Details

analyze621.0ms (3.4%)

Algorithm

1×

Search

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample7.6s (40.7%)

Results

4.9s	4172×	body	2048	valid
1.6s	2503×	body	1024	valid
271.0ms	744×	body	512	valid
220.0ms	426×	body	1024	invalid
217.0ms	293×	body	2048	invalid
152.0ms	822×	body	256	valid
146.0ms	746×	body	256	invalid
80.0ms	246×	body	512	invalid
28.0ms	15×	body	4096	valid

preprocess53.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify28.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

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

38.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.5b	(.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)

localize65.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.3b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	14.4b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	24.6b	(.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)

series45.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
10.0ms	a	@	0	(expm1.f64 (*.f64 eps (+.f64 a 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)))))
3.0ms	a	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	eps	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	a	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

rewrite93.0ms (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 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 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 +.f64 0 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps 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simplify162.0ms (0.9%)

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

eval250.0ms (1.3%)

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

prune125.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	215	13	228
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	216	13	229

Error

0.0b

Counts

229 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	50.1b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	38.1b	(.f64 eps (/.f64 (/.f64 (+.f64 a b) (.f64 a eps)) b))
▶	32.7b	(/.f64 1 a)
	39.0b	(.f64 eps (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b))))
▶	9.9b	(/.f64 (/.f64 (+.f64 a b) a) b)
▶	49.1b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	55.5b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
▶	56.3b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))
	55.5b	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
	34.4b	(/.f64 1 b)
▶	16.1b	(/.f64 (+.f64 a b) (*.f64 a b))
	59.0b	(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
	47.9b	(.f64 eps (/.f64 1 (.f64 eps b)))

Compiler

Compiled 384 to 250 computations (34.9% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) a)
✓	5.8b	(/.f64 (/.f64 (+.f64 a b) a) b)

Compiler

Compiled 20 to 6 computations (70% saved)

series11.0ms (0.1%)

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)

rewrite82.0ms (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 exp.f64 (log.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 -.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 exp.f64 (log.f64 (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (log.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 -.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 exp.f64 (log.f64 (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) a)))))))

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	345
1	13	345

Stop Event

1×

saturated

Counts

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))

localize26.0ms (0.1%)

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

localize14.0ms (0.1%)

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)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 (+.f64 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 exp.f64 (log.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))))))))

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	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))

localize65.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.3b	(.f64 a (.f64 b (*.f64 eps eps)))
✓	6.9b	(.f64 b (.f64 eps eps))
✓	14.1b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (.f64 eps eps))))
✓	23.0b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))

Compiler

Compiled 65 to 11 computations (83.1% saved)

series160.0ms (0.9%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
113.0ms	b	@	0	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (.f64 eps eps))))
8.0ms	b	@	0	(.f64 a (.f64 b (*.f64 eps eps)))
3.0ms	a	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))
2.0ms	a	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))
2.0ms	eps	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))

rewrite133.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`log-prod_binary64`
709×	`prod-diff_binary64`
266×	`fma-def_binary64`
238×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	264	62
2	3946	62

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

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

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

simplify127.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

896×	`div-sub_binary64`
712×	`associate-/l*_binary64`
554×	`associate-r_binary64`
449×	`associate-l_binary64`
340×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	2538
1	513	2446
2	1653	2434
3	7222	2434

Stop Event

1×	node limit

Counts

247 → 175

Calls

Call 1

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

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

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps a))
	0.3b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	14.0b	(/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	24.6b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 69 to 12 computations (82.6% saved)

series173.0ms (0.9%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Expression
133.0ms	a	@	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
4.0ms	eps	@	(expm1.f64 (*.f64 eps a))
3.0ms	eps	@	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
3.0ms	b	@	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	a	@	(/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))

rewrite266.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`log-prod_binary64`
509×	`prod-diff_binary64`
260×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`
254×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	279	55
2	4169	55

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify191.0ms (1%)

Algorithm

1×	egg-herbie

Rules

670×	`associate-*l/_binary64`
654×	`associate-/r*_binary64`
280×	`fma-def_binary64`
271×	`associate-r_binary64`
207×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	4640
1	918	4332
2	4002	4010

Stop Event

1×	node limit

Counts

211 → 187

Calls

Call 1

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

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

eval169.0ms (0.9%)

Compiler: Compiled 14360 to 4889 computations (66% saved)

prune265.0ms (1.4%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	516	11	527
Fresh	5	3	8
Picked	1	0	1
Done	1	3	4
Total	523	17	540

