 (.f64 x (.f64 eps eps)) x)) (.f64 x (+.f64 -1 eps)))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x eps) (.f64 x eps))) 1) (-.f64 x (.f64 x eps)))
(/.f64 (.f64 (fma.f64 eps x x) (-.f64 x (.f64 eps x))) (-.f64 x (*.f64 eps x)))
(/.f64 (.f64 x (-.f64 x (.f64 x (.f64 eps eps)))) (.f64 x (-.f64 1 eps)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (fma.f64 eps x x) 2)) 1) (fma.f64 eps x x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (fma.f64 eps x x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x eps) 3)) 1) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 x x) (.f64 x (.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 eps x) 3)) (fma.f64 (.f64 eps x) (.f64 eps x) (.f64 x (-.f64 x (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 eps x) 3)) (fma.f64 x x (.f64 (.f64 eps x) (.f64 x (+.f64 -1 eps)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x eps) 3)) 1) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x eps) (.f64 x eps)) (.f64 x (.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 eps x) 3)) (fma.f64 (.f64 eps x) (.f64 eps x) (.f64 x (-.f64 x (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 eps x) 3)) (fma.f64 x x (.f64 (.f64 eps x) (.f64 x (+.f64 -1 eps)))))
(/.f64 (.f64 (-.f64 0 (pow.f64 (fma.f64 eps x x) 3)) 1) (+.f64 (+.f64 0 (pow.f64 (fma.f64 eps x x) 2)) (.f64 (fma.f64 eps x x) 0)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 3)) (pow.f64 (fma.f64 eps x x) 2))
(/.f64 (.f64 (.f64 x (+.f64 1 (*.f64 eps eps))) -1) (+.f64 1 eps))
(.f64 (/.f64 (neg.f64 x) (+.f64 1 eps)) (+.f64 1 (.f64 eps eps)))
(.f64 (/.f64 x (+.f64 1 eps)) (-.f64 -1 (.f64 eps eps)))
(/.f64 (.f64 (.f64 x (+.f64 1 (pow.f64 eps 3))) -1) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 (neg.f64 x) (+.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 (.f64 (neg.f64 x) (+.f64 1 (*.f64 eps eps))) -1) (+.f64 1 eps))
(/.f64 (.f64 x (+.f64 1 (.f64 eps eps))) (+.f64 1 eps))
(.f64 (+.f64 1 (.f64 eps eps)) (/.f64 x (+.f64 1 eps)))
(/.f64 (.f64 (.f64 (neg.f64 x) (+.f64 1 (pow.f64 eps 3))) -1) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (+.f64 1 (pow.f64 eps 3)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x eps) (.f64 x eps)) (.f64 x x)) -1) (-.f64 (.f64 x eps) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 eps x x) (fma.f64 eps x (neg.f64 x)))) (fma.f64 eps x (neg.f64 x)))
(/.f64 (.f64 x (-.f64 x (.f64 x (.f64 eps eps)))) (.f64 x (+.f64 -1 eps)))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x eps) (.f64 x eps))) -1) (-.f64 x (.f64 x eps)))
(/.f64 (neg.f64 (.f64 (fma.f64 eps x x) (-.f64 x (.f64 eps x)))) (-.f64 x (*.f64 eps x)))
(/.f64 (.f64 x (-.f64 (.f64 x (.f64 eps eps)) x)) (.f64 x (-.f64 1 eps)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (fma.f64 eps x x) 2)) -1) (fma.f64 eps x x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2))) (fma.f64 eps x x))
(/.f64 (pow.f64 (fma.f64 eps x x) 2) (fma.f64 eps x x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x eps) 3)) -1) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 x x) (.f64 x (.f64 x eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 eps x) 3))) (fma.f64 (.f64 eps x) (.f64 eps x) (.f64 x (-.f64 x (*.f64 eps x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 eps x) 3))) (fma.f64 x x (.f64 (.f64 eps x) (.f64 x (+.f64 -1 eps)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x eps) 3)) -1) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x eps) (.f64 x eps)) (.f64 x (.f64 x eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 eps x) 3))) (fma.f64 (.f64 eps x) (.f64 eps x) (.f64 x (-.f64 x (*.f64 eps x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 eps x) 3))) (fma.f64 x x (.f64 (.f64 eps x) (.f64 x (+.f64 -1 eps)))))
(/.f64 (.f64 (-.f64 0 (pow.f64 (fma.f64 eps x x) 3)) -1) (+.f64 (+.f64 0 (pow.f64 (fma.f64 eps x x) 2)) (.f64 (fma.f64 eps x x) 0)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 3))) (pow.f64 (fma.f64 eps x x) 2))
(/.f64 (pow.f64 (fma.f64 eps x x) 3) (pow.f64 (fma.f64 eps x x) 2))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 eps eps))) (*.f64 x (hypot.f64 1 (sqrt.f64 eps)))) (hypot.f64 1 (sqrt.f64 eps)))
(/.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 eps)))
(.f64 (/.f64 (hypot.f64 1 eps) (hypot.f64 1 (sqrt.f64 eps))) (.f64 x (hypot.f64 1 (sqrt.f64 eps))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 eps 3))) (.f64 x (hypot.f64 1 (sqrt.f64 eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (sqrt.f64 (+.f64 1 (pow.f64 eps 3)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (.f64 x (hypot.f64 1 (sqrt.f64 eps))))
(pow.f64 (fma.f64 eps x x) 1)
(fma.f64 eps x x)
(pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)
(fma.f64 eps x x)
(pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)
(fma.f64 eps x x)
(pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)
(fma.f64 eps x x)
(neg.f64 (fma.f64 eps x x))
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(fabs.f64 (fma.f64 eps x x))
(log.f64 (exp.f64 (fma.f64 eps x x)))
(fma.f64 eps x x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))
(fma.f64 eps x x)
(cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))
(fma.f64 eps x x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 eps x x)))
(fma.f64 eps x x)
(exp.f64 (log.f64 (fma.f64 eps x x)))
(fma.f64 eps x x)
(log1p.f64 (expm1.f64 (fma.f64 eps x x)))
(fma.f64 eps x x)
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 eps x x)
(fma.f64 1 x (*.f64 x eps))
(fma.f64 eps x x)
(fma.f64 eps x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 eps x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 eps x x)

eval1.2s (7.8%)

Compiler: Compiled 76409 to 43187 computations (43.5% saved)

prune858.0ms (5.5%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	2086	14	2100
Fresh	4	9	13
Picked	1	0	1
Done	3	4	7
Total	2094	27	2121

