Details

analyze637.0ms (3%)

Algorithm

1×

Search

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample9.1s (43.5%)

Results

6.2s	4207×	body	2048	valid
1.7s	2494×	body	1024	valid
254.0ms	709×	body	512	valid
226.0ms	302×	body	2048	invalid
217.0ms	835×	body	256	valid
199.0ms	431×	body	1024	invalid
172.0ms	225×	body	512	invalid
125.0ms	744×	body	256	invalid
19.0ms	11×	body	4096	valid

preprocess45.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify26.0ms (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

39.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.2b	(.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)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps a))
✓	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))))
✓	24.8b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 77 to 13 computations (83.1% saved)

series40.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
7.0ms	b	@	inf	(/.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)))))
3.0ms	a	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	eps	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	a	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))) (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) 1) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 2)) (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) eps) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) eps) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps 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simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

251 → 208

Calls

Call 1

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

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

eval100.0ms (0.5%)

Compiler: Compiled 8716 to 3399 computations (61% saved)

prune44.0ms (0.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	195	13	208
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	13	209

Error

0.4b

Counts

209 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.3b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 1/2 (.f64 (*.f64 a b) (+.f64 a b))) eps)))))
▶	25.0b	(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))) eps) (expm1.f64 (.f64 b eps)))
	55.4b	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
	58.5b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 eps a)) 3) 1/3) (expm1.f64 (*.f64 eps b)))))
	46.8b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (.f64 eps b)))))
	50.2b	(+.f64 (/.f64 1 b) (fma.f64 eps (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (.f64 -1/2 (.f64 (.f64 a b) (+.f64 a b))) (/.f64 (.f64 a a) (/.f64 (+.f64 a b) (.f64 b b))))) (/.f64 1 a)))
	55.8b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
	33.5b	(.f64 eps (/.f64 (+.f64 a b) (.f64 a (*.f64 b eps))))
▶	34.3b	(/.f64 1 a)
▶	57.5b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))
	33.1b	(/.f64 1 b)
▶	17.2b	(/.f64 (+.f64 a b) (*.f64 a b))
	46.7b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps a) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 528 to 328 computations (37.9% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.8b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	204
1	10	204

Stop Event

1×

saturated

Counts

62 → 42

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.7b	(.f64 a (.f64 b (*.f64 eps eps)))
✓	6.6b	(.f64 b (.f64 eps eps))
✓	15.5b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (.f64 eps eps))))
✓	23.7b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))

Compiler

Compiled 65 to 11 computations (83.1% saved)

series33.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
7.0ms	eps	@	0	(.f64 a (.f64 b (*.f64 eps eps)))
2.0ms	eps	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))
1.0ms	b	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))
1.0ms	a	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))
1.0ms	eps	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) eps)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) eps)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) eps))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (/.f64 (.f64 eps (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 a (.f64 eps (.f64 eps b))) (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (.f64 eps (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 a (neg.f64 (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) a) (.f64 eps (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 eps (.f64 eps b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) 1) (.f64 a (.f64 eps (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

247 → 175

Calls

Call 1

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

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	8.1b	(.f64 (.f64 1/2 (.f64 (.f64 a b) (+.f64 a b))) eps)
✓	9.8b	(.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 1/2 (.f64 (*.f64 a b) (+.f64 a b))) eps)))
✓	15.7b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 1/2 (.f64 (.f64 a b) (+.f64 a b))) eps))))
✓	23.2b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 1/2 (.f64 (*.f64 a b) (+.f64 a b))) eps)))))

Compiler

Compiled 142 to 37 computations (73.9% saved)

series52.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
10.0ms	b	@	0	(.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 1/2 (.f64 (*.f64 a b) (+.f64 a b))) eps)))
4.0ms	a	@	-inf	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 1/2 (.f64 (.f64 a b) (+.f64 a b))) eps))))
2.0ms	b	@	0	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 1/2 (.f64 (.f64 a b) (+.f64 a b))) eps))))
2.0ms	a	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 1/2 (.f64 (*.f64 a b) (+.f64 a b))) eps)))))
2.0ms	b	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 1/2 (.f64 (*.f64 a b) (+.f64 a b))) eps)))))

rewrite126.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`fma-def_binary64`
351×	`expm1-udef_binary64`
351×	`log1p-udef_binary64`
330×	`fma-neg_binary64`
248×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	119
1	393	119
2	6219	119

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

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

simplify134.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

664×	`associate-/r*_binary64`
489×	`associate-r_binary64`
472×	`times-frac_binary64`
355×	`associate-l_binary64`
339×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	466	9476
1	1767	8934

Stop Event

1×	node limit

Counts

297 → 305

Calls

Call 1

Inputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 3)) (*.f64 a b))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (.f64 1/12 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 3)) (.f64 a b))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (+.f64 a b) 5) (.f64 a b))) (.f64 1/2 (.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (.f64 1/12 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b)))) (+.f64 a b))))) (+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (.f64 1/12 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 3)) (*.f64 a b))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (*.f64 b (+.f64 a b))))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (.f64 b (+.f64 a b)))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2)))))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (.f64 b (+.f64 a b)))))) (+.f64 (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 3)))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 a (*.f64 b (pow.f64 (+.f64 a b) 2))))))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (.f64 b (+.f64 a b)))))) (+.f64 (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 3)))))) (+.f64 (.f64 -16 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 5) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 4)))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2)))))))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (*.f64 b (+.f64 a b))))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (.f64 b (+.f64 a b)))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2)))))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (.f64 b (+.f64 a b)))))) (+.f64 (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 3)))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 a (*.f64 b (pow.f64 (+.f64 a b) 2))))))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (.f64 b (+.f64 a b)))))) (+.f64 (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 3)))))) (+.f64 (.f64 -16 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 5) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 4)))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2)))))))))
(/.f64 (-.f64 (exp.f64 (.f64 eps b)) 1) (.f64 eps (.f64 a (+.f64 (.f64 1/2 (*.f64 eps (pow.f64 b 2))) b))))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b)) (/.f64 (exp.f64 (.f64 eps b)) (.f64 eps (.f64 a (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b))))) (+.f64 (.f64 1/2 (/.f64 (.f64 b (-.f64 (exp.f64 (.f64 eps b)) 1)) (pow.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b) 2))) (/.f64 1 (.f64 eps (.f64 a (+.f64 (.f64 1/2 (*.f64 eps (pow.f64 b 2))) b))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b)) (+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b))) (.f64 1/2 (/.f64 (.f64 eps (.f64 b (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b)) (.f64 1/2 (/.f64 (.f64 b (-.f64 (exp.f64 (.f64 eps b)) 1)) (pow.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b) 2)))))) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b))))) (/.f64 (exp.f64 (.f64 eps b)) (.f64 eps (.f64 a (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b)))))) (+.f64 (.f64 1/2 (/.f64 (.f64 b (-.f64 (exp.f64 (.f64 eps b)) 1)) (pow.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b) 2))) (/.f64 1 (.f64 eps (.f64 a (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b))))))
(-.f64 (+.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b))) (.f64 1/2 (/.f64 (.f64 eps (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b))) (.f64 1/2 (/.f64 (.f64 eps (.f64 b (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b)) (.f64 1/2 (/.f64 (.f64 b (-.f64 (exp.f64 (.f64 eps b)) 1)) (pow.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b) 2)))))) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b)))) b)) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b))))) (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b)) (+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b))) (.f64 1/2 (/.f64 (.f64 eps (.f64 b (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b)) (.f64 1/2 (/.f64 (.f64 b (-.f64 (exp.f64 (.f64 eps b)) 1)) (pow.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b) 2)))))) (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b))))) (/.f64 (exp.f64 (.f64 eps b)) (.f64 eps (.f64 a (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b))))))) (+.f64 (.f64 1/2 (/.f64 (.f64 b (-.f64 (exp.f64 (.f64 eps b)) 1)) (pow.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 b 2))) b) 2))) (/.f64 1 (.f64 eps (.f64 a (+.f64 (.f64 1/2 (*.f64 eps (pow.f64 b 2))) b))))))
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(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) (*.f64 (pow.f64 eps 2) b)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) (*.f64 (pow.f64 eps 2) b)))
(.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 a (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) (*.f64 (pow.f64 eps 2) b)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) (*.f64 (pow.f64 eps 2) b)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) (*.f64 (pow.f64 eps 2) b)))
(.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 a (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 -1 (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 a 2))) (*.f64 -1 a)) b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 -1 (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 a 2))) (*.f64 -1 a)) b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 -1 (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 a 2))) (*.f64 -1 a)) b))))
(.f64 1/2 (.f64 eps (*.f64 a (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (.f64 eps (*.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (.f64 eps (*.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (.f64 eps (*.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (.f64 eps (*.f64 a (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (.f64 eps (*.f64 a (pow.f64 b 2))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))

Outputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 3)) (*.f64 a b))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 1/6 (/.f64 (.f64 eps eps) (/.f64 (.f64 a b) (pow.f64 (+.f64 a b) 3))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (fma.f64 1/6 (*.f64 (/.f64 eps (/.f64 a eps)) (/.f64 (pow.f64 (+.f64 a b) 3) b)) (/.f64 1 a)))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (.f64 1/12 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 3)) (.f64 a b))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (pow.f64 eps 3) (.f64 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b)) -1/24) (fma.f64 1/6 (/.f64 (.f64 eps eps) (/.f64 (.f64 a b) (pow.f64 (+.f64 a b) 3))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (pow.f64 eps 3) (.f64 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b)) -1/24) (+.f64 (/.f64 1 b) (fma.f64 1/6 (*.f64 (/.f64 eps (/.f64 a eps)) (/.f64 (pow.f64 (+.f64 a b) 3) b)) (/.f64 1 a))))
(+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (+.f64 a b) 5) (.f64 a b))) (.f64 1/2 (.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (.f64 1/12 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b)))) (+.f64 a b))))) (+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (.f64 1/12 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 3)) (*.f64 a b))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(fma.f64 (pow.f64 eps 4) (+.f64 (.f64 1/120 (/.f64 (pow.f64 (+.f64 a b) 5) (.f64 a b))) (.f64 -1/2 (.f64 (+.f64 a b) (.f64 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b)) -1/24)))) (fma.f64 (pow.f64 eps 3) (.f64 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b)) -1/24) (fma.f64 1/6 (/.f64 (.f64 eps eps) (/.f64 (.f64 a b) (pow.f64 (+.f64 a b) 3))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 1/120 (/.f64 (pow.f64 (+.f64 a b) 5) (.f64 a b)) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b)) (.f64 -1/24 (+.f64 a b))) -1/2)) (fma.f64 (pow.f64 eps 3) (.f64 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b)) -1/24) (+.f64 (/.f64 1 b) (fma.f64 1/6 (.f64 (/.f64 eps (/.f64 a eps)) (/.f64 (pow.f64 (+.f64 a b) 3) b)) (/.f64 1 a)))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (*.f64 b (+.f64 a b))))))
(.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 eps eps) (.f64 a (.f64 b (+.f64 a b))))))
(/.f64 2 (/.f64 (.f64 (.f64 a b) (.f64 (+.f64 a b) (.f64 eps eps))) (expm1.f64 (*.f64 (+.f64 a b) eps))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (.f64 b (+.f64 a b)))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2)))))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 eps eps) (.f64 a (.f64 b (+.f64 a b))))) (.f64 -4 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2)))))))
(fma.f64 -4 (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 b (.f64 (pow.f64 (+.f64 a b) 2) a))) (pow.f64 eps 3)) (/.f64 2 (/.f64 (.f64 (.f64 a b) (.f64 (+.f64 a b) (.f64 eps eps))) (expm1.f64 (.f64 (+.f64 a b) eps)))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (.f64 b (+.f64 a b)))))) (+.f64 (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 3)))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 a (*.f64 b (pow.f64 (+.f64 a b) 2))))))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 eps eps) (.f64 a (.f64 b (+.f64 a b))))) (fma.f64 8 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 4) (.f64 (.f64 a b) (pow.f64 (+.f64 a b) 3)))) (.f64 -4 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2))))))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 a b) (.f64 (+.f64 a b) (.f64 eps eps)))) (fma.f64 8 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 (pow.f64 eps 4) (.f64 a b)) (pow.f64 (+.f64 a b) 3))) (.f64 -4 (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 b (*.f64 (pow.f64 (+.f64 a b) 2) a))) (pow.f64 eps 3)))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (.f64 b (+.f64 a b)))))) (+.f64 (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 3)))))) (+.f64 (.f64 -16 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 5) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 4)))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2)))))))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 eps eps) (.f64 a (.f64 b (+.f64 a b))))) (fma.f64 8 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 4) (.f64 (.f64 a b) (pow.f64 (+.f64 a b) 3)))) (fma.f64 -16 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 5) (.f64 (.f64 a b) (pow.f64 (+.f64 a b) 4)))) (.f64 -4 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2)))))))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 a b) (.f64 (+.f64 a b) (.f64 eps eps)))) (fma.f64 8 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 (pow.f64 eps 4) (.f64 a b)) (pow.f64 (+.f64 a b) 3))) (fma.f64 -16 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 a (.f64 (.f64 b (pow.f64 (+.f64 a b) 4)) (pow.f64 eps 5)))) (.f64 -4 (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 b (*.f64 (pow.f64 (+.f64 a b) 2) a))) (pow.f64 eps 3))))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (*.f64 b (+.f64 a b))))))
(.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 eps eps) (.f64 a (.f64 b (+.f64 a b))))))
(/.f64 2 (/.f64 (.f64 (.f64 a b) (.f64 (+.f64 a b) (.f64 eps eps))) (expm1.f64 (*.f64 (+.f64 a b) eps))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (.f64 b (+.f64 a b)))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2)))))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 eps eps) (.f64 a (.f64 b (+.f64 a b))))) (.f64 -4 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2)))))))
(fma.f64 -4 (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 b (.f64 (pow.f64 (+.f64 a b) 2) a))) (pow.f64 eps 3)) (/.f64 2 (/.f64 (.f64 (.f64 a b) (.f64 (+.f64 a b) (.f64 eps eps))) (expm1.f64 (.f64 (+.f64 a b) eps)))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (.f64 b (+.f64 a b)))))) (+.f64 (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 3)))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 a (*.f64 b (pow.f64 (+.f64 a b) 2))))))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 eps eps) (.f64 a (.f64 b (+.f64 a b))))) (fma.f64 8 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 4) (.f64 (.f64 a b) (pow.f64 (+.f64 a b) 3)))) (.f64 -4 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2))))))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 a b) (.f64 (+.f64 a b) (.f64 eps eps)))) (fma.f64 8 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 (pow.f64 eps 4) (.f64 a b)) (pow.f64 (+.f64 a b) 3))) (.f64 -4 (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 b (*.f64 (pow.f64 (+.f64 a b) 2) a))) (pow.f64 eps 3)))))
