Details

analyze941.0ms (5.2%)

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)

sample8.2s (45.3%)

Results

5.4s	4204×	body	2048	valid
1.7s	2505×	body	1024	valid
303.0ms	798×	body	512	valid
218.0ms	294×	body	2048	invalid
215.0ms	455×	body	1024	invalid
143.0ms	730×	body	256	valid
127.0ms	712×	body	256	invalid
77.0ms	230×	body	512	invalid
26.0ms	19×	body	4096	valid

preprocess80.0ms (0.4%)

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)

simplify30.0ms (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

40.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.8b	(.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)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.1b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	15.3b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	28.2b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 77 to 13 computations (83.1% saved)

series40.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(.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 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
4.0ms	a	@	0	(expm1.f64 (*.f64 eps (+.f64 a b)))
2.0ms	eps	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	a	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

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	76
1	294	76
2	4083	76

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

simplify143.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

881×	`times-frac_binary64`
420×	`cancel-sign-sub-inv_binary64`
338×	`associate-r_binary64`
336×	`fma-def_binary64`
268×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	5943
1	1129	5861
2	4341	5743

Stop Event

1×	node limit

Counts

264 → 228

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

Outputs
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (/.f64 (+.f64 a b) a) b)
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (.f64 b b))))) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (fma.f64 eps (fma.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (*.f64 b b)))))) (/.f64 1 a)))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (-.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 (.f64 a a) (.f64 b b)) 1/4))) (/.f64 (.f64 (.f64 a a) (.f64 b b)) (+.f64 a b)))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b))))))) (.f64 eps eps) (fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (fma.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 a a) (.f64 (.f64 b b) 1/4)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (.f64 b b))))) (/.f64 (/.f64 (.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b))))))) (.f64 eps eps) (+.f64 (/.f64 1 b) (fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (*.f64 b b))))) (/.f64 1 a))))
(fma.f64 (-.f64 (.f64 (/.f64 1/6 a) (/.f64 (pow.f64 (+.f64 a b) 3) b)) (fma.f64 (/.f64 (fma.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))))) a) (.f64 1/2 (/.f64 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b))) b)) (.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a 1/6) (pow.f64 b 3) (.f64 (.f64 b b) (.f64 (.f64 a a) 1/4)))) a) (/.f64 (+.f64 a b) (.f64 a (.f64 b b)))))) (.f64 eps eps) (+.f64 (/.f64 1 b) (fma.f64 eps (fma.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (*.f64 b b)))))) (/.f64 1 a))))
(+.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)))))
(fma.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (+.f64 (+.f64 (.f64 (/.f64 (fma.f64 1/12 (.f64 (.f64 a a) (pow.f64 b 3)) (fma.f64 1/24 (.f64 a (pow.f64 b 4)) (fma.f64 1/24 (.f64 b (pow.f64 a 4)) (.f64 1/12 (.f64 (.f64 b b) (pow.f64 a 3)))))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b))) (/.f64 (-.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 (.f64 a a) (.f64 b b)) 1/4))) (/.f64 (.f64 (.f64 a a) (.f64 b b)) (+.f64 a b)))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b))))))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b))))))) (.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 (.f64 a a) (.f64 b b)) 1/4))) a) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) b)))) (pow.f64 eps 3) (fma.f64 (-.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 (.f64 a a) (.f64 b b)) 1/4))) (/.f64 (.f64 (.f64 a a) (.f64 b b)) (+.f64 a b)))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b))))))) (.f64 eps eps) (fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(fma.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (fma.f64 (/.f64 (fma.f64 1/12 (.f64 (.f64 a a) (pow.f64 b 3)) (fma.f64 1/24 (.f64 a (pow.f64 b 4)) (fma.f64 1/24 (.f64 b (pow.f64 a 4)) (.f64 (.f64 b b) (.f64 (pow.f64 a 3) 1/12))))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)) (fma.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 a a) (.f64 (.f64 b b) 1/4)))) a) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (.f64 b b))))) b) (.f64 (/.f64 (.f64 1/2 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) a) (/.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (fma.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 a a) (.f64 (.f64 b b) 1/4)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (.f64 b b))))) (/.f64 (/.f64 (.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b))))))) b))))) (pow.f64 eps 3) (fma.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (fma.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 a a) (.f64 (.f64 b b) 1/4)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (.f64 b b))))) (/.f64 (/.f64 (.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b))))))) (.f64 eps eps) (+.f64 (/.f64 1 b) (fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (*.f64 b b))))) (/.f64 1 a)))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 a b) 4) a) (/.f64 1/24 b)) (fma.f64 (/.f64 (fma.f64 1/12 (.f64 (.f64 a a) (pow.f64 b 3)) (fma.f64 1/24 (.f64 a (pow.f64 b 4)) (fma.f64 1/24 (.f64 b (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 (.f64 b b) 1/12))))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)) (fma.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a 1/6) (pow.f64 b 3) (.f64 (.f64 b b) (.f64 (.f64 a a) 1/4)))) a) (/.f64 (fma.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))))) b) (/.f64 (.f64 1/2 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (/.f64 (.f64 a b) (-.f64 (.f64 (/.f64 1/6 a) (/.f64 (pow.f64 (+.f64 a b) 3) b)) (fma.f64 (/.f64 (fma.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))))) a) (.f64 1/2 (/.f64 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b))) b)) (.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a 1/6) (pow.f64 b 3) (.f64 (.f64 b b) (.f64 (.f64 a a) 1/4)))) a) (/.f64 (+.f64 a b) (.f64 a (.f64 b b))))))))))) (pow.f64 eps 3) (fma.f64 (-.f64 (.f64 (/.f64 1/6 a) (/.f64 (pow.f64 (+.f64 a b) 3) b)) (fma.f64 (/.f64 (fma.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))))) a) (.f64 1/2 (/.f64 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b))) b)) (.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a 1/6) (pow.f64 b 3) (.f64 (.f64 b b) (.f64 (.f64 a a) 1/4)))) a) (/.f64 (+.f64 a b) (.f64 a (.f64 b b)))))) (.f64 eps eps) (+.f64 (/.f64 1 b) (fma.f64 eps (fma.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))))) (/.f64 1 a)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a 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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a 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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a 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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a 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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a 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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a 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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a 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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))))
(/.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 eps (/.f64 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b))) (-.f64 (/.f64 1 a) (.f64 eps 1/2)))
(+.f64 (/.f64 1 a) (+.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (pow.f64 (exp.f64 eps) b)) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
(-.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 eps (/.f64 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b))) (-.f64 (fma.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps eps) (/.f64 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b)))) (fma.f64 1/6 (.f64 eps eps) (.f64 (.f64 eps 1/2) (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b))) (.f64 -1/2 eps))))) a (/.f64 1 a)) (.f64 eps 1/2)))
(+.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (pow.f64 (exp.f64 eps) b)) (+.f64 (fma.f64 a (-.f64 (/.f64 (.f64 (.f64 1/2 (.f64 eps eps)) (pow.f64 (exp.f64 eps) b)) (expm1.f64 (.f64 b eps))) (fma.f64 1/2 (.f64 eps (+.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (pow.f64 (exp.f64 eps) b)) (.f64 eps -1/2))) (.f64 eps (.f64 eps 1/6)))) (/.f64 1 a)) (*.f64 eps -1/2)))
(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (+.f64 (/.f64 1 a) (fma.f64 a (+.f64 (fma.f64 1/2 (/.f64 (.f64 eps eps) (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 (.f64 eps -1/2) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))) (.f64 -1/6 (.f64 eps eps))) (.f64 eps -1/2))))
(-.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 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b))) (-.f64 (fma.f64 (.f64 a a) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (exp.f64 eps) b)) (expm1.f64 (.f64 b eps)))) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 1/6 (.f64 (.f64 eps eps) (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b))) (.f64 -1/2 eps))) (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (.f64 eps eps) (/.f64 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b)))) (fma.f64 1/6 (.f64 eps eps) (.f64 (.f64 eps 1/2) (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b))) (.f64 -1/2 eps)))))))))) (fma.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps eps) (/.f64 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b)))) (fma.f64 1/6 (.f64 eps eps) (.f64 (.f64 eps 1/2) (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b))) (.f64 -1/2 eps))))) a (/.f64 1 a))) (.f64 eps 1/2)))
(+.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (pow.f64 (exp.f64 eps) b)) (+.f64 (fma.f64 (.f64 a a) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (exp.f64 eps) b)) (expm1.f64 (.f64 b eps)))) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 (.f64 1/2 (.f64 eps eps)) (pow.f64 (exp.f64 eps) b)) (expm1.f64 (.f64 b eps))) (fma.f64 1/2 (.f64 eps (+.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (pow.f64 (exp.f64 eps) b)) (.f64 eps -1/2))) (.f64 eps (.f64 eps 1/6))))) (.f64 1/6 (.f64 (.f64 eps eps) (+.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (pow.f64 (exp.f64 eps) b)) (.f64 eps -1/2))))))) (fma.f64 a (-.f64 (/.f64 (.f64 (.f64 1/2 (.f64 eps eps)) (pow.f64 (exp.f64 eps) b)) (expm1.f64 (.f64 b eps))) (fma.f64 1/2 (.f64 eps (+.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (pow.f64 (exp.f64 eps) b)) (.f64 eps -1/2))) (.f64 eps (.f64 eps 1/6)))) (/.f64 1 a))) (.f64 eps -1/2)))
(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (+.f64 (fma.f64 (.f64 a a) (-.f64 (/.f64 (.f64 1/6 (pow.f64 eps 3)) (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 1/2 (.f64 eps (+.f64 (fma.f64 1/2 (/.f64 (.f64 eps eps) (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 (.f64 eps -1/2) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))) (.f64 -1/6 (.f64 eps eps)))) (.f64 (.f64 eps (.f64 eps 1/6)) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))))) (fma.f64 a (+.f64 (fma.f64 1/2 (/.f64 (.f64 eps eps) (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 (.f64 eps -1/2) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))) (.f64 -1/6 (.f64 eps eps))) (/.f64 1 a))) (*.f64 eps -1/2)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a 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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a 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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a 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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))))
(/.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 eps (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))))
(/.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 eps (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))))
(/.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 eps (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))))
(/.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 eps (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))))
(/.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 eps (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (-.f64 (/.f64 1 b) (.f64 eps 1/2)))
(+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
(-.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 eps (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (-.f64 (fma.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (exp.f64 eps) a)) (expm1.f64 (.f64 a eps)))) (fma.f64 1/6 (.f64 eps eps) (.f64 (.f64 eps 1/2) (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (.f64 -1/2 eps))))) b (/.f64 1 b)) (*.f64 eps 1/2)))
(+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (+.f64 (fma.f64 b (-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 eps eps) (expm1.f64 (.f64 a eps))) (pow.f64 (exp.f64 eps) a))) (fma.f64 1/2 (.f64 eps (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (.f64 eps -1/2))) (.f64 eps (.f64 eps 1/6)))) (/.f64 1 b)) (*.f64 eps -1/2)))
(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (+.f64 (/.f64 1 b) (fma.f64 b (+.f64 (fma.f64 1/2 (/.f64 (.f64 eps eps) (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (.f64 (.f64 eps -1/2) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (.f64 eps -1/2)))) (.f64 -1/6 (.f64 eps eps))) (.f64 eps -1/2))))
