Details

analyze548.0ms (3.3%)

Algorithm

1×

Search

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample8.3s (49.7%)

Results

5.6s	4308×	body	2048	valid
1.7s	2439×	body	1024	valid
268.0ms	687×	body	512	valid
212.0ms	449×	body	1024	unsamplable
181.0ms	292×	body	2048	unsamplable
151.0ms	758×	body	256	unsamplable
137.0ms	809×	body	256	valid
63.0ms	230×	body	512	unsamplable
19.0ms	13×	body	4096	valid
1.0ms	2×	body	2048	infinite

Bogosity

preprocess60.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1584×	`associate-*r/`
1444×	`associate-*l/`
1182×	`associate-/l/`
1144×	`distribute-lft-in`
782×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	220
1	143	220
2	311	220
3	798	220
4	3248	220
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 (.f64 eps (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 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 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 (.f64 eps (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 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 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 (expm1.f64 (.f64 a (+.f64 eps b))) (.f64 (expm1.f64 (.f64 a b)) (/.f64 (expm1.f64 (.f64 eps a)) a)))
(.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 b (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 a b)) (expm1.f64 (.f64 b (+.f64 eps a))))))
(.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)

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1724×	`times-frac`
1096×	`associate-/l*`
824×	`associate-r`
778×	`associate-l`
724×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	55
1	49	55
2	110	55
3	276	55
4	944	55
5	7287	55

Stop Event

1×	node limit

Counts

1 → 4

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 (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)))))

eval1.0ms (0%)

Compiler: Compiled 81 to 33 computations (59.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

33.8b

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.9b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
▶	37.3b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
▶	45.1b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Status

Error

Program

▶

33.9b

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

▶

37.3b

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

▶

45.1b

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

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.1b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	14.8b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	32.9b	(.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)

series57.0ms (0.3%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
31.0ms	a	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
3.0ms	a	@	0	(expm1.f64 (*.f64 eps (+.f64 a b)))
3.0ms	eps	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	a	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	eps	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`associate-/l*`
836×	`distribute-rgt-in`
778×	`distribute-lft-in`
346×	`associate-/r/`
338×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	148
1	328	148
2	4499	148

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

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

simplify162.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1572×	`associate-r`
1172×	`associate-l`
884×	`associate-/l*`
808×	`*-commutative`
754×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	648	18454
1	2075	18382

Stop Event

1×	node limit

Counts

278 → 333

Calls

Call 1

Inputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (.f64 1/24 (.f64 a (pow.f64 b 4))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) b)) (.f64 1/12 (.f64 (pow.f64 a 3) (pow.f64 b 2)))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)) (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (.f64 a b))))) (pow.f64 eps 3)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 1 a)
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 a)) (.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps)))))) a) (/.f64 1 a))) (.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (+.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps)))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps)))))) eps)))))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps)))))) a) (/.f64 1 a)))) (*.f64 1/2 eps))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 1 b)
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 b)) (.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 1/2 eps)))))) b) (/.f64 1 b))) (.f64 1/2 eps))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) (expm1.f64 (.f64 eps b))) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (*.f64 eps a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 2)) (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))))
(.f64 (/.f64 1 (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) (expm1.f64 (.f64 eps a))))) (cbrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (-.f64 (.f64 (pow.f64 (exp.f64 eps) b) (pow.f64 (exp.f64 eps) b)) 1)) (+.f64 1 (pow.f64 (exp.f64 eps) b)))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (-.f64 (pow.f64 (pow.f64 (exp.f64 eps) b) 3) 1)) (+.f64 (.f64 (pow.f64 (exp.f64 eps) b) (pow.f64 (exp.f64 eps) b)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 eps) b) 1))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (-.f64 (.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) a)) 1)) (+.f64 1 (pow.f64 (exp.f64 eps) a)))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (-.f64 (pow.f64 (pow.f64 (exp.f64 eps) a) 3) 1)) (+.f64 (.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) a)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 eps) a) 1))))
(pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3) 1/3)
(pow.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b))) -1)
(neg.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (neg.f64 (expm1.f64 (.f64 eps b))))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (.f64 eps (+.f64 a b))) 3) (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))
(exp.f64 (.f64 (log.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))
(+.f64 (.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) b)) (.f64 (expm1.f64 (.f64 eps a)) -1))
(+.f64 (.f64 (expm1.f64 (.f64 eps b)) (pow.f64 (exp.f64 eps) a)) (.f64 (expm1.f64 (.f64 eps b)) -1))
(+.f64 (.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 eps a))) (.f64 -1 (expm1.f64 (.f64 eps a))))
(+.f64 (.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps b))) (.f64 -1 (expm1.f64 (.f64 eps b))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 1)
(pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) 1)
(pow.f64 (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 2)
(pow.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 3)
(pow.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) 2))
(log.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
(cbrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) 3))
(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 eps a)) 3) (pow.f64 (expm1.f64 (*.f64 eps b)) 3)))
(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 eps b)) 3) (pow.f64 (expm1.f64 (*.f64 eps a)) 3)))
(expm1.f64 (log1p.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)))))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 1))
(log1p.f64 (expm1.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(+.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) -1)
(+.f64 -1 (pow.f64 (exp.f64 (+.f64 a b)) eps))
(+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 1) -1)
(-.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 1)
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) 1)
(.f64 1 (expm1.f64 (.f64 eps (+.f64 a b))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) (cbrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) (pow.f64 (exp.f64 (+.f64 a b)) eps)) 1) (+.f64 1 (pow.f64 (exp.f64 (+.f64 a b)) eps)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) (pow.f64 (exp.f64 (+.f64 a b)) eps)) (+.f64 1 (.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 1))))
(pow.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 eps (+.f64 a b))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))

Outputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps (-.f64 (/.f64 (.f64 1/2 (pow.f64 (+.f64 a b) 2)) (.f64 a b)) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 1/2 (/.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a b)) (.f64 a (*.f64 b b))))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 (.f64 a a) (.f64 b b)) 1/4))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))))))) (.f64 eps eps) (fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (-.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.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 1/4 a) a)))) (.f64 a a)))) (/.f64 (-.f64 (/.f64 (.f64 1/2 (pow.f64 (+.f64 a b) 2)) (.f64 a b)) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 1/2 (/.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a b)) (.f64 a (.f64 b b))))))) (/.f64 a (/.f64 1/2 (/.f64 b (+.f64 (.f64 a (.f64 a b)) (.f64 a (.f64 b b)))))))) (.f64 eps eps) (fma.f64 eps (-.f64 (/.f64 (.f64 1/2 (pow.f64 (+.f64 a b) 2)) (.f64 a b)) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 1/2 (/.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a b)) (.f64 a (.f64 b b))))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
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(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 b eps))))
(pow.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b))) -1)
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(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
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(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
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(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 1)
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) 1)
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(pow.f64 (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 2)
(pow.f64 (sqrt.f64 (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))) 2)
(pow.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 3)
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(pow.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) 3) 1/3)
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(sqrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) 2))
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(log.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
(.f64 (expm1.f64 (.f64 b eps)) (log.f64 (exp.f64 (expm1.f64 (*.f64 a eps)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(cbrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) 3))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 eps a)) 3) (pow.f64 (expm1.f64 (*.f64 eps b)) 3)))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 eps b)) 3) (pow.f64 (expm1.f64 (*.f64 eps a)) 3)))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(expm1.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(exp.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(log1p.f64 (expm1.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(+.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) -1)
(+.f64 -1 (pow.f64 (exp.f64 (+.f64 a b)) eps))
(+.f64 -1 (pow.f64 (exp.f64 (+.f64 a b)) eps))
(+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 1) -1)
(+.f64 -1 (pow.f64 (exp.f64 (+.f64 a b)) eps))
(-.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 1)
(+.f64 -1 (pow.f64 (exp.f64 (+.f64 a b)) eps))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(.f64 1 (expm1.f64 (.f64 eps (+.f64 a b))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))) 2))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) (cbrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) (pow.f64 (exp.f64 (+.f64 a b)) eps)) 1) (+.f64 1 (pow.f64 (exp.f64 (+.f64 a b)) eps)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 a b)) (*.f64 2 eps)) -1) (+.f64 1 (pow.f64 (exp.f64 (+.f64 a b)) eps)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (+.f64 a b)) (*.f64 eps 2))) (+.f64 1 (pow.f64 (exp.f64 (+.f64 a b)) eps)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) (pow.f64 (exp.f64 (+.f64 a b)) eps)) (+.f64 1 (.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 3) -1) (+.f64 (pow.f64 (exp.f64 (+.f64 a b)) (*.f64 2 eps)) (+.f64 1 (pow.f64 (exp.f64 (+.f64 a b)) eps))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) (+.f64 1 (pow.f64 (exp.f64 (+.f64 a b)) (*.f64 eps 2)))))
(pow.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))) 2)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))) 3)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 3) 1/3)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 eps (+.f64 a b))))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 3))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(exp.f64 (log.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 1))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(expm1.f64 (*.f64 (+.f64 a b) eps))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	5.5b	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
✓	16.1b	(/.f64 eps (expm1.f64 (*.f64 eps a)))
✓	25.3b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series17.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1886×	`associate-/l*`
652×	`associate-/r/`
524×	`associate-/l/`
346×	`add-sqr-sqrt`
344×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	105
1	334	105
2	4686	105

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Inputs

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

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

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

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

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simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-r`
1134×	`associate-l`
950×	`*-commutative`
820×	`associate-/l*`
698×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	669	14532
1	2208	14308

Stop Event

1×	node limit

Counts

242 → 300

Calls

Call 1

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

Outputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 (/.f64 1/2 (/.f64 a (+.f64 (.f64 a (.f64 a b)) (.f64 a (.f64 b b))))) a))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 1/4 (.f64 a a)) (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))))))) (.f64 eps eps) (fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (-.f64 (-.f64 (/.f64 (.f64 1/6 (pow.f64 (+.f64 a b) 3)) (.f64 a b)) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.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 1/4 a) a)))) (.f64 a a)))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 (/.f64 1/2 (/.f64 a (+.f64 (.f64 a (.f64 a b)) (.f64 a (.f64 b b))))) a))) (/.f64 a (/.f64 (.f64 1/2 (+.f64 (.f64 a (.f64 a b)) (.f64 a (.f64 b b)))) b)))) (.f64 eps eps) (fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 (/.f64 1/2 (/.f64 a (+.f64 (.f64 a (.f64 a b)) (.f64 a (*.f64 b b))))) a))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
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(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 b eps)))) (/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (sqrt.f64 (expm1.f64 (*.f64 b eps))))))
(/.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (sqrt.f64 (expm1.f64 (.f64 b eps)))) (sqrt.f64 (expm1.f64 (*.f64 b eps))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) 2)) (cbrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps b)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))) 2) (cbrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 b eps))) 2))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))) 2) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 b eps))) 2) (cbrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps))))))
(.f64 (/.f64 (sqrt.f64 eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) (sqrt.f64 eps))
(.f64 (/.f64 (sqrt.f64 eps) (expm1.f64 (.f64 a eps))) (/.f64 (sqrt.f64 eps) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 eps)) (expm1.f64 (.f64 a eps))) (expm1.f64 (*.f64 b eps)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) 2) (expm1.f64 (.f64 eps b))) (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (-.f64 (*.f64 (pow.f64 (exp.f64 b) eps) (pow.f64 (exp.f64 b) eps)) 1)) (+.f64 1 (pow.f64 (exp.f64 b) eps)))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (+.f64 (pow.f64 (exp.f64 b) (*.f64 2 eps)) -1)) (+.f64 1 (pow.f64 (exp.f64 b) eps)))
(.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (+.f64 -1 (pow.f64 (exp.f64 b) (.f64 eps 2))))) (+.f64 1 (pow.f64 (exp.f64 b) eps)))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (-.f64 (pow.f64 (pow.f64 (exp.f64 b) eps) 3) 1)) (+.f64 (+.f64 (.f64 (pow.f64 (exp.f64 b) eps) (pow.f64 (exp.f64 b) eps)) 1) (.f64 (pow.f64 (exp.f64 b) eps) 1)))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (+.f64 (pow.f64 (pow.f64 (exp.f64 b) eps) 3) -1)) (+.f64 (pow.f64 (exp.f64 b) (*.f64 2 eps)) (+.f64 1 (pow.f64 (exp.f64 b) eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 b) eps) 3)) (+.f64 (pow.f64 (exp.f64 b) eps) (+.f64 1 (pow.f64 (exp.f64 b) (.f64 eps 2))))))
(.f64 (/.f64 1 (/.f64 (expm1.f64 (.f64 eps b)) (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) 2))) (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) (cbrt.f64 eps))
(.f64 (/.f64 (cbrt.f64 eps) (expm1.f64 (.f64 a eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (expm1.f64 (.f64 a eps))) (/.f64 (expm1.f64 (.f64 b eps)) (cbrt.f64 eps)))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (expm1.f64 (*.f64 eps a))) eps)
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) 1) (/.f64 eps (expm1.f64 (*.f64 eps a))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (sqrt.f64 (expm1.f64 (.f64 eps a)))) (/.f64 eps (sqrt.f64 (expm1.f64 (.f64 eps a)))))
(.f64 (/.f64 eps (sqrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 1 (.f64 (sqrt.f64 (expm1.f64 (.f64 a eps))) (expm1.f64 (*.f64 b eps)))))
(/.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (sqrt.f64 (expm1.f64 (.f64 a eps)))) (sqrt.f64 (expm1.f64 (*.f64 a eps))))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (/.f64 eps (cbrt.f64 (expm1.f64 (.f64 eps a)))))
(.f64 (/.f64 eps (cbrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2) (expm1.f64 (*.f64 b eps)))))
(/.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)) (cbrt.f64 (expm1.f64 (*.f64 a eps))))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (neg.f64 (expm1.f64 (*.f64 eps a)))) (neg.f64 eps))
(.f64 (/.f64 (neg.f64 eps) (expm1.f64 (.f64 a eps))) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 b eps)))))
(/.f64 (neg.f64 eps) (.f64 (expm1.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (*.f64 eps a)) 1)) eps)
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (*.f64 eps a)) (sqrt.f64 eps))) (sqrt.f64 eps))
(.f64 (/.f64 (sqrt.f64 eps) (expm1.f64 (.f64 a eps))) (/.f64 (sqrt.f64 eps) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 eps)) (expm1.f64 (.f64 a eps))) (expm1.f64 (*.f64 b eps)))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (*.f64 eps a)) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps))
(.f64 (cbrt.f64 eps) (.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps))) (pow.f64 (cbrt.f64 eps) 2)))
(.f64 (cbrt.f64 eps) (/.f64 (.f64 (/.f64 (cbrt.f64 eps) (expm1.f64 (.f64 a eps))) (cbrt.f64 eps)) (expm1.f64 (.f64 b eps))))
(.f64 (/.f64 (.f64 eps (/.f64 1 (expm1.f64 (.f64 eps b)))) (-.f64 (.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) 1)) (+.f64 1 (pow.f64 (exp.f64 a) eps)))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) eps)) (/.f64 (/.f64 (.f64 eps 1) (expm1.f64 (.f64 b eps))) (+.f64 (pow.f64 (exp.f64 a) (.f64 2 eps)) -1)))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) eps)) (/.f64 (/.f64 eps (+.f64 -1 (pow.f64 (exp.f64 a) (.f64 eps 2)))) (expm1.f64 (*.f64 b eps))))
(.f64 (/.f64 (.f64 eps (/.f64 1 (expm1.f64 (.f64 eps b)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) 1)) (+.f64 (.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) eps) 1))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 2 eps)) (+.f64 1 (pow.f64 (exp.f64 a) eps))) (/.f64 (/.f64 (.f64 eps 1) (expm1.f64 (.f64 b eps))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) -1)))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) eps) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) (.f64 eps 2))))))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (-.f64 (*.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) 1)) (+.f64 1 (pow.f64 (exp.f64 a) eps)))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) eps)) (/.f64 (/.f64 (.f64 eps 1) (expm1.f64 (.f64 b eps))) (+.f64 (pow.f64 (exp.f64 a) (.f64 2 eps)) -1)))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) eps)) (/.f64 (/.f64 eps (+.f64 -1 (pow.f64 (exp.f64 a) (.f64 eps 2)))) (expm1.f64 (*.f64 b eps))))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (-.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) 1)) (+.f64 (.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) eps) 1))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 2 eps)) (+.f64 1 (pow.f64 (exp.f64 a) eps))) (/.f64 (/.f64 (.f64 eps 1) (expm1.f64 (.f64 b eps))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) -1)))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) eps) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) (.f64 eps 2))))))
(pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))) 1)
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))) 2)
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))) 3)
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(pow.f64 (pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))) 3) 1/3)
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(pow.f64 (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (*.f64 eps a)) eps)) -1)
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(neg.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (neg.f64 (expm1.f64 (.f64 eps b)))))
(.f64 (/.f64 (neg.f64 eps) (expm1.f64 (.f64 a eps))) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 b eps)))))
(/.f64 (neg.f64 eps) (.f64 (expm1.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (*.f64 b eps)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))) 3))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 3) (pow.f64 (expm1.f64 (.f64 eps b)) 3)))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(exp.f64 (log.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps b)))) 1))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	6.4b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
✓	15.6b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
	16.1b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series8.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite116.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`associate-/l*`
780×	`distribute-lft-in`
476×	`associate-/r/`
370×	`associate-/l/`
350×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	337	88
2	4784	88

Stop Event

1×	node limit

Counts

2 → 217

Calls

Call 1

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

Outputs

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

simplify176.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1388×	`associate-/r*`
1382×	`associate-/l*`
1318×	`associate-r`
1050×	`*-commutative`
1036×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	821	21653
1	2523	21641