(+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 a (.f64 b (+.f64 a b)))))) (+.f64 (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 3)))))) (+.f64 (.f64 -16 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 5) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 4)))))) (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2)))))))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 eps eps) (.f64 a (.f64 b (+.f64 a b))))) (fma.f64 8 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 4) (.f64 (.f64 a b) (pow.f64 (+.f64 a b) 3)))) (fma.f64 -16 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 5) (.f64 (.f64 a b) (pow.f64 (+.f64 a b) 4)))) (.f64 -4 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 3) (.f64 a (.f64 b (pow.f64 (+.f64 a b) 2)))))))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 a b) (.f64 (+.f64 a b) (.f64 eps eps)))) (fma.f64 8 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 (pow.f64 eps 4) (.f64 a b)) (pow.f64 (+.f64 a b) 3))) (fma.f64 -16 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 a (.f64 (.f64 b (pow.f64 (+.f64 a b) 4)) (pow.f64 eps 5)))) (.f64 -4 (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 b (*.f64 (pow.f64 (+.f64 a b) 2) a))) (pow.f64 eps 3))))))
(/.f64 (-.f64 (exp.f64 (.f64 eps b)) 1) (.f64 eps (.f64 a (+.f64 (.f64 1/2 (*.f64 eps (pow.f64 b 2))) b))))
(/.f64 (expm1.f64 (.f64 b eps)) (.f64 eps (.f64 a (fma.f64 1/2 (.f64 eps (*.f64 b b)) b))))
(/.f64 (expm1.f64 (.f64 b eps)) (.f64 a (.f64 eps (fma.f64 1/2 (.f64 b (*.f64 b eps)) b))))
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(fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (.f64 b b))) (.f64 b (.f64 (.f64 eps eps) (fma.f64 1/2 (.f64 eps (.f64 a a)) a))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) (*.f64 (pow.f64 eps 2) b)))
(fma.f64 1/2 (.f64 (.f64 (pow.f64 eps 3) a) (.f64 b b)) (.f64 (fma.f64 1/2 (.f64 eps (.f64 a a)) a) (.f64 b (.f64 eps eps))))
(fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (.f64 b b))) (.f64 b (.f64 (.f64 eps eps) (fma.f64 1/2 (.f64 eps (.f64 a a)) a))))
(.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 a (pow.f64 b 2))))
(.f64 1/2 (.f64 (.f64 (pow.f64 eps 3) a) (.f64 b b)))
(.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (.f64 b b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) (*.f64 (pow.f64 eps 2) b)))
(fma.f64 1/2 (.f64 (.f64 (pow.f64 eps 3) a) (.f64 b b)) (.f64 (fma.f64 1/2 (.f64 eps (.f64 a a)) a) (.f64 b (.f64 eps eps))))
(fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (.f64 b b))) (.f64 b (.f64 (.f64 eps eps) (fma.f64 1/2 (.f64 eps (.f64 a a)) a))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) (*.f64 (pow.f64 eps 2) b)))
(fma.f64 1/2 (.f64 (.f64 (pow.f64 eps 3) a) (.f64 b b)) (.f64 (fma.f64 1/2 (.f64 eps (.f64 a a)) a) (.f64 b (.f64 eps eps))))
(fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (.f64 b b))) (.f64 b (.f64 (.f64 eps eps) (fma.f64 1/2 (.f64 eps (.f64 a a)) a))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) (*.f64 (pow.f64 eps 2) b)))
(fma.f64 1/2 (.f64 (.f64 (pow.f64 eps 3) a) (.f64 b b)) (.f64 (fma.f64 1/2 (.f64 eps (.f64 a a)) a) (.f64 b (.f64 eps eps))))
(fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (.f64 b b))) (.f64 b (.f64 (.f64 eps eps) (fma.f64 1/2 (.f64 eps (.f64 a a)) a))))
(.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 a (pow.f64 b 2))))
(.f64 1/2 (.f64 (.f64 (pow.f64 eps 3) a) (.f64 b b)))
(.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (.f64 b b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 -1 (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 a 2))) (*.f64 -1 a)) b))))
(fma.f64 1/2 (.f64 (.f64 (pow.f64 eps 3) a) (.f64 b b)) (neg.f64 (.f64 (.f64 (.f64 eps eps) (fma.f64 -1/2 (.f64 eps (.f64 a a)) (neg.f64 a))) b)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (.f64 b b)))) (.f64 b (.f64 eps (.f64 eps (-.f64 (.f64 (.f64 a a) (.f64 eps -1/2)) a)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 -1 (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 a 2))) (*.f64 -1 a)) b))))
(fma.f64 1/2 (.f64 (.f64 (pow.f64 eps 3) a) (.f64 b b)) (neg.f64 (.f64 (.f64 (.f64 eps eps) (fma.f64 -1/2 (.f64 eps (.f64 a a)) (neg.f64 a))) b)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (.f64 b b)))) (.f64 b (.f64 eps (.f64 eps (-.f64 (.f64 (.f64 a a) (.f64 eps -1/2)) a)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (pow.f64 b 2)))) (.f64 -1 (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 a 2))) (*.f64 -1 a)) b))))
(fma.f64 1/2 (.f64 (.f64 (pow.f64 eps 3) a) (.f64 b b)) (neg.f64 (.f64 (.f64 (.f64 eps eps) (fma.f64 -1/2 (.f64 eps (.f64 a a)) (neg.f64 a))) b)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (.f64 b b)))) (.f64 b (.f64 eps (.f64 eps (-.f64 (.f64 (.f64 a a) (.f64 eps -1/2)) a)))))
(.f64 1/2 (.f64 eps (*.f64 a (pow.f64 b 2))))
(.f64 1/2 (.f64 (.f64 a eps) (.f64 b b)))
(.f64 a (.f64 eps (.f64 (.f64 b b) 1/2)))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (*.f64 (pow.f64 a 2) b)))
(.f64 1/2 (.f64 eps (.f64 b (.f64 a a))))
(.f64 (.f64 eps (.f64 a a)) (.f64 b 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (*.f64 (pow.f64 a 2) b)))
(.f64 1/2 (.f64 eps (.f64 b (.f64 a a))))
(.f64 (.f64 eps (.f64 a a)) (.f64 b 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (*.f64 (pow.f64 a 2) b)))
(.f64 1/2 (.f64 eps (.f64 b (.f64 a a))))
(.f64 (.f64 eps (.f64 a a)) (.f64 b 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (*.f64 a (pow.f64 b 2))))
(.f64 1/2 (.f64 (.f64 a eps) (.f64 b b)))
(.f64 a (.f64 eps (.f64 (.f64 b b) 1/2)))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (*.f64 a (pow.f64 b 2))))
(.f64 1/2 (.f64 (.f64 a eps) (.f64 b b)))
(.f64 a (.f64 eps (.f64 (.f64 b b) 1/2)))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(+.f64 (.f64 1/2 (.f64 eps (.f64 a (pow.f64 b 2)))) (.f64 1/2 (.f64 eps (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))
(.f64 1/2 (.f64 eps (.f64 a (.f64 b (+.f64 a b)))))
(.f64 1/2 (+.f64 (.f64 (.f64 a eps) (.f64 b b)) (.f64 eps (.f64 b (*.f64 a a)))))
(.f64 (.f64 a eps) (.f64 (.f64 b (+.f64 a b)) 1/2))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 a eps))
✓	4.4b	(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (*.f64 a eps))) eps)
✓	9.7b	(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
✓	14.3b	(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))) eps) (expm1.f64 (.f64 b eps)))