(-.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 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (-.f64 (+.f64 (fma.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (exp.f64 eps) a)) (expm1.f64 (.f64 a eps)))) (fma.f64 1/6 (.f64 eps eps) (.f64 (.f64 eps 1/2) (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (.f64 -1/2 eps))))) b (/.f64 1 b)) (.f64 (.f64 b b) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (exp.f64 eps) a)) (expm1.f64 (.f64 a eps)))) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (exp.f64 eps) a)) (expm1.f64 (.f64 a eps)))) (fma.f64 1/6 (.f64 eps eps) (.f64 (.f64 eps 1/2) (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (.f64 -1/2 eps)))))) (.f64 1/6 (.f64 (.f64 eps eps) (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (.f64 -1/2 eps))))))))) (*.f64 eps 1/2)))
(+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (+.f64 (fma.f64 b (-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 eps eps) (expm1.f64 (.f64 a eps))) (pow.f64 (exp.f64 eps) a))) (fma.f64 1/2 (.f64 eps (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (.f64 eps -1/2))) (.f64 eps (.f64 eps 1/6)))) (fma.f64 (.f64 b b) (-.f64 (.f64 1/6 (/.f64 (pow.f64 eps 3) (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a)))) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 eps eps) (expm1.f64 (.f64 a eps))) (pow.f64 (exp.f64 eps) a))) (fma.f64 1/2 (.f64 eps (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (.f64 eps -1/2))) (.f64 eps (.f64 eps 1/6))))) (.f64 1/6 (.f64 eps (.f64 eps (+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (.f64 eps -1/2)))))))) (/.f64 1 b))) (*.f64 eps -1/2)))
(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (+.f64 (fma.f64 b (+.f64 (fma.f64 1/2 (/.f64 (.f64 eps eps) (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (.f64 (.f64 eps -1/2) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (.f64 eps -1/2)))) (.f64 -1/6 (.f64 eps eps))) (/.f64 1 b)) (fma.f64 (.f64 b b) (-.f64 (.f64 1/6 (/.f64 (pow.f64 eps 3) (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps)))))) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 1/2 (.f64 eps (+.f64 (fma.f64 1/2 (/.f64 (.f64 eps eps) (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (.f64 (.f64 eps -1/2) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (.f64 eps -1/2)))) (.f64 -1/6 (.f64 eps eps)))) (.f64 1/6 (.f64 (.f64 eps eps) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (.f64 eps -1/2))))))) (*.f64 eps -1/2))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a 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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a 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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a 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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))))
(/.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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))))
(/.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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))))
(/.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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))))
(/.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 (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (.f64 a b) eps))
(/.f64 (+.f64 a b) (.f64 a (.f64 b eps)))
(/.f64 (/.f64 (+.f64 a b) (*.f64 a eps)) 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 1 eps) b) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))))
(+.f64 (/.f64 1 (.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 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (*.f64 b b))))))
(+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (/.f64 1 (.f64 a eps)) (fma.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (*.f64 b b))))))))
(-.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 (fma.f64 (-.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 (.f64 a a) (.f64 b b)) 1/4))) (/.f64 (.f64 (.f64 a a) (.f64 b b)) (+.f64 a b)))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b))))))) eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (*.f64 b b))))
(-.f64 (fma.f64 eps (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (fma.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 a a) (.f64 (.f64 b b) 1/4)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (.f64 b b))))) (/.f64 (/.f64 (.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b))))))) (+.f64 (/.f64 1 (.f64 b eps)) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))))) (/.f64 (.f64 (.f64 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (*.f64 b b)))))
(fma.f64 eps (-.f64 (.f64 (/.f64 1/6 a) (/.f64 (pow.f64 (+.f64 a b) 3) b)) (fma.f64 (/.f64 (fma.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))))) a) (.f64 1/2 (/.f64 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b))) b)) (.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a 1/6) (pow.f64 b 3) (.f64 (.f64 b b) (.f64 (.f64 a a) 1/4)))) a) (/.f64 (+.f64 a b) (.f64 a (.f64 b b)))))) (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (/.f64 1 (.f64 a eps)) (fma.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))))))))
(-.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 (fma.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (+.f64 (+.f64 (.f64 (/.f64 (fma.f64 1/12 (.f64 (.f64 a a) (pow.f64 b 3)) (fma.f64 1/24 (.f64 a (pow.f64 b 4)) (fma.f64 1/24 (.f64 b (pow.f64 a 4)) (.f64 1/12 (.f64 (.f64 b b) (pow.f64 a 3)))))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b))) (/.f64 (-.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 (.f64 a a) (.f64 b b)) 1/4))) (/.f64 (.f64 (.f64 a a) (.f64 b b)) (+.f64 a b)))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b))))))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b))))))) (.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 (.f64 a a) (.f64 b b)) 1/4))) a) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) b)))) (.f64 eps eps) (fma.f64 (-.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 (.f64 a a) (.f64 b b)) 1/4))) (/.f64 (.f64 (.f64 a a) (.f64 b b)) (+.f64 a b)))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b))))))) eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps)))))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b))))
(-.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (fma.f64 (/.f64 (fma.f64 1/12 (.f64 (.f64 a a) (pow.f64 b 3)) (fma.f64 1/24 (.f64 a (pow.f64 b 4)) (fma.f64 1/24 (.f64 b (pow.f64 a 4)) (.f64 (.f64 b b) (.f64 (pow.f64 a 3) 1/12))))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)) (fma.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 a a) (.f64 (.f64 b b) 1/4)))) a) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (.f64 b b))))) b) (.f64 (/.f64 (.f64 1/2 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) a) (/.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (fma.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 a a) (.f64 (.f64 b b) 1/4)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (.f64 b b))))) (/.f64 (/.f64 (.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b))))))) b))))) (fma.f64 eps (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (fma.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 a a) (.f64 (.f64 b b) 1/4)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (.f64 b b))))) (/.f64 (/.f64 (.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b))))))) (+.f64 (/.f64 1 (.f64 b eps)) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps)))))) (/.f64 (.f64 (.f64 (+.f64 a b) 1/2) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 a (.f64 a (.f64 b b)))))
(+.f64 (fma.f64 eps (-.f64 (.f64 (/.f64 1/6 a) (/.f64 (pow.f64 (+.f64 a b) 3) b)) (fma.f64 (/.f64 (fma.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))))) a) (.f64 1/2 (/.f64 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b))) b)) (.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a 1/6) (pow.f64 b 3) (.f64 (.f64 b b) (.f64 (.f64 a a) 1/4)))) a) (/.f64 (+.f64 a b) (.f64 a (.f64 b b)))))) (+.f64 (/.f64 1 (.f64 b eps)) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 1 (.f64 a eps))))) (fma.f64 (.f64 eps eps) (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 a b) 4) a) (/.f64 1/24 b)) (fma.f64 (/.f64 (fma.f64 1/12 (.f64 (.f64 a a) (pow.f64 b 3)) (fma.f64 1/24 (.f64 a (pow.f64 b 4)) (fma.f64 1/24 (.f64 b (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 (.f64 b b) 1/12))))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)) (fma.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a 1/6) (pow.f64 b 3) (.f64 (.f64 b b) (.f64 (.f64 a a) 1/4)))) a) (/.f64 (fma.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))))) b) (/.f64 (.f64 1/2 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (/.f64 (.f64 a b) (-.f64 (.f64 (/.f64 1/6 a) (/.f64 (pow.f64 (+.f64 a b) 3) b)) (fma.f64 (/.f64 (fma.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))))) a) (.f64 1/2 (/.f64 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b))) b)) (.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a 1/6) (pow.f64 b 3) (.f64 (.f64 b b) (.f64 (.f64 a a) 1/4)))) a) (/.f64 (+.f64 a b) (.f64 a (.f64 b b))))))))))) (/.f64 -1/2 (/.f64 (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))) (fma.f64 b (.f64 a a) (.f64 a (*.f64 b b)))))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.f64 1 (*.f64 eps a))
(/.f64 1 (*.f64 a 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 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (-.f64 (/.f64 1 (.f64 a eps)) 1/2))
(+.f64 (/.f64 1 (.f64 a eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -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 (fma.f64 (-.f64 (.f64 1/2 (/.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b)))) (fma.f64 1/6 eps (.f64 (.f64 eps 1/2) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2)))) a (+.f64 (/.f64 1 (.f64 a eps)) (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))))) -1/2)
(+.f64 (+.f64 (/.f64 1 (.f64 a eps)) (fma.f64 a (-.f64 (.f64 1/2 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (pow.f64 (exp.f64 eps) b))) (fma.f64 eps 1/6 (.f64 eps (.f64 1/2 (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2))))) (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))))) -1/2)
(+.f64 (+.f64 (/.f64 1 (.f64 a eps)) (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps)))) (fma.f64 a (-.f64 (/.f64 (.f64 eps 1/2) (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (fma.f64 eps 1/6 (.f64 (.f64 eps 1/2) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2)))) -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 (fma.f64 (.f64 a a) (-.f64 (.f64 1/6 (/.f64 (.f64 eps eps) (/.f64 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b)))) (fma.f64 1/24 (.f64 eps eps) (fma.f64 1/6 (.f64 (.f64 eps eps) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2)) (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (/.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b)))) (fma.f64 1/6 eps (.f64 (.f64 eps 1/2) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2))))))))) (fma.f64 (-.f64 (.f64 1/2 (/.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (pow.f64 (exp.f64 eps) b)))) (fma.f64 1/6 eps (.f64 (.f64 eps 1/2) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2)))) a (+.f64 (/.f64 1 (.f64 a eps)) (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps)))))) -1/2)
(+.f64 (fma.f64 (.f64 a a) (-.f64 (.f64 1/6 (.f64 (/.f64 (.f64 eps eps) (expm1.f64 (.f64 b eps))) (pow.f64 (exp.f64 eps) b))) (fma.f64 (.f64 eps eps) 1/24 (fma.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (pow.f64 (exp.f64 eps) b))) (fma.f64 eps 1/6 (.f64 eps (.f64 1/2 (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2)))))) (.f64 1/6 (.f64 (.f64 eps eps) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2)))))) (+.f64 (/.f64 1 (.f64 a eps)) (fma.f64 a (-.f64 (.f64 1/2 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (pow.f64 (exp.f64 eps) b))) (fma.f64 eps 1/6 (.f64 eps (.f64 1/2 (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2))))) (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))))) -1/2)
(+.f64 (fma.f64 a (-.f64 (/.f64 (.f64 eps 1/2) (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (fma.f64 eps 1/6 (.f64 (.f64 eps 1/2) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2)))) (+.f64 (/.f64 1 (.f64 a eps)) (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))))) (fma.f64 a (.f64 a (-.f64 (.f64 1/6 (/.f64 (.f64 eps eps) (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps)))))) (fma.f64 (.f64 eps eps) 1/24 (fma.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps 1/2) (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (fma.f64 eps 1/6 (.f64 (.f64 eps 1/2) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2))))) (.f64 (.f64 eps eps) (.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2) 1/6)))))) -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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.f64 1 (*.f64 eps b))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 b eps))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (*.f64 eps b))) 1/2)
(+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) (-.f64 (/.f64 (/.f64 1 eps) b) 1/2))
(+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2))
(+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (.f64 b eps)) -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 (/.f64 (/.f64 1 eps) b) (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps)))) (.f64 b (-.f64 (/.f64 (.f64 1/2 (.f64 eps (pow.f64 (exp.f64 eps) a))) (expm1.f64 (.f64 a eps))) (fma.f64 1/6 eps (.f64 (.f64 eps 1/2) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))))) -1/2)
(+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (fma.f64 b (-.f64 (/.f64 (.f64 1/2 (.f64 eps (pow.f64 (exp.f64 eps) a))) (expm1.f64 (.f64 a eps))) (fma.f64 eps 1/6 (.f64 eps (.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2) 1/2)))) (/.f64 1 (.f64 b eps))) -1/2))
