Details

analyze532.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample11.7s (47.9%)

Results

7.8s	4249×	body	2048	valid
2.3s	2401×	body	1024	valid
362.0ms	746×	body	512	valid
316.0ms	311×	body	2048	invalid
292.0ms	440×	body	1024	invalid
278.0ms	731×	body	256	invalid
190.0ms	848×	body	256	valid
80.0ms	222×	body	512	invalid
22.0ms	12×	body	4096	valid

preprocess111.0ms (0.5%)

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)

simplify38.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

40.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.1b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize80.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	0.1b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	15.3b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	27.1b	(.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)

series85.0ms (0.3%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
14.0ms	b	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
7.0ms	eps	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
7.0ms	a	@	0	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
5.0ms	a	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
4.0ms	eps	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

rewrite293.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	76
1	294	76
2	4083	76

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))) (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) 1) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 2)) (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) eps) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) eps) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps 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simplify193.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	5943
1	1129	5861
2	4342	5743

Stop Event

1×	node limit

Counts

264 → 228

Calls

Call 1

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

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

eval282.0ms (1.2%)

Compiler: Compiled 9532 to 3548 computations (62.8% saved)

prune53.0ms (0.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	216	12	228
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	217	12	229

Error

0.0b

Counts

229 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	32.2b	(/.f64 1 b)
	52.7b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (exp.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))))
	58.5b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (pow.f64 eps 2) (.f64 a b))))
▶	10.1b	(/.f64 (/.f64 (+.f64 a b) a) b)
	50.8b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	34.8b	(/.f64 1 a)
	53.1b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	55.1b	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
▶	59.5b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))
▶	16.1b	(/.f64 (+.f64 a b) (*.f64 a b))
	54.5b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
	38.5b	(.f64 eps (/.f64 (/.f64 (+.f64 a b) (.f64 a eps)) b))

Compiler

Compiled 372 to 244 computations (34.4% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) a)
✓	6.2b	(/.f64 (/.f64 (+.f64 a b) a) b)

Compiler

Compiled 20 to 6 computations (70% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite60.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

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

Outputs

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

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

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	345
1	13	345

Stop Event

1×

saturated

Counts

119 → 79

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.2b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite204.0ms (0.8%)

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))))))))

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))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.5b	(.f64 a (.f64 b (*.f64 eps eps)))
✓	6.6b	(.f64 b (.f64 eps eps))
✓	14.4b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (.f64 eps eps))))
✓	27.2b	(.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)

series31.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

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

rewrite91.0ms (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 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (.f64 a (.f64 eps (.f64 eps b)))) 2)) (cbrt.f64 (.f64 a (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (sqrt.f64 (.f64 a b)) eps)) (.f64 (sqrt.f64 (.f64 a b)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a b)) (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) eps) (.f64 a (neg.f64 (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) a) eps) (.f64 eps (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 a (neg.f64 (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) a)) (.f64 eps (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (sqrt.f64 (.f64 a b)) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (*.f64 eps b)))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) (.f64 a (.f64 eps (.f64 eps b)))) (/.f64 1 (.f64 a (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 1 (.f64 a (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) 2) (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) (.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 1 (.f64 a (.f64 eps (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (sqrt.f64 (.f64 a b)) eps)) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (sqrt.f64 (.f64 a b)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 1 (.f64 a (.f64 eps (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 1 (.f64 a (neg.f64 (.f64 eps (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 a (.f64 eps (.f64 eps b)))) (expm1.f64 (.f64 eps (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) a) (/.f64 1 (.f64 eps (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 1) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 a (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) a) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 eps (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 eps (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) a) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 eps (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 eps (.f64 eps b))) (/.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (sqrt.f64 (.f64 a b)) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 eps (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (neg.f64 (.f64 eps (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (.f64 eps b)))) 2))))) (#(struct:change #<rule egg-rr> 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egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 eps (*.f64 eps b))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 eps (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) b)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) b)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) b))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 eps b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (.f64 eps b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps (.f64 eps b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps (.f64 eps b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (sqrt.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 eps 4) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps (.f64 eps b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (.f64 eps eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 eps (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 eps (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 eps (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 eps (*.f64 eps b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (.f64 eps (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 eps (.f64 eps b)))) (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 eps (.f64 eps b)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 eps (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 eps (.f64 eps b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 eps (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 eps (.f64 eps b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 eps (.f64 eps b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 eps (.f64 eps b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 eps (.f64 eps b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 a b)) eps) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (.f64 eps (.f64 eps b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (.f64 eps (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 eps (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (.f64 eps (.f64 eps b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (.f64 eps (.f64 eps b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 eps (.f64 eps b)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (.f64 eps (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (.f64 eps (.f64 eps b)))) 1))))))