Stop Event

1×	node limit

Counts

289 → 402

Calls

Call 1

Inputs
(/.f64 (+.f64 a b) b)
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (*.f64 1/2 (+.f64 a b)))) (+.f64 1 (/.f64 a b)))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (.f64 1/2 (+.f64 a b)))) (+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) b)) (+.f64 (.f64 1/6 (.f64 b (+.f64 a b))) (.f64 1/2 (.f64 b (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (*.f64 1/2 (+.f64 a b)))))))) (/.f64 a b))))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (.f64 1/2 (+.f64 a b)))) (+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) b)) (+.f64 (.f64 1/24 (.f64 (pow.f64 b 2) (+.f64 a b))) (+.f64 (.f64 1/2 (.f64 b (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) b)) (+.f64 (.f64 1/6 (.f64 b (+.f64 a b))) (.f64 1/2 (.f64 b (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (.f64 1/2 (+.f64 a b))))))))) (.f64 1/6 (.f64 (pow.f64 b 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (.f64 1/2 (+.f64 a b))))))))) (+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) b)) (+.f64 (.f64 1/6 (.f64 b (+.f64 a b))) (.f64 1/2 (.f64 b (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (.f64 1/2 (+.f64 a b)))))))) (/.f64 a b)))))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
1
(+.f64 1 (/.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(+.f64 1 (+.f64 (/.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b)))) (-.f64 (exp.f64 (*.f64 eps b)) 1)))))
(+.f64 1 (+.f64 (/.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (exp.f64 (.f64 eps b)))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b)))) (-.f64 (exp.f64 (.f64 eps b)) 1))))))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 eps b))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (.f64 eps b)) (exp.f64 (.f64 eps a))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 eps (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/6 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1))) (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1))))))) b) (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (.f64 eps b)) (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (.f64 eps (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/6 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1))) (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1))))))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 2) (-.f64 (exp.f64 (.f64 eps a)) 1))) (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (exp.f64 (.f64 eps a)) (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1)))))))) (pow.f64 b 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 eps (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/6 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1))) (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1))))))) b) (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (.f64 eps b)) (exp.f64 (.f64 eps a))))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (*.f64 eps b))))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (.f64 1/24 (.f64 a (pow.f64 b 4))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) b)) (.f64 1/12 (.f64 (pow.f64 a 3) (pow.f64 b 2)))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)) (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (.f64 a b))))) (pow.f64 eps 3)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 1 a)
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(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (expm1.f64 (.f64 eps b))))
(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (sqrt.f64 (expm1.f64 (.f64 eps b)))) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (sqrt.f64 (expm1.f64 (*.f64 eps b)))))
(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) 2)) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (cbrt.f64 (expm1.f64 (*.f64 eps b)))))
(/.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 eps b)))) (/.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (sqrt.f64 (expm1.f64 (.f64 eps b))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) 2)) (/.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (cbrt.f64 (expm1.f64 (.f64 eps b))))))
(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a))))) (sqrt.f64 (expm1.f64 (.f64 eps b))))
(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) 2) (/.f64 eps (expm1.f64 (.f64 eps a))))) (cbrt.f64 (expm1.f64 (.f64 eps b))))
(/.f64 (/.f64 eps (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) (sqrt.f64 (expm1.f64 (.f64 eps a))))
(/.f64 (/.f64 eps (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) (cbrt.f64 (expm1.f64 (.f64 eps a))))
(/.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 eps a)))) (/.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 eps (sqrt.f64 (expm1.f64 (.f64 eps a))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (/.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 eps (cbrt.f64 (expm1.f64 (.f64 eps a))))))
(/.f64 -1 (/.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (neg.f64 (expm1.f64 (.f64 eps a)))) eps))
(/.f64 -1 (/.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (neg.f64 (expm1.f64 (.f64 eps b)))) (expm1.f64 (.f64 eps (+.f64 a b)))))
(/.f64 -1 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (neg.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))))))
(/.f64 -1 (.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (neg.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (/.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (neg.f64 (expm1.f64 (.f64 eps b)))) (sqrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2)) (/.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (neg.f64 (expm1.f64 (.f64 eps b)))) (cbrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b))))))
(/.f64 (neg.f64 (sqrt.f64 eps)) (/.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (neg.f64 (expm1.f64 (.f64 eps a)))) (sqrt.f64 eps)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (neg.f64 (expm1.f64 (.f64 eps a)))) (cbrt.f64 eps)))
(/.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) (/.f64 (expm1.f64 (.f64 eps a)) (.f64 (sqrt.f64 eps) (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b)))))))
(/.f64 (.f64 (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (/.f64 (expm1.f64 (.f64 eps b)) (.f64 (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) (sqrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))))
(/.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))) (.f64 (sqrt.f64 eps) (sqrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) (pow.f64 (exp.f64 (+.f64 a b)) eps)) 1) (.f64 (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (*.f64 eps a)) eps)) (+.f64 1 (pow.f64 (exp.f64 (+.f64 a b)) eps))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) (pow.f64 (exp.f64 (+.f64 a b)) eps)) 1) (.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (expm1.f64 (*.f64 eps b))) (+.f64 1 (pow.f64 (exp.f64 (+.f64 a b)) eps))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 3) 1) (.f64 (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) eps)) (+.f64 (.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) (pow.f64 (exp.f64 (+.f64 a b)) eps)) (+.f64 1 (.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 3) 1) (.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (expm1.f64 (.f64 eps b))) (+.f64 (.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) (pow.f64 (exp.f64 (+.f64 a b)) eps)) (+.f64 1 (.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 1)))))
(/.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 (sqrt.f64 eps) (expm1.f64 (*.f64 eps a)))))
(/.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (/.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (expm1.f64 (.f64 eps a))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 (cbrt.f64 eps) (expm1.f64 (*.f64 eps a)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (expm1.f64 (.f64 eps a)))) (/.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (expm1.f64 (.f64 eps a))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (/.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a))))))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 1) (/.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b)))))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) 2)) (/.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (cbrt.f64 (expm1.f64 (*.f64 eps b))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) 1) (/.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) (sqrt.f64 (expm1.f64 (.f64 eps b)))) (/.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (expm1.f64 (*.f64 eps b))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) 2)) (/.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))))
(/.f64 (.f64 (neg.f64 eps) 1) (.f64 (neg.f64 (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps (+.f64 a b))))))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (neg.f64 eps)) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) eps) (.f64 (neg.f64 (expm1.f64 (.f64 eps b))) (expm1.f64 (*.f64 eps a))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 1) (.f64 (neg.f64 (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (*.f64 eps a)) eps)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (neg.f64 eps)) (.f64 (neg.f64 (expm1.f64 (.f64 eps b))) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 (neg.f64 eps) (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (neg.f64 (expm1.f64 (.f64 eps a))) (neg.f64 (expm1.f64 (*.f64 eps b)))))
(/.f64 (neg.f64 (neg.f64 eps)) (.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (neg.f64 (neg.f64 (expm1.f64 (.f64 eps a))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (neg.f64 (neg.f64 (expm1.f64 (.f64 eps b))))))
(/.f64 (neg.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a)))) (neg.f64 (expm1.f64 (.f64 eps b))))
(/.f64 (neg.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) (neg.f64 (expm1.f64 (.f64 eps a))))
(/.f64 (neg.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))) (neg.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))))
(pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 2))
(log.f64 (exp.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 3) (pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 3) (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(exp.f64 (log.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))

Outputs
(/.f64 (+.f64 a b) b)
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (*.f64 1/2 (+.f64 a b)))) (+.f64 1 (/.f64 a b)))
(fma.f64 eps (*.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b))) (+.f64 1 (/.f64 a b)))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (.f64 1/2 (+.f64 a b)))) (+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) b)) (+.f64 (.f64 1/6 (.f64 b (+.f64 a b))) (.f64 1/2 (.f64 b (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (*.f64 1/2 (+.f64 a b)))))))) (/.f64 a b))))
(fma.f64 eps (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b))) (+.f64 1 (fma.f64 (.f64 eps eps) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) b)) (fma.f64 1/6 (.f64 b (+.f64 a b)) (.f64 1/2 (.f64 b (*.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b))))))) (/.f64 a b))))
(fma.f64 eps (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b))) (+.f64 1 (fma.f64 (.f64 eps eps) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) b)) (fma.f64 1/6 (.f64 b (+.f64 a b)) (.f64 (.f64 (*.f64 b 1/2) 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b))))) (/.f64 a b))))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (.f64 1/2 (+.f64 a b)))) (+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) b)) (+.f64 (.f64 1/24 (.f64 (pow.f64 b 2) (+.f64 a b))) (+.f64 (.f64 1/2 (.f64 b (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) b)) (+.f64 (.f64 1/6 (.f64 b (+.f64 a b))) (.f64 1/2 (.f64 b (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (.f64 1/2 (+.f64 a b))))))))) (.f64 1/6 (.f64 (pow.f64 b 2) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (.f64 1/2 (+.f64 a b))))))))) (+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) b)) (+.f64 (.f64 1/6 (.f64 b (+.f64 a b))) (.f64 1/2 (.f64 b (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) b)) (.f64 1/2 (+.f64 a b)))))))) (/.f64 a b)))))
(fma.f64 eps (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b))) (fma.f64 (pow.f64 eps 3) (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) b)) (fma.f64 1/24 (.f64 (+.f64 a b) (.f64 b b)) (fma.f64 1/2 (.f64 b (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) b)) (fma.f64 1/6 (.f64 b (+.f64 a b)) (.f64 1/2 (.f64 b (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b)))))))) (.f64 1/6 (.f64 (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b))) (.f64 b b)))))) (+.f64 1 (fma.f64 (.f64 eps eps) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) b)) (fma.f64 1/6 (.f64 b (+.f64 a b)) (.f64 1/2 (.f64 b (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b))))))) (/.f64 a b)))))
(fma.f64 eps (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b))) (fma.f64 (pow.f64 eps 3) (-.f64 (/.f64 (.f64 1/24 (pow.f64 (+.f64 a b) 4)) b) (fma.f64 1/24 (.f64 (+.f64 a b) (.f64 b b)) (fma.f64 1/2 (.f64 b (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) b)) (fma.f64 1/6 (.f64 b (+.f64 a b)) (.f64 (.f64 (.f64 b 1/2) 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b)))))) (.f64 (.f64 (.f64 1/6 (.f64 b b)) 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b)))))) (+.f64 1 (fma.f64 (.f64 eps eps) (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) b)) (fma.f64 1/6 (.f64 b (+.f64 a b)) (.f64 (.f64 (.f64 b 1/2) 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b))))) (/.f64 a b)))))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
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(cbrt.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 3) (pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 3)))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a eps))))
(.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 3) (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 3)))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a eps))))
(.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(expm1.f64 (log1p.f64 (.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 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a eps))))
(.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(exp.f64 (log.f64 (.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 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a eps))))
(.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))) 1))
(.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a eps))))
(.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(log1p.f64 (expm1.f64 (.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 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) (/.f64 eps (expm1.f64 (.f64 a eps))))
(.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))

eval535.0ms (3.2%)

Compiler: Compiled 46038 to 13859 computations (69.9% saved)

prune409.0ms (2.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1232	9	1241
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1235	9	1244

Error

0.3b

Counts

1244 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.9b	(/.f64 (+.f64 a b) (*.f64 a b))
	30.2b	(/.f64 1 b)
▶	35.6b	(/.f64 1 a)
	25.7b	(+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (-.f64 (/.f64 1 a) (.f64 eps 1/2)))
▶	30.4b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
	46.7b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
▶	50.8b	(*.f64 eps (/.f64 (/.f64 1 eps) b))
▶	38.3b	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) (-.f64 (/.f64 1 (.f64 a eps)) 1/2)))
	38.1b	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 1 (.f64 b eps)) 1/2)))

Compiler

Compiled 248 to 164 computations (33.9% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.2b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`add-sqr-sqrt`
1940×	`*-un-lft-identity`
1822×	`add-cube-cbrt`
1798×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	156	19
2	2349	19

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1740×	`associate-+r+`
1578×	`associate-+l+`
1296×	`associate-*r/`
970×	`associate-*l/`
642×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	1289
1	270	1265
2	1090	1265
3	6304	1265

Stop Event

1×	node limit

Counts

63 → 49

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 (exp.f64 (log1p.f64 (/.f64 (+.f64 a b) (*.f64 a b)))) 1)
(.f64 (+.f64 a b) (/.f64 1 (.f64 a b)))
(.f64 (/.f64 (+.f64 a b) (.f64 a b)) 1)
(.f64 1 (/.f64 (+.f64 a b) (.f64 a b)))
(.f64 (sqrt.f64 (+.f64 a b)) (.f64 (sqrt.f64 (+.f64 a b)) (/.f64 1 (*.f64 a b))))
(.f64 (sqrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) (sqrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (.f64 (cbrt.f64 (+.f64 a b)) (/.f64 1 (*.f64 a b))))
(.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) 2) (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))
(.f64 (/.f64 1 (.f64 a b)) (+.f64 a b))
(.f64 (neg.f64 (+.f64 a b)) (/.f64 1 (.f64 a (neg.f64 b))))
(*.f64 (/.f64 1 a) (/.f64 (+.f64 a b) b))
(*.f64 (/.f64 1 b) (/.f64 (+.f64 a b) a))
(.f64 (/.f64 1 (sqrt.f64 (.f64 a b))) (/.f64 (+.f64 a b) (sqrt.f64 (*.f64 a b))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (/.f64 (+.f64 a b) (cbrt.f64 (*.f64 a b))))
(.f64 (/.f64 (sqrt.f64 (+.f64 a b)) 1) (/.f64 (sqrt.f64 (+.f64 a b)) (.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) a) (/.f64 (sqrt.f64 (+.f64 a b)) b))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 1) (/.f64 (cbrt.f64 (+.f64 a b)) (.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) b) (/.f64 (sqrt.f64 (+.f64 a b)) a))
(.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))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) a) (/.f64 (cbrt.f64 (+.f64 a b)) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) b) (/.f64 (cbrt.f64 (+.f64 a b)) a))
(.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))))
(.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))))
(pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) 3) 1/3)
(pow.f64 (/.f64 a (/.f64 (+.f64 a b) b)) -1)
(neg.f64 (/.f64 (+.f64 a b) (*.f64 a (neg.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 a b) (*.f64 a b)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(exp.f64 (log.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 a b) (.f64 a b))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) (*.f64 a b))))

Outputs
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 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))
(/.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 (/.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 (exp.f64 (log1p.f64 (/.f64 (+.f64 a b) (*.f64 a b)))) 1)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 (+.f64 a b) (/.f64 1 (.f64 a b)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 (/.f64 (+.f64 a b) (.f64 a b)) 1)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 1 (/.f64 (+.f64 a b) (.f64 a b)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 (sqrt.f64 (+.f64 a b)) (.f64 (sqrt.f64 (+.f64 a b)) (/.f64 1 (*.f64 a b))))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 (sqrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) (sqrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (.f64 (cbrt.f64 (+.f64 a b)) (/.f64 1 (*.f64 a b))))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))) 2))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) 2) (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 (/.f64 1 (.f64 a b)) (+.f64 a b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 (neg.f64 (+.f64 a b)) (/.f64 1 (.f64 a (neg.f64 b))))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(*.f64 (/.f64 1 a) (/.f64 (+.f64 a b) b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(*.f64 (/.f64 1 b) (/.f64 (+.f64 a b) a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 (/.f64 1 (sqrt.f64 (.f64 a b))) (/.f64 (+.f64 a b) (sqrt.f64 (*.f64 a b))))
(/.f64 (/.f64 (+.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (sqrt.f64 (.f64 a b)) (sqrt.f64 (*.f64 a b))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (/.f64 (+.f64 a b) (cbrt.f64 (*.f64 a b))))
(/.f64 (/.f64 (+.f64 a b) (cbrt.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(/.f64 (+.f64 a b) (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (*.f64 a b))))
(.f64 (/.f64 (sqrt.f64 (+.f64 a b)) 1) (/.f64 (sqrt.f64 (+.f64 a b)) (.f64 a b)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) a) (/.f64 (sqrt.f64 (+.f64 a b)) b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 1) (/.f64 (cbrt.f64 (+.f64 a b)) (.f64 a b)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) b) (/.f64 (sqrt.f64 (+.f64 a b)) a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.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))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (/.f64 (+.f64 a b) (cbrt.f64 (*.f64 a b))))
(/.f64 (/.f64 (+.f64 a b) (cbrt.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(/.f64 (+.f64 a b) (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (*.f64 a b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) a) (/.f64 (cbrt.f64 (+.f64 a b)) b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) b) (/.f64 (cbrt.f64 (+.f64 a b)) a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.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))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 a b))) (/.f64 (+.f64 a b) (sqrt.f64 (*.f64 a b))))
(/.f64 (/.f64 (+.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (sqrt.f64 (.f64 a b)) (sqrt.f64 (*.f64 a b))))
(.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))))
(.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(/.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)))
(pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) 1)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))) 2)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))) 3)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(pow.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) 3) 1/3)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(pow.f64 (/.f64 a (/.f64 (+.f64 a b) b)) -1)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(neg.f64 (/.f64 (+.f64 a b) (*.f64 a (neg.f64 b))))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) 2))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(log.f64 (exp.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 a b) (*.f64 a b)))))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) 3))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(exp.f64 (log.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 a b) (.f64 a b))) 1))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 eps) b)
✓	22.7b	(*.f64 eps (/.f64 (/.f64 1 eps) b))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`add-sqr-sqrt`
1638×	`*-un-lft-identity`
1526×	`add-cube-cbrt`
1500×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	167	20
2	2188	20

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1578×	`associate-*r/`
1362×	`times-frac`
1038×	`associate-/l*`
1024×	`associate-+r+`
1020×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1255
1	330	1201
2	1124	1177
3	7862	1177

