Details

analyze566.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample11.4s (58.9%)

Results

6.7s	4194×	body	2048	valid
3.0s	2523×	body	1024	valid
481.0ms	756×	body	512	valid
467.0ms	411×	body	1024	unsamplable
337.0ms	752×	body	256	unsamplable
228.0ms	267×	body	2048	unsamplable
172.0ms	776×	body	256	valid
75.0ms	205×	body	512	unsamplable
11.0ms	7×	body	4096	valid
3.0ms	2×	body	2048	infinite

Bogosity

preprocess52.0ms (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)

localize20.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
	0.0b	(expm1.f64 (*.f64 eps a))
	0.0b	(*.f64 eps (+.f64 a b))
	0.0b	(expm1.f64 (*.f64 eps b))
✓	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.1b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	15.8b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	25.7b	(.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
5.0ms	eps	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
4.0ms	eps	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
4.0ms	a	@	0	(expm1.f64 (*.f64 eps (+.f64 a b)))
3.0ms	eps	@	0	(.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)))))

rewrite108.0ms (0.6%)

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 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simplify139.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

264 → 228

Calls

Call 1

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

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

eval144.0ms (0.7%)

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

prune46.0ms (0.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	217	11	228
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	218	11	229

Error

0.0b

Counts

229 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	48.5b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	40.2b	(.f64 eps (/.f64 (/.f64 (+.f64 a b) (.f64 a eps)) b))
	52.1b	(.f64 eps (/.f64 (.f64 eps (+.f64 a b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	16.9b	(/.f64 (+.f64 a b) (*.f64 a b))
▶	55.4b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
	34.2b	(/.f64 1 a)
	58.8b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))
	56.4b	(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
▶	47.7b	(.f64 eps (/.f64 1 (.f64 eps a)))
▶	32.8b	(/.f64 1 b)
▶	10.1b	(/.f64 (/.f64 (+.f64 a b) a) b)

Compiler

Compiled 316 to 204 computations (35.4% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.1b	(/.f64 (/.f64 (+.f64 a b) a) b)
	0.0b	(/.f64 (+.f64 a b) a)
✓	0.0b	(/.f64 (+.f64 a b) a)
✓	5.1b	(/.f64 (/.f64 (+.f64 a b) a) b)

Compiler

Compiled 20 to 6 computations (70% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

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

Outputs

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

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	345
1	13	345

Stop Event

1×

saturated

Counts

119 → 79

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	15.4b	(.f64 eps (/.f64 1 (.f64 eps a)))
	0.2b	(/.f64 1 (*.f64 eps a))
✓	0.2b	(/.f64 1 (*.f64 eps a))
✓	15.4b	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96
1	6	96

Stop Event

1×

saturated

Counts

75 → 52

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	25.8b	(.f64 eps (/.f64 (/.f64 (+.f64 a b) (.f64 a eps)) b))
	7.3b	(/.f64 (/.f64 (+.f64 a b) (*.f64 a eps)) b)
	6.1b	(/.f64 (+.f64 a b) (*.f64 a eps))
✓	6.1b	(/.f64 (+.f64 a b) (*.f64 a eps))
✓	7.3b	(/.f64 (/.f64 (+.f64 a b) (*.f64 a eps)) b)
✓	25.8b	(.f64 eps (/.f64 (/.f64 (+.f64 a b) (.f64 a eps)) b))

Compiler

Compiled 39 to 8 computations (79.5% saved)

series41.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
28.0ms	a	@	0	(/.f64 (+.f64 a b) (*.f64 a eps))
1.0ms	eps	@	0	(.f64 eps (/.f64 (/.f64 (+.f64 a b) (.f64 a eps)) b))
1.0ms	eps	@	0	(/.f64 (/.f64 (+.f64 a b) (*.f64 a eps)) b)
1.0ms	eps	@	inf	(/.f64 (/.f64 (+.f64 a b) (*.f64 a eps)) b)
1.0ms	b	@	0	(/.f64 (/.f64 (+.f64 a b) (*.f64 a eps)) b)