simplify98.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

247 → 175

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 b) (*.f64 eps -1/2))
✓	0.0b	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
✓	0.0b	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 a eps)))))
✓	3.5b	(-.f64 1 (exp.f64 (neg.f64 (*.f64 a eps))))

Compiler

Compiled 66 to 31 computations (53% saved)

series18.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

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

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`fma-def_binary64`
340×	`fma-neg_binary64`
286×	`expm1-udef_binary64`
285×	`log1p-udef_binary64`
233×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	61
1	337	51
2	4992	51

Stop Event

1×	node limit

Counts

4 → 231

Calls

Call 1

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

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

simplify85.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

939×	`fma-def_binary64`
721×	`associate-l_binary64`
627×	`associate-r_binary64`
290×	`distribute-rgt-in_binary64`
286×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1870
1	365	1813
2	1395	1750
3	7478	1742

Stop Event

1×	node limit

Counts

339 → 277

Calls

Call 1

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

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

eval176.0ms (0.7%)

Compiler: Compiled 12581 to 5731 computations (54.4% saved)

prune94.0ms (0.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	567	6	573
Fresh	5	2	7
Picked	1	0	1
Done	1	3	4
Total	574	11	585

Error

Counts

585 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	10.2b	(*.f64 (/.f64 1 a) (/.f64 (+.f64 a b) b))
▶	32.2b	(/.f64 1 b)
✓	10.1b	(/.f64 (/.f64 (+.f64 a b) a) b)
	50.8b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
✓	16.1b	(/.f64 (+.f64 a b) (*.f64 a b))
	41.4b	(/.f64 (/.f64 b a) b)
✓	34.8b	(/.f64 1 a)
▶	3.3b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
▶	20.4b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
▶	52.7b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (exp.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))))
▶	3.5b	(+.f64 (/.f64 1 b) (/.f64 1 a))

Compiler

Compiled 238 to 165 computations (30.7% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 91

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

127 → 103

Calls

Call 1

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

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

localize6.0ms (0%)

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

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series3.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite65.0ms (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))))))

simplify14.0ms (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))

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.9b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
	15.2b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 128

Calls

Call 1

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

Outputs

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

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	204
1	10	204

Stop Event

1×

saturated

Counts

152 → 132

Calls

Call 1

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

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

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(exp.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
✓	7.9b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (exp.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))
✓	15.8b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (exp.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))))
✓	38.3b	(log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))

Compiler

Compiled 102 to 15 computations (85.3% saved)

series171.0ms (0.7%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
42.0ms	a	@	inf	(log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
36.0ms	eps	@	inf	(log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
28.0ms	b	@	-inf	(log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
19.0ms	eps	@	-inf	(log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
15.0ms	b	@	inf	(log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`prod-diff_binary64`
863×	`log-prod_binary64`
300×	`fma-def_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	83
1	317	83
2	4201	83

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

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

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

simplify141.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

424×	`cancel-sign-sub-inv_binary64`
374×	`associate-r_binary64`
355×	`fma-def_binary64`
313×	`associate-l_binary64`
259×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	6395
1	1278	6305
2	5272	6188

Stop Event

1×	node limit

Counts

294 → 253

Calls

Call 1

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

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

eval234.0ms (1%)

Compiler: Compiled 16896 to 7480 computations (55.7% saved)

prune104.0ms (0.4%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	626	9	635
Fresh	1	2	3
Picked	0	1	1
Done	3	4	7
Total	630	16	646