Compiler

Compiled 76 to 13 computations (82.9% saved)

series25.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))) eps) (expm1.f64 (.f64 b eps)))
1.0ms	b	@	-inf	(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))) eps) (expm1.f64 (.f64 b eps)))
1.0ms	a	@	0	(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (*.f64 a eps))) eps)
1.0ms	a	@	0	(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
1.0ms	eps	@	0	(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))

rewrite230.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

867×	`log-prod_binary64`
500×	`prod-diff_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
258×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	298	71
2	4270	71

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

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

simplify168.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

959×	`times-frac_binary64`
552×	`cancel-sign-sub-inv_binary64`
268×	`fma-def_binary64`
260×	`associate-r_binary64`
245×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	5199
1	1107	5084
2	4144	4968

Stop Event

1×	node limit

Counts

269 → 225

Calls

Call 1

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

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

eval555.0ms (2.7%)

Compiler: Compiled 29542 to 11533 computations (61% saved)

prune367.0ms (1.8%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	731	16	747
Fresh	7	1	8
Picked	0	1	1
Done	2	2	4
Total	740	20	760

Error

0.0b

Counts

760 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	43.0b	(/.f64 eps (expm1.f64 (*.f64 b eps)))
✓	34.3b	(/.f64 1 a)
▶	3.5b	(+.f64 (/.f64 1 b) (/.f64 1 a))
✓	25.0b	(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))) eps) (expm1.f64 (.f64 b eps)))
	10.3b	(*.f64 (/.f64 1 a) (/.f64 (+.f64 a b) b))
	50.3b	(/.f64 (expm1.f64 (.f64 b eps)) (.f64 a (*.f64 b eps)))
▶	9.1b	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))
	58.9b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 a (.f64 eps (*.f64 b eps)))))
	55.8b	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))) (+.f64 (/.f64 1 a) (.f64 eps -1/2)))
	17.8b	(.f64 (/.f64 1 (.f64 a b)) (+.f64 a b))
▶	22.8b	(/.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (expm1.f64 (.f64 b eps)))
▶	57.2b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 eps (.f64 a a)) (*.f64 b 1/2))))))
	46.5b	(/.f64 (exp.f64 (log.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))))) (expm1.f64 (.f64 b eps)))
	9.1b	(/.f64 (/.f64 (+.f64 a b) a) b)
✓	17.2b	(/.f64 (+.f64 a b) (*.f64 a b))
	22.8b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
	62.4b	(/.f64 2 (/.f64 (.f64 b (.f64 eps (.f64 eps (.f64 a a)))) (expm1.f64 (*.f64 (+.f64 a b) eps))))
▶	33.1b	(/.f64 1 b)
	46.8b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (.f64 eps b)))))
	57.9b	(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (pow.f64 (pow.f64 (expm1.f64 (.f64 a eps)) 3) 1/3)) eps) (expm1.f64 (.f64 b eps)))

Compiler

Compiled 589 to 380 computations (35.5% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	114
1	10	114

Stop Event

1×

saturated

Counts

59 → 48

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) a)
✓	5.3b	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite294.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

Outputs

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

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

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	345
1	13	345

Stop Event

1×

saturated

Counts

158 → 118

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 b eps))
✓	0.0b	(*.f64 eps (+.f64 a b))
✓	4.6b	(/.f64 (*.f64 eps (+.f64 a b)) a)
✓	14.0b	(/.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (expm1.f64 (.f64 b eps)))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series221.0ms (1.1%)

Counts

4 → 108

Calls

33 calls:

Time	Variable		Point	Expression
151.0ms	eps	@	0	(/.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (expm1.f64 (.f64 b eps)))
36.0ms	eps	@	0	(/.f64 (*.f64 eps (+.f64 a b)) a)
3.0ms	eps	@	-inf	(/.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (expm1.f64 (.f64 b eps)))
3.0ms	eps	@	inf	(/.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (expm1.f64 (.f64 b eps)))
3.0ms	eps	@	inf	(/.f64 (*.f64 eps (+.f64 a b)) a)

rewrite176.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`prod-diff_binary64`
686×	`log-prod_binary64`
238×	`fma-def_binary64`
213×	`expm1-udef_binary64`
213×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	227	41
2	3551	41

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

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

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

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

798×	`fma-neg_binary64`
666×	`associate-l_binary64`
630×	`associate-r_binary64`
603×	`fma-def_binary64`
250×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	1592
1	319	1542
2	1228	1380
3	6650	1380

Stop Event

1×	node limit

Counts

290 → 223

Calls

Call 1

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

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

localize84.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.2b	(.f64 eps (.f64 a a))
✓	9.6b	(.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 eps (.f64 a a)) (*.f64 b 1/2))))
✓	15.5b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 eps (.f64 a a)) (.f64 b 1/2)))))
✓	23.2b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 eps (.f64 a a)) (*.f64 b 1/2))))))

Compiler

Compiled 127 to 38 computations (70.1% saved)

series33.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 eps (.f64 a a)) (.f64 b 1/2)))))
2.0ms	b	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 eps (.f64 a a)) (*.f64 b 1/2))))))
2.0ms	b	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 eps (.f64 a a)) (*.f64 b 1/2))))))
1.0ms	eps	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 eps (.f64 a a)) (*.f64 b 1/2))))))
1.0ms	b	@	0	(.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 eps (.f64 a a)) (*.f64 b 1/2))))

rewrite268.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`fma-def_binary64`
359×	`fma-neg_binary64`
357×	`expm1-udef_binary64`
357×	`log1p-udef_binary64`
237×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	101
1	405	101
2	6175	101

Stop Event

1×	node limit

Counts

4 → 157

Calls

Call 1

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

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

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

809×	`fma-def_binary64`
576×	`associate-/l*_binary64`
372×	`associate-/r*_binary64`
318×	`distribute-rgt-in_binary64`
307×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	5687
1	953	5426
2	3639	5016

