Details

analyze993.0ms (5.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	49.9%	50.1%	0
0%	49.9%	50.1%	1
0%	49.9%	50.1%	2
0%	49.9%	50.1%	3
0%	49.9%	50.1%	4
0%	49.9%	50.1%	5
0%	49.9%	50.1%	6
0%	49.9%	50.1%	7
0%	49.9%	50.1%	8
0.4%	49.5%	50.1%	9
0.4%	48.9%	50.7%	10
0.6%	48.2%	51.2%	11
1.1%	47.3%	51.7%	12

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample9.6s (51.9%)

Results

5.9s	4214×	body	2048	valid
2.3s	2449×	body	1024	valid
356.0ms	433×	body	1024	invalid
312.0ms	768×	body	512	valid
270.0ms	818×	body	256	valid
269.0ms	274×	body	2048	invalid
136.0ms	705×	body	256	invalid
79.0ms	233×	body	512	invalid
10.0ms	7×	body	4096	valid

preprocess51.0ms (0.3%)

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)

simplify28.0ms (0.2%)

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)))))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

43.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.1b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 eps (+.f64 a b))
✓	0.1b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	13.5b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	30.0b	(.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)

series46.0ms (0.3%)

Counts

4 → 132

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
5.0ms	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	eps	@	0	(*.f64 eps (+.f64 a 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)))))

rewrite99.0ms (0.5%)

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	74
1	294	74
2	4083	74

Stop Event

1×	node limit

Counts

4 → 156

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

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

simplify198.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

883×	`times-frac_binary64`
420×	`cancel-sign-sub-inv_binary64`
269×	`associate-r_binary64`
255×	`fma-def_binary64`
212×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	5491
1	997	5417
2	3840	5129

Stop Event

1×	node limit

Counts

288 → 241

Calls

Call 1

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

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

eval335.0ms (1.8%)

Compiler: Compiled 9414 to 3550 computations (62.3% saved)

prune206.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	231	10	241
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	232	10	242

Error

0.0b

Counts

242 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	51.6b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	12.2b	(/.f64 (+.f64 a b) (*.f64 a b))
▶	55.9b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
	43.3b	(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
	58.2b	(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
▶	48.8b	(.f64 eps (/.f64 1 (.f64 eps a)))
	32.9b	(/.f64 1 b)
▶	10.9b	(/.f64 (/.f64 (+.f64 a b) a) b)
▶	50.1b	(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 -1/2 (/.f64 (.f64 a a) (.f64 (*.f64 a b) (+.f64 a b))))))))
▶	33.4b	(/.f64 1 a)

Compiler

Compiled 350 to 218 computations (37.7% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) a)
✓	7.4b	(/.f64 (/.f64 (+.f64 a b) a) b)

Compiler

Compiled 20 to 6 computations (70% saved)

series12.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(/.f64 (/.f64 (+.f64 a b) a) b)
1.0ms	a	@	-inf	(/.f64 (/.f64 (+.f64 a b) a) b)
1.0ms	a	@	0	(/.f64 (/.f64 (+.f64 a b) a) b)
1.0ms	b	@	-inf	(/.f64 (/.f64 (+.f64 a b) a) b)
1.0ms	a	@	inf	(/.f64 (/.f64 (+.f64 a b) a) b)

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`pow1_binary64`
895×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	143	17
2	2354	17

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

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

Outputs

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

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

simplify21.0ms (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 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 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)
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)

Outputs
(/.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 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))
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))

localize8.0ms (0%)

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

localize38.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 eps a))
✓	16.9b	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`pow1_binary64`
626×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
612×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	142	14
2	1778	14

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96
1	6	96

Stop Event

1×

saturated

Counts

75 → 52

Calls

Call 1

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

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

localize67.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
✓	0.0b	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps)))))
✓	0.0b	(exp.f64 (neg.f64 (*.f64 b eps)))
✓	1.8b	(-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps))))

Compiler

Compiled 72 to 32 computations (55.6% saved)

series32.0ms (0.2%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps)))))
2.0ms	eps	@	0	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
2.0ms	eps	@	-inf	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps)))))
2.0ms	eps	@	inf	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps)))))
1.0ms	b	@	0	(-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps))))

rewrite167.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`fma-def_binary64`
324×	`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	59
1	337	49
2	4996	49

Stop Event

1×	node limit

Counts

4 → 206

Calls

Call 1

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

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

simplify138.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

407×	`associate-+l+_binary64`
375×	`associate-+r+_binary64`
375×	`distribute-neg-in_binary64`
321×	`unsub-neg_binary64`
319×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1964
1	394	1925
2	1573	1866
3	5371	1789

Stop Event

1×	node limit

Counts

314 → 256

Calls

Call 1

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

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

localize132.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	18.1b	(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 -1/2 (/.f64 (.f64 a a) (.f64 (*.f64 a b) (+.f64 a b))))))
✓	20.1b	(/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b))
✓	24.7b	(/.f64 (.f64 a a) (.f64 (*.f64 a b) (+.f64 a b)))
✓	29.4b	(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 -1/2 (/.f64 (.f64 a a) (.f64 (*.f64 a b) (+.f64 a b))))))))

Compiler

Compiled 255 to 77 computations (69.8% saved)

series97.0ms (0.5%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
42.0ms	a	@	inf	(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 -1/2 (/.f64 (.f64 a a) (.f64 (*.f64 a b) (+.f64 a b))))))
14.0ms	eps	@	-inf	(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 -1/2 (/.f64 (.f64 a a) (.f64 (*.f64 a b) (+.f64 a b))))))))
4.0ms	eps	@	0	(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 -1/2 (/.f64 (.f64 a a) (.f64 (*.f64 a b) (+.f64 a b))))))))
4.0ms	b	@	-inf	(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 -1/2 (/.f64 (.f64 a a) (.f64 (*.f64 a b) (+.f64 a b))))))))
3.0ms	a	@	-inf	(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 -1/2 (/.f64 (.f64 a a) (.f64 (*.f64 a b) (+.f64 a b))))))))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

326×	`add-sqr-sqrt_binary64`
318×	`pow1_binary64`
317×	`*-un-lft-identity_binary64`
303×	`add-log-exp_binary64`
303×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	153
1	638	149

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

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

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

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

603×	`distribute-rgt-in_binary64`
551×	`distribute-lft-in_binary64`
448×	`fma-neg_binary64`
280×	`associate-/l/_binary64`
277×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1629
1	307	1404
2	876	1254
3	3455	1227