Error

0.0b

Counts

2121 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.4b	(/.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)
	26.1b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (+.f64 eps -1) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
✓	26.2b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 eps 1) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
	47.9b	(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 -1 eps)) (.f64 x eps)) 3)) (+.f64 1 (.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 -1 eps)) (.f64 x eps)) (-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 -1 eps)) (.f64 x eps)) 1)))) 2)
	48.2b	(/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x eps 1) 3) (pow.f64 (.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) 3))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x eps 1) 3) (pow.f64 (.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) 3)))) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (exp.f64 (fma.f64 x eps x)) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (fma.f64 x eps 1))) (pow.f64 (fma.f64 x eps 1) 2))) 2)
	27.8b	(/.f64 (-.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 (-.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) (-.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)) (.f64 x x)) -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) -1/6)))) (exp.f64 (neg.f64 x)))))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	0.7b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	27.8b	(/.f64 (-.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))))) 2)
	1.0b	(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (/.f64 (.f64 -1 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps))))))) eps))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) 2)
	19.2b	(/.f64 (-.f64 (+.f64 1 (-.f64 (.f64 eps x) x)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
	47.3b	(/.f64 (-.f64 (+.f64 1 (*.f64 x eps)) (-.f64 (/.f64 1 eps) 1)) 2)
	47.0b	(/.f64 (-.f64 (+.f64 1 (.f64 x eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (-.f64 (*.f64 x eps) x)))) 2)
	18.8b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶	18.5b	(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
	26.1b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
▶	13.8b	(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
	19.3b	(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
	0.7b	(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))) 2)
	28.8b	(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 eps 7) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/2520) (fma.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/60) (pow.f64 eps 5) (fma.f64 (-.f64 (neg.f64 (.f64 x (exp.f64 (neg.f64 x)))) (.f64 x (exp.f64 (neg.f64 x)))) eps (.f64 (pow.f64 eps 3) (.f64 (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))) -1/3))))) eps))) 2)
	28.8b	(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 eps 7) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 7) -1/2520)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 5) -1/60)) (pow.f64 eps 5) (fma.f64 (.f64 (/.f64 x (exp.f64 x)) -2) eps (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) -1/3)))) eps))) 2)
▶	5.1b	(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 x (exp.f64 x)) -2) eps (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) -1/3)) eps))) 2)
	1.0b	(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (-.f64 (.f64 eps x) x))) eps))) 2)
	18.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2) 2)
	61.8b	(/.f64 (.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps)) x) 2)
▶	61.6b	(/.f64 (*.f64 x eps) 2)
✓	18.5b	(/.f64 2 2)
✓	44.8b	(/.f64 0 2)

Compiler

Compiled 2036 to 1426 computations (30% 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
0.0ms	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))

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1712×	`add-sqr-sqrt`
1696×	`*-un-lft-identity`
1582×	`add-cube-cbrt`
1564×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	164	15
2	2124	15

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1590×	`associate-/r*`
1066×	`associate-/l/`
1030×	`associate-r`
944×	`distribute-lft-in`
918×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	994
1	246	966
2	883	848
3	3804	846

Stop Event

1×	node limit

Counts

44 → 55

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1460×	`add-sqr-sqrt`
1434×	`*-un-lft-identity`
1344×	`add-cube-cbrt`
1328×	`add-cbrt-cube`
1314×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1810	13

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1356×	`associate-+r+`
1138×	`associate-+l+`
1070×	`associate-*r/`
930×	`associate-/l*`
750×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	692
1	160	692
2	713	686
3	2156	686

Stop Event

1×	node limit

Counts

52 → 31

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

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 44 to 27 computations (38.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`associate-*r/`
870×	`*-commutative`
842×	`associate-*l/`
508×	`swap-sqr`
496×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	232	19
2	2869	19

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1 (*.f64 (exp.f64 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (*.f64 -1 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)) (*.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x -1)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x -1))) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x -1))))) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (+.f64 (*.f64 x (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (-.f64 (*.f64 x (exp.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (exp.f64 x)) (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (exp.f64 x)) (-.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x (exp.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 x 1) (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) 1)) (sqrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 2))) (/.f64 1 (fma.f64 (+.f64 x 1) (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (/.f64 1 (+.f64 (exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 2)) (-.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (+.f64 x 1) (exp.f64 x) -1)) (+.f64 -1 (exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 2)) (-.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))) (+.f64 1 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 2))) (+.f64 -1 (exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 2)))) (fma.f64 (+.f64 x 1) (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 2))) (+.f64 -1 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))) (+.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) 1) (exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (-.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (*.f64 (-.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) (-.f64 1 (exp.f64 (+.f64 x (log1p.f64 x))))))) (-.f64 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simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1762×	`associate-/l*`
1118×	`distribute-lft-in`
1028×	`associate-/r*`
988×	`distribute-rgt-in`
816×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	5412
1	685	5006
2	2356	5004

Stop Event

1×	node limit

Counts

94 → 160

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 36 computations (52% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`associate-*r/`
1172×	`associate-*l/`
696×	`associate-/r*`
320×	`add-sqr-sqrt`
314×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	317	44
2	4342	44

Stop Event

1×	node limit

Counts

2 → 187

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 eps x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (exp.f64 (*.f64 eps x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (exp.f64 (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (exp.f64 (*.f64 eps x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 eps x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (*.f64 eps x))) (sqrt.f64 (exp.f64 (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (*.f64 eps x))) (neg.f64 (sqrt.f64 (exp.f64 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simplify144.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

900×	`+-commutative`
834×	`times-frac`
678×	`fma-def`
636×	`associate-+r-`
594×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	468	12047
1	1198	11269
2	6241	11075

Stop Event

1×	node limit

Counts

219 → 318

Calls

Call 1

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

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

localize76.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) -1/3)
✓	0.2b	(pow.f64 (*.f64 eps x) 3)
✓	4.9b	(.f64 (exp.f64 (neg.f64 x)) (pow.f64 (.f64 eps x) 3))
✓	12.9b	(/.f64 (fma.f64 (.f64 (/.f64 x (exp.f64 x)) -2) eps (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 (.f64 eps x) 3)) -1/3)) eps)

Compiler

Compiled 251 to 111 computations (55.8% saved)

series14.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`associate-*l/`
1706×	`associate-/r*`
414×	`add-sqr-sqrt`
394×	`*-un-lft-identity`
392×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	136
1	423	124
2	5358	124