Error

Counts

540 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	50.1b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	38.1b	(.f64 eps (/.f64 (/.f64 (+.f64 a b) (.f64 a eps)) b))
✓	32.7b	(/.f64 1 a)
	44.8b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (.f64 eps a) (expm1.f64 (*.f64 eps b)))))
✓	9.9b	(/.f64 (/.f64 (+.f64 a b) a) b)
	38.8b	(/.f64 (/.f64 b a) b)
	44.3b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))))
	49.4b	(.f64 eps (+.f64 (/.f64 (/.f64 1 b) eps) (+.f64 (/.f64 -1/2 (/.f64 (.f64 (/.f64 (.f64 b b) (+.f64 a b)) (.f64 a a)) (.f64 (.f64 a b) (+.f64 a b)))) (/.f64 (/.f64 1 a) eps))))
✓	16.1b	(/.f64 (+.f64 a b) (*.f64 a b))
▶	3.7b	(+.f64 (/.f64 1 b) (/.f64 1 a))
▶	11.1b	(*.f64 (/.f64 1 a) (/.f64 (+.f64 a b) b))
	45.3b	(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 a b))
▶	43.6b	(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 b a))
	20.4b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
▶	34.4b	(/.f64 1 b)
▶	51.4b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 a (.f64 b (*.f64 eps eps)))))
	47.9b	(.f64 eps (/.f64 1 (.f64 eps b)))

Compiler

Compiled 452 to 283 computations (37.4% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	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))

localize3.0ms (0%)

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) b)
✓	6.9b	(*.f64 (/.f64 1 a) (/.f64 (+.f64 a b) b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series30.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	b	@	inf	(/.f64 (+.f64 a b) b)
0.0ms	b	@	-inf	(/.f64 (+.f64 a b) b)
0.0ms	a	@	0	(*.f64 (/.f64 1 a) (/.f64 (+.f64 a b) b))
0.0ms	b	@	0	(/.f64 (+.f64 a b) b)
0.0ms	a	@	inf	(/.f64 (+.f64 a b) b)

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`prod-diff_binary64`
462×	`log-prod_binary64`
364×	`pow-prod-down_binary64`
233×	`pow2_binary64`
182×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	178	17
2	2672	17

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

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

157 → 116

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))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	6.3b	(.f64 a (.f64 b (*.f64 eps eps)))
	6.9b	(.f64 b (.f64 eps eps))
✓	15.4b	(/.f64 (.f64 (+.f64 a b) eps) (.f64 a (.f64 b (.f64 eps eps))))
✓	24.6b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 a (.f64 b (*.f64 eps eps)))))

Compiler

Compiled 57 to 10 computations (82.5% saved)

series8.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite176.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`log-prod_binary64`
509×	`prod-diff_binary64`
235×	`fma-def_binary64`
227×	`expm1-udef_binary64`
227×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	246	41
2	3938	41

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

Outputs

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

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

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	810
1	35	810
2	49	810
3	53	810
4	54	810

Stop Event

1×

saturated

Counts

167 → 108

Calls

Call 1

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

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

localize46.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 b eps))
✓	10.7b	(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 b a))
✓	14.2b	(/.f64 eps (expm1.f64 (*.f64 b eps)))

Compiler

Compiled 32 to 8 computations (75% saved)

series17.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite283.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`log-prod_binary64`
424×	`exp-prod_binary64`
423×	`pow-prod-down_binary64`
266×	`pow2_binary64`
222×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	194	30
2	2800	30

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

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

Outputs

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

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

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

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

931×	`fma-def_binary64`
902×	`fma-neg_binary64`
344×	`distribute-rgt-in_binary64`
342×	`*-commutative_binary64`
338×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1284
1	402	1247
2	1659	1204
3	6762	1204

Stop Event

1×	node limit

Counts

236 → 186

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

eval199.0ms (1.1%)

Compiler: Compiled 7917 to 2694 computations (66% saved)

prune142.0ms (0.8%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	490	8	498
Fresh	3	6	9
Picked	1	0	1
Done	3	4	7
Total	497	18	515