(+.f64 (+.f64 (/.f64 1 (.f64 b eps)) (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps)))) (fma.f64 b (+.f64 (fma.f64 1/2 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (.f64 (.f64 eps -1/2) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2))) (*.f64 -1/6 eps)) -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 (+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps)))) (fma.f64 (-.f64 (/.f64 (.f64 1/2 (.f64 eps (pow.f64 (exp.f64 eps) a))) (expm1.f64 (.f64 a eps))) (fma.f64 1/6 eps (.f64 (.f64 eps 1/2) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))) b (.f64 (.f64 b b) (-.f64 (.f64 1/6 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (exp.f64 eps) a)) (expm1.f64 (.f64 a eps)))) (fma.f64 1/24 (.f64 eps eps) (fma.f64 1/6 (.f64 (.f64 eps eps) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 1/2 (.f64 eps (pow.f64 (exp.f64 eps) a))) (expm1.f64 (.f64 a eps))) (fma.f64 1/6 eps (.f64 (.f64 eps 1/2) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2)))))))))))) -1/2)
(+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (.f64 b eps)) (-.f64 (fma.f64 b (-.f64 (/.f64 (.f64 1/2 (.f64 eps (pow.f64 (exp.f64 eps) a))) (expm1.f64 (.f64 a eps))) (fma.f64 eps 1/6 (.f64 eps (.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2) 1/2)))) (.f64 b (.f64 b (-.f64 (/.f64 (.f64 eps (.f64 eps 1/6)) (/.f64 (expm1.f64 (.f64 a eps)) (pow.f64 (exp.f64 eps) a))) (fma.f64 (.f64 eps eps) 1/24 (fma.f64 (.f64 eps 1/2) (-.f64 (/.f64 (.f64 1/2 (.f64 eps (pow.f64 (exp.f64 eps) a))) (expm1.f64 (.f64 a eps))) (fma.f64 eps 1/6 (.f64 eps (.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2) 1/2)))) (.f64 1/6 (.f64 (.f64 eps eps) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2))))))))) 1/2)))
(+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (fma.f64 b (+.f64 (fma.f64 1/2 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (.f64 (.f64 eps -1/2) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2))) (.f64 -1/6 eps)) (/.f64 1 (.f64 b eps))) (fma.f64 b (.f64 b (-.f64 (/.f64 (.f64 eps (.f64 eps 1/6)) (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (fma.f64 (.f64 eps eps) 1/24 (fma.f64 1/2 (.f64 eps (+.f64 (fma.f64 1/2 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (.f64 (.f64 eps -1/2) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2))) (.f64 -1/6 eps))) (.f64 (.f64 eps (.f64 eps 1/6)) (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(/.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 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(.f64 (pow.f64 eps 2) (.f64 a b))
(.f64 (.f64 a b) (*.f64 eps eps))
(.f64 a (.f64 b (*.f64 eps eps)))
(+.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))))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (pow.f64 eps 3)))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 (.f64 (pow.f64 eps 3) 1/2) (fma.f64 b (.f64 a a) (.f64 a (*.f64 b b)))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (fma.f64 b (.f64 a a) (.f64 a (*.f64 b b))) (pow.f64 eps 3))))
(+.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)))))))
(fma.f64 (.f64 eps eps) (.f64 a b) (fma.f64 (pow.f64 eps 4) (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 (.f64 a a) (.f64 b b)) 1/4))) (.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (pow.f64 eps 3))))
(fma.f64 (.f64 a b) (.f64 eps eps) (fma.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 a a) (.f64 (.f64 b b) 1/4)))) (pow.f64 eps 4) (.f64 (.f64 (pow.f64 eps 3) 1/2) (fma.f64 b (.f64 a a) (.f64 a (*.f64 b b))))))
(fma.f64 (.f64 a b) (.f64 eps eps) (fma.f64 (.f64 1/2 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (pow.f64 eps 3) (.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a 1/6) (pow.f64 b 3) (.f64 (.f64 b b) (.f64 (*.f64 a a) 1/4)))) (pow.f64 eps 4))))
(+.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))))))))))
(fma.f64 (.f64 eps eps) (.f64 a b) (fma.f64 (pow.f64 eps 4) (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 (.f64 a a) (.f64 b b)) 1/4))) (fma.f64 (pow.f64 eps 3) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 (fma.f64 1/12 (.f64 (.f64 a a) (pow.f64 b 3)) (fma.f64 1/24 (.f64 a (pow.f64 b 4)) (fma.f64 1/24 (.f64 b (pow.f64 a 4)) (.f64 1/12 (.f64 (*.f64 b b) (pow.f64 a 3)))))) (pow.f64 eps 5)))))
(fma.f64 (.f64 a b) (.f64 eps eps) (fma.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 a a) (.f64 (.f64 b b) 1/4)))) (pow.f64 eps 4) (fma.f64 (.f64 1/2 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (pow.f64 eps 3) (.f64 (fma.f64 1/12 (.f64 (.f64 a a) (pow.f64 b 3)) (fma.f64 1/24 (.f64 a (pow.f64 b 4)) (fma.f64 1/24 (.f64 b (pow.f64 a 4)) (.f64 (.f64 b b) (.f64 (pow.f64 a 3) 1/12))))) (pow.f64 eps 5)))))
(fma.f64 (.f64 a b) (.f64 eps eps) (fma.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a 1/6) (pow.f64 b 3) (.f64 (.f64 b b) (.f64 (.f64 a a) 1/4)))) (pow.f64 eps 4) (fma.f64 (.f64 1/2 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (pow.f64 eps 3) (.f64 (fma.f64 1/12 (.f64 (.f64 a a) (pow.f64 b 3)) (fma.f64 1/24 (.f64 a (pow.f64 b 4)) (fma.f64 1/24 (.f64 b (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 (.f64 b b) 1/12))))) (pow.f64 eps 5)))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(.f64 (.f64 a eps) (expm1.f64 (*.f64 b eps)))
(.f64 a (.f64 eps (expm1.f64 (*.f64 b eps))))
(+.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))))
(fma.f64 1/2 (.f64 (.f64 (.f64 eps eps) (.f64 a a)) (expm1.f64 (.f64 b eps))) (.f64 (.f64 a eps) (expm1.f64 (.f64 b eps))))
(fma.f64 eps (.f64 a (expm1.f64 (.f64 b eps))) (.f64 1/2 (.f64 (expm1.f64 (.f64 b eps)) (.f64 eps (.f64 eps (.f64 a a))))))
(fma.f64 eps (.f64 a (expm1.f64 (.f64 b eps))) (.f64 1/2 (.f64 (.f64 (.f64 eps eps) (expm1.f64 (.f64 b eps))) (.f64 a a))))
(+.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)))))
(fma.f64 1/2 (.f64 (.f64 (.f64 eps eps) (.f64 a a)) (expm1.f64 (.f64 b eps))) (fma.f64 1/6 (.f64 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (expm1.f64 (.f64 b eps))) (.f64 (.f64 a eps) (expm1.f64 (*.f64 b eps)))))
(fma.f64 1/2 (.f64 (expm1.f64 (.f64 b eps)) (.f64 eps (.f64 eps (.f64 a a)))) (fma.f64 eps (.f64 a (expm1.f64 (.f64 b eps))) (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (expm1.f64 (*.f64 b eps)))))))
(fma.f64 1/2 (.f64 (.f64 (.f64 eps eps) (expm1.f64 (.f64 b eps))) (.f64 a a)) (fma.f64 eps (.f64 a (expm1.f64 (.f64 b eps))) (.f64 (.f64 (pow.f64 a 3) (pow.f64 eps 3)) (.f64 (expm1.f64 (*.f64 b eps)) 1/6))))
(+.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))))))
(fma.f64 1/24 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (expm1.f64 (.f64 b eps))) (fma.f64 1/2 (.f64 (.f64 (.f64 eps eps) (.f64 a a)) (expm1.f64 (.f64 b eps))) (fma.f64 1/6 (.f64 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (expm1.f64 (.f64 b eps))) (.f64 (.f64 a eps) (expm1.f64 (.f64 b eps))))))
(fma.f64 1/24 (.f64 (expm1.f64 (.f64 b eps)) (.f64 (pow.f64 a 4) (pow.f64 eps 4))) (fma.f64 1/2 (.f64 (expm1.f64 (.f64 b eps)) (.f64 eps (.f64 eps (.f64 a a)))) (fma.f64 eps (.f64 a (expm1.f64 (.f64 b eps))) (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (expm1.f64 (.f64 b eps))))))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (.f64 (expm1.f64 (.f64 b eps)) (pow.f64 eps 4))) (fma.f64 1/2 (.f64 (.f64 (.f64 eps eps) (expm1.f64 (.f64 b eps))) (.f64 a a)) (fma.f64 eps (.f64 a (expm1.f64 (.f64 b eps))) (.f64 (.f64 (pow.f64 a 3) (pow.f64 eps 3)) (.f64 (expm1.f64 (.f64 b eps)) 1/6)))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b)))
(fma.f64 1/2 (.f64 (expm1.f64 (.f64 a eps)) (.f64 (.f64 b b) (.f64 eps eps))) (.f64 eps (.f64 b (expm1.f64 (.f64 a eps)))))
(fma.f64 eps (.f64 b (expm1.f64 (.f64 a eps))) (.f64 1/2 (.f64 (expm1.f64 (.f64 a eps)) (.f64 b (.f64 b (.f64 eps eps))))))
(fma.f64 eps (.f64 b (expm1.f64 (.f64 a eps))) (.f64 (.f64 b (.f64 b (.f64 eps eps))) (.f64 1/2 (expm1.f64 (.f64 a eps)))))
(+.f64 (.f64 1/6 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))))
(fma.f64 1/6 (.f64 (expm1.f64 (.f64 a eps)) (.f64 (pow.f64 b 3) (pow.f64 eps 3))) (fma.f64 1/2 (.f64 (expm1.f64 (.f64 a eps)) (.f64 (.f64 b b) (.f64 eps eps))) (.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))))
(fma.f64 1/6 (.f64 (pow.f64 b 3) (.f64 (pow.f64 eps 3) (expm1.f64 (.f64 a eps)))) (fma.f64 eps (.f64 b (expm1.f64 (.f64 a eps))) (.f64 1/2 (.f64 (expm1.f64 (.f64 a eps)) (.f64 b (.f64 b (*.f64 eps eps)))))))
(fma.f64 1/6 (.f64 (.f64 (expm1.f64 (.f64 a eps)) (pow.f64 b 3)) (pow.f64 eps 3)) (fma.f64 eps (.f64 b (expm1.f64 (.f64 a eps))) (.f64 (.f64 b (.f64 b (.f64 eps eps))) (.f64 1/2 (expm1.f64 (*.f64 a eps))))))
(+.f64 (.f64 1/6 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (+.f64 (.f64 1/24 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 4) (pow.f64 b 4)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b)))))
(fma.f64 1/6 (.f64 (expm1.f64 (.f64 a eps)) (.f64 (pow.f64 b 3) (pow.f64 eps 3))) (fma.f64 1/2 (.f64 (expm1.f64 (.f64 a eps)) (.f64 (.f64 b b) (.f64 eps eps))) (fma.f64 1/24 (.f64 (expm1.f64 (.f64 a eps)) (.f64 (pow.f64 b 4) (pow.f64 eps 4))) (.f64 eps (.f64 b (expm1.f64 (.f64 a eps)))))))
(fma.f64 1/6 (.f64 (pow.f64 b 3) (.f64 (pow.f64 eps 3) (expm1.f64 (.f64 a eps)))) (fma.f64 1/2 (.f64 (expm1.f64 (.f64 a eps)) (.f64 b (.f64 b (.f64 eps eps)))) (fma.f64 eps (.f64 b (expm1.f64 (.f64 a eps))) (.f64 1/24 (.f64 (pow.f64 b 4) (.f64 (expm1.f64 (.f64 a eps)) (pow.f64 eps 4)))))))
(fma.f64 1/6 (.f64 (.f64 (expm1.f64 (.f64 a eps)) (pow.f64 b 3)) (pow.f64 eps 3)) (fma.f64 1/2 (.f64 (.f64 b b) (.f64 (.f64 eps eps) (expm1.f64 (.f64 a eps)))) (fma.f64 eps (.f64 b (expm1.f64 (.f64 a eps))) (.f64 (expm1.f64 (.f64 a eps)) (.f64 (.f64 (pow.f64 b 4) (pow.f64 eps 4)) 1/24)))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(*.f64 eps (+.f64 a b))
(*.f64 (+.f64 a b) eps)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))
(fma.f64 1/2 (.f64 (pow.f64 (+.f64 a b) 2) (.f64 eps eps)) (*.f64 (+.f64 a b) eps))
(fma.f64 (.f64 1/2 (.f64 eps eps)) (pow.f64 (+.f64 a b) 2) (*.f64 (+.f64 a b) eps))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b))))
(fma.f64 1/6 (.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 eps 3)) (fma.f64 1/2 (.f64 (pow.f64 (+.f64 a b) 2) (.f64 eps eps)) (.f64 (+.f64 a b) eps)))
(fma.f64 1/6 (.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 eps 3)) (fma.f64 (.f64 1/2 (.f64 eps eps)) (pow.f64 (+.f64 a b) 2) (.f64 (+.f64 a b) eps)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 a b) 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))))
(fma.f64 1/24 (.f64 (pow.f64 (+.f64 a b) 4) (pow.f64 eps 4)) (fma.f64 1/6 (.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 eps 3)) (fma.f64 1/2 (.f64 (pow.f64 (+.f64 a b) 2) (.f64 eps eps)) (*.f64 (+.f64 a b) eps))))
(fma.f64 1/24 (.f64 (pow.f64 (+.f64 a b) 4) (pow.f64 eps 4)) (fma.f64 1/6 (.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 eps 3)) (fma.f64 (.f64 1/2 (.f64 eps eps)) (pow.f64 (+.f64 a b) 2) (*.f64 (+.f64 a b) eps))))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 b eps))
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (exp.f64 (.f64 eps b))) 1)
(+.f64 (.f64 (.f64 a eps) (pow.f64 (exp.f64 eps) b)) (expm1.f64 (*.f64 b eps)))
(fma.f64 (.f64 a eps) (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps)))
(fma.f64 (+.f64 (*.f64 a eps) 1) (pow.f64 (exp.f64 eps) b) -1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b)))) 1)
(+.f64 (fma.f64 eps (.f64 a (pow.f64 (exp.f64 eps) b)) (fma.f64 1/2 (.f64 (.f64 (.f64 eps eps) (*.f64 a a)) (pow.f64 (exp.f64 eps) b)) (pow.f64 (exp.f64 eps) b))) -1)
(+.f64 (fma.f64 eps (.f64 a (pow.f64 (exp.f64 eps) b)) (.f64 1/2 (.f64 (pow.f64 (exp.f64 eps) b) (.f64 eps (.f64 eps (.f64 a a)))))) (expm1.f64 (*.f64 b eps)))
(+.f64 (fma.f64 eps (.f64 a (pow.f64 (exp.f64 eps) b)) (.f64 (.f64 (.f64 1/2 (.f64 eps eps)) (pow.f64 (exp.f64 eps) b)) (.f64 a a))) (expm1.f64 (*.f64 b eps)))
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (exp.f64 (.f64 eps b))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b))))) 1)
(+.f64 (fma.f64 eps (.f64 a (pow.f64 (exp.f64 eps) b)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (pow.f64 (exp.f64 eps) b))) (fma.f64 1/2 (.f64 (.f64 (.f64 eps eps) (*.f64 a a)) (pow.f64 (exp.f64 eps) b)) (pow.f64 (exp.f64 eps) b)))) -1)
(+.f64 -1 (+.f64 (fma.f64 1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 eps 3) (pow.f64 (exp.f64 eps) b))) (.f64 1/2 (.f64 (pow.f64 (exp.f64 eps) b) (.f64 eps (.f64 eps (.f64 a a)))))) (.f64 (+.f64 (*.f64 a eps) 1) (pow.f64 (exp.f64 eps) b))))
(+.f64 -1 (+.f64 (fma.f64 1/6 (.f64 (pow.f64 (exp.f64 eps) b) (.f64 (pow.f64 a 3) (pow.f64 eps 3))) (.f64 (.f64 (.f64 1/2 (.f64 eps eps)) (pow.f64 (exp.f64 eps) b)) (.f64 a a))) (.f64 (+.f64 (*.f64 a eps) 1) (pow.f64 (exp.f64 eps) b))))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (exp.f64 (.f64 eps a))) 1)
(+.f64 (.f64 eps (.f64 b (pow.f64 (exp.f64 eps) a))) (expm1.f64 (*.f64 a eps)))
(fma.f64 (.f64 b eps) (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps)))
(fma.f64 (+.f64 (*.f64 b eps) 1) (pow.f64 (exp.f64 eps) a) -1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a)))) 1)
(+.f64 (fma.f64 eps (.f64 b (pow.f64 (exp.f64 eps) a)) (fma.f64 1/2 (.f64 (.f64 (.f64 b b) (*.f64 eps eps)) (pow.f64 (exp.f64 eps) a)) (pow.f64 (exp.f64 eps) a))) -1)
(+.f64 (fma.f64 eps (.f64 b (pow.f64 (exp.f64 eps) a)) (.f64 1/2 (.f64 (pow.f64 (exp.f64 eps) a) (.f64 b (.f64 b (.f64 eps eps)))))) (expm1.f64 (*.f64 a eps)))
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 3) (exp.f64 (.f64 eps a))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a))))) 1)
(+.f64 (fma.f64 eps (.f64 b (pow.f64 (exp.f64 eps) a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 3) (pow.f64 (exp.f64 eps) a))) (fma.f64 1/2 (.f64 (.f64 (.f64 b b) (*.f64 eps eps)) (pow.f64 (exp.f64 eps) a)) (pow.f64 (exp.f64 eps) a)))) -1)
(fma.f64 eps (.f64 b (pow.f64 (exp.f64 eps) a)) (+.f64 (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (.f64 (pow.f64 b 3) (pow.f64 (exp.f64 eps) a)) (.f64 1/2 (.f64 (pow.f64 (exp.f64 eps) a) (.f64 b (.f64 b (.f64 eps eps)))))) (expm1.f64 (*.f64 a eps))))
(fma.f64 eps (.f64 b (pow.f64 (exp.f64 eps) a)) (+.f64 (fma.f64 1/6 (.f64 (pow.f64 b 3) (.f64 (pow.f64 eps 3) (pow.f64 (exp.f64 eps) a))) (.f64 1/2 (.f64 (pow.f64 (exp.f64 eps) a) (.f64 b (.f64 b (.f64 eps eps)))))) (expm1.f64 (*.f64 a eps))))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))