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps)) (sqrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) (.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps)) 2) (cbrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) 2)) (.f64 (cbrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 eps) (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) (/.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) 1) (/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) 2)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) 2)) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) 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(.f64 x eps) 3) -1/3))) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 x eps) 3) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (.f64 x eps) 3)) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (.f64 x eps) 3)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (pow.f64 (.f64 x eps) 3)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x eps) 3)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (.f64 x eps) 3))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (.f64 x eps) 3) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x eps) 3/2) (sqrt.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x eps) (cbrt.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 x eps) 6) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 (.f64 x eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (.f64 x eps) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 x eps) 3) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (.f64 3 (log.f64 (.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 x (.f64 3 (log.f64 (.f64 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x eps) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 eps (pow.f64 (.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (.f64 x (pow.f64 (.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x eps) (pow.f64 (.f64 x eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x eps) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 x eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x eps) 3/2) (pow.f64 (.f64 x eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x eps)) (.f64 (sqrt.f64 (.f64 x eps)) (pow.f64 (.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (.f64 (cbrt.f64 (.f64 x eps)) (pow.f64 (.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x eps) 2) (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 eps 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3) (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x eps) 2) x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x eps) 2) eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x eps) 2) 1) (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x eps) 2) (sqrt.f64 (.f64 x eps))) (sqrt.f64 (.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x eps) 2) (cbrt.f64 (pow.f64 (.f64 x eps) 2))) (cbrt.f64 (.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 x eps)) 3) (pow.f64 (sqrt.f64 (.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) 3) (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 0 (.f64 x x)) (.f64 eps (pow.f64 (.f64 x eps) 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 0 (pow.f64 x 3)) (.f64 eps (pow.f64 (.f64 x eps) 2))) (+.f64 0 (+.f64 (.f64 x x) (.f64 0 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 x eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 x eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 x eps) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 x eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 x eps) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (exp.f64 x)) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (exp.f64 x)) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (.f64 (pow.f64 (.f64 x eps) 3) -1/3)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.f64 (sqrt.f64 (exp.f64 x)) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 -1/3) (.f64 (.f64 x eps) (cbrt.f64 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 x eps) 6) (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 x (log.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))))))))

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1686×	`distribute-lft-in`
1592×	`associate-/r/`
868×	`associate-r`
758×	`associate-l`
500×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	321	7712
1	827	7162
2	4319	7162

