Details

analyze1.0s (4.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.9%	50.1%	0%	0%	0%	0
0%	0%	49.9%	50.1%	0%	0%	0%	1
0%	0%	49.9%	50.1%	0%	0%	0%	2
0%	0%	49.9%	50.1%	0%	0%	0%	3
0%	0%	49.9%	50.1%	0%	0%	0%	4
0%	0%	49.9%	50.1%	0%	0%	0%	5
0%	0%	49.9%	50.1%	0%	0%	0%	6
0%	0%	49.9%	50.1%	0%	0%	0%	7
0%	0%	49.9%	50.1%	0%	0%	0%	8
0.8%	0.4%	49.5%	50.1%	0%	0%	0%	9
0.8%	0.4%	48.9%	50.1%	0%	0%	0.6%	10
1.2%	0.6%	48.2%	50.1%	0%	0%	1.1%	11
2.2%	1.1%	47.3%	50.1%	0%	0%	1.6%	12

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample8.5s (40.8%)

Results

5.4s	4233×	body	2048	valid
1.9s	2459×	body	1024	valid
302.0ms	473×	body	1024	unsamplable
271.0ms	768×	body	512	valid
217.0ms	309×	body	2048	unsamplable
141.0ms	780×	body	256	valid
129.0ms	729×	body	256	unsamplable
69.0ms	222×	body	512	unsamplable
24.0ms	16×	body	4096	valid
3.0ms	3×	body	2048	infinite

Bogosity

preprocess51.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

604×	`associate-/l/_binary64`
556×	`distribute-rgt-in_binary64`
547×	`distribute-lft-in_binary64`
333×	`div-sub_binary64`
265×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	112
1	146	112
2	314	112
3	787	112
4	3423	112
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

Inputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 b eps)) 1) (-.f64 (exp.f64 (*.f64 a eps)) 1)))
(/.f64 (.f64 a (-.f64 (exp.f64 (.f64 (+.f64 eps b) a)) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 b a)) 1)))
(/.f64 (.f64 b (-.f64 (exp.f64 (.f64 (+.f64 a eps) b)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a b)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))

Outputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 b eps)) 1) (-.f64 (exp.f64 (*.f64 a eps)) 1)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(/.f64 (.f64 a (-.f64 (exp.f64 (.f64 (+.f64 eps b) a)) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 b a)) 1)))
(.f64 (/.f64 a (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 a (+.f64 eps b))) (expm1.f64 (.f64 a b))))
(.f64 (/.f64 (expm1.f64 (.f64 a (+.f64 eps b))) (expm1.f64 (.f64 eps a))) (/.f64 a (expm1.f64 (.f64 a b))))
(/.f64 (.f64 a (expm1.f64 (.f64 a (+.f64 eps b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 a b))))
(.f64 a (/.f64 (expm1.f64 (.f64 a (+.f64 eps b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 a b)))))
(/.f64 (.f64 b (-.f64 (exp.f64 (.f64 (+.f64 a eps) b)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a b)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 b (expm1.f64 (.f64 b (+.f64 eps a)))) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a b))))
(.f64 (/.f64 b (expm1.f64 (.f64 a b))) (/.f64 (expm1.f64 (.f64 b (+.f64 eps a))) (expm1.f64 (.f64 eps b))))
(/.f64 (/.f64 (.f64 b (expm1.f64 (.f64 b (+.f64 eps a)))) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 a b)))
(.f64 b (/.f64 (expm1.f64 (.f64 b (+.f64 eps a))) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a b)))))

Symmetry

(sort a b)

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

986×	`times-frac_binary64`
580×	`associate-/l*_binary64`
452×	`associate-l_binary64`
435×	`associate-r_binary64`
372×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Outputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
(.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (/.f64 eps (expm1.f64 (.f64 eps b))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

eval32.0ms (0.2%)

Compiler: Compiled 45 to 28 computations (37.8% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

44.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.9b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	60.6b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Status

Error

Program

▶

44.9b

(*.f64 eps (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

▶

60.6b

(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Compiler

Compiled 48 to 32 computations (33.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps a))
✓	0.0b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	17.4b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	30.2b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 77 to 13 computations (83.1% saved)

series40.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
4.0ms	a	@	0	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
3.0ms	a	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	eps	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	a	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

rewrite241.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`prod-diff_binary64`
838×	`log-prod_binary64`
289×	`fma-def_binary64`
269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	294	73
2	4083	73

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

Inputs
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
(expm1.f64 (*.f64 eps a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))) (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) 1) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 2)) (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) eps) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) eps) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps 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simplify296.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

881×	`times-frac_binary64`
420×	`cancel-sign-sub-inv_binary64`
282×	`associate-r_binary64`
281×	`fma-def_binary64`
226×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	5625
1	1028	5551
2	3955	5252

Stop Event

1×	node limit

Counts

251 → 208

Calls

Call 1

Inputs
(/.f64 (+.f64 a b) (*.f64 a b))
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(/.f64 1 a)
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(/.f64 1 b)
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(/.f64 1 (*.f64 eps a))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (*.f64 eps a))) 1/2)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) 1/2))))) a) (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (*.f64 eps a)))) 1/2)
(-.f64 (+.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) 1/2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) 1/2))))) eps)))))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) 1/2))))) a) (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))))) 1/2)
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 1 (*.f64 eps b))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (*.f64 eps b))) 1/2)
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (+.f64 (/.f64 1 (.f64 eps b)) (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2))))) b))) 1/2)
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) 1/2))))) b) (.f64 (pow.f64 b 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) 1/2))) (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) 1/2)))))))))))))) 1/2)
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(.f64 (pow.f64 eps 2) (.f64 a b))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2)))))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2)))))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 (pow.f64 eps 5) (+.f64 (.f64 1/12 (.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (.f64 1/24 (.f64 a (pow.f64 b 4))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) b)) (.f64 1/12 (*.f64 (pow.f64 a 3) (pow.f64 b 2))))))))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 4) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b)))
(+.f64 (.f64 1/6 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))))
(+.f64 (.f64 1/6 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (+.f64 (.f64 1/24 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 4) (pow.f64 b 4)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b)))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)

Outputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 1/2 (/.f64 (.f64 a a) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b))))))) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (fma.f64 eps (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (.f64 -1/2 (.f64 (.f64 a b) (+.f64 a b))) (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))))) (/.f64 1 a)))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (-.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 (.f64 a a) (.f64 b b)) 1/4))) (/.f64 (.f64 (.f64 a a) (.f64 b b)) (+.f64 a b)))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b))))))) (.f64 eps eps) (fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
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(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 b (.f64 eps (expm1.f64 (*.f64 a eps))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b)))
(fma.f64 1/2 (.f64 (expm1.f64 (.f64 a eps)) (.f64 (.f64 b b) (.f64 eps eps))) (.f64 eps (.f64 b (expm1.f64 (.f64 a eps)))))
(fma.f64 eps (.f64 b (expm1.f64 (.f64 a eps))) (.f64 1/2 (.f64 (expm1.f64 (.f64 a eps)) (.f64 eps (.f64 eps (.f64 b b))))))
(.f64 (expm1.f64 (.f64 a eps)) (+.f64 (.f64 b eps) (.f64 1/2 (.f64 b (.f64 b (*.f64 eps eps))))))
(+.f64 (.f64 1/6 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))))
(fma.f64 1/6 (.f64 (expm1.f64 (.f64 a eps)) (.f64 (pow.f64 b 3) (pow.f64 eps 3))) (fma.f64 1/2 (.f64 (expm1.f64 (.f64 a eps)) (.f64 (.f64 b b) (.f64 eps eps))) (.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 3) (expm1.f64 (.f64 a eps)))) (fma.f64 eps (.f64 b (expm1.f64 (.f64 a eps))) (.f64 1/2 (.f64 (expm1.f64 (.f64 a eps)) (.f64 eps (.f64 eps (*.f64 b b)))))))
(fma.f64 1/6 (.f64 (pow.f64 b 3) (.f64 (pow.f64 eps 3) (expm1.f64 (.f64 a eps)))) (.f64 (expm1.f64 (.f64 a eps)) (+.f64 (.f64 b eps) (.f64 1/2 (.f64 b (.f64 b (.f64 eps eps)))))))
(+.f64 (.f64 1/6 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (+.f64 (.f64 1/24 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 4) (pow.f64 b 4)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b)))))
(fma.f64 1/6 (.f64 (expm1.f64 (.f64 a eps)) (.f64 (pow.f64 b 3) (pow.f64 eps 3))) (fma.f64 1/2 (.f64 (expm1.f64 (.f64 a eps)) (.f64 (.f64 b b) (.f64 eps eps))) (fma.f64 1/24 (.f64 (expm1.f64 (.f64 a eps)) (.f64 (pow.f64 b 4) (pow.f64 eps 4))) (.f64 eps (.f64 b (expm1.f64 (.f64 a eps)))))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 3) (expm1.f64 (.f64 a eps)))) (fma.f64 1/2 (.f64 (expm1.f64 (.f64 a eps)) (.f64 eps (.f64 eps (.f64 b b)))) (fma.f64 eps (.f64 b (expm1.f64 (.f64 a eps))) (.f64 1/24 (.f64 (pow.f64 b 4) (.f64 (expm1.f64 (.f64 a eps)) (pow.f64 eps 4)))))))
(+.f64 (.f64 (expm1.f64 (.f64 a eps)) (+.f64 (.f64 b eps) (.f64 1/24 (.f64 (pow.f64 b 4) (pow.f64 eps 4))))) (.f64 (expm1.f64 (.f64 a eps)) (+.f64 (.f64 1/2 (.f64 b (.f64 b (.f64 eps eps)))) (.f64 1/6 (*.f64 (pow.f64 b 3) (pow.f64 eps 3))))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(*.f64 eps a)
(*.f64 a eps)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (.f64 a eps))
(fma.f64 a eps (.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps))))
(.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 eps 3)) (*.f64 a eps)))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (fma.f64 a eps (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 eps 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (fma.f64 a eps (.f64 (pow.f64 a 3) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 eps 4)) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 eps 3)) (.f64 a eps))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 eps 4)) (fma.f64 a eps (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 eps 3))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 eps 4)) (fma.f64 a eps (.f64 (pow.f64 a 3) (.f64 1/6 (pow.f64 eps 3))))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(*.f64 eps a)
(*.f64 a eps)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (.f64 a eps))
(fma.f64 a eps (.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps))))
(.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 eps 3)) (*.f64 a eps)))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (fma.f64 a eps (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 eps 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (fma.f64 a eps (.f64 (pow.f64 a 3) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 eps 4)) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 eps 3)) (.f64 a eps))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 eps 4)) (fma.f64 a eps (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 eps 3))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 eps eps)) (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 eps 4)) (fma.f64 a eps (.f64 (pow.f64 a 3) (.f64 1/6 (pow.f64 eps 3))))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
✓	1.8b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
✓	1.9b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
✓	3.2b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

Compiler

Compiled 102 to 34 computations (66.7% saved)

series23.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
4.0ms	eps	@	inf	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
2.0ms	eps	@	-inf	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
1.0ms	b	@	-inf	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
1.0ms	eps	@	0	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`prod-diff_binary64`
345×	`log1p-udef_binary64`
342×	`expm1-udef_binary64`
201×	`add-sqr-sqrt_binary64`
198×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	49
1	395	49
2	5832	49

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
(-.f64 (exp.f64 (*.f64 a eps)) 1)
(-.f64 (exp.f64 (*.f64 b eps)) 1)
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

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

simplify247.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

866×	`times-frac_binary64`
574×	`distribute-rgt-in_binary64`
547×	`distribute-lft-in_binary64`
263×	`cancel-sign-sub-inv_binary64`
246×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	3456
1	815	3414
2	3046	3232

Stop Event

1×	node limit

Counts

275 → 223

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (exp.f64 (.f64 eps b))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b)))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (exp.f64 (.f64 eps b))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b))))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (exp.f64 (.f64 eps a))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a)))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 3) (exp.f64 (.f64 eps a))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a))))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(*.f64 eps (+.f64 a b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 a b) 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(*.f64 eps b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(*.f64 eps b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (.f64 1/24 (.f64 a (pow.f64 b 4))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) b)) (.f64 1/12 (.f64 (pow.f64 a 3) (pow.f64 b 2)))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)) (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (.f64 a b))))) (pow.f64 eps 3)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 1 a)
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 a)) (.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps)))))) a) (/.f64 1 a))) (.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (+.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps)))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps)))))) eps)))))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps)))))) a) (/.f64 1 a)))) (*.f64 1/2 eps))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 1 b)
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 b)) (.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 1/2 eps)))))) b) (/.f64 1 b))) (.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 1/2 eps)))))) b) (+.f64 (/.f64 1 b) (.f64 (pow.f64 b 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 1/2 eps)))))) eps)) (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 1/2 eps))))))))))) (*.f64 1/2 eps))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))