Stop Event

1×	node limit

Counts

235 → 161

Calls

Call 1

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

Outputs
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)))) eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)))) eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)))) eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)))) eps)
(.f64 (.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)) 0) eps)
(*.f64 eps 0)
0
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)))) eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)))) eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)))) eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)))) eps)
(.f64 (.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)) 0) eps)
(*.f64 eps 0)
0
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)))) eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)))) eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)))) eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 (.f64 eps (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 a) (*.f64 -1/2 a)))) b)
(/.f64 eps (/.f64 b (+.f64 (/.f64 1 eps) (*.f64 a 0))))
(/.f64 (+.f64 1 (*.f64 eps 0)) b)
(/.f64 1 b)
(+.f64 (/.f64 (.f64 eps (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 a) (*.f64 -1/2 a)))) b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 (.f64 eps (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 a) (*.f64 -1/2 a)))) b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 (.f64 eps (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 a) (*.f64 -1/2 a)))) b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 (.f64 eps (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 a) (*.f64 -1/2 a)))) b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 (.f64 eps (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 a) (*.f64 -1/2 a)))) b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 (.f64 eps (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 a) (*.f64 -1/2 a)))) b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (.f64 -1 (/.f64 (.f64 eps (-.f64 (+.f64 (.f64 1/2 a) (.f64 -1/2 a)) (/.f64 1 eps))) b)) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (.f64 -1 (/.f64 (.f64 eps (-.f64 (+.f64 (.f64 1/2 a) (.f64 -1/2 a)) (/.f64 1 eps))) b)) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (.f64 -1 (/.f64 (.f64 eps (-.f64 (+.f64 (.f64 1/2 a) (.f64 -1/2 a)) (/.f64 1 eps))) b)) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 (.f64 eps (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 b) (*.f64 -1/2 b)))) a)
(/.f64 1 a)
(+.f64 (/.f64 (.f64 eps (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 b) (*.f64 -1/2 b)))) a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 (.f64 eps (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 b) (*.f64 -1/2 b)))) a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 (.f64 eps (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 b) (*.f64 -1/2 b)))) a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(/.f64 eps (/.f64 b (+.f64 (/.f64 1 eps) (*.f64 a 0))))
(/.f64 (+.f64 1 (*.f64 eps 0)) b)
(+.f64 (/.f64 (.f64 eps (+.f64 (.f64 1/2 b) (+.f64 (*.f64 -1/2 b) (/.f64 1 eps)))) a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 (.f64 eps (+.f64 (.f64 1/2 b) (+.f64 (*.f64 -1/2 b) (/.f64 1 eps)))) a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 (.f64 eps (+.f64 (.f64 1/2 b) (+.f64 (*.f64 -1/2 b) (/.f64 1 eps)))) a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(/.f64 eps (/.f64 b (+.f64 (/.f64 1 eps) (*.f64 a 0))))
(/.f64 (+.f64 1 (*.f64 eps 0)) b)
(+.f64 (.f64 -1 (/.f64 (.f64 eps (-.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) (/.f64 1 eps))) a)) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (.f64 -1 (/.f64 (.f64 eps (-.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) (/.f64 1 eps))) a)) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (.f64 -1 (/.f64 (.f64 eps (-.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) (/.f64 1 eps))) a)) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 a (pow.f64 b 2))
(/.f64 a (*.f64 b b))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (/.f64 a (pow.f64 b 2)))
(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 3)) (/.f64 a (.f64 b b)))
(-.f64 (/.f64 a (*.f64 b b)) (/.f64 a (/.f64 (pow.f64 b 3) a)))
(-.f64 (/.f64 a (.f64 b b)) (.f64 (/.f64 a (pow.f64 b 3)) a))
(.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a (.f64 b b)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 a (pow.f64 b 2))))
(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 3)) (+.f64 (/.f64 a (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 4))))
(-.f64 (+.f64 (/.f64 a (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 a (.f64 b b)) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (.f64 (/.f64 a (pow.f64 b 3)) a)))
(+.f64 (/.f64 a (.f64 b b)) (.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (+.f64 -1 (/.f64 a b))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 5))) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 a (pow.f64 b 2)))))
(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 5)) (+.f64 (/.f64 a (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 a (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (/.f64 (pow.f64 a 4) (pow.f64 b 5))) (/.f64 a (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 a (.f64 b b)) (.f64 (/.f64 a (pow.f64 b 3)) a)) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 (pow.f64 a 4) (pow.f64 b 5))))
(+.f64 (/.f64 a (.f64 b b)) (-.f64 (.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (+.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 5))))
(/.f64 1 b)
(/.f64 eps (/.f64 b (+.f64 (/.f64 1 eps) (*.f64 a 0))))
(/.f64 (+.f64 1 (*.f64 eps 0)) b)
(-.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 -1 a))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 b)) (/.f64 1 a))
(+.f64 (/.f64 b (*.f64 a a)) (-.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 b (*.f64 a a)) (/.f64 -1 a)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 b (*.f64 a a))) (/.f64 -1 a))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 3))) (/.f64 1 b))) (/.f64 1 a))
(+.f64 (/.f64 b (.f64 a a)) (-.f64 (fma.f64 -1 (/.f64 (.f64 b b) (pow.f64 a 3)) (/.f64 1 b)) (/.f64 1 a)))
(+.f64 (/.f64 b (*.f64 a a)) (+.f64 (-.f64 (/.f64 1 b) (/.f64 b (/.f64 (pow.f64 a 3) b))) (/.f64 -1 a)))
(+.f64 (/.f64 1 b) (-.f64 (-.f64 (/.f64 b (*.f64 a a)) (/.f64 b (/.f64 (pow.f64 a 3) b))) (/.f64 1 a)))
(+.f64 (/.f64 b (*.f64 a a)) (-.f64 (/.f64 1 b) (fma.f64 (/.f64 b (pow.f64 a 3)) b (/.f64 1 a))))
(/.f64 1 b)
(/.f64 eps (/.f64 b (+.f64 (/.f64 1 eps) (*.f64 a 0))))
(/.f64 (+.f64 1 (*.f64 eps 0)) b)
(-.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 -1 a))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 b)) (/.f64 1 a))
(+.f64 (/.f64 b (*.f64 a a)) (-.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 b (*.f64 a a)) (/.f64 -1 a)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 b (*.f64 a a))) (/.f64 -1 a))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 3))) (/.f64 1 b))) (/.f64 1 a))
(+.f64 (/.f64 b (.f64 a a)) (-.f64 (fma.f64 -1 (/.f64 (.f64 b b) (pow.f64 a 3)) (/.f64 1 b)) (/.f64 1 a)))
(+.f64 (/.f64 b (*.f64 a a)) (+.f64 (-.f64 (/.f64 1 b) (/.f64 b (/.f64 (pow.f64 a 3) b))) (/.f64 -1 a)))
(+.f64 (/.f64 1 b) (-.f64 (-.f64 (/.f64 b (*.f64 a a)) (/.f64 b (/.f64 (pow.f64 a 3) b))) (/.f64 1 a)))
(+.f64 (/.f64 b (*.f64 a a)) (-.f64 (/.f64 1 b) (fma.f64 (/.f64 b (pow.f64 a 3)) b (/.f64 1 a))))
(/.f64 1 b)
(/.f64 eps (/.f64 b (+.f64 (/.f64 1 eps) (*.f64 a 0))))
(/.f64 (+.f64 1 (*.f64 eps 0)) b)
(-.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 -1 a))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (/.f64 1 b)) (/.f64 1 a))
(+.f64 (/.f64 b (*.f64 a a)) (-.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 b (*.f64 a a)) (/.f64 -1 a)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 b (*.f64 a a))) (/.f64 -1 a))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 3))) (/.f64 1 b))) (/.f64 1 a))
(+.f64 (/.f64 b (.f64 a a)) (-.f64 (fma.f64 -1 (/.f64 (.f64 b b) (pow.f64 a 3)) (/.f64 1 b)) (/.f64 1 a)))
(+.f64 (/.f64 b (*.f64 a a)) (+.f64 (-.f64 (/.f64 1 b) (/.f64 b (/.f64 (pow.f64 a 3) b))) (/.f64 -1 a)))
(+.f64 (/.f64 1 b) (-.f64 (-.f64 (/.f64 b (*.f64 a a)) (/.f64 b (/.f64 (pow.f64 a 3) b))) (/.f64 1 a)))
(+.f64 (/.f64 b (*.f64 a a)) (-.f64 (/.f64 1 b) (fma.f64 (/.f64 b (pow.f64 a 3)) b (/.f64 1 a))))
(/.f64 a (pow.f64 b 2))
(/.f64 a (*.f64 b b))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (/.f64 a (pow.f64 b 2)))
(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 3)) (/.f64 a (.f64 b b)))
(-.f64 (/.f64 a (*.f64 b b)) (/.f64 a (/.f64 (pow.f64 b 3) a)))
(-.f64 (/.f64 a (.f64 b b)) (.f64 (/.f64 a (pow.f64 b 3)) a))
(.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a (.f64 b b)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 a (pow.f64 b 2))))
(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 3)) (+.f64 (/.f64 a (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 4))))
(-.f64 (+.f64 (/.f64 a (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 a (.f64 b b)) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (.f64 (/.f64 a (pow.f64 b 3)) a)))
(+.f64 (/.f64 a (.f64 b b)) (.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (+.f64 -1 (/.f64 a b))))
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(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 5)) (+.f64 (/.f64 a (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 a (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (/.f64 (pow.f64 a 4) (pow.f64 b 5))) (/.f64 a (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 a (.f64 b b)) (.f64 (/.f64 a (pow.f64 b 3)) a)) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 (pow.f64 a 4) (pow.f64 b 5))))
(+.f64 (/.f64 a (.f64 b b)) (-.f64 (.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (+.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 5))))
(/.f64 a (pow.f64 b 2))
(/.f64 a (*.f64 b b))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (/.f64 a (pow.f64 b 2)))
(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 3)) (/.f64 a (.f64 b b)))
(-.f64 (/.f64 a (*.f64 b b)) (/.f64 a (/.f64 (pow.f64 b 3) a)))
(-.f64 (/.f64 a (.f64 b b)) (.f64 (/.f64 a (pow.f64 b 3)) a))
(.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a (.f64 b b)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 a (pow.f64 b 2))))
(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 3)) (+.f64 (/.f64 a (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 4))))
(-.f64 (+.f64 (/.f64 a (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 a (.f64 b b)) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (.f64 (/.f64 a (pow.f64 b 3)) a)))
(+.f64 (/.f64 a (.f64 b b)) (.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (+.f64 -1 (/.f64 a b))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 5))) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 a (pow.f64 b 2)))))
(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 5)) (+.f64 (/.f64 a (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 a (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (/.f64 (pow.f64 a 4) (pow.f64 b 5))) (/.f64 a (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 a (.f64 b b)) (.f64 (/.f64 a (pow.f64 b 3)) a)) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 (pow.f64 a 4) (pow.f64 b 5))))
(+.f64 (/.f64 a (.f64 b b)) (-.f64 (.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (+.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 5))))
(/.f64 b a)
(+.f64 (/.f64 b a) 2)
(+.f64 2 (/.f64 b a))
(+.f64 (/.f64 b a) (+.f64 2 (/.f64 a b)))
(+.f64 2 (+.f64 (/.f64 b a) (/.f64 a b)))
(+.f64 (/.f64 b a) (+.f64 2 (/.f64 a b)))
(+.f64 2 (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 a b)
(+.f64 2 (/.f64 a b))
(+.f64 (/.f64 b a) (+.f64 2 (/.f64 a b)))
(+.f64 2 (+.f64 (/.f64 b a) (/.f64 a b)))
(+.f64 (/.f64 b a) (+.f64 2 (/.f64 a b)))
(+.f64 2 (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 a b)
(+.f64 2 (/.f64 a b))
(+.f64 (/.f64 b a) (+.f64 2 (/.f64 a b)))
(+.f64 2 (+.f64 (/.f64 b a) (/.f64 a b)))
(+.f64 (/.f64 b a) (+.f64 2 (/.f64 a b)))
(+.f64 2 (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 a b)
(+.f64 2 (/.f64 a b))
(+.f64 (/.f64 b a) (+.f64 2 (/.f64 a b)))
(+.f64 2 (+.f64 (/.f64 b a) (/.f64 a b)))
(+.f64 (/.f64 b a) (+.f64 2 (/.f64 a b)))
(+.f64 2 (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 b a)
(+.f64 (/.f64 b a) 2)
(+.f64 2 (/.f64 b a))
(+.f64 (/.f64 b a) (+.f64 2 (/.f64 a b)))
(+.f64 2 (+.f64 (/.f64 b a) (/.f64 a b)))
(+.f64 (/.f64 b a) (+.f64 2 (/.f64 a b)))
(+.f64 2 (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 b a)
(+.f64 (/.f64 b a) 2)
(+.f64 2 (/.f64 b a))
(+.f64 (/.f64 b a) (+.f64 2 (/.f64 a b)))
(+.f64 2 (+.f64 (/.f64 b a) (/.f64 a b)))
(+.f64 (/.f64 b a) (+.f64 2 (/.f64 a b)))
(+.f64 2 (+.f64 (/.f64 b a) (/.f64 a b)))
(/.f64 (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 b) (.f64 -1/2 b))) a)
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(/.f64 (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 b) (.f64 -1/2 b))) a)
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(/.f64 (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 b) (.f64 -1/2 b))) a)
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(/.f64 (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 b) (.f64 -1/2 b))) a)
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(/.f64 (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 b) (.f64 -1/2 b))) a)
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(/.f64 (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 b) (.f64 -1/2 b))) a)
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(/.f64 (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 b) (.f64 -1/2 b))) a)
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(/.f64 (+.f64 (/.f64 1 eps) (+.f64 (.f64 1/2 b) (.f64 -1/2 b))) a)
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/2 b) (*.f64 -1/2 b)) (/.f64 1 eps)) a))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/2 b) (*.f64 -1/2 b)) (/.f64 1 eps)) a))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/2 b) (*.f64 -1/2 b)) (/.f64 1 eps)) a))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/2 b) (*.f64 -1/2 b)) (/.f64 1 eps)) a))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(/.f64 (+.f64 (.f64 1/2 a) (.f64 -1/2 a)) b)
(.f64 (.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)) 0) eps)
(*.f64 eps 0)
0
(+.f64 (.f64 1/2 (/.f64 a b)) (+.f64 (/.f64 1 (.f64 eps a)) (*.f64 -1/2 (/.f64 a b))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 1/2 (/.f64 a b)) (+.f64 (/.f64 1 (.f64 eps a)) (*.f64 -1/2 (/.f64 a b))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 1/2 (/.f64 a b)) (+.f64 (/.f64 1 (.f64 eps a)) (*.f64 -1/2 (/.f64 a b))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(/.f64 1 (*.f64 eps a))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 1/2 (/.f64 a b)) (+.f64 (.f64 -1/2 (/.f64 a b)) (/.f64 1 (*.f64 eps a))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 1/2 (/.f64 a b)) (+.f64 (.f64 -1/2 (/.f64 a b)) (/.f64 1 (*.f64 eps a))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 1/2 (/.f64 a b)) (+.f64 (.f64 -1/2 (/.f64 a b)) (/.f64 1 (*.f64 eps a))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(/.f64 1 (*.f64 eps a))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 a) (.f64 -1/2 a)) b)) (/.f64 1 (.f64 eps a)))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 a) (.f64 -1/2 a)) b)) (/.f64 1 (.f64 eps a)))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 a) (.f64 -1/2 a)) b)) (/.f64 1 (.f64 eps a)))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(/.f64 1 (*.f64 eps a))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 1 (*.f64 eps a))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 1 (*.f64 eps a))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 1 (*.f64 eps a))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))))
(.f64 (.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)) 0) eps)
(*.f64 eps 0)
0
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 1 (*.f64 eps a))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 1 (*.f64 eps a))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 1 (*.f64 eps a))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))))
(.f64 (.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)) 0) eps)
(*.f64 eps 0)
0
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 1 (*.f64 eps a))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 1 (*.f64 eps a))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 1 (*.f64 eps a))))
(/.f64 (+.f64 (/.f64 1 eps) (*.f64 b 0)) a)
(/.f64 (+.f64 (/.f64 1 eps) 0) a)
(/.f64 1 (*.f64 a eps))