Stop Event

1×	node limit

Counts

204 → 220

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 x) (.f64 (-.f64 (.f64 -1/3 (pow.f64 eps 2)) 1) (pow.f64 x 3))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 x) (+.f64 (.f64 (-.f64 (.f64 -1/3 (pow.f64 eps 2)) 1) (pow.f64 x 3)) (.f64 (+.f64 1/3 (.f64 1/3 (pow.f64 eps 2))) (pow.f64 x 4)))))
(.f64 -1/3 (.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(+.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))
(+.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))
(+.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))
(.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))) (*.f64 -2 (/.f64 x (exp.f64 x))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))) (*.f64 -2 (/.f64 x (exp.f64 x))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))) (*.f64 -2 (/.f64 x (exp.f64 x))))
(*.f64 -2 (/.f64 x (exp.f64 x)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (.f64 -2 (/.f64 x (exp.f64 x))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (.f64 -2 (/.f64 x (exp.f64 x))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (.f64 -2 (/.f64 x (exp.f64 x))))
(.f64 -1/3 (.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(+.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))
(+.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))
(+.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))
(.f64 -1/3 (.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(+.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))
(+.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))
(+.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (pow.f64 x 4))) (*.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 6))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 (pow.f64 eps 3) (pow.f64 x 3)))))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(.f64 (pow.f64 eps 3) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/3 (.f64 (pow.f64 eps 3) (pow.f64 x 4))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/3 (.f64 (pow.f64 eps 3) (pow.f64 x 4)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/18 (.f64 (pow.f64 eps 3) (pow.f64 x 6))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/3 (.f64 (pow.f64 eps 3) (pow.f64 x 4))))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps))) 1)
(.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) (/.f64 1 eps))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps) 1)
(.f64 1 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps)) (sqrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) (.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) (/.f64 1 eps)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps)) 2) (cbrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) 2)) (.f64 (cbrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) (/.f64 1 eps)))
(.f64 (/.f64 1 eps) (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) (/.f64 -1 eps))
(.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) (sqrt.f64 eps)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) (cbrt.f64 eps)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) 1) (/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)))) eps))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)))) (cbrt.f64 eps)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)))) eps))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) 2)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)))) (sqrt.f64 eps)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) 2)) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps)))
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps) 3) 1/3)
(pow.f64 (/.f64 eps (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)))) -1)
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) (neg.f64 eps)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps)))
(exp.f64 (log.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) eps)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (.f64 x (.f64 (exp.f64 x) -2)) eps (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) eps)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)))) 1)
(/.f64 (pow.f64 (*.f64 x eps) 3) (exp.f64 x))
(/.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)) 1)
(/.f64 (.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (.f64 x eps) 3)) (sqrt.f64 (exp.f64 x)))
(/.f64 (.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (.f64 x eps) 3)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(/.f64 (.f64 -1 (pow.f64 (.f64 x eps) 3)) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x eps) 3)) (cbrt.f64 (exp.f64 x)))
(/.f64 (.f64 1 (.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (*.f64 x eps) 3))) (sqrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (pow.f64 (*.f64 x eps) 3) 1) (exp.f64 x))
(/.f64 (/.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(pow.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)) 1)
(pow.f64 (.f64 (pow.f64 (.f64 x eps) 3/2) (sqrt.f64 (exp.f64 x))) 2)
(pow.f64 (.f64 (.f64 x eps) (cbrt.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 x eps) 6) (pow.f64 (exp.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 (*.f64 x eps) 3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)))))
(cbrt.f64 (pow.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)) 3))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (.f64 x eps) 3) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 x eps) 3) 3) (pow.f64 (exp.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))))
(exp.f64 (+.f64 x (.f64 3 (log.f64 (.f64 x eps)))))
(exp.f64 (.f64 (+.f64 x (.f64 3 (log.f64 (*.f64 x eps)))) 1))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x eps) 3))) 1)
(.f64 x (.f64 eps (pow.f64 (*.f64 x eps) 2)))
(.f64 eps (.f64 x (pow.f64 (*.f64 x eps) 2)))
(.f64 (.f64 x eps) (pow.f64 (*.f64 x eps) 2))
(.f64 (pow.f64 (.f64 x eps) 3) 1)
(.f64 1 (pow.f64 (.f64 x eps) 3))
(.f64 (pow.f64 (.f64 x eps) 3/2) (pow.f64 (*.f64 x eps) 3/2))
(.f64 (sqrt.f64 (.f64 x eps)) (.f64 (sqrt.f64 (.f64 x eps)) (pow.f64 (*.f64 x eps) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (.f64 (cbrt.f64 (.f64 x eps)) (pow.f64 (*.f64 x eps) 2)))
(.f64 (pow.f64 (.f64 x eps) 2) (*.f64 x eps))
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 eps 3))
(.f64 (.f64 (pow.f64 (*.f64 x eps) 2) x) eps)
(.f64 (.f64 (pow.f64 (*.f64 x eps) 2) eps) x)
(.f64 (.f64 (pow.f64 (.f64 x eps) 2) 1) (.f64 x eps))
(.f64 (.f64 (pow.f64 (.f64 x eps) 2) (sqrt.f64 (.f64 x eps))) (sqrt.f64 (*.f64 x eps)))
(.f64 (.f64 (pow.f64 (.f64 x eps) 2) (cbrt.f64 (pow.f64 (.f64 x eps) 2))) (cbrt.f64 (*.f64 x eps)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x eps)) 3) (pow.f64 (sqrt.f64 (*.f64 x eps)) 3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) 3) (*.f64 x eps))
(/.f64 (.f64 (-.f64 0 (.f64 x x)) (.f64 eps (pow.f64 (.f64 x eps) 2))) x)
(/.f64 (.f64 (-.f64 0 (pow.f64 x 3)) (.f64 eps (pow.f64 (.f64 x eps) 2))) (+.f64 0 (+.f64 (.f64 x x) (*.f64 0 x))))
(sqrt.f64 (pow.f64 (*.f64 x eps) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 x eps) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x eps) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x eps) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x eps) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 x eps))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x eps) 3)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)))) 1)
(/.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) 1)
(/.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3) (exp.f64 x))
(/.f64 (.f64 (sqrt.f64 (exp.f64 x)) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) (sqrt.f64 (exp.f64 x)))
(/.f64 (.f64 (cbrt.f64 (exp.f64 x)) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(/.f64 (.f64 -1 (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) (cbrt.f64 (exp.f64 x)))
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 x eps) 3) -1/3) 1) (exp.f64 x))
(/.f64 (.f64 1 (.f64 (sqrt.f64 (exp.f64 x)) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) (sqrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3) 1) (exp.f64 x))
(/.f64 (/.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(pow.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) 1)
(pow.f64 (sqrt.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) 2)
(pow.f64 (.f64 (cbrt.f64 -1/3) (.f64 (*.f64 x eps) (cbrt.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) 3) 1/3)
(sqrt.f64 (.f64 1/9 (.f64 (pow.f64 (*.f64 x eps) 6) (pow.f64 (exp.f64 x) 2))))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)))))
(cbrt.f64 (pow.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) 3))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))))
(exp.f64 (+.f64 x (log.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3))))
(exp.f64 (.f64 (+.f64 x (log.f64 (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) 1))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 x))
(fma.f64 2 (.f64 x x) (.f64 -2 x))
(fma.f64 -2 x (.f64 x (.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 x) (.f64 (-.f64 (.f64 -1/3 (pow.f64 eps 2)) 1) (pow.f64 x 3))))
(fma.f64 2 (.f64 x x) (fma.f64 -2 x (.f64 (fma.f64 -1/3 (*.f64 eps eps) -1) (pow.f64 x 3))))
(fma.f64 2 (.f64 x x) (fma.f64 (fma.f64 -1/3 (.f64 eps eps) -1) (pow.f64 x 3) (*.f64 -2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 x) (+.f64 (.f64 (-.f64 (.f64 -1/3 (pow.f64 eps 2)) 1) (pow.f64 x 3)) (.f64 (+.f64 1/3 (.f64 1/3 (pow.f64 eps 2))) (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (fma.f64 -2 x (fma.f64 (fma.f64 -1/3 (.f64 eps eps) -1) (pow.f64 x 3) (.f64 (+.f64 1/3 (.f64 (*.f64 eps eps) 1/3)) (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (fma.f64 -2 x (fma.f64 (fma.f64 -1/3 (.f64 eps eps) -1) (pow.f64 x 3) (.f64 (fma.f64 (.f64 eps eps) 1/3 1/3) (pow.f64 x 4)))))
(.f64 -1/3 (.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))
(.f64 -1/3 (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))))
(.f64 -1/3 (.f64 eps (.f64 eps (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))))))
(.f64 -1/3 (.f64 (pow.f64 x 3) (.f64 eps (.f64 eps (exp.f64 (neg.f64 x))))))
(+.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))
(fma.f64 -2 (/.f64 x (exp.f64 x)) (.f64 -1/3 (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/3 (.f64 eps (.f64 eps (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))))) (.f64 -2 (/.f64 x (exp.f64 x))))
(fma.f64 -1/3 (.f64 (pow.f64 x 3) (.f64 eps (.f64 eps (exp.f64 (neg.f64 x))))) (.f64 (/.f64 -2 (exp.f64 x)) x))