Outputs
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (exp.f64 (.f64 eps b))) 1)
(+.f64 (.f64 eps (.f64 (pow.f64 (exp.f64 eps) b) a)) (expm1.f64 (*.f64 eps b)))
(+.f64 (.f64 (+.f64 (.f64 eps a) 1) (pow.f64 (exp.f64 eps) b)) -1)
(fma.f64 (+.f64 (*.f64 eps a) 1) (pow.f64 (exp.f64 eps) b) -1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b)))) 1)
(+.f64 (fma.f64 eps (.f64 (pow.f64 (exp.f64 eps) b) a) (fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 (pow.f64 (exp.f64 eps) b) (*.f64 a a))) (pow.f64 (exp.f64 eps) b))) -1)
(+.f64 (+.f64 (.f64 (+.f64 (.f64 eps a) 1) (pow.f64 (exp.f64 eps) b)) (.f64 1/2 (.f64 (pow.f64 (exp.f64 eps) b) (.f64 (.f64 eps a) (*.f64 eps a))))) -1)
(+.f64 (.f64 (pow.f64 (exp.f64 eps) b) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (.f64 eps b)))
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (exp.f64 (.f64 eps b))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b))))) 1)
(+.f64 (fma.f64 eps (.f64 (pow.f64 (exp.f64 eps) b) a) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 (exp.f64 eps) b) (pow.f64 a 3))) (fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 (pow.f64 (exp.f64 eps) b) (*.f64 a a))) (pow.f64 (exp.f64 eps) b)))) -1)
(fma.f64 eps (.f64 (pow.f64 (exp.f64 eps) b) a) (+.f64 (fma.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 (exp.f64 eps) b) (pow.f64 a 3))) (.f64 1/2 (.f64 (pow.f64 (exp.f64 eps) b) (.f64 (.f64 eps a) (.f64 eps a))))) (expm1.f64 (*.f64 eps b))))
(+.f64 (+.f64 (.f64 (pow.f64 (exp.f64 eps) b) (.f64 (.f64 a a) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) a)))) (.f64 (+.f64 (*.f64 eps a) 1) (pow.f64 (exp.f64 eps) b))) -1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (exp.f64 (.f64 eps a))) 1)
(+.f64 (.f64 eps (.f64 b (pow.f64 (exp.f64 eps) a))) (expm1.f64 (*.f64 eps a)))
(fma.f64 (.f64 eps b) (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a)))
(fma.f64 (+.f64 (*.f64 eps b) 1) (pow.f64 (exp.f64 eps) a) -1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a)))) 1)
(+.f64 (fma.f64 eps (.f64 b (pow.f64 (exp.f64 eps) a)) (fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 (pow.f64 (exp.f64 eps) a) (*.f64 b b))) (pow.f64 (exp.f64 eps) a))) -1)
(+.f64 -1 (+.f64 (.f64 (+.f64 (.f64 eps b) 1) (pow.f64 (exp.f64 eps) a)) (.f64 1/2 (.f64 (.f64 eps eps) (.f64 (pow.f64 (exp.f64 eps) a) (*.f64 b b))))))
(+.f64 (.f64 (pow.f64 (exp.f64 eps) a) (.f64 b (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) b)))) (expm1.f64 (.f64 eps a)))
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 3) (exp.f64 (.f64 eps a))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a))))) 1)
(+.f64 (fma.f64 eps (.f64 b (pow.f64 (exp.f64 eps) a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 b 3))) (fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 (pow.f64 (exp.f64 eps) a) (*.f64 b b))) (pow.f64 (exp.f64 eps) a)))) -1)
(+.f64 -1 (+.f64 (fma.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 b 3))) (.f64 1/2 (.f64 (.f64 eps eps) (.f64 (pow.f64 (exp.f64 eps) a) (.f64 b b))))) (.f64 (+.f64 (*.f64 eps b) 1) (pow.f64 (exp.f64 eps) a))))
(+.f64 -1 (+.f64 (.f64 (pow.f64 (exp.f64 eps) a) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) b)))) (.f64 (+.f64 (*.f64 eps b) 1) (pow.f64 (exp.f64 eps) a))))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(*.f64 eps (+.f64 a b))
(*.f64 eps (+.f64 b a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))
(fma.f64 1/2 (.f64 (.f64 eps eps) (pow.f64 (+.f64 b a) 2)) (*.f64 eps (+.f64 b a)))
(fma.f64 eps (+.f64 b a) (.f64 1/2 (.f64 (*.f64 eps eps) (pow.f64 (+.f64 b a) 2))))
(.f64 (+.f64 b a) (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) (+.f64 b a))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 b a) 3)) (fma.f64 1/2 (.f64 (.f64 eps eps) (pow.f64 (+.f64 b a) 2)) (.f64 eps (+.f64 b a))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 b a) 3)) (fma.f64 eps (+.f64 b a) (.f64 1/2 (.f64 (.f64 eps eps) (pow.f64 (+.f64 b a) 2)))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 b a) 3)) (.f64 (+.f64 b a) (+.f64 eps (.f64 (.f64 1/2 (*.f64 eps eps)) (+.f64 b a)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 a b) 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 b a) 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 b a) 3)) (fma.f64 1/2 (.f64 (.f64 eps eps) (pow.f64 (+.f64 b a) 2)) (*.f64 eps (+.f64 b a)))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 b a) 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 b a) 3)) (fma.f64 eps (+.f64 b a) (.f64 1/2 (.f64 (*.f64 eps eps) (pow.f64 (+.f64 b a) 2))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 b a) 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 b a) 3)) (.f64 (+.f64 b a) (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) (+.f64 b a))))))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (.f64 eps a))
(fma.f64 eps a (.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a))))
(.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 a 3) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 a 3) (.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 eps a))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (.f64 eps a))
(fma.f64 eps a (.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a))))
(.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 a 3) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 a 3) (.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 eps a))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(*.f64 eps b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (.f64 eps b))
(fma.f64 eps b (.f64 1/2 (.f64 eps (.f64 eps (.f64 b b)))))
(.f64 b (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) b)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (fma.f64 eps b (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(fma.f64 (.f64 1/2 (.f64 eps eps)) (.f64 b b) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3) (*.f64 eps b)))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 eps b (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 b 3) 1/6))))
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(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 eps b (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3) (.f64 eps b))))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 eps b (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 3) 1/6)))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(*.f64 eps b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (.f64 eps b))
(fma.f64 eps b (.f64 1/2 (.f64 eps (.f64 eps (.f64 b b)))))
(.f64 b (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) b)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (fma.f64 eps b (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(fma.f64 (.f64 1/2 (.f64 eps eps)) (.f64 b b) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3) (*.f64 eps b)))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 eps b (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 b 3) 1/6))))
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(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 eps b (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3) (.f64 eps b))))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 eps b (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 3) 1/6)))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 b a) (*.f64 b a))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
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(+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a))) (-.f64 (+.f64 (fma.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps eps) (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a)))) (fma.f64 1/6 (.f64 eps eps) (.f64 1/2 (.f64 eps (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a))) (.f64 -1/2 eps)))))) b (/.f64 1 b)) (.f64 (.f64 b b) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (exp.f64 eps) a)) (expm1.f64 (.f64 eps a)))) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (.f64 eps eps) (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a)))) (fma.f64 1/6 (.f64 eps eps) (.f64 1/2 (.f64 eps (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a))) (.f64 -1/2 eps))))))) (.f64 1/6 (.f64 (.f64 eps eps) (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a))) (.f64 -1/2 eps))))))))) (*.f64 eps 1/2)))
(+.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (pow.f64 (exp.f64 eps) a)) (+.f64 (fma.f64 b (-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 eps eps) (expm1.f64 (.f64 eps a))) (pow.f64 (exp.f64 eps) a))) (fma.f64 1/2 (.f64 eps (+.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (pow.f64 (exp.f64 eps) a)) (.f64 eps -1/2))) (.f64 (.f64 eps eps) 1/6))) (fma.f64 (.f64 b b) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (exp.f64 eps) a) (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 eps 3)))) (fma.f64 (pow.f64 eps 3) 1/24 (fma.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 eps eps) (expm1.f64 (.f64 eps a))) (pow.f64 (exp.f64 eps) a))) (fma.f64 1/2 (.f64 eps (+.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (pow.f64 (exp.f64 eps) a)) (.f64 eps -1/2))) (.f64 (.f64 eps eps) 1/6)))) (.f64 (.f64 eps eps) (.f64 1/6 (+.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (pow.f64 (exp.f64 eps) a)) (.f64 eps -1/2))))))) (/.f64 1 b))) (*.f64 eps -1/2)))
(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (+.f64 (fma.f64 b (-.f64 (.f64 1/2 (/.f64 (.f64 eps eps) (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a)))))) (.f64 eps (+.f64 (.f64 1/6 eps) (.f64 1/2 (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (.f64 eps -1/2)))))) (/.f64 1 b)) (fma.f64 (.f64 b b) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 eps 3) (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (.f64 (pow.f64 eps 3) -1/24)) (fma.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (.f64 eps eps) (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a)))))) (.f64 eps (+.f64 (.f64 1/6 eps) (.f64 1/2 (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (.f64 eps -1/2))))))) (.f64 (.f64 eps eps) (.f64 1/6 (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (.f64 eps -1/2)))))) (*.f64 eps -1/2))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 eps (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 b a)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps b))))
(/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 eps (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 eps (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 b a)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps b))))
(/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 eps (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 eps (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 b a)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps b))))
(/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 eps (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 eps (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 b a)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps b))))
(/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 eps (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 eps (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 b a)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps b))))
(/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 eps (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 eps (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 b a)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps b))))
(/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 eps (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 eps (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 b a)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps b))))
(/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 eps (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 eps (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 b a)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps b))))
(/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 eps (expm1.f64 (*.f64 eps a)))))

eval249.0ms (1.2%)

Compiler: Compiled 16882 to 6627 computations (60.7% saved)

prune165.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	418	13	431
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	420	13	433

Error

0.6b

Counts

433 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	48.8b	(+.f64 (/.f64 1 b) (fma.f64 eps (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 b a) 2) (.f64 b a)) (/.f64 -1/2 (/.f64 (/.f64 (.f64 b b) (/.f64 (+.f64 b a) (.f64 a a))) (.f64 b (*.f64 a (+.f64 b a)))))) (/.f64 1 a)))
	51.8b	(.f64 eps (/.f64 1 (.f64 eps a)))
▶	38.3b	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
	59.6b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (-.f64 (exp.f64 (.f64 b eps)) 1)))
	55.3b	(.f64 eps (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 3)))
▶	39.4b	(.f64 eps (/.f64 (+.f64 a b) (.f64 a (*.f64 b eps))))
	33.2b	(/.f64 1 b)
▶	55.2b	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
	53.0b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (.f64 eps b)))))
▶	17.2b	(/.f64 (+.f64 b a) (*.f64 b a))
	58.1b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))) (.f64 eps -1/2)))
▶	33.5b	(/.f64 1 a)
	41.2b	(.f64 eps (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b))))

Compiler

Compiled 498 to 322 computations (35.3% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.8b	(/.f64 (+.f64 b a) (*.f64 b a))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series129.0ms (0.6%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
125.0ms	b	@	0	(/.f64 (+.f64 b a) (*.f64 b a))
1.0ms	b	@	inf	(/.f64 (+.f64 b a) (*.f64 b a))
1.0ms	a	@	-inf	(/.f64 (+.f64 b a) (*.f64 b a))
1.0ms	b	@	-inf	(/.f64 (+.f64 b a) (*.f64 b a))
1.0ms	a	@	inf	(/.f64 (+.f64 b a) (*.f64 b a))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`pow1_binary64`
816×	`add-log-exp_binary64`
816×	`log1p-expm1-u_binary64`
816×	`expm1-log1p-u_binary64`
799×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	136	10
2	2146	10

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 (+.f64 b a) (*.f64 b a))

Outputs

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

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	204
1	10	204

Stop Event

1×

saturated

Counts

62 → 42

Calls

Call 1

Inputs
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))

Outputs
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))

localize4.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	4.5b	(.f64 a (.f64 b eps))
✓	5.5b	(/.f64 (+.f64 a b) (.f64 a (.f64 b eps)))
✓	30.2b	(.f64 eps (/.f64 (+.f64 a b) (.f64 a (*.f64 b eps))))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series149.0ms (0.7%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
136.0ms	eps	@	0	(/.f64 (+.f64 a b) (.f64 a (.f64 b eps)))
1.0ms	a	@	-inf	(/.f64 (+.f64 a b) (.f64 a (.f64 b eps)))
1.0ms	eps	@	0	(.f64 eps (/.f64 (+.f64 a b) (.f64 a (*.f64 b eps))))
1.0ms	eps	@	inf	(/.f64 (+.f64 a b) (.f64 a (.f64 b eps)))
1.0ms	a	@	0	(/.f64 (+.f64 a b) (.f64 a (.f64 b eps)))

rewrite183.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`log-prod_binary64`
482×	`prod-diff_binary64`
449×	`pow-prod-down_binary64`
277×	`pow2_binary64`
251×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	199	36
2	3048	36

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs
(.f64 eps (/.f64 (+.f64 a b) (.f64 a (*.f64 b eps))))
(/.f64 (+.f64 a b) (.f64 a (.f64 b eps)))
(.f64 a (.f64 b eps))

Outputs

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

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

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

simplify36.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`associate-/r*_binary64`
4×	`*-commutative_binary64`
4×	`associate-/l/_binary64`
3×	`+-commutative_binary64`
2×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	1062
1	35	1062
2	49	1062
3	53	1062
4	54	1062

Stop Event

1×

saturated

Counts

206 → 113

Calls

Call 1

Inputs
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 (*.f64 eps a))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(/.f64 1 (*.f64 eps b))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(/.f64 1 (*.f64 eps b))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(/.f64 1 (*.f64 eps b))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(/.f64 1 (*.f64 eps a))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(/.f64 1 (*.f64 eps a))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))
(.f64 eps (.f64 a b))

Outputs
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 (*.f64 eps a))
(/.f64 1 (*.f64 a eps))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(/.f64 1 (*.f64 eps a))
(/.f64 1 (*.f64 a eps))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(/.f64 1 (*.f64 eps a))
(/.f64 1 (*.f64 a eps))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
(/.f64 (+.f64 a b) (.f64 b (.f64 a eps)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
(/.f64 (+.f64 a b) (.f64 b (.f64 a eps)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
(/.f64 (+.f64 a b) (.f64 b (.f64 a eps)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
(/.f64 (+.f64 a b) (.f64 b (.f64 a eps)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
(/.f64 (+.f64 a b) (.f64 b (.f64 a eps)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
(/.f64 (+.f64 a b) (.f64 b (.f64 a eps)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
(/.f64 (+.f64 a b) (.f64 b (.f64 a eps)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
(/.f64 (+.f64 a b) (.f64 b (.f64 a eps)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
(/.f64 (+.f64 a b) (.f64 b (.f64 a eps)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
(/.f64 (+.f64 a b) (.f64 b (.f64 a eps)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
(/.f64 (+.f64 a b) (.f64 b (.f64 a eps)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
(/.f64 (+.f64 a b) (.f64 b (.f64 a eps)))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))
(.f64 eps (.f64 a b))
(.f64 (.f64 a eps) b)
(.f64 b (.f64 a eps))

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
✓	0.0b	(+.f64 (/.f64 1 b) (*.f64 eps -1/2))
✓	0.0b	(exp.f64 (neg.f64 (*.f64 eps a)))
✓	2.0b	(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps a))))

Compiler

Compiled 66 to 31 computations (53% saved)

series169.0ms (0.8%)

Counts

4 → 76

Calls

27 calls:

Time	Variable		Point	Expression
144.0ms	b	@	inf	(+.f64 (/.f64 1 b) (*.f64 eps -1/2))
9.0ms	eps	@	inf	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
2.0ms	eps	@	0	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
1.0ms	a	@	inf	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
1.0ms	eps	@	-inf	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))

rewrite126.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`fma-def_binary64`
340×	`fma-neg_binary64`
286×	`expm1-udef_binary64`
285×	`log1p-udef_binary64`
233×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	337	45
2	4991	45

Stop Event

1×	node limit

Counts

4 → 228

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps a))))
(exp.f64 (neg.f64 (*.f64 eps a)))
(+.f64 (/.f64 1 b) (*.f64 eps -1/2))
(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))

Outputs
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simplify106.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

932×	`fma-def_binary64`
786×	`associate-l_binary64`
679×	`associate-r_binary64`
290×	`distribute-rgt-in_binary64`
286×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1432
1	369	1385
2	1411	1336
3	7562	1324

Stop Event

1×	node limit

Counts

304 → 269

Calls

Call 1

Inputs
(*.f64 eps a)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(*.f64 eps a)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
1
(+.f64 1 (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 1 (.f64 -1 (.f64 eps a))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 1 (+.f64 (.f64 -1 (.f64 eps a)) (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))))))
1
(+.f64 1 (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 1 (.f64 -1 (.f64 eps a))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 1 (+.f64 (.f64 -1 (.f64 eps a)) (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))))))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/12 (pow.f64 a 2)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 a) (.f64 1/6 a)) a)) (.f64 -1/24 (pow.f64 a 2)))) (pow.f64 eps 3))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/12 (pow.f64 a 2)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 a) (.f64 1/6 a)) a)) (.f64 -1/24 (pow.f64 a 2)))) (pow.f64 eps 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 -1/4 a) (.f64 1/6 a)) (pow.f64 a 2))) (+.f64 (.f64 1/2 (.f64 a (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/6 a) (.f64 -1/4 a)) a)) (+.f64 (.f64 1/12 (pow.f64 a 2)) (.f64 -1/24 (pow.f64 a 2)))))) (.f64 1/120 (pow.f64 a 3))))))) (+.f64 (/.f64 1 b) (/.f64 1 a)))))
(.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) 1/2))
(+.f64 (.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) 1/2)) (/.f64 1 b))
(+.f64 (.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) 1/2)) (/.f64 1 b))
(+.f64 (.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) 1/2)) (/.f64 1 b))
(.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps a))))))))
(+.f64 (.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps a)))))))) (/.f64 1 b))
(+.f64 (.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps a)))))))) (/.f64 1 b))
(+.f64 (.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps a)))))))) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) a)) (/.f64 1 a)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/2 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))))) (.f64 1/12 (pow.f64 eps 3)))) (pow.f64 a 2))) (+.f64 (/.f64 1 b) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) a)) (/.f64 1 a))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(/.f64 1 b)
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))