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary64`
500×	`prod-diff_binary64`
294×	`pow2_binary64`
223×	`pow-unpow_binary64`
223×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	206	39
2	3311	39

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

Outputs

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

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

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

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	1197
1	42	1197
2	56	1197
3	59	1197
4	60	1197

Stop Event

1×

saturated

Counts

235 → 147

Calls

Call 1

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

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.9b	(-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps))))
	0.0b	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps)))))
✓	0.0b	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps)))))
✓	2.9b	(-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps))))

Compiler

Compiled 72 to 32 computations (55.6% saved)

series87.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
79.0ms	eps	@	0	(-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps))))
2.0ms	b	@	0	(-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps))))
1.0ms	eps	@	-inf	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps)))))
1.0ms	eps	@	inf	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps)))))
1.0ms	b	@	0	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps)))))

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
864×	`add-log-exp_binary64`
864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	190	21
2	2556	21

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

747×	`fma-neg_binary64`
613×	`distribute-rgt-in_binary64`
594×	`fma-def_binary64`
558×	`associate-l_binary64`
482×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	696
1	244	692
2	933	678
3	4767	646

Stop Event

1×	node limit

Counts

111 → 82

Calls

Call 1

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

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

eval186.0ms (1%)

Compiler: Compiled 5642 to 2407 computations (57.3% saved)

prune111.0ms (0.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	353	7	360
Fresh	3	3	6
Picked	1	0	1
Done	2	2	4
Total	359	12	371

Error

Counts

371 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	48.5b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	35.8b	(/.f64 (/.f64 eps a) eps)
	47.2b	(/.f64 eps (*.f64 eps a))
	56.4b	(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
▶	4.4b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
▶	55.4b	(.f64 eps (/.f64 (/.f64 b (.f64 eps a)) b))
	48.6b	(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
▶	34.2b	(/.f64 1 a)
▶	4.7b	(+.f64 (/.f64 1 a) (/.f64 1 b))
✓	32.8b	(/.f64 1 b)
✓	10.1b	(/.f64 (/.f64 (+.f64 a b) a) b)
	16.9b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 262 to 177 computations (32.4% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

series12.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
0.0ms	eps	@	inf	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
0.0ms	eps	@	0	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
0.0ms	b	@	0	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
0.0ms	a	@	inf	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 91

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

127 → 103

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	13.0b	(/.f64 (/.f64 eps a) eps)
✓	13.0b	(/.f64 (/.f64 eps a) eps)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite97.0ms (0.5%)

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 eps a) eps)

Outputs

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96
1	6	96

Stop Event

1×

saturated

Counts

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)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	114
1	10	114

Stop Event

1×

saturated

Counts

59 → 48

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 1 b)
(/.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 1 b)
(/.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))

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	15.4b	(.f64 eps (/.f64 (/.f64 b (.f64 eps a)) b))
	8.8b	(/.f64 (/.f64 b (*.f64 eps a)) b)
	6.2b	(/.f64 b (*.f64 eps a))
✓	6.2b	(/.f64 b (*.f64 eps a))
✓	8.8b	(/.f64 (/.f64 b (*.f64 eps a)) b)
✓	15.4b	(.f64 eps (/.f64 (/.f64 b (.f64 eps a)) b))

Compiler

Compiled 30 to 7 computations (76.7% saved)

series38.0ms (0.2%)

Counts

3 → 72

Calls

27 calls:

Time	Variable		Point	Expression
28.0ms	a	@	inf	(.f64 eps (/.f64 (/.f64 b (.f64 eps a)) b))
1.0ms	b	@	inf	(/.f64 b (*.f64 eps a))
1.0ms	eps	@	inf	(/.f64 b (*.f64 eps a))
1.0ms	b	@	0	(/.f64 (/.f64 b (*.f64 eps a)) b)
1.0ms	b	@	-inf	(/.f64 b (*.f64 eps a))

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
416×	`exp-prod_binary64`
393×	`pow-prod-down_binary64`
243×	`pow2_binary64`
208×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	174	30
2	2618	21