eval136.0ms (0.8%)

Compiler: Compiled 9532 to 3558 computations (62.7% saved)

prune72.0ms (0.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	214	14	228
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	215	14	229

Error

0.0b

Counts

229 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	36.8b	(/.f64 1 b)
	29.9b	(/.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))))
	49.4b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	49.7b	(.f64 eps (/.f64 1 (.f64 eps b)))
▶	51.9b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
	41.1b	(.f64 eps (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 3))
▶	29.3b	(/.f64 1 a)
	59.0b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))
▶	54.0b	(.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	54.7b	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
	54.5b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	10.9b	(/.f64 (/.f64 (+.f64 a b) a) b)
▶	15.0b	(/.f64 (+.f64 a b) (*.f64 a b))
	40.9b	(.f64 eps (/.f64 (/.f64 (+.f64 a b) (.f64 a eps)) b))

Compiler

Compiled 436 to 286 computations (34.4% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) a)
✓	8.1b	(/.f64 (/.f64 (+.f64 a b) a) b)

Compiler

Compiled 20 to 6 computations (70% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (0.4%)

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)))))))

simplify11.0ms (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))

localize4.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.7b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

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	8	204
1	10	204

Stop Event

1×

saturated

Counts

62 → 42

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))

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))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (neg.f64 (*.f64 b eps)))
✓	0.0b	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps)))))
✓	0.0b	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2))
✓	2.5b	(-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps))))

Compiler

Compiled 72 to 32 computations (55.6% saved)

series16.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite337.0ms (1.9%)

Algorithm

4×	egg-rewrite
1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
864×	`add-log-exp_binary64`
864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
742×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	261	44
2	3630	44
0	8	11
1	165	9
2	2106	9
0	12	20
1	261	20
2	3630	20
0	12	20
0	9	14
1	190	12
2	2556	12
0	6	8
1	122	6
2	1540	6

Stop Event

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

Counts

4 → 101

Calls

Call 1

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

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

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

586×	`distribute-neg-in_binary64`
454×	`distribute-rgt-in_binary64`
449×	`distribute-lft-in_binary64`
398×	`associate-+l+_binary64`
382×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1735
1	414	1681
2	1750	1602
3	6468	1518