Outputs
(*.f64 eps a)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (.f64 a a)) (.f64 eps a))
(fma.f64 -1/2 (.f64 eps (.f64 eps (.f64 a a))) (.f64 eps a))
(.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps -1/2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
(fma.f64 -1/2 (.f64 eps (.f64 eps (.f64 a a))) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a (+.f64 eps (.f64 a (.f64 eps (*.f64 eps -1/2))))))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(fma.f64 -1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 eps a))))
(fma.f64 -1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 -1/2 (.f64 eps (.f64 eps (.f64 a a))) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 eps a))))
(fma.f64 -1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps -1/2)))))))
(*.f64 eps a)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (.f64 a a)) (.f64 eps a))
(fma.f64 -1/2 (.f64 eps (.f64 eps (.f64 a a))) (.f64 eps a))
(.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps -1/2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
(fma.f64 -1/2 (.f64 eps (.f64 eps (.f64 a a))) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a (+.f64 eps (.f64 a (.f64 eps (*.f64 eps -1/2))))))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(fma.f64 -1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 eps a))))
(fma.f64 -1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 -1/2 (.f64 eps (.f64 eps (.f64 a a))) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 eps a))))
(fma.f64 -1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps -1/2)))))))
1
(+.f64 1 (.f64 -1 (.f64 eps a)))
(+.f64 1 (*.f64 eps (neg.f64 a)))
(-.f64 1 (*.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 1 (.f64 -1 (.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (+.f64 1 (.f64 eps (neg.f64 a))))
(-.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 a a))) 1/2 1) (.f64 eps a))
(-.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 a a) 1/2) 1) (.f64 eps a))
(+.f64 1 (.f64 a (-.f64 (.f64 (.f64 eps 1/2) (.f64 eps a)) eps)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 1 (+.f64 (.f64 -1 (.f64 eps a)) (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (+.f64 1 (fma.f64 -1 (.f64 eps a) (.f64 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) -1/6))))
(+.f64 (fma.f64 (.f64 (pow.f64 eps 3) -1/6) (pow.f64 a 3) (.f64 eps (neg.f64 a))) (fma.f64 (.f64 eps (.f64 eps (*.f64 a a))) 1/2 1))
(-.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 a a) 1/2) 1) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
(+.f64 (.f64 a (-.f64 (.f64 (.f64 eps 1/2) (.f64 eps a)) eps)) (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 3) -1/6) 1))
1
(+.f64 1 (.f64 -1 (.f64 eps a)))
(+.f64 1 (*.f64 eps (neg.f64 a)))
(-.f64 1 (*.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 1 (.f64 -1 (.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (+.f64 1 (.f64 eps (neg.f64 a))))
(-.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 a a))) 1/2 1) (.f64 eps a))
(-.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 a a) 1/2) 1) (.f64 eps a))
(+.f64 1 (.f64 a (-.f64 (.f64 (.f64 eps 1/2) (.f64 eps a)) eps)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 1 (+.f64 (.f64 -1 (.f64 eps a)) (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (+.f64 1 (fma.f64 -1 (.f64 eps a) (.f64 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) -1/6))))
(+.f64 (fma.f64 (.f64 (pow.f64 eps 3) -1/6) (pow.f64 a 3) (.f64 eps (neg.f64 a))) (fma.f64 (.f64 eps (.f64 eps (*.f64 a a))) 1/2 1))
(-.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 a a) 1/2) 1) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
(+.f64 (.f64 a (-.f64 (.f64 (.f64 eps 1/2) (.f64 eps a)) eps)) (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 3) -1/6) 1))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(*.f64 -1/2 eps)
(*.f64 eps -1/2)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(*.f64 -1/2 eps)
(*.f64 eps -1/2)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(*.f64 -1/2 eps)
(*.f64 eps -1/2)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(*.f64 -1/2 eps)
(*.f64 eps -1/2)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 a -1/12)) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (fma.f64 (.f64 (.f64 (neg.f64 eps) eps) -1/12) a (/.f64 1 a)))
(+.f64 (/.f64 1 b) (fma.f64 a (.f64 (.f64 eps eps) 1/12) (/.f64 1 a)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/12 (pow.f64 a 2)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 a) (.f64 1/6 a)) a)) (.f64 -1/24 (pow.f64 a 2)))) (pow.f64 eps 3))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(fma.f64 -1 (.f64 (.f64 eps eps) (.f64 a -1/12)) (fma.f64 -1 (.f64 (pow.f64 eps 3) (fma.f64 1/12 (.f64 a a) (fma.f64 1/2 (.f64 a (.f64 a -1/12)) (.f64 (*.f64 a a) -1/24)))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (fma.f64 (neg.f64 (fma.f64 1/2 (.f64 (.f64 a a) -1/12) (.f64 a (.f64 a 1/24)))) (pow.f64 eps 3) (/.f64 1 b)) (fma.f64 (.f64 (.f64 (neg.f64 eps) eps) -1/12) a (/.f64 1 a)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 (.f64 eps eps) (-.f64 (.f64 a 1/12) (.f64 eps (.f64 a (+.f64 (.f64 a -1/24) (*.f64 a 1/24)))))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 1 a) (.f64 (.f64 eps eps) (+.f64 (.f64 a -1/12) (.f64 eps (.f64 a (+.f64 (.f64 a -1/24) (*.f64 a 1/24))))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/12 (pow.f64 a 2)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 a) (.f64 1/6 a)) a)) (.f64 -1/24 (pow.f64 a 2)))) (pow.f64 eps 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 -1/4 a) (.f64 1/6 a)) (pow.f64 a 2))) (+.f64 (.f64 1/2 (.f64 a (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/6 a) (.f64 -1/4 a)) a)) (+.f64 (.f64 1/12 (pow.f64 a 2)) (.f64 -1/24 (pow.f64 a 2)))))) (.f64 1/120 (pow.f64 a 3))))))) (+.f64 (/.f64 1 b) (/.f64 1 a)))))
(fma.f64 -1 (.f64 (.f64 eps eps) (.f64 a -1/12)) (fma.f64 -1 (.f64 (pow.f64 eps 3) (fma.f64 1/12 (.f64 a a) (fma.f64 1/2 (.f64 a (.f64 a -1/12)) (.f64 (.f64 a a) -1/24)))) (fma.f64 -1 (.f64 (pow.f64 eps 4) (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 -1/6 (.f64 (.f64 a a) (.f64 a -1/12)) (fma.f64 1/2 (.f64 a (fma.f64 1/2 (.f64 a (.f64 a -1/12)) (.f64 (.f64 a a) 1/24))) (*.f64 (pow.f64 a 3) 1/120))))) (+.f64 (/.f64 1 b) (/.f64 1 a)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 a) (fma.f64 (neg.f64 (pow.f64 eps 4)) (fma.f64 (pow.f64 a 3) -1/48 (fma.f64 -1/6 (.f64 (pow.f64 a 3) -1/12) (fma.f64 1/2 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 3) -1/12)) (.f64 (pow.f64 a 3) 1/24)) (.f64 (pow.f64 a 3) 1/120)))) (/.f64 1 b))) (.f64 (pow.f64 eps 3) (fma.f64 1/2 (.f64 (.f64 a a) -1/12) (.f64 a (.f64 a 1/24))))) (.f64 eps (.f64 eps (*.f64 a -1/12))))
(fma.f64 a (.f64 (.f64 eps eps) 1/12) (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (fma.f64 (pow.f64 eps 3) (.f64 a (+.f64 (.f64 a -1/24) (.f64 a 1/24))) (.f64 (pow.f64 eps 4) (+.f64 (fma.f64 1/2 (fma.f64 (pow.f64 a 3) 1/24 (.f64 (pow.f64 a 3) -1/24)) (.f64 (pow.f64 a 3) 1/72)) (*.f64 (pow.f64 a 3) -1/80))))))
(-.f64 (+.f64 (/.f64 1 b) (fma.f64 a (.f64 (.f64 eps eps) 1/12) (/.f64 1 a))) (fma.f64 (pow.f64 eps 3) (.f64 a (+.f64 (.f64 a -1/24) (.f64 a 1/24))) (.f64 (pow.f64 eps 4) (+.f64 (fma.f64 1/2 (fma.f64 (pow.f64 a 3) 1/24 (.f64 (pow.f64 a 3) -1/24)) (.f64 (pow.f64 a 3) 1/72)) (*.f64 (pow.f64 a 3) -1/80)))))
(.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) 1/2))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 a))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a))))))
(+.f64 (.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) 1/2)) (/.f64 1 b))
(fma.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a))))) -1/2) (/.f64 1 b))
(fma.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a))))) (/.f64 1 b))
(+.f64 (.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) 1/2)) (/.f64 1 b))
(fma.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a))))) -1/2) (/.f64 1 b))
(fma.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a))))) (/.f64 1 b))
(+.f64 (.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) 1/2)) (/.f64 1 b))
(fma.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a))))) -1/2) (/.f64 1 b))
(fma.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a))))) (/.f64 1 b))
(.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps a))))))))
(neg.f64 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 a))))))))
(*.f64 (+.f64 1/2 (/.f64 -1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a))))) (neg.f64 eps))
(*.f64 eps (-.f64 -1/2 (/.f64 -1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a))))))
(+.f64 (.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps a)))))))) (/.f64 1 b))
(fma.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 a))))))) (/.f64 1 b))
(-.f64 (/.f64 1 b) (*.f64 eps (+.f64 1/2 (/.f64 -1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))))
(fma.f64 eps (-.f64 -1/2 (/.f64 -1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a))))) (/.f64 1 b))
(+.f64 (.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps a)))))))) (/.f64 1 b))
(fma.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 a))))))) (/.f64 1 b))
(-.f64 (/.f64 1 b) (*.f64 eps (+.f64 1/2 (/.f64 -1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))))
(fma.f64 eps (-.f64 -1/2 (/.f64 -1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a))))) (/.f64 1 b))
(+.f64 (.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps a)))))))) (/.f64 1 b))
(fma.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 a))))))) (/.f64 1 b))
(-.f64 (/.f64 1 b) (*.f64 eps (+.f64 1/2 (/.f64 -1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))))
(fma.f64 eps (-.f64 -1/2 (/.f64 -1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a))))) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) a)) (/.f64 1 a)))
(fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 a -1/12)) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (fma.f64 (.f64 (.f64 (neg.f64 eps) eps) -1/12) a (/.f64 1 a)))
(+.f64 (/.f64 1 b) (fma.f64 a (.f64 (.f64 eps eps) 1/12) (/.f64 1 a)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/2 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))))) (.f64 1/12 (pow.f64 eps 3)))) (pow.f64 a 2))) (+.f64 (/.f64 1 b) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) a)) (/.f64 1 a))))
(fma.f64 -1 (.f64 (.f64 eps eps) (.f64 a -1/12)) (fma.f64 -1 (.f64 (pow.f64 eps 3) (fma.f64 1/12 (.f64 a a) (fma.f64 1/2 (.f64 a (.f64 a -1/12)) (.f64 (*.f64 a a) -1/24)))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (fma.f64 (neg.f64 (fma.f64 1/2 (.f64 (.f64 a a) -1/12) (.f64 a (.f64 a 1/24)))) (pow.f64 eps 3) (/.f64 1 b)) (fma.f64 (.f64 (.f64 (neg.f64 eps) eps) -1/12) a (/.f64 1 a)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 (.f64 eps eps) (-.f64 (.f64 a 1/12) (.f64 eps (.f64 a (+.f64 (.f64 a -1/24) (*.f64 a 1/24)))))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 1 a) (.f64 (.f64 eps eps) (+.f64 (.f64 a -1/12) (.f64 eps (.f64 a (+.f64 (.f64 a -1/24) (*.f64 a 1/24))))))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(/.f64 1 b)
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))))
(fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a))))))
(fma.f64 eps -1/2 (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))))
(fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a))))))
(fma.f64 eps -1/2 (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 eps (-.f64 1 (exp.f64 (*.f64 eps (neg.f64 a)))))) (/.f64 1 b))
(+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 eps (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 a)))))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps a))
✓	0.1b	(.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))
✓	17.0b	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
✓	32.5b	(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 73 to 13 computations (82.2% saved)

series22.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))
1.0ms	a	@	0	(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))
1.0ms	eps	@	inf	(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))
1.0ms	eps	@	0	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
1.0ms	eps	@	-inf	(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

907×	`prod-diff_binary64`
286×	`fma-def_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
238×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	300	60
2	4343	60

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs

(/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))

(/.f64 (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a))) (expm1.f64 (*.f64 eps b)))

(*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (/.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 1 (expm1.f64 (*.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (*.f64 eps (/.f64 1 (expm1.f64 (*.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (/.f64 1 (expm1.f64 (*.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))) 2) (cbrt.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))) 2) (*.f64 (cbrt.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))) (/.f64 1 (expm1.f64 (*.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))) (sqrt.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))) (*.f64 (sqrt.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))) (/.f64 1 (expm1.f64 (*.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (+.f64 a b))))) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 (*.f64 eps a))) (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps 1) (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 1) (/.f64 eps (expm1.f64 (*.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))) 2) 1) (/.f64 (cbrt.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))) 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simplify221.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

931×	`times-frac_binary64`
494×	`cancel-sign-sub-inv_binary64`
265×	`fma-def_binary64`
258×	`associate-r_binary64`
212×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	4379
1	1000	4315
2	3785	4205

Stop Event

1×	node limit

Counts

208 → 179

Calls

Call 1

Inputs
(/.f64 (*.f64 eps (+.f64 a b)) a)
(+.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b)))))
(+.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (+.f64 (.f64 1/6 (.f64 a (+.f64 a b))) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b))))))) (pow.f64 eps 3)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b))))))
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(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 eps b)) 1) a)
(-.f64 (+.f64 (.f64 eps (exp.f64 (.f64 eps b))) (/.f64 (exp.f64 (.f64 eps b)) a)) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1))) (/.f64 1 a)))
(-.f64 (+.f64 (.f64 a (-.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1)))))) (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))))) (+.f64 (.f64 eps (exp.f64 (.f64 eps b))) (/.f64 (exp.f64 (.f64 eps b)) a))) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1))) (/.f64 1 a)))
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(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (-.f64 (exp.f64 (.f64 eps a)) 1))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (-.f64 (exp.f64 (.f64 eps a)) 1))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (-.f64 (exp.f64 (.f64 eps a)) 1))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (-.f64 (exp.f64 (.f64 eps a)) 1))
eps
(+.f64 eps (/.f64 (.f64 (pow.f64 eps 2) (.f64 b (exp.f64 (.f64 eps a)))) (-.f64 (exp.f64 (.f64 eps a)) 1)))
(+.f64 eps (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a)))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (/.f64 (.f64 (pow.f64 eps 2) (.f64 b (exp.f64 (.f64 eps a)))) (-.f64 (exp.f64 (*.f64 eps a)) 1))))
(+.f64 eps (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a)))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (/.f64 (.f64 (pow.f64 eps 2) (.f64 b (exp.f64 (.f64 eps a)))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 b 3) (exp.f64 (.f64 eps a)))) (-.f64 (exp.f64 (.f64 eps a)) 1))))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (-.f64 (exp.f64 (.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (-.f64 (exp.f64 (.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (-.f64 (exp.f64 (.f64 eps a)) 1))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (-.f64 (exp.f64 (.f64 eps a)) 1))
(/.f64 (+.f64 a b) (*.f64 a b))
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(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
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(/.f64 1 a)
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(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
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(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
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(/.f64 1 b)
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(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(*.f64 (pow.f64 eps 2) (+.f64 a b))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 a b)) (.f64 1/2 (*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 2))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 a b)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 a b) 3))) (.f64 1/2 (*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 2)))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 a b)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 2))) (.f64 1/24 (*.f64 (pow.f64 eps 5) (pow.f64 (+.f64 a b) 4))))))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1))
(+.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 (pow.f64 eps 2) (.f64 a (exp.f64 (*.f64 eps b)))))
(+.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 a (exp.f64 (.f64 eps b)))) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 2) (exp.f64 (*.f64 eps b)))))))
(+.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 3) (exp.f64 (*.f64 eps b))))))))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (*.f64 -1 a)))) 1) eps)
(.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (*.f64 -1 a)))) 1) eps)
(.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (*.f64 -1 a)))) 1) eps)
(.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (*.f64 -1 a)))) 1) eps)
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) eps)
(+.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) eps) (.f64 (pow.f64 eps 2) (.f64 b (exp.f64 (*.f64 eps a)))))
(+.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (.f64 (pow.f64 eps 2) (.f64 b (exp.f64 (*.f64 eps a))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 b 3) (exp.f64 (.f64 eps a))))) (+.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) eps) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (.f64 (pow.f64 eps 2) (.f64 b (exp.f64 (*.f64 eps a)))))))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (*.f64 -1 b)) eps)) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (*.f64 -1 b)) eps)) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (*.f64 -1 b)) eps)) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (*.f64 -1 b)) eps)) 1))