eval590.0ms (3.2%)

Compiler: Compiled 15539 to 7586 computations (51.2% saved)

prune142.0ms (0.8%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	538	10	548
Fresh	3	2	5
Picked	1	0	1
Done	1	3	4
Total	543	15	558

Error

Counts

558 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.9b	(/.f64 (/.f64 (+.f64 a b) a) b)
	61.7b	(.f64 eps (pow.f64 (pow.f64 (/.f64 1 (.f64 eps a)) 3) 1/3))
	51.6b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	12.2b	(/.f64 (+.f64 a b) (*.f64 a b))
	34.2b	(/.f64 (/.f64 eps a) eps)
	37.9b	(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) b) (/.f64 (sqrt.f64 (+.f64 a b)) a))
▶	3.1b	(+.f64 (/.f64 1 b) (/.f64 1 a))
▶	10.5b	(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
▶	2.8b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
✓	48.8b	(.f64 eps (/.f64 1 (.f64 eps a)))
	61.7b	0
▶	32.9b	(/.f64 1 b)
▶	41.3b	(/.f64 (/.f64 b a) b)
✓	33.4b	(/.f64 1 a)
	47.7b	(/.f64 eps (*.f64 eps a))

Compiler

Compiled 280 to 186 computations (33.6% saved)

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

series9.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite129.0ms (0.7%)

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	26
1	244	22
2	3517	22

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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

simplify31.0ms (0.2%)

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	604
1	28	604
2	33	604

Stop Event

1×

saturated

Counts

207 → 158

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)))
(/.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))

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

localize7.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.3b	(/.f64 (/.f64 b a) b)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 (/.f64 b a) b)
0.0ms	b	@	-inf	(/.f64 (/.f64 b a) b)
0.0ms	b	@	inf	(/.f64 (/.f64 b a) b)
0.0ms	a	@	inf	(/.f64 (/.f64 b a) b)
0.0ms	a	@	-inf	(/.f64 (/.f64 b a) b)

rewrite170.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`pow1_binary64`
637×	`add-log-exp_binary64`
637×	`log1p-expm1-u_binary64`
637×	`expm1-log1p-u_binary64`
622×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1665	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96
1	6	96

Stop Event

1×

saturated

Counts

62 → 39

Calls

Call 1

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

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

localize27.0ms (0.1%)

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
1.0ms	b	@	0	(+.f64 (/.f64 1 b) (/.f64 1 a))
0.0ms	b	@	inf	(+.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))

rewrite80.0ms (0.4%)

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))))))

simplify9.0ms (0%)

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))

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 a (+.f64 a b))
✓	0.0b	(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
✓	7.0b	(*.f64 b (/.f64 a (+.f64 a b)))

Compiler

Compiled 30 to 9 computations (70% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
2.0ms	b	@	0	(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
1.0ms	b	@	-inf	(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
1.0ms	b	@	inf	(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
1.0ms	a	@	inf	(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`prod-diff_binary64`
472×	`log-prod_binary64`
313×	`pow-prod-down_binary64`
244×	`pow2_binary64`
184×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	182	27
2	2631	27

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

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

Outputs

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

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

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

simplify145.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-neg_binary64`
541×	`fma-def_binary64`
342×	`associate-+l+_binary64`
317×	`times-frac_binary64`
264×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1164
1	309	1086
2	1264	987
3	5391	942