Stop Event

1×	node limit

Counts

103 → 70

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)
(/.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)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 eps b))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b)))) 1)
(/.f64 eps (*.f64 eps b))
(/.f64 1 b)
(/.f64 1 (/.f64 b 1))
(/.f64 (/.f64 1 (sqrt.f64 b)) (sqrt.f64 b))
(/.f64 -1 (neg.f64 b))
(/.f64 (*.f64 eps (/.f64 -1 eps)) (neg.f64 b))
(/.f64 (*.f64 (/.f64 -1 eps) eps) (neg.f64 b))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(pow.f64 b -1)
(pow.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b)) 1)
(pow.f64 (/.f64 1 (sqrt.f64 b)) 2)
(pow.f64 (/.f64 1 (cbrt.f64 b)) 3)
(pow.f64 (pow.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b)) 3) 1/3)
(sqrt.f64 (/.f64 1 (*.f64 b b)))
(log.f64 (exp.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b)))))
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b))))
(exp.f64 (-.f64 0 (log.f64 b)))
(exp.f64 (neg.f64 (log.f64 b)))
(exp.f64 (*.f64 (-.f64 0 (log.f64 b)) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 eps) b))) 1)
(*.f64 1 (/.f64 (/.f64 1 eps) b))
(*.f64 (/.f64 1 eps) (/.f64 1 b))
(*.f64 (/.f64 (/.f64 1 eps) b) 1)
(*.f64 (/.f64 1 b) (/.f64 1 eps))
(*.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (/.f64 1 eps) (sqrt.f64 b)))
(.f64 (pow.f64 eps -1/2) (.f64 (pow.f64 eps -1/2) (/.f64 1 b)))
(*.f64 (/.f64 (pow.f64 eps -1/2) (sqrt.f64 b)) (/.f64 (pow.f64 eps -1/2) (sqrt.f64 b)))
(.f64 (cbrt.f64 (pow.f64 eps -2)) (.f64 (/.f64 1 (cbrt.f64 eps)) (/.f64 1 b)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 eps b))) (cbrt.f64 (/.f64 (pow.f64 eps -2) (*.f64 b b))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 eps -2) (.f64 b b))) (/.f64 1 (cbrt.f64 (*.f64 eps b))))
(*.f64 (/.f64 -1 eps) (/.f64 1 (neg.f64 b)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 1 eps) (cbrt.f64 b)))
(*.f64 (/.f64 (pow.f64 eps -1/2) 1) (/.f64 (pow.f64 eps -1/2) b))
(*.f64 (/.f64 (pow.f64 eps -1/2) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (pow.f64 eps -1/2) (cbrt.f64 b)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 eps)) b))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps -2)) (sqrt.f64 b)) (/.f64 (/.f64 1 (cbrt.f64 eps)) (sqrt.f64 b)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 1 (cbrt.f64 (.f64 eps b))))
(pow.f64 (/.f64 (/.f64 1 eps) b) 1)
(pow.f64 (/.f64 (pow.f64 eps -1/2) (sqrt.f64 b)) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 eps b))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 eps) b) 3) 1/3)
(pow.f64 (*.f64 eps b) -1)
(neg.f64 (/.f64 (/.f64 1 eps) (neg.f64 b)))
(sqrt.f64 (/.f64 (pow.f64 eps -2) (*.f64 b b)))
(log.f64 (exp.f64 (/.f64 (/.f64 1 eps) b)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 eps) b))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 eps) b) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 eps) b)))
(exp.f64 (neg.f64 (log.f64 (*.f64 eps b))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 eps b))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 eps) 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)
(/.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)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 eps b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b)))) 1)
(/.f64 1 b)
(/.f64 eps (*.f64 eps b))
(/.f64 1 b)
(/.f64 1 b)
(/.f64 1 (/.f64 b 1))
(/.f64 1 b)
(/.f64 (/.f64 1 (sqrt.f64 b)) (sqrt.f64 b))
(/.f64 1 b)
(/.f64 -1 (neg.f64 b))
(/.f64 1 b)
(/.f64 (*.f64 eps (/.f64 -1 eps)) (neg.f64 b))
(/.f64 1 b)
(/.f64 (*.f64 (/.f64 -1 eps) eps) (neg.f64 b))
(/.f64 1 b)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(/.f64 1 b)
(pow.f64 b -1)
(/.f64 1 b)
(pow.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b)) 1)
(/.f64 1 b)
(pow.f64 (/.f64 1 (sqrt.f64 b)) 2)
(/.f64 1 b)
(pow.f64 (/.f64 1 (cbrt.f64 b)) 3)
(/.f64 1 b)
(pow.f64 (pow.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b)) 3) 1/3)
(/.f64 1 b)
(sqrt.f64 (/.f64 1 (*.f64 b b)))
(sqrt.f64 (/.f64 (/.f64 1 b) b))
(sqrt.f64 (pow.f64 b -2))
(log.f64 (exp.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b))))
(/.f64 1 b)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b)))))
(/.f64 1 b)
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b)) 3))
(/.f64 1 b)
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b))))
(/.f64 1 b)
(exp.f64 (-.f64 0 (log.f64 b)))
(/.f64 1 b)
(exp.f64 (neg.f64 (log.f64 b)))
(/.f64 1 b)
(exp.f64 (*.f64 (-.f64 0 (log.f64 b)) 1))
(/.f64 1 b)
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 (/.f64 1 eps) b))))
(/.f64 1 b)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 eps) b))) 1)
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(*.f64 1 (/.f64 (/.f64 1 eps) b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(*.f64 (/.f64 1 eps) (/.f64 1 b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(*.f64 (/.f64 (/.f64 1 eps) b) 1)
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(*.f64 (/.f64 1 b) (/.f64 1 eps))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(*.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (/.f64 1 eps) (sqrt.f64 b)))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(.f64 (pow.f64 eps -1/2) (.f64 (pow.f64 eps -1/2) (/.f64 1 b)))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(*.f64 (/.f64 (pow.f64 eps -1/2) (sqrt.f64 b)) (/.f64 (pow.f64 eps -1/2) (sqrt.f64 b)))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(.f64 (cbrt.f64 (pow.f64 eps -2)) (.f64 (/.f64 1 (cbrt.f64 eps)) (/.f64 1 b)))
(.f64 (cbrt.f64 (pow.f64 eps -2)) (.f64 (/.f64 1 b) (/.f64 1 (cbrt.f64 eps))))
(*.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 (/.f64 1 b) (cbrt.f64 eps)))
(/.f64 (cbrt.f64 (pow.f64 eps -2)) (*.f64 b (cbrt.f64 eps)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 eps b))) (cbrt.f64 (/.f64 (pow.f64 eps -2) (*.f64 b b))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 b eps))) (cbrt.f64 (/.f64 (pow.f64 eps -2) (*.f64 b b))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 b eps) -2)) (cbrt.f64 (.f64 b eps)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 eps -2) (.f64 b b))) (/.f64 1 (cbrt.f64 (*.f64 eps b))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 b eps))) (cbrt.f64 (/.f64 (pow.f64 eps -2) (*.f64 b b))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 b eps) -2)) (cbrt.f64 (.f64 b eps)))
(*.f64 (/.f64 -1 eps) (/.f64 1 (neg.f64 b)))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 1 eps) (cbrt.f64 b)))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(*.f64 (/.f64 (pow.f64 eps -1/2) 1) (/.f64 (pow.f64 eps -1/2) b))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(*.f64 (/.f64 (pow.f64 eps -1/2) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (pow.f64 eps -1/2) (cbrt.f64 b)))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 eps)) b))
(.f64 (cbrt.f64 (pow.f64 eps -2)) (.f64 (/.f64 1 b) (/.f64 1 (cbrt.f64 eps))))
(*.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 (/.f64 1 b) (cbrt.f64 eps)))
(/.f64 (cbrt.f64 (pow.f64 eps -2)) (*.f64 b (cbrt.f64 eps)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps -2)) (sqrt.f64 b)) (/.f64 (/.f64 1 (cbrt.f64 eps)) (sqrt.f64 b)))
(.f64 (cbrt.f64 (pow.f64 eps -2)) (.f64 (/.f64 1 b) (/.f64 1 (cbrt.f64 eps))))
(*.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 (/.f64 1 b) (cbrt.f64 eps)))
(/.f64 (cbrt.f64 (pow.f64 eps -2)) (*.f64 b (cbrt.f64 eps)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 1 (cbrt.f64 (.f64 eps b))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 b eps))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 b) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 b eps)))
(/.f64 (cbrt.f64 (pow.f64 eps -2)) (.f64 (cbrt.f64 (.f64 b eps)) (pow.f64 (cbrt.f64 b) 2)))
(pow.f64 (/.f64 (/.f64 1 eps) b) 1)
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(pow.f64 (/.f64 (pow.f64 eps -1/2) (sqrt.f64 b)) 2)
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 eps b))) 3)
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 eps) b) 3) 1/3)
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(pow.f64 (*.f64 eps b) -1)
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(neg.f64 (/.f64 (/.f64 1 eps) (neg.f64 b)))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(sqrt.f64 (/.f64 (pow.f64 eps -2) (*.f64 b b)))
(sqrt.f64 (pow.f64 (*.f64 b eps) -2))
(fabs.f64 (/.f64 (/.f64 1 eps) b))
(log.f64 (exp.f64 (/.f64 (/.f64 1 eps) b)))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 eps) b))))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 eps) b) 3))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 eps) b)))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(exp.f64 (neg.f64 (log.f64 (*.f64 eps b))))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 eps b))) 1))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 eps) b)))
(/.f64 1 (*.f64 b eps))
(/.f64 (/.f64 1 eps) b)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps a))
✓	0.0b	(/.f64 (+.f64 a b) b)
✓	6.6b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
	16.1b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 39 to 9 computations (76.9% saved)

series14.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`distribute-rgt-in`
790×	`distribute-lft-in`
672×	`associate-/l/`
612×	`associate-/r/`
434×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	262	59
2	3890	59

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

Outputs

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

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1638×	`times-frac`
1066×	`associate-l`
1014×	`associate-r`
934×	`associate-/l*`
862×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	504	8907
1	1574	8609

Stop Event

1×	node limit

Counts

249 → 265

Calls

Call 1

Inputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) b)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 (/.f64 (.f64 a (+.f64 a b)) b)) (.f64 -1/4 (/.f64 (.f64 a (+.f64 a b)) b))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) b)) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 (/.f64 (.f64 a (+.f64 a b)) b)) (.f64 -1/4 (/.f64 (.f64 a (+.f64 a b)) b))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/2 (.f64 a (+.f64 (.f64 1/6 (/.f64 (.f64 a (+.f64 a b)) b)) (.f64 -1/4 (/.f64 (.f64 a (+.f64 a b)) b))))) (+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 a 2) (+.f64 a b)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) (+.f64 a b)) b)))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(/.f64 1 a)
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 eps (-.f64 (/.f64 1 b) (.f64 1/2 eps)))) (.f64 1/6 (pow.f64 eps 2))) a)) (+.f64 (/.f64 1 b) (/.f64 1 a))) (*.f64 1/2 eps))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 eps (-.f64 (/.f64 1 b) (.f64 1/2 eps)))) (.f64 1/6 (pow.f64 eps 2))) a)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (.f64 eps (-.f64 (/.f64 1 b) (.f64 1/2 eps)))) (.f64 1/6 (pow.f64 eps 2))) eps)) (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 1 b) (.f64 1/2 eps)))))))) (+.f64 (/.f64 1 b) (/.f64 1 a)))) (*.f64 1/2 eps))
(/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
(+.f64 (/.f64 (.f64 eps a) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) b)) (/.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1)))
1
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(/.f64 a b)
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(/.f64 a b)
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(/.f64 a b)
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
1
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
1
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(+.f64 1 (/.f64 a b))
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b)))) 1)
(/.f64 eps (.f64 (/.f64 (expm1.f64 (.f64 eps a)) (+.f64 a b)) b))
(/.f64 eps (/.f64 (.f64 (expm1.f64 (.f64 eps a)) b) (+.f64 a b)))
(/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (/.f64 b (+.f64 a b))))
(/.f64 eps (.f64 (/.f64 b (+.f64 a b)) (expm1.f64 (.f64 eps a))))
(/.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (/.f64 b (+.f64 a b)))
(/.f64 (+.f64 a b) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) b))
(/.f64 (+.f64 a b) (.f64 b (/.f64 (expm1.f64 (.f64 eps a)) eps)))
(/.f64 (/.f64 (+.f64 a b) b) (/.f64 (expm1.f64 (*.f64 eps a)) eps))
(/.f64 1 (.f64 (/.f64 b (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))))
(/.f64 1 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (/.f64 b (+.f64 a b))))
(/.f64 1 (/.f64 (.f64 (expm1.f64 (.f64 eps a)) b) (*.f64 eps (+.f64 a b))))
(/.f64 1 (.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) b) (/.f64 (-.f64 a b) (-.f64 (.f64 a a) (*.f64 b b)))))
(/.f64 1 (.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) b) (/.f64 (fma.f64 a a (.f64 b (-.f64 b a))) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(/.f64 1 (.f64 (.f64 b (/.f64 (expm1.f64 (.f64 eps a)) eps)) (/.f64 (-.f64 a b) (-.f64 (.f64 a a) (*.f64 b b)))))
(/.f64 1 (.f64 (.f64 b (/.f64 (expm1.f64 (.f64 eps a)) eps)) (/.f64 (fma.f64 a a (.f64 b (-.f64 b a))) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(/.f64 (sqrt.f64 eps) (.f64 (/.f64 b (+.f64 a b)) (/.f64 (expm1.f64 (.f64 eps a)) (sqrt.f64 eps))))
(/.f64 (sqrt.f64 (+.f64 a b)) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (/.f64 b (sqrt.f64 (+.f64 a b)))))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (/.f64 b (+.f64 a b)) (/.f64 (expm1.f64 (.f64 eps a)) (cbrt.f64 eps))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (/.f64 b (cbrt.f64 (+.f64 a b)))))
(/.f64 (/.f64 (.f64 eps (+.f64 a b)) (expm1.f64 (.f64 eps a))) b)
(/.f64 (.f64 (/.f64 eps b) (+.f64 a b)) (expm1.f64 (.f64 eps a)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 (/.f64 (expm1.f64 (*.f64 eps a)) eps) b) (-.f64 a b)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 b (/.f64 (expm1.f64 (*.f64 eps a)) eps)) (-.f64 a b)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (*.f64 b (-.f64 a b))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 b (.f64 (/.f64 (expm1.f64 (*.f64 eps a)) eps) (-.f64 a b))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) b) (fma.f64 a a (.f64 b (-.f64 b a)))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 (.f64 b (/.f64 (expm1.f64 (.f64 eps a)) eps)) (fma.f64 a a (.f64 b (-.f64 b a)))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (.f64 b (fma.f64 a a (.f64 b (-.f64 b a))))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 b (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (fma.f64 a a (.f64 b (-.f64 b a))))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (expm1.f64 (*.f64 eps a)) b))
(/.f64 (neg.f64 (+.f64 a b)) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (neg.f64 b)))
(/.f64 (neg.f64 (+.f64 a b)) (.f64 (neg.f64 b) (/.f64 (expm1.f64 (.f64 eps a)) eps)))
(/.f64 (neg.f64 eps) (.f64 (neg.f64 (expm1.f64 (.f64 eps a))) (/.f64 b (+.f64 a b))))
(/.f64 (neg.f64 eps) (.f64 (/.f64 b (+.f64 a b)) (neg.f64 (expm1.f64 (.f64 eps a)))))
(/.f64 (.f64 eps (-.f64 (.f64 a a) (.f64 b b))) (.f64 b (.f64 (expm1.f64 (.f64 eps a)) (-.f64 a b))))
(/.f64 (.f64 eps (-.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 (expm1.f64 (.f64 eps a)) b) (-.f64 a b)))
(/.f64 (.f64 eps (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 b (.f64 (expm1.f64 (.f64 eps a)) (fma.f64 a a (*.f64 b (-.f64 b a))))))
(/.f64 (.f64 eps (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (.f64 (expm1.f64 (.f64 eps a)) b) (fma.f64 a a (*.f64 b (-.f64 b a)))))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (-.f64 (.f64 a a) (.f64 b b))) (*.f64 b (-.f64 a b)))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 b (fma.f64 a a (.f64 b (-.f64 b a)))))
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (pow.f64 b -1)) (.f64 (/.f64 (expm1.f64 (*.f64 eps a)) eps) (-.f64 a b)))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (pow.f64 b -1)) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (fma.f64 a a (.f64 b (-.f64 b a)))))
(/.f64 (.f64 eps (neg.f64 (+.f64 a b))) (.f64 (expm1.f64 (*.f64 eps a)) (neg.f64 b)))
(/.f64 (/.f64 (+.f64 a b) (sqrt.f64 b)) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (sqrt.f64 b)))
(/.f64 (/.f64 (+.f64 a b) (pow.f64 (cbrt.f64 b) 2)) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (cbrt.f64 b)))
(/.f64 (/.f64 eps 1) (.f64 (/.f64 b (+.f64 a b)) (expm1.f64 (.f64 eps a))))
(/.f64 (/.f64 eps (sqrt.f64 (expm1.f64 (.f64 eps a)))) (.f64 (/.f64 b (+.f64 a b)) (sqrt.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (.f64 (/.f64 b (+.f64 a b)) (cbrt.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (/.f64 (/.f64 (.f64 eps (+.f64 a b)) (expm1.f64 (.f64 eps a))) (sqrt.f64 b)) (sqrt.f64 b))
(/.f64 (/.f64 (/.f64 (.f64 eps (+.f64 a b)) (expm1.f64 (.f64 eps a))) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(/.f64 (/.f64 (.f64 (/.f64 eps b) (+.f64 a b)) (sqrt.f64 (expm1.f64 (.f64 eps a)))) (sqrt.f64 (expm1.f64 (*.f64 eps a))))
(/.f64 (/.f64 eps (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2) (/.f64 b (+.f64 a b)))) (cbrt.f64 (expm1.f64 (*.f64 eps a))))
(/.f64 -1 (.f64 (/.f64 b (+.f64 a b)) (neg.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps))))
(/.f64 -1 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (neg.f64 (/.f64 b (+.f64 a b)))))
(/.f64 (.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) b) (neg.f64 (-.f64 a b))))
(/.f64 (.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (.f64 (.f64 b (/.f64 (expm1.f64 (.f64 eps a)) eps)) (neg.f64 (-.f64 a b))))
(/.f64 (.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (neg.f64 b)) (-.f64 a b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) b) (neg.f64 (fma.f64 a a (.f64 b (-.f64 b a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (.f64 b (/.f64 (expm1.f64 (.f64 eps a)) eps)) (neg.f64 (fma.f64 a a (.f64 b (-.f64 b a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (neg.f64 b)) (fma.f64 a a (.f64 b (-.f64 b a)))))
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 (/.f64 (expm1.f64 (*.f64 eps a)) eps) b) (-.f64 b a)))
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 b (/.f64 (expm1.f64 (*.f64 eps a)) eps)) (-.f64 b a)))
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 1) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (.f64 (-.f64 a b) b)))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) 1) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) (.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) b)))
(/.f64 (.f64 (neg.f64 eps) (-.f64 (.f64 a a) (.f64 b b))) (.f64 b (.f64 (neg.f64 (expm1.f64 (.f64 eps a))) (-.f64 a b))))
(/.f64 (.f64 (neg.f64 eps) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 b (.f64 (neg.f64 (expm1.f64 (.f64 eps a))) (fma.f64 a a (*.f64 b (-.f64 b a))))))
(/.f64 (.f64 (neg.f64 eps) (neg.f64 (+.f64 a b))) (.f64 (neg.f64 (expm1.f64 (*.f64 eps a))) (neg.f64 b)))
(/.f64 (.f64 (neg.f64 (+.f64 a b)) (neg.f64 eps)) (.f64 (neg.f64 b) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (neg.f64 (/.f64 (.f64 eps (+.f64 a b)) (expm1.f64 (.f64 eps a)))) (neg.f64 b))
(/.f64 (.f64 (/.f64 (+.f64 a b) b) (neg.f64 eps)) (neg.f64 (expm1.f64 (.f64 eps a))))
(pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b)) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b)) 2))
(log.f64 (exp.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 3) (pow.f64 (/.f64 (+.f64 a b) b) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 a b) b) 3) (pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))))
(exp.f64 (log.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (/.f64 (+.f64 a b) b))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))))
(+.f64 (.f64 (pow.f64 b -1) a) (.f64 (pow.f64 b -1) b))
(+.f64 (.f64 (pow.f64 b -1) b) (.f64 (pow.f64 b -1) a))
(+.f64 (.f64 a (pow.f64 b -1)) (.f64 b (pow.f64 b -1)))
(+.f64 (.f64 b (pow.f64 b -1)) (.f64 a (pow.f64 b -1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a b) b))) 1)
(*.f64 (+.f64 a b) (pow.f64 b -1))
(*.f64 (/.f64 (+.f64 a b) b) 1)
(*.f64 1 (/.f64 (+.f64 a b) b))
(*.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) (sqrt.f64 (/.f64 (+.f64 a b) b)))
(.f64 (sqrt.f64 (+.f64 a b)) (.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 b -1)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) 2) (cbrt.f64 (/.f64 (+.f64 a b) b)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (.f64 (cbrt.f64 (+.f64 a b)) (pow.f64 b -1)))
(*.f64 (pow.f64 b -1) (+.f64 a b))
(*.f64 (neg.f64 (+.f64 a b)) (/.f64 1 (neg.f64 b)))
(*.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (+.f64 a b) (sqrt.f64 b)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (+.f64 a b) (cbrt.f64 b)))
(*.f64 (/.f64 1 (neg.f64 b)) (neg.f64 (+.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) 1) (/.f64 (sqrt.f64 (+.f64 a b)) b))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) b) (sqrt.f64 (+.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (+.f64 a b)) (cbrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 1) (/.f64 (cbrt.f64 (+.f64 a b)) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (+.f64 a b)) (sqrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 (+.f64 a b) b)))
(*.f64 (/.f64 1 (/.f64 b (sqrt.f64 (+.f64 a b)))) (sqrt.f64 (+.f64 a b)))
(*.f64 (/.f64 1 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 a b)) 2))) (cbrt.f64 (+.f64 a b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) b) (cbrt.f64 (+.f64 a b)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (pow.f64 b -1)) (-.f64 (.f64 a a) (.f64 b b))) (+.f64 a b))
(.f64 (/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (pow.f64 b -1)) (-.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (.f64 a a) (.f64 b (+.f64 a b))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (pow.f64 b -1)) (-.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 b (-.f64 b a)) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (pow.f64 b -1)) (+.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (.f64 b (-.f64 b a)) 3))) (+.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (*.f64 a a)))))
(pow.f64 (/.f64 (+.f64 a b) b) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 a b) b) 3) 1/3)
(pow.f64 (/.f64 b (+.f64 a b)) -1)
(neg.f64 (/.f64 (+.f64 a b) (neg.f64 b)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 a b) b) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 a b) b)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 a b) b))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) b) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) b)))
(exp.f64 (log.f64 (/.f64 (+.f64 a b) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a b) b)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) b)))
(+.f64 (pow.f64 (exp.f64 a) eps) -1)
(+.f64 -1 (pow.f64 (exp.f64 a) eps))
(+.f64 (*.f64 (pow.f64 (exp.f64 a) eps) 1) -1)
(-.f64 (pow.f64 (exp.f64 a) eps) 1)
(.f64 (expm1.f64 (.f64 eps a)) 1)
(.f64 1 (expm1.f64 (.f64 eps a)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps a))) (sqrt.f64 (expm1.f64 (*.f64 eps a))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps a))) (neg.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 eps a))))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2) (cbrt.f64 (expm1.f64 (*.f64 eps a))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2) (neg.f64 (neg.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a))))))
(.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 eps a)))) (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 eps a))))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 eps a)))) (cbrt.f64 (neg.f64 (expm1.f64 (.f64 eps a))))) (neg.f64 (cbrt.f64 (neg.f64 (expm1.f64 (*.f64 eps a))))))
(.f64 -1 (neg.f64 (expm1.f64 (.f64 eps a))))
(.f64 (neg.f64 (sqrt.f64 (expm1.f64 (.f64 eps a)))) (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 eps a)))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (neg.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a)))))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 eps a))))) (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 eps a)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 eps a)))) (cbrt.f64 (neg.f64 (expm1.f64 (.f64 eps a)))))) (cbrt.f64 (neg.f64 (expm1.f64 (*.f64 eps a)))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (expm1.f64 (.f64 eps a))))) (sqrt.f64 (expm1.f64 (*.f64 eps a))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2))) (cbrt.f64 (expm1.f64 (*.f64 eps a))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) 1) (+.f64 1 (pow.f64 (exp.f64 a) eps)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) eps) 1))))
(pow.f64 (expm1.f64 (*.f64 eps a)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 eps a))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 3) 1/3)
(neg.f64 (neg.f64 (expm1.f64 (*.f64 eps a))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 eps a))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 eps a)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 eps a))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 eps a))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 eps a))))

Outputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) b)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 -1/2 (*.f64 (+.f64 a b) (/.f64 eps b)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 (/.f64 (.f64 a (+.f64 a b)) b)) (.f64 -1/4 (/.f64 (.f64 a (+.f64 a b)) b))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) b)) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 -1 (.f64 (.f64 eps eps) (.f64 (/.f64 a (/.f64 b (+.f64 a b))) -1/12)) (fma.f64 -1/2 (.f64 (+.f64 a b) (/.f64 eps b)) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(-.f64 (fma.f64 -1/2 (.f64 (+.f64 a b) (/.f64 eps b)) (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 eps (.f64 eps (/.f64 (.f64 a -1/12) (/.f64 b (+.f64 a b))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 (/.f64 (.f64 a (+.f64 a b)) b)) (.f64 -1/4 (/.f64 (.f64 a (+.f64 a b)) b))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/2 (.f64 a (+.f64 (.f64 1/6 (/.f64 (.f64 a (+.f64 a b)) b)) (.f64 -1/4 (/.f64 (.f64 a (+.f64 a b)) b))))) (+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 a 2) (+.f64 a b)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) (+.f64 a b)) b)))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(fma.f64 -1 (.f64 (.f64 eps eps) (.f64 (/.f64 a (/.f64 b (+.f64 a b))) -1/12)) (fma.f64 -1/2 (.f64 (+.f64 a b) (/.f64 eps b)) (fma.f64 -1 (.f64 (pow.f64 eps 3) (fma.f64 -1/2 (.f64 a (.f64 (/.f64 a (/.f64 b (+.f64 a b))) -1/12)) (.f64 (/.f64 (.f64 (+.f64 a b) (.f64 a a)) b) -1/24))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(-.f64 (fma.f64 -1/2 (.f64 (+.f64 a b) (/.f64 eps b)) (-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (.f64 (pow.f64 eps 3) (fma.f64 -1/2 (.f64 a (/.f64 (.f64 a -1/12) (/.f64 b (+.f64 a b)))) (.f64 (.f64 (/.f64 (.f64 a a) b) (+.f64 a b)) -1/24))))) (.f64 eps (.f64 eps (/.f64 (.f64 a -1/12) (/.f64 b (+.f64 a b))))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (+.f64 a b) b))
(.f64 (+.f64 a b) (/.f64 (/.f64 eps b) (expm1.f64 (.f64 a eps))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (+.f64 a b) b))
(.f64 (+.f64 a b) (/.f64 (/.f64 eps b) (expm1.f64 (.f64 a eps))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (+.f64 a b) b))
(.f64 (+.f64 a b) (/.f64 (/.f64 eps b) (expm1.f64 (.f64 a eps))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (+.f64 a b) b))
(.f64 (+.f64 a b) (/.f64 (/.f64 eps b) (expm1.f64 (.f64 a eps))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (+.f64 a b) b))
(.f64 (+.f64 a b) (/.f64 (/.f64 eps b) (expm1.f64 (.f64 a eps))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
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(neg.f64 (/.f64 (+.f64 a b) (neg.f64 b)))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 a b) b) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 a b) b)))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 a b) b))))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) b) 3))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 b 3)))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) b)))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(exp.f64 (log.f64 (/.f64 (+.f64 a b) b)))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a b) b)) 1))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) b)))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(+.f64 (pow.f64 (exp.f64 a) eps) -1)
(+.f64 -1 (pow.f64 (exp.f64 a) eps))
(+.f64 -1 (pow.f64 (exp.f64 a) eps))
(+.f64 (*.f64 (pow.f64 (exp.f64 a) eps) 1) -1)
(+.f64 -1 (pow.f64 (exp.f64 a) eps))
(-.f64 (pow.f64 (exp.f64 a) eps) 1)
(+.f64 -1 (pow.f64 (exp.f64 a) eps))
(.f64 (expm1.f64 (.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(.f64 1 (expm1.f64 (.f64 eps a)))
(expm1.f64 (*.f64 a eps))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps a))) (sqrt.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps a))) (neg.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 eps a))))))
(expm1.f64 (*.f64 a eps))
(.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a))) 2))
(expm1.f64 (*.f64 a eps))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2) (cbrt.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2) (neg.f64 (neg.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a))))))
(expm1.f64 (*.f64 a eps))
(.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 eps a)))) (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 eps a))))))
(neg.f64 (.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 a eps)))) (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 a eps))))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 eps a)))) (cbrt.f64 (neg.f64 (expm1.f64 (.f64 eps a))))) (neg.f64 (cbrt.f64 (neg.f64 (expm1.f64 (*.f64 eps a))))))
(.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 a eps)))) (.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 a eps)))) (neg.f64 (cbrt.f64 (neg.f64 (expm1.f64 (*.f64 a eps)))))))
(.f64 -1 (neg.f64 (expm1.f64 (.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(.f64 (neg.f64 (sqrt.f64 (expm1.f64 (.f64 eps a)))) (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 eps a)))))
(expm1.f64 (*.f64 a eps))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (neg.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a)))))
(expm1.f64 (*.f64 a eps))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 eps a))))) (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 eps a)))))
(neg.f64 (.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 a eps)))) (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 a eps))))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 eps a)))) (cbrt.f64 (neg.f64 (expm1.f64 (.f64 eps a)))))) (cbrt.f64 (neg.f64 (expm1.f64 (*.f64 eps a)))))
(.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 a eps)))) (.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 a eps)))) (neg.f64 (cbrt.f64 (neg.f64 (expm1.f64 (*.f64 a eps)))))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (expm1.f64 (.f64 eps a))))) (sqrt.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2))) (cbrt.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) 1) (+.f64 1 (pow.f64 (exp.f64 a) eps)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 eps)) -1) (+.f64 1 (pow.f64 (exp.f64 a) eps)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 eps 2))) (+.f64 1 (pow.f64 (exp.f64 a) eps)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) eps) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) -1) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 eps)) (+.f64 1 (pow.f64 (exp.f64 a) eps))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) eps) 3)) (+.f64 (pow.f64 (exp.f64 a) eps) (+.f64 1 (pow.f64 (exp.f64 a) (*.f64 eps 2)))))
(pow.f64 (expm1.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 eps a))) 2)
(expm1.f64 (*.f64 a eps))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a))) 3)
(expm1.f64 (*.f64 a eps))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 3) 1/3)
(expm1.f64 (*.f64 a eps))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a eps)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 eps a)))))
(expm1.f64 (*.f64 a eps))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 3))
(expm1.f64 (*.f64 a eps))
(exp.f64 (log.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 eps a))) 1))
(expm1.f64 (*.f64 a eps))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 a eps))
✓	0.4b	(/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))
✓	4.1b	(+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) (-.f64 (/.f64 1 (*.f64 a eps)) 1/2))
✓	32.9b	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) (-.f64 (/.f64 1 (.f64 a eps)) 1/2)))

Compiler

Compiled 79 to 27 computations (65.8% saved)

series13.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

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

rewrite135.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`associate-/r*`
954×	`associate-/l*`
378×	`add-sqr-sqrt`
366×	`pow1`
366×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	148
1	369	148
2	5142	148

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

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

simplify217.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

836×	`fma-def`
808×	`associate-r`
790×	`associate-l`
582×	`associate-+r-`
580×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	601	20111
1	1634	19257
2	7384	19257

Stop Event

1×	node limit

Counts

311 → 319

Calls

Call 1

Inputs
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))))))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/6 (pow.f64 b 2)) (+.f64 (.f64 1/24 (pow.f64 b 2)) (+.f64 (.f64 1/12 (pow.f64 b 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))) b)))))) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (*.f64 1/4 b)))))))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/6 (pow.f64 b 2)) (+.f64 (.f64 1/24 (pow.f64 b 2)) (+.f64 (.f64 1/12 (pow.f64 b 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))) b)))))) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/24 (pow.f64 b 3)) (+.f64 (.f64 1/6 (.f64 (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))) (pow.f64 b 2))) (+.f64 (.f64 1/2 (.f64 b (-.f64 (.f64 1/6 (pow.f64 b 2)) (+.f64 (.f64 1/24 (pow.f64 b 2)) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))) b)) (.f64 1/12 (pow.f64 b 2))))))) (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 1/120 (pow.f64 b 3))))))) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))))))))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 eps (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))) (.f64 1/12 (pow.f64 eps 2))))) (pow.f64 b 2))) (+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(/.f64 1 a)
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(/.f64 1 (*.f64 eps b))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (/.f64 1 (.f64 eps a))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))) (.f64 1/12 (pow.f64 eps 2))))) (pow.f64 b 2)) (+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (/.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 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (*.f64 eps a))) 1/2)
(-.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 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (*.f64 eps a))) 1/2)
(-.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 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (*.f64 eps a))) 1/2)
(-.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 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (*.f64 eps a))) 1/2)
(/.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) eps)
(+.f64 (.f64 eps (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b)))) (+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a))))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b)))) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/6 (pow.f64 b 2)) (+.f64 (.f64 1/24 (pow.f64 b 2)) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))) b)) (.f64 1/12 (pow.f64 b 2)))))) (+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (*.f64 eps a)))))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b)))) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/6 (pow.f64 b 2)) (+.f64 (.f64 1/24 (pow.f64 b 2)) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))) b)) (.f64 1/12 (pow.f64 b 2)))))) (+.f64 (.f64 (-.f64 (.f64 1/24 (pow.f64 b 3)) (+.f64 (.f64 1/6 (.f64 (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))) (pow.f64 b 2))) (+.f64 (.f64 1/120 (pow.f64 b 3)) (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 1/2 (.f64 b (-.f64 (.f64 1/6 (pow.f64 b 2)) (+.f64 (.f64 1/24 (pow.f64 b 2)) (+.f64 (.f64 1/12 (pow.f64 b 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))) b))))))))))) (pow.f64 eps 3)) (+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a))))))
(-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) 1/2)
(-.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 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (*.f64 eps a))) 1/2)
(-.f64 (+.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 b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) 1/2)
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(exp.f64 (-.f64 (.f64 b eps) (log.f64 (expm1.f64 (.f64 b eps)))))
(exp.f64 (.f64 (-.f64 (.f64 b eps) (log.f64 (expm1.f64 (*.f64 b eps)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 a eps)))) 1)
(.f64 1 (/.f64 1 (.f64 a eps)))
(.f64 (/.f64 1 (.f64 a eps)) 1)
(.f64 (pow.f64 (.f64 a eps) -1/2) (pow.f64 (*.f64 a eps) -1/2))
(.f64 (cbrt.f64 (/.f64 1 (.f64 a eps))) (cbrt.f64 (pow.f64 (*.f64 a eps) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a eps) -2)) (cbrt.f64 (/.f64 1 (*.f64 a eps))))
(*.f64 (pow.f64 a -1) (/.f64 1 eps))
(*.f64 (pow.f64 a -1) (pow.f64 eps -1))
(.f64 -1 (/.f64 -1 (.f64 a eps)))
(*.f64 (pow.f64 eps -1) (pow.f64 a -1))
(.f64 (pow.f64 (sqrt.f64 (.f64 a eps)) -1) (pow.f64 (sqrt.f64 (*.f64 a eps)) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a eps)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 a eps)) -1))
(pow.f64 (*.f64 a eps) -1)
(pow.f64 (/.f64 1 (*.f64 a eps)) 1)
(pow.f64 (pow.f64 (*.f64 a eps) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 a eps))) 3)
(pow.f64 (pow.f64 (*.f64 a eps) -3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a eps) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 a eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 a eps)))))
(cbrt.f64 (pow.f64 (*.f64 a eps) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 a eps))))
(exp.f64 (neg.f64 (log.f64 (*.f64 a eps))))
(exp.f64 (.f64 (log.f64 (.f64 a eps)) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 a eps))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 a eps))))