(+.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))
(fma.f64 -2 (/.f64 x (exp.f64 x)) (.f64 -1/3 (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/3 (.f64 eps (.f64 eps (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))))) (.f64 -2 (/.f64 x (exp.f64 x))))
(fma.f64 -1/3 (.f64 (pow.f64 x 3) (.f64 eps (.f64 eps (exp.f64 (neg.f64 x))))) (.f64 (/.f64 -2 (exp.f64 x)) x))
(+.f64 (.f64 -2 (/.f64 x (exp.f64 x))) (.f64 -1/3 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))
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(pow.f64 (.f64 (.f64 x eps) (cbrt.f64 (exp.f64 x))) 3)
(.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))
(pow.f64 (pow.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)) 3) 1/3)
(.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))
(sqrt.f64 (.f64 (pow.f64 (.f64 x eps) 6) (pow.f64 (exp.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 (*.f64 x eps) 3)))
(.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)))))
(.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))
(cbrt.f64 (pow.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3)) 3))
(.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (.f64 x eps) 3) 3)))
(.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 x eps) 3) 3) (pow.f64 (exp.f64 x) 3)))
(.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))))
(.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))
(exp.f64 (+.f64 x (.f64 3 (log.f64 (.f64 x eps)))))
(.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))
(exp.f64 (.f64 (+.f64 x (.f64 3 (log.f64 (*.f64 x eps)))) 1))
(.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))))
(.f64 (exp.f64 x) (pow.f64 (.f64 x eps) 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x eps) 3))) 1)
(pow.f64 (*.f64 x eps) 3)
(.f64 x (.f64 eps (pow.f64 (*.f64 x eps) 2)))
(pow.f64 (*.f64 x eps) 3)
(.f64 eps (.f64 x (pow.f64 (*.f64 x eps) 2)))
(pow.f64 (*.f64 x eps) 3)
(.f64 (.f64 x eps) (pow.f64 (*.f64 x eps) 2))
(pow.f64 (*.f64 x eps) 3)
(.f64 (pow.f64 (.f64 x eps) 3) 1)
(pow.f64 (*.f64 x eps) 3)
(.f64 1 (pow.f64 (.f64 x eps) 3))
(pow.f64 (*.f64 x eps) 3)
(.f64 (pow.f64 (.f64 x eps) 3/2) (pow.f64 (*.f64 x eps) 3/2))
(pow.f64 (*.f64 x eps) 3)
(.f64 (sqrt.f64 (.f64 x eps)) (.f64 (sqrt.f64 (.f64 x eps)) (pow.f64 (*.f64 x eps) 2)))
(pow.f64 (*.f64 x eps) 3)
(.f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (.f64 (cbrt.f64 (.f64 x eps)) (pow.f64 (*.f64 x eps) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (.f64 (pow.f64 (.f64 x eps) 2) (cbrt.f64 (*.f64 x eps))))
(.f64 (cbrt.f64 (.f64 x eps)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x eps) 2)) 4))
(.f64 (pow.f64 (.f64 x eps) 2) (*.f64 x eps))
(pow.f64 (*.f64 x eps) 3)
(*.f64 (pow.f64 eps 3) (pow.f64 x 3))
(pow.f64 (*.f64 x eps) 3)
(*.f64 (pow.f64 x 3) (pow.f64 eps 3))
(pow.f64 (*.f64 x eps) 3)
(.f64 (.f64 (pow.f64 (*.f64 x eps) 2) x) eps)
(pow.f64 (*.f64 x eps) 3)
(.f64 (.f64 (pow.f64 (*.f64 x eps) 2) eps) x)
(pow.f64 (*.f64 x eps) 3)
(.f64 (.f64 (pow.f64 (.f64 x eps) 2) 1) (.f64 x eps))
(pow.f64 (*.f64 x eps) 3)
(.f64 (.f64 (pow.f64 (.f64 x eps) 2) (sqrt.f64 (.f64 x eps))) (sqrt.f64 (*.f64 x eps)))
(pow.f64 (*.f64 x eps) 3)
(.f64 (.f64 (pow.f64 (.f64 x eps) 2) (cbrt.f64 (pow.f64 (.f64 x eps) 2))) (cbrt.f64 (*.f64 x eps)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (.f64 (pow.f64 (.f64 x eps) 2) (cbrt.f64 (*.f64 x eps))))
(.f64 (cbrt.f64 (.f64 x eps)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x eps) 2)) 4))
(.f64 (pow.f64 (sqrt.f64 (.f64 x eps)) 3) (pow.f64 (sqrt.f64 (*.f64 x eps)) 3))
(pow.f64 (*.f64 x eps) 3)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) 3) (*.f64 x eps))
(pow.f64 (*.f64 x eps) 3)
(/.f64 (.f64 (-.f64 0 (.f64 x x)) (.f64 eps (pow.f64 (.f64 x eps) 2))) x)
(/.f64 (.f64 (.f64 (neg.f64 (.f64 x x)) eps) (pow.f64 (.f64 x eps) 2)) x)
(.f64 (/.f64 (neg.f64 (.f64 x x)) x) (.f64 eps (pow.f64 (.f64 x eps) 2)))
(/.f64 (.f64 (-.f64 0 (pow.f64 x 3)) (.f64 eps (pow.f64 (.f64 x eps) 2))) (+.f64 0 (+.f64 (.f64 x x) (*.f64 0 x))))
(/.f64 (neg.f64 (pow.f64 x 3)) (/.f64 (fma.f64 x x 0) (.f64 eps (pow.f64 (.f64 x eps) 2))))
(.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (.f64 x x)) (.f64 eps (pow.f64 (.f64 x eps) 2)))
(.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (/.f64 (.f64 x x) eps)) (pow.f64 (*.f64 x eps) 2))
(sqrt.f64 (pow.f64 (*.f64 x eps) 6))
(fabs.f64 (pow.f64 (*.f64 x eps) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 x eps) 3)))
(pow.f64 (*.f64 x eps) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x eps) 3))))
(pow.f64 (*.f64 x eps) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x eps) 3) 3))
(pow.f64 (*.f64 x eps) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x eps) 3)))
(pow.f64 (*.f64 x eps) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 x eps))))
(pow.f64 (*.f64 x eps) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x eps))) 1))
(pow.f64 (*.f64 x eps) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x eps) 3)))
(pow.f64 (*.f64 x eps) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)))) 1)
(.f64 (exp.f64 x) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (pow.f64 (.f64 x eps) 3) (*.f64 (exp.f64 x) -1/3))
(/.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) 1)
(.f64 (exp.f64 x) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (pow.f64 (.f64 x eps) 3) (*.f64 (exp.f64 x) -1/3))
(/.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3) (exp.f64 x))
(.f64 (.f64 -1/3 (pow.f64 eps 3)) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))))
(.f64 -1/3 (/.f64 (pow.f64 (.f64 x eps) 3) (exp.f64 x)))
(.f64 (/.f64 -1/3 (exp.f64 x)) (pow.f64 (.f64 x eps) 3))
(/.f64 (.f64 (sqrt.f64 (exp.f64 x)) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) (sqrt.f64 (exp.f64 x)))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) (.f64 -1/3 (pow.f64 (.f64 x eps) 3))))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) -1/3) (pow.f64 (*.f64 x eps) 3)))
(.f64 (.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))) (pow.f64 (*.f64 x eps) 3)) -1/3)
(/.f64 (.f64 (cbrt.f64 (exp.f64 x)) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(/.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 -1/3 (pow.f64 (.f64 x eps) 3))))
(.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (.f64 (/.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x))) -1/3)
(/.f64 (.f64 -1 (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 (neg.f64 (pow.f64 (.f64 x eps) 3)) -1/3) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 1/3 (pow.f64 (.f64 x eps) 3)) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) (cbrt.f64 (exp.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (cbrt.f64 (exp.f64 x)) (.f64 -1/3 (pow.f64 (.f64 x eps) 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x))) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(/.f64 (.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (cbrt.f64 (exp.f64 x)) -1/3))
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 x eps) 3) -1/3) 1) (exp.f64 x))
(.f64 (.f64 -1/3 (pow.f64 eps 3)) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))))
(.f64 -1/3 (/.f64 (pow.f64 (.f64 x eps) 3) (exp.f64 x)))
(.f64 (/.f64 -1/3 (exp.f64 x)) (pow.f64 (.f64 x eps) 3))
(/.f64 (.f64 1 (.f64 (sqrt.f64 (exp.f64 x)) (.f64 (pow.f64 (.f64 x eps) 3) -1/3))) (sqrt.f64 (exp.f64 x)))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) (.f64 -1/3 (pow.f64 (.f64 x eps) 3))))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) -1/3) (pow.f64 (*.f64 x eps) 3)))
(.f64 (.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))) (pow.f64 (*.f64 x eps) 3)) -1/3)
(/.f64 (/.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3) 1) (exp.f64 x))
(.f64 (.f64 -1/3 (pow.f64 eps 3)) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))))
(.f64 -1/3 (/.f64 (pow.f64 (.f64 x eps) 3) (exp.f64 x)))
(.f64 (/.f64 -1/3 (exp.f64 x)) (pow.f64 (.f64 x eps) 3))
(/.f64 (/.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(.f64 (.f64 -1/3 (pow.f64 eps 3)) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))))
(.f64 -1/3 (/.f64 (pow.f64 (.f64 x eps) 3) (exp.f64 x)))
(.f64 (/.f64 -1/3 (exp.f64 x)) (pow.f64 (.f64 x eps) 3))
(pow.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) 1)
(.f64 (exp.f64 x) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (pow.f64 (.f64 x eps) 3) (*.f64 (exp.f64 x) -1/3))
(pow.f64 (sqrt.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) 2)
(.f64 (exp.f64 x) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (pow.f64 (.f64 x eps) 3) (*.f64 (exp.f64 x) -1/3))
(pow.f64 (.f64 (cbrt.f64 -1/3) (.f64 (*.f64 x eps) (cbrt.f64 (exp.f64 x)))) 3)
(.f64 (exp.f64 x) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (pow.f64 (.f64 x eps) 3) (*.f64 (exp.f64 x) -1/3))
(pow.f64 (pow.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) 3) 1/3)
(.f64 (exp.f64 x) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (pow.f64 (.f64 x eps) 3) (*.f64 (exp.f64 x) -1/3))
(sqrt.f64 (.f64 1/9 (.f64 (pow.f64 (*.f64 x eps) 6) (pow.f64 (exp.f64 x) 2))))
(sqrt.f64 (.f64 (.f64 (pow.f64 (*.f64 x eps) 6) (pow.f64 (exp.f64 x) 2)) 1/9))
(sqrt.f64 (.f64 (pow.f64 (.f64 x eps) 6) (*.f64 (pow.f64 (exp.f64 x) 2) 1/9)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (.f64 (pow.f64 (.f64 x eps) 3) -1/3)))
(.f64 (exp.f64 x) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (pow.f64 (.f64 x eps) 3) (*.f64 (exp.f64 x) -1/3))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)))))
(.f64 (exp.f64 x) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (pow.f64 (.f64 x eps) 3) (*.f64 (exp.f64 x) -1/3))
(cbrt.f64 (pow.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3)) 3))
(.f64 (exp.f64 x) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (pow.f64 (.f64 x eps) 3) (*.f64 (exp.f64 x) -1/3))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))))
(.f64 (exp.f64 x) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (pow.f64 (.f64 x eps) 3) (*.f64 (exp.f64 x) -1/3))
(exp.f64 (+.f64 x (log.f64 (.f64 (pow.f64 (.f64 x eps) 3) -1/3))))
(.f64 (exp.f64 x) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (pow.f64 (.f64 x eps) 3) (*.f64 (exp.f64 x) -1/3))
(exp.f64 (.f64 (+.f64 x (log.f64 (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))) 1))
(.f64 (exp.f64 x) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (pow.f64 (.f64 x eps) 3) (*.f64 (exp.f64 x) -1/3))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (*.f64 x eps) 3) -1/3))))
(.f64 (exp.f64 x) (.f64 -1/3 (pow.f64 (*.f64 x eps) 3)))
(.f64 (pow.f64 (.f64 x eps) 3) (*.f64 (exp.f64 x) -1/3))