Outputs
(/.f64 (*.f64 eps (+.f64 a b)) a)
(/.f64 eps (/.f64 a (+.f64 a b)))
(*.f64 (/.f64 eps a) (+.f64 a b))
(+.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b)))))
(+.f64 (/.f64 eps (/.f64 a (+.f64 a b))) (.f64 (.f64 eps eps) (*.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b)))))
(fma.f64 (.f64 eps eps) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (*.f64 (/.f64 eps a) (+.f64 a b)))
(+.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (+.f64 (.f64 1/6 (.f64 a (+.f64 a b))) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b))))))) (pow.f64 eps 3)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b))))))
(+.f64 (/.f64 eps (/.f64 a (+.f64 a b))) (fma.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (fma.f64 1/6 (.f64 a (+.f64 a b)) (.f64 (.f64 1/2 a) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b)))))) (pow.f64 eps 3) (.f64 (.f64 eps eps) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))))))
(+.f64 (.f64 (/.f64 eps a) (+.f64 a b)) (fma.f64 (.f64 eps eps) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (.f64 (+.f64 (.f64 1/6 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 3) a) (.f64 a (+.f64 a b)))) (.f64 -1/2 (.f64 (*.f64 a 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))))) (pow.f64 eps 3))))
(+.f64 (fma.f64 (.f64 eps eps) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (.f64 (/.f64 eps a) (+.f64 a b))) (.f64 (fma.f64 1/6 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 3) a) (.f64 a (+.f64 a b))) (.f64 (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (.f64 a -1/2))) (pow.f64 eps 3)))
(+.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) a)) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (+.f64 (.f64 1/6 (.f64 a (+.f64 a b))) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b))))))) a)) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 2) (+.f64 a b))) (.f64 1/6 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b)))))))) (pow.f64 eps 4)) (+.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (+.f64 (.f64 1/6 (.f64 a (+.f64 a b))) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b))))))) (pow.f64 eps 3)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (*.f64 1/2 (+.f64 a b)))))))
(fma.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) a)) (fma.f64 1/2 (.f64 a (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (fma.f64 1/6 (.f64 a (+.f64 a b)) (.f64 (.f64 1/2 a) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))))))) (fma.f64 1/24 (.f64 (+.f64 a b) (.f64 a a)) (.f64 1/6 (.f64 (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (.f64 a a)))))) (pow.f64 eps 4) (+.f64 (/.f64 eps (/.f64 a (+.f64 a b))) (fma.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (fma.f64 1/6 (.f64 a (+.f64 a b)) (.f64 (.f64 1/2 a) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b)))))) (pow.f64 eps 3) (.f64 (.f64 eps eps) (*.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b)))))))
(+.f64 (fma.f64 (.f64 eps eps) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (.f64 (+.f64 (.f64 1/6 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 3) a) (.f64 a (+.f64 a b)))) (.f64 -1/2 (.f64 (.f64 a 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))))) (pow.f64 eps 3))) (fma.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) a)) (fma.f64 1/2 (.f64 a (+.f64 (.f64 1/6 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 3) a) (.f64 a (+.f64 a b)))) (.f64 -1/2 (.f64 (.f64 a 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b)))))) (fma.f64 1/6 (.f64 (.f64 1/2 (.f64 a a)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (.f64 (+.f64 a b) (.f64 1/24 (.f64 a a)))))) (pow.f64 eps 4) (.f64 (/.f64 eps a) (+.f64 a b))))
(+.f64 (fma.f64 (.f64 eps eps) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (.f64 (fma.f64 1/6 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 3) a) (.f64 a (+.f64 a b))) (.f64 (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (.f64 a -1/2))) (pow.f64 eps 3))) (fma.f64 (-.f64 (/.f64 1/24 (/.f64 a (pow.f64 (+.f64 a b) 4))) (fma.f64 1/2 (.f64 a (fma.f64 1/6 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 3) a) (.f64 a (+.f64 a b))) (.f64 (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (.f64 a -1/2)))) (fma.f64 1/6 (.f64 1/2 (.f64 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b)) (.f64 a a))) (.f64 (+.f64 a b) (.f64 1/24 (.f64 a a)))))) (pow.f64 eps 4) (*.f64 (/.f64 eps a) (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (-.f64 (exp.f64 (*.f64 eps b)) 1) a)
(/.f64 (expm1.f64 (*.f64 eps b)) a)
(-.f64 (+.f64 (.f64 eps (exp.f64 (.f64 eps b))) (/.f64 (exp.f64 (.f64 eps b)) a)) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1))) (/.f64 1 a)))
(-.f64 (fma.f64 eps (pow.f64 (exp.f64 eps) b) (/.f64 (pow.f64 (exp.f64 eps) b) a)) (fma.f64 1/2 (.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 1 a)))
(fma.f64 eps (pow.f64 (exp.f64 eps) b) (-.f64 (/.f64 (expm1.f64 (.f64 eps b)) a) (.f64 eps (.f64 1/2 (expm1.f64 (.f64 eps b))))))
(fma.f64 eps (pow.f64 (exp.f64 eps) b) (+.f64 (/.f64 (expm1.f64 (.f64 eps b)) a) (.f64 (expm1.f64 (.f64 eps b)) (.f64 eps -1/2))))
(-.f64 (+.f64 (.f64 a (-.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1)))))) (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))))) (+.f64 (.f64 eps (exp.f64 (.f64 eps b))) (/.f64 (exp.f64 (.f64 eps b)) a))) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1))) (/.f64 1 a)))
(-.f64 (fma.f64 a (-.f64 (.f64 1/2 (.f64 (.f64 eps eps) (pow.f64 (exp.f64 eps) b))) (fma.f64 1/2 (.f64 eps (+.f64 (.f64 eps (pow.f64 (exp.f64 eps) b)) (.f64 -1/2 (.f64 eps (expm1.f64 (.f64 eps b)))))) (.f64 (.f64 (.f64 eps eps) 1/6) (expm1.f64 (.f64 eps b))))) (fma.f64 eps (pow.f64 (exp.f64 eps) b) (/.f64 (pow.f64 (exp.f64 eps) b) a))) (fma.f64 1/2 (.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 1 a)))
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(fma.f64 a (fma.f64 1/2 (-.f64 (.f64 (.f64 eps eps) (pow.f64 (exp.f64 eps) b)) (.f64 eps (fma.f64 eps (pow.f64 (exp.f64 eps) b) (.f64 (expm1.f64 (.f64 eps b)) (.f64 eps -1/2))))) (.f64 (expm1.f64 (.f64 eps b)) (.f64 (.f64 eps eps) -1/6))) (fma.f64 eps (pow.f64 (exp.f64 eps) b) (+.f64 (/.f64 (expm1.f64 (.f64 eps b)) a) (.f64 (expm1.f64 (.f64 eps b)) (.f64 eps -1/2)))))
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(fma.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 b 3))) (fma.f64 eps (expm1.f64 (.f64 eps a)) (fma.f64 (.f64 eps eps) (.f64 b (pow.f64 (exp.f64 eps) a)) (.f64 (.f64 (pow.f64 (exp.f64 eps) a) (.f64 b b)) (*.f64 1/2 (pow.f64 eps 3))))))
(fma.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 b 3))) (fma.f64 eps (expm1.f64 (.f64 eps a)) (fma.f64 (.f64 eps eps) (.f64 b (pow.f64 (exp.f64 eps) a)) (.f64 1/2 (.f64 (pow.f64 (exp.f64 eps) a) (.f64 (pow.f64 eps 3) (*.f64 b b)))))))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))
(.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (*.f64 -1 b)) eps)) 1))
(.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))
(.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (*.f64 -1 b)) eps)) 1))
(.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))
(.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (*.f64 -1 b)) eps)) 1))
(.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))
(.f64 eps (-.f64 (exp.f64 (.f64 (-.f64 a (*.f64 -1 b)) eps)) 1))
(.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))

eval248.0ms (1.2%)

Compiler: Compiled 16843 to 7332 computations (56.5% saved)

prune288.0ms (1.4%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	624	15	639
Fresh	7	1	8
Picked	1	0	1
Done	1	3	4
Total	633	19	652

Error

0.0b

Counts

652 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	36.8b	(*.f64 (/.f64 (sqrt.f64 (+.f64 b a)) b) (/.f64 (sqrt.f64 (+.f64 b a)) a))
✓	17.2b	(/.f64 (+.f64 b a) (*.f64 b a))
	8.2b	(*.f64 (/.f64 1 b) (/.f64 (+.f64 b a) a))
▶	33.2b	(/.f64 1 b)
	51.8b	(.f64 eps (/.f64 1 (.f64 eps a)))
▶	9.5b	(*.f64 (/.f64 (+.f64 b a) b) (/.f64 1 a))
	43.9b	(/.f64 eps (expm1.f64 (*.f64 eps b)))
▶	46.3b	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))
	22.2b	(+.f64 (/.f64 eps (.f64 eps a)) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
	34.5b	(/.f64 eps (/.f64 (*.f64 eps b) (/.f64 (+.f64 a b) a)))
	55.2b	(+.f64 (/.f64 eps (-.f64 1 (-.f64 1 (.f64 eps a)))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
	55.3b	(.f64 eps (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 3)))
▶	3.1b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	18.0b	(.f64 (/.f64 1 (.f64 b a)) (+.f64 b a))
✓	33.5b	(/.f64 1 a)
	51.7b	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
	41.6b	(.f64 eps (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b)))) 3))
✓	39.4b	(.f64 eps (/.f64 (+.f64 a b) (.f64 a (*.f64 b eps))))
▶	55.2b	(+.f64 (/.f64 eps (-.f64 1 (+.f64 1 (.f64 a (-.f64 (.f64 (.f64 eps 1/2) (.f64 eps a)) eps))))) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))

Compiler

Compiled 536 to 351 computations (34.5% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`pow1_binary64`
795×	`add-log-exp_binary64`
795×	`log1p-expm1-u_binary64`
795×	`expm1-log1p-u_binary64`
777×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	156	10
2	2316	10

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(+.f64 (/.f64 1 b) (/.f64 1 a))

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	114
1	10	114

Stop Event

1×

saturated

Counts

59 → 48

Calls

Call 1

Inputs
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))

Outputs
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))

localize4.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 b a) b)
✓	6.0b	(*.f64 (/.f64 (+.f64 b a) b) (/.f64 1 a))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(/.f64 (+.f64 b a) b)
0.0ms	b	@	0	(*.f64 (/.f64 (+.f64 b a) b) (/.f64 1 a))
0.0ms	b	@	0	(/.f64 (+.f64 b a) b)
0.0ms	b	@	-inf	(/.f64 (+.f64 b a) b)
0.0ms	a	@	-inf	(/.f64 (+.f64 b a) b)

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`prod-diff_binary64`
468×	`log-prod_binary64`
346×	`pow-prod-down_binary64`
233×	`pow2_binary64`
184×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	181	17
2	2746	17

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

Inputs
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 1 a))
(/.f64 (+.f64 b a) b)

Outputs

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

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	345
1	13	345

Stop Event

1×

saturated

Counts

158 → 117

Calls

Call 1

Inputs
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 a b)
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
1
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
1
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
1
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(/.f64 a b)
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(/.f64 a b)
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))

Outputs
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 a b)
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
1
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
1
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
1
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(/.f64 a b)
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(/.f64 a b)
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 a (-.f64 (.f64 (.f64 eps 1/2) (.f64 eps a)) eps))
✓	0.0b	(/.f64 eps (-.f64 1 (+.f64 1 (.f64 a (-.f64 (.f64 (.f64 eps 1/2) (.f64 eps a)) eps)))))
✓	0.1b	(.f64 (.f64 eps 1/2) (*.f64 eps a))
✓	2.0b	(-.f64 1 (+.f64 1 (.f64 a (-.f64 (.f64 (.f64 eps 1/2) (.f64 eps a)) eps))))

Compiler

Compiled 125 to 72 computations (42.4% saved)

series17.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite265.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log-prod_binary64`
641×	`fma-def_binary64`
290×	`fma-neg_binary64`
263×	`expm1-udef_binary64`
262×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	294	65
2	4195	65

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

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

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

903×	`distribute-neg-frac_binary64`
766×	`fma-def_binary64`
383×	`unswap-sqr_binary64`
319×	`associate-*l/_binary64`
316×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1682
1	181	1654
2	559	1582
3	2257	1540
4	7089	1540

Stop Event

1×	node limit

Counts

235 → 167

Calls

Call 1

Inputs
(*.f64 eps a)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(*.f64 eps a)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(/.f64 1 a)
(+.f64 (*.f64 1/2 eps) (/.f64 1 a))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 1/2 eps) (/.f64 1 a)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) a)) (+.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 a) (.f64 1/8 (*.f64 (pow.f64 eps 3) (pow.f64 a 2))))))
(/.f64 -2 (*.f64 eps (pow.f64 a 2)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))) (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3))))))))
(/.f64 -2 (*.f64 eps (pow.f64 a 2)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))) (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3))))))))
(/.f64 1 a)
(+.f64 (*.f64 1/2 eps) (/.f64 1 a))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 1/2 eps) (/.f64 1 a)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) a)) (+.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 a) (.f64 1/8 (*.f64 (pow.f64 eps 3) (pow.f64 a 2))))))
(/.f64 -2 (*.f64 eps (pow.f64 a 2)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))) (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3))))))))
(/.f64 -2 (*.f64 eps (pow.f64 a 2)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))) (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3))))))))
(.f64 -1 (.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(.f64 -1 (.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (.f64 -1 (.f64 eps a)))

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

localize191.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))
✓	7.3b	(.f64 (.f64 1/2 (*.f64 eps eps)) a)
✓	18.2b	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))
✓	32.3b	(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))))

Compiler

Compiled 116 to 38 computations (67.2% saved)

series53.0ms (0.3%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
25.0ms	eps	@	-inf	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))
3.0ms	a	@	inf	(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))))
3.0ms	b	@	0	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))
2.0ms	eps	@	0	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))
2.0ms	b	@	inf	(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))))

rewrite127.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`fma-def_binary64`
370×	`expm1-udef_binary64`
370×	`log1p-udef_binary64`
338×	`fma-neg_binary64`
211×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	78
1	409	74
2	6438	74

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs

(/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 a (+.f64 eps (*.f64 (*.f64 1/2 (*.f64 eps eps)) a))))

(/.f64 (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 a (+.f64 eps (*.f64 (*.f64 1/2 (*.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))

(*.f64 (*.f64 1/2 (*.f64 eps eps)) a)

Outputs

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(/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (*.f64 a (fma.f64 a (*.f64 eps (*.f64 eps 1/2)) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 1) (/.f64 eps (*.f64 a (fma.f64 a (*.f64 eps (*.f64 eps 1/2)) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (*.f64 a (fma.f64 a (*.f64 eps (*.f64 eps 1/2)) eps))) (expm1.f64 (*.f64 eps (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))) 2) 1) (/.f64 (cbrt.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))) (*.f64 a (fma.f64 a (*.f64 eps (*.f64 eps 1/2)) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))) 1) (/.f64 (sqrt.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))) (*.f64 a (fma.f64 a (*.f64 eps (*.f64 eps 1/2)) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 a 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))) (pow.f64 (cbrt.f64 (*.f64 a (fma.f64 a (*.f64 eps (*.f64 eps 1/2)) eps))) 2)) (/.f64 (sqrt.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))) (cbrt.f64 (*.f64 a (fma.f64 a (*.f64 eps (*.f64 eps 1/2)) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (sqrt.f64 (*.f64 a (fma.f64 a (*.f64 eps (*.f64 eps 1/2)) eps)))) (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (sqrt.f64 (*.f64 a (fma.f64 a (*.f64 eps (*.f64 eps 1/2)) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (sqrt.f64 (*.f64 a (fma.f64 a (*.f64 eps (*.f64 eps 1/2)) eps)))) (/.f64 eps (sqrt.f64 (*.f64 a (fma.f64 a (*.f64 eps (*.f64 eps 1/2)) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 a (fma.f64 a (*.f64 eps (*.f64 eps 1/2)) eps)))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (sqrt.f64 (*.f64 a 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simplify289.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