Error

Counts

515 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.7b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	47.9b	(.f64 eps (/.f64 1 (.f64 eps b)))
▶	11.0b	(/.f64 1 (/.f64 a (/.f64 (+.f64 a b) b)))
	50.1b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	44.8b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (.f64 eps a) (expm1.f64 (*.f64 eps b)))))
	39.2b	(+.f64 (.f64 -1/2 (/.f64 (.f64 eps b) a)) (/.f64 1 a))
✓	32.7b	(/.f64 1 a)
▶	43.5b	(/.f64 (/.f64 eps (expm1.f64 (*.f64 eps b))) (/.f64 a b))
	44.3b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))))
	11.1b	(/.f64 (/.f64 (+.f64 a b) b) a)
✓	16.1b	(/.f64 (+.f64 a b) (*.f64 a b))
	46.9b	(/.f64 (.f64 eps (+.f64 a b)) (/.f64 a (/.f64 (/.f64 eps (.f64 eps eps)) b)))
	45.3b	(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 a b))
▶	20.4b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
✓	34.4b	(/.f64 1 b)
▶	38.8b	(/.f64 (/.f64 b a) b)
	16.1b	(/.f64 (+.f64 a b) (/.f64 a (/.f64 1 b)))
▶	10.5b	(/.f64 (/.f64 1 a) (/.f64 b (+.f64 a b)))

Compiler

Compiled 418 to 268 computations (35.9% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (+.f64 a b))
✓	6.4b	(/.f64 (/.f64 1 a) (/.f64 b (+.f64 a b)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(/.f64 b (+.f64 a b))
1.0ms	b	@	inf	(/.f64 b (+.f64 a b))
1.0ms	b	@	0	(/.f64 b (+.f64 a b))
0.0ms	a	@	inf	(/.f64 b (+.f64 a b))
0.0ms	a	@	-inf	(/.f64 b (+.f64 a b))

rewrite207.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`prod-diff_binary64`
504×	`log-prod_binary64`
325×	`pow-prod-down_binary64`
244×	`pow2_binary64`
186×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	184	17
2	2851	17

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

734×	`associate-/l*_binary64`
702×	`fma-def_binary64`
546×	`associate-/r*_binary64`
516×	`associate-*l/_binary64`
387×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	675
1	106	642
2	308	591
3	1341	549

Stop Event

1×	node limit

Counts

154 → 124

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.1b	(/.f64 (/.f64 b a) b)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96
1	6	96

Stop Event

1×

saturated

Counts

62 → 39

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 a (/.f64 (+.f64 a b) b)))
	0.0b	(/.f64 (+.f64 a b) b)
✓	6.8b	(/.f64 a (/.f64 (+.f64 a b) b))

Compiler

Compiled 30 to 9 computations (70% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite118.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
500×	`prod-diff_binary64`
314×	`pow-prod-down_binary64`
243×	`pow2_binary64`
185×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	184	20
2	2841	20

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	636
1	105	606
2	292	570
3	1217	546
4	6949	546

Stop Event

1×	node limit

Counts

160 → 130

Calls

Call 1

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.4b	(-.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)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite128.0ms (0.7%)

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 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 log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) (*.f64 a b))))))) (#(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)))))

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	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))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps b))
✓	11.2b	(/.f64 (/.f64 eps (expm1.f64 (*.f64 eps b))) (/.f64 a b))
✓	14.2b	(/.f64 eps (expm1.f64 (*.f64 eps b)))

Compiler

Compiled 32 to 8 computations (75% saved)

series6.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
380×	`pow-prod-down_binary64`
272×	`pow2_binary64`
215×	`pow-unpow_binary64`
196×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	197	30
2	2974	30

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs

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

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

931×	`fma-def_binary64`
902×	`fma-neg_binary64`
344×	`distribute-rgt-in_binary64`
342×	`*-commutative_binary64`
338×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1284
1	402	1247
2	1659	1204
3	6762	1204

Stop Event

1×	node limit

Counts

222 → 172

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

eval410.0ms (2.2%)

Compiler: Compiled 10351 to 3943 computations (61.9% saved)

prune399.0ms (2.2%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	678	8	686
Fresh	3	6	9
Picked	0	1	1
Done	3	5	8
Total	684	20	704