Stop Event

1×	node limit

Counts

185 → 152

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

Outputs
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) b)
(fma.f64 -1 (/.f64 (*.f64 b b) a) b)
(-.f64 b (/.f64 b (/.f64 a b)))
(-.f64 b (*.f64 (/.f64 b a) b))
(+.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 (pow.f64 b 3) (*.f64 a a))) (/.f64 b (/.f64 a b)))
(+.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))))
(+.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 b (/.f64 (pow.f64 b 3) (.f64 a a))) (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 b (/.f64 a b)))
(+.f64 b (-.f64 (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))) (/.f64 b (pow.f64 (/.f64 a b) 3))))
(-.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 1 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b 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 a (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (/.f64 (pow.f64 a 3) (pow.f64 b 2))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 a a) b) a) (/.f64 (pow.f64 a 3) (.f64 b b)))
(-.f64 (+.f64 a (/.f64 (pow.f64 a 3) (*.f64 b b))) (/.f64 a (/.f64 b a)))
(+.f64 a (.f64 (.f64 (/.f64 a b) a) (+.f64 (/.f64 a b) -1)))
(+.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 (/.f64 a b) a) (+.f64 (/.f64 a b) -1)) (*.f64 (pow.f64 (/.f64 a b) 3) a)))
(+.f64 a (.f64 (.f64 (/.f64 a b) a) (+.f64 -1 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a 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 a (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (/.f64 (pow.f64 a 3) (pow.f64 b 2))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 a a) b) a) (/.f64 (pow.f64 a 3) (.f64 b b)))
(-.f64 (+.f64 a (/.f64 (pow.f64 a 3) (*.f64 b b))) (/.f64 a (/.f64 b a)))
(+.f64 a (.f64 (.f64 (/.f64 a b) a) (+.f64 (/.f64 a b) -1)))
(+.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 (/.f64 a b) a) (+.f64 (/.f64 a b) -1)) (*.f64 (pow.f64 (/.f64 a b) 3) a)))
(+.f64 a (.f64 (.f64 (/.f64 a b) a) (+.f64 -1 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a 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 a (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (/.f64 (pow.f64 a 3) (pow.f64 b 2))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 a a) b) a) (/.f64 (pow.f64 a 3) (.f64 b b)))
(-.f64 (+.f64 a (/.f64 (pow.f64 a 3) (*.f64 b b))) (/.f64 a (/.f64 b a)))
(+.f64 a (.f64 (.f64 (/.f64 a b) a) (+.f64 (/.f64 a b) -1)))
(+.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 (/.f64 a b) a) (+.f64 (/.f64 a b) -1)) (*.f64 (pow.f64 (/.f64 a b) 3) a)))
(+.f64 a (.f64 (.f64 (/.f64 a b) a) (+.f64 -1 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)))))
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) b)
(fma.f64 -1 (/.f64 (*.f64 b b) a) b)
(-.f64 b (/.f64 b (/.f64 a b)))
(-.f64 b (*.f64 (/.f64 b a) b))
(+.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 (pow.f64 b 3) (*.f64 a a))) (/.f64 b (/.f64 a b)))
(+.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))))
(+.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 b (/.f64 (pow.f64 b 3) (.f64 a a))) (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 b (/.f64 a b)))
(+.f64 b (-.f64 (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))) (/.f64 b (pow.f64 (/.f64 a b) 3))))
(-.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 1 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))))))
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) b)
(fma.f64 -1 (/.f64 (*.f64 b b) a) b)
(-.f64 b (/.f64 b (/.f64 a b)))
(-.f64 b (*.f64 (/.f64 b a) b))
(+.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 (pow.f64 b 3) (*.f64 a a))) (/.f64 b (/.f64 a b)))
(+.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))))
(+.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 b (/.f64 (pow.f64 b 3) (.f64 a a))) (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 b (/.f64 a b)))
(+.f64 b (-.f64 (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))) (/.f64 b (pow.f64 (/.f64 a b) 3))))
(-.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 1 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b 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 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (+.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 2))) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (.f64 -1 a)) a))) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 2))) (/.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 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 2))) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (+.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 2))) (+.f64 (/.f64 1 a) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (pow.f64 b 3))) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))))))
(+.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 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 2))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 b 2) (.f64 (+.f64 b (.f64 -1 b)) b))) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 2))) (+.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 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 2))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 2))) (+.f64 (/.f64 1 a) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 3))) (/.f64 1 b))))))
(+.f64 (/.f64 (.f64 b b) (pow.f64 a 3)) (fma.f64 -1 (/.f64 (.f64 b (.f64 0 b)) (pow.f64 a 3)) (fma.f64 -1 (/.f64 (.f64 0 b) (.f64 a a)) (+.f64 (/.f64 1 a) (fma.f64 -1 (/.f64 (.f64 b b) (pow.f64 a 3)) (/.f64 1 b))))))
(+.f64 (/.f64 0 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 0 (*.f64 a a)) (+.f64 (/.f64 1 a) (-.f64 (/.f64 1 b) (/.f64 b (/.f64 (pow.f64 a 3) b))))) (/.f64 b (/.f64 (pow.f64 a 3) b))))
(+.f64 (/.f64 1 b) (+.f64 (-.f64 (/.f64 1 a) (.f64 (/.f64 b (pow.f64 a 3)) b)) (.f64 (/.f64 b (pow.f64 a 3)) b)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 0 (.f64 (/.f64 b (pow.f64 a 3)) b)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (/.f64 a b) (/.f64 (neg.f64 (.f64 a a)) (.f64 b b)))
(-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))
(*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b))
(+.f64 (/.f64 a b) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))
(+.f64 (/.f64 a b) (fma.f64 -1 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))
(+.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 a b) (/.f64 a b))))
(+.f64 (/.f64 a b) (-.f64 (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a b) (/.f64 a b))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)) (pow.f64 (/.f64 a b) 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (/.f64 a b) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (+.f64 (/.f64 a b) (fma.f64 -1 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(-.f64 (+.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 a b) (/.f64 a b)))) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (/.f64 a b) (-.f64 (-.f64 (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a b) (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)) (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 a b) 4)))
1
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (/.f64 (neg.f64 b) a))
(-.f64 1 (/.f64 b a))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 b a))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 (.f64 b b) (.f64 a a))))
(+.f64 1 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b a)))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 -1 (/.f64 b a)))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 (.f64 b b) (.f64 a a)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))) (pow.f64 (/.f64 b a) 3)))
(fma.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a)) (-.f64 1 (pow.f64 (/.f64 b a) 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (/.f64 (neg.f64 b) a))
(-.f64 1 (/.f64 b a))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 b a))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 (.f64 b b) (.f64 a a))))
(+.f64 1 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b a)))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 -1 (/.f64 b a)))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 (.f64 b b) (.f64 a a)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))) (pow.f64 (/.f64 b a) 3)))
(fma.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a)) (-.f64 1 (pow.f64 (/.f64 b a) 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (/.f64 (neg.f64 b) a))
(-.f64 1 (/.f64 b a))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 b a))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 (.f64 b b) (.f64 a a))))
(+.f64 1 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b a)))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 -1 (/.f64 b a)))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 (.f64 b b) (.f64 a a)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))) (pow.f64 (/.f64 b a) 3)))
(fma.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a)) (-.f64 1 (pow.f64 (/.f64 b a) 3)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (/.f64 a b) (/.f64 (neg.f64 (.f64 a a)) (.f64 b b)))
(-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))
(*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b))
(+.f64 (/.f64 a b) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))
(+.f64 (/.f64 a b) (fma.f64 -1 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))
(+.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 a b) (/.f64 a b))))
(+.f64 (/.f64 a b) (-.f64 (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a b) (/.f64 a b))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)) (pow.f64 (/.f64 a b) 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (/.f64 a b) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (+.f64 (/.f64 a b) (fma.f64 -1 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(-.f64 (+.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 a b) (/.f64 a b)))) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (/.f64 a b) (-.f64 (-.f64 (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a b) (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)) (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 a b) 4)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (/.f64 a b) (/.f64 (neg.f64 (.f64 a a)) (.f64 b b)))
(-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))
(*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b))
(+.f64 (/.f64 a b) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))
(+.f64 (/.f64 a b) (fma.f64 -1 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))
(+.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 a b) (/.f64 a b))))
(+.f64 (/.f64 a b) (-.f64 (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a b) (/.f64 a b))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)) (pow.f64 (/.f64 a b) 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (/.f64 a b) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (+.f64 (/.f64 a b) (fma.f64 -1 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(-.f64 (+.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 a b) (/.f64 a b)))) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (/.f64 a b) (-.f64 (-.f64 (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a b) (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)) (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 a b) 4)))

eval245.0ms (1.3%)

Compiler: Compiled 6031 to 3663 computations (39.3% saved)

prune127.0ms (0.7%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	388	9	397
Fresh	2	5	7
Picked	1	0	1
Done	3	4	7
Total	394	18	412

Error

Counts

412 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.6b	(/.f64 (+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (.f64 a (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
	19.4b	(+.f64 (/.f64 1 a) (.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps)))))
▶	62.0b	(*.f64 -1/2 eps)
	61.7b	0
	51.6b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	33.3b	(fma.f64 (*.f64 -1/2 (sqrt.f64 eps)) (sqrt.f64 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
	34.2b	(/.f64 (/.f64 eps a) eps)
	37.9b	(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) b) (/.f64 (sqrt.f64 (+.f64 a b)) a))
✓	3.1b	(+.f64 (/.f64 1 b) (/.f64 1 a))
✓	41.3b	(/.f64 (/.f64 b a) b)
	19.4b	(+.f64 (/.f64 1 a) (exp.f64 (log.f64 (fma.f64 eps -1/2 (/.f64 1 b)))))
	47.7b	(/.f64 eps (*.f64 eps a))
	8.4b	(/.f64 (/.f64 (+.f64 a b) b) a)
▶	3.9b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
▶	52.4b	(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)
▶	33.1b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
✓	32.9b	(/.f64 1 b)
✓	33.4b	(/.f64 1 a)

Compiler

Compiled 434 to 309 computations (28.8% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 eps -1/2 (/.f64 1 b))
✓	0.0b	(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
✓	0.5b	(cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))
✓	0.7b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)

Compiler

Compiled 55 to 39 computations (29.1% saved)

series206.0ms (1.1%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
157.0ms	b	@	inf	(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
17.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
6.0ms	eps	@	0	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
4.0ms	a	@	inf	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
4.0ms	b	@	inf	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`prod-diff_binary64`
513×	`log-prod_binary64`
309×	`pow2_binary64`
235×	`fma-def_binary64`
214×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	280	52
2	3194	52

Stop Event

1×	node limit

Counts

4 → 185

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
(cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(fma.f64 eps -1/2 (/.f64 1 b))

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

simplify270.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

736×	`times-frac_binary64`
721×	`distribute-rgt-in_binary64`
494×	`fma-def_binary64`
335×	`associate-r_binary64`
299×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	6866
1	1410	5900
2	5150	5550