Outputs
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 (.f64 eps eps) (fma.f64 1/2 b (neg.f64 (*.f64 b 5/12)))))
(+.f64 (/.f64 1 a) (fma.f64 (.f64 eps eps) (.f64 b 1/12) (/.f64 1 b)))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/6 (pow.f64 b 2)) (+.f64 (.f64 1/24 (pow.f64 b 2)) (+.f64 (.f64 1/12 (pow.f64 b 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))) b)))))) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (*.f64 1/4 b)))))))
(fma.f64 (pow.f64 eps 3) (-.f64 (.f64 1/6 (.f64 b b)) (fma.f64 1/24 (.f64 b b) (fma.f64 1/2 (.f64 b (fma.f64 1/2 b (neg.f64 (.f64 b 5/12)))) (.f64 (.f64 b b) 1/12)))) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 (.f64 eps eps) (fma.f64 1/2 b (neg.f64 (.f64 b 5/12))))))
(+.f64 (fma.f64 (.f64 eps eps) (.f64 b 1/12) (/.f64 1 b)) (fma.f64 (pow.f64 eps 3) (-.f64 (.f64 (.f64 b b) 1/8) (fma.f64 1/2 (.f64 b (.f64 b 1/12)) (.f64 b (.f64 b 1/12)))) (/.f64 1 a)))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 1/6 (pow.f64 b 2)) (+.f64 (.f64 1/24 (pow.f64 b 2)) (+.f64 (.f64 1/12 (pow.f64 b 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))) b)))))) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/24 (pow.f64 b 3)) (+.f64 (.f64 1/6 (.f64 (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))) (pow.f64 b 2))) (+.f64 (.f64 1/2 (.f64 b (-.f64 (.f64 1/6 (pow.f64 b 2)) (+.f64 (.f64 1/24 (pow.f64 b 2)) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))) b)) (.f64 1/12 (pow.f64 b 2))))))) (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 1/120 (pow.f64 b 3))))))) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 b) (+.f64 (.f64 1/6 b) (.f64 1/4 b))))))))
(fma.f64 (pow.f64 eps 3) (-.f64 (.f64 1/6 (.f64 b b)) (fma.f64 1/24 (.f64 b b) (fma.f64 1/2 (.f64 b (fma.f64 1/2 b (neg.f64 (.f64 b 5/12)))) (.f64 (.f64 b b) 1/12)))) (fma.f64 (pow.f64 eps 4) (-.f64 (.f64 1/24 (pow.f64 b 3)) (fma.f64 1/6 (.f64 (fma.f64 1/2 b (neg.f64 (.f64 b 5/12))) (.f64 b b)) (fma.f64 1/2 (.f64 b (-.f64 (.f64 1/6 (.f64 b b)) (fma.f64 1/24 (.f64 b b) (fma.f64 1/2 (.f64 b (fma.f64 1/2 b (neg.f64 (.f64 b 5/12)))) (.f64 (.f64 b b) 1/12))))) (.f64 (pow.f64 b 3) 7/240)))) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 (.f64 eps eps) (fma.f64 1/2 b (neg.f64 (*.f64 b 5/12)))))))
(fma.f64 (pow.f64 eps 3) (-.f64 (.f64 (.f64 b b) 1/8) (fma.f64 1/2 (.f64 b (.f64 b 1/12)) (.f64 b (.f64 b 1/12)))) (fma.f64 (pow.f64 eps 4) (-.f64 (.f64 1/24 (pow.f64 b 3)) (fma.f64 1/6 (.f64 (.f64 b 1/12) (.f64 b b)) (fma.f64 (.f64 b 1/2) (-.f64 (.f64 (.f64 b b) 1/8) (fma.f64 1/2 (.f64 b (.f64 b 1/12)) (.f64 b (.f64 b 1/12)))) (.f64 (pow.f64 b 3) 7/240)))) (+.f64 (/.f64 1 a) (fma.f64 (.f64 eps eps) (.f64 b 1/12) (/.f64 1 b)))))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps (.f64 b (-.f64 (.f64 eps 1/2) (*.f64 eps 5/12))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (fma.f64 eps (.f64 b (.f64 eps 1/12)) (/.f64 1 a)))
(+.f64 (.f64 eps (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))) (.f64 1/12 (pow.f64 eps 2))))) (pow.f64 b 2))) (+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 eps (.f64 (.f64 b b) (-.f64 (.f64 (.f64 eps eps) 1/6) (fma.f64 1/24 (.f64 eps eps) (fma.f64 1/2 (.f64 eps (-.f64 (.f64 eps 1/2) (.f64 eps 5/12))) (.f64 (.f64 eps eps) 1/12))))) (fma.f64 eps (.f64 b (-.f64 (.f64 eps 1/2) (*.f64 eps 5/12))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(fma.f64 eps (.f64 b (.f64 b (-.f64 (.f64 (.f64 eps eps) 1/8) (fma.f64 (.f64 eps eps) 1/12 (.f64 eps (.f64 1/2 (.f64 eps 1/12))))))) (+.f64 (/.f64 1 b) (fma.f64 eps (.f64 b (.f64 eps 1/12)) (/.f64 1 a))))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (*.f64 a eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2) (/.f64 eps (.f64 a eps)))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (*.f64 a eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2) (/.f64 eps (.f64 a eps)))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (*.f64 a eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2) (/.f64 eps (.f64 a eps)))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (*.f64 a eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2) (/.f64 eps (.f64 a eps)))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (*.f64 a eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2) (/.f64 eps (.f64 a eps)))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (*.f64 a eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2) (/.f64 eps (.f64 a eps)))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (*.f64 a eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2) (/.f64 eps (.f64 a eps)))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (*.f64 a eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2) (/.f64 eps (.f64 a eps)))
(/.f64 1 a)
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) -1/2))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (*.f64 eps b)) 1)) 1/2)) (/.f64 1 a))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) -1/2) (/.f64 1 a))
(/.f64 1 (*.f64 eps b))
(/.f64 (/.f64 1 eps) b)
(/.f64 1 (*.f64 b eps))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 (/.f64 1 eps) b) (/.f64 1 (*.f64 a eps)))
(+.f64 (/.f64 1 (.f64 b eps)) (/.f64 1 (.f64 a eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (/.f64 1 (.f64 eps a))))
(+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (-.f64 (.f64 eps 1/2) (.f64 eps 5/12)) (/.f64 1 (*.f64 a eps))))
(+.f64 (/.f64 1 (.f64 b eps)) (fma.f64 b (.f64 eps 1/12) (/.f64 1 (*.f64 a eps))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))) (.f64 1/12 (pow.f64 eps 2))))) (pow.f64 b 2)) (+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (/.f64 1 (*.f64 eps a)))))
(fma.f64 (-.f64 (.f64 (.f64 eps eps) 1/6) (fma.f64 1/24 (.f64 eps eps) (fma.f64 1/2 (.f64 eps (-.f64 (.f64 eps 1/2) (.f64 eps 5/12))) (.f64 (.f64 eps eps) 1/12)))) (.f64 b b) (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (-.f64 (.f64 eps 1/2) (.f64 eps 5/12)) (/.f64 1 (.f64 a eps)))))
(+.f64 (fma.f64 b (.f64 eps 1/12) (/.f64 1 (.f64 a eps))) (fma.f64 (.f64 b b) (-.f64 (.f64 (.f64 eps eps) 1/8) (fma.f64 (.f64 eps eps) 1/12 (.f64 eps (.f64 1/2 (.f64 eps 1/12))))) (/.f64 1 (.f64 b eps))))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (*.f64 eps a))) 1/2)
(+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (.f64 a eps)) -1/2))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (*.f64 eps a))) 1/2)
(+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (.f64 a eps)) -1/2))
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(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (*.f64 a eps)) -1/2)))
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(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (*.f64 a eps)) -1/2)))
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(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (*.f64 a eps)) -1/2)))
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(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps))) (+.f64 (/.f64 1 (*.f64 a eps)) -1/2)))
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(.f64 (sqrt.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (sqrt.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps)))))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(.f64 (sqrt.f64 (exp.f64 (.f64 b eps))) (.f64 (sqrt.f64 (exp.f64 (.f64 b eps))) (/.f64 1 (expm1.f64 (*.f64 b eps)))))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps)))) 2))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) 2) (cbrt.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps)))))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 b eps))) 2) (.f64 (cbrt.f64 (exp.f64 (.f64 b eps))) (/.f64 1 (expm1.f64 (*.f64 b eps)))))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(.f64 (/.f64 1 (expm1.f64 (.f64 b eps))) (exp.f64 (*.f64 b eps)))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(.f64 (neg.f64 (exp.f64 (.f64 b eps))) (/.f64 -1 (expm1.f64 (*.f64 b eps))))
(.f64 (neg.f64 (pow.f64 (exp.f64 eps) b)) (/.f64 -1 (expm1.f64 (.f64 b eps))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 eps) b))) (expm1.f64 (*.f64 b eps)))
(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 b eps)))) (/.f64 (exp.f64 (.f64 b eps)) (sqrt.f64 (expm1.f64 (.f64 b eps)))))
(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 b eps)))) (/.f64 (pow.f64 (exp.f64 eps) b) (sqrt.f64 (expm1.f64 (*.f64 b eps)))))
(/.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (sqrt.f64 (expm1.f64 (.f64 b eps)))) (sqrt.f64 (expm1.f64 (.f64 b eps))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 b eps))) 2)) (/.f64 (exp.f64 (.f64 b eps)) (cbrt.f64 (expm1.f64 (.f64 b eps)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 b eps))) 2)) (/.f64 (pow.f64 (exp.f64 eps) b) (cbrt.f64 (expm1.f64 (*.f64 b eps)))))
(/.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (cbrt.f64 (expm1.f64 (.f64 b eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 b eps))) 2))
(.f64 (/.f64 (sqrt.f64 (exp.f64 (.f64 b eps))) 1) (/.f64 (sqrt.f64 (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(.f64 (/.f64 (sqrt.f64 (exp.f64 (.f64 b eps))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 b eps))) 2)) (/.f64 (sqrt.f64 (exp.f64 (.f64 b eps))) (cbrt.f64 (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 b eps))) 2)) (/.f64 (pow.f64 (exp.f64 eps) b) (cbrt.f64 (expm1.f64 (*.f64 b eps)))))
(/.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (cbrt.f64 (expm1.f64 (.f64 b eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 b eps))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 b eps))) 2) 1) (/.f64 (cbrt.f64 (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 b eps))) 2) (sqrt.f64 (expm1.f64 (.f64 b eps)))) (/.f64 (cbrt.f64 (exp.f64 (.f64 b eps))) (sqrt.f64 (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 b eps)))) (/.f64 (pow.f64 (exp.f64 eps) b) (sqrt.f64 (expm1.f64 (*.f64 b eps)))))
(/.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (sqrt.f64 (expm1.f64 (.f64 b eps)))) (sqrt.f64 (expm1.f64 (.f64 b eps))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 b eps))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 b eps))) 2)) (cbrt.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (*.f64 b eps)))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 b eps)))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) b)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 b eps))) 2)))
(pow.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) 1)
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) 2)
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))) 3)
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(pow.f64 (/.f64 (expm1.f64 (.f64 b eps)) (exp.f64 (.f64 b eps))) -1)
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(pow.f64 (pow.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) 3) 1/3)
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(neg.f64 (/.f64 (exp.f64 (.f64 b eps)) (neg.f64 (expm1.f64 (.f64 b eps)))))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) 2))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))) 2))
(fabs.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps))))
(log.f64 (exp.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))))))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) 3))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(exp.f64 (-.f64 (.f64 b eps) (log.f64 (expm1.f64 (.f64 b eps)))))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(exp.f64 (.f64 (-.f64 (.f64 b eps) (log.f64 (expm1.f64 (*.f64 b eps)))) 1))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps)))))
(/.f64 (pow.f64 (exp.f64 eps) b) (expm1.f64 (*.f64 b eps)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 a eps)))) 1)
(/.f64 1 (*.f64 a eps))
(.f64 1 (/.f64 1 (.f64 a eps)))
(/.f64 1 (*.f64 a eps))
(.f64 (/.f64 1 (.f64 a eps)) 1)
(/.f64 1 (*.f64 a eps))
(.f64 (pow.f64 (.f64 a eps) -1/2) (pow.f64 (*.f64 a eps) -1/2))
(/.f64 1 (*.f64 a eps))
(.f64 (cbrt.f64 (/.f64 1 (.f64 a eps))) (cbrt.f64 (pow.f64 (*.f64 a eps) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a eps) -2)) (cbrt.f64 (/.f64 1 (*.f64 a eps))))
(.f64 (cbrt.f64 (/.f64 1 (.f64 a eps))) (cbrt.f64 (pow.f64 (*.f64 a eps) -2)))
(*.f64 (pow.f64 a -1) (/.f64 1 eps))
(/.f64 1 (*.f64 a eps))
(*.f64 (pow.f64 a -1) (pow.f64 eps -1))
(/.f64 1 (*.f64 a eps))
(.f64 -1 (/.f64 -1 (.f64 a eps)))
(/.f64 1 (*.f64 a eps))
(*.f64 (pow.f64 eps -1) (pow.f64 a -1))
(/.f64 1 (*.f64 a eps))
(.f64 (pow.f64 (sqrt.f64 (.f64 a eps)) -1) (pow.f64 (sqrt.f64 (*.f64 a eps)) -1))
(pow.f64 (sqrt.f64 (*.f64 a eps)) -2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a eps)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 a eps)) -1))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 a eps)) 2)) (/.f64 1 (cbrt.f64 (*.f64 a eps))))
(pow.f64 (*.f64 a eps) -1)
(/.f64 1 (*.f64 a eps))
(pow.f64 (/.f64 1 (*.f64 a eps)) 1)
(/.f64 1 (*.f64 a eps))
(pow.f64 (pow.f64 (*.f64 a eps) -1/2) 2)
(/.f64 1 (*.f64 a eps))
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 a eps))) 3)
(/.f64 1 (*.f64 a eps))
(pow.f64 (pow.f64 (*.f64 a eps) -3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 a eps) -3))
(sqrt.f64 (pow.f64 (*.f64 a eps) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 a eps))))
(/.f64 1 (*.f64 a eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 a eps)))))
(/.f64 1 (*.f64 a eps))
(cbrt.f64 (pow.f64 (*.f64 a eps) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 a eps))))
(/.f64 1 (*.f64 a eps))
(exp.f64 (neg.f64 (log.f64 (*.f64 a eps))))
(/.f64 1 (*.f64 a eps))
(exp.f64 (.f64 (log.f64 (.f64 a eps)) -1))
(/.f64 1 (*.f64 a eps))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 a eps))) 1))
(/.f64 1 (*.f64 a eps))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 a eps))))
(/.f64 1 (*.f64 a eps))

eval234.0ms (1.4%)

Compiler: Compiled 21066 to 8443 computations (59.9% saved)

prune159.0ms (1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	771	6	777
Fresh	2	2	4
Picked	1	0	1
Done	1	3	4
Total	775	11	786

Error

0.2b

Counts

786 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.9b	(/.f64 (+.f64 a b) (*.f64 a b))
	38.5b	(/.f64 (.f64 eps (+.f64 a b)) (.f64 (expm1.f64 (*.f64 eps a)) b))
	50.3b	(/.f64 eps (*.f64 eps b))
▶	46.7b	(/.f64 eps (expm1.f64 (*.f64 a eps)))
▶	30.2b	(/.f64 1 b)
✓	35.6b	(/.f64 1 a)
▶	2.8b	(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
▶	3.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	4.2b	(+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
✓	50.8b	(*.f64 eps (/.f64 (/.f64 1 eps) b))
▶	38.1b	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 1 (.f64 b eps)) 1/2)))

Compiler

Compiled 246 to 172 computations (30.1% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

series2.0ms (0%)

Counts

2 → 42

Calls

15 calls:

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

rewrite114.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`distribute-rgt-in`
1142×	`distribute-lft-in`
948×	`associate-/r*`
460×	`associate-/l*`
432×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	273	50
2	3804	50

Stop Event

1×	node limit

Counts

2 → 266

Calls

Call 1

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

Outputs

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

simplify128.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

770×	`associate-+l+`
764×	`associate-r`
728×	`+-commutative`
602×	`associate-+r+`
578×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	704	16718
1	2093	15818

Stop Event

1×	node limit

Counts

308 → 409

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))
(/.f64 1 b)
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
(/.f64 1 a)
(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(+.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)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 b))) (-.f64 1 (/.f64 1 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 a))) (-.f64 1 (/.f64 1 b)))
(-.f64 (/.f64 (pow.f64 b -2) (-.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 (/.f64 (pow.f64 a -2) (-.f64 a b)) (.f64 b a)))
(-.f64 (+.f64 (/.f64 1 b) (exp.f64 (log1p.f64 (/.f64 1 a)))) 1)
(-.f64 (+.f64 (/.f64 1 a) (exp.f64 (log1p.f64 (/.f64 1 b)))) 1)
(*.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(*.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 1)
(*.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 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) 2) (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))))
(.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (.f64 (/.f64 1 (-.f64 a b)) (*.f64 b a)))
(*.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (/.f64 1 (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)))))
(*.f64 (/.f64 (/.f64 1 b) a) (+.f64 b a))
(*.f64 (+.f64 b a) (/.f64 (/.f64 1 b) a))
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 1 a))
(.f64 (.f64 (/.f64 1 (-.f64 a b)) (*.f64 b a)) (-.f64 (pow.f64 b -2) (pow.f64 a -2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)))) (+.f64 (pow.f64 b -3) (pow.f64 a -3)))
(*.f64 (/.f64 (/.f64 (+.f64 b a) b) (sqrt.f64 a)) (pow.f64 a -1/2))
(*.f64 (/.f64 (/.f64 (+.f64 b a) b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 1 a)))
(*.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 (pow.f64 b -2) (pow.f64 a -2))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(*.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 (pow.f64 b -3) (pow.f64 a -3))) (+.f64 (pow.f64 b -2) (+.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))))
(.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 a b)) (.f64 b a))
(.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 (neg.f64 a) (.f64 b -1))) (*.f64 b (neg.f64 a)))
(.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 (neg.f64 a) (.f64 (neg.f64 b) 1))) (*.f64 (neg.f64 b) a))
(.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 a (.f64 (neg.f64 b) -1))) (*.f64 (neg.f64 b) (neg.f64 a)))
(.f64 (/.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (-.f64 (.f64 (pow.f64 b -2) (pow.f64 b -2)) (*.f64 (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))))) (+.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (/.f64 (/.f64 1 b) a)))
(.f64 (/.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (+.f64 (pow.f64 (pow.f64 b -2) 3) (pow.f64 (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)) 3))) (+.f64 (.f64 (pow.f64 b -2) (pow.f64 b -2)) (-.f64 (.f64 (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))) (.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))))))
(*.f64 (/.f64 (/.f64 (+.f64 b a) b) (neg.f64 a)) -1)
(/.f64 1 (/.f64 a (/.f64 (+.f64 b a) b)))
(/.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 1)
(/.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (/.f64 (-.f64 (/.f64 1 b) (/.f64 1 a)) (-.f64 (/.f64 1 b) (/.f64 1 a))))
(/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 (/.f64 1 b) (/.f64 1 a)))
(/.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))))
(/.f64 (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))) (/.f64 (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3))) (/.f64 (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))) (sqrt.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2))) (/.f64 (-.f64 (/.f64 1 b) (/.f64 1 a)) (sqrt.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)))))
(/.f64 (sqrt.f64 (+.f64 b a)) (/.f64 (*.f64 b a) (sqrt.f64 (+.f64 b a))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3))) (cbrt.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)))) (/.f64 (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))) (cbrt.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2))) (cbrt.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)))) (/.f64 (-.f64 (/.f64 1 b) (/.f64 1 a)) (cbrt.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 b a)) (cbrt.f64 (+.f64 b a))) (/.f64 (.f64 b a) (cbrt.f64 (+.f64 b a))))
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 (-.f64 (.f64 (pow.f64 b -3) (pow.f64 b -3)) (.f64 (pow.f64 a -3) (pow.f64 a -3))) (*.f64 (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))) (-.f64 (pow.f64 b -3) (pow.f64 a -3))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 b a) (-.f64 a b)))
(/.f64 (-.f64 (.f64 (pow.f64 b -2) (pow.f64 b -2)) (.f64 (pow.f64 a -2) (pow.f64 a -2))) (*.f64 (-.f64 (/.f64 1 b) (/.f64 1 a)) (+.f64 (pow.f64 b -2) (pow.f64 a -2))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 1/4 (.f64 eps eps))) (.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))) (cbrt.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))))) (cbrt.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 1/8 (pow.f64 eps 3))) 1) (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 1/8 (pow.f64 eps 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 1/2 eps)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 1/8 (pow.f64 eps 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 1/2 eps)))))))
(pow.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)) 1)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))) 2)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)) 2))
(log.f64 (exp.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)))))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))))
(exp.f64 (log.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))))
(exp.f64 (.f64 (log.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 1/2 eps))) 1))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))))
(fma.f64 1 (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))
(fma.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 eps -1/2))
(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))
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) 2) (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) (*.f64 eps -1/2))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))