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

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

Outputs

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

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

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	396
1	12	396
2	13	396

Stop Event

1×

saturated

Counts

235 → 166

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

eval313.0ms (1.6%)

Compiler: Compiled 4933 to 2747 computations (44.3% saved)

prune104.0ms (0.5%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	346	10	356
Fresh	2	3	5
Picked	1	0	1
Done	1	5	6
Total	350	18	368

Error

Counts

368 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	48.5b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	61.8b	(*.f64 -1/2 eps)
✓	35.8b	(/.f64 (/.f64 eps a) eps)
✓	34.2b	(/.f64 1 a)
	54.2b	(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)
✓	4.7b	(+.f64 (/.f64 1 a) (/.f64 1 b))
▶	33.9b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
	48.6b	(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
	47.2b	(/.f64 eps (*.f64 eps a))
	33.6b	(exp.f64 (log.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))
✓	10.1b	(/.f64 (/.f64 (+.f64 a b) a) b)
▶	60.0b	(log.f64 (exp.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))
	46.3b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3))
▶	35.1b	(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))) 1)
▶	5.6b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
	56.4b	(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
✓	32.8b	(/.f64 1 b)
	16.9b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 410 to 305 computations (25.6% saved)

localize164.0ms (0.8%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.7b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
	0.6b	(cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))
	0.0b	(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
✓	0.0b	(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
✓	0.6b	(cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))
✓	0.7b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)

Compiler

Compiled 55 to 39 computations (29.1% saved)

series42.0ms (0.2%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	(cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))
6.0ms	eps	@	0	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
5.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
4.0ms	a	@	inf	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
4.0ms	b	@	inf	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	280	44
2	3194	44

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

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

Outputs

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

simplify297.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	6698
1	1410	5732
2	5150	5382