Stop Event

1×	node limit

Counts

289 → 250

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

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 1/2 (/.f64 (+.f64 a b) b)))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 (.f64 eps 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b)) (/.f64 1 b)) (/.f64 1 a))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (+.f64 a b) b))))))) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (+.f64 a b) b)))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (.f64 eps eps) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (.f64 (.f64 1/2 a) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b))))) (fma.f64 eps (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)) (/.f64 (+.f64 a b) b))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b)) (.f64 (.f64 (.f64 a 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b))) -1/2)) (fma.f64 eps (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (.f64 eps eps) (fma.f64 1/2 (.f64 (.f64 a -1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b))) (.f64 (/.f64 1/6 b) (/.f64 (pow.f64 (+.f64 a b) 3) a))) (+.f64 (fma.f64 (.f64 eps 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)) (/.f64 (+.f64 a b) b)) (/.f64 1 b)) (/.f64 1 a)))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (.f64 1/2 (.f64 a (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (+.f64 a b) b)))))))))) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (+.f64 a b) b))))))) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 1/2 (/.f64 (+.f64 a b) b)))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(fma.f64 (pow.f64 eps 3) (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (.f64 (.f64 1/2 a) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (.f64 (.f64 1/2 a) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b))))))) (fma.f64 (.f64 eps eps) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (.f64 (.f64 1/2 a) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b))))) (fma.f64 eps (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (*.f64 a b)) (/.f64 (+.f64 a b) b))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(fma.f64 (pow.f64 eps 3) (fma.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b)) (.f64 (.f64 -1/2 a) (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b)) (.f64 (.f64 (.f64 a 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b))) -1/2)))) (fma.f64 (.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b)) (.f64 (.f64 (.f64 a 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b))) -1/2)) (fma.f64 eps (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(fma.f64 (pow.f64 eps 3) (fma.f64 (.f64 a -1/2) (fma.f64 1/2 (.f64 (.f64 a -1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b))) (.f64 (/.f64 1/6 b) (/.f64 (pow.f64 (+.f64 a b) 3) a))) (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b)))) (fma.f64 (.f64 eps eps) (fma.f64 1/2 (.f64 (.f64 a -1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b))) (.f64 (/.f64 1/6 b) (/.f64 (pow.f64 (+.f64 a b) 3) a))) (+.f64 (fma.f64 (.f64 eps 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b)) (/.f64 (+.f64 a b) b)) (/.f64 1 b)) (/.f64 1 a))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) b))))
(/.f64 (.f64 2 (expm1.f64 (.f64 (+.f64 a b) eps))) (.f64 (.f64 eps eps) (.f64 b (.f64 a a))))
(.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 eps (.f64 eps (.f64 b (.f64 a a))))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (/.f64 (.f64 b (.f64 (.f64 a eps) (*.f64 a eps))) 2))
(+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) b)))) (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) b)))))
(fma.f64 -4 (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (pow.f64 eps 3)) (.f64 b (pow.f64 a 3))) (/.f64 (.f64 2 (expm1.f64 (.f64 (+.f64 a b) eps))) (.f64 (.f64 eps eps) (.f64 b (.f64 a a)))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 eps (.f64 eps (.f64 b (.f64 a a))))) (.f64 -4 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 3) (*.f64 b (pow.f64 a 3))))))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) b) (+.f64 (/.f64 -4 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (/.f64 2 (.f64 (.f64 a eps) (.f64 a eps)))))
(+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) b)))) (+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) b)))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 4) b))))))
(fma.f64 -4 (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (pow.f64 eps 3)) (.f64 b (pow.f64 a 3))) (fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 eps eps) (.f64 b (.f64 a a)))) (.f64 8 (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (pow.f64 eps 4)) (.f64 b (pow.f64 a 4))))))
(fma.f64 -4 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 3) (.f64 b (pow.f64 a 3)))) (fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 eps (.f64 eps (.f64 b (.f64 a a))))) (.f64 8 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 4) (.f64 b (pow.f64 a 4)))))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 b (.f64 (.f64 a eps) (.f64 a eps)))) (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) b) (+.f64 (/.f64 8 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (/.f64 -4 (*.f64 (pow.f64 eps 3) (pow.f64 a 3))))))
(+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) b)))) (+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) b)))) (+.f64 (.f64 -16 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 5) (.f64 (pow.f64 a 5) b)))) (.f64 8 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 4) b)))))))
(fma.f64 -4 (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (pow.f64 eps 3)) (.f64 b (pow.f64 a 3))) (fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (.f64 eps eps) (.f64 b (.f64 a a)))) (fma.f64 -16 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 5) (.f64 b (pow.f64 a 5)))) (.f64 8 (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (pow.f64 eps 4)) (*.f64 b (pow.f64 a 4)))))))
(fma.f64 -4 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 3) (.f64 b (pow.f64 a 3)))) (fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 eps (.f64 eps (.f64 b (.f64 a a))))) (fma.f64 8 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 4) (.f64 b (pow.f64 a 4)))) (.f64 -16 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 b (*.f64 (pow.f64 eps 5) (pow.f64 a 5))))))))
(+.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) b) (+.f64 (/.f64 -4 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (/.f64 2 (.f64 (.f64 a eps) (.f64 a eps))))) (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) b) (+.f64 (/.f64 8 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (/.f64 -16 (.f64 (pow.f64 eps 5) (pow.f64 a 5))))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) b))))
(/.f64 (.f64 2 (expm1.f64 (.f64 (+.f64 a b) eps))) (.f64 (.f64 eps eps) (.f64 b (.f64 a a))))
(.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 eps (.f64 eps (.f64 b (.f64 a a))))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (/.f64 (.f64 b (.f64 (.f64 a eps) (*.f64 a eps))) 2))
(+.f64 (.f64 -4 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) b)))) (.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) b)))))
(fma.f64 -4 (/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (pow.f64 eps 3)) (.f64 b (pow.f64 a 3))) (/.f64 (.f64 2 (expm1.f64 (.f64 (+.f64 a b) eps))) (.f64 (.f64 eps eps) (.f64 b (.f64 a a)))))
(fma.f64 2 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 eps (.f64 eps (.f64 b (.f64 a a))))) (.f64 -4 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (pow.f64 eps 3) (*.f64 b (pow.f64 a 3))))))
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(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (.f64 b (.f64 (.f64 eps eps) (.f64 a (+.f64 -1 (.f64 (*.f64 eps -1/2) a))))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 a 2))) (.f64 -1 a)) b))))
(neg.f64 (/.f64 (expm1.f64 (.f64 eps (-.f64 a (neg.f64 b)))) (.f64 (.f64 eps eps) (.f64 b (fma.f64 -1/2 (.f64 eps (.f64 a a)) (neg.f64 a))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (.f64 b (.f64 (.f64 eps eps) (-.f64 (.f64 eps (.f64 (*.f64 a a) -1/2)) a))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (.f64 b (.f64 (.f64 eps eps) (.f64 a (+.f64 -1 (.f64 (*.f64 eps -1/2) a))))))
(.f64 (pow.f64 eps 2) (.f64 a b))
(.f64 (.f64 a b) (*.f64 eps eps))
(.f64 a (.f64 b (*.f64 eps eps)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b)))
(.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a)))
(.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a))))
(.f64 1/2 (.f64 b (.f64 (pow.f64 eps 3) (.f64 a a))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b)))
(.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a)))
(.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a))))
(.f64 1/2 (.f64 b (.f64 (pow.f64 eps 3) (.f64 a a))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(.f64 (pow.f64 eps 2) (.f64 a b))
(.f64 (.f64 a b) (*.f64 eps eps))
(.f64 a (.f64 b (*.f64 eps eps)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b)))
(.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a)))
(.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a))))
(.f64 1/2 (.f64 b (.f64 (pow.f64 eps 3) (.f64 a a))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b)))
(.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a)))
(.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a))))
(.f64 1/2 (.f64 b (.f64 (pow.f64 eps 3) (.f64 a a))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 b (.f64 a a))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)))))
(.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) (.f64 (pow.f64 eps 2) b))
(.f64 (fma.f64 1/2 (.f64 eps (.f64 a a)) a) (.f64 b (*.f64 eps eps)))
(.f64 eps (.f64 b (.f64 eps (fma.f64 (.f64 1/2 (*.f64 a a)) eps a))))
(.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) (.f64 (pow.f64 eps 2) b))
(.f64 (fma.f64 1/2 (.f64 eps (.f64 a a)) a) (.f64 b (*.f64 eps eps)))
(.f64 eps (.f64 b (.f64 eps (fma.f64 (.f64 1/2 (*.f64 a a)) eps a))))
(.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) (.f64 (pow.f64 eps 2) b))
(.f64 (fma.f64 1/2 (.f64 eps (.f64 a a)) a) (.f64 b (*.f64 eps eps)))
(.f64 eps (.f64 b (.f64 eps (fma.f64 (.f64 1/2 (*.f64 a a)) eps a))))
(.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) (.f64 (pow.f64 eps 2) b))
(.f64 (fma.f64 1/2 (.f64 eps (.f64 a a)) a) (.f64 b (*.f64 eps eps)))
(.f64 eps (.f64 b (.f64 eps (fma.f64 (.f64 1/2 (*.f64 a a)) eps a))))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) b))
(.f64 (fma.f64 1/2 (.f64 eps (.f64 a a)) a) (.f64 b (*.f64 eps eps)))
(.f64 eps (.f64 b (.f64 eps (fma.f64 (.f64 1/2 (*.f64 a a)) eps a))))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) b))
(.f64 (fma.f64 1/2 (.f64 eps (.f64 a a)) a) (.f64 b (*.f64 eps eps)))
(.f64 eps (.f64 b (.f64 eps (fma.f64 (.f64 1/2 (*.f64 a a)) eps a))))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) b))
(.f64 (fma.f64 1/2 (.f64 eps (.f64 a a)) a) (.f64 b (*.f64 eps eps)))
(.f64 eps (.f64 b (.f64 eps (fma.f64 (.f64 1/2 (*.f64 a a)) eps a))))
(.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 1/2 (.f64 eps (pow.f64 a 2))) a) b))
(.f64 (fma.f64 1/2 (.f64 eps (.f64 a a)) a) (.f64 b (*.f64 eps eps)))
(.f64 eps (.f64 b (.f64 eps (fma.f64 (.f64 1/2 (*.f64 a a)) eps a))))
(.f64 -1 (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 a 2))) (.f64 -1 a)) b)))
(neg.f64 (.f64 (.f64 eps eps) (.f64 b (fma.f64 -1/2 (.f64 eps (*.f64 a a)) (neg.f64 a)))))
(.f64 (.f64 b (-.f64 (.f64 eps (.f64 (.f64 a a) -1/2)) a)) (neg.f64 (.f64 eps eps)))
(.f64 b (.f64 (.f64 eps eps) (neg.f64 (.f64 a (+.f64 -1 (.f64 (.f64 eps -1/2) a))))))
(.f64 -1 (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 a 2))) (.f64 -1 a)) b)))
(neg.f64 (.f64 (.f64 eps eps) (.f64 b (fma.f64 -1/2 (.f64 eps (*.f64 a a)) (neg.f64 a)))))
(.f64 (.f64 b (-.f64 (.f64 eps (.f64 (.f64 a a) -1/2)) a)) (neg.f64 (.f64 eps eps)))
(.f64 b (.f64 (.f64 eps eps) (neg.f64 (.f64 a (+.f64 -1 (.f64 (.f64 eps -1/2) a))))))
(.f64 -1 (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 a 2))) (.f64 -1 a)) b)))
(neg.f64 (.f64 (.f64 eps eps) (.f64 b (fma.f64 -1/2 (.f64 eps (*.f64 a a)) (neg.f64 a)))))
(.f64 (.f64 b (-.f64 (.f64 eps (.f64 (.f64 a a) -1/2)) a)) (neg.f64 (.f64 eps eps)))
(.f64 b (.f64 (.f64 eps eps) (neg.f64 (.f64 a (+.f64 -1 (.f64 (.f64 eps -1/2) a))))))
(.f64 -1 (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 a 2))) (.f64 -1 a)) b)))
(neg.f64 (.f64 (.f64 eps eps) (.f64 b (fma.f64 -1/2 (.f64 eps (*.f64 a a)) (neg.f64 a)))))
(.f64 (.f64 b (-.f64 (.f64 eps (.f64 (.f64 a a) -1/2)) a)) (neg.f64 (.f64 eps eps)))
(.f64 b (.f64 (.f64 eps eps) (neg.f64 (.f64 a (+.f64 -1 (.f64 (.f64 eps -1/2) a))))))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))
(*.f64 eps (pow.f64 a 2))
(.f64 eps (.f64 a a))
(.f64 a (.f64 a eps))