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))
(/.f64 1 b)
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
(/.f64 1 a)
(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
(+.f64 (/.f64 1 b) (*.f64 eps -1/2))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
(+.f64 (/.f64 1 b) (*.f64 eps -1/2))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(fma.f64 eps -1/2 (+.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)))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(*.f64 -1/2 eps)
(*.f64 eps -1/2)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(*.f64 -1/2 eps)
(*.f64 eps -1/2)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)))) 1)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 b))) (-.f64 1 (/.f64 1 a)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 b))) 1) (/.f64 1 a))
(+.f64 (/.f64 1 a) (+.f64 (exp.f64 (log1p.f64 (/.f64 1 b))) -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 a))) (-.f64 1 (/.f64 1 b)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 a))) 1) (/.f64 1 b))
(+.f64 (exp.f64 (log1p.f64 (/.f64 1 a))) (+.f64 (/.f64 1 b) -1))
(-.f64 (/.f64 (pow.f64 b -2) (-.f64 (/.f64 1 b) (/.f64 1 a))) (.f64 (/.f64 (pow.f64 a -2) (-.f64 a b)) (.f64 b a)))
(-.f64 (/.f64 (pow.f64 b -2) (+.f64 (/.f64 1 b) (/.f64 -1 a))) (.f64 (/.f64 (pow.f64 a -2) (-.f64 a b)) (.f64 b a)))
(-.f64 (+.f64 (/.f64 1 b) (exp.f64 (log1p.f64 (/.f64 1 a)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 a))) 1) (/.f64 1 b))
(+.f64 (exp.f64 (log1p.f64 (/.f64 1 a))) (+.f64 (/.f64 1 b) -1))
(-.f64 (+.f64 (/.f64 1 a) (exp.f64 (log1p.f64 (/.f64 1 b)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 b))) 1) (/.f64 1 a))
(+.f64 (/.f64 1 a) (+.f64 (exp.f64 (log1p.f64 (/.f64 1 b))) -1))
(*.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(*.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 1)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(*.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)))
(pow.f64 (hypot.f64 (pow.f64 b -1/2) (pow.f64 a -1/2)) 2)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) 2))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) 2) (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (.f64 (/.f64 1 (-.f64 a b)) (*.f64 b a)))
(.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (.f64 (*.f64 b a) (/.f64 1 (-.f64 a b))))
(.f64 b (.f64 a (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 a b))))
(*.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (/.f64 1 (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)))))
(/.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (+.f64 (/.f64 -1 (*.f64 b a)) (pow.f64 b -2))))
(*.f64 (/.f64 (/.f64 1 b) a) (+.f64 b a))
(/.f64 (+.f64 b a) (*.f64 b a))
(*.f64 (+.f64 b a) (/.f64 (/.f64 1 b) a))
(*.f64 (/.f64 (/.f64 1 b) a) (+.f64 b a))
(/.f64 (+.f64 b a) (*.f64 b a))
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 1 a))
(*.f64 (/.f64 (/.f64 1 b) a) (+.f64 b a))
(/.f64 (+.f64 b a) (*.f64 b a))
(.f64 (.f64 (/.f64 1 (-.f64 a b)) (*.f64 b a)) (-.f64 (pow.f64 b -2) (pow.f64 a -2)))
(.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (.f64 (*.f64 b a) (/.f64 1 (-.f64 a b))))
(.f64 b (.f64 a (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 a b))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)))) (+.f64 (pow.f64 b -3) (pow.f64 a -3)))
(*.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (/.f64 1 (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)))))
(/.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (+.f64 (/.f64 -1 (*.f64 b a)) (pow.f64 b -2))))
(*.f64 (/.f64 (/.f64 (+.f64 b a) b) (sqrt.f64 a)) (pow.f64 a -1/2))
(.f64 (pow.f64 a -1/2) (/.f64 (+.f64 b a) (.f64 b (sqrt.f64 a))))
(*.f64 (/.f64 (/.f64 (+.f64 b a) b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 1 a)))
(.f64 (/.f64 (+.f64 b a) (.f64 b (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (/.f64 1 a)))
(/.f64 (/.f64 (+.f64 b a) b) (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (/.f64 1 a))))
(*.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 (pow.f64 b -2) (pow.f64 a -2))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(*.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 (pow.f64 b -3) (pow.f64 a -3))) (+.f64 (pow.f64 b -2) (+.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))))
(*.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 (pow.f64 b -3) (pow.f64 a -3))) (+.f64 (+.f64 (pow.f64 b -2) (pow.f64 a -2)) (/.f64 (/.f64 1 b) a)))
(.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 (pow.f64 b -3) (pow.f64 a -3))) (+.f64 (pow.f64 a -2) (+.f64 (/.f64 1 (.f64 b a)) (pow.f64 b -2))))
(.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 a b)) (.f64 b a))
(.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (.f64 (*.f64 b a) (/.f64 1 (-.f64 a b))))
(.f64 b (.f64 a (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 a b))))
(.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 (neg.f64 a) (.f64 b -1))) (*.f64 b (neg.f64 a)))
(.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 (neg.f64 a) (neg.f64 b))) (.f64 b (neg.f64 a)))
(/.f64 (.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (.f64 b a)) (-.f64 b a))
(.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 (neg.f64 a) (.f64 (neg.f64 b) 1))) (*.f64 (neg.f64 b) a))
(.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 (neg.f64 a) (neg.f64 b))) (.f64 b (neg.f64 a)))
(/.f64 (.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (.f64 b a)) (-.f64 b a))
(.f64 (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 a (.f64 (neg.f64 b) -1))) (*.f64 (neg.f64 b) (neg.f64 a)))
(.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (.f64 (*.f64 b a) (/.f64 1 (-.f64 a b))))
(.f64 b (.f64 a (/.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (-.f64 a b))))
(.f64 (/.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (-.f64 (.f64 (pow.f64 b -2) (pow.f64 b -2)) (*.f64 (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))))) (+.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (/.f64 (/.f64 1 b) a)))
(.f64 (/.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (-.f64 (pow.f64 b -4) (.f64 (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))))) (+.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (/.f64 (/.f64 1 b) a)))
(.f64 (/.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (-.f64 (pow.f64 b -4) (.f64 (+.f64 (pow.f64 a -2) (/.f64 -1 (.f64 b a))) (+.f64 (pow.f64 a -2) (/.f64 -1 (.f64 b a)))))) (+.f64 (-.f64 (pow.f64 b -2) (pow.f64 a -2)) (/.f64 1 (*.f64 b a))))
(.f64 (/.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (+.f64 (pow.f64 (pow.f64 b -2) 3) (pow.f64 (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)) 3))) (+.f64 (.f64 (pow.f64 b -2) (pow.f64 b -2)) (-.f64 (.f64 (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))) (.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a))))))
(.f64 (/.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (+.f64 (pow.f64 (pow.f64 b -2) 3) (pow.f64 (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)) 3))) (+.f64 (pow.f64 b -4) (.f64 (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)) (-.f64 (-.f64 (pow.f64 a -2) (/.f64 (/.f64 1 b) a)) (pow.f64 b -2)))))
(/.f64 (.f64 (+.f64 (pow.f64 b -3) (pow.f64 a -3)) (+.f64 (pow.f64 b -4) (.f64 (+.f64 (pow.f64 a -2) (/.f64 -1 (.f64 b a))) (-.f64 (pow.f64 a -2) (+.f64 (/.f64 1 (.f64 b a)) (pow.f64 b -2)))))) (+.f64 (pow.f64 (pow.f64 b -2) 3) (pow.f64 (+.f64 (pow.f64 a -2) (/.f64 -1 (*.f64 b a))) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 b a) b) (neg.f64 a)) -1)
(.f64 -1 (/.f64 (+.f64 b a) (.f64 b (neg.f64 a))))
(/.f64 (-.f64 (neg.f64 b) a) (*.f64 b (neg.f64 a)))
(/.f64 1 (/.f64 a (/.f64 (+.f64 b a) b)))
(*.f64 (/.f64 (/.f64 1 b) a) (+.f64 b a))
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 1)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (/.f64 (-.f64 (/.f64 1 b) (/.f64 1 a)) (-.f64 (/.f64 1 b) (/.f64 1 a))))
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(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 -1/8 (pow.f64 eps 3))) 1) (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 (pow.f64 eps 3) -1/8)) (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 eps (.f64 -1/2 (+.f64 (.f64 eps -1/2) (+.f64 (/.f64 -1 b) (/.f64 -1 a)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) 3) (pow.f64 (.f64 1/4 (.f64 eps eps)) 3)) (.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps))) (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) (+.f64 (.f64 (.f64 1/4 (.f64 eps eps)) (.f64 1/4 (.f64 eps eps))) (.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 1/4 (*.f64 eps eps)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) 3) (.f64 1/64 (pow.f64 (.f64 eps eps) 3))) (.f64 (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 1/2 eps)) (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 4) (.f64 (.f64 1/4 (.f64 eps eps)) (fma.f64 1/4 (.f64 eps eps) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 6) (.f64 -1/64 (pow.f64 (.f64 eps eps) 3))) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))) (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 4) (.f64 (.f64 eps eps) (.f64 1/4 (fma.f64 1/4 (*.f64 eps eps) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) 3) (pow.f64 (.f64 1/8 (pow.f64 eps 3)) 3)) (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps))))) (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3)) (+.f64 (.f64 (.f64 1/8 (pow.f64 eps 3)) (.f64 1/8 (pow.f64 eps 3))) (.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (*.f64 1/8 (pow.f64 eps 3)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) 3) (.f64 1/512 (pow.f64 (pow.f64 eps 3) 3))) (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 1/2 eps)))) (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 6) (.f64 (.f64 1/8 (pow.f64 eps 3)) (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 1/8 (pow.f64 eps 3)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) 3) (.f64 -1/512 (pow.f64 (pow.f64 eps 3) 3))) (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 eps (.f64 -1/2 (+.f64 (.f64 eps -1/2) (+.f64 (/.f64 -1 b) (/.f64 -1 a))))))) (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 1/8 (pow.f64 eps 3))) (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 6) (*.f64 1/64 (pow.f64 eps 6)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 1/4 (.f64 eps eps)))) (neg.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 1/2 eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 -1/4 (.f64 eps eps)))) (neg.f64 (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)) (.f64 eps (.f64 eps 1/4))) (+.f64 (/.f64 -1 b) (+.f64 (*.f64 eps -1/2) (/.f64 -1 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 1/8 (pow.f64 eps 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 -1/8 (pow.f64 eps 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 1/2 eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 (pow.f64 eps 3) -1/8))) (-.f64 (.f64 (.f64 1/2 eps) (+.f64 (/.f64 -1 b) (+.f64 (.f64 eps -1/2) (/.f64 -1 a)))) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 1/4 (.f64 eps eps))) 1) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 -1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 1/2 eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 eps eps) -1/4)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 1/4 (.f64 eps eps))) (sqrt.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps))))) (sqrt.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 -1/4 (.f64 eps eps))) (.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 1/2 eps))) (sqrt.f64 (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 eps eps) -1/4)) (.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))) (sqrt.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 1/2 eps))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 1/4 (.f64 eps eps))) (.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))) (cbrt.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))))) (cbrt.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 -1/4 (.f64 eps eps))) (.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 1/2 eps))) (.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 1/2 eps))) (cbrt.f64 (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 eps eps) -1/4)) (.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))) (.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))) (cbrt.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 1/2 eps)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 1/8 (pow.f64 eps 3))) 1) (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps))))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 -1/8 (pow.f64 eps 3))) 1) (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 (pow.f64 eps 3) -1/8)) (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 eps (.f64 -1/2 (+.f64 (.f64 eps -1/2) (+.f64 (/.f64 -1 b) (/.f64 -1 a)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 1/8 (pow.f64 eps 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 1/2 eps)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 -1/8 (pow.f64 eps 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 1/2 eps)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 (pow.f64 eps 3) -1/8)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 eps (.f64 -1/2 (+.f64 (.f64 eps -1/2) (+.f64 (/.f64 -1 b) (/.f64 -1 a))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 eps (.f64 -1/2 (+.f64 (.f64 eps -1/2) (+.f64 (/.f64 -1 b) (/.f64 -1 a)))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 1/8 (pow.f64 eps 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/2 eps)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 1/2 eps)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 -1/8 (pow.f64 eps 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 1/2 eps))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 1/2 eps))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 (.f64 1/2 eps) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 1/2 eps))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 3) (.f64 (pow.f64 eps 3) -1/8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 eps (.f64 -1/2 (+.f64 (.f64 eps -1/2) (+.f64 (/.f64 -1 b) (/.f64 -1 a)))))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 eps (.f64 -1/2 (+.f64 (.f64 eps -1/2) (+.f64 (/.f64 -1 b) (/.f64 -1 a))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2) (.f64 eps (.f64 -1/2 (+.f64 (*.f64 eps -1/2) (+.f64 (/.f64 -1 b) (/.f64 -1 a)))))))))
(pow.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)) 1)
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(pow.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))) 2)
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(pow.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))) 3)
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(pow.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)) 3) 1/3)
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a))) 2))
(log.f64 (exp.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)))))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)) 3))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(exp.f64 (log.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(exp.f64 (.f64 (log.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 1/2 eps))) 1))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(fma.f64 1 (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(fma.f64 1 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 eps -1/2))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(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))
(+.f64 (pow.f64 (hypot.f64 (pow.f64 b -1/2) (pow.f64 a -1/2)) 2) (*.f64 eps -1/2))
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))
(+.f64 (+.f64 (/.f64 1 a) (pow.f64 b -1)) (*.f64 eps -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) 2) (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))) (*.f64 eps -1/2))
(fma.f64 eps -1/2 (+.f64 (/.f64 1 b) (/.f64 1 a)))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (/.f64 1 a)) (*.f64 eps -1/2))

localize54.0ms (0.3%)

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 a eps))
✓	16.1b	(/.f64 eps (expm1.f64 (*.f64 a eps)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`add-sqr-sqrt`
1626×	`*-un-lft-identity`
1506×	`add-cube-cbrt`
1482×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	159	28
2	2015	28

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1498×	`associate-/r*`
1104×	`unswap-sqr`
1008×	`associate-*r/`
968×	`associate-/l*`
838×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	2148
1	499	2088
2	2343	2060

Stop Event

1×	node limit

Counts

100 → 98

Calls

Call 1

Inputs
(/.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 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (+.f64 (.f64 -1/2 eps) (+.f64 (/.f64 1 a) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1/4 a) (.f64 1/6 a)) a)) (+.f64 (.f64 -1/12 (pow.f64 a 2)) (*.f64 1/24 (pow.f64 a 2)))) (pow.f64 eps 3))))))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.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 -1/2 eps) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))))))))) (+.f64 (.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 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))))) 1)
(.f64 eps (/.f64 1 (expm1.f64 (.f64 a eps))))
(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) 1)
(.f64 1 (/.f64 eps (expm1.f64 (.f64 a eps))))
(.f64 (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))) (sqrt.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (expm1.f64 (*.f64 a eps)))))
(.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))) 2) (cbrt.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 eps) (/.f64 1 (expm1.f64 (.f64 a eps)))))
(.f64 (/.f64 1 (expm1.f64 (.f64 a eps))) eps)
(.f64 (neg.f64 eps) (/.f64 1 (neg.f64 (expm1.f64 (.f64 a eps)))))
(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 eps (sqrt.f64 (expm1.f64 (*.f64 a eps)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)) (/.f64 eps (cbrt.f64 (expm1.f64 (*.f64 a eps)))))
(.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (expm1.f64 (.f64 a eps))))
(.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (expm1.f64 (*.f64 a eps)))))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) 1) (/.f64 (cbrt.f64 eps) (expm1.f64 (*.f64 a eps))))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) (sqrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (expm1.f64 (.f64 a eps)))))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)) (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))))
(pow.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) 1)
(pow.f64 (sqrt.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))) 2)
(pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))) 3)
(pow.f64 (pow.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) 3) 1/3)
(pow.f64 (/.f64 (expm1.f64 (*.f64 a eps)) eps) -1)
(neg.f64 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 a eps)))))
(sqrt.f64 (pow.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) 2))
(log.f64 (exp.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))))))
(cbrt.f64 (pow.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) 3))
(expm1.f64 (log1p.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(exp.f64 (log.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(+.f64 (pow.f64 (exp.f64 a) eps) -1)
(-.f64 (pow.f64 (exp.f64 a) eps) 1)
(.f64 (expm1.f64 (.f64 a eps)) 1)
(.f64 1 (expm1.f64 (.f64 a eps)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a eps))) (sqrt.f64 (expm1.f64 (*.f64 a eps))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a eps))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2) (cbrt.f64 (expm1.f64 (*.f64 a eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) 1) (+.f64 (pow.f64 (exp.f64 a) eps) 1))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) eps) 1))))
(pow.f64 (expm1.f64 (*.f64 a eps)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a eps))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a eps))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a eps)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a eps))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 a eps)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a eps)) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a eps))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a eps))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a eps))))

Outputs
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(fma.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)))
(fma.f64 -1 (.f64 (.f64 eps eps) (*.f64 a -1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (.f64 a (.f64 eps (*.f64 eps -1/12))))
(fma.f64 -1/2 eps (fma.f64 (.f64 (.f64 eps eps) 1/12) a (/.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 (/.f64 1 a) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1/4 a) (.f64 1/6 a)) a)) (+.f64 (.f64 -1/12 (pow.f64 a 2)) (*.f64 1/24 (pow.f64 a 2)))) (pow.f64 eps 3))))))
(fma.f64 -1 (.f64 (.f64 eps eps) (.f64 a -1/12)) (+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (neg.f64 (.f64 (fma.f64 -1/2 (.f64 a (.f64 a -1/12)) (.f64 (.f64 a a) -1/24)) (pow.f64 eps 3)))))
(-.f64 (fma.f64 -1/2 eps (fma.f64 (neg.f64 (fma.f64 (.f64 a a) -1/24 (.f64 -1/2 (.f64 a (.f64 a -1/12))))) (pow.f64 eps 3) (/.f64 1 a))) (.f64 a (.f64 eps (*.f64 eps -1/12))))
(-.f64 (fma.f64 -1/2 eps (fma.f64 (.f64 (.f64 eps eps) 1/12) a (/.f64 1 a))) (.f64 (.f64 a (+.f64 (.f64 -1/2 (.f64 a -1/12)) (*.f64 a -1/24))) (pow.f64 eps 3)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a 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 (.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)))
(-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (.f64 a (.f64 eps (*.f64 eps -1/12))))
(fma.f64 -1/2 eps (fma.f64 (.f64 (.f64 eps eps) 1/12) a (/.f64 1 a)))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (*.f64 -1/4 (pow.f64 eps 2))) a)) (/.f64 1 a))))
(fma.f64 -1/2 eps (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 -1/12 (pow.f64 eps 3) (.f64 -1/2 (.f64 eps (.f64 (.f64 eps eps) -1/12)))))) (fma.f64 -1 (.f64 a (.f64 (*.f64 eps eps) -1/12)) (/.f64 1 a))))
(fma.f64 -1/2 eps (-.f64 (-.f64 (/.f64 1 a) (.f64 a (.f64 eps (.f64 eps -1/12)))) (.f64 a (.f64 a (+.f64 (.f64 -1/2 (.f64 -1/12 (pow.f64 eps 3))) (.f64 (pow.f64 eps 3) -1/24))))))
(fma.f64 -1/2 eps (-.f64 (/.f64 1 a) (.f64 a (+.f64 (.f64 a (fma.f64 1/24 (pow.f64 eps 3) (.f64 1/2 (.f64 -1/12 (pow.f64 eps 3))))) (.f64 eps (.f64 eps -1/12))))))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(*.f64 eps a)
(*.f64 a eps)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (.f64 a eps))
(fma.f64 a eps (.f64 (.f64 (.f64 (.f64 eps eps) 1/2) a) a))
(.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps 1/2)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 a eps)))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 eps eps))) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 a eps)))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 eps eps))) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 a 3) (*.f64 a eps)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a eps))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 eps eps))) (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 eps))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 eps eps))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 a 3) (.f64 a eps))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(*.f64 eps a)
(*.f64 a eps)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (.f64 a eps))
(fma.f64 a eps (.f64 (.f64 (.f64 (.f64 eps eps) 1/2) a) a))
(.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps 1/2)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 a eps)))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 eps eps))) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 a eps)))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 eps eps))) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 a 3) (*.f64 a eps)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a eps))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 eps eps))) (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 eps))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 eps eps))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 a 3) (.f64 a eps))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))))) 1)
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 eps (/.f64 1 (expm1.f64 (.f64 a eps))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) 1)
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 1 (/.f64 eps (expm1.f64 (.f64 a eps))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))) (sqrt.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (expm1.f64 (*.f64 a eps)))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))) 2))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))) 2) (cbrt.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 eps) (/.f64 1 (expm1.f64 (.f64 a eps)))))
(.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (/.f64 1 (expm1.f64 (.f64 a eps))) (cbrt.f64 eps)))
(.f64 (cbrt.f64 (.f64 eps eps)) (/.f64 (cbrt.f64 eps) (expm1.f64 (*.f64 a eps))))
(/.f64 (cbrt.f64 (.f64 eps eps)) (/.f64 (expm1.f64 (.f64 a eps)) (cbrt.f64 eps)))
(.f64 (/.f64 1 (expm1.f64 (.f64 a eps))) eps)
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (neg.f64 eps) (/.f64 1 (neg.f64 (expm1.f64 (.f64 a eps)))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 eps (sqrt.f64 (expm1.f64 (*.f64 a eps)))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)) (/.f64 eps (cbrt.f64 (expm1.f64 (*.f64 a eps)))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (expm1.f64 (.f64 a eps))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (expm1.f64 (*.f64 a eps)))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) 1) (/.f64 (cbrt.f64 eps) (expm1.f64 (*.f64 a eps))))
(.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (/.f64 1 (expm1.f64 (.f64 a eps))) (cbrt.f64 eps)))
(.f64 (cbrt.f64 (.f64 eps eps)) (/.f64 (cbrt.f64 eps) (expm1.f64 (*.f64 a eps))))
(/.f64 (cbrt.f64 (.f64 eps eps)) (/.f64 (expm1.f64 (.f64 a eps)) (cbrt.f64 eps)))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) (sqrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (expm1.f64 (.f64 a eps)))))
(.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (/.f64 1 (expm1.f64 (.f64 a eps))) (cbrt.f64 eps)))
(.f64 (cbrt.f64 (.f64 eps eps)) (/.f64 (cbrt.f64 eps) (expm1.f64 (*.f64 a eps))))
(/.f64 (cbrt.f64 (.f64 eps eps)) (/.f64 (expm1.f64 (.f64 a eps)) (cbrt.f64 eps)))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)) (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))))
(.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))) (/.f64 (cbrt.f64 (.f64 eps eps)) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)))
(pow.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) 1)
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(pow.f64 (sqrt.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))) 2)
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))) 3)
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(pow.f64 (pow.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) 3) 1/3)
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(pow.f64 (/.f64 (expm1.f64 (*.f64 a eps)) eps) -1)
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(neg.f64 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 a eps)))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(sqrt.f64 (pow.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) 2))
(fabs.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))))
(log.f64 (exp.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(cbrt.f64 (pow.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) 3))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(expm1.f64 (log1p.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(exp.f64 (log.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(exp.f64 (.f64 (log.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))) 1))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(log1p.f64 (expm1.f64 (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(+.f64 (pow.f64 (exp.f64 a) eps) -1)
(expm1.f64 (*.f64 a eps))
(-.f64 (pow.f64 (exp.f64 a) eps) 1)
(expm1.f64 (*.f64 a eps))
(.f64 (expm1.f64 (.f64 a eps)) 1)
(expm1.f64 (*.f64 a eps))
(.f64 1 (expm1.f64 (.f64 a eps)))
(expm1.f64 (*.f64 a eps))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a eps))) (sqrt.f64 (expm1.f64 (*.f64 a eps))))
(expm1.f64 (*.f64 a eps))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a eps))) 2))
(expm1.f64 (*.f64 a eps))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2) (cbrt.f64 (expm1.f64 (*.f64 a eps))))
(expm1.f64 (*.f64 a eps))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) 1) (+.f64 (pow.f64 (exp.f64 a) eps) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 eps)) -1) (+.f64 1 (pow.f64 (exp.f64 a) eps)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 eps 2))) (+.f64 1 (pow.f64 (exp.f64 eps) a)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 eps 2))) (+.f64 1 (pow.f64 (exp.f64 a) eps)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) eps) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) -1) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 eps)) 1) (pow.f64 (exp.f64 a) eps)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 eps) a) 3)) (+.f64 (pow.f64 (exp.f64 eps) a) (+.f64 1 (pow.f64 (exp.f64 a) (*.f64 eps 2)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) eps) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) (*.f64 eps 2)))))
(pow.f64 (expm1.f64 (*.f64 a eps)) 1)
(expm1.f64 (*.f64 a eps))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a eps))) 2)
(expm1.f64 (*.f64 a eps))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a eps))) 3)
(expm1.f64 (*.f64 a eps))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a eps)) 3) 1/3)
(expm1.f64 (*.f64 a eps))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a eps)) 2))
(fabs.f64 (expm1.f64 (*.f64 a eps)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a eps))))
(expm1.f64 (*.f64 a eps))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 a eps)))))
(expm1.f64 (*.f64 a eps))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a eps)) 3))
(expm1.f64 (*.f64 a eps))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a eps))))
(expm1.f64 (*.f64 a eps))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a eps))) 1))
(expm1.f64 (*.f64 a eps))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a eps))))
(expm1.f64 (*.f64 a eps))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 b eps))
✓	0.4b	(/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))
✓	4.1b	(+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 1 (*.f64 b eps)) 1/2))
✓	32.9b	(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 1 (.f64 b eps)) 1/2)))