Stop Event

1×	node limit

Counts

285 → 198

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) (pow.f64 a 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))))))))
(+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (/.f64 (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3))))))) (pow.f64 a 3))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/9) (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) (pow.f64 a 3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)))) (pow.f64 a 3)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) (pow.f64 a 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))))))))))))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))
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(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/9) (/.f64 1 a))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 7)) 1/9) (/.f64 1 (pow.f64 a 2))))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/9) (/.f64 1 a))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 7)) 1/9) (/.f64 1 (pow.f64 a 2)))) (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)))) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3))))))
(pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/3)
(+.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/3) (.f64 -1/6 (.f64 eps (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) 1/9))))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 4)) 1/9) (pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3)))) (+.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/3) (.f64 -1/6 (*.f64 eps (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) 1/9)))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/108 (pow.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 5))) 1/9)) (+.f64 (.f64 -1/216 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)) 1/3)) (.f64 1/54 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 5) (+.f64 (/.f64 1 b) (/.f64 1 a)))) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) 1/3))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 4)) 1/9) (pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3)))) (+.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/3) (.f64 -1/6 (*.f64 eps (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) 1/9))))))
(pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 1/3)
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 7)) 1/9) (/.f64 1 (pow.f64 b 2))))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))) (+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (pow.f64 b 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 7)) 1/9) (/.f64 1 (pow.f64 b 2)))))))
(pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 1/3)
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 7)) 1/9) (/.f64 1 (pow.f64 b 2))))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3) (/.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (pow.f64 b 3)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 7)) 1/9) (/.f64 1 (pow.f64 b 2)))))))
(/.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 (/.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 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 -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 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 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))

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

localize3.0ms (0%)

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series2.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
777×	`add-log-exp_binary64`
777×	`log1p-expm1-u_binary64`
777×	`expm1-log1p-u_binary64`
761×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	170	8
2	2160	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	10	24

Stop Event

1×

saturated

Counts

41 → 37

Calls

Call 1

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

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

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps)))))
✓	0.2b	(.f64 a (+.f64 (/.f64 1 b) (.f64 1/2 eps)))
✓	5.1b	(.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (*.f64 eps eps))))
✓	20.0b	(/.f64 (+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (.f64 a (+.f64 (/.f64 1 b) (.f64 1/2 eps))))

Compiler

Compiled 111 to 69 computations (37.8% saved)

series41.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
18.0ms	a	@	0	(/.f64 (+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (.f64 a (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
2.0ms	a	@	inf	(/.f64 (+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (.f64 a (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
1.0ms	a	@	-inf	(/.f64 (+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (.f64 a (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
1.0ms	b	@	inf	(/.f64 (+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (.f64 a (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
1.0ms	b	@	-inf	(/.f64 (+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (.f64 a (+.f64 (/.f64 1 b) (.f64 1/2 eps))))

rewrite244.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`fma-neg_binary64`
358×	`expm1-udef_binary64`
358×	`log1p-udef_binary64`
219×	`add-sqr-sqrt_binary64`
211×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	100
1	436	88
2	6329	88

Stop Event

1×	node limit

Counts

4 → 128

Calls

Call 1

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

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

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

554×	`times-frac_binary64`
515×	`associate-+l+_binary64`
482×	`associate-l_binary64`
458×	`associate-r_binary64`
405×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	3796
1	646	3661
2	2204	3523

Stop Event

1×	node limit

Counts

272 → 197

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 eps -1/2 (/.f64 1 b))
	0.0b	(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
✓	0.2b	(pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3)
✓	36.1b	(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)

Compiler

Compiled 58 to 42 computations (27.6% saved)

series40.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	-inf	(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)
6.0ms	eps	@	0	(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)
3.0ms	eps	@	inf	(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)
3.0ms	b	@	inf	(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)
3.0ms	a	@	inf	(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`prod-diff_binary64`
539×	`log-prod_binary64`
332×	`pow2_binary64`
237×	`fma-def_binary64`
229×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	310	31
2	3434	31

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)
(pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3)

Outputs

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

simplify231.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

539×	`fma-def_binary64`
410×	`associate-+r+_binary64`
342×	`associate-+l+_binary64`
338×	`distribute-lft-in_binary64`
338×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	484	6658
1	1873	5417
2	7644	5358

Stop Event

1×	node limit

Counts

166 → 217

Calls

Call 1

Inputs
(/.f64 1 a)
(+.f64 (.f64 1/3 (+.f64 (.f64 3 (/.f64 1 b)) (+.f64 (.f64 -1/2 eps) (.f64 -1 eps)))) (/.f64 1 a))
(+.f64 (.f64 1/3 (.f64 a (-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 1/3 (pow.f64 (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 eps) (.f64 3 (/.f64 1 b)))) 2))))) (+.f64 (.f64 1/3 (+.f64 (.f64 3 (/.f64 1 b)) (+.f64 (.f64 -1/2 eps) (*.f64 -1 eps)))) (/.f64 1 a)))
(+.f64 (.f64 1/3 (.f64 a (-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 1/3 (pow.f64 (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 eps) (.f64 3 (/.f64 1 b)))) 2))))) (+.f64 (.f64 1/3 (+.f64 (.f64 3 (/.f64 1 b)) (+.f64 (.f64 -1/2 eps) (.f64 -1 eps)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 a 2) (-.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 3) (+.f64 (.f64 2/3 (.f64 (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 eps) (.f64 3 (/.f64 1 b)))) (-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 1/3 (pow.f64 (+.f64 (.f64 3 (/.f64 1 b)) (+.f64 (.f64 -1 eps) (.f64 -1/2 eps))) 2))))) (.f64 1/27 (pow.f64 (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 eps) (.f64 3 (/.f64 1 b)))) 3)))))) (/.f64 1 a))))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3) (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) a))) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3) (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) a))) (+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 3 (/.f64 1 b)) (+.f64 (.f64 -1 eps) (.f64 -1/2 eps))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 2)))) (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 2)))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3) (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) a))) (+.f64 (.f64 1/3 (/.f64 (-.f64 1 (+.f64 (.f64 2/3 (.f64 (.f64 (-.f64 (+.f64 (.f64 3 (/.f64 1 b)) (+.f64 (.f64 -1/2 eps) (.f64 -1 eps))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 2)))) (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 5)) 1/3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 3) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2))))) (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)))) (+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 3 (/.f64 1 b)) (+.f64 (.f64 -1 eps) (.f64 -1/2 eps))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 2)))) (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 2))))))))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2))) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2))) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 2 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2))) 2) (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3)))) (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)))) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b))))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2))) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 2 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2))) 2) (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3)))) (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 1 (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2))) 3) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2))) (.f64 2/3 (.f64 (.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2))) (-.f64 (+.f64 (.f64 2 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2))) 2) (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 5)) 1/3))))) (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))))
(pow.f64 (*.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)) 1/3)
(+.f64 (.f64 1/3 (.f64 (.f64 eps (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 4))) 1/9))) (pow.f64 (.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)) 1/3))
(+.f64 (.f64 1/3 (.f64 (.f64 eps (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 4))) 1/9))) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)) 1/3) (.f64 1/3 (.f64 (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 1/4 (+.f64 (/.f64 1 b) (/.f64 1 a)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 5)) 1/9) (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 b)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2))) 2))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 4))) 1/3)))))
(+.f64 (.f64 1/3 (.f64 (.f64 eps (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 4))) 1/9))) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 1/4 (+.f64 (/.f64 1 b) (/.f64 1 a)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 5)) 1/9) (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 b)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2))) 2))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 4))) 1/3))) (.f64 -1/3 (.f64 (.f64 (+.f64 1/8 (+.f64 (.f64 2/3 (.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 1/4 (+.f64 (/.f64 1 a) (/.f64 1 b)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 5)) 1/9) (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2))) 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 b)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 13) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2))) 1/9))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 4))) 1/3) (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 b)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2))) 3))))) (pow.f64 eps 3)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 4))) 1/3))))))
(*.f64 eps (cbrt.f64 -1/8))
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(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 1/4 (+.f64 (/.f64 1 a) (/.f64 1 b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 b)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)))) (.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 1/4 (+.f64 (/.f64 1 a) (/.f64 1 b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 b)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)))) (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (+.f64 (/.f64 1 a) (/.f64 1 b))) (*.f64 -1/8 (pow.f64 eps 3)))))
(*.f64 -1/8 (pow.f64 eps 3))
(+.f64 (.f64 -1/8 (pow.f64 eps 3)) (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 1/4 (+.f64 (/.f64 1 b) (/.f64 1 a))))))
(+.f64 (.f64 eps (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)))) (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 1/4 (+.f64 (/.f64 1 b) (/.f64 1 a)))))))
(+.f64 (.f64 eps (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)))) (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 1/4 (+.f64 (/.f64 1 b) (/.f64 1 a))))) (*.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 b) (/.f64 1 a))))))
(*.f64 -1/8 (pow.f64 eps 3))
(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 1/4 (+.f64 (/.f64 1 a) (/.f64 1 b)))) (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 3)))
(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 1/4 (+.f64 (/.f64 1 a) (/.f64 1 b)))) (pow.f64 eps 2)) (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 1/2 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2))))) (.f64 -1/8 (pow.f64 eps 3))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 1/4 (+.f64 (/.f64 1 a) (/.f64 1 b)))) (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (+.f64 (/.f64 1 a) (/.f64 1 b))) (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 1/2 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2))))) (*.f64 -1/8 (pow.f64 eps 3)))))
(/.f64 1 (pow.f64 b 3))
(+.f64 (/.f64 3 (.f64 a (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 1 (pow.f64 b 3)) (*.f64 -1/2 (/.f64 eps (pow.f64 b 2))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 a)))) b) (+.f64 (.f64 -1 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 1 (pow.f64 b 3)) (+.f64 (.f64 -1/2 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2) b) (.f64 3 (/.f64 1 (*.f64 a (pow.f64 b 2)))))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 a)))) b) (+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (+.f64 (.f64 -1 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 1 (pow.f64 b 3)) (+.f64 (.f64 -1/2 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2) b) (.f64 3 (/.f64 1 (.f64 a (pow.f64 b 2))))))))))
(pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 3)
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 a)))) b) (+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (/.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2) b)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 a)))) b) (+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (+.f64 (.f64 -1 (/.f64 eps (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2) b) (.f64 3 (/.f64 1 (.f64 a (pow.f64 b 2)))))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 a)))) b) (+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (+.f64 (.f64 -1 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 1 (pow.f64 b 3)) (+.f64 (.f64 -1/2 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2) b) (.f64 3 (/.f64 1 (.f64 a (pow.f64 b 2))))))))))
(pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 3)
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2))) b)))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2))) b)) (+.f64 (.f64 -1/2 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 1 (.f64 a (pow.f64 b 2))) (.f64 2 (/.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (pow.f64 b 2)))))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2))) b)) (+.f64 (/.f64 1 (pow.f64 b 3)) (+.f64 (.f64 -1/2 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 1 (.f64 a (pow.f64 b 2))) (.f64 2 (/.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (pow.f64 b 2))))))))