Stop Event

1×	node limit

Counts

197 → 146

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

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 (.f64 eps b) (.f64 eps 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 (.f64 eps b) (.f64 eps b)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3)) (*.f64 eps b)))
(fma.f64 -1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 1/6 (.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 (.f64 eps b) (.f64 eps 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))))
(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 (.f64 eps b) (.f64 eps 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 (.f64 eps b) (.f64 eps b)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3)) (*.f64 eps b)))
(fma.f64 -1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 1/6 (.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 (.f64 eps b) (.f64 eps 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))))
(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 1 b)
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (.f64 -1/4 b)))) (/.f64 1 b))
(fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b))
(-.f64 (/.f64 1 b) (.f64 (.f64 eps eps) (*.f64 b -1/12)))
(fma.f64 (.f64 (.f64 eps eps) 1/12) b (/.f64 1 b))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/24 (pow.f64 b 2)) (+.f64 (.f64 1/2 (.f64 b (+.f64 (.f64 1/6 b) (.f64 -1/4 b)))) (.f64 1/12 (pow.f64 b 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (.f64 -1/4 b)))) (/.f64 1 b)))
(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)))
(-.f64 (-.f64 (/.f64 1 b) (.f64 (.f64 eps 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)))))
(-.f64 (/.f64 1 b) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (+.f64 (.f64 (.f64 b -1/12) (.f64 b 1/2)) (.f64 (.f64 b b) 1/24))) (*.f64 b -1/12))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/6 b) (.f64 -1/4 b)))) (+.f64 (.f64 1/120 (pow.f64 b 3)) (+.f64 (.f64 -1/48 (pow.f64 b 3)) (.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 1 b))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (fma.f64 -1/6 (.f64 (.f64 b b) (.f64 b -1/12)) (fma.f64 1/120 (pow.f64 b 3) (fma.f64 -1/48 (pow.f64 b 3) (.f64 1/2 (.f64 b (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 (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))))
(-.f64 (-.f64 (-.f64 (/.f64 1 b) (.f64 (.f64 eps 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))))) (.f64 (pow.f64 eps 4) (fma.f64 -1/6 (.f64 (pow.f64 b 3) -1/12) (+.f64 (.f64 b (.f64 (fma.f64 (.f64 b b) -1/24 (fma.f64 1/2 (.f64 (.f64 b b) -1/12) (.f64 (.f64 b b) 1/12))) 1/2)) (*.f64 (pow.f64 b 3) -1/80)))))
(-.f64 (-.f64 (/.f64 1 b) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (+.f64 (.f64 (.f64 b -1/12) (.f64 b 1/2)) (.f64 (.f64 b b) 1/24))) (.f64 b -1/12)))) (.f64 (pow.f64 eps 4) (fma.f64 -1/6 (.f64 (pow.f64 b 3) -1/12) (+.f64 (.f64 b (.f64 1/2 (+.f64 (.f64 (.f64 b -1/12) (.f64 b 1/2)) (.f64 (.f64 b b) 1/24)))) (*.f64 (pow.f64 b 3) -1/80)))))
(-.f64 (/.f64 1 b) (+.f64 (.f64 (pow.f64 eps 4) (fma.f64 -1/6 (.f64 (pow.f64 b 3) -1/12) (+.f64 (.f64 b (.f64 1/2 (+.f64 (.f64 (.f64 b -1/12) (.f64 b 1/2)) (.f64 (.f64 b b) 1/24)))) (.f64 (pow.f64 b 3) -1/80)))) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (+.f64 (.f64 (.f64 b -1/12) (.f64 b 1/2)) (.f64 (.f64 b b) 1/24))) (*.f64 b -1/12)))))
(.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))) 1/2))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))) 1/2))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))) 1/2))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))) 1/2))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))))))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))))))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))))))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))))))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(/.f64 1 b)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) b)) (/.f64 1 b))
(fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b))
(-.f64 (/.f64 1 b) (.f64 (.f64 eps eps) (*.f64 b -1/12)))
(fma.f64 (.f64 (.f64 eps eps) 1/12) b (/.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 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 1 b)))
(-.f64 (-.f64 (/.f64 1 b) (.f64 b (.f64 b (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 (.f64 eps eps) (*.f64 b -1/12)))
(+.f64 (/.f64 1 b) (.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 (.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 1/2 (.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)))) eps)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))))) (.f64 1/120 (pow.f64 eps 4))))) (pow.f64 b 3))) (+.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))))
(fma.f64 -1 (.f64 b (.f64 (.f64 eps eps) -1/12)) (fma.f64 -1 (.f64 (pow.f64 b 3) (fma.f64 1/2 (.f64 eps (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)))) (fma.f64 -1/48 (pow.f64 eps 4) (fma.f64 -1/6 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) -1/12)) (.f64 (pow.f64 eps 4) 1/120))))) (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 1 b))))
(-.f64 (-.f64 (-.f64 (/.f64 1 b) (.f64 b (.f64 b (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 (pow.f64 b 3) (fma.f64 1/2 (.f64 eps (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))))) (fma.f64 (pow.f64 eps 4) -1/48 (fma.f64 (pow.f64 eps 4) 1/120 (.f64 -1/6 (.f64 (pow.f64 eps 4) -1/12))))))) (.f64 (.f64 eps eps) (*.f64 b -1/12)))
(fma.f64 (.f64 (.f64 eps eps) 1/12) b (-.f64 (/.f64 1 b) (.f64 (.f64 b b) (+.f64 (.f64 b (fma.f64 1/2 (.f64 eps (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) -1/12)) (.f64 (pow.f64 eps 3) 1/24))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 4) -1/12)) (.f64 (pow.f64 eps 4) -1/80)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) -1/12)) (*.f64 (pow.f64 eps 3) 1/24))))))
(-.f64 (fma.f64 (.f64 (.f64 eps eps) 1/12) b (/.f64 1 b)) (.f64 (.f64 b b) (+.f64 (.f64 b (fma.f64 1/2 (.f64 eps (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) -1/12)) (.f64 (pow.f64 eps 3) 1/24))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 4) -1/12)) (.f64 (pow.f64 eps 4) -1/80)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) -1/12)) (*.f64 (pow.f64 eps 3) 1/24)))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(.f64 eps (+.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 eps (neg.f64 b))))) -1/2))
(*.f64 eps (+.f64 -1/2 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) (neg.f64 b))))))
(fma.f64 eps -1/2 (/.f64 eps (neg.f64 (expm1.f64 (*.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)))
(-.f64 (fma.f64 eps 1/2 (/.f64 1 b)) (.f64 (.f64 eps eps) (*.f64 b -1/12)))
(fma.f64 eps 1/2 (fma.f64 (.f64 (.f64 eps eps) 1/12) 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))))
(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 (.f64 eps 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 (.f64 b -1/12) (.f64 b 1/2)) (.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 eps (+.f64 (.f64 (.f64 b -1/12) (.f64 b 1/2)) (.f64 (.f64 b b) 1/24))) (*.f64 b -1/12))))
(/.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)))))
(/.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 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 (.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)))
(fma.f64 1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(-.f64 (fma.f64 eps 1/2 (/.f64 1 b)) (.f64 (.f64 eps eps) (*.f64 b -1/12)))
(fma.f64 eps 1/2 (fma.f64 (.f64 (.f64 eps eps) 1/12) b (/.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))))
(fma.f64 -1 (.f64 b (.f64 (.f64 eps eps) -1/12)) (fma.f64 1/2 eps (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 1 b))))
(-.f64 (fma.f64 eps 1/2 (-.f64 (/.f64 1 b) (.f64 b (.f64 b (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 (.f64 eps eps) (*.f64 b -1/12)))
(+.f64 (fma.f64 eps 1/2 (/.f64 1 b)) (.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 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)))))
(/.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)))))
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 b) (.f64 eps b)) 1/2 1) (.f64 eps b))
(-.f64 (fma.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b b) 1) (.f64 eps b))
(+.f64 1 (.f64 b (-.f64 (.f64 b (.f64 eps (.f64 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 b) (*.f64 eps b)) 1/2 1))
(-.f64 (fma.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b b) 1) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3)) (*.f64 eps b)))
(-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b (.f64 (pow.f64 eps 3) -1/6)) (.f64 eps (.f64 eps 1/2)))) (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 b) (.f64 eps b)) 1/2 1) (.f64 eps b))
(-.f64 (fma.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b b) 1) (.f64 eps b))
(+.f64 1 (.f64 b (-.f64 (.f64 b (.f64 eps (.f64 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 b) (*.f64 eps b)) 1/2 1))
(-.f64 (fma.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b b) 1) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3)) (*.f64 eps b)))
(-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b (.f64 (pow.f64 eps 3) -1/6)) (.f64 eps (.f64 eps 1/2)))) (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))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 a eps))
	0.1b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	15.8b	(.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
✓	28.4b	(/.f64 (expm1.f64 (.f64 a eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))

Compiler

Compiled 66 to 12 computations (81.8% saved)

series13.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite136.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`log-prod_binary64`
427×	`pow-prod-down_binary64`
291×	`pow2_binary64`
258×	`pow-unpow_binary64`
211×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	266	24
2	3001	24

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

722×	`associate-r_binary64`
501×	`distribute-rgt-neg-in_binary64`
398×	`distribute-lft-neg-in_binary64`
301×	`distribute-rgt-in_binary64`
295×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1014
1	379	994
2	1518	984
3	5935	980

Stop Event

1×	node limit

Counts

215 → 148

Calls

Call 1

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

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

eval301.0ms (1.7%)

Compiler: Compiled 9328 to 4427 computations (52.5% saved)

prune221.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	449	10	459
Fresh	8	1	9
Picked	1	0	1
Done	2	2	4
Total	460	13	473

Error

Counts

473 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.6b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
	18.7b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (.f64 eps -1/2)))
▶	20.3b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
	36.6b	(+.f64 (/.f64 1 b) (.f64 eps (fma.f64 eps (.f64 b 1/12) -1/2)))
▶	49.6b	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 b) (.f64 -1/4 b))))) 1/2))
✓	15.0b	(/.f64 (+.f64 a b) (*.f64 a b))
▶	2.3b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	49.4b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	36.8b	(/.f64 1 b)
	48.3b	(/.f64 eps (expm1.f64 (*.f64 eps b)))
✓	29.3b	(/.f64 1 a)
	10.9b	(/.f64 (+.f64 (/.f64 b a) 1) b)
	37.9b	(/.f64 (/.f64 b a) b)

Compiler

Compiled 298 to 213 computations (28.5% saved)

localize15.0ms (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)

series4.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite120.0ms (0.7%)

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))))))

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	114
1	10	114

Stop Event

1×

saturated

Counts

59 → 48

Calls

Call 1

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

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

localize7.0ms (0%)

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

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series4.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite96.0ms (0.5%)

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 b))

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	10	24

Stop Event

1×

saturated

Counts

41 → 37

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.7b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
	14.7b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite244.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`fma-def_binary64`
493×	`log-prod_binary64`
333×	`pow-prod-down_binary64`
266×	`fma-neg_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	211	10
2	3356	10

Stop Event

1×	node limit

Counts

1 → 128

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	204
1	10	204

Stop Event

1×

saturated

Counts

152 → 132

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))

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))

localize84.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 eps b))
✓	0.3b	(*.f64 1/6 b)
✓	0.7b	(+.f64 (.f64 1/6 b) (.f64 -1/4 b))
✓	15.9b	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 b) (.f64 -1/4 b))))) 1/2))

Compiler

Compiled 108 to 72 computations (33.3% saved)

series19.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	0	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 b) (.f64 -1/4 b))))) 1/2))
1.0ms	eps	@	inf	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 b) (.f64 -1/4 b))))) 1/2))
1.0ms	eps	@	-inf	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 b) (.f64 -1/4 b))))) 1/2))
1.0ms	b	@	0	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 b) (.f64 -1/4 b))))) 1/2))
1.0ms	b	@	inf	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 b) (.f64 -1/4 b))))) 1/2))

rewrite160.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

475×	`fma-neg_binary64`
325×	`expm1-udef_binary64`
325×	`log1p-udef_binary64`
254×	`log-pow_binary64`
202×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	404	37
2	5718	35