Compiler

Compiled 79 to 27 computations (65.8% saved)

series13.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

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

rewrite141.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`associate-/r*`
954×	`associate-/l*`
378×	`add-sqr-sqrt`
366×	`pow1`
366×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	148
1	369	148
2	5142	148

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

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

simplify240.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-def`
804×	`associate-r`
790×	`associate-l`
574×	`associate-+l-`
520×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	597	20131
1	1613	19265
2	7399	19265

Stop Event

1×	node limit

Counts

311 → 319

Calls

Call 1

Inputs
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (.f64 1/6 a)))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (.f64 1/6 a)))) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 a 2)) (+.f64 (.f64 1/12 (pow.f64 a 2)) (+.f64 (.f64 1/24 (pow.f64 a 2)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (*.f64 1/6 a)))))))) (pow.f64 eps 3)) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (.f64 1/6 a)))) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/24 (pow.f64 a 3)) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/6 (pow.f64 a 2)) (+.f64 (.f64 1/12 (pow.f64 a 2)) (+.f64 (.f64 1/24 (pow.f64 a 2)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (.f64 1/6 a)))))))) a)) (+.f64 (.f64 1/120 (pow.f64 a 3)) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (.f64 1/6 a))))) (.f64 1/48 (pow.f64 a 3))))))) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 a 2)) (+.f64 (.f64 1/12 (pow.f64 a 2)) (+.f64 (.f64 1/24 (pow.f64 a 2)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (.f64 1/6 a)))))))) (pow.f64 eps 3)) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (.f64 eps (.f64 a (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps))))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (.f64 eps (.f64 a (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))) (+.f64 (/.f64 1 b) (+.f64 (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (.f64 1/6 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))) (*.f64 1/12 (pow.f64 eps 2))))))) (/.f64 1 a))))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(/.f64 1 b)
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)) (/.f64 1 b))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)) (/.f64 1 b))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)) (/.f64 1 b))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(/.f64 1 (*.f64 eps a))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 a (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (/.f64 1 (.f64 eps a))))
(+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))) (.f64 1/12 (pow.f64 eps 2))))) (pow.f64 a 2)) (+.f64 (.f64 a (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (/.f64 1 (*.f64 eps a)))))
(-.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 1 (*.f64 eps b))) 1/2)
(-.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 1 (*.f64 eps b))) 1/2)
(-.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 1 (*.f64 eps b))) 1/2)
(-.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 1 (*.f64 eps b))) 1/2)
(/.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) eps)
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 a eps))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)) (cbrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(pow.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) 1)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) 3)
(pow.f64 (/.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (.f64 a eps))) -1)
(pow.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) 3) 1/3)
(neg.f64 (/.f64 (exp.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (.f64 a eps)))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) 3))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))
(exp.f64 (-.f64 (.f64 a eps) (log.f64 (expm1.f64 (.f64 a eps)))))
(exp.f64 (.f64 (-.f64 (.f64 a eps) (log.f64 (expm1.f64 (*.f64 a eps)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 b eps)))) 1)
(.f64 1 (/.f64 1 (.f64 b eps)))
(.f64 (/.f64 1 (.f64 b eps)) 1)
(.f64 (pow.f64 (.f64 b eps) -1/2) (pow.f64 (*.f64 b eps) -1/2))
(.f64 (cbrt.f64 (/.f64 1 (.f64 b eps))) (cbrt.f64 (pow.f64 (*.f64 b eps) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 b eps) -2)) (cbrt.f64 (/.f64 1 (*.f64 b eps))))
(*.f64 (pow.f64 b -1) (/.f64 1 eps))
(*.f64 (pow.f64 b -1) (pow.f64 eps -1))
(.f64 -1 (/.f64 -1 (.f64 b eps)))
(*.f64 (pow.f64 eps -1) (pow.f64 b -1))
(.f64 (pow.f64 (sqrt.f64 (.f64 b eps)) -1) (pow.f64 (sqrt.f64 (*.f64 b eps)) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 b eps)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 b eps)) -1))
(pow.f64 (*.f64 b eps) -1)
(pow.f64 (/.f64 1 (*.f64 b eps)) 1)
(pow.f64 (pow.f64 (*.f64 b eps) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 b eps))) 3)
(pow.f64 (pow.f64 (*.f64 b eps) -3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 b eps) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 b eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 b eps)))))
(cbrt.f64 (pow.f64 (*.f64 b eps) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 b eps))))
(exp.f64 (neg.f64 (log.f64 (*.f64 b eps))))
(exp.f64 (.f64 (log.f64 (.f64 b eps)) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 b eps))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 b eps))))

Outputs
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (.f64 1/6 a)))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 (.f64 eps eps) (-.f64 (.f64 a 1/2) (*.f64 a 5/12)) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (fma.f64 (.f64 eps eps) (.f64 a 1/12) (/.f64 1 a)))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (.f64 1/6 a)))) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 a 2)) (+.f64 (.f64 1/12 (pow.f64 a 2)) (+.f64 (.f64 1/24 (pow.f64 a 2)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (*.f64 1/6 a)))))))) (pow.f64 eps 3)) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (.f64 eps eps) (-.f64 (.f64 a 1/2) (.f64 a 5/12)) (fma.f64 (-.f64 (.f64 1/6 (.f64 a a)) (fma.f64 1/12 (.f64 a a) (fma.f64 1/24 (.f64 a a) (.f64 (.f64 a 1/2) (-.f64 (.f64 a 1/2) (*.f64 a 5/12)))))) (pow.f64 eps 3) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(fma.f64 (.f64 eps eps) (.f64 a 1/12) (+.f64 (/.f64 1 b) (fma.f64 (-.f64 (.f64 a (.f64 a 1/12)) (fma.f64 1/2 (.f64 a (.f64 a 1/12)) (.f64 a (.f64 a 1/24)))) (pow.f64 eps 3) (/.f64 1 a))))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (.f64 1/6 a)))) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 1/24 (pow.f64 a 3)) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/6 (pow.f64 a 2)) (+.f64 (.f64 1/12 (pow.f64 a 2)) (+.f64 (.f64 1/24 (pow.f64 a 2)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (.f64 1/6 a)))))))) a)) (+.f64 (.f64 1/120 (pow.f64 a 3)) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (.f64 1/6 a))))) (.f64 1/48 (pow.f64 a 3))))))) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 a 2)) (+.f64 (.f64 1/12 (pow.f64 a 2)) (+.f64 (.f64 1/24 (pow.f64 a 2)) (.f64 1/2 (.f64 a (-.f64 (.f64 1/2 a) (+.f64 (.f64 1/4 a) (.f64 1/6 a)))))))) (pow.f64 eps 3)) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(fma.f64 (.f64 eps eps) (-.f64 (.f64 a 1/2) (.f64 a 5/12)) (fma.f64 (pow.f64 eps 4) (-.f64 (.f64 1/24 (pow.f64 a 3)) (fma.f64 1/2 (.f64 a (-.f64 (.f64 1/6 (.f64 a a)) (fma.f64 1/12 (.f64 a a) (fma.f64 1/24 (.f64 a a) (.f64 (.f64 a 1/2) (-.f64 (.f64 a 1/2) (.f64 a 5/12))))))) (fma.f64 1/120 (pow.f64 a 3) (fma.f64 1/6 (.f64 (-.f64 (.f64 a 1/2) (.f64 a 5/12)) (.f64 a a)) (.f64 (pow.f64 a 3) 1/48))))) (fma.f64 (-.f64 (.f64 1/6 (.f64 a a)) (fma.f64 1/12 (.f64 a a) (fma.f64 1/24 (.f64 a a) (.f64 (.f64 a 1/2) (-.f64 (.f64 a 1/2) (.f64 a 5/12)))))) (pow.f64 eps 3) (+.f64 (/.f64 1 b) (/.f64 1 a)))))
(fma.f64 (.f64 eps eps) (.f64 a 1/12) (fma.f64 (pow.f64 eps 4) (-.f64 (.f64 1/24 (pow.f64 a 3)) (fma.f64 1/2 (.f64 a (-.f64 (.f64 a (.f64 a 1/12)) (fma.f64 1/2 (.f64 a (.f64 a 1/12)) (.f64 a (.f64 a 1/24))))) (+.f64 (.f64 (.f64 a a) (.f64 1/6 (.f64 a 1/12))) (.f64 (pow.f64 a 3) 7/240)))) (+.f64 (/.f64 1 b) (fma.f64 (-.f64 (.f64 a (.f64 a 1/12)) (fma.f64 1/2 (.f64 a (.f64 a 1/12)) (.f64 a (*.f64 a 1/24)))) (pow.f64 eps 3) (/.f64 1 a)))))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (.f64 eps (.f64 a (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps))))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(fma.f64 eps (.f64 a (-.f64 (.f64 eps 1/2) (*.f64 eps 5/12))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 a) (fma.f64 (.f64 a eps) (.f64 eps 1/12) (/.f64 1 b)))
(+.f64 (.f64 eps (.f64 a (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))) (+.f64 (/.f64 1 b) (+.f64 (.f64 eps (.f64 (pow.f64 a 2) (-.f64 (.f64 1/6 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))) (*.f64 1/12 (pow.f64 eps 2))))))) (/.f64 1 a))))
(fma.f64 eps (.f64 a (-.f64 (.f64 eps 1/2) (.f64 eps 5/12))) (+.f64 (/.f64 1 b) (fma.f64 eps (.f64 (.f64 a a) (-.f64 (.f64 (.f64 eps eps) 1/6) (fma.f64 1/24 (.f64 eps eps) (fma.f64 1/2 (.f64 eps (-.f64 (.f64 eps 1/2) (.f64 eps 5/12))) (.f64 (*.f64 eps eps) 1/12))))) (/.f64 1 a))))
(+.f64 (fma.f64 eps (.f64 a (.f64 a (-.f64 (.f64 (.f64 eps eps) 1/8) (fma.f64 (.f64 eps eps) 1/12 (.f64 1/2 (.f64 eps (.f64 eps 1/12))))))) (/.f64 1 a)) (fma.f64 (.f64 a eps) (.f64 eps 1/12) (/.f64 1 b)))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (*.f64 b eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 (/.f64 eps eps) b))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (*.f64 b eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 (/.f64 eps eps) b))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (*.f64 b eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 (/.f64 eps eps) b))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (*.f64 b eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 (/.f64 eps eps) b))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (*.f64 b eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 (/.f64 eps eps) b))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (*.f64 b eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 (/.f64 eps eps) b))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (*.f64 b eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 (/.f64 eps eps) b))
(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (*.f64 b eps)) -1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 (/.f64 eps eps) b))
(/.f64 1 b)
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)) (/.f64 1 b))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)) (/.f64 1 b))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(+.f64 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)) (/.f64 1 b))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2))
(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(+.f64 (/.f64 1 b) (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2)))
(fma.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) -1/2) (/.f64 1 b))
(/.f64 1 (*.f64 eps a))
(/.f64 1 (*.f64 a eps))
(+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (.f64 eps a)))
(+.f64 (/.f64 1 (.f64 a eps)) (/.f64 1 (.f64 b eps)))
(+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 a (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (/.f64 1 (.f64 eps a))))
(+.f64 (fma.f64 a (-.f64 (.f64 eps 1/2) (.f64 eps 5/12)) (/.f64 1 (.f64 a eps))) (/.f64 1 (.f64 b eps)))
(+.f64 (fma.f64 a (.f64 eps 1/12) (/.f64 1 (.f64 a eps))) (/.f64 1 (*.f64 b eps)))
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(-.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 -1 (.f64 b eps)) -1/2))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 1 (.f64 b eps)) 1/2)) (sqrt.f64 (-.f64 (/.f64 1 (.f64 b eps)) 1/2)) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (.f64 b eps)) -1/2))
(-.f64 (/.f64 1 (.f64 b eps)) (-.f64 1/2 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 -1 (.f64 b eps)) -1/2))
(fma.f64 (sqrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) (sqrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) (-.f64 (/.f64 1 (*.f64 b eps)) 1/2))
(+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (.f64 b eps)) -1/2))
(-.f64 (/.f64 1 (.f64 b eps)) (-.f64 1/2 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 -1 (.f64 b eps)) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (.f64 b eps)) 1/2)) 2) (cbrt.f64 (-.f64 (/.f64 1 (.f64 b eps)) 1/2)) (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))
(+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (.f64 b eps)) -1/2))
(-.f64 (/.f64 1 (.f64 b eps)) (-.f64 1/2 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 -1 (.f64 b eps)) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) 2) (cbrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) (-.f64 (/.f64 1 (*.f64 b eps)) 1/2))
(+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (.f64 b eps)) -1/2))
(-.f64 (/.f64 1 (.f64 b eps)) (-.f64 1/2 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 -1 (.f64 b eps)) -1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))) 1)
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(.f64 (exp.f64 (.f64 a eps)) (/.f64 1 (expm1.f64 (*.f64 a eps))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))) 1)
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(.f64 1 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(.f64 (sqrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) (sqrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) (.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) (/.f64 1 (expm1.f64 (*.f64 a eps)))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))) 2))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) 2) (cbrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 a eps))) 2) (.f64 (cbrt.f64 (exp.f64 (.f64 a eps))) (/.f64 1 (expm1.f64 (*.f64 a eps)))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(.f64 (/.f64 1 (expm1.f64 (.f64 a eps))) (exp.f64 (*.f64 a eps)))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(.f64 (neg.f64 (exp.f64 (.f64 a eps))) (/.f64 -1 (expm1.f64 (*.f64 a eps))))
(.f64 (neg.f64 (pow.f64 (exp.f64 eps) a)) (/.f64 -1 (expm1.f64 (.f64 a eps))))
(neg.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))))
(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 (exp.f64 (.f64 a eps)) (sqrt.f64 (expm1.f64 (.f64 a eps)))))
(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 (pow.f64 (exp.f64 eps) a) (sqrt.f64 (expm1.f64 (*.f64 a eps)))))
(/.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (sqrt.f64 (expm1.f64 (.f64 a eps)))) (sqrt.f64 (expm1.f64 (.f64 a eps))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)) (/.f64 (exp.f64 (.f64 a eps)) (cbrt.f64 (expm1.f64 (.f64 a eps)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)) (/.f64 (pow.f64 (exp.f64 eps) a) (cbrt.f64 (expm1.f64 (*.f64 a eps)))))
(/.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (cbrt.f64 (expm1.f64 (.f64 a eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2))
(.f64 (/.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) 1) (/.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(.f64 (/.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)) (/.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) (cbrt.f64 (expm1.f64 (*.f64 a eps)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)) (/.f64 (pow.f64 (exp.f64 eps) a) (cbrt.f64 (expm1.f64 (*.f64 a eps)))))
(/.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (cbrt.f64 (expm1.f64 (.f64 a eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 a eps))) 2) 1) (/.f64 (cbrt.f64 (exp.f64 (.f64 a eps))) (expm1.f64 (.f64 a eps))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 a eps))) 2) (sqrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 (cbrt.f64 (exp.f64 (.f64 a eps))) (sqrt.f64 (expm1.f64 (*.f64 a eps)))))
(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 (pow.f64 (exp.f64 eps) a) (sqrt.f64 (expm1.f64 (*.f64 a eps)))))
(/.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (sqrt.f64 (expm1.f64 (.f64 a eps)))) (sqrt.f64 (expm1.f64 (.f64 a eps))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 a eps))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2)) (cbrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (*.f64 a eps)))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps)))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) a)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a eps))) 2)))
(pow.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) 1)
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) 2)
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))) 3)
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(pow.f64 (/.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (.f64 a eps))) -1)
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(pow.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) 3) 1/3)
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(neg.f64 (/.f64 (exp.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (.f64 a eps)))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) 2))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))) 2))
(fabs.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps))))
(log.f64 (exp.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) 3))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(exp.f64 (-.f64 (.f64 a eps) (log.f64 (expm1.f64 (.f64 a eps)))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(exp.f64 (.f64 (-.f64 (.f64 a eps) (log.f64 (expm1.f64 (*.f64 a eps)))) 1))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps)))))
(/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 a eps)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 b eps)))) 1)
(/.f64 1 (*.f64 b eps))
(.f64 1 (/.f64 1 (.f64 b eps)))
(/.f64 1 (*.f64 b eps))
(.f64 (/.f64 1 (.f64 b eps)) 1)
(/.f64 1 (*.f64 b eps))
(.f64 (pow.f64 (.f64 b eps) -1/2) (pow.f64 (*.f64 b eps) -1/2))
(/.f64 1 (*.f64 b eps))
(.f64 (cbrt.f64 (/.f64 1 (.f64 b eps))) (cbrt.f64 (pow.f64 (*.f64 b eps) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 b eps) -2)) (cbrt.f64 (/.f64 1 (*.f64 b eps))))
(.f64 (cbrt.f64 (/.f64 1 (.f64 b eps))) (cbrt.f64 (pow.f64 (*.f64 b eps) -2)))
(*.f64 (pow.f64 b -1) (/.f64 1 eps))
(/.f64 1 (*.f64 b eps))
(*.f64 (pow.f64 b -1) (pow.f64 eps -1))
(/.f64 1 (*.f64 b eps))
(.f64 -1 (/.f64 -1 (.f64 b eps)))
(/.f64 1 (*.f64 b eps))
(*.f64 (pow.f64 eps -1) (pow.f64 b -1))
(/.f64 1 (*.f64 b eps))
(.f64 (pow.f64 (sqrt.f64 (.f64 b eps)) -1) (pow.f64 (sqrt.f64 (*.f64 b eps)) -1))
(pow.f64 (sqrt.f64 (*.f64 b eps)) -2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 b eps)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 b eps)) -1))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 b eps)) 2)) (/.f64 1 (cbrt.f64 (*.f64 b eps))))
(pow.f64 (*.f64 b eps) -1)
(/.f64 1 (*.f64 b eps))
(pow.f64 (/.f64 1 (*.f64 b eps)) 1)
(/.f64 1 (*.f64 b eps))
(pow.f64 (pow.f64 (*.f64 b eps) -1/2) 2)
(/.f64 1 (*.f64 b eps))
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 b eps))) 3)
(/.f64 1 (*.f64 b eps))
(pow.f64 (pow.f64 (*.f64 b eps) -3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 b eps) -3))
(sqrt.f64 (pow.f64 (*.f64 b eps) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 b eps))))
(/.f64 1 (*.f64 b eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 b eps)))))
(/.f64 1 (*.f64 b eps))
(cbrt.f64 (pow.f64 (*.f64 b eps) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 b eps))))
(/.f64 1 (*.f64 b eps))
(exp.f64 (neg.f64 (log.f64 (*.f64 b eps))))
(/.f64 1 (*.f64 b eps))
(exp.f64 (.f64 (log.f64 (.f64 b eps)) -1))
(/.f64 1 (*.f64 b eps))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 b eps))) 1))
(/.f64 1 (*.f64 b eps))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 b eps))))
(/.f64 1 (*.f64 b eps))

eval549.0ms (3.3%)