Stop Event

1×	node limit

Counts

231 → 168

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) (pow.f64 a 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))))))))
(+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (/.f64 (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3))))))) (pow.f64 a 3))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/9) (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) (pow.f64 a 3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)))) (pow.f64 a 3)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) (pow.f64 a 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))))))))))))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) a)) (.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) a)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) (pow.f64 a 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2))))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) a)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (+.f64 (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)))))))) (+.f64 (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)))) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/9) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)))))))) (pow.f64 a 3))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) (pow.f64 a 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))))))))
(pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3)
(+.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/9) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/3))) (.f64 -1/6 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 4)) 1/9))) eps))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 4)) 1/9) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/3))) (+.f64 (.f64 1/18 (pow.f64 (/.f64 (.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b))) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) 1/9)) (.f64 (pow.f64 (.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3) (+.f64 (.f64 -1/18 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (+.f64 (/.f64 1 a) (/.f64 1 b))) 1/9) (pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 4)) 1/9))))))) (+.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/9) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/3))) (.f64 -1/6 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 4)) 1/9))) eps)))
(+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)) 1/9) (+.f64 (.f64 -1/18 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (+.f64 (/.f64 1 a) (/.f64 1 b))) 1/9) (pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 4)) 1/9))))) (+.f64 (.f64 1/108 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) 1/3))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b))) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) 1/3) (+.f64 (.f64 1/108 (pow.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 5))) 1/9)) (+.f64 (.f64 -1/216 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)) 1/3)) (.f64 1/54 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 5) (+.f64 (/.f64 1 b) (/.f64 1 a)))) 1/9)))))) (+.f64 (.f64 1/216 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 5) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 4))) 1/9)) (.f64 1/216 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 4) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 5))) 1/9)))) (pow.f64 (.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3)) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/54 (pow.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 5))) 1/9)) (+.f64 (.f64 1/108 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 5) (+.f64 (/.f64 1 a) (/.f64 1 b)))) 1/9)) (.f64 -1/216 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) 1/3)))))))))) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 4)) 1/9) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/3))) (+.f64 (.f64 1/18 (pow.f64 (/.f64 (.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b))) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) 1/9)) (.f64 (pow.f64 (.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3) (+.f64 (.f64 -1/18 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (+.f64 (/.f64 1 a) (/.f64 1 b))) 1/9) (pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 4)) 1/9))))))) (+.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/9) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/3))) (.f64 -1/6 (pow.f64 (.f64 1 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 4)) 1/9))) eps))))
(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (pow.f64 1 1/3))
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(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (pow.f64 1 1/3))
(+.f64 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (pow.f64 1 1/3)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 4) 1) 1/9)) (.f64 -2/3 (pow.f64 (.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 4) 1) 1/9))) b)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (pow.f64 1 1/3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 4) 1) 1/9)) (.f64 -2/3 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 4) 1) 1/9))) b)) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1) 1/3) (/.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 4)) 1/9))) (pow.f64 b 2))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) 1/9) (/.f64 1 (pow.f64 b 2)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) 1/9) (/.f64 1 (pow.f64 b 2))))))))
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(pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 1/3)
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/9) (/.f64 1 a))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/9) (/.f64 1 a))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 7)) 1/9) (/.f64 1 (pow.f64 a 2))))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/9) (/.f64 1 a))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 7)) 1/9) (/.f64 1 (pow.f64 a 2)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3) (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)))) (pow.f64 a 3)))))))
(pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 1/3)
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/9) (/.f64 1 a))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/9) (/.f64 1 a))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 7)) 1/9) (/.f64 1 (pow.f64 a 2))))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/9) (/.f64 1 a))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 7)) 1/9) (/.f64 1 (pow.f64 a 2)))) (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)))) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3))))))
(pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/3)
(+.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/3) (.f64 -1/6 (.f64 eps (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) 1/9))))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 4)) 1/9) (pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3)))) (+.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/3) (.f64 -1/6 (*.f64 eps (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) 1/9)))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/108 (pow.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 5))) 1/9)) (+.f64 (.f64 -1/216 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2)) 1/3)) (.f64 1/54 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 5) (+.f64 (/.f64 1 b) (/.f64 1 a)))) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) 1/3))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 4)) 1/9) (pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3)))) (+.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1/3) (.f64 -1/6 (*.f64 eps (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) 1/9))))))
(pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 1/3)
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 7)) 1/9) (/.f64 1 (pow.f64 b 2))))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))) (+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (pow.f64 b 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 7)) 1/9) (/.f64 1 (pow.f64 b 2)))))))
(pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 1/3)
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 7)) 1/9) (/.f64 1 (pow.f64 b 2))))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3) (/.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (pow.f64 b 3)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 7)) 1/9) (/.f64 1 (pow.f64 b 2)))))))
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))

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

localize7.0ms (0%)

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

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series3.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite220.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	10	24

Stop Event

1×

saturated

Counts

41 → 37

Calls

Call 1

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

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

localize40.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.9b	(log.f64 (exp.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))
	0.0b	(exp.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))
	0.0b	(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
	0.0b	(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
✓	0.0b	(exp.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))
✓	3.9b	(log.f64 (exp.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))

Compiler

Compiled 53 to 37 computations (30.2% saved)

series7.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`prod-diff_binary64`
488×	`log-prod_binary64`
303×	`pow-prod-down_binary64`
288×	`pow2_binary64`
232×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	237	30
2	2905	30

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

Inputs
(log.f64 (exp.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))
(exp.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))

Outputs

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

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

704×	`associate-l_binary64`
648×	`times-frac_binary64`
501×	`associate-r_binary64`
480×	`associate-/l*_binary64`
347×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	1425
1	178	1387
2	474	1281
3	1607	1232
4	6855	1231
5	7664	1231