eval563.0ms (2.7%)

Compiler: Compiled 15750 to 6037 computations (61.7% saved)

prune327.0ms (1.6%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	628	11	639
Fresh	6	6	12
Picked	1	0	1
Done	2	5	7
Total	637	22	659

Error

0.0b

Counts

659 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	8.7b	(/.f64 (/.f64 1 b) (/.f64 a (+.f64 a b)))
	28.7b	(/.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (fma.f64 b eps (.f64 (.f64 b b) (+.f64 (.f64 (pow.f64 eps 3) (.f64 b 1/6)) (.f64 eps (*.f64 eps 1/2))))))
	43.0b	(/.f64 eps (expm1.f64 (*.f64 b eps)))
	62.6b	(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (/.f64 (.f64 b (.f64 (.f64 a eps) (*.f64 a eps))) 2))
▶	10.3b	(/.f64 1 (/.f64 a (/.f64 (+.f64 a b) b)))
✓	34.3b	(/.f64 1 a)
✓	3.5b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	9.1b	(*.f64 (+.f64 (/.f64 b a) 1) (/.f64 1 b))
✓	25.0b	(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))) eps) (expm1.f64 (.f64 b eps)))
▶	39.9b	(*.f64 (/.f64 b a) (/.f64 1 b))
	39.0b	(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (.f64 (.f64 b eps) (.f64 a (+.f64 -1 (.f64 (.f64 eps -1/2) a)))))
	10.3b	(/.f64 (/.f64 (+.f64 a b) b) a)
▶	46.8b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (.f64 eps b)))))
	46.5b	(/.f64 (exp.f64 (log.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))))) (expm1.f64 (.f64 b eps)))
✓	17.2b	(/.f64 (+.f64 a b) (*.f64 a b))
	22.8b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
✓	33.1b	(/.f64 1 b)
	57.3b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 a (.f64 a eps)) (*.f64 b 1/2))))))
▶	3.1b	(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
	17.8b	(.f64 (/.f64 1 (.f64 a b)) (+.f64 a b))
▶	52.9b	(/.f64 (expm1.f64 (.f64 b eps)) (.f64 b (*.f64 a eps)))
	57.9b	(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (pow.f64 (pow.f64 (expm1.f64 (.f64 a eps)) 3) 1/3)) eps) (expm1.f64 (.f64 b eps)))

Compiler

Compiled 651 to 425 computations (34.7% saved)

localize88.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

series5.0ms (0%)

Counts

2 → 42

Calls

15 calls:

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

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
558×	`fma-def_binary64`
326×	`pow2_binary64`
271×	`fma-neg_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	253	26
2	3764	24

Stop Event

1×	node limit

Counts

2 → 206

Calls

Call 1

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

Outputs

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

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

simplify148.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

197×	`fma-def_binary64`
164×	`fma-neg_binary64`
70×	`cancel-sign-sub-inv_binary64`
38×	`associate--r+_binary64`
37×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	432
1	33	428
2	50	424
3	80	424
4	119	424
5	183	424
6	335	424
7	476	424
8	586	424
9	745	424
10	831	424
11	835	424

Stop Event

1×

saturated

Counts

248 → 219

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.4b	(*.f64 (/.f64 b a) (/.f64 1 b))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`pow1_binary64`
709×	`add-log-exp_binary64`
709×	`log1p-expm1-u_binary64`
709×	`expm1-log1p-u_binary64`
692×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	150	4
2	2099	4

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify35.0ms (0.2%)

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

73 → 49

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 3 expressions with local error:

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

Compiler

Compiled 30 to 9 computations (70% saved)

series8.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite144.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	184	27
2	2841	27

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

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

Outputs

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

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

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

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

552×	`fma-def_binary64`
506×	`associate-/r*_binary64`
405×	`associate-r_binary64`
393×	`associate-*l/_binary64`
376×	`difference-of-squares_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	777
1	108	747
2	294	711
3	1219	687
4	6950	687

Stop Event

1×	node limit

Counts

227 → 176

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 b eps))
✓	3.6b	(.f64 b (.f64 a eps))
✓	24.6b	(/.f64 (expm1.f64 (.f64 b eps)) (.f64 b (*.f64 a eps)))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series12.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`log-prod_binary64`
431×	`prod-exp_binary64`
421×	`exp-prod_binary64`
368×	`pow-prod-down_binary64`
249×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	185	22
2	2527	22

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

881×	`times-frac_binary64`
789×	`unswap-sqr_binary64`
679×	`fma-def_binary64`
663×	`associate-*l/_binary64`
504×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	864
1	104	860
2	278	860
3	1068	860
4	4042	848

Stop Event

1×	node limit

Counts

180 → 119

Calls

Call 1

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

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

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (.f64 eps b)))
✓	5.2b	(.f64 (.f64 1/2 (*.f64 eps eps)) a)
✓	15.8b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (*.f64 eps b))))
✓	24.2b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (.f64 eps b)))))

Compiler

Compiled 127 to 45 computations (64.6% saved)

series73.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
12.0ms	b	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (.f64 eps b)))))
5.0ms	b	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (.f64 eps b)))))
5.0ms	a	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (.f64 eps b)))))
4.0ms	b	@	0	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (*.f64 eps b))))
4.0ms	eps	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))) (expm1.f64 (.f64 eps b)))))

rewrite132.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`fma-def_binary64`
358×	`expm1-udef_binary64`
358×	`log1p-udef_binary64`
317×	`fma-neg_binary64`
218×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	107
1	400	101
2	5934	101

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

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

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

simplify374.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

435×	`cancel-sign-sub-inv_binary64`
371×	`associate-/r*_binary64`
304×	`associate-r_binary64`
290×	`fma-def_binary64`
238×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	8607
1	1327	8201
2	5430	8131

Stop Event

1×	node limit

Counts

237 → 207

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

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

eval544.0ms (2.6%)

Compiler: Compiled 20547 to 9976 computations (51.4% saved)

prune168.0ms (0.8%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	797	7	804
Fresh	4	8	12
Picked	1	0	1
Done	4	5	9
Total	806	20	826

Error

0.0b

Counts

826 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	43.0b	(/.f64 eps (expm1.f64 (*.f64 b eps)))
	62.6b	(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (/.f64 (.f64 b (.f64 (.f64 a eps) (*.f64 a eps))) 2))
	61.9b	(*.f64 eps -1/2)
✓	34.3b	(/.f64 1 a)
✓	3.5b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	33.1b	(/.f64 1 (-.f64 b (*.f64 b (/.f64 b a))))
✓	25.0b	(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))) eps) (expm1.f64 (.f64 b eps)))
	8.7b	(-.f64 (/.f64 (/.f64 (+.f64 b a) a) b) (*.f64 1/2 eps))
	33.9b	(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
	41.1b	(/.f64 b (*.f64 b a))
	46.5b	(/.f64 (exp.f64 (log.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 a eps))))) (expm1.f64 (.f64 b eps)))
	57.9b	(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (pow.f64 (pow.f64 (expm1.f64 (.f64 a eps)) 3) 1/3)) eps) (expm1.f64 (.f64 b eps)))
	39.6b	(-.f64 (+.f64 1 (/.f64 1 a)) 1)
✓	33.1b	(/.f64 1 b)
	57.3b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 eps eps) (+.f64 (.f64 a b) (.f64 (.f64 a (.f64 a eps)) (*.f64 b 1/2))))))
	28.7b	(/.f64 (/.f64 (.f64 eps (+.f64 a b)) a) (fma.f64 b eps (.f64 (.f64 b b) (+.f64 (.f64 (pow.f64 eps 3) (.f64 b 1/6)) (.f64 eps (*.f64 eps 1/2))))))
	39.0b	(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (.f64 (.f64 b eps) (.f64 a (+.f64 -1 (.f64 (.f64 eps -1/2) a)))))
	32.7b	(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
	10.3b	(/.f64 (/.f64 (+.f64 a b) b) a)
✓	52.9b	(/.f64 (expm1.f64 (.f64 b eps)) (.f64 b (*.f64 a eps)))

Compiler

Compiled 298 to 199 computations (33.2% saved)

regimes257.0ms (1.2%)

Counts

49 → 3

Calls

Call 1

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

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

Calls

4 calls:

96.0ms	b
55.0ms	a
47.0ms	eps
28.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Results

Error	Segments	Branch
1.9b	2	`a`
2.1b	3	`b`
3.1b	1	`eps`
0.0b	3	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))`

Compiler

Compiled 713 to 300 computations (57.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.86524510520069e-9	+inf
0.0ms	-inf	-1.037618457678868e-12

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes93.0ms (0.4%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	a
26.0ms	eps
25.0ms	b

Results

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

Compiler

Compiled 521 to 226 computations (56.6% saved)

regimes77.0ms (0.4%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	eps
22.0ms	b
21.0ms	a

Results

Error	Segments	Branch
3.5b	1	`a`
3.5b	1	`b`
3.5b	1	`eps`

Compiler

Compiled 162 to 85 computations (47.5% saved)

regimes63.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	eps
16.0ms	b
12.0ms	a

Results

Error	Segments	Branch
5.4b	2	`a`
5.8b	2	`b`
9.1b	2	`eps`

Compiler

Compiled 67 to 45 computations (32.8% saved)

bsearch86.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
86.0ms	-2.775102031057418e+108	-2.498773456077702e+108

Compiler

Compiled 55 to 40 computations (27.3% saved)

regimes71.0ms (0.3%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	eps
23.0ms	b
11.0ms	a

Results

Error	Segments	Branch
13.5b	2	`a`
12.5b	4	`b`
23.5b	6	`eps`

Compiler

Compiled 60 to 42 computations (30% saved)

bsearch525.0ms (2.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
158.0ms	4.178900223638555e-24	2.5245644918562582e-23
160.0ms	1.188978128409926e-37	1.326348855371944e-35
207.0ms	5.551263307660544e-175	1.0184873200755857e-170

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes75.0ms (0.4%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	b
28.0ms	eps
13.0ms	a

Results

Error	Segments	Branch
13.6b	2	`a`
12.7b	4	`b`
23.6b	6	`eps`

Compiler

Compiled 46 to 33 computations (28.3% saved)

bsearch609.0ms (2.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
187.0ms	4.178900223638555e-24	2.5245644918562582e-23
177.0ms	1.188978128409926e-37	1.326348855371944e-35
245.0ms	5.551263307660544e-175	1.0184873200755857e-170

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes84.0ms (0.4%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	eps
18.0ms	b
10.0ms	a

Results

Error	Segments	Branch
13.6b	2	`a`
12.7b	4	`b`
23.7b	6	`eps`

Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch613.0ms (2.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
156.0ms	4.178900223638555e-24	2.5245644918562582e-23
181.0ms	1.188978128409926e-37	1.326348855371944e-35
276.0ms	5.551263307660544e-175	1.0184873200755857e-170