Error

Counts

704 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.7b	(/.f64 1 a)
	44.8b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (.f64 eps a) (expm1.f64 (*.f64 eps b)))))
✓	43.5b	(/.f64 (/.f64 eps (expm1.f64 (*.f64 eps b))) (/.f64 a b))
	10.5b	(/.f64 (/.f64 1 a) (*.f64 (/.f64 1 (+.f64 a b)) b))
	42.0b	(/.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (/.f64 a b))
	41.2b	(/.f64 (/.f64 1 a) (/.f64 b a))
	32.6b	(/.f64 (/.f64 1 a) (-.f64 1 (/.f64 a b)))
✓	34.4b	(/.f64 1 b)
	41.7b	(/.f64 1 (/.f64 a (/.f64 a b)))
✓	38.8b	(/.f64 (/.f64 b a) b)
	43.7b	(.f64 (/.f64 (neg.f64 eps) (expm1.f64 (.f64 eps b))) (/.f64 1 (/.f64 (neg.f64 a) b)))
	44.3b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))))
	11.1b	(/.f64 (/.f64 (+.f64 a b) b) a)
✓	16.1b	(/.f64 (+.f64 a b) (*.f64 a b))
✓	3.7b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	50.1b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	45.3b	(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 a b))
	37.6b	(-.f64 (+.f64 1 (/.f64 1 b)) 1)
	16.1b	(/.f64 (+.f64 a b) (/.f64 a (/.f64 1 b)))
	34.0b	(/.f64 1 (-.f64 b (/.f64 b (/.f64 a b))))

Compiler

Compiled 244 to 165 computations (32.4% saved)

regimes412.0ms (2.2%)

Counts

42 → 3

Calls

Call 1

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

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

Calls

4 calls:

216.0ms	b
105.0ms	eps
58.0ms	(/.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)))
21.0ms	a

Results

Error	Segments	Branch
3.7b	1	`a`
2.6b	2	`b`
3.7b	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 526 to 231 computations (56.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5307584082936164e-28	+inf
0.0ms	-inf	-2.0146465302661802e-25

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes438.0ms (2.4%)

Counts

40 → 2

Calls

Call 1

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

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

Calls

3 calls:

193.0ms	b
119.0ms	eps
70.0ms	a

Results

Error	Segments	Branch
3.7b	1	`a`
2.6b	2	`b`
3.7b	1	`eps`

Compiler

Compiled 457 to 198 computations (56.7% saved)

bsearch2.3s (12.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
2.3s	-1.2078359975829507e+40	-5.62009200767297e+34

Compiler

Compiled 312 to 213 computations (31.7% saved)

regimes58.0ms (0.3%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	eps
16.0ms	b
16.0ms	a

Results

Error	Segments	Branch
3.7b	1	`a`
3.7b	1	`b`
3.7b	1	`eps`

Compiler

Compiled 321 to 149 computations (53.6% saved)

regimes69.0ms (0.4%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	b
23.0ms	a
18.0ms	eps

Results

Error	Segments	Branch
4.5b	2	`a`
5.5b	2	`b`
9.8b	3	`eps`

Compiler

Compiled 64 to 40 computations (37.5% saved)

bsearch829.0ms (4.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
829.0ms	-4.4849604061796495e+108	-6.177717950932328e+96

Compiler

Compiled 213 to 154 computations (27.7% saved)

regimes69.0ms (0.4%)

Accuracy

Total -51.0b remaining (-438%)

Threshold costs -51.0b (-438%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	eps
16.0ms	a
15.0ms	b

Results

Error	Segments	Branch
11.6b	2	`a`
12.6b	2	`b`
24.1b	6	`eps`

Compiler

Compiled 57 to 37 computations (35.1% saved)

bsearch172.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
171.0ms	-1.1434081425236684e-63	-4.598025148524614e-65

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	220
1	69	220
2	72	220

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))) 8920298079412249/44601490397061246283071436545296723011960832) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b -11999999999999999880972906266552730386432) (.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (.f64 eps a) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -6199999999999999621429878227566788845790870446119243017623243243621890131269213115585986337701888) (/.f64 1 b) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 a -2118361882780393/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)

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))) 8920298079412249/44601490397061246283071436545296723011960832) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) -inf.0) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) 8920298079412249/44601490397061246283071436545296723011960832) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b -11999999999999999880972906266552730386432) (.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (.f64 eps a) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(if (<=.f64 b -11999999999999999880972906266552730386432) (.f64 eps (/.f64 (.f64 eps (+.f64 a b)) (.f64 (.f64 eps a) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -6199999999999999621429878227566788845790870446119243017623243243621890131269213115585986337701888) (/.f64 1 b) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 a -2118361882780393/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)

Compiler

Compiled 165 to 103 computations (37.6% saved)

soundness214.0ms (1.2%)

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)

end218.0ms (1.2%)

Remove: (sort a b)
Compiler: Compiled 328 to 182 computations (44.5% saved)