Stop Event

1×	node limit

Counts

180 → 145

Calls

Call 1

Inputs
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) a) (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) a) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 a 2))) (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) a) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 a 2))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 a 3))) (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))))))
(exp.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) a) (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) a) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 a 2))) (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) a) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 a 2))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (pow.f64 a 3))) (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))))))
(exp.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 -1/2 (.f64 eps (exp.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))))) (exp.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (.f64 -1/2 (.f64 eps (exp.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))))) (+.f64 (.f64 1/8 (.f64 (pow.f64 eps 2) (exp.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))))) (exp.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(+.f64 (.f64 -1/2 (.f64 eps (exp.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))))) (+.f64 (.f64 1/8 (.f64 (pow.f64 eps 2) (exp.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (exp.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))))) (exp.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))))))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 1 a)))
(exp.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(+.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) b))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (pow.f64 b 2))) (+.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) b)))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (pow.f64 b 2))) (+.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) b))))
(exp.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(+.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) b))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (pow.f64 b 2))) (+.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) b)))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (pow.f64 b 2))) (+.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (/.f64 (exp.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) b))))

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

localize99.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.9b	(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))) 1)
	2.5b	(exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))
	0.0b	(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
	0.0b	(log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))
✓	0.0b	(log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))
	0.0b	(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
✓	2.5b	(exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))
✓	2.9b	(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))) 1)

Compiler

Compiled 67 to 48 computations (28.4% saved)

series197.0ms (1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
111.0ms	a	@	-inf	(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))) 1)
16.0ms	a	@	inf	(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))) 1)
13.0ms	eps	@	0	(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))) 1)
13.0ms	b	@	inf	(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))) 1)
10.0ms	b	@	-inf	(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))) 1)

rewrite255.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`prod-diff_binary64`
542×	`log-prod_binary64`
321×	`pow2_binary64`
300×	`fma-def_binary64`
222×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	279	47
2	3416	47

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

Inputs

(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))) 1)

(exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))

(log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))

Outputs

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

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

653×	`times-frac_binary64`
520×	`associate-/l*_binary64`
492×	`associate-/r*_binary64`
317×	`fma-def_binary64`
293×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	3159
1	1009	2882
2	3723	2741