eval726.0ms (4.6%)

Compiler: Compiled 35970 to 19205 computations (46.6% saved)

prune383.0ms (2.4%)

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	1207	13	1220
Fresh	4	14	18
Picked	1	0	1
Done	2	6	8
Total	1214	33	1247

Error

0.0b

Counts

1247 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.4b	(/.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)
	26.1b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (+.f64 eps -1) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
✓	26.2b	(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 eps 1) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
	47.9b	(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 -1 eps)) (.f64 x eps)) 3)) (+.f64 1 (.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 -1 eps)) (.f64 x eps)) (-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 -1 eps)) (.f64 x eps)) 1)))) 2)
	48.2b	(/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x eps 1) 3) (pow.f64 (.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) 3))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x eps 1) 3) (pow.f64 (.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) 3)))) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (exp.f64 (fma.f64 x eps x)) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (fma.f64 x eps 1))) (pow.f64 (fma.f64 x eps 1) 2))) 2)
	27.8b	(/.f64 (-.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 (-.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) (-.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)) (.f64 x x)) -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) -1/6)))) (exp.f64 (neg.f64 x)))))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	0.7b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
	18.8b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2)
✓	0.7b	(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	27.8b	(/.f64 (-.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))))) 2)
	1.0b	(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (/.f64 (.f64 -1 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps))))))) eps))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) 2)
	19.2b	(/.f64 (-.f64 (+.f64 1 (-.f64 (.f64 eps x) x)) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 2)
	18.7b	(/.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	47.3b	(/.f64 (-.f64 (+.f64 1 (*.f64 x eps)) (-.f64 (/.f64 1 eps) 1)) 2)
	18.8b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
	18.9b	(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2)
	26.1b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
	19.1b	(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 1)) 2)
	19.1b	(/.f64 (-.f64 1 (*.f64 (exp.f64 x) (+.f64 x -1))) 2)
	0.7b	(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))) 2)
	19.1b	(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (fma.f64 -1/3 (.f64 (pow.f64 x 3) (.f64 eps (.f64 eps (exp.f64 (neg.f64 x))))) (*.f64 (/.f64 -2 (exp.f64 x)) x)))) 2)
	28.8b	(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 eps 7) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/2520) (fma.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/60) (pow.f64 eps 5) (fma.f64 (-.f64 (neg.f64 (.f64 x (exp.f64 (neg.f64 x)))) (.f64 x (exp.f64 (neg.f64 x)))) eps (.f64 (pow.f64 eps 3) (.f64 (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))) -1/3))))) eps))) 2)
	28.8b	(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 eps 7) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 7) -1/2520)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 5) -1/60)) (pow.f64 eps 5) (fma.f64 (.f64 (/.f64 x (exp.f64 x)) -2) eps (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) -1/3)))) eps))) 2)
	1.0b	(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (-.f64 (.f64 eps x) x))) eps))) 2)
	18.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2) 2)
	13.8b	(/.f64 (+.f64 (exp.f64 (.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (.f64 eps x) x))) 2)
	19.0b	(/.f64 (+.f64 2 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) 2)
	18.9b	(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) 2)
	18.5b	(/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2)
	44.5b	(/.f64 (*.f64 (exp.f64 (neg.f64 x)) x) 2)
✓	61.6b	(/.f64 (*.f64 x eps) 2)
✓	18.5b	(/.f64 2 2)
✓	44.8b	(/.f64 0 2)

Compiler

Compiled 1132 to 803 computations (29.1% saved)

regimes101.0ms (0.6%)