626×	`distribute-rgt-in_binary64`
378×	`cancel-sign-sub-inv_binary64`
282×	`associate-/r*_binary64`
237×	`fma-def_binary64`
212×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	5863
1	1149	5605
2	4561	5124

Stop Event

1×	node limit

Counts

211 → 193

Calls

Call 1

Inputs
(/.f64 (*.f64 eps (+.f64 a b)) a)
(+.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b)))))
(+.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b)))) (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b)))))))))
(+.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) a)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b))))))))) (pow.f64 eps 4)) (+.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b)))) (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (*.f64 1/2 (+.f64 a b))))))))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (*.f64 eps (pow.f64 a 2))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (pow.f64 a 2)))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (pow.f64 a 3)))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (*.f64 (pow.f64 eps 3) (pow.f64 a 4))))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (pow.f64 a 3)))) (+.f64 (.f64 -16 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (pow.f64 a 4)))))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (*.f64 eps (pow.f64 a 2))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (pow.f64 a 2)))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (pow.f64 a 3)))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (*.f64 (pow.f64 eps 3) (pow.f64 a 4))))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (pow.f64 a 3)))) (+.f64 (.f64 -16 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (pow.f64 a 4)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 eps b)) 1) a)
(-.f64 (+.f64 (.f64 eps (exp.f64 (.f64 eps b))) (/.f64 (exp.f64 (.f64 eps b)) a)) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1))) (/.f64 1 a)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b)))) (.f64 1/2 (.f64 eps (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1))))))) a) (+.f64 (.f64 eps (exp.f64 (.f64 eps b))) (/.f64 (exp.f64 (.f64 eps b)) a))) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))) (/.f64 1 a)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b)))) (.f64 1/2 (.f64 eps (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1))))))) a) (+.f64 (.f64 eps (exp.f64 (.f64 eps b))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps b)))) (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b)))) (.f64 1/2 (.f64 eps (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1))))))))))) (/.f64 (exp.f64 (.f64 eps b)) a)))) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))) (/.f64 1 a)))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (*.f64 eps (pow.f64 a 2))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (pow.f64 a 2)))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (pow.f64 a 3)))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (*.f64 (pow.f64 eps 3) (pow.f64 a 4))))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (pow.f64 a 2)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (pow.f64 a 3)))) (+.f64 (.f64 -16 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (pow.f64 a 4)))))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 eps (pow.f64 a 2))))
(+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (pow.f64 eps 2) (pow.f64 a 3)))) (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 eps (pow.f64 a 2)))))
(+.f64 (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (pow.f64 eps 2) (pow.f64 a 3)))) (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 eps (pow.f64 a 2))))))
(+.f64 (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (+.f64 (.f64 -16 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (pow.f64 eps 2) (pow.f64 a 3)))) (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 eps (pow.f64 a 2)))))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 (+.f64 eps (.f64 1/2 (*.f64 (pow.f64 eps 2) a))) a))
(+.f64 (/.f64 (.f64 (pow.f64 eps 2) (.f64 b (exp.f64 (.f64 eps a)))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)) (/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) eps) (.f64 (+.f64 eps (.f64 1/2 (*.f64 (pow.f64 eps 2) a))) a)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a)))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))) (+.f64 (/.f64 (.f64 (pow.f64 eps 2) (.f64 b (exp.f64 (.f64 eps a)))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)) (/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) eps) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a)))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))) (+.f64 (/.f64 (.f64 (pow.f64 eps 2) (.f64 b (exp.f64 (.f64 eps a)))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 b 3) (exp.f64 (.f64 eps a)))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))) (/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) eps) (.f64 (+.f64 eps (.f64 1/2 (*.f64 (pow.f64 eps 2) a))) a)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (+.f64 eps (.f64 1/2 (*.f64 (pow.f64 eps 2) a))) a))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (+.f64 eps (.f64 1/2 (*.f64 (pow.f64 eps 2) a))) a))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (+.f64 eps (.f64 1/2 (*.f64 (pow.f64 eps 2) a))) a))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (+.f64 eps (.f64 1/2 (*.f64 (pow.f64 eps 2) a))) a))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 a 2) (pow.f64 b 3))) (.f64 1/24 (.f64 a (pow.f64 b 4)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (.f64 a b)) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b))))) (.f64 a b)))))) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (*.f64 a b))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (*.f64 eps b)) 1)))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1))))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 4) (-.f64 (exp.f64 (*.f64 eps b)) 1)))))))
(+.f64 (.f64 -16 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 5) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 4) (-.f64 (exp.f64 (.f64 eps b)) 1))))))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (*.f64 eps b)) 1)))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1))))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 4) (-.f64 (exp.f64 (*.f64 eps b)) 1)))))))
(+.f64 (.f64 -16 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 5) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 4) (-.f64 (exp.f64 (.f64 eps b)) 1))))))))
(/.f64 1 a)
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 a)) (.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (+.f64 (/.f64 1 a) (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps))))) a))) (*.f64 1/2 eps))
(-.f64 (+.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps))))) eps)))) (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (+.f64 (/.f64 1 a) (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps))))) a)))) (.f64 1/2 eps))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (*.f64 eps b)) 1)))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1))))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 4) (-.f64 (exp.f64 (*.f64 eps b)) 1)))))))
(+.f64 (.f64 -16 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 5) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 4) (-.f64 (exp.f64 (.f64 eps b)) 1))))))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))))
(+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1))))))
(+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (+.f64 (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 4) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))))))
(+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (+.f64 (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 4) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (+.f64 (.f64 -16 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 5) (-.f64 (exp.f64 (.f64 eps b)) 1))))) (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1))))))))
(/.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (*.f64 a b)))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a b))) (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))) (+.f64 (/.f64 1 (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a b))) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) eps) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (pow.f64 eps 2)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)) (.f64 1/2 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)))))))) b) (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a b))) (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)))) (+.f64 (/.f64 1 (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a b))) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) eps) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps a))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)) (.f64 1/2 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)))))) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))) (.f64 1/2 (.f64 (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) eps) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)))) eps)))))) (.f64 1/24 (/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (pow.f64 eps 3)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)))))) (pow.f64 b 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (pow.f64 eps 2)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)) (.f64 1/2 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a)))))))) b) (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a b))) (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) a))))) (+.f64 (/.f64 1 (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a b))) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) eps) (.f64 (+.f64 eps (.f64 1/2 (*.f64 (pow.f64 eps 2) a))) a)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (.f64 eps b)) 1))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (.f64 eps b)) 1))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (.f64 eps b)) 1))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (.f64 eps b)) 1))))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))

Outputs
(/.f64 (*.f64 eps (+.f64 a b)) a)
(/.f64 eps (/.f64 a (+.f64 a b)))
(*.f64 (/.f64 eps a) (+.f64 a b))
(+.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b)))))
(+.f64 (/.f64 eps (/.f64 a (+.f64 a b))) (.f64 (.f64 eps eps) (*.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b)))))
(fma.f64 (.f64 eps eps) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (*.f64 (/.f64 eps a) (+.f64 a b)))
(+.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b)))) (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b)))))))))
(+.f64 (/.f64 eps (/.f64 a (+.f64 a b))) (fma.f64 (.f64 eps eps) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (.f64 (.f64 1/2 a) (*.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))))))))
(+.f64 (.f64 (/.f64 eps a) (+.f64 a b)) (fma.f64 (.f64 eps eps) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a) (.f64 (.f64 (*.f64 a 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) -1/2)))))
(+.f64 (.f64 (/.f64 eps a) (+.f64 a b)) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a) (.f64 1/2 (.f64 (.f64 a -1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b)))))) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))))))
(+.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) a)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b))))))))) (pow.f64 eps 4)) (+.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 1/2 (+.f64 a b)))) (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) a)) (*.f64 1/2 (+.f64 a b))))))))))
(fma.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) a)) (.f64 -1/2 (.f64 a (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (.f64 (.f64 1/2 a) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b)))))))) (pow.f64 eps 4) (+.f64 (/.f64 eps (/.f64 a (+.f64 a b))) (fma.f64 (.f64 eps eps) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a)) (.f64 (.f64 1/2 a) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b)))))))))
(+.f64 (fma.f64 (.f64 eps eps) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) (.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a) (.f64 (.f64 (.f64 a 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) -1/2)))) (fma.f64 (fma.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) a) (.f64 (.f64 -1/2 a) (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a) (.f64 (.f64 (.f64 a 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))) -1/2)))) (pow.f64 eps 4) (.f64 (/.f64 eps a) (+.f64 a b))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a) (.f64 1/2 (.f64 (.f64 a -1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b)))))) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))))) (fma.f64 (fma.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) a) (.f64 (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) a) (.f64 1/2 (.f64 (.f64 a -1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) a) (+.f64 a b))))) (.f64 a -1/2))) (pow.f64 eps 4) (*.f64 (/.f64 eps a) (+.f64 a b))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (*.f64 eps (pow.f64 a 2))))
(/.f64 (.f64 2 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 eps (.f64 a a)))
(.f64 2 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 eps (.f64 a a))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 eps (pow.f64 a 2)))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 eps (.f64 a a))) (.f64 -4 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (*.f64 eps eps) (pow.f64 a 3)))))
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(fma.f64 (.f64 b b) (+.f64 (fma.f64 1/6 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 a) eps) a) (/.f64 (pow.f64 eps 3) (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) a) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) a) 1/2))))) (.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) a) (/.f64 (pow.f64 eps 3) (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps))) -1/24)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 (/.f64 (.f64 eps eps) (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps)) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 a) eps) a) 1/2) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) a) 1/6))) (.f64 eps (.f64 (.f64 (/.f64 eps (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) a) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) a) 1/2))) -1/2)))))) (fma.f64 b (+.f64 (.f64 (/.f64 (.f64 eps eps) (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps)) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 a) eps) a) 1/2) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) a) 1/6))) (.f64 eps (.f64 (.f64 (/.f64 eps (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) a) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) a) 1/2))) -1/2))) (+.f64 (+.f64 (.f64 (/.f64 eps (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps)) (/.f64 (pow.f64 (exp.f64 a) eps) a)) (/.f64 (expm1.f64 (.f64 eps a)) (.f64 a (.f64 b (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps))))) (.f64 (.f64 (/.f64 eps (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps)) (/.f64 (expm1.f64 (*.f64 eps a)) a)) -1/2))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))
(.f64 (/.f64 eps (+.f64 eps (.f64 1/2 (.f64 a (.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (expm1.f64 (*.f64 eps b)))))
(.f64 (/.f64 eps (.f64 a (.f64 (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps) (expm1.f64 (.f64 eps b))))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))
(.f64 (/.f64 eps (+.f64 eps (.f64 1/2 (.f64 a (.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (expm1.f64 (*.f64 eps b)))))
(.f64 (/.f64 eps (.f64 a (.f64 (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps) (expm1.f64 (.f64 eps b))))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))
(.f64 (/.f64 eps (+.f64 eps (.f64 1/2 (.f64 a (.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (expm1.f64 (*.f64 eps b)))))
(.f64 (/.f64 eps (.f64 a (.f64 (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps) (expm1.f64 (.f64 eps b))))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))
(.f64 (/.f64 eps (+.f64 eps (.f64 1/2 (.f64 a (.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (expm1.f64 (*.f64 eps b)))))
(.f64 (/.f64 eps (.f64 a (.f64 (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps) (expm1.f64 (.f64 eps b))))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (.f64 eps b)) 1))))
(.f64 (/.f64 eps (+.f64 eps (.f64 1/2 (.f64 a (.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (expm1.f64 (*.f64 eps b)))))
(.f64 (/.f64 eps (.f64 a (.f64 (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps) (expm1.f64 (.f64 eps b))))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (.f64 eps b)) 1))))
(.f64 (/.f64 eps (+.f64 eps (.f64 1/2 (.f64 a (.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (expm1.f64 (*.f64 eps b)))))
(.f64 (/.f64 eps (.f64 a (.f64 (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps) (expm1.f64 (.f64 eps b))))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (.f64 eps b)) 1))))
(.f64 (/.f64 eps (+.f64 eps (.f64 1/2 (.f64 a (.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (expm1.f64 (*.f64 eps b)))))
(.f64 (/.f64 eps (.f64 a (.f64 (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps) (expm1.f64 (.f64 eps b))))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)) (.f64 (+.f64 eps (.f64 1/2 (.f64 (pow.f64 eps 2) a))) (.f64 a (-.f64 (exp.f64 (.f64 eps b)) 1))))
(.f64 (/.f64 eps (+.f64 eps (.f64 1/2 (.f64 a (.f64 eps eps))))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (expm1.f64 (*.f64 eps b)))))
(.f64 (/.f64 eps (.f64 a (.f64 (fma.f64 1/2 (.f64 eps (.f64 eps a)) eps) (expm1.f64 (.f64 eps b))))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 a (.f64 (*.f64 eps eps) 1/2))

eval253.0ms (1.2%)

Compiler: Compiled 17924 to 8903 computations (50.3% saved)

prune126.0ms (0.6%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	560	8	568
Fresh	4	7	11
Picked	1	0	1
Done	3	4	7
Total	568	19	587

Error

Counts

587 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	55.2b	(+.f64 (/.f64 eps (-.f64 1 (-.f64 1 (.f64 eps a)))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
▶	8.2b	(/.f64 (/.f64 (+.f64 b a) a) b)
▶	2.8b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
	55.3b	(.f64 eps (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 3)))
	54.3b	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps b))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))
✓	17.2b	(/.f64 (+.f64 b a) (*.f64 b a))
	36.8b	(*.f64 (/.f64 (sqrt.f64 (+.f64 b a)) b) (/.f64 (sqrt.f64 (+.f64 b a)) a))
	8.2b	(*.f64 (/.f64 1 b) (/.f64 (+.f64 b a) a))
✓	33.2b	(/.f64 1 b)
✓	33.5b	(/.f64 1 a)
▶	17.0b	(/.f64 1 (/.f64 (*.f64 b a) (+.f64 b a)))
	4.2b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) 3)
	51.7b	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
	45.6b	(+.f64 (/.f64 -2 (.f64 eps (.f64 a a))) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
✓	3.1b	(+.f64 (/.f64 1 b) (/.f64 1 a))
▶	43.9b	(/.f64 eps (expm1.f64 (*.f64 eps b)))
	62.4b	(/.f64 (.f64 2 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 eps (.f64 a a)))) (expm1.f64 (*.f64 eps b)))
▶	41.6b	(.f64 eps (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b)))) 3))
	9.4b	(/.f64 (/.f64 (+.f64 b a) b) a)

Compiler

Compiled 516 to 338 computations (34.5% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
0.0ms	eps	@	0	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
0.0ms	a	@	inf	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
0.0ms	a	@	-inf	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
0.0ms	b	@	0	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`log-prod_binary64`
517×	`fma-def_binary64`
315×	`pow2_binary64`
252×	`fma-neg_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	244	14
2	3517	14

Stop Event

1×	node limit

Counts

1 → 91

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`fma-def_binary64`
5×	`+-commutative_binary64`
2×	`associate-+r+_binary64`
2×	`associate-+l+_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	436
1	28	436
2	33	436