Stop Event

1×	node limit

Counts

263 → 273

Calls

Call 1

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

Outputs
(-.f64 (pow.f64 a -1) 1)
(+.f64 (/.f64 1 a) -1)
(+.f64 -1 (/.f64 1 a))
(-.f64 (+.f64 (pow.f64 a -1) (.f64 (+.f64 (.f64 -1/2 (/.f64 eps a)) (+.f64 (/.f64 1 a) (/.f64 1 (*.f64 a b)))) a)) 1)
(+.f64 (/.f64 1 a) (-.f64 (.f64 a (fma.f64 -1/2 (/.f64 eps a) (+.f64 (/.f64 1 a) (/.f64 1 (.f64 a b))))) 1))
(+.f64 -1 (fma.f64 a (fma.f64 -1/2 (/.f64 eps a) (+.f64 (/.f64 1 a) (/.f64 1 (*.f64 a b)))) (/.f64 1 a)))
(+.f64 -1 (fma.f64 a (+.f64 (/.f64 1 (*.f64 a b)) (fma.f64 -1/2 (/.f64 eps a) (/.f64 1 a))) (/.f64 1 a)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 2) a)) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 2) a))) (pow.f64 a 2)) (+.f64 (pow.f64 a -1) (.f64 (+.f64 (.f64 -1/2 (/.f64 eps a)) (+.f64 (/.f64 1 a) (/.f64 1 (.f64 a b)))) a))) 1)
(+.f64 (/.f64 1 a) (-.f64 (.f64 a (fma.f64 -1/2 (/.f64 eps a) (+.f64 (/.f64 1 a) (/.f64 1 (.f64 a b))))) 1))
(+.f64 -1 (fma.f64 a (fma.f64 -1/2 (/.f64 eps a) (+.f64 (/.f64 1 a) (/.f64 1 (*.f64 a b)))) (/.f64 1 a)))
(+.f64 -1 (fma.f64 a (+.f64 (/.f64 1 (*.f64 a b)) (fma.f64 -1/2 (/.f64 eps a) (/.f64 1 a))) (/.f64 1 a)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 2) a)) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 2) a))) (pow.f64 a 2)) (+.f64 (pow.f64 a -1) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 3) a)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 3) a)) (.f64 1/6 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 3) a))))) (.f64 (+.f64 (.f64 -1/2 (/.f64 eps a)) (+.f64 (/.f64 1 a) (/.f64 1 (*.f64 a b)))) a)))) 1)
(+.f64 (/.f64 1 a) (-.f64 (.f64 a (fma.f64 -1/2 (/.f64 eps a) (+.f64 (/.f64 1 a) (/.f64 1 (.f64 a b))))) 1))
(+.f64 -1 (fma.f64 a (fma.f64 -1/2 (/.f64 eps a) (+.f64 (/.f64 1 a) (/.f64 1 (*.f64 a b)))) (/.f64 1 a)))
(+.f64 -1 (fma.f64 a (+.f64 (/.f64 1 (*.f64 a b)) (fma.f64 -1/2 (/.f64 eps a) (/.f64 1 a))) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (pow.f64 b -1))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (pow.f64 b -1)) (/.f64 1 a))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (pow.f64 b -1)) (/.f64 1 a))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (pow.f64 b -1)) (/.f64 1 a))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (pow.f64 b -1))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (pow.f64 b -1)) (/.f64 1 a))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (pow.f64 b -1)) (/.f64 1 a))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (pow.f64 b -1)) (/.f64 1 a))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (pow.f64 b -1))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
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(+.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (-.f64 (+.f64 (/.f64 1 (.f64 b (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))))) (/.f64 1/3 (.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 3)))) (/.f64 1/2 (.f64 (.f64 b b) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 2)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 b) (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a)))) (/.f64 1/3 (.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 3)))) (-.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (/.f64 1/2 (.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 2)))))
(+.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (+.f64 (/.f64 1/3 (.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 3))) (+.f64 (/.f64 1 (+.f64 b (.f64 (fma.f64 -1/2 eps (/.f64 1 a)) b))) (/.f64 (/.f64 -1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 2)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a))))
(log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)))) (/.f64 1 (.f64 (+.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a))) b)))
(+.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (/.f64 1 (*.f64 b (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))))))
(+.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (/.f64 (/.f64 1 b) (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a)))))
(+.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (/.f64 1 (+.f64 b (*.f64 (fma.f64 -1/2 eps (/.f64 1 a)) b))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)))) (/.f64 1 (.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) b))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) 2) (pow.f64 b 2)))))
(+.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (-.f64 (/.f64 1 (.f64 b (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))))) (/.f64 1/2 (.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 2)))))
(-.f64 (+.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (/.f64 (/.f64 1 b) (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))))) (/.f64 1/2 (.f64 (.f64 b b) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 2))))
(+.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (+.f64 (/.f64 1 (+.f64 b (.f64 (fma.f64 -1/2 eps (/.f64 1 a)) b))) (/.f64 (/.f64 -1/2 (.f64 b b)) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 2))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) b)) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) 3) (pow.f64 b 3)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a))) 2) (pow.f64 b 2)))))
(+.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (-.f64 (+.f64 (/.f64 1 (.f64 b (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))))) (/.f64 1/3 (.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 3)))) (/.f64 1/2 (.f64 (.f64 b b) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 2)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 b) (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a)))) (/.f64 1/3 (.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 3)))) (-.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (/.f64 1/2 (.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 2)))))
(+.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (+.f64 (/.f64 1/3 (.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 3))) (+.f64 (/.f64 1 (+.f64 b (.f64 (fma.f64 -1/2 eps (/.f64 1 a)) b))) (/.f64 (/.f64 -1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 2)))))

eval641.0ms (3.3%)

Compiler: Compiled 20075 to 16090 computations (19.9% saved)

prune165.0ms (0.8%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	655	6	661
Fresh	4	4	8
Picked	1	0	1
Done	2	7	9
Total	662	17	679