Error

Counts

646 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.7b	(-.f64 (+.f64 1 (/.f64 1 b)) 1)
	23.8b	(+.f64 (/.f64 1 a) (exp.f64 (log.f64 (fma.f64 eps -1/2 (/.f64 1 b)))))
✓	34.8b	(/.f64 1 a)
▶	4.4b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
▶	31.9b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
✓	32.2b	(/.f64 1 b)
✓	10.1b	(/.f64 (/.f64 (+.f64 a b) a) b)
	50.8b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	53.6b	(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))) 3) 1/3)
✓	52.7b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (exp.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))))
	41.4b	(/.f64 (/.f64 b a) b)
▶	21.2b	(fma.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (*.f64 1/2 eps))) (/.f64 1 a))
	29.6b	(/.f64 (+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (.f64 a (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
✓	3.5b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	34.5b	(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
▶	62.0b	(*.f64 -1/2 eps)

Compiler

Compiled 391 to 295 computations (24.6% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 39 computations (29.1% saved)

series60.0ms (0.2%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
21.0ms	eps	@	inf	(cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b))))
6.0ms	eps	@	0	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
4.0ms	a	@	inf	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
4.0ms	b	@	inf	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)
3.0ms	a	@	0	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))) 3)

rewrite159.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 185

Calls

Call 1

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

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

simplify259.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

285 → 198

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) (pow.f64 a 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))))))))
(+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (/.f64 (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3))))))) (pow.f64 a 3))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/9) (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) (pow.f64 a 3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)))) (pow.f64 a 3)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9) (/.f64 1 a))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) (pow.f64 a 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))))))))))))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) a)) (.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) a)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) (pow.f64 a 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2))))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) a)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (+.f64 (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)))))))) (+.f64 (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/3)))) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)) 1/9) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)))))))) (pow.f64 a 3))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/3) (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4)) 1/9))) (pow.f64 a 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) 1/9) (/.f64 1 (pow.f64 a 2)))))))))
(pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 b) (/.f64 1 a))) 1/3)
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(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))) (+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (pow.f64 b 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 7)) 1/9) (/.f64 1 (pow.f64 b 2)))))))
(pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 1/3)
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 7)) 1/9) (/.f64 1 (pow.f64 b 2))))))
(+.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/9) (/.f64 1 b))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3) (/.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (pow.f64 b 3)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 7)) 1/9) (/.f64 1 (pow.f64 b 2)))))))
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))

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

localize9.0ms (0%)

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

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series3.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	10	24

Stop Event

1×

saturated

Counts

41 → 37

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.1b	(-.f64 (+.f64 1 (/.f64 1 b)) 1)

Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite225.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	6	48

Stop Event

1×

saturated

Counts

58 → 46

Calls

Call 1

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

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

localize79.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/4 (.f64 eps eps))
✓	0.0b	(-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps)))
✓	0.1b	(/.f64 1 (+.f64 (/.f64 1 b) (*.f64 1/2 eps)))
✓	17.0b	(fma.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (*.f64 1/2 eps))) (/.f64 1 a))

Compiler

Compiled 77 to 50 computations (35.1% saved)

series59.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
31.0ms	b	@	inf	(fma.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (*.f64 1/2 eps))) (/.f64 1 a))
5.0ms	eps	@	inf	(fma.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (*.f64 1/2 eps))) (/.f64 1 a))
3.0ms	b	@	-inf	(fma.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (*.f64 1/2 eps))) (/.f64 1 a))
3.0ms	eps	@	-inf	(fma.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (*.f64 1/2 eps))) (/.f64 1 a))
2.0ms	a	@	0	(fma.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (*.f64 1/2 eps))) (/.f64 1 a))

rewrite136.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`fma-def_binary64`
316×	`expm1-udef_binary64`
316×	`log1p-udef_binary64`
315×	`fma-neg_binary64`
271×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	65
1	399	47
2	5208	45

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

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

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

simplify138.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-neg_binary64`
678×	`cancel-sign-sub-inv_binary64`
414×	`unswap-sqr_binary64`
369×	`associate-l_binary64`
357×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	92	1656
1	277	1656
2	971	1634
3	3044	1615
4	6573	1593