Counts

54 → 1

Calls

Call 1

Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 1)) 2)
(/.f64 (.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps)) x) 2)
(/.f64 (+.f64 2 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 x eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2) 2)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) x) 2)
(/.f64 (-.f64 1 (*.f64 (exp.f64 x) (+.f64 x -1))) 2)
(/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (+.f64 1 (-.f64 (.f64 eps x) x)) (neg.f64 (exp.f64 (neg.f64 (.f64 eps x))))) 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 1 (-.f64 (.f64 eps x) x)) (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 x eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (-.f64 (*.f64 x eps) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 x eps)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (.f64 eps x) (+.f64 (.f64 -1 x) x))) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 -1/8 x))) -1/2))) (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 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (.f64 -1 (.f64 (-.f64 1 eps) x)) 1)) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (exp.f64 (.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (.f64 eps x) x))) 2)
(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (.f64 eps 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 (neg.f64 (.f64 x (-.f64 1 eps)))) (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 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (+.f64 1 eps) (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 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 eps 1) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x 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 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (neg.f64 (/.f64 (.f64 -1 (-.f64 (exp.f64 (neg.f64 (.f64 x (-.f64 1 eps)))) (exp.f64 (neg.f64 (.f64 x (-.f64 1 (neg.f64 eps))))))) eps))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) 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 (E.f64) (*.f64 (+.f64 eps -1) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (-.f64 (.f64 eps x) x))) eps))) 2)
(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps)))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3))) 2)
(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (fma.f64 -1/3 (.f64 (pow.f64 x 3) (.f64 eps (.f64 eps (exp.f64 (neg.f64 x))))) (*.f64 (/.f64 -2 (exp.f64 x)) x)))) 2)
(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 x (exp.f64 x)) -2) eps (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) -1/3)) eps))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (-.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2)))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 -1 eps)) (.f64 x eps)) 3)) (+.f64 1 (.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 -1 eps)) (.f64 x eps)) (-.f64 (fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 -1 eps)) (.f64 x eps)) 1)))) 2)
(/.f64 (+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (-.f64 (.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)) (.f64 x x)) -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) -1/6)))))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 (+.f64 (.f64 x (-.f64 eps 1)) (log1p.f64 (/.f64 1 eps))) (+.f64 (.f64 x (-.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 eps 1)) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 2)
(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 eps 7) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 7) -1/2520)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 5) -1/60)) (pow.f64 eps 5) (fma.f64 (.f64 (/.f64 x (exp.f64 x)) -2) eps (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) -1/3)))) eps))) 2)
(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 eps 7) (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/2520) (fma.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/60) (pow.f64 eps 5) (fma.f64 (-.f64 (neg.f64 (.f64 x (exp.f64 (neg.f64 x)))) (.f64 x (exp.f64 (neg.f64 x)))) eps (.f64 (pow.f64 eps 3) (.f64 (.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))) -1/3))))) eps))) 2)
(/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x eps 1) 3) (pow.f64 (.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) 3))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x eps 1) 3) (pow.f64 (.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) 3)))) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (exp.f64 (fma.f64 x eps x)) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (fma.f64 x eps 1))) (pow.f64 (fma.f64 x eps 1) 2))) 2)
(/.f64 (-.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))))) 2)
(/.f64 (-.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 (-.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) (-.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)) (.f64 x x)) -1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) -1/6)))) (exp.f64 (neg.f64 x)))))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)

Outputs
(/.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)

Calls

4 calls:

24.0ms	eps
24.0ms	x
5.0ms	(-.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
0.7b	1	`x`
0.7b	1	`eps`
0.7b	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)`
0.7b	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 1733 to 1121 computations (35.3% saved)

regimes58.0ms (0.4%)

Counts

36 → 1

Calls

Call 1

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

Calls

4 calls:

18.0ms	eps
17.0ms	x
4.0ms	(-.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)))))
4.0ms	(/.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
0.7b	1	`x`
0.7b	1	`eps`
0.7b	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)`
0.7b	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 673 to 473 computations (29.7% saved)

regimes40.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

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

16.0ms	eps
14.0ms	x

Results

Error	Segments	Branch
0.7b	1	`x`
0.7b	1	`eps`

Compiler

Compiled 449 to 308 computations (31.4% saved)

regimes39.0ms (0.2%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
14.0ms	eps

Results

Error	Segments	Branch
0.7b	1	`x`
0.7b	1	`eps`

Compiler

Compiled 433 to 298 computations (31.2% saved)

regimes68.0ms (0.4%)

Counts

26 → 2

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) x) 2)

Calls

2 calls:

36.0ms	eps
22.0ms	x

Results

Error	Segments	Branch
1.0b	2	`x`
12.7b	3	`eps`

Compiler

Compiled 403 to 283 computations (29.8% saved)

bsearch71.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
71.0ms	0.002297966076370006	4.607575436812108

Results

41.0ms	54×	body	1024	valid
9.0ms	30×	body	512	valid
6.0ms	36×	body	256	valid
6.0ms	38×	body	256	infinite
6.0ms	8×	body	2048	valid

Compiler

Compiled 348 to 277 computations (20.4% saved)

regimes41.0ms (0.3%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	x
10.0ms	eps

Results

Error	Segments	Branch
1.2b	2	`x`
18.5b	1	`eps`

Compiler

Compiled 302 to 213 computations (29.5% saved)

bsearch59.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
58.0ms	0.002297966076370006	4.607575436812108

Results

30.0ms	58×	body	1024	valid
10.0ms	33×	body	512	valid
7.0ms	45×	body	256	infinite
5.0ms	32×	body	256	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 284 to 229 computations (19.4% saved)

regimes31.0ms (0.2%)

Counts

17 → 2

Calls

Call 1

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

Calls

2 calls:

16.0ms	x
8.0ms	eps

Results

Error	Segments	Branch
1.2b	2	`x`
18.5b	1	`eps`

Compiler

Compiled 201 to 148 computations (26.4% saved)

bsearch62.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
61.0ms	0.002297966076370006	4.607575436812108

Results

32.0ms	68×	body	1024	valid
9.0ms	54×	body	256	infinite
8.0ms	25×	body	512	valid
5.0ms	7×	body	2048	valid
5.0ms	28×	body	256	valid

Compiler

Compiled 276 to 221 computations (19.9% saved)

regimes29.0ms (0.2%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	x
9.0ms	eps

Results

Error	Segments	Branch
1.3b	2	`x`
18.5b	1	`eps`

Compiler

Compiled 184 to 137 computations (25.5% saved)

bsearch60.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
60.0ms	0.002297966076370006	4.607575436812108

Results

30.0ms	61×	body	1024	valid
11.0ms	35×	body	512	valid
9.0ms	51×	body	256	infinite
4.0ms	27×	body	256	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 228 to 189 computations (17.1% saved)

regimes87.0ms (0.6%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

71.0ms	eps
13.0ms	x

Results

Error	Segments	Branch
1.3b	2	`x`
17.5b	3	`eps`

Compiler

Compiled 121 to 92 computations (24% saved)

bsearch95.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
94.0ms	0.002297966076370006	4.607575436812108

Results

67.0ms	68×	body	1024	valid
9.0ms	29×	body	512	valid
7.0ms	47×	body	256	infinite
4.0ms	6×	body	2048	valid
4.0ms	25×	body	256	valid

Compiler

Compiled 244 to 197 computations (19.3% saved)

regimes60.0ms (0.4%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

45.0ms	eps
12.0ms	x

Results

Error	Segments	Branch
1.3b	2	`x`
18.5b	1	`eps`

Compiler

Compiled 104 to 79 computations (24% saved)

bsearch71.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
71.0ms	4.607575436812108	10468468279162.676