Outputs
(/.f64 1 a)
(+.f64 (.f64 1/3 (+.f64 (.f64 3 (/.f64 1 b)) (+.f64 (.f64 -1/2 eps) (.f64 -1 eps)))) (/.f64 1 a))
(fma.f64 1/3 (+.f64 (/.f64 3 b) (*.f64 eps -3/2)) (/.f64 1 a))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (.f64 1/3 (.f64 a (-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 1/3 (pow.f64 (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 eps) (.f64 3 (/.f64 1 b)))) 2))))) (+.f64 (.f64 1/3 (+.f64 (.f64 3 (/.f64 1 b)) (+.f64 (.f64 -1/2 eps) (*.f64 -1 eps)))) (/.f64 1 a)))
(fma.f64 1/3 (.f64 a (+.f64 (fma.f64 (fma.f64 -1 eps (/.f64 2 b)) (fma.f64 -1/2 eps (/.f64 1 b)) (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 2)) (.f64 -1/3 (pow.f64 (+.f64 (/.f64 3 b) (.f64 eps -3/2)) 2)))) (fma.f64 1/3 (+.f64 (/.f64 3 b) (.f64 eps -3/2)) (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 (.f64 a 1/3) (+.f64 (.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 3 (fma.f64 -1/2 eps (/.f64 1 b)))) (.f64 (pow.f64 (fma.f64 eps -3/2 (/.f64 3 b)) 2) -1/3)) (fma.f64 -1/2 eps (/.f64 1 b))))
(+.f64 (/.f64 1 a) (fma.f64 (.f64 a 1/3) (fma.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 3 (fma.f64 -1/2 eps (/.f64 1 b))) (*.f64 (pow.f64 (fma.f64 eps -3/2 (/.f64 3 b)) 2) -1/3)) (fma.f64 -1/2 eps (/.f64 1 b))))
(+.f64 (.f64 1/3 (.f64 a (-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 1/3 (pow.f64 (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 eps) (.f64 3 (/.f64 1 b)))) 2))))) (+.f64 (.f64 1/3 (+.f64 (.f64 3 (/.f64 1 b)) (+.f64 (.f64 -1/2 eps) (.f64 -1 eps)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 a 2) (-.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 3) (+.f64 (.f64 2/3 (.f64 (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 eps) (.f64 3 (/.f64 1 b)))) (-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) (.f64 1/3 (pow.f64 (+.f64 (.f64 3 (/.f64 1 b)) (+.f64 (.f64 -1 eps) (.f64 -1/2 eps))) 2))))) (.f64 1/27 (pow.f64 (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 eps) (.f64 3 (/.f64 1 b)))) 3)))))) (/.f64 1 a))))
(fma.f64 1/3 (.f64 a (+.f64 (fma.f64 (fma.f64 -1 eps (/.f64 2 b)) (fma.f64 -1/2 eps (/.f64 1 b)) (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 2)) (.f64 -1/3 (pow.f64 (+.f64 (/.f64 3 b) (.f64 eps -3/2)) 2)))) (fma.f64 1/3 (+.f64 (/.f64 3 b) (.f64 eps -3/2)) (fma.f64 1/3 (.f64 (.f64 a a) (-.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 3) (fma.f64 2/3 (.f64 (+.f64 (/.f64 3 b) (.f64 eps -3/2)) (+.f64 (fma.f64 (fma.f64 -1 eps (/.f64 2 b)) (fma.f64 -1/2 eps (/.f64 1 b)) (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 2)) (.f64 -1/3 (pow.f64 (+.f64 (/.f64 3 b) (.f64 eps -3/2)) 2)))) (.f64 1/27 (pow.f64 (+.f64 (/.f64 3 b) (.f64 eps -3/2)) 3))))) (/.f64 1 a))))
(+.f64 (fma.f64 1/3 (.f64 a (.f64 a (-.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 3) (fma.f64 2/3 (.f64 (fma.f64 eps -3/2 (/.f64 3 b)) (+.f64 (.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 3 (fma.f64 -1/2 eps (/.f64 1 b)))) (.f64 (pow.f64 (fma.f64 eps -3/2 (/.f64 3 b)) 2) -1/3))) (.f64 1/27 (pow.f64 (fma.f64 eps -3/2 (/.f64 3 b)) 3)))))) (/.f64 1 a)) (fma.f64 (.f64 a 1/3) (+.f64 (.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 3 (fma.f64 -1/2 eps (/.f64 1 b)))) (*.f64 (pow.f64 (fma.f64 eps -3/2 (/.f64 3 b)) 2) -1/3)) (fma.f64 -1/2 eps (/.f64 1 b))))
(+.f64 (fma.f64 1/3 (.f64 a (.f64 a (-.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 3) (fma.f64 (.f64 (fma.f64 eps -3/2 (/.f64 3 b)) 2/3) (fma.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 3 (fma.f64 -1/2 eps (/.f64 1 b))) (.f64 (pow.f64 (fma.f64 eps -3/2 (/.f64 3 b)) 2) -1/3)) (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 3))))) (/.f64 1 a)) (fma.f64 (.f64 a 1/3) (fma.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 3 (fma.f64 -1/2 eps (/.f64 1 b))) (.f64 (pow.f64 (fma.f64 eps -3/2 (/.f64 3 b)) 2) -1/3)) (fma.f64 -1/2 eps (/.f64 1 b))))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3) (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) a))) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 2))) (/.f64 (fma.f64 (fma.f64 -1 eps (/.f64 2 b)) (fma.f64 -1/2 eps (/.f64 1 b)) (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 2)) a)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 2))) (/.f64 (.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (*.f64 3 (fma.f64 -1/2 eps (/.f64 1 b)))) a)) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3) (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) a))) (+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 3 (/.f64 1 b)) (+.f64 (.f64 -1 eps) (.f64 -1/2 eps))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 b))) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 2)))) (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 2)))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 2))) (/.f64 (fma.f64 (fma.f64 -1 eps (/.f64 2 b)) (fma.f64 -1/2 eps (/.f64 1 b)) (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 2)) a)) (+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 1/3 (/.f64 (+.f64 (+.f64 (/.f64 3 b) (.f64 eps -3/2)) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/2 eps (/.f64 1 b)))) (pow.f64 (fma.f64 (fma.f64 -1 eps (/.f64 2 b)) (fma.f64 -1/2 eps (/.f64 1 b)) (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 2)) 2)))) (.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 2) (*.f64 a a))))))
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(*.f64 -1/8 (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) -1/8)
(+.f64 (.f64 -1/8 (pow.f64 eps 3)) (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 1/4 (+.f64 (/.f64 1 b) (/.f64 1 a))))))
(fma.f64 (fma.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b)) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/4)) (.f64 eps eps) (*.f64 (pow.f64 eps 3) -1/8))
(fma.f64 (.f64 eps eps) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 3/4) (*.f64 (pow.f64 eps 3) -1/8))
(+.f64 (.f64 eps (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)))) (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 1/4 (+.f64 (/.f64 1 b) (/.f64 1 a)))))))
(fma.f64 eps (fma.f64 -1 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2))) (fma.f64 (fma.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b)) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/4)) (.f64 eps eps) (.f64 (pow.f64 eps 3) -1/8)))
(fma.f64 eps (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) -3/2) (fma.f64 (.f64 eps eps) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 3/4) (.f64 (pow.f64 eps 3) -1/8)))
(+.f64 (.f64 eps (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a)))) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)))) (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 1/4 (+.f64 (/.f64 1 b) (/.f64 1 a))))) (*.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 b) (/.f64 1 a))))))
(fma.f64 (fma.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b)) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/4)) (.f64 eps eps) (fma.f64 eps (fma.f64 -1 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (.f64 -1/2 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2))) (fma.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 a) (/.f64 1 b)) (.f64 (pow.f64 eps 3) -1/8))))
(fma.f64 eps (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) -3/2) (fma.f64 (pow.f64 eps 3) -1/8 (fma.f64 (.f64 eps eps) (*.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 3/4) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 3))))
(*.f64 -1/8 (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) -1/8)
(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 1/4 (+.f64 (/.f64 1 a) (/.f64 1 b)))) (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 3)))
(fma.f64 (fma.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b)) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/4)) (.f64 eps eps) (*.f64 (pow.f64 eps 3) -1/8))
(fma.f64 (.f64 eps eps) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 3/4) (*.f64 (pow.f64 eps 3) -1/8))
(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 1/4 (+.f64 (/.f64 1 a) (/.f64 1 b)))) (pow.f64 eps 2)) (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 1/2 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2))))) (.f64 -1/8 (pow.f64 eps 3))))
(fma.f64 (fma.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b)) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/4)) (.f64 eps eps) (fma.f64 -1 (.f64 eps (+.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (.f64 1/2 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)))) (*.f64 (pow.f64 eps 3) -1/8)))
(fma.f64 (.f64 eps eps) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 3/4) (-.f64 (.f64 (pow.f64 eps 3) -1/8) (.f64 eps (*.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) 3/2))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 1/4 (+.f64 (/.f64 1 a) (/.f64 1 b)))) (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (+.f64 (/.f64 1 a) (/.f64 1 b))) (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 1/2 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2))))) (*.f64 -1/8 (pow.f64 eps 3)))))
(fma.f64 (fma.f64 1/2 (+.f64 (/.f64 1 a) (/.f64 1 b)) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/4)) (.f64 eps eps) (fma.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 a) (/.f64 1 b)) (fma.f64 -1 (.f64 eps (+.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (.f64 1/2 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)))) (*.f64 (pow.f64 eps 3) -1/8))))
(+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 3) (.f64 eps (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) 3/2))) (fma.f64 (.f64 eps eps) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 3/4) (*.f64 (pow.f64 eps 3) -1/8)))
(/.f64 1 (pow.f64 b 3))
(+.f64 (/.f64 3 (.f64 a (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 1 (pow.f64 b 3)) (*.f64 -1/2 (/.f64 eps (pow.f64 b 2))))))
(+.f64 (fma.f64 -1 (/.f64 eps (.f64 b b)) (+.f64 (/.f64 1 (pow.f64 b 3)) (/.f64 (.f64 -1/2 eps) (.f64 b b)))) (/.f64 3 (.f64 a (*.f64 b b))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 b 3)) (.f64 (/.f64 (/.f64 eps b) b) -3/2)) (/.f64 3 (.f64 a (*.f64 b b))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 a)))) b) (+.f64 (.f64 -1 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 1 (pow.f64 b 3)) (+.f64 (.f64 -1/2 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2) b) (.f64 3 (/.f64 1 (*.f64 a (pow.f64 b 2)))))))))
(+.f64 (/.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 b (fma.f64 -1 eps (/.f64 2 a)))) (fma.f64 -1 (/.f64 eps (.f64 b b)) (+.f64 (/.f64 1 (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 eps (.f64 b b)) (+.f64 (/.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) b) (/.f64 3 (.f64 a (.f64 b b))))))))
(+.f64 (.f64 (/.f64 (fma.f64 -1/2 eps (/.f64 1 a)) b) (-.f64 (/.f64 2 a) eps)) (+.f64 (/.f64 1 (pow.f64 b 3)) (+.f64 (+.f64 (.f64 (/.f64 (/.f64 eps b) b) -3/2) (/.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) b)) (/.f64 3 (.f64 a (.f64 b b))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 a)))) b) (+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (+.f64 (.f64 -1 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 1 (pow.f64 b 3)) (+.f64 (.f64 -1/2 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2) b) (.f64 3 (/.f64 1 (.f64 a (pow.f64 b 2))))))))))
(+.f64 (/.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 b (fma.f64 -1 eps (/.f64 2 a)))) (+.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (fma.f64 -1 (/.f64 eps (.f64 b b)) (+.f64 (/.f64 1 (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 eps (.f64 b b)) (+.f64 (/.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) b) (/.f64 3 (.f64 a (.f64 b b)))))))))
(+.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (+.f64 (.f64 (/.f64 (fma.f64 -1/2 eps (/.f64 1 a)) b) (-.f64 (/.f64 2 a) eps)) (+.f64 (/.f64 1 (pow.f64 b 3)) (+.f64 (+.f64 (.f64 (/.f64 (/.f64 eps b) b) -3/2) (/.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) b)) (/.f64 3 (.f64 a (.f64 b b)))))))
(pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 3)
(pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3)
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 a)))) b) (+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (/.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2) b)))
(+.f64 (/.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 b (fma.f64 -1 eps (/.f64 2 a)))) (+.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (/.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) b)))
(+.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (+.f64 (/.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) b) (*.f64 (/.f64 (fma.f64 -1/2 eps (/.f64 1 a)) b) (-.f64 (/.f64 2 a) eps))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 a)))) b) (+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (+.f64 (.f64 -1 (/.f64 eps (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2) b) (.f64 3 (/.f64 1 (.f64 a (pow.f64 b 2)))))))))
(+.f64 (/.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 b (fma.f64 -1 eps (/.f64 2 a)))) (+.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (fma.f64 -1 (/.f64 eps (.f64 b b)) (fma.f64 -1/2 (/.f64 eps (.f64 b b)) (+.f64 (/.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) b) (/.f64 3 (.f64 a (.f64 b b))))))))
(+.f64 (+.f64 (+.f64 (.f64 (/.f64 (/.f64 eps b) b) -3/2) (/.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) b)) (/.f64 3 (.f64 a (.f64 b b)))) (+.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (.f64 (/.f64 (fma.f64 -1/2 eps (/.f64 1 a)) b) (-.f64 (/.f64 2 a) eps))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (+.f64 (.f64 -1 eps) (.f64 2 (/.f64 1 a)))) b) (+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (+.f64 (.f64 -1 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 1 (pow.f64 b 3)) (+.f64 (.f64 -1/2 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2) b) (.f64 3 (/.f64 1 (.f64 a (pow.f64 b 2))))))))))
(+.f64 (/.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 b (fma.f64 -1 eps (/.f64 2 a)))) (+.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (fma.f64 -1 (/.f64 eps (.f64 b b)) (+.f64 (/.f64 1 (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 eps (.f64 b b)) (+.f64 (/.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) b) (/.f64 3 (.f64 a (.f64 b b)))))))))
(+.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (+.f64 (.f64 (/.f64 (fma.f64 -1/2 eps (/.f64 1 a)) b) (-.f64 (/.f64 2 a) eps)) (+.f64 (/.f64 1 (pow.f64 b 3)) (+.f64 (+.f64 (.f64 (/.f64 (/.f64 eps b) b) -3/2) (/.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) b)) (/.f64 3 (.f64 a (.f64 b b)))))))
(pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 3)
(pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3)
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2))) b)))
(+.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) -3) b)))
(-.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (/.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) (/.f64 b -3)))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2))) b)) (+.f64 (.f64 -1/2 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 1 (.f64 a (pow.f64 b 2))) (.f64 2 (/.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (pow.f64 b 2)))))))
(+.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (fma.f64 -1 (/.f64 (.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) -3) b) (fma.f64 -1/2 (/.f64 eps (.f64 b b)) (+.f64 (/.f64 1 (.f64 a (.f64 b b))) (.f64 2 (/.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (.f64 b b)))))))
(+.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 2 a) eps) (.f64 b b)) (fma.f64 -1/2 (/.f64 (/.f64 eps b) b) (/.f64 (/.f64 1 a) (.f64 b b)))) (/.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) (/.f64 b -3))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2))) b)) (+.f64 (/.f64 1 (pow.f64 b 3)) (+.f64 (.f64 -1/2 (/.f64 eps (pow.f64 b 2))) (+.f64 (/.f64 1 (.f64 a (pow.f64 b 2))) (.f64 2 (/.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (pow.f64 b 2))))))))
(+.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (fma.f64 -1 (/.f64 (.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) -3) b) (+.f64 (/.f64 1 (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 eps (.f64 b b)) (+.f64 (/.f64 1 (.f64 a (.f64 b b))) (.f64 2 (/.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (.f64 b b))))))))
(+.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) (-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (/.f64 eps b) b) (/.f64 (/.f64 1 a) (.f64 b b)))) (/.f64 (-.f64 (/.f64 2 a) eps) (.f64 b b))) (/.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2) (/.f64 b -3))))