Stop Event

1×	node limit

Counts

279 → 222

Calls

Call 1

Inputs
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) b) (+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) b) (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (.f64 1/8 (pow.f64 eps 3))) (pow.f64 b 2)) (+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/4 b) (.f64 -1/4 b))) (+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/4 b) (.f64 -1/4 b))) (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/8 (pow.f64 b 2)) (*.f64 -1/8 (pow.f64 b 2)))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 1 a)
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (/.f64 1 a)) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (/.f64 1 a)) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (/.f64 1 a)) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
(-.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (/.f64 1 a)) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (/.f64 1 a)) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (/.f64 1 a)) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
(-.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (/.f64 1 a)) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (/.f64 1 a)) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (/.f64 1 a)) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
b
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 b 2))) b)
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 b 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 b 3))) b))
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 b 2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 3) (pow.f64 b 4))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 b 3))) b)))
(/.f64 2 eps)
(-.f64 (.f64 2 (/.f64 1 eps)) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 b 2))))) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 b 2))))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 b 3)))) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b)))))
(/.f64 2 eps)
(-.f64 (.f64 2 (/.f64 1 eps)) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 b 2))))) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 b 2))))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 b 3)))) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b)))))
b
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 b 2))) b)
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 b 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 b 3))) b))
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 b 2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 3) (pow.f64 b 4))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 b 3))) b)))
(/.f64 2 eps)
(-.f64 (.f64 2 (/.f64 1 eps)) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 b 2))))) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 b 2))))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 b 3)))) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b)))))
(/.f64 2 eps)
(-.f64 (.f64 2 (/.f64 1 eps)) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 b 2))))) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 b 2))))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 b 3)))) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b)))))
(/.f64 1 (pow.f64 b 2))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(*.f64 -1/4 (pow.f64 eps 2))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(*.f64 -1/4 (pow.f64 eps 2))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(/.f64 1 (pow.f64 b 2))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(*.f64 -1/4 (pow.f64 eps 2))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(*.f64 -1/4 (pow.f64 eps 2))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (pow.f64 eps 2))