Error

Counts

679 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	48.5b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
✓	61.8b	(*.f64 -1/2 eps)
✓	35.8b	(/.f64 (/.f64 eps a) eps)
	35.1b	(-.f64 (exp.f64 (+.f64 (*.f64 -1/2 (/.f64 eps (+.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b))))) (log.f64 (+.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b)))))) 1)
	35.8b	(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a))) 1)
✓	4.7b	(+.f64 (/.f64 1 a) (/.f64 1 b))
✓	33.9b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
	49.0b	(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 1/3) 3)
	61.8b	(pow.f64 (cbrt.f64 (*.f64 -1/2 eps)) 3)
	48.6b	(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
	47.2b	(/.f64 eps (*.f64 eps a))
	10.4b	(-.f64 (+.f64 (+.f64 1 (+.f64 1 (fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))))) -1) 1)
	59.5b	(pow.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) 1/3)
✓	34.2b	(/.f64 1 a)
✓	32.8b	(/.f64 1 b)
✓	10.1b	(/.f64 (/.f64 (+.f64 a b) a) b)
	16.9b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 206 to 160 computations (22.3% saved)

regimes420.0ms (2.2%)

Counts

36 → 3

Calls

Call 1

Inputs
(*.f64 -1/2 eps)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 b)
(/.f64 eps (*.f64 eps a))
(/.f64 (/.f64 eps a) eps)
(/.f64 eps (*.f64 eps a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 (+.f64 a b) (*.f64 a b))
(.f64 eps (/.f64 1 (.f64 eps a)))
(/.f64 (/.f64 (+.f64 a b) a) b)
(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
(.f64 eps (/.f64 (/.f64 b (.f64 eps a)) b))
(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a))) 1)
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(.f64 eps (/.f64 (/.f64 (+.f64 a b) (.f64 a eps)) b))
(.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 (+.f64 1 (+.f64 1 (fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))))) -1) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 eps)) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 1/3) 3)
(.f64 eps (/.f64 (.f64 eps (+.f64 a b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(-.f64 (exp.f64 (+.f64 (*.f64 -1/2 (/.f64 eps (+.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b))))) (log.f64 (+.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b)))))) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) 1/3)
(exp.f64 (log.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))
(log.f64 (exp.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))) 1)
(.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 a) (/.f64 1 b))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(+.f64 (/.f64 1 a) (/.f64 1 b))

Calls

4 calls:

133.0ms	b
123.0ms	eps
86.0ms	a
63.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Results

Error	Segments	Branch
2.8b	2	`a`
3.3b	3	`b`
3.2b	2	`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 443 to 265 computations (40.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.478707137580757e-7	+inf
0.0ms	-inf	-2.4285999060711014e-19

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes208.0ms (1.1%)

Counts

34 → 2

Calls

Call 1

Inputs
(*.f64 -1/2 eps)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 b)
(/.f64 eps (*.f64 eps a))
(/.f64 (/.f64 eps a) eps)
(/.f64 eps (*.f64 eps a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 (+.f64 a b) (*.f64 a b))
(.f64 eps (/.f64 1 (.f64 eps a)))
(/.f64 (/.f64 (+.f64 a b) a) b)
(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
(.f64 eps (/.f64 (/.f64 b (.f64 eps a)) b))
(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a))) 1)
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(.f64 eps (/.f64 (/.f64 (+.f64 a b) (.f64 a eps)) b))
(.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 (+.f64 1 (+.f64 1 (fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))))) -1) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 eps)) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 1/3) 3)
(.f64 eps (/.f64 (.f64 eps (+.f64 a b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(-.f64 (exp.f64 (+.f64 (*.f64 -1/2 (/.f64 eps (+.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b))))) (log.f64 (+.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b)))))) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) 1/3)
(exp.f64 (log.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))
(log.f64 (exp.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))) 1)
(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

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

Calls

3 calls:

83.0ms	a
71.0ms	eps
32.0ms	b

Results

Error	Segments	Branch
2.8b	2	`a`
4.4b	1	`b`
4.4b	1	`eps`

Compiler

Compiled 374 to 231 computations (38.2% saved)

bsearch293.0ms (1.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
293.0ms	60516389.133404344	130880184.49860871

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes110.0ms (0.6%)