eval771.0ms (4.2%)

Compiler: Compiled 29161 to 22191 computations (23.9% saved)

prune288.0ms (1.6%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	692	6	698
Fresh	2	7	9
Picked	1	0	1
Done	2	6	8
Total	697	19	716

Error

Counts

716 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	19.4b	(+.f64 (/.f64 1 a) (.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps)))))
	62.0b	(pow.f64 (pow.f64 (*.f64 -1/2 eps) 3) 1/3)
✓	62.0b	(*.f64 -1/2 eps)
	47.4b	(/.f64 (+.f64 (.f64 eps 1) (.f64 (.f64 a (.f64 eps eps)) -1/2)) (*.f64 a eps))
	61.7b	0
	34.2b	(/.f64 (/.f64 eps a) eps)
	37.9b	(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) b) (/.f64 (sqrt.f64 (+.f64 a b)) a))
✓	3.1b	(+.f64 (/.f64 1 b) (/.f64 1 a))
✓	41.3b	(/.f64 (/.f64 b a) b)
	34.2b	(/.f64 (+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (/.f64 (.f64 a (+.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) -1/4))) (+.f64 (/.f64 1 b) (.f64 -1/2 eps))))
	47.7b	(/.f64 eps (*.f64 eps a))
	8.4b	(/.f64 (/.f64 (+.f64 a b) b) a)
	50.6b	(exp.f64 (log.f64 (fma.f64 -1/2 eps (/.f64 1 a))))
	48.7b	(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 1/3) 3)
	51.6b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
✓	33.1b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
✓	32.9b	(/.f64 1 b)
✓	33.4b	(/.f64 1 a)
	62.0b	(pow.f64 (cbrt.f64 (*.f64 -1/2 eps)) 3)

Compiler

Compiled 241 to 173 computations (28.2% saved)

regimes225.0ms (1.2%)