Outputs
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) b) (+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) b) (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (.f64 1/8 (pow.f64 eps 3))) (pow.f64 b 2)) (+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/4 b) (.f64 -1/4 b))) (+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/4 b) (.f64 -1/4 b))) (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/8 (pow.f64 b 2)) (*.f64 -1/8 (pow.f64 b 2)))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (/.f64 1 b))
(+.f64 (/.f64 1 b) (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 -1/2 eps (/.f64 1 b)))
(/.f64 1 a)
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (/.f64 1 a)) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
(+.f64 (/.f64 1 (.f64 (.f64 b b) (fma.f64 1/2 eps (/.f64 1 b)))) (-.f64 (/.f64 1 a) (.f64 1/4 (/.f64 (.f64 eps eps) (fma.f64 1/2 eps (/.f64 1 b))))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 (.f64 (.f64 b b) (fma.f64 eps 1/2 (/.f64 1 b)))) (.f64 -1/4 (/.f64 (.f64 eps eps) (fma.f64 eps 1/2 (/.f64 1 b))))))
(+.f64 (/.f64 1 a) (fma.f64 -1/4 (/.f64 eps (/.f64 (fma.f64 eps 1/2 (/.f64 1 b)) eps)) (/.f64 (/.f64 1 (*.f64 b b)) (fma.f64 eps 1/2 (/.f64 1 b)))))
(+.f64 (/.f64 1 a) (fma.f64 -1/4 (/.f64 eps (/.f64 (fma.f64 eps 1/2 (/.f64 1 b)) eps)) (/.f64 1 (.f64 b (+.f64 1 (.f64 (*.f64 eps 1/2) b))))))
(fma.f64 -1/4 (/.f64 eps (/.f64 (fma.f64 eps 1/2 (/.f64 1 b)) eps)) (+.f64 (/.f64 1 a) (/.f64 1 (fma.f64 (.f64 b b) (.f64 eps 1/2) b))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (/.f64 1 a)) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
(+.f64 (/.f64 1 (.f64 (.f64 b b) (fma.f64 1/2 eps (/.f64 1 b)))) (-.f64 (/.f64 1 a) (.f64 1/4 (/.f64 (.f64 eps eps) (fma.f64 1/2 eps (/.f64 1 b))))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 (.f64 (.f64 b b) (fma.f64 eps 1/2 (/.f64 1 b)))) (.f64 -1/4 (/.f64 (.f64 eps eps) (fma.f64 eps 1/2 (/.f64 1 b))))))
(+.f64 (/.f64 1 a) (fma.f64 -1/4 (/.f64 eps (/.f64 (fma.f64 eps 1/2 (/.f64 1 b)) eps)) (/.f64 (/.f64 1 (*.f64 b b)) (fma.f64 eps 1/2 (/.f64 1 b)))))
(+.f64 (/.f64 1 a) (fma.f64 -1/4 (/.f64 eps (/.f64 (fma.f64 eps 1/2 (/.f64 1 b)) eps)) (/.f64 1 (.f64 b (+.f64 1 (.f64 (*.f64 eps 1/2) b))))))
(fma.f64 -1/4 (/.f64 eps (/.f64 (fma.f64 eps 1/2 (/.f64 1 b)) eps)) (+.f64 (/.f64 1 a) (/.f64 1 (fma.f64 (.f64 b b) (.f64 eps 1/2) b))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (/.f64 1 a)) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
(+.f64 (/.f64 1 (.f64 (.f64 b b) (fma.f64 1/2 eps (/.f64 1 b)))) (-.f64 (/.f64 1 a) (.f64 1/4 (/.f64 (.f64 eps eps) (fma.f64 1/2 eps (/.f64 1 b))))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 (.f64 (.f64 b b) (fma.f64 eps 1/2 (/.f64 1 b)))) (.f64 -1/4 (/.f64 (.f64 eps eps) (fma.f64 eps 1/2 (/.f64 1 b))))))
(+.f64 (/.f64 1 a) (fma.f64 -1/4 (/.f64 eps (/.f64 (fma.f64 eps 1/2 (/.f64 1 b)) eps)) (/.f64 (/.f64 1 (*.f64 b b)) (fma.f64 eps 1/2 (/.f64 1 b)))))
(+.f64 (/.f64 1 a) (fma.f64 -1/4 (/.f64 eps (/.f64 (fma.f64 eps 1/2 (/.f64 1 b)) eps)) (/.f64 1 (.f64 b (+.f64 1 (.f64 (*.f64 eps 1/2) b))))))
(fma.f64 -1/4 (/.f64 eps (/.f64 (fma.f64 eps 1/2 (/.f64 1 b)) eps)) (+.f64 (/.f64 1 a) (/.f64 1 (fma.f64 (.f64 b b) (.f64 eps 1/2) b))))
(-.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/2 eps) (/.f64 1 b)) (pow.f64 b 2))) (.f64 1/4 (/.f64 (pow.f64 eps 2) (+.f64 (.f64 1/2 eps) (/.f64 1 b)))))