Stop Event

1×	node limit

Counts

4 → 111

Calls

Call 1

Inputs
(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 b) (.f64 -1/4 b))))) 1/2))
(+.f64 (.f64 1/6 b) (.f64 -1/4 b))
(*.f64 1/6 b)
(/.f64 1 (*.f64 eps b))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (.f64 eps b)) eps) (.f64 (fma.f64 b (.f64 -1/12 eps) -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 eps (.f64 b -1/12))) eps) (.f64 -1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (/.f64 1 (.f64 eps b))) (.f64 eps (fma.f64 b (.f64 -1/12 eps) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (+.f64 (/.f64 1 (.f64 eps b)) (.f64 eps (.f64 b -1/12)))) (.f64 eps -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 b (.f64 -1/12 eps) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 eps (.f64 b -1/12))) 3) -1/8) eps) (+.f64 (+.f64 (+.f64 (pow.f64 (.f64 eps b) -2) (pow.f64 (.f64 eps (.f64 b -1/12)) 2)) 1/4) (.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 eps (.f64 b -1/12))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (+.f64 (pow.f64 (.f64 eps b) -2) (pow.f64 (.f64 eps (.f64 b -1/12)) 2)) -1/4) eps) (+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 eps (.f64 b -1/12)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (+.f64 (pow.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 eps (.f64 b -1/12))) 3) -1/8)) (+.f64 (+.f64 (+.f64 (pow.f64 (.f64 eps b) -2) (pow.f64 (.f64 eps (.f64 b -1/12)) 2)) 1/4) (.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 eps (.f64 b -1/12))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (+.f64 (+.f64 (pow.f64 (.f64 eps b) -2) (pow.f64 (.f64 eps (.f64 b -1/12)) 2)) -1/4)) (+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 eps (.f64 b -1/12)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 b (.f64 -1/12 eps) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 b (.f64 -1/12 eps) -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 b (.f64 -1/12 eps) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 eps (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 b (.f64 -1/12 eps) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 b (.f64 -1/12 eps) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 b (.f64 -1/12 eps) -1/2))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 b (.f64 -1/12 eps) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 b (.f64 -1/12 eps) -1/2))) 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 b (.f64 -1/12 eps) -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 b (.f64 -1/12 eps) -1/2)) 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 b (.f64 -1/12 eps) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 eps (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 b (.f64 -1/12 eps) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 eps (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 b (.f64 -1/12 eps) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 eps (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 b (*.f64 -1/12 eps) -1/2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 b -1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 b 1/6) 2) (.f64 b 5/12)) (/.f64 (.f64 1/16 (.f64 b b)) (.f64 b 5/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 b -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b -1/12)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 b -1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 b -1/12)) (pow.f64 (cbrt.f64 (.f64 b -1/12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 b -1/12)) 2) (cbrt.f64 (.f64 b -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 b -1/12)) (sqrt.f64 (.f64 b -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/216 (pow.f64 b 3)) (.f64 -1/64 (pow.f64 b 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 b 1/6) 2) (.f64 (.f64 b -1/4) (-.f64 (.f64 b -1/4) (.f64 b 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 b -1/12) (.f64 b 5/12)) (/.f64 1 (.f64 b 5/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/12 b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 b 1/6) 2) (.f64 (.f64 b -1/4) (-.f64 (.f64 b -1/4) (.f64 b 1/6)))) (+.f64 (.f64 1/216 (pow.f64 b 3)) (.f64 -1/64 (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 b 5/12) (.f64 (.f64 b -1/12) (.f64 b 5/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/216 (pow.f64 b 3)) (.f64 -1/64 (pow.f64 b 3))) (+.f64 (pow.f64 (.f64 b 1/6) 2) (.f64 (.f64 b -1/4) (-.f64 (.f64 b -1/4) (.f64 b 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/216 (pow.f64 b 3)) (.f64 -1/64 (pow.f64 b 3))) (+.f64 (.f64 1/16 (.f64 b b)) (-.f64 (pow.f64 (.f64 b 1/6) 2) (.f64 b (.f64 1/6 (.f64 b -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b -1/12) (.f64 b 5/12)) (.f64 b 5/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 1/216 (pow.f64 b 3)) (.f64 -1/64 (pow.f64 b 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 b 1/6) 2) (.f64 (.f64 b -1/4) (-.f64 (.f64 b -1/4) (.f64 b 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (.f64 b -1/12) (.f64 b 5/12))) (neg.f64 (.f64 b 5/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/16 (.f64 b b) (neg.f64 (pow.f64 (.f64 b 1/6) 2))) (-.f64 (.f64 b -1/4) (.f64 b 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b -1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b -1/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 b -1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 b -1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 b -1/12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 b -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 b -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b 1/6))) (pow.f64 (exp.f64 -1/4) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 1/6) b) (+.f64 1 (expm1.f64 (.f64 b -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b 1/6))) (+.f64 1 (expm1.f64 (.f64 b -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b -1/4))) (pow.f64 (exp.f64 1/6) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 -1/4) b) (+.f64 1 (expm1.f64 (.f64 b 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b -1/4))) (+.f64 1 (expm1.f64 (.f64 b 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 b -1/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 b -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 b -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 b -1/12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b 1/6) (.f64 b -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b -1/4) (.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1/6 (.f64 b -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1/4 (.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 b (.f64 b -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 b (.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 b 1/6)) 2) (cbrt.f64 (.f64 b 1/6)) (.f64 b -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 b -1/4)) 2) (cbrt.f64 (.f64 b -1/4)) (.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b 1/6)) (sqrt.f64 (.f64 b 1/6)) (.f64 b -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b -1/4)) (sqrt.f64 (.f64 b -1/4)) (.f64 b 1/6))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 b 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 b 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 b 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/216 (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 b 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 b 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/216 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 b 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 b 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 b 1/6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (.f64 eps b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 eps b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 eps (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 eps b))) (cbrt.f64 (pow.f64 (.f64 eps b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 eps b) -2)) (/.f64 1 (cbrt.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 eps b) -1/2) (pow.f64 (.f64 eps b) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 eps) (pow.f64 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 eps) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b -1) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 eps b)) 2) -1) (pow.f64 (cbrt.f64 (.f64 eps b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 eps b)) -1) (pow.f64 (sqrt.f64 (.f64 eps b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 eps b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (.f64 eps b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps b) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps b) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps b) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 eps b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (*.f64 eps b))) 1))))))

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1006×	`fma-neg_binary64`
587×	`distribute-rgt-neg-in_binary64`
578×	`fma-def_binary64`
567×	`cancel-sign-sub-inv_binary64`
448×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	436
1	72	424
2	200	380
3	662	368
4	2627	368
5	5650	368
6	7822	368

Stop Event

1×	node limit

Counts

147 → 123

Calls

Call 1

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

Outputs
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (*.f64 -1/4 b)))) (/.f64 1 b)))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 b) (.f64 eps (.f64 eps (*.f64 b -1/12)))))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (+.f64 -1/2 (.f64 b (.f64 eps 1/12))) (/.f64 1 b))
(neg.f64 (fma.f64 eps (fma.f64 b (*.f64 eps -1/12) 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 -1/2 eps (-.f64 (/.f64 1 b) (.f64 eps (.f64 eps (*.f64 b -1/12)))))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (+.f64 -1/2 (.f64 b (.f64 eps 1/12))) (/.f64 1 b))
(neg.f64 (fma.f64 eps (fma.f64 b (*.f64 eps -1/12) 1/2) (/.f64 -1 b)))
(.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (.f64 -1/4 b))))
(neg.f64 (.f64 (.f64 eps eps) (*.f64 b -1/12)))
(.f64 (.f64 eps eps) (neg.f64 (*.f64 b -1/12)))
(.f64 b (.f64 eps (*.f64 eps 1/12)))
(.f64 b (.f64 (*.f64 eps eps) 1/12))
(+.f64 (.f64 -1/2 eps) (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (*.f64 -1/4 b)))))
(fma.f64 -1/2 eps (neg.f64 (.f64 (.f64 eps eps) (*.f64 b -1/12))))
(-.f64 (.f64 -1/2 eps) (.f64 eps (.f64 eps (.f64 b -1/12))))
(.f64 eps (-.f64 -1/2 (.f64 b (*.f64 -1/12 eps))))
(.f64 eps (+.f64 -1/2 (.f64 b (*.f64 eps 1/12))))
(.f64 eps (+.f64 -1/2 (.f64 eps (*.f64 b 1/12))))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (*.f64 -1/4 b)))) (/.f64 1 b)))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 b) (.f64 eps (.f64 eps (*.f64 b -1/12)))))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (+.f64 -1/2 (.f64 b (.f64 eps 1/12))) (/.f64 1 b))
(neg.f64 (fma.f64 eps (fma.f64 b (*.f64 eps -1/12) 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 -1/2 eps (-.f64 (/.f64 1 b) (.f64 eps (.f64 eps (*.f64 b -1/12)))))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (+.f64 -1/2 (.f64 b (.f64 eps 1/12))) (/.f64 1 b))
(neg.f64 (fma.f64 eps (fma.f64 b (*.f64 eps -1/12) 1/2) (/.f64 -1 b)))
(.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (.f64 -1/4 b))))
(neg.f64 (.f64 (.f64 eps eps) (*.f64 b -1/12)))
(.f64 (.f64 eps eps) (neg.f64 (*.f64 b -1/12)))
(.f64 b (.f64 eps (*.f64 eps 1/12)))
(.f64 b (.f64 (*.f64 eps eps) 1/12))
(+.f64 (.f64 -1/2 eps) (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (*.f64 -1/4 b)))))
(fma.f64 -1/2 eps (neg.f64 (.f64 (.f64 eps eps) (*.f64 b -1/12))))
(-.f64 (.f64 -1/2 eps) (.f64 eps (.f64 eps (.f64 b -1/12))))
(.f64 eps (-.f64 -1/2 (.f64 b (*.f64 -1/12 eps))))
(.f64 eps (+.f64 -1/2 (.f64 b (*.f64 eps 1/12))))
(.f64 eps (+.f64 -1/2 (.f64 eps (*.f64 b 1/12))))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (*.f64 -1/4 b)))) (/.f64 1 b)))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 b) (.f64 eps (.f64 eps (*.f64 b -1/12)))))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (+.f64 -1/2 (.f64 b (.f64 eps 1/12))) (/.f64 1 b))
(neg.f64 (fma.f64 eps (fma.f64 b (*.f64 eps -1/12) 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 -1/2 eps (-.f64 (/.f64 1 b) (.f64 eps (.f64 eps (*.f64 b -1/12)))))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (+.f64 -1/2 (.f64 b (.f64 eps 1/12))) (/.f64 1 b))
(neg.f64 (fma.f64 eps (fma.f64 b (*.f64 eps -1/12) 1/2) (/.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 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 b) (.f64 eps (.f64 eps (*.f64 b -1/12)))))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (+.f64 -1/2 (.f64 b (.f64 eps 1/12))) (/.f64 1 b))
(neg.f64 (fma.f64 eps (fma.f64 b (*.f64 eps -1/12) 1/2) (/.f64 -1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 b) (.f64 eps (.f64 eps (*.f64 b -1/12)))))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (+.f64 -1/2 (.f64 b (.f64 eps 1/12))) (/.f64 1 b))
(neg.f64 (fma.f64 eps (fma.f64 b (*.f64 eps -1/12) 1/2) (/.f64 -1 b)))
(.f64 1/12 (.f64 (pow.f64 eps 2) b))
(neg.f64 (.f64 (.f64 eps eps) (*.f64 b -1/12)))
(.f64 (.f64 eps eps) (neg.f64 (*.f64 b -1/12)))
(.f64 b (.f64 eps (*.f64 eps 1/12)))
(.f64 b (.f64 (*.f64 eps eps) 1/12))
(+.f64 (.f64 -1/2 eps) (.f64 1/12 (*.f64 (pow.f64 eps 2) b)))
(fma.f64 -1/2 eps (neg.f64 (.f64 (.f64 eps eps) (*.f64 b -1/12))))
(-.f64 (.f64 -1/2 eps) (.f64 eps (.f64 eps (.f64 b -1/12))))
(.f64 eps (-.f64 -1/2 (.f64 b (*.f64 -1/12 eps))))
(.f64 eps (+.f64 -1/2 (.f64 b (*.f64 eps 1/12))))
(.f64 eps (+.f64 -1/2 (.f64 eps (*.f64 b 1/12))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 b) (.f64 eps (.f64 eps (*.f64 b -1/12)))))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (+.f64 -1/2 (.f64 b (.f64 eps 1/12))) (/.f64 1 b))
(neg.f64 (fma.f64 eps (fma.f64 b (*.f64 eps -1/12) 1/2) (/.f64 -1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 b) (.f64 eps (.f64 eps (*.f64 b -1/12)))))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (+.f64 -1/2 (.f64 b (.f64 eps 1/12))) (/.f64 1 b))
(neg.f64 (fma.f64 eps (fma.f64 b (*.f64 eps -1/12) 1/2) (/.f64 -1 b)))
(.f64 1/12 (.f64 (pow.f64 eps 2) b))
(neg.f64 (.f64 (.f64 eps eps) (*.f64 b -1/12)))
(.f64 (.f64 eps eps) (neg.f64 (*.f64 b -1/12)))
(.f64 b (.f64 eps (*.f64 eps 1/12)))
(.f64 b (.f64 (*.f64 eps eps) 1/12))
(+.f64 (.f64 -1/2 eps) (.f64 1/12 (*.f64 (pow.f64 eps 2) b)))
(fma.f64 -1/2 eps (neg.f64 (.f64 (.f64 eps eps) (*.f64 b -1/12))))
(-.f64 (.f64 -1/2 eps) (.f64 eps (.f64 eps (.f64 b -1/12))))
(.f64 eps (-.f64 -1/2 (.f64 b (*.f64 -1/12 eps))))
(.f64 eps (+.f64 -1/2 (.f64 b (*.f64 eps 1/12))))
(.f64 eps (+.f64 -1/2 (.f64 eps (*.f64 b 1/12))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 b) (.f64 eps (.f64 eps (*.f64 b -1/12)))))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (+.f64 -1/2 (.f64 b (.f64 eps 1/12))) (/.f64 1 b))
(neg.f64 (fma.f64 eps (fma.f64 b (*.f64 eps -1/12) 1/2) (/.f64 -1 b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 b -1/12)) (/.f64 1 b)))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 b) (.f64 eps (.f64 eps (*.f64 b -1/12)))))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (+.f64 -1/2 (.f64 b (.f64 eps 1/12))) (/.f64 1 b))
(neg.f64 (fma.f64 eps (fma.f64 b (*.f64 eps -1/12) 1/2) (/.f64 -1 b)))
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)