Counts

33 → 1

Calls

Call 1

Inputs
(*.f64 -1/2 eps)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 b)
(/.f64 eps (*.f64 eps a))
(/.f64 (/.f64 eps a) eps)
(/.f64 eps (*.f64 eps a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 (+.f64 a b) (*.f64 a b))
(.f64 eps (/.f64 1 (.f64 eps a)))
(/.f64 (/.f64 (+.f64 a b) a) b)
(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
(.f64 eps (/.f64 (/.f64 b (.f64 eps a)) b))
(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a))) 1)
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(.f64 eps (/.f64 (/.f64 (+.f64 a b) (.f64 a eps)) b))
(.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 (+.f64 1 (+.f64 1 (fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))))) -1) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 eps)) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 1/3) 3)
(.f64 eps (/.f64 (.f64 eps (+.f64 a b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(-.f64 (exp.f64 (+.f64 (*.f64 -1/2 (/.f64 eps (+.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b))))) (log.f64 (+.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b)))))) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) 1/3)
(exp.f64 (log.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))
(log.f64 (exp.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))) 1)

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

Calls

3 calls:

30.0ms	eps
29.0ms	b
29.0ms	a

Results

Error	Segments	Branch
4.4b	1	`a`
4.4b	1	`b`
4.4b	1	`eps`

Compiler

Compiled 358 to 228 computations (36.3% saved)

regimes59.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	b
17.0ms	a
16.0ms	eps

Results

Error	Segments	Branch
4.7b	1	`a`
4.7b	1	`b`
4.7b	1	`eps`

Compiler

Compiled 115 to 62 computations (46.1% saved)

regimes153.0ms (0.8%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

87.0ms	eps
41.0ms	b
21.0ms	a

Results

Error	Segments	Branch
12.1b	2	`a`
15.0b	4	`b`
22.4b	6	`eps`

Compiler

Compiled 49 to 29 computations (40.8% saved)

bsearch393.0ms (2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
392.0ms	-4.4664820528792827e-200	-5.8107957275430896e-213

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes114.0ms (0.6%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	eps
34.0ms	b
11.0ms	a

Results

Error	Segments	Branch
12.3b	2	`a`
15.2b	4	`b`
22.6b	6	`eps`

Compiler

Compiled 42 to 24 computations (42.9% saved)

bsearch219.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
218.0ms	-4.4664820528792827e-200	-5.8107957275430896e-213

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes18.0ms (0.1%)

Accuracy

Total -28.1b remaining (-82.1%)

Threshold costs -28.1b (-82.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 1 a)

Calls

3 calls:

4.0ms	b
4.0ms	eps
3.0ms	a

Results

Error	Segments	Branch
34.2b	1	`a`
34.2b	1	`b`
34.2b	1	`eps`

Compiler

Compiled 24 to 18 computations (25% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	247
1	74	247
2	77	247

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 a) (/.f64 1 b)) (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))) 944473296573929/2361183241434822606848) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(if (<=.f64 a 2030593064062355/33554432) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(if (<=.f64 a -3849306537979379/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (/.f64 1 b) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(if (<=.f64 a -3849306537979379/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(*.f64 -1/2 eps)

Outputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (+.f64 (/.f64 1 a) (/.f64 1 b)) (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))) 944473296573929/2361183241434822606848) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(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 a) (/.f64 1 b)) (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))) 944473296573929/2361183241434822606848) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(if (<=.f64 a 2030593064062355/33554432) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))
(if (<=.f64 a 2030593064062355/33554432) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(if (<=.f64 a -3849306537979379/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (/.f64 1 b) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(if (<=.f64 a -3849306537979379/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))
(if (<=.f64 a -3849306537979379/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(*.f64 -1/2 eps)
(*.f64 eps -1/2)

Compiler

Compiled 189 to 123 computations (34.9% saved)

soundness206.0ms (1.1%)

Algorithm

4×	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	10	345
1	13	345
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28

Stop Event

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

Compiler

Compiled 424 to 284 computations (33% saved)

end175.0ms (0.9%)

Remove: (sort a b)
Compiler: Compiled 346 to 197 computations (43.1% saved)