Results

34.0ms	60×	body	1024	valid
12.0ms	62×	body	256	valid
10.0ms	32×	body	512	valid
8.0ms	55×	body	256	infinite
5.0ms	6×	body	2048	valid

Compiler

Compiled 256 to 219 computations (14.5% saved)

regimes61.0ms (0.4%)

Accuracy

Total -61.4b remaining (-4567.1%)

Threshold costs -61.4b (-4567.1%)

Counts

6 → 2

Calls

Call 1

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

Outputs
(/.f64 2 2)
(/.f64 0 2)

Calls

2 calls:

55.0ms	x
5.0ms	eps

Results

Error	Segments	Branch
1.3b	2	`x`
18.5b	1	`eps`

Compiler

Compiled 53 to 41 computations (22.6% saved)

bsearch133.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
133.0ms	4.607575436812108	10468468279162.676

Results

64.0ms	62×	body	1024	valid
42.0ms	25×	body	512	valid
11.0ms	68×	body	256	valid
10.0ms	63×	body	256	infinite
4.0ms	5×	body	2048	valid

Compiler

Compiled 156 to 149 computations (4.5% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

294×	`*-commutative`
270×	`distribute-lft-neg-in`
182×	`+-commutative`
136×	`neg-sub0`
130×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	686
1	145	662
2	216	658
3	313	658
4	408	658
5	494	658
6	610	658
7	740	658
8	835	658
9	876	658
10	889	658
11	891	658

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.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 (*.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)
(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))) 2)
(if (<=.f64 x 4278419646001971/2251799813685248) (/.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 -1/8 x))) -1/2))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (.f64 (exp.f64 (neg.f64 x)) x) 2))
(if (<=.f64 x 6980579422424269/4503599627370496) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (.f64 (exp.f64 (neg.f64 x)) x) 2))
(if (<=.f64 x 6980579422424269/4503599627370496) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) x) 2))
(if (<=.f64 x 6530219459687219/2251799813685248) (/.f64 (+.f64 1 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (.f64 (exp.f64 (neg.f64 x)) x) 2))
(if (<=.f64 x 8782019273372467/4503599627370496) (/.f64 (+.f64 2 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x 1/3)))) 2) (/.f64 (.f64 (exp.f64 (neg.f64 x)) x) 2))
(if (<=.f64 x 350) (/.f64 (+.f64 2 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)

Outputs
(/.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 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) (+.f64 (neg.f64 (.f64 x (exp.f64 (neg.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) (-.f64 (.f64 (neg.f64 x) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (+.f64 (+.f64 (.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) (+.f64 (.f64 x (exp.f64 (neg.f64 x))) (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)) (*.f64 (+.f64 x 1) (neg.f64 (exp.f64 (neg.f64 x))))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.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 x)))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))) 2)
(if (<=.f64 x 4278419646001971/2251799813685248) (/.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 -1/8 x))) -1/2))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (.f64 (exp.f64 (neg.f64 x)) x) 2))
(if (<=.f64 x 4278419646001971/2251799813685248) (/.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/8))) -1/2))) (.f64 (+.f64 x 1) (neg.f64 (exp.f64 (neg.f64 x))))) 2) (/.f64 (.f64 x (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 4278419646001971/2251799813685248) (/.f64 (+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/8))) -1/2)))) 2) (/.f64 (.f64 x (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 4278419646001971/2251799813685248) (/.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/8))) -1/2))) (.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 2) (/.f64 (.f64 x (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 6980579422424269/4503599627370496) (/.f64 (-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (.f64 (exp.f64 (neg.f64 x)) x) 2))
(if (<=.f64 x 6980579422424269/4503599627370496) (/.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) -1/2)) (.f64 (+.f64 x 1) (neg.f64 (exp.f64 (neg.f64 x))))) 2) (/.f64 (.f64 x (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 6980579422424269/4503599627370496) (/.f64 (+.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 1 (.f64 (.f64 x x) -1/2))) 2) (/.f64 (.f64 x (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 6980579422424269/4503599627370496) (/.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) -1/2)) (.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 2) (/.f64 (.f64 x (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 6980579422424269/4503599627370496) (/.f64 (-.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) (.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 2) (/.f64 (.f64 x (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 6980579422424269/4503599627370496) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) x) 2))
(if (<=.f64 x 6980579422424269/4503599627370496) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 -1 (neg.f64 (.f64 (.f64 x x) -1/2)))) 2) (/.f64 (*.f64 x (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 6980579422424269/4503599627370496) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 1 (.f64 (.f64 x x) -1/2))) 2) (/.f64 (*.f64 x (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 6980579422424269/4503599627370496) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (-.f64 1 (.f64 (.f64 x x) 1/2))) 2) (/.f64 (*.f64 x (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 6530219459687219/2251799813685248) (/.f64 (+.f64 1 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (.f64 (exp.f64 (neg.f64 x)) x) 2))
(if (<=.f64 x 6530219459687219/2251799813685248) (/.f64 (+.f64 1 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (.f64 x (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 6530219459687219/2251799813685248) (/.f64 (-.f64 1 (.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 2) (/.f64 (.f64 x (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 8782019273372467/4503599627370496) (/.f64 (+.f64 2 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x 1/3)))) 2) (/.f64 (.f64 (exp.f64 (neg.f64 x)) x) 2))
(if (<=.f64 x 8782019273372467/4503599627370496) (/.f64 (+.f64 2 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x 1/3)))) 2) (/.f64 (.f64 x (exp.f64 (neg.f64 x))) 2))
(if (<=.f64 x 350) (/.f64 (+.f64 2 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) 2) (/.f64 0 2))
(if (<=.f64 x 350) (/.f64 (+.f64 2 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) 2) 0)
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 360) 1 0)
(/.f64 0 2)
0

Compiler

Compiled 252 to 180 computations (28.6% saved)

soundness110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1196×	`associate-/l*`
1030×	`associate-l`
1026×	`times-frac`
872×	`associate-/r*`
816×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	60	89
2	162	73
3	511	73
4	1723	73

Stop Event

1×	node limit

Compiler

Compiled 148 to 114 computations (23% saved)

end134.0ms (0.9%)

Compiler: Compiled 230 to 132 computations (42.6% saved)

Iter	Nodes	Cost
0	86	686
1	145	662
2	216	658
3	313	658
4	408	658
5	494	658
6	610	658
7	740	658
8	835	658
9	876	658
10	889	658
11	891	658

Iter	Nodes	Cost
0	86	686
1	145	662
2	216	658
3	313	658
4	408	658
5	494	658
6	610	658
7	740	658
8	835	658
9	876	658
10	889	658
11	891	658

Iter	Nodes	Cost
0	86	686
1	145	662
2	216	658
3	313	658
4	408	658
5	494	658
6	610	658
7	740	658
8	835	658
9	876	658
10	889	658
11	891	658