eval695.0ms (3.8%)

Compiler: Compiled 6645 to 3647 computations (45.1% saved)

prune202.0ms (1.1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	377	5	382
Fresh	2	4	6
Picked	1	0	1
Done	2	4	6
Total	382	13	395

Error

Counts

395 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.3b	(/.f64 1 a)
	49.5b	(.f64 eps (-.f64 (+.f64 (.f64 (/.f64 1 eps) (/.f64 1 b)) (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 b) (.f64 -1/4 b))))) 1/2))
✓	36.6b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
	18.7b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (.f64 eps -1/2)))
▶	62.1b	(*.f64 -1/2 eps)
	37.9b	(/.f64 (/.f64 b a) b)
	49.4b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
✓	36.8b	(/.f64 1 b)
▶	48.3b	(/.f64 eps (expm1.f64 (*.f64 eps b)))
▶	9.1b	(/.f64 (/.f64 (+.f64 a b) b) a)
▶	39.5b	(-.f64 (+.f64 1 (/.f64 1 b)) 1)
✓	2.3b	(+.f64 (/.f64 1 b) (/.f64 1 a))
▶	49.6b	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (*.f64 b -1/12)))) 1/2))

Compiler

Compiled 280 to 204 computations (27.1% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) b)
✓	6.4b	(/.f64 (/.f64 (+.f64 a b) b) a)

Compiler

Compiled 20 to 6 computations (70% saved)

series32.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	b	@	inf	(/.f64 (+.f64 a b) b)
1.0ms	b	@	-inf	(/.f64 (+.f64 a b) b)
1.0ms	b	@	0	(/.f64 (+.f64 a b) b)
1.0ms	a	@	0	(/.f64 (/.f64 (+.f64 a b) b) a)
1.0ms	a	@	inf	(/.f64 (+.f64 a b) b)

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

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

simplify49.0ms (0.3%)

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 → 78

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

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

localize8.0ms (0%)

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

localize136.0ms (0.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.3b	(-.f64 (+.f64 1 (/.f64 1 b)) 1)

Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`pow1_binary64`
626×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
615×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	139	4
2	2008	4

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	6	48

Stop Event

1×

saturated

Counts

58 → 46

Calls

Call 1

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

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

localize96.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 eps (.f64 b -1/12))
	0.2b	(/.f64 1 (*.f64 eps b))
✓	0.3b	(*.f64 b -1/12)
✓	15.9b	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (*.f64 b -1/12)))) 1/2))

Compiler

Compiled 77 to 49 computations (36.4% saved)

series13.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (*.f64 b -1/12)))) 1/2))
1.0ms	eps	@	-inf	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (*.f64 b -1/12)))) 1/2))
1.0ms	b	@	inf	(.f64 eps (.f64 b -1/12))
1.0ms	eps	@	inf	(.f64 eps (.f64 b -1/12))
1.0ms	eps	@	inf	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (*.f64 b -1/12)))) 1/2))

rewrite276.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`log-prod_binary64`
578×	`fma-def_binary64`
352×	`fma-neg_binary64`
257×	`expm1-udef_binary64`
257×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	324	33
2	4363	31

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs
(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (*.f64 b -1/12)))) 1/2))
(*.f64 b -1/12)
(.f64 eps (.f64 b -1/12))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 eps b)) eps) (*.f64 (fma.f64 eps (*.f64 b -1/12) -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 eps (*.f64 b -1/12) (/.f64 1 (*.f64 eps b))) eps) (*.f64 -1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (/.f64 1 (*.f64 eps b))) (*.f64 eps (fma.f64 eps (*.f64 b -1/12) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (fma.f64 eps (*.f64 b -1/12) (/.f64 1 (*.f64 eps b)))) (*.f64 eps -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2)))) (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 b -1/12) (/.f64 1 (*.f64 eps b))) 3) -1/8) eps) (+.f64 (pow.f64 (fma.f64 eps (*.f64 b -1/12) (/.f64 1 (*.f64 eps b))) 2) (fma.f64 (fma.f64 eps (*.f64 b -1/12) (/.f64 1 (*.f64 eps b))) 1/2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 b -1/12) (/.f64 1 (*.f64 eps b))) 2) -1/4) eps) (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 b (*.f64 eps -1/12) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (pow.f64 (fma.f64 eps (*.f64 b -1/12) (/.f64 1 (*.f64 eps b))) 3) -1/8)) (+.f64 (pow.f64 (fma.f64 eps (*.f64 b -1/12) (/.f64 1 (*.f64 eps b))) 2) (fma.f64 (fma.f64 eps (*.f64 b -1/12) (/.f64 1 (*.f64 eps b))) 1/2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (pow.f64 (fma.f64 eps (*.f64 b -1/12) (/.f64 1 (*.f64 eps b))) 2) -1/4)) (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 b (*.f64 eps -1/12) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2))) 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 eps (*.f64 b -1/12) -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2)) 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 eps (*.f64 b -1/12) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps b)) (fma.f64 eps (*.f64 b -1/12) -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (/.f64 1 (*.f64 eps b)) (*.f64 eps (fma.f64 eps (*.f64 b -1/12) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (fma.f64 eps (*.f64 b -1/12) (/.f64 1 (*.f64 eps b))) (*.f64 eps -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 eps b)) eps (*.f64 (fma.f64 eps (*.f64 b -1/12) -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 eps (*.f64 b -1/12) (/.f64 1 (*.f64 eps b))) eps (*.f64 -1/2 eps))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) b)) (cbrt.f64 (pow.f64 (exp.f64 -1/12) b)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/12) b))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/12) b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b -1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b -1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b -1/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b -1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b -1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b -1/12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/12) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b -1/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b -1/12)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (*.f64 b -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/12) b) eps)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/12) b) eps)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/12) b) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/12) b) eps))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/12) b) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 eps (*.f64 b -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 b -1/12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 b -1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 b -1/12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (*.f64 b -1/12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 b -1/12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 eps (*.f64 b -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 eps b) 2) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/12) b) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 b -1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 b -1/12))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 b -1/12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 b -1/12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 b -1/12) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 b -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 b -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 b -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 b -1/12))) 1))))))

simplify235.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1080×	`sqr-pow_binary64`
639×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`
535×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	576
1	44	552
2	77	552
3	146	548
4	379	504
5	1193	504
6	1841	504
7	2513	504
8	2626	504
9	2759	504
10	2931	504
11	3174	504
12	3489	504
13	3861	504
14	4319	504
15	4906	504
16	5618	504
17	6476	504
18	6902	504
19	7216	504
20	7522	504
21	7600	504
22	7634	504

Stop Event

1×	node limit

Counts

127 → 80

Calls

Call 1

Inputs
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(.f64 1/12 (.f64 (pow.f64 eps 2) b))
(+.f64 (.f64 -1/2 eps) (.f64 1/12 (*.f64 (pow.f64 eps 2) b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(.f64 1/12 (.f64 (pow.f64 eps 2) b))
(+.f64 (.f64 -1/2 eps) (.f64 1/12 (*.f64 (pow.f64 eps 2) b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(.f64 1/12 (.f64 (pow.f64 eps 2) b))
(+.f64 (.f64 -1/2 eps) (.f64 1/12 (*.f64 (pow.f64 eps 2) b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(.f64 1/12 (.f64 (pow.f64 eps 2) b))
(+.f64 (.f64 -1/2 eps) (.f64 1/12 (*.f64 (pow.f64 eps 2) b)))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(*.f64 -1/12 b)
(*.f64 -1/12 b)
(*.f64 -1/12 b)
(*.f64 -1/12 b)
(*.f64 -1/12 b)
(*.f64 -1/12 b)
(*.f64 -1/12 b)
(*.f64 -1/12 b)
(*.f64 -1/12 b)
(*.f64 -1/12 b)
(*.f64 -1/12 b)
(*.f64 -1/12 b)
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 eps b))