Stop Event

1×

saturated

Counts

127 → 103

Calls

Call 1

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

Outputs
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 b a) a)
✓	4.8b	(/.f64 (/.f64 (+.f64 b a) a) b)

Compiler

Compiled 20 to 6 computations (70% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/.f64 (/.f64 (+.f64 b a) a) b)
0.0ms	b	@	0	(/.f64 (+.f64 b a) a)
0.0ms	a	@	-inf	(/.f64 (+.f64 b a) a)
0.0ms	a	@	0	(/.f64 (+.f64 b a) a)
0.0ms	b	@	inf	(/.f64 (+.f64 b a) a)

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`pow1_binary64`
888×	`add-log-exp_binary64`
888×	`log1p-expm1-u_binary64`
888×	`expm1-log1p-u_binary64`
77×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	142	17
2	2313	17

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 b a) a) b)
(/.f64 (+.f64 b a) a)

Outputs

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

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	345
1	13	345

Stop Event

1×

saturated

Counts

119 → 79

Calls

Call 1

Inputs
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)

Outputs
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
1
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
1
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
1
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))
(+.f64 (/.f64 b a) 1)
(+.f64 1 (/.f64 b a))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 (*.f64 b a) (+.f64 b a)))
✓	15.7b	(/.f64 (*.f64 b a) (+.f64 b a))

Compiler

Compiled 28 to 9 computations (67.9% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(/.f64 (*.f64 b a) (+.f64 b a))
1.0ms	b	@	0	(/.f64 (*.f64 b a) (+.f64 b a))
1.0ms	b	@	-inf	(/.f64 (*.f64 b a) (+.f64 b a))
1.0ms	a	@	-inf	(/.f64 (*.f64 b a) (+.f64 b a))
1.0ms	a	@	0	(/.f64 (*.f64 b a) (+.f64 b a))

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`prod-diff_binary64`
475×	`log-prod_binary64`
314×	`pow-prod-down_binary64`
229×	`pow2_binary64`
195×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	177	20
2	2639	20

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

Inputs
(/.f64 (*.f64 b a) (+.f64 b a))
(/.f64 1 (/.f64 (*.f64 b a) (+.f64 b a)))

Outputs

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

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

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

551×	`fma-def_binary64`
508×	`associate-/r*_binary64`
406×	`associate-r_binary64`
396×	`associate-*l/_binary64`
376×	`difference-of-squares_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	636
1	105	606
2	292	570
3	1215	546
4	6947	546

Stop Event

1×	node limit

Counts

177 → 147

Calls

Call 1

Inputs
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) b)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) b))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) (+.f64 b (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
a
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) a)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (/.f64 (pow.f64 a 3) (pow.f64 b 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 2)) (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 3))))))
a
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) a)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (/.f64 (pow.f64 a 3) (pow.f64 b 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 2)) (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 3))))))
a
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) a)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (/.f64 (pow.f64 a 3) (pow.f64 b 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 2)) (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 3))))))
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) b)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) b))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) (+.f64 b (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) b)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) b))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) (+.f64 b (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))

Outputs
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) b)
(fma.f64 -1 (/.f64 (*.f64 b b) a) b)
(-.f64 b (/.f64 (*.f64 b b) a))
(-.f64 b (*.f64 (/.f64 b a) b))
(-.f64 b (*.f64 b (/.f64 b a)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) b))
(fma.f64 -1 (/.f64 (.f64 b b) a) (+.f64 b (/.f64 (pow.f64 b 3) (.f64 a a))))
(+.f64 (-.f64 b (/.f64 (.f64 b b) a)) (/.f64 (pow.f64 b 3) (.f64 a a)))
(+.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))))
(fma.f64 (*.f64 b (/.f64 b a)) (+.f64 -1 (/.f64 b a)) b)
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) (+.f64 b (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
(fma.f64 -1 (/.f64 (.f64 b b) a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) (+.f64 b (neg.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
(-.f64 (+.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) (-.f64 b (/.f64 (pow.f64 b 4) (pow.f64 a 3)))) (/.f64 (.f64 b b) a))
(+.f64 b (-.f64 (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))) (/.f64 (pow.f64 b 4) (pow.f64 a 3))))
(-.f64 (fma.f64 (*.f64 b (/.f64 b a)) (+.f64 -1 (/.f64 b a)) b) (/.f64 (pow.f64 b 4) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b (/.f64 b a)) (+.f64 -1 (/.f64 b a)) b) (.f64 (pow.f64 (/.f64 b a) 3) b))
a
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) a)
(fma.f64 -1 (/.f64 (*.f64 a a) b) a)
(-.f64 a (/.f64 a (/.f64 b a)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (/.f64 (pow.f64 a 3) (pow.f64 b 2))))
(fma.f64 -1 (/.f64 (.f64 a a) b) (+.f64 a (/.f64 (pow.f64 a 3) (.f64 b b))))
(+.f64 (-.f64 a (/.f64 a (/.f64 b a))) (/.f64 (pow.f64 a 3) (*.f64 b b)))
(+.f64 a (*.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b))))
(fma.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b)) a)
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 2)) (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 3))))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 a a) b) a) (+.f64 (/.f64 (pow.f64 a 3) (.f64 b b)) (neg.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)))))
(+.f64 (-.f64 a (/.f64 a (/.f64 b a))) (-.f64 (/.f64 (pow.f64 a 3) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 3))))
(+.f64 a (-.f64 (*.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 3))))
(fma.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b)) (-.f64 a (/.f64 (pow.f64 a 4) (pow.f64 b 3))))
(fma.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b)) (-.f64 a (*.f64 (pow.f64 (/.f64 a b) 3) a)))
a
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) a)
(fma.f64 -1 (/.f64 (*.f64 a a) b) a)
(-.f64 a (/.f64 a (/.f64 b a)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (/.f64 (pow.f64 a 3) (pow.f64 b 2))))
(fma.f64 -1 (/.f64 (.f64 a a) b) (+.f64 a (/.f64 (pow.f64 a 3) (.f64 b b))))
(+.f64 (-.f64 a (/.f64 a (/.f64 b a))) (/.f64 (pow.f64 a 3) (*.f64 b b)))
(+.f64 a (*.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b))))
(fma.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b)) a)
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 2)) (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 3))))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 a a) b) a) (+.f64 (/.f64 (pow.f64 a 3) (.f64 b b)) (neg.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)))))
(+.f64 (-.f64 a (/.f64 a (/.f64 b a))) (-.f64 (/.f64 (pow.f64 a 3) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 3))))
(+.f64 a (-.f64 (*.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 3))))
(fma.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b)) (-.f64 a (/.f64 (pow.f64 a 4) (pow.f64 b 3))))
(fma.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b)) (-.f64 a (*.f64 (pow.f64 (/.f64 a b) 3) a)))
a
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) a)
(fma.f64 -1 (/.f64 (*.f64 a a) b) a)
(-.f64 a (/.f64 a (/.f64 b a)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (/.f64 (pow.f64 a 3) (pow.f64 b 2))))
(fma.f64 -1 (/.f64 (.f64 a a) b) (+.f64 a (/.f64 (pow.f64 a 3) (.f64 b b))))
(+.f64 (-.f64 a (/.f64 a (/.f64 b a))) (/.f64 (pow.f64 a 3) (*.f64 b b)))
(+.f64 a (*.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b))))
(fma.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b)) a)
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 2)) (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 3))))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 a a) b) a) (+.f64 (/.f64 (pow.f64 a 3) (.f64 b b)) (neg.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)))))
(+.f64 (-.f64 a (/.f64 a (/.f64 b a))) (-.f64 (/.f64 (pow.f64 a 3) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 3))))
(+.f64 a (-.f64 (*.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 3))))
(fma.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b)) (-.f64 a (/.f64 (pow.f64 a 4) (pow.f64 b 3))))
(fma.f64 (/.f64 a (/.f64 b a)) (+.f64 -1 (/.f64 a b)) (-.f64 a (*.f64 (pow.f64 (/.f64 a b) 3) a)))
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) b)
(fma.f64 -1 (/.f64 (*.f64 b b) a) b)
(-.f64 b (/.f64 (*.f64 b b) a))
(-.f64 b (*.f64 (/.f64 b a) b))
(-.f64 b (*.f64 b (/.f64 b a)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) b))
(fma.f64 -1 (/.f64 (.f64 b b) a) (+.f64 b (/.f64 (pow.f64 b 3) (.f64 a a))))
(+.f64 (-.f64 b (/.f64 (.f64 b b) a)) (/.f64 (pow.f64 b 3) (.f64 a a)))
(+.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))))
(fma.f64 (*.f64 b (/.f64 b a)) (+.f64 -1 (/.f64 b a)) b)
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) (+.f64 b (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
(fma.f64 -1 (/.f64 (.f64 b b) a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) (+.f64 b (neg.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
(-.f64 (+.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) (-.f64 b (/.f64 (pow.f64 b 4) (pow.f64 a 3)))) (/.f64 (.f64 b b) a))
(+.f64 b (-.f64 (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))) (/.f64 (pow.f64 b 4) (pow.f64 a 3))))
(-.f64 (fma.f64 (*.f64 b (/.f64 b a)) (+.f64 -1 (/.f64 b a)) b) (/.f64 (pow.f64 b 4) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b (/.f64 b a)) (+.f64 -1 (/.f64 b a)) b) (.f64 (pow.f64 (/.f64 b a) 3) b))
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) b)
(fma.f64 -1 (/.f64 (*.f64 b b) a) b)
(-.f64 b (/.f64 (*.f64 b b) a))
(-.f64 b (*.f64 (/.f64 b a) b))
(-.f64 b (*.f64 b (/.f64 b a)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) b))
(fma.f64 -1 (/.f64 (.f64 b b) a) (+.f64 b (/.f64 (pow.f64 b 3) (.f64 a a))))
(+.f64 (-.f64 b (/.f64 (.f64 b b) a)) (/.f64 (pow.f64 b 3) (.f64 a a)))
(+.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))))
(fma.f64 (*.f64 b (/.f64 b a)) (+.f64 -1 (/.f64 b a)) b)
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) (+.f64 b (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
(fma.f64 -1 (/.f64 (.f64 b b) a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) (+.f64 b (neg.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
(-.f64 (+.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) (-.f64 b (/.f64 (pow.f64 b 4) (pow.f64 a 3)))) (/.f64 (.f64 b b) a))
(+.f64 b (-.f64 (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))) (/.f64 (pow.f64 b 4) (pow.f64 a 3))))
(-.f64 (fma.f64 (*.f64 b (/.f64 b a)) (+.f64 -1 (/.f64 b a)) b) (/.f64 (pow.f64 b 4) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b (/.f64 b a)) (+.f64 -1 (/.f64 b a)) b) (.f64 (pow.f64 (/.f64 b a) 3) b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps b))
✓	16.9b	(/.f64 eps (expm1.f64 (*.f64 eps b)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	-inf	(/.f64 eps (expm1.f64 (*.f64 eps b)))
1.0ms	eps	@	inf	(/.f64 eps (expm1.f64 (*.f64 eps b)))
1.0ms	eps	@	0	(/.f64 eps (expm1.f64 (*.f64 eps b)))
1.0ms	b	@	-inf	(/.f64 eps (expm1.f64 (*.f64 eps b)))
1.0ms	b	@	inf	(/.f64 eps (expm1.f64 (*.f64 eps b)))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`pow1_binary64`
589×	`add-log-exp_binary64`
589×	`log1p-expm1-u_binary64`
589×	`expm1-log1p-u_binary64`
575×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	122	15
2	1577	15

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(/.f64 eps (expm1.f64 (*.f64 eps b)))
(expm1.f64 (*.f64 eps b))

Outputs

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

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

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

755×	`distribute-rgt-in_binary64`
597×	`associate-l_binary64`
573×	`fma-def_binary64`
509×	`associate-r_binary64`
472×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	536
1	239	532
2	932	518
3	4977	518

Stop Event

1×	node limit

Counts

96 → 68

Calls

Call 1

Inputs
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (*.f64 -1/4 b)))) (/.f64 1 b)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/24 (pow.f64 b 2)) (+.f64 (.f64 -1/2 (.f64 b (+.f64 (.f64 1/6 b) (.f64 -1/4 b)))) (.f64 -1/12 (pow.f64 b 2)))))) (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (*.f64 -1/4 b)))) (/.f64 1 b))))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (*.f64 -1/4 (pow.f64 eps 2))) b)) (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) b)) (+.f64 (/.f64 1 b) (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 eps 2)) (*.f64 -1/4 (pow.f64 eps 2))))))))))))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(*.f64 eps b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(*.f64 eps b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)

Outputs
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (*.f64 -1/4 b)))) (/.f64 1 b)))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 b) (.f64 b (.f64 eps (*.f64 eps -1/12)))))
(fma.f64 b (.f64 (.f64 eps eps) 1/12) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/24 (pow.f64 b 2)) (+.f64 (.f64 -1/2 (.f64 b (+.f64 (.f64 1/6 b) (.f64 -1/4 b)))) (.f64 -1/12 (pow.f64 b 2)))))) (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (*.f64 -1/4 b)))) (/.f64 1 b))))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 b) (.f64 b (.f64 eps (*.f64 eps -1/12)))))
(fma.f64 b (.f64 (.f64 eps eps) 1/12) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (*.f64 -1/4 (pow.f64 eps 2))) b)) (/.f64 1 b)))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 b) (.f64 b (.f64 eps (*.f64 eps -1/12)))))
(fma.f64 b (.f64 (.f64 eps eps) 1/12) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) b)) (+.f64 (/.f64 1 b) (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 eps 2)) (*.f64 -1/4 (pow.f64 eps 2))))))))))))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 b) (.f64 b (.f64 eps (*.f64 eps -1/12)))))
(fma.f64 b (.f64 (.f64 eps eps) 1/12) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(*.f64 eps b)
(*.f64 b eps)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (.f64 b eps))
(fma.f64 b eps (.f64 (.f64 b b) (.f64 (.f64 1/2 eps) eps)))
(.f64 b (+.f64 eps (.f64 (.f64 eps eps) (.f64 1/2 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (fma.f64 eps b (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 b eps (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(fma.f64 b eps (.f64 (.f64 b b) (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b (.f64 1/6 (pow.f64 eps 3))))))
(fma.f64 (pow.f64 b 3) (.f64 1/6 (pow.f64 eps 3)) (.f64 b (+.f64 eps (.f64 (.f64 eps eps) (*.f64 1/2 b)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 eps b (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 b eps (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 b eps (.f64 (.f64 b b) (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b (*.f64 1/6 (pow.f64 eps 3)))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 (pow.f64 b 3) (.f64 1/6 (pow.f64 eps 3)) (.f64 b (+.f64 eps (.f64 (.f64 eps eps) (.f64 1/2 b))))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(*.f64 eps b)
(*.f64 b eps)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (.f64 b eps))
(fma.f64 b eps (.f64 (.f64 b b) (.f64 (.f64 1/2 eps) eps)))
(.f64 b (+.f64 eps (.f64 (.f64 eps eps) (.f64 1/2 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (fma.f64 eps b (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 b eps (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(fma.f64 b eps (.f64 (.f64 b b) (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b (.f64 1/6 (pow.f64 eps 3))))))
(fma.f64 (pow.f64 b 3) (.f64 1/6 (pow.f64 eps 3)) (.f64 b (+.f64 eps (.f64 (.f64 eps eps) (*.f64 1/2 b)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 eps b (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 b eps (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 b eps (.f64 (.f64 b b) (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b (*.f64 1/6 (pow.f64 eps 3)))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 (pow.f64 b 3) (.f64 1/6 (pow.f64 eps 3)) (.f64 b (+.f64 eps (.f64 (.f64 eps eps) (.f64 1/2 b))))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.7b	(.f64 eps (.f64 a b))
✓	5.5b	(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
✓	30.2b	(.f64 eps (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b)))) 3))
✓	31.1b	(cbrt.f64 (/.f64 (+.f64 a b) (.f64 eps (.f64 a b))))