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(-.f64 (.f64 2 (/.f64 1 eps)) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b))))
(-.f64 (/.f64 2 eps) (/.f64 4 (.f64 b (.f64 eps eps))))
(+.f64 (/.f64 2 eps) (/.f64 -4 (.f64 b (.f64 eps eps))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 b 2))))) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (.f64 b b))) (/.f64 4 (.f64 b (.f64 eps eps)))))
(+.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (.f64 b b))) (+.f64 (/.f64 2 eps) (/.f64 -4 (.f64 b (.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (+.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (.f64 b b))) (/.f64 -4 (.f64 b (.f64 eps eps)))))
(-.f64 (/.f64 2 eps) (-.f64 (/.f64 4 (.f64 b (.f64 eps eps))) (/.f64 8 (.f64 (pow.f64 eps 3) (.f64 b b)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 b 2))))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 b 3)))) (.f64 4 (/.f64 1 (*.f64 (pow.f64 eps 2) b)))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (.f64 b b))) (+.f64 (/.f64 4 (.f64 b (.f64 eps eps))) (/.f64 16 (*.f64 (pow.f64 b 3) (pow.f64 eps 4))))))
(+.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (.f64 b b))) (+.f64 (/.f64 2 eps) (-.f64 (/.f64 -4 (.f64 b (.f64 eps eps))) (/.f64 16 (*.f64 (pow.f64 b 3) (pow.f64 eps 4))))))
(+.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (.f64 b b))) (-.f64 (/.f64 -4 (.f64 b (.f64 eps eps))) (-.f64 (/.f64 16 (*.f64 (pow.f64 b 3) (pow.f64 eps 4))) (/.f64 2 eps))))
(/.f64 1 (pow.f64 b 2))
(/.f64 1 (*.f64 b b))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(*.f64 -1/4 (pow.f64 eps 2))
(.f64 (.f64 eps eps) -1/4)
(.f64 eps (.f64 eps -1/4))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(*.f64 -1/4 (pow.f64 eps 2))
(.f64 (.f64 eps eps) -1/4)
(.f64 eps (.f64 eps -1/4))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(/.f64 1 (pow.f64 b 2))
(/.f64 1 (*.f64 b b))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(*.f64 -1/4 (pow.f64 eps 2))
(.f64 (.f64 eps eps) -1/4)
(.f64 eps (.f64 eps -1/4))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(*.f64 -1/4 (pow.f64 eps 2))
(.f64 (.f64 eps eps) -1/4)
(.f64 eps (.f64 eps -1/4))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 1 (pow.f64 b 2)))
(fma.f64 -1/4 (.f64 eps eps) (/.f64 1 (.f64 b b)))
(fma.f64 (.f64 eps eps) -1/4 (/.f64 1 (.f64 b b)))
(fma.f64 eps (.f64 eps -1/4) (/.f64 1 (.f64 b b)))
(*.f64 1/4 (pow.f64 eps 2))
(.f64 1/4 (.f64 eps eps))
(.f64 eps (.f64 eps 1/4))
(*.f64 1/4 (pow.f64 eps 2))
(.f64 1/4 (.f64 eps eps))
(.f64 eps (.f64 eps 1/4))
(*.f64 1/4 (pow.f64 eps 2))
(.f64 1/4 (.f64 eps eps))
(.f64 eps (.f64 eps 1/4))
(*.f64 1/4 (pow.f64 eps 2))
(.f64 1/4 (.f64 eps eps))
(.f64 eps (.f64 eps 1/4))
(*.f64 1/4 (pow.f64 eps 2))
(.f64 1/4 (.f64 eps eps))
(.f64 eps (.f64 eps 1/4))
(*.f64 1/4 (pow.f64 eps 2))
(.f64 1/4 (.f64 eps eps))
(.f64 eps (.f64 eps 1/4))
(*.f64 1/4 (pow.f64 eps 2))
(.f64 1/4 (.f64 eps eps))
(.f64 eps (.f64 eps 1/4))
(*.f64 1/4 (pow.f64 eps 2))
(.f64 1/4 (.f64 eps eps))
(.f64 eps (.f64 eps 1/4))
(*.f64 1/4 (pow.f64 eps 2))
(.f64 1/4 (.f64 eps eps))
(.f64 eps (.f64 eps 1/4))
(*.f64 1/4 (pow.f64 eps 2))
(.f64 1/4 (.f64 eps eps))
(.f64 eps (.f64 eps 1/4))
(*.f64 1/4 (pow.f64 eps 2))
(.f64 1/4 (.f64 eps eps))
(.f64 eps (.f64 eps 1/4))
(*.f64 1/4 (pow.f64 eps 2))
(.f64 1/4 (.f64 eps eps))
(.f64 eps (.f64 eps 1/4))