Counts

37 → 3

Calls

Call 1

Inputs
0
(*.f64 -1/2 eps)
(/.f64 1 b)
(/.f64 1 b)
(/.f64 1 a)
(/.f64 (/.f64 eps a) eps)
(/.f64 (/.f64 b a) b)
(/.f64 eps (*.f64 eps a))
(/.f64 (/.f64 (+.f64 a b) b) a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (+.f64 a b) (*.f64 a b))
(.f64 eps (/.f64 1 (.f64 eps a)))
(/.f64 (/.f64 (+.f64 a b) a) b)
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(/.f64 (+.f64 (.f64 eps 1) (.f64 (.f64 a (.f64 eps eps)) -1/2)) (*.f64 a eps))
(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
(+.f64 (/.f64 1 a) (.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps)))))
(/.f64 (+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (.f64 a (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(pow.f64 (cbrt.f64 (*.f64 -1/2 eps)) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 eps) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 1/3) 3)
(.f64 eps (pow.f64 (pow.f64 (/.f64 1 (.f64 eps a)) 3) 1/3))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) b) (/.f64 (sqrt.f64 (+.f64 a b)) a))
(.f64 eps (-.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 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (/.f64 (.f64 a (+.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) -1/4))) (+.f64 (/.f64 1 b) (.f64 -1/2 eps))))
(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 -1/2 (/.f64 (.f64 a a) (.f64 (*.f64 a b) (+.f64 a b))))))))
(exp.f64 (log.f64 (fma.f64 -1/2 eps (/.f64 1 a))))
(+.f64 (/.f64 1 a) (exp.f64 (log.f64 (fma.f64 eps -1/2 (/.f64 1 b)))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
(fma.f64 (*.f64 -1/2 (sqrt.f64 eps)) (sqrt.f64 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)
(.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.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)))))
(/.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 1 b) (/.f64 1 a))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
(+.f64 (/.f64 1 b) (/.f64 1 a))

Calls

5 calls:

88.0ms	b
57.0ms	eps
40.0ms	a
13.0ms	(/.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)))
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
1.8b	2	`a`
1.8b	2	`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)))`
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 534 to 309 computations (42.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.3642125137319813e-37	+inf
0.0ms	-inf	-7.790181594122663e-55

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes87.0ms (0.5%)

Counts

34 → 2

Calls

Call 1

Inputs
0
(*.f64 -1/2 eps)
(/.f64 1 b)
(/.f64 1 b)
(/.f64 1 a)
(/.f64 (/.f64 eps a) eps)
(/.f64 (/.f64 b a) b)
(/.f64 eps (*.f64 eps a))
(/.f64 (/.f64 (+.f64 a b) b) a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (+.f64 a b) (*.f64 a b))
(.f64 eps (/.f64 1 (.f64 eps a)))
(/.f64 (/.f64 (+.f64 a b) a) b)
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(/.f64 (+.f64 (.f64 eps 1) (.f64 (.f64 a (.f64 eps eps)) -1/2)) (*.f64 a eps))
(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
(+.f64 (/.f64 1 a) (.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps)))))
(/.f64 (+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (.f64 a (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(pow.f64 (cbrt.f64 (*.f64 -1/2 eps)) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 eps) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 1/3) 3)
(.f64 eps (pow.f64 (pow.f64 (/.f64 1 (.f64 eps a)) 3) 1/3))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) b) (/.f64 (sqrt.f64 (+.f64 a b)) a))
(.f64 eps (-.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 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (/.f64 (.f64 a (+.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) -1/4))) (+.f64 (/.f64 1 b) (.f64 -1/2 eps))))
(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 -1/2 (/.f64 (.f64 a a) (.f64 (*.f64 a b) (+.f64 a b))))))))
(exp.f64 (log.f64 (fma.f64 -1/2 eps (/.f64 1 a))))
(+.f64 (/.f64 1 a) (exp.f64 (log.f64 (fma.f64 eps -1/2 (/.f64 1 b)))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
(fma.f64 (*.f64 -1/2 (sqrt.f64 eps)) (sqrt.f64 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)
(.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

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

Calls

3 calls:

31.0ms	a
22.0ms	eps
19.0ms	b

Results

Error	Segments	Branch
1.8b	2	`a`
2.8b	1	`b`
2.8b	1	`eps`

Compiler

Compiled 420 to 252 computations (40% saved)

bsearch164.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
163.0ms	7.2107672489535464e+25	1.7383184191969983e+43

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes69.0ms (0.4%)

Counts

33 → 1

Calls

Call 1

Inputs
0
(*.f64 -1/2 eps)
(/.f64 1 b)
(/.f64 1 b)
(/.f64 1 a)
(/.f64 (/.f64 eps a) eps)
(/.f64 (/.f64 b a) b)
(/.f64 eps (*.f64 eps a))
(/.f64 (/.f64 (+.f64 a b) b) a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (+.f64 a b) (*.f64 a b))
(.f64 eps (/.f64 1 (.f64 eps a)))
(/.f64 (/.f64 (+.f64 a b) a) b)
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(/.f64 (+.f64 (.f64 eps 1) (.f64 (.f64 a (.f64 eps eps)) -1/2)) (*.f64 a eps))
(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
(+.f64 (/.f64 1 a) (.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps)))))
(/.f64 (+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (.f64 a (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(pow.f64 (cbrt.f64 (*.f64 -1/2 eps)) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 eps) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 1/3) 3)
(.f64 eps (pow.f64 (pow.f64 (/.f64 1 (.f64 eps a)) 3) 1/3))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) b) (/.f64 (sqrt.f64 (+.f64 a b)) a))
(.f64 eps (-.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 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (/.f64 (.f64 a (+.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) -1/4))) (+.f64 (/.f64 1 b) (.f64 -1/2 eps))))
(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 -1/2 (/.f64 (.f64 a a) (.f64 (*.f64 a b) (+.f64 a b))))))))
(exp.f64 (log.f64 (fma.f64 -1/2 eps (/.f64 1 a))))
(+.f64 (/.f64 1 a) (exp.f64 (log.f64 (fma.f64 eps -1/2 (/.f64 1 b)))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
(fma.f64 (*.f64 -1/2 (sqrt.f64 eps)) (sqrt.f64 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)

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

Calls

3 calls:

19.0ms	a
19.0ms	b
18.0ms	eps

Results

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

Compiler

Compiled 404 to 247 computations (38.9% saved)

regimes31.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	eps
10.0ms	a
8.0ms	b

Results

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

Compiler

Compiled 85 to 47 computations (44.7% saved)

regimes48.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	b
19.0ms	a
7.0ms	eps

Results

Error	Segments	Branch
4.1b	2	`a`
5.3b	2	`b`
8.4b	1	`eps`

Compiler

Compiled 57 to 35 computations (38.6% saved)

bsearch148.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
147.0ms	-3.276877401821255e+69	-1.5222732567523052e+69

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes79.0ms (0.4%)

Counts

8 → 2

Calls

Call 1

Inputs
0
(*.f64 -1/2 eps)
(/.f64 1 b)
(/.f64 1 b)
(/.f64 1 a)
(/.f64 (/.f64 eps a) eps)
(/.f64 (/.f64 b a) b)
(/.f64 eps (*.f64 eps a))

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

Calls

3 calls:

41.0ms	eps
18.0ms	b
17.0ms	a

Results

Error	Segments	Branch
13.6b	2	`a`
11.2b	2	`b`
25.7b	6	`eps`

Compiler

Compiled 43 to 27 computations (37.2% saved)

bsearch172.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
172.0ms	1.109401709633242e-56	8.585752298691719e-54

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes15.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 1 b)

Calls

3 calls:

5.0ms	b
4.0ms	eps
4.0ms	a

Results

Error	Segments	Branch
32.9b	1	`a`
32.9b	1	`b`
32.9b	1	`eps`

Compiler

Compiled 25 to 19 computations (24% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.9b remaining (-1.5%)

Threshold costs -0.9b (-1.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
0

Calls

3 calls:

4.0ms	a
3.0ms	b
3.0ms	eps

Results

Error	Segments	Branch
61.7b	1	`a`
61.7b	1	`b`
61.7b	1	`eps`

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	244
1	74	244
2	77	244

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 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))) 2993155353253689/5986310706507378352962293074805895248510699696029696) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 a 72107672489535464401797120) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -3276877401821255131214212654471333839490206805183220375601382091128832) (/.f64 1 b) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 2450178942907019/220855883097298041197912187592864814478435487109452369765200775161577472) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
0

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 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))) 2993155353253689/5986310706507378352962293074805895248510699696029696) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (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 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))) 2993155353253689/5986310706507378352962293074805895248510699696029696) (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 a 72107672489535464401797120) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -3276877401821255131214212654471333839490206805183220375601382091128832) (/.f64 1 b) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 2450178942907019/220855883097298041197912187592864814478435487109452369765200775161577472) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
0

Compiler

Compiled 187 to 120 computations (35.8% saved)

soundness195.0ms (1.1%)

Algorithm

3×	egg-herbie

Rules

986×	`times-frac_binary64`
986×	`times-frac_binary64`
883×	`times-frac_binary64`
580×	`associate-/l*_binary64`
580×	`associate-/l*_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
0	290	5491
1	997	5417
2	3840	5129
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28

Stop Event

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

Compiler

Compiled 684 to 443 computations (35.2% saved)

end145.0ms (0.8%)

Remove: (sort a b)
Compiler: Compiled 344 to 193 computations (43.9% saved)