Compiler

Compiled 63 to 14 computations (77.8% saved)

series53.0ms (0.3%)

Counts

4 → 76

Calls

36 calls:

Time	Variable		Point	Expression
18.0ms	eps	@	-inf	(.f64 eps (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b)))) 3))
5.0ms	b	@	-inf	(cbrt.f64 (/.f64 (+.f64 a b) (.f64 eps (.f64 a b))))
5.0ms	a	@	-inf	(cbrt.f64 (/.f64 (+.f64 a b) (.f64 eps (.f64 a b))))
3.0ms	a	@	-inf	(.f64 eps (.f64 a b))
3.0ms	a	@	inf	(cbrt.f64 (/.f64 (+.f64 a b) (.f64 eps (.f64 a b))))

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`log-prod_binary64`
601×	`prod-diff_binary64`
314×	`pow2_binary64`
268×	`fma-def_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	266	51
2	3499	51

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 (+.f64 a b) (.f64 eps (.f64 a b))))
(.f64 eps (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b)))) 3))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(.f64 eps (.f64 a b))

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

simplify140.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

825×	`times-frac_binary64`
554×	`fma-def_binary64`
501×	`unswap-sqr_binary64`
424×	`associate-/r*_binary64`
414×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1998
1	460	1868
2	1539	1826
3	5901	1826
4	6755	1826
5	7796	1826

Stop Event

1×	node limit

Counts

208 → 175

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 (*.f64 eps b)) 1/3)
(+.f64 (pow.f64 (/.f64 1 (.f64 eps b)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 b 2)) (pow.f64 eps 7)) 1/9) (/.f64 1 a))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 b 7)) (pow.f64 eps 11)) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (pow.f64 (/.f64 1 (.f64 eps b)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 eps 7)) 1/9) (/.f64 1 a)))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (.f64 1 (pow.f64 b 2))) 1/3) (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 b 2)) (pow.f64 eps 7)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 eps 7)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (pow.f64 a 3)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 b 7)) (pow.f64 eps 11)) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (pow.f64 (/.f64 1 (.f64 eps b)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 eps 7)) 1/9) (/.f64 1 a))))))
(.f64 (pow.f64 (/.f64 1 (.f64 eps b)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 eps b)) 1/3) (pow.f64 (cbrt.f64 -1) 2)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 b 2)) (pow.f64 eps 7)) 1/9) (.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 -1) 1/3)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 b 7)) (pow.f64 eps 11)) 1/9) (.f64 (/.f64 1 (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 eps b)) 1/3) (pow.f64 (cbrt.f64 -1) 2)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 b 2)) (pow.f64 eps 7)) 1/9) (.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 -1) 1/3))))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 b 7)) (pow.f64 eps 11)) 1/9) (.f64 (/.f64 1 (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (.f64 1 (pow.f64 b 2))) 1/3) (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 eps 7)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 b 2)) (pow.f64 eps 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (pow.f64 a 3) (cbrt.f64 -1))))) (+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 eps b)) 1/3) (pow.f64 (cbrt.f64 -1) 2)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 b 2)) (pow.f64 eps 7)) 1/9) (*.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 -1) 1/3)))))))
(pow.f64 (/.f64 1 (*.f64 eps a)) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 eps 7)) 1/9) (/.f64 1 b))) (pow.f64 (/.f64 1 (.f64 eps a)) 1/3))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 7)) (pow.f64 eps 11)) 1/9) (/.f64 1 (pow.f64 b 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 eps 7)) 1/9) (/.f64 1 b))) (pow.f64 (/.f64 1 (*.f64 eps a)) 1/3)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 7)) (pow.f64 eps 11)) 1/9) (/.f64 1 (pow.f64 b 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 eps 7)) 1/9) (/.f64 1 b))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (.f64 1 (pow.f64 a 2))) 1/3) (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 eps 7)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 a 2) (pow.f64 eps 7)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (pow.f64 b 3)))) (pow.f64 (/.f64 1 (*.f64 eps a)) 1/3))))
(.f64 (pow.f64 (/.f64 1 (.f64 eps a)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 a 2)) (pow.f64 eps 7)) 1/9) (.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 b)))) (.f64 (pow.f64 (/.f64 1 (.f64 eps a)) 1/3) (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 a 7)) (pow.f64 eps 11)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 b 2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 a 2)) (pow.f64 eps 7)) 1/9) (.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 b)))) (.f64 (pow.f64 (/.f64 1 (.f64 eps a)) 1/3) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 a 2) (pow.f64 eps 7)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 eps 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (cbrt.f64 -1) (pow.f64 b 3))) (pow.f64 (.f64 (pow.f64 eps 2) (.f64 1 (pow.f64 a 2))) 1/3))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 a 7)) (pow.f64 eps 11)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 b 2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 a 2)) (pow.f64 eps 7)) 1/9) (.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 b)))) (.f64 (pow.f64 (/.f64 1 (*.f64 eps a)) 1/3) (pow.f64 (cbrt.f64 -1) 2)))))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 (*.f64 eps a))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(/.f64 1 (*.f64 eps b))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(/.f64 1 (*.f64 eps b))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(/.f64 1 (*.f64 eps b))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(/.f64 1 (*.f64 eps a))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(/.f64 1 (*.f64 eps a))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))

Outputs
(pow.f64 (/.f64 1 (*.f64 eps b)) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 eps b)))
(cbrt.f64 (/.f64 (/.f64 1 b) eps))
(cbrt.f64 (/.f64 (/.f64 1 eps) b))
(+.f64 (pow.f64 (/.f64 1 (.f64 eps b)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 b 2)) (pow.f64 eps 7)) 1/9) (/.f64 1 a))))
(+.f64 (cbrt.f64 (/.f64 1 (.f64 eps b))) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (.f64 b b) (pow.f64 eps 7)) 1/18) (pow.f64 (/.f64 (.f64 b b) (pow.f64 eps 7)) 1/18)) (/.f64 1 a))))
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 b (/.f64 (pow.f64 eps 7) b)) 1/18) (pow.f64 (/.f64 b (/.f64 (pow.f64 eps 7) b)) 1/18)) a) (cbrt.f64 (/.f64 (/.f64 1 b) eps)))
(fma.f64 1/3 (.f64 (pow.f64 (.f64 (/.f64 b (pow.f64 eps 7)) b) 1/18) (/.f64 (pow.f64 (*.f64 (/.f64 b (pow.f64 eps 7)) b) 1/18) a)) (cbrt.f64 (/.f64 (/.f64 1 eps) b)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 b 7)) (pow.f64 eps 11)) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (pow.f64 (/.f64 1 (.f64 eps b)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 eps 7)) 1/9) (/.f64 1 a)))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18) (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18)) (/.f64 1 (.f64 a a))) (+.f64 (cbrt.f64 (/.f64 1 (.f64 eps b))) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (.f64 b b) (pow.f64 eps 7)) 1/18) (pow.f64 (/.f64 (*.f64 b b) (pow.f64 eps 7)) 1/18)) (/.f64 1 a)))))
(fma.f64 -1/9 (/.f64 (.f64 (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18) (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18)) (.f64 a a)) (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 b (/.f64 (pow.f64 eps 7) b)) 1/18) (pow.f64 (/.f64 b (/.f64 (pow.f64 eps 7) b)) 1/18)) a) (cbrt.f64 (/.f64 (/.f64 1 b) eps))))
(fma.f64 1/3 (.f64 (pow.f64 (.f64 (/.f64 b (pow.f64 eps 7)) b) 1/18) (/.f64 (pow.f64 (.f64 (/.f64 b (pow.f64 eps 7)) b) 1/18) a)) (fma.f64 (.f64 (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18) (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18)) (/.f64 -1/9 (*.f64 a a)) (cbrt.f64 (/.f64 (/.f64 1 eps) b))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 eps 2) (.f64 1 (pow.f64 b 2))) 1/3) (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 b 2)) (pow.f64 eps 7)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 eps 7)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (pow.f64 a 3)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 b 7)) (pow.f64 eps 11)) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (pow.f64 (/.f64 1 (.f64 eps b)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 eps 7)) 1/9) (/.f64 1 a))))))
(fma.f64 -1/3 (/.f64 (.f64 (cbrt.f64 (.f64 (.f64 b b) (.f64 eps eps))) (fma.f64 1/27 (cbrt.f64 (/.f64 (.f64 b b) (pow.f64 eps 7))) (.f64 (.f64 -2/9 (cbrt.f64 (/.f64 (.f64 b b) (pow.f64 eps 7)))) 1))) (pow.f64 a 3)) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18) (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18)) (/.f64 1 (.f64 a a))) (+.f64 (cbrt.f64 (/.f64 1 (.f64 eps b))) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (.f64 b b) (pow.f64 eps 7)) 1/18) (pow.f64 (/.f64 (*.f64 b b) (pow.f64 eps 7)) 1/18)) (/.f64 1 a))))))
(fma.f64 -1/3 (/.f64 (cbrt.f64 (.f64 b (.f64 b (.f64 eps eps)))) (/.f64 (pow.f64 a 3) (fma.f64 1/27 (cbrt.f64 (/.f64 b (/.f64 (pow.f64 eps 7) b))) (.f64 -2/9 (cbrt.f64 (/.f64 b (/.f64 (pow.f64 eps 7) b))))))) (fma.f64 -1/9 (/.f64 (.f64 (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18) (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18)) (.f64 a a)) (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 b (/.f64 (pow.f64 eps 7) b)) 1/18) (pow.f64 (/.f64 b (/.f64 (pow.f64 eps 7) b)) 1/18)) a) (cbrt.f64 (/.f64 (/.f64 1 b) eps)))))
(fma.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18) (/.f64 (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18) (.f64 a a))) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 (.f64 b (.f64 b (.f64 eps eps)))) (pow.f64 a 3)) (.f64 (cbrt.f64 (.f64 (/.f64 b (pow.f64 eps 7)) b)) -5/27)) (fma.f64 1/3 (.f64 (pow.f64 (.f64 (/.f64 b (pow.f64 eps 7)) b) 1/18) (/.f64 (pow.f64 (*.f64 (/.f64 b (pow.f64 eps 7)) b) 1/18) a)) (cbrt.f64 (/.f64 (/.f64 1 eps) b)))))
(fma.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18) (/.f64 (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18) (.f64 a a))) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 b (pow.f64 eps 7)) b)) -5/27) (/.f64 (cbrt.f64 (.f64 b (.f64 b (.f64 eps eps)))) (pow.f64 a 3))) (fma.f64 1/3 (.f64 (pow.f64 (.f64 (/.f64 b (pow.f64 eps 7)) b) 1/18) (/.f64 (pow.f64 (*.f64 (/.f64 b (pow.f64 eps 7)) b) 1/18) a)) (cbrt.f64 (/.f64 (/.f64 1 eps) b)))))
(.f64 (pow.f64 (/.f64 1 (.f64 eps b)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (/.f64 1 (.f64 eps b))) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 b) eps)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 eps) b)) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 eps b)) 1/3) (pow.f64 (cbrt.f64 -1) 2)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 b 2)) (pow.f64 eps 7)) 1/9) (.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 -1) 1/3)))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 eps b))) (pow.f64 (cbrt.f64 -1) 2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 (.f64 b b) (pow.f64 eps 7)) 1/18) (pow.f64 (/.f64 (.f64 b b) (pow.f64 eps 7)) 1/18)) (*.f64 (/.f64 1 a) (cbrt.f64 (cbrt.f64 -1))))))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 1 b) eps)) (pow.f64 (cbrt.f64 -1) 2) (.f64 (.f64 (pow.f64 (/.f64 b (/.f64 (pow.f64 eps 7) b)) 1/18) (pow.f64 (/.f64 b (/.f64 (pow.f64 eps 7) b)) 1/18)) (*.f64 (/.f64 (cbrt.f64 (cbrt.f64 -1)) a) -1/3)))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 1 eps) b)) (pow.f64 (cbrt.f64 -1) 2) (.f64 (.f64 (pow.f64 (.f64 (/.f64 b (pow.f64 eps 7)) b) 1/18) (pow.f64 (.f64 (/.f64 b (pow.f64 eps 7)) b) 1/18)) (*.f64 -1/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) a))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 b 7)) (pow.f64 eps 11)) 1/9) (.f64 (/.f64 1 (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 eps b)) 1/3) (pow.f64 (cbrt.f64 -1) 2)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 b 2)) (pow.f64 eps 7)) 1/9) (.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 -1) 1/3))))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18) (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18)) (.f64 (/.f64 1 (.f64 a a)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (fma.f64 (cbrt.f64 (/.f64 1 (.f64 eps b))) (pow.f64 (cbrt.f64 -1) 2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 (.f64 b b) (pow.f64 eps 7)) 1/18) (pow.f64 (/.f64 (.f64 b b) (pow.f64 eps 7)) 1/18)) (*.f64 (/.f64 1 a) (cbrt.f64 (cbrt.f64 -1)))))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18) (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (.f64 a a))) (fma.f64 (cbrt.f64 (/.f64 (/.f64 1 b) eps)) (pow.f64 (cbrt.f64 -1) 2) (.f64 (.f64 (pow.f64 (/.f64 b (/.f64 (pow.f64 eps 7) b)) 1/18) (pow.f64 (/.f64 b (/.f64 (pow.f64 eps 7) b)) 1/18)) (.f64 (/.f64 (cbrt.f64 (cbrt.f64 -1)) a) -1/3))))
(fma.f64 (.f64 (pow.f64 (.f64 (/.f64 b (pow.f64 eps 7)) b) 1/18) (pow.f64 (.f64 (/.f64 b (pow.f64 eps 7)) b) 1/18)) (.f64 -1/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) a)) (fma.f64 (.f64 (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18) (pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 eps 11)) 1/18)) (/.f64 (.f64 -1/9 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (.f64 a a)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 eps) b)) (pow.f64 (cbrt.f64 -1) 2))))
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(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 (/.f64 (+.f64 b a) a) b)
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 (/.f64 (+.f64 b a) a) b)
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 (*.f64 eps a))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(/.f64 1 (*.f64 eps b))
(/.f64 (/.f64 1 b) eps)
(/.f64 (/.f64 1 eps) b)
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(/.f64 1 (*.f64 eps b))
(/.f64 (/.f64 1 b) eps)
(/.f64 (/.f64 1 eps) b)
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(/.f64 1 (*.f64 eps b))
(/.f64 (/.f64 1 b) eps)
(/.f64 (/.f64 1 eps) b)
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(/.f64 1 (*.f64 eps a))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(/.f64 1 (*.f64 eps a))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 b) eps) (/.f64 1 (*.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 eps a)))

eval481.0ms (2.3%)

Compiler: Compiled 11024 to 5819 computations (47.2% saved)

prune427.0ms (2.1%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	622	8	630
Fresh	4	6	10
Picked	1	0	1
Done	2	6	8
Total	629	20	649

Error

Counts

649 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.8b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
	55.3b	(.f64 eps (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 3)))
	54.3b	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps b))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))
✓	17.2b	(/.f64 (+.f64 b a) (*.f64 b a))
	51.9b	(.f64 eps (pow.f64 (cbrt.f64 (/.f64 1 (.f64 eps a))) 3))
✓	3.1b	(+.f64 (/.f64 1 b) (/.f64 1 a))
✓	33.2b	(/.f64 1 b)
	38.6b	(/.f64 (/.f64 b a) b)
	32.9b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
	61.9b	(*.f64 -1/2 eps)
	62.4b	(/.f64 (.f64 2 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 eps (.f64 a a)))) (expm1.f64 (*.f64 eps b)))
	55.2b	(+.f64 (/.f64 eps (-.f64 1 (-.f64 1 (.f64 eps a)))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
	33.3b	(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
✓	43.9b	(/.f64 eps (expm1.f64 (*.f64 eps b)))
	8.1b	(/.f64 (+.f64 (/.f64 b a) 1) b)
✓	33.5b	(/.f64 1 a)
	51.7b	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
	47.3b	(/.f64 eps (/.f64 (*.f64 a b) (/.f64 (+.f64 a b) eps)))
	46.3b	(/.f64 eps (*.f64 eps b))
	9.4b	(/.f64 (/.f64 (+.f64 b a) b) a)