eval796.0ms (3.3%)

Compiler: Compiled 16367 to 12633 computations (22.8% saved)

prune190.0ms (0.8%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	497	6	503
Fresh	2	4	6
Picked	1	0	1
Done	1	8	9
Total	501	18	519

Error

Counts

519 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.7b	(-.f64 (+.f64 1 (/.f64 1 b)) 1)
✓	34.8b	(/.f64 1 a)
✓	31.9b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
✓	32.2b	(/.f64 1 b)
	37.9b	(exp.f64 (log.f64 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 -1/2 eps)))))
✓	52.7b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (exp.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))))
✓	10.1b	(/.f64 (/.f64 (+.f64 a b) a) b)
	50.8b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	29.6b	(/.f64 (+.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (.f64 a (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))))) (.f64 a (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
	34.5b	(fma.f64 (.f64 eps (.f64 eps -1/4)) (/.f64 1 (+.f64 (/.f64 1 b) (*.f64 1/2 eps))) (/.f64 1 a))
	32.5b	(pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b))) 3)
	62.0b	(pow.f64 (cbrt.f64 (*.f64 -1/2 eps)) 3)
	53.6b	(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 -1/2 eps))) 3) 1/3)
	41.4b	(/.f64 (/.f64 b a) b)
	51.0b	(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 1/3) 3)
✓	3.5b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	34.5b	(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
✓	62.0b	(*.f64 -1/2 eps)

Compiler

Compiled 241 to 184 computations (23.7% saved)

regimes182.0ms (0.7%)

Counts

35 → 3

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	eps
31.0ms	a
29.0ms	b
19.0ms	(/.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
3.3b	1	`a`
3.3b	1	`b`
3.3b	1	`eps`
0.0b	3	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))`

Compiler

Compiled 467 to 272 computations (41.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.418516029011669e-61	+inf
0.0ms	-inf	-2.486381672383857e-16

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes120.0ms (0.5%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	eps
29.0ms	b
28.0ms	a

Results

Error	Segments	Branch
3.3b	1	`a`
3.3b	1	`b`
3.3b	1	`eps`

Compiler

Compiled 378 to 235 computations (37.8% saved)

regimes76.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	b
14.0ms	eps
14.0ms	a

Results

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

Compiler

Compiled 83 to 52 computations (37.3% saved)

regimes207.0ms (0.9%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	b
62.0ms	a
62.0ms	eps

Results

Error	Segments	Branch
11.2b	4	`a`
13.2b	4	`b`
23.3b	6	`eps`

Compiler

Compiled 53 to 38 computations (28.3% saved)

bsearch1.3s (5.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
496.0ms	-2.245091490302119e-218	-1.3108174874803637e-218
392.0ms	-2.1027638760406226e-165	-8.91419628141848e-170
401.0ms	-1.630186191622274e-105	-1.2763670548009234e-122

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes198.0ms (0.8%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

3 calls:

88.0ms	eps
65.0ms	b
41.0ms	a

Results

Error	Segments	Branch
11.2b	4	`a`
13.2b	4	`b`
23.4b	6	`eps`

Compiler

Compiled 46 to 33 computations (28.3% saved)

bsearch1.5s (6.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
624.0ms	-2.245091490302119e-218	-1.3108174874803637e-218
433.0ms	-2.1027638760406226e-165	-8.91419628141848e-170
472.0ms	-1.630186191622274e-105	-1.2763670548009234e-122

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes174.0ms (0.7%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

3 calls:

67.0ms	b
66.0ms	eps
37.0ms	a

Results

Error	Segments	Branch
11.4b	4	`a`
13.4b	4	`b`
23.5b	6	`eps`

Compiler

Compiled 39 to 28 computations (28.2% saved)

bsearch1.1s (4.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
381.0ms	-2.245091490302119e-218	-1.3108174874803637e-218
298.0ms	-2.1027638760406226e-165	-8.91419628141848e-170
396.0ms	-1.630186191622274e-105	-1.2763670548009234e-122

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes119.0ms (0.5%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

59.0ms	a
38.0ms	eps
20.0ms	b

Results

Error	Segments	Branch
11.4b	4	`a`
13.4b	4	`b`
24.8b	4	`eps`

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.2s (5.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
314.0ms	-2.245091490302119e-218	-1.3108174874803637e-218
635.0ms	-2.1027638760406226e-165	-8.91419628141848e-170
297.0ms	-1.630186191622274e-105	-1.2763670548009234e-122

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes13.0ms (0.1%)

Accuracy

Total -30.2b remaining (-94%)

Threshold costs -30.2b (-94%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 1 b)

Calls

3 calls:

5.0ms	a
4.0ms	b
3.0ms	eps

Results

Error	Segments	Branch
32.2b	1	`a`
32.2b	1	`b`
32.2b	1	`eps`

Compiler

Compiled 24 to 18 computations (25% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`*-commutative_binary64`
4×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	338
1	85	338
2	89	338