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes64.0ms (0.3%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	b
25.0ms	eps
9.0ms	a

Results

Error	Segments	Branch
13.8b	2	`a`
12.9b	4	`b`
24.0b	6	`eps`

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch817.0ms (3.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
243.0ms	4.178900223638555e-24	2.5245644918562582e-23
288.0ms	1.188978128409926e-37	1.326348855371944e-35
286.0ms	5.551263307660544e-175	1.0184873200755857e-170

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes50.0ms (0.2%)

Accuracy

Total -29.2b remaining (-88.4%)

Threshold costs -29.2b (-88.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1 b)

Calls

3 calls:

33.0ms	a
8.0ms	eps
7.0ms	b

Results

Error	Segments	Branch
33.1b	1	`a`
33.1b	1	`b`
33.1b	1	`eps`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify34.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`*-commutative_binary64`
9×	`sub-neg_binary64`
6×	`cancel-sign-sub-inv_binary64`
2×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	364
1	91	364
2	106	364
3	110	364
4	113	364
5	114	364

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (/.f64 (/.f64 (+.f64 a b) b) a) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 3022314549036573/302231454903657293676544) (/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))) eps) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -2499999999999999954627176797099951966179412741082042811989599592474768138595013324551450856098284419065839616) (-.f64 (/.f64 1 b) (*.f64 1/2 eps)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 2532730919398620160/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (if (<=.f64 b 1423518499980689/11972621413014756705924586149611790497021399392059392) (-.f64 (+.f64 1 (/.f64 1 a)) 1) (if (<=.f64 b 2844012118452333/680564733841876926926749214863536422912) (/.f64 1 b) (-.f64 (/.f64 1 a) (.f64 1/2 eps)))))
(if (<=.f64 b 2532730919398620160/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 1 b) (if (<=.f64 b 1423518499980689/11972621413014756705924586149611790497021399392059392) (-.f64 (+.f64 1 (/.f64 1 a)) 1) (if (<=.f64 b 2844012118452333/680564733841876926926749214863536422912) (/.f64 1 b) (-.f64 (/.f64 1 a) (*.f64 1/2 eps)))))
(if (<=.f64 b 2532730919398620160/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 1 b) (if (<=.f64 b 1423518499980689/11972621413014756705924586149611790497021399392059392) (/.f64 1 a) (if (<=.f64 b 2844012118452333/680564733841876926926749214863536422912) (/.f64 1 b) (-.f64 (/.f64 1 a) (*.f64 1/2 eps)))))
(if (<=.f64 b 2532730919398620160/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 1 b) (if (<=.f64 b 1423518499980689/11972621413014756705924586149611790497021399392059392) (/.f64 1 a) (if (<=.f64 b 2844012118452333/680564733841876926926749214863536422912) (/.f64 1 b) (/.f64 1 a))))
(/.f64 1 b)
(*.f64 eps -1/2)

Outputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (/.f64 (/.f64 (+.f64 a b) b) a) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 3022314549036573/302231454903657293676544) (/.f64 (.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps))) eps) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) -inf.0) (/.f64 (/.f64 (+.f64 a b) b) a) (if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) 3022314549036573/302231454903657293676544) (/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 eps b))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 eps -1/2))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -2499999999999999954627176797099951966179412741082042811989599592474768138595013324551450856098284419065839616) (-.f64 (/.f64 1 b) (*.f64 1/2 eps)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 a -2499999999999999954627176797099951966179412741082042811989599592474768138595013324551450856098284419065839616) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 2532730919398620160/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (if (<=.f64 b 1423518499980689/11972621413014756705924586149611790497021399392059392) (-.f64 (+.f64 1 (/.f64 1 a)) 1) (if (<=.f64 b 2844012118452333/680564733841876926926749214863536422912) (/.f64 1 b) (-.f64 (/.f64 1 a) (.f64 1/2 eps)))))
(if (<=.f64 b 2473370038475215/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (+.f64 (/.f64 1 b) (.f64 eps -1/2)) (if (<=.f64 b 1423518499980689/11972621413014756705924586149611790497021399392059392) (+.f64 (+.f64 1 (/.f64 1 a)) -1) (if (<=.f64 b 2844012118452333/680564733841876926926749214863536422912) (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 eps -1/2)))))
(if (<=.f64 b 2532730919398620160/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 1 b) (if (<=.f64 b 1423518499980689/11972621413014756705924586149611790497021399392059392) (-.f64 (+.f64 1 (/.f64 1 a)) 1) (if (<=.f64 b 2844012118452333/680564733841876926926749214863536422912) (/.f64 1 b) (-.f64 (/.f64 1 a) (*.f64 1/2 eps)))))
(if (<=.f64 b 2473370038475215/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (/.f64 1 b) (if (<=.f64 b 1423518499980689/11972621413014756705924586149611790497021399392059392) (+.f64 (+.f64 1 (/.f64 1 a)) -1) (if (<=.f64 b 2844012118452333/680564733841876926926749214863536422912) (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))))
(if (<=.f64 b 2532730919398620160/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 1 b) (if (<=.f64 b 1423518499980689/11972621413014756705924586149611790497021399392059392) (/.f64 1 a) (if (<=.f64 b 2844012118452333/680564733841876926926749214863536422912) (/.f64 1 b) (-.f64 (/.f64 1 a) (*.f64 1/2 eps)))))
(if (<=.f64 b 2473370038475215/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (/.f64 1 b) (if (<=.f64 b 1423518499980689/11972621413014756705924586149611790497021399392059392) (/.f64 1 a) (if (<=.f64 b 2844012118452333/680564733841876926926749214863536422912) (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))))
(if (<=.f64 b 2532730919398620160/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 1 b) (if (<=.f64 b 1423518499980689/11972621413014756705924586149611790497021399392059392) (/.f64 1 a) (if (<=.f64 b 2844012118452333/680564733841876926926749214863536422912) (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b 2473370038475215/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (/.f64 1 b) (if (<=.f64 b 1423518499980689/11972621413014756705924586149611790497021399392059392) (/.f64 1 a) (if (<=.f64 b 2844012118452333/680564733841876926926749214863536422912) (/.f64 1 b) (/.f64 1 a))))
(/.f64 1 b)
(*.f64 eps -1/2)

Compiler

Compiled 278 to 190 computations (31.7% saved)

soundness373.0ms (1.8%)

Algorithm

4×	egg-herbie

Rules

986×	`times-frac_binary64`
986×	`times-frac_binary64`
986×	`times-frac_binary64`
881×	`times-frac_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	18	28
1	47	28
2	108	28
3	269	28
4	989	28
0	300	5625
1	1028	5551
2	3955	5252
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28

Stop Event

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

Compiler

Compiled 1140 to 772 computations (32.3% saved)

end262.0ms (1.3%)

Compiler: Compiled 429 to 254 computations (40.8% saved)

Iter	Nodes	Cost
0	17	432
1	33	428
2	50	424
3	80	424
4	119	424
5	183	424
6	335	424
7	476	424
8	586	424
9	745	424
10	831	424
11	835	424

Iter	Nodes	Cost
0	17	432
1	33	428
2	50	424
3	80	424
4	119	424
5	183	424
6	335	424
7	476	424
8	586	424
9	745	424
10	831	424
11	835	424

Iter	Nodes	Cost
0	17	432
1	33	428
2	50	424
3	80	424
4	119	424
5	183	424
6	335	424
7	476	424
8	586	424
9	745	424
10	831	424
11	835	424