Compiler

Compiled 255 to 172 computations (32.5% saved)

regimes512.0ms (2.5%)

Counts

46 → 3

Calls

Call 1

Inputs
(*.f64 -1/2 eps)
(/.f64 1 b)
(/.f64 1 b)
(/.f64 1 a)
(/.f64 (/.f64 b a) b)
(/.f64 eps (*.f64 eps b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
(/.f64 (+.f64 (/.f64 b a) 1) b)
(/.f64 (/.f64 (+.f64 b a) a) b)
(/.f64 (/.f64 (+.f64 b a) b) a)
(.f64 eps (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 eps (/.f64 1 (.f64 eps a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 1 (/.f64 (*.f64 b a) (+.f64 b a)))
(*.f64 (/.f64 1 b) (/.f64 (+.f64 b a) a))
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 1 a))
(.f64 (/.f64 1 (.f64 b a)) (+.f64 b a))
(/.f64 eps (/.f64 (*.f64 a b) (/.f64 (+.f64 a b) eps)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(/.f64 eps (/.f64 (*.f64 eps b) (/.f64 (+.f64 a b) a)))
(.f64 eps (/.f64 (+.f64 a b) (.f64 a (*.f64 b eps))))
(.f64 eps (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b))))
(+.f64 (/.f64 eps (.f64 eps a)) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
(+.f64 (/.f64 -2 (.f64 eps (.f64 a a))) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 eps (-.f64 1 (-.f64 1 (.f64 eps a)))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
(+.f64 (/.f64 eps (-.f64 1 (+.f64 1 (.f64 a (-.f64 (.f64 (.f64 eps 1/2) (.f64 eps a)) eps))))) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(/.f64 eps (expm1.f64 (*.f64 eps b)))
(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))) (.f64 eps -1/2)))
(.f64 eps (pow.f64 (cbrt.f64 (/.f64 1 (.f64 eps a))) 3))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) 3)
(*.f64 (/.f64 (sqrt.f64 (+.f64 b a)) b) (/.f64 (sqrt.f64 (+.f64 b a)) a))
(.f64 eps (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b)))) 3))
(/.f64 (.f64 2 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 eps (.f64 a a)))) (expm1.f64 (*.f64 eps b)))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps b))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (.f64 eps b)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (-.f64 (exp.f64 (.f64 b eps)) 1)))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
(+.f64 (/.f64 1 b) (fma.f64 eps (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 b a) 2) (.f64 b a)) (/.f64 -1/2 (/.f64 (/.f64 (.f64 b b) (/.f64 (+.f64 b a) (.f64 a a))) (.f64 b (*.f64 a (+.f64 b a)))))) (/.f64 1 a)))
(.f64 eps (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 3)))

Outputs
(/.f64 (/.f64 (+.f64 b a) b) a)
(.f64 eps (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 3)))
(+.f64 (/.f64 1 b) (/.f64 1 a))

Calls

4 calls:

188.0ms	a
183.0ms	eps
63.0ms	b
49.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Results

Error	Segments	Branch
2.8b	1	`a`
2.8b	1	`b`
2.8b	1	`eps`
0.0b	3	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))`

Compiler

Compiled 634 to 288 computations (54.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.680041804419823e-13	+inf
0.0ms	-inf	-6.627628977221358e-9

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes116.0ms (0.6%)

Counts

45 → 3

Calls

Call 1

Inputs
(*.f64 -1/2 eps)
(/.f64 1 b)
(/.f64 1 b)
(/.f64 1 a)
(/.f64 (/.f64 b a) b)
(/.f64 eps (*.f64 eps b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
(/.f64 (+.f64 (/.f64 b a) 1) b)
(/.f64 (/.f64 (+.f64 b a) a) b)
(/.f64 (/.f64 (+.f64 b a) b) a)
(.f64 eps (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 eps (/.f64 1 (.f64 eps a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 1 (/.f64 (*.f64 b a) (+.f64 b a)))
(*.f64 (/.f64 1 b) (/.f64 (+.f64 b a) a))
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 1 a))
(.f64 (/.f64 1 (.f64 b a)) (+.f64 b a))
(/.f64 eps (/.f64 (*.f64 a b) (/.f64 (+.f64 a b) eps)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(/.f64 eps (/.f64 (*.f64 eps b) (/.f64 (+.f64 a b) a)))
(.f64 eps (/.f64 (+.f64 a b) (.f64 a (*.f64 b eps))))
(.f64 eps (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b))))
(+.f64 (/.f64 eps (.f64 eps a)) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
(+.f64 (/.f64 -2 (.f64 eps (.f64 a a))) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 eps (-.f64 1 (-.f64 1 (.f64 eps a)))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
(+.f64 (/.f64 eps (-.f64 1 (+.f64 1 (.f64 a (-.f64 (.f64 (.f64 eps 1/2) (.f64 eps a)) eps))))) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(/.f64 eps (expm1.f64 (*.f64 eps b)))
(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))) (.f64 eps -1/2)))
(.f64 eps (pow.f64 (cbrt.f64 (/.f64 1 (.f64 eps a))) 3))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) 3)
(*.f64 (/.f64 (sqrt.f64 (+.f64 b a)) b) (/.f64 (sqrt.f64 (+.f64 b a)) a))
(.f64 eps (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b)))) 3))
(/.f64 (.f64 2 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 eps (.f64 a a)))) (expm1.f64 (*.f64 eps b)))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps b))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (.f64 eps b)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (-.f64 (exp.f64 (.f64 b eps)) 1)))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
(+.f64 (/.f64 1 b) (fma.f64 eps (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 b a) 2) (.f64 b a)) (/.f64 -1/2 (/.f64 (/.f64 (.f64 b b) (/.f64 (+.f64 b a) (.f64 a a))) (.f64 b (*.f64 a (+.f64 b a)))))) (/.f64 1 a)))

Outputs
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
(+.f64 (/.f64 1 b) (/.f64 1 a))

Calls

4 calls:

34.0ms	a
28.0ms	eps
27.0ms	b
12.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Results

Error	Segments	Branch
2.8b	1	`a`
2.8b	1	`b`
2.8b	1	`eps`
0.0b	3	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))`

Compiler

Compiled 613 to 284 computations (53.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.680041804419823e-13	+inf
0.0ms	-inf	-6.627628977221358e-9

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes249.0ms (1.2%)

Counts

41 → 1

Calls

Call 1

Inputs
(*.f64 -1/2 eps)
(/.f64 1 b)
(/.f64 1 b)
(/.f64 1 a)
(/.f64 (/.f64 b a) b)
(/.f64 eps (*.f64 eps b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
(/.f64 (+.f64 (/.f64 b a) 1) b)
(/.f64 (/.f64 (+.f64 b a) a) b)
(/.f64 (/.f64 (+.f64 b a) b) a)
(.f64 eps (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 eps (/.f64 1 (.f64 eps a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 1 (/.f64 (*.f64 b a) (+.f64 b a)))
(*.f64 (/.f64 1 b) (/.f64 (+.f64 b a) a))
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 1 a))
(.f64 (/.f64 1 (.f64 b a)) (+.f64 b a))
(/.f64 eps (/.f64 (*.f64 a b) (/.f64 (+.f64 a b) eps)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(/.f64 eps (/.f64 (*.f64 eps b) (/.f64 (+.f64 a b) a)))
(.f64 eps (/.f64 (+.f64 a b) (.f64 a (*.f64 b eps))))
(.f64 eps (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b))))
(+.f64 (/.f64 eps (.f64 eps a)) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
(+.f64 (/.f64 -2 (.f64 eps (.f64 a a))) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 eps (-.f64 1 (-.f64 1 (.f64 eps a)))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
(+.f64 (/.f64 eps (-.f64 1 (+.f64 1 (.f64 a (-.f64 (.f64 (.f64 eps 1/2) (.f64 eps a)) eps))))) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(/.f64 eps (expm1.f64 (*.f64 eps b)))
(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps a))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))) (.f64 eps -1/2)))
(.f64 eps (pow.f64 (cbrt.f64 (/.f64 1 (.f64 eps a))) 3))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) 3)
(*.f64 (/.f64 (sqrt.f64 (+.f64 b a)) b) (/.f64 (sqrt.f64 (+.f64 b a)) a))
(.f64 eps (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b)))) 3))
(/.f64 (.f64 2 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 eps (.f64 a a)))) (expm1.f64 (*.f64 eps b)))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps b))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))) (expm1.f64 (*.f64 eps b)))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (.f64 eps b)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (-.f64 (exp.f64 (.f64 b eps)) 1)))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))

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

Calls

3 calls:

183.0ms	eps
21.0ms	a
20.0ms	b

Results

Error	Segments	Branch
2.8b	1	`a`
2.8b	1	`b`
2.8b	1	`eps`

Compiler

Compiled 485 to 230 computations (52.6% saved)

regimes196.0ms (0.9%)

Counts

20 → 1

Calls

Call 1

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

Outputs
(+.f64 (/.f64 1 b) (/.f64 1 a))

Calls

3 calls:

168.0ms	b
12.0ms	a
11.0ms	eps

Results

Error	Segments	Branch
3.1b	1	`a`
3.1b	1	`b`
3.1b	1	`eps`

Compiler

Compiled 147 to 73 computations (50.3% saved)

regimes232.0ms (1.1%)

Counts

12 → 2

Calls

Call 1

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

Outputs
(/.f64 (+.f64 (/.f64 b a) 1) b)
(/.f64 (/.f64 (+.f64 b a) b) a)

Calls

3 calls:

170.0ms	b
45.0ms	eps
14.0ms	a

Results

Error	Segments	Branch
3.1b	2	`a`
3.1b	2	`b`
6.4b	2	`eps`

Compiler

Compiled 79 to 46 computations (41.8% saved)

bsearch305.0ms (1.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
305.0ms	-8.86491277646649e-63	-8.473585412605626e-68

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes77.0ms (0.4%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	a
30.0ms	b
6.0ms	eps

Results

Error	Segments	Branch
5.4b	2	`a`
3.5b	2	`b`
8.1b	1	`eps`

Compiler

Compiled 65 to 40 computations (38.5% saved)

bsearch684.0ms (3.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
683.0ms	2.6868848510536292e+140	1.4749521923226724e+141

Compiler

Compiled 165 to 126 computations (23.6% saved)

regimes111.0ms (0.5%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

64.0ms	b
32.0ms	eps
12.0ms	a

Results

Error	Segments	Branch
12.0b	2	`a`
14.7b	4	`b`
24.5b	6	`eps`

Compiler

Compiled 51 to 34 computations (33.3% saved)

bsearch252.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
252.0ms	-1.631208889103719e-127	-3.7291676762045035e-134

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes64.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	eps
22.0ms	b
10.0ms	a

Results

Error	Segments	Branch
12.1b	2	`a`
14.8b	4	`b`
24.6b	6	`eps`

Compiler

Compiled 44 to 29 computations (34.1% saved)

bsearch324.0ms (1.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
324.0ms	-1.631208889103719e-127	-3.7291676762045035e-134

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes168.0ms (0.8%)

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 -1/2 eps)
(/.f64 1 b)
(/.f64 1 b)
(/.f64 1 a)
(/.f64 (/.f64 b a) b)
(/.f64 eps (*.f64 eps b))

Outputs
(/.f64 1 b)
(/.f64 1 a)

Calls

3 calls:

87.0ms	eps
58.0ms	b
20.0ms	a

Results

Error	Segments	Branch
12.3b	2	`a`
15.0b	4	`b`
24.8b	6	`eps`

Compiler

Compiled 37 to 24 computations (35.1% saved)

bsearch381.0ms (1.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
381.0ms	-1.631208889103719e-127	-3.7291676762045035e-134

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes28.0ms (0.1%)

Accuracy

Total -29.2b remaining (-87.9%)

Threshold costs -29.2b (-87.9%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 -1/2 eps)
(/.f64 1 b)
(/.f64 1 b)

Outputs
(/.f64 1 b)

Calls

3 calls:

9.0ms	a
8.0ms	b
8.0ms	eps

Results

Error	Segments	Branch
33.2b	1	`a`
33.2b	1	`b`
33.2b	1	`eps`

Compiler

Compiled 24 to 18 computations (25% saved)

simplify29.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
9×	`*-commutative_binary64`
3×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	415
1	92	415
2	95	415

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (/.f64 (/.f64 (+.f64 b a) b) a) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 4951760157141521/9903520314283042199192993792) (.f64 eps (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 3))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (/.f64 (/.f64 (+.f64 b a) b) a) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 4951760157141521/9903520314283042199192993792) (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -4105947085174529/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 (+.f64 (/.f64 b a) 1) b) (/.f64 (/.f64 (+.f64 b a) b) a))
(if (<=.f64 b 270000000000000018122005435148810426653307705375889715385990186589798761847755892638561432527845242977315312447781045472512060821564119056384) (/.f64 (+.f64 (/.f64 b a) 1) b) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))
(if (<=.f64 a -7956599976284523/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) (+.f64 (/.f64 1 a) (.f64 eps -1/2)))
(if (<=.f64 a -7956599976284523/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (/.f64 1 a))
(if (<=.f64 a -7956599976284523/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(*.f64 -1/2 eps)

Outputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (/.f64 (/.f64 (+.f64 b a) b) a) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 4951760157141521/9903520314283042199192993792) (.f64 eps (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 3))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) -inf.0) (/.f64 (/.f64 (+.f64 a b) b) a) (if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) 4951760157141521/9903520314283042199192993792) (.f64 eps (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 3))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (/.f64 (/.f64 (+.f64 b a) b) a) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 4951760157141521/9903520314283042199192993792) (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) -inf.0) (/.f64 (/.f64 (+.f64 a b) b) a) (if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) 4951760157141521/9903520314283042199192993792) (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -4105947085174529/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 (+.f64 (/.f64 b a) 1) b) (/.f64 (/.f64 (+.f64 b a) b) a))
(if (<=.f64 a -4105947085174529/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 (+.f64 1 (/.f64 b a)) b) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 270000000000000018122005435148810426653307705375889715385990186589798761847755892638561432527845242977315312447781045472512060821564119056384) (/.f64 (+.f64 (/.f64 b a) 1) b) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))
(if (<=.f64 b 270000000000000018122005435148810426653307705375889715385990186589798761847755892638561432527845242977315312447781045472512060821564119056384) (/.f64 (+.f64 1 (/.f64 b a)) b) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))
(if (<=.f64 a -7956599976284523/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) (+.f64 (/.f64 1 a) (.f64 eps -1/2)))
(if (<=.f64 a -7956599976284523/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (+.f64 (/.f64 1 b) (.f64 eps -1/2)) (+.f64 (/.f64 1 a) (.f64 eps -1/2)))
(if (<=.f64 a -7956599976284523/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (/.f64 1 a))
(if (<=.f64 a -7956599976284523/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) (/.f64 1 a))
(if (<=.f64 a -7956599976284523/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(*.f64 -1/2 eps)
(*.f64 eps -1/2)

Compiler

Compiled 310 to 193 computations (37.7% saved)

soundness427.0ms (2.1%)

Algorithm

4×	egg-herbie

Rules

986×	`times-frac_binary64`
932×	`fma-def_binary64`
866×	`times-frac_binary64`
866×	`times-frac_binary64`
786×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	3456
1	815	3414
2	3046	3232
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28
0	239	3456
1	815	3414
2	3046	3232
0	115	1432
1	369	1385
2	1411	1336
3	7562	1324

Stop Event

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

Compiler

Compiled 490 to 317 computations (35.3% saved)

end210.0ms (1%)

Compiler: Compiled 464 to 247 computations (46.8% saved)