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 3618502788666131/7237005577332262213973186563042994240829374041602535252466099000494570602496) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -4209548094575579/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) (if (<=.f64 a -4362725720655553/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 1 a) (if (<=.f64 a -8922995603364867/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (-.f64 (+.f64 1 (/.f64 1 b)) 1) (+.f64 (/.f64 1 a) (.f64 eps -1/2)))))
(if (<=.f64 a -4209548094575579/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (if (<=.f64 a -4362725720655553/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 1 a) (if (<=.f64 a -8922995603364867/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (-.f64 (+.f64 1 (/.f64 1 b)) 1) (/.f64 1 a))))
(if (<=.f64 a -4209548094575579/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (/.f64 1 b) (if (<=.f64 a -4362725720655553/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 1 a) (if (<=.f64 a -8922995603364867/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (-.f64 (+.f64 1 (/.f64 1 b)) 1) (/.f64 1 a))))
(if (<=.f64 a -4209548094575579/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (/.f64 1 b) (if (<=.f64 a -4362725720655553/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 1 a) (if (<=.f64 a -8922995603364867/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (/.f64 1 b) (/.f64 1 a))))
(/.f64 1 b)
(*.f64 -1/2 eps)

Outputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 3618502788666131/7237005577332262213973186563042994240829374041602535252466099000494570602496) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) -inf.0) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) 3618502788666131/7237005577332262213973186563042994240829374041602535252466099000494570602496) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -4209548094575579/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) (if (<=.f64 a -4362725720655553/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 1 a) (if (<=.f64 a -8922995603364867/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (-.f64 (+.f64 1 (/.f64 1 b)) 1) (+.f64 (/.f64 1 a) (.f64 eps -1/2)))))
(if (<=.f64 a -4209548094575579/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (+.f64 (/.f64 1 b) (.f64 eps -1/2)) (if (<=.f64 a -4362725720655553/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 1 a) (if (<=.f64 a -8922995603364867/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (+.f64 (+.f64 1 (/.f64 1 b)) -1) (+.f64 (/.f64 1 a) (.f64 eps -1/2)))))
(if (<=.f64 a -4209548094575579/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (if (<=.f64 a -4362725720655553/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 1 a) (if (<=.f64 a -8922995603364867/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (-.f64 (+.f64 1 (/.f64 1 b)) 1) (/.f64 1 a))))
(if (<=.f64 a -4209548094575579/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) (if (<=.f64 a -4362725720655553/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 1 a) (if (<=.f64 a -8922995603364867/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (+.f64 (+.f64 1 (/.f64 1 b)) -1) (/.f64 1 a))))
(if (<=.f64 a -4209548094575579/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (/.f64 1 b) (if (<=.f64 a -4362725720655553/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 1 a) (if (<=.f64 a -8922995603364867/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (-.f64 (+.f64 1 (/.f64 1 b)) 1) (/.f64 1 a))))
(if (<=.f64 a -4209548094575579/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (/.f64 1 b) (if (<=.f64 a -4362725720655553/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 1 a) (if (<=.f64 a -8922995603364867/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (+.f64 (+.f64 1 (/.f64 1 b)) -1) (/.f64 1 a))))
(if (<=.f64 a -4209548094575579/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (/.f64 1 b) (if (<=.f64 a -4362725720655553/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 1 a) (if (<=.f64 a -8922995603364867/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (/.f64 1 b) (/.f64 1 a))))
(/.f64 1 b)
(*.f64 -1/2 eps)
(*.f64 eps -1/2)

Compiler

Compiled 257 to 180 computations (30% saved)

soundness233.0ms (1%)

Algorithm

3×	egg-herbie

Rules

986×	`times-frac_binary64`
986×	`times-frac_binary64`
881×	`times-frac_binary64`
580×	`associate-/l*_binary64`
580×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28
0	330	5943
1	1129	5861
2	4342	5743
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28

Stop Event

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

Compiler

Compiled 404 to 268 computations (33.7% saved)

end129.0ms (0.5%)

Remove: (sort a b)
Compiler: Compiled 411 to 256 computations (37.7% saved)