Outputs
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 -1/2 eps (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (fma.f64 b (*.f64 eps 1/12) -1/2) (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 -1/2 eps (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (fma.f64 b (*.f64 eps 1/12) -1/2) (/.f64 1 b))
(.f64 1/12 (.f64 (pow.f64 eps 2) b))
(.f64 1/12 (.f64 b (*.f64 eps eps)))
(.f64 b (.f64 1/12 (*.f64 eps eps)))
(.f64 b (.f64 eps (*.f64 eps 1/12)))
(.f64 (.f64 b eps) (*.f64 eps 1/12))
(+.f64 (.f64 -1/2 eps) (.f64 1/12 (*.f64 (pow.f64 eps 2) b)))
(fma.f64 -1/2 eps (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 1/12 (.f64 b (.f64 eps eps)) (*.f64 -1/2 eps))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (*.f64 -1/2 eps))
(.f64 eps (+.f64 -1/2 (.f64 b (*.f64 eps 1/12))))
(.f64 eps (fma.f64 b (.f64 eps 1/12) -1/2))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 -1/2 eps (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (fma.f64 b (*.f64 eps 1/12) -1/2) (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 -1/2 eps (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (fma.f64 b (*.f64 eps 1/12) -1/2) (/.f64 1 b))
(.f64 1/12 (.f64 (pow.f64 eps 2) b))
(.f64 1/12 (.f64 b (*.f64 eps eps)))
(.f64 b (.f64 1/12 (*.f64 eps eps)))
(.f64 b (.f64 eps (*.f64 eps 1/12)))
(.f64 (.f64 b eps) (*.f64 eps 1/12))
(+.f64 (.f64 -1/2 eps) (.f64 1/12 (*.f64 (pow.f64 eps 2) b)))
(fma.f64 -1/2 eps (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 1/12 (.f64 b (.f64 eps eps)) (*.f64 -1/2 eps))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (*.f64 -1/2 eps))
(.f64 eps (+.f64 -1/2 (.f64 b (*.f64 eps 1/12))))
(.f64 eps (fma.f64 b (.f64 eps 1/12) -1/2))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 -1/2 eps (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (fma.f64 b (*.f64 eps 1/12) -1/2) (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 -1/2 eps (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (fma.f64 b (*.f64 eps 1/12) -1/2) (/.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 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 -1/2 eps (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (fma.f64 b (*.f64 eps 1/12) -1/2) (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 -1/2 eps (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (fma.f64 b (*.f64 eps 1/12) -1/2) (/.f64 1 b))
(.f64 1/12 (.f64 (pow.f64 eps 2) b))
(.f64 1/12 (.f64 b (*.f64 eps eps)))
(.f64 b (.f64 1/12 (*.f64 eps eps)))
(.f64 b (.f64 eps (*.f64 eps 1/12)))
(.f64 (.f64 b eps) (*.f64 eps 1/12))
(+.f64 (.f64 -1/2 eps) (.f64 1/12 (*.f64 (pow.f64 eps 2) b)))
(fma.f64 -1/2 eps (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 1/12 (.f64 b (.f64 eps eps)) (*.f64 -1/2 eps))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (*.f64 -1/2 eps))
(.f64 eps (+.f64 -1/2 (.f64 b (*.f64 eps 1/12))))
(.f64 eps (fma.f64 b (.f64 eps 1/12) -1/2))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 -1/2 eps (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (fma.f64 b (*.f64 eps 1/12) -1/2) (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 -1/2 eps (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (fma.f64 b (*.f64 eps 1/12) -1/2) (/.f64 1 b))
(.f64 1/12 (.f64 (pow.f64 eps 2) b))
(.f64 1/12 (.f64 b (*.f64 eps eps)))
(.f64 b (.f64 1/12 (*.f64 eps eps)))
(.f64 b (.f64 eps (*.f64 eps 1/12)))
(.f64 (.f64 b eps) (*.f64 eps 1/12))
(+.f64 (.f64 -1/2 eps) (.f64 1/12 (*.f64 (pow.f64 eps 2) b)))
(fma.f64 -1/2 eps (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 1/12 (.f64 b (.f64 eps eps)) (*.f64 -1/2 eps))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (*.f64 -1/2 eps))
(.f64 eps (+.f64 -1/2 (.f64 b (*.f64 eps 1/12))))
(.f64 eps (fma.f64 b (.f64 eps 1/12) -1/2))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 -1/2 eps (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (fma.f64 b (*.f64 eps 1/12) -1/2) (/.f64 1 b))
(+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 b) (.f64 1/12 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) (.f64 1/12 (.f64 b (*.f64 eps eps))))
(fma.f64 -1/2 eps (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 b)))
(fma.f64 b (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 b)))
(fma.f64 eps (fma.f64 b (*.f64 eps 1/12) -1/2) (/.f64 1 b))
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(*.f64 -1/12 b)
(*.f64 b -1/12)
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))
(.f64 -1/12 (.f64 eps b))
(.f64 -1/12 (.f64 b eps))
(.f64 b (.f64 eps -1/12))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps b))
✓	15.8b	(/.f64 eps (expm1.f64 (*.f64 eps b)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series143.0ms (0.8%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
139.0ms	b	@	-inf	(/.f64 eps (expm1.f64 (*.f64 eps b)))
1.0ms	eps	@	0	(expm1.f64 (*.f64 eps b))
0.0ms	eps	@	0	(/.f64 eps (expm1.f64 (*.f64 eps b)))
0.0ms	eps	@	inf	(expm1.f64 (*.f64 eps b))
0.0ms	b	@	0	(/.f64 eps (expm1.f64 (*.f64 eps b)))

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

96 → 68

Calls

Call 1

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

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

eval115.0ms (0.6%)

Compiler: Compiled 4414 to 2532 computations (42.6% saved)

prune219.0ms (1.2%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	296	2	298
Fresh	1	3	4
Picked	0	1	1
Done	0	8	8
Total	297	14	311

Error

Counts

311 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	36.6b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
	18.7b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (.f64 eps -1/2)))
✓	62.1b	(*.f64 -1/2 eps)
	37.9b	(/.f64 (/.f64 b a) b)
	49.5b	(.f64 eps (-.f64 (+.f64 (.f64 (/.f64 1 eps) (/.f64 1 b)) (.f64 -1 (.f64 eps (*.f64 b -1/12)))) 1/2))
✓	9.1b	(/.f64 (/.f64 (+.f64 a b) b) a)
	49.4b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
✓	36.8b	(/.f64 1 b)
✓	48.3b	(/.f64 eps (expm1.f64 (*.f64 eps b)))
✓	49.6b	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 eps (*.f64 b -1/12)))) 1/2))
	43.6b	(/.f64 (/.f64 a b) a)
✓	29.3b	(/.f64 1 a)
✓	39.5b	(-.f64 (+.f64 1 (/.f64 1 b)) 1)
✓	2.3b	(+.f64 (/.f64 1 b) (/.f64 1 a))

Compiler

Compiled 160 to 117 computations (26.9% saved)

regimes119.0ms (0.7%)

Counts

33 → 3

Calls

Call 1

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

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

Calls

4 calls:

58.0ms	b
21.0ms	a
18.0ms	eps
11.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Results

Error	Segments	Branch
2.3b	1	`a`
2.3b	1	`b`
2.3b	1	`eps`
0.0b	3	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))`

Compiler

Compiled 433 to 217 computations (49.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.470879162425812e-113	+inf
0.0ms	-inf	-4.39095797484601e-41

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes192.0ms (1.1%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	b
18.0ms	eps
17.0ms	a

Results

Error	Segments	Branch
2.3b	1	`a`
2.3b	1	`b`
2.3b	1	`eps`

Compiler

Compiled 325 to 177 computations (45.5% saved)

regimes40.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	a
12.0ms	b
6.0ms	eps

Results

Error	Segments	Branch
4.0b	2	`a`
5.5b	2	`b`
9.1b	1	`eps`

Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch136.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
136.0ms	-8.27479614015424e+90	-1.1717886904070626e+89

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes70.0ms (0.4%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	a
24.0ms	b
6.0ms	eps

Results

Error	Segments	Branch
4.1b	2	`a`
5.7b	2	`b`
9.1b	1	`eps`

Compiler

Compiled 51 to 33 computations (35.3% saved)

bsearch244.0ms (1.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
243.0ms	-8.27479614015424e+90	-1.1717886904070626e+89

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes282.0ms (1.6%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

3 calls:

134.0ms	a
95.0ms	b
50.0ms	eps

Results

Error	Segments	Branch
14.2b	4	`a`
9.8b	4	`b`
22.9b	4	`eps`

Compiler

Compiled 37 to 24 computations (35.1% saved)

bsearch1.2s (6.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
187.0ms	5.673814909484524e-68	1.8175118162278707e-66
345.0ms	3.4942261080524633e-140	4.230664530638945e-130
695.0ms	9.240126775011527e-177	1.649277999003286e-175

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes57.0ms (0.3%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	a
17.0ms	eps
17.0ms	b

Results

Error	Segments	Branch
14.2b	4	`a`
9.8b	4	`b`
22.9b	4	`eps`

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch675.0ms (3.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
187.0ms	5.673814909484524e-68	1.8175118162278707e-66
274.0ms	3.4942261080524633e-140	4.230664530638945e-130
214.0ms	9.240126775011527e-177	1.649277999003286e-175

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes15.0ms (0.1%)

Accuracy

Total -25.7b remaining (-70%)

Threshold costs -25.7b (-70%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 1 b)

Calls

3 calls:

6.0ms	b
4.0ms	a
4.0ms	eps

Results

Error	Segments	Branch
36.8b	1	`a`
36.8b	1	`b`
36.8b	1	`eps`

Compiler

Compiled 24 to 18 computations (25% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	267
1	75	267
2	78	267

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))) 6931674235302037/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -8274796140154240826810113409129736664870012371914136743449572360270506044153087607298850816) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 a -8274796140154240826810113409129736664870012371914136743449572360270506044153087607298850816) (/.f64 1 b) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 1317422803446593/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) (/.f64 1 b) (if (<=.f64 b 1873996500822331/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (/.f64 (/.f64 b a) b) (if (<=.f64 b 1722241207015957/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b 1317422803446593/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) (/.f64 1 b) (if (<=.f64 b 1873996500822331/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (/.f64 1 a) (if (<=.f64 b 1722241207015957/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (/.f64 1 b) (/.f64 1 a))))
(/.f64 1 b)
(*.f64 -1/2 eps)

Outputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (+.f64 (/.f64 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))) 6931674235302037/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))))) (+.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))) 6931674235302037/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -8274796140154240826810113409129736664870012371914136743449572360270506044153087607298850816) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 a -8274796140154240826810113409129736664870012371914136743449572360270506044153087607298850816) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 a -8274796140154240826810113409129736664870012371914136743449572360270506044153087607298850816) (/.f64 1 b) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 1317422803446593/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) (/.f64 1 b) (if (<=.f64 b 1873996500822331/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (/.f64 (/.f64 b a) b) (if (<=.f64 b 1722241207015957/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b 1317422803446593/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) (/.f64 1 b) (if (<=.f64 b 1873996500822331/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (/.f64 1 a) (if (<=.f64 b 1722241207015957/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (/.f64 1 b) (/.f64 1 a))))
(/.f64 1 b)
(*.f64 -1/2 eps)
(*.f64 eps -1/2)

Compiler

Compiled 205 to 133 computations (35.1% saved)

soundness203.0ms (1.1%)

Algorithm

3×	egg-herbie

Rules

986×	`times-frac_binary64`
986×	`times-frac_binary64`
881×	`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	330	5943
1	1129	5861
2	4341	5743
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 404 to 268 computations (33.7% saved)

end93.0ms (0.5%)

Remove: (sort a b)
Compiler: Compiled 362 to 208 computations (42.5% saved)