Compiler: Compiled 28923 to 16471 computations (43.1% saved)

prune301.0ms (1.8%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	992	6	998
Fresh	2	1	3
Picked	1	0	1
Done	2	5	7
Total	997	12	1009

Error

0.2b

Counts

1009 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.9b	(/.f64 (+.f64 a b) (*.f64 a b))
▶	48.8b	(/.f64 eps (*.f64 eps a))
	47.7b	(/.f64 eps (.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps 1/2))))))
✓	46.7b	(/.f64 eps (expm1.f64 (*.f64 a eps)))
✓	30.2b	(/.f64 1 b)
✓	35.6b	(/.f64 1 a)
	11.4b	(-.f64 (/.f64 (/.f64 (+.f64 b a) b) a) (*.f64 1/2 eps))
▶	29.9b	(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
▶	35.4b	(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
✓	3.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))
▶	4.2b	(+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
▶	62.1b	(*.f64 eps -1/2)

Compiler

Compiled 221 to 158 computations (28.5% saved)

localize86.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 1/6 eps) (.f64 1/4 eps))
✓	0.1b	(.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))
✓	0.3b	(*.f64 1/6 eps)
✓	1.0b	(-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps)))

Compiler

Compiled 101 to 70 computations (30.7% saved)

series4.0ms (0%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))
1.0ms	eps	@	0	(-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps)))
0.0ms	eps	@	inf	(-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps)))
0.0ms	b	@	inf	(.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))
0.0ms	b	@	-inf	(.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))

rewrite165.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1398×	`associate-*r/`
1042×	`associate-*l/`
642×	`associate-+l+`
328×	`associate-/r*`
292×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	289	34
2	3821	34

Stop Event

1×	node limit

Counts

4 → 402

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 eps) (.f64 eps -5/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 eps) (.f64 (.f64 eps -5/12) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 eps) (+.f64 (.f64 eps -5/12) (fma.f64 -5/12 eps (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 eps) (+.f64 (.f64 (.f64 eps -5/12) 1) (fma.f64 -5/12 eps (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 eps) (+.f64 (.f64 eps -5/12) (fma.f64 (.f64 eps -5/12) 1 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 eps) (+.f64 (.f64 (.f64 eps -5/12) 1) (fma.f64 (.f64 eps -5/12) 1 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 eps) (+.f64 (.f64 eps -5/12) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (sqrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 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#<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 1/6 eps)) (sqrt.f64 (.f64 1/6 eps)) (.f64 1/4 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 1/4 eps)) 2) (cbrt.f64 (.f64 1/4 eps)) (.f64 1/6 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 1/36 (.f64 eps eps))) (cbrt.f64 (.f64 1/6 eps)) (.f64 1/4 eps))))))

simplify179.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1594×	`associate-/l*`
1528×	`associate-r`
1266×	`associate-l`
890×	`+-commutative`
806×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	949	19034
1	2822	17790

Stop Event

1×	node limit

Counts

438 → 634

Calls

Call 1

Inputs
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(.f64 1/12 (.f64 eps b))
(.f64 1/12 (.f64 eps b))
(.f64 1/12 (.f64 eps b))
(.f64 1/12 (.f64 eps b))
(.f64 1/12 (.f64 eps b))
(.f64 1/12 (.f64 eps b))
(.f64 1/12 (.f64 eps b))
(.f64 1/12 (.f64 eps b))
(.f64 1/12 (.f64 eps b))
(.f64 1/12 (.f64 eps b))
(.f64 1/12 (.f64 eps b))
(.f64 1/12 (.f64 eps b))
(*.f64 5/12 eps)
(*.f64 5/12 eps)
(*.f64 5/12 eps)
(*.f64 5/12 eps)
(*.f64 5/12 eps)
(*.f64 5/12 eps)
(*.f64 5/12 eps)
(*.f64 5/12 eps)
(*.f64 5/12 eps)
(*.f64 5/12 eps)
(*.f64 5/12 eps)
(*.f64 5/12 eps)
(+.f64 (.f64 1/2 eps) (.f64 eps -5/12))
(+.f64 (.f64 1/2 eps) (.f64 (*.f64 eps -5/12) 1))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 eps -5/12) (fma.f64 -5/12 eps (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (.f64 eps -5/12) 1) (fma.f64 -5/12 eps (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 eps -5/12) (fma.f64 (.f64 eps -5/12) 1 (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (.f64 eps -5/12) 1) (fma.f64 (.f64 eps -5/12) 1 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 eps -5/12) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (sqrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (.f64 eps -5/12) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (sqrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 eps -5/12) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (cbrt.f64 (.f64 (.f64 eps eps) 25/144)) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (.f64 eps -5/12) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (cbrt.f64 (.f64 (.f64 eps eps) 25/144)) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 eps) 1/6) (neg.f64 (*.f64 1/4 eps))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1/6 eps) (neg.f64 (*.f64 1/4 eps))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1 (.f64 1/6 eps)) (neg.f64 (.f64 1/4 eps))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 1/6 eps))) (sqrt.f64 (.f64 1/6 eps))) (neg.f64 (*.f64 1/4 eps))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 1/36 (.f64 eps eps)))) (cbrt.f64 (.f64 1/6 eps))) (neg.f64 (.f64 1/4 eps))))
(+.f64 (.f64 1/2 eps) (+.f64 (neg.f64 (.f64 1/6 eps)) (*.f64 (neg.f64 eps) 1/4)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 eps) 1/6) (*.f64 (neg.f64 eps) 1/4)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1/6 eps) (*.f64 (neg.f64 eps) 1/4)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1 (.f64 1/6 eps)) (.f64 (neg.f64 eps) 1/4)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 1/6 eps))) (sqrt.f64 (.f64 1/6 eps))) (*.f64 (neg.f64 eps) 1/4)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 1/36 (.f64 eps eps)))) (cbrt.f64 (.f64 1/6 eps))) (.f64 (neg.f64 eps) 1/4)))
(+.f64 (.f64 1/2 eps) (+.f64 (neg.f64 (.f64 1/6 eps)) (*.f64 -1/4 eps)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 eps) 1/6) (*.f64 -1/4 eps)))
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(pow.f64 (sqrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))) 3)
(pow.f64 (*.f64 (pow.f64 eps 3) 125/1728) 1/3)
(sqrt.f64 (.f64 (.f64 eps eps) 25/144))
(log.f64 (pow.f64 (exp.f64 eps) 5/12))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))
(cbrt.f64 (*.f64 (pow.f64 eps 3) 125/1728))
(expm1.f64 (log1p.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))
(exp.f64 (log.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))
(fma.f64 eps 1/6 (*.f64 1/4 eps))
(fma.f64 eps 1/4 (*.f64 1/6 eps))
(fma.f64 1/6 eps (*.f64 1/4 eps))
(fma.f64 1/4 eps (*.f64 1/6 eps))
(fma.f64 1 (.f64 1/6 eps) (.f64 1/4 eps))
(fma.f64 1 (.f64 1/4 eps) (.f64 1/6 eps))
(fma.f64 (.f64 1/2 (sqrt.f64 eps)) (.f64 1/2 (sqrt.f64 eps)) (*.f64 1/6 eps))
(fma.f64 (sqrt.f64 (.f64 1/6 eps)) (sqrt.f64 (.f64 1/6 eps)) (*.f64 1/4 eps))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/4 eps)) 2) (cbrt.f64 (.f64 1/4 eps)) (*.f64 1/6 eps))
(fma.f64 (cbrt.f64 (.f64 1/36 (.f64 eps eps))) (cbrt.f64 (.f64 1/6 eps)) (.f64 1/4 eps))

Outputs
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(*.f64 1/12 eps)
(.f64 1/12 (.f64 eps b))
(.f64 eps (.f64 1/12 b))
(.f64 1/12 (.f64 eps b))
(.f64 eps (.f64 1/12 b))
(.f64 1/12 (.f64 eps b))
(.f64 eps (.f64 1/12 b))
(.f64 1/12 (.f64 eps b))
(.f64 eps (.f64 1/12 b))
(.f64 1/12 (.f64 eps b))
(.f64 eps (.f64 1/12 b))
(.f64 1/12 (.f64 eps b))
(.f64 eps (.f64 1/12 b))
(.f64 1/12 (.f64 eps b))
(.f64 eps (.f64 1/12 b))
(.f64 1/12 (.f64 eps b))
(.f64 eps (.f64 1/12 b))
(.f64 1/12 (.f64 eps b))
(.f64 eps (.f64 1/12 b))
(.f64 1/12 (.f64 eps b))
(.f64 eps (.f64 1/12 b))
(.f64 1/12 (.f64 eps b))
(.f64 eps (.f64 1/12 b))
(.f64 1/12 (.f64 eps b))
(.f64 eps (.f64 1/12 b))
(*.f64 5/12 eps)
(*.f64 eps 5/12)
(*.f64 5/12 eps)
(*.f64 eps 5/12)
(*.f64 5/12 eps)
(*.f64 eps 5/12)
(*.f64 5/12 eps)
(*.f64 eps 5/12)
(*.f64 5/12 eps)
(*.f64 eps 5/12)
(*.f64 5/12 eps)
(*.f64 eps 5/12)
(*.f64 5/12 eps)
(*.f64 eps 5/12)
(*.f64 5/12 eps)
(*.f64 eps 5/12)
(*.f64 5/12 eps)
(*.f64 eps 5/12)
(*.f64 5/12 eps)
(*.f64 eps 5/12)
(*.f64 5/12 eps)
(*.f64 eps 5/12)
(*.f64 5/12 eps)
(*.f64 eps 5/12)
(+.f64 (.f64 1/2 eps) (.f64 eps -5/12))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (.f64 (*.f64 eps -5/12) 1))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 eps -5/12) (fma.f64 -5/12 eps (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))
(+.f64 (.f64 1/12 eps) (fma.f64 -5/12 eps (.f64 eps 5/12)))
(fma.f64 eps -5/12 (+.f64 (.f64 1/12 eps) (.f64 eps 5/12)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (.f64 eps -5/12) 1) (fma.f64 -5/12 eps (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps)))))
(+.f64 (.f64 1/12 eps) (fma.f64 -5/12 eps (.f64 eps 5/12)))
(fma.f64 eps -5/12 (+.f64 (.f64 1/12 eps) (.f64 eps 5/12)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 eps -5/12) (fma.f64 (.f64 eps -5/12) 1 (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps)))))
(+.f64 (.f64 1/12 eps) (fma.f64 -5/12 eps (.f64 eps 5/12)))
(fma.f64 eps -5/12 (+.f64 (.f64 1/12 eps) (.f64 eps 5/12)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (.f64 eps -5/12) 1) (fma.f64 (.f64 eps -5/12) 1 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))
(+.f64 (.f64 1/12 eps) (fma.f64 -5/12 eps (.f64 eps 5/12)))
(fma.f64 eps -5/12 (+.f64 (.f64 1/12 eps) (.f64 eps 5/12)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 eps -5/12) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (sqrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))
(+.f64 (.f64 1/12 eps) (fma.f64 -5/12 eps (.f64 eps 5/12)))
(fma.f64 eps -5/12 (+.f64 (.f64 1/12 eps) (.f64 eps 5/12)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (.f64 eps -5/12) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (sqrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps)))))
(+.f64 (.f64 1/12 eps) (fma.f64 -5/12 eps (.f64 eps 5/12)))
(fma.f64 eps -5/12 (+.f64 (.f64 1/12 eps) (.f64 eps 5/12)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 eps -5/12) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (cbrt.f64 (.f64 (.f64 eps eps) 25/144)) (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))
(+.f64 (.f64 1/12 eps) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps 5/12))) (cbrt.f64 (.f64 (.f64 eps eps) 25/144)) (*.f64 eps 5/12)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps 5/12))) (cbrt.f64 (.f64 (.f64 eps eps) 25/144)) (.f64 eps 5/12)) (*.f64 1/12 eps))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (.f64 eps -5/12) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))) (cbrt.f64 (.f64 (.f64 eps eps) 25/144)) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps)))))
(+.f64 (.f64 1/12 eps) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps 5/12))) (cbrt.f64 (.f64 (.f64 eps eps) 25/144)) (*.f64 eps 5/12)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps 5/12))) (cbrt.f64 (.f64 (.f64 eps eps) 25/144)) (.f64 eps 5/12)) (*.f64 1/12 eps))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 eps) 1/6) (neg.f64 (*.f64 1/4 eps))))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1/6 eps) (neg.f64 (*.f64 1/4 eps))))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1 (.f64 1/6 eps)) (neg.f64 (.f64 1/4 eps))))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 1/6 eps))) (sqrt.f64 (.f64 1/6 eps))) (neg.f64 (*.f64 1/4 eps))))
(fma.f64 1/2 eps (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2)) (.f64 eps -1/4)))
(+.f64 (.f64 eps 1/4) (neg.f64 (pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 1/36 (.f64 eps eps)))) (cbrt.f64 (.f64 1/6 eps))) (neg.f64 (.f64 1/4 eps))))
(fma.f64 1/2 eps (fma.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 eps eps) 1/36))) (cbrt.f64 (.f64 eps 1/6)) (.f64 eps -1/4)))
(+.f64 (.f64 eps 1/4) (.f64 (cbrt.f64 (.f64 eps (.f64 eps 1/36))) (neg.f64 (cbrt.f64 (*.f64 eps 1/6)))))
(+.f64 (.f64 1/2 eps) (+.f64 (neg.f64 (.f64 1/6 eps)) (*.f64 (neg.f64 eps) 1/4)))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 eps) 1/6) (*.f64 (neg.f64 eps) 1/4)))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1/6 eps) (*.f64 (neg.f64 eps) 1/4)))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1 (.f64 1/6 eps)) (.f64 (neg.f64 eps) 1/4)))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 1/6 eps))) (sqrt.f64 (.f64 1/6 eps))) (*.f64 (neg.f64 eps) 1/4)))
(fma.f64 1/2 eps (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2)) (.f64 eps -1/4)))
(+.f64 (.f64 eps 1/4) (neg.f64 (pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 1/36 (.f64 eps eps)))) (cbrt.f64 (.f64 1/6 eps))) (.f64 (neg.f64 eps) 1/4)))
(fma.f64 1/2 eps (fma.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 eps eps) 1/36))) (cbrt.f64 (.f64 eps 1/6)) (.f64 eps -1/4)))
(+.f64 (.f64 eps 1/4) (.f64 (cbrt.f64 (.f64 eps (.f64 eps 1/36))) (neg.f64 (cbrt.f64 (*.f64 eps 1/6)))))
(+.f64 (.f64 1/2 eps) (+.f64 (neg.f64 (.f64 1/6 eps)) (*.f64 -1/4 eps)))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 eps) 1/6) (*.f64 -1/4 eps)))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1/6 eps) (*.f64 -1/4 eps)))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1 (.f64 1/6 eps)) (.f64 -1/4 eps)))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 1/6 eps))) (sqrt.f64 (.f64 1/6 eps))) (*.f64 -1/4 eps)))
(fma.f64 1/2 eps (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2)) (.f64 eps -1/4)))
(+.f64 (.f64 eps 1/4) (neg.f64 (pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 1/36 (.f64 eps eps)))) (cbrt.f64 (.f64 1/6 eps))) (.f64 -1/4 eps)))
(fma.f64 1/2 eps (fma.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 eps eps) 1/36))) (cbrt.f64 (.f64 eps 1/6)) (.f64 eps -1/4)))
(+.f64 (.f64 eps 1/4) (.f64 (cbrt.f64 (.f64 eps (.f64 eps 1/36))) (neg.f64 (cbrt.f64 (*.f64 eps 1/6)))))
(+.f64 (.f64 1/2 eps) (+.f64 (neg.f64 (.f64 1/6 eps)) (.f64 -1 (.f64 1/4 eps))))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 eps) 1/6) (.f64 -1 (.f64 1/4 eps))))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1/6 eps) (.f64 -1 (.f64 1/4 eps))))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1 (.f64 1/6 eps)) (.f64 -1 (*.f64 1/4 eps))))
(*.f64 1/12 eps)
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 1/6 eps))) (sqrt.f64 (.f64 1/6 eps))) (.f64 -1 (.f64 1/4 eps))))
(fma.f64 1/2 eps (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2)) (.f64 eps -1/4)))
(+.f64 (.f64 eps 1/4) (neg.f64 (pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 1/36 (.f64 eps eps)))) (cbrt.f64 (.f64 1/6 eps))) (.f64 -1 (*.f64 1/4 eps))))
(fma.f64 1/2 eps (fma.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 eps eps) 1/36))) (cbrt.f64 (.f64 eps 1/6)) (.f64 eps -1/4)))
(+.f64 (.f64 eps 1/4) (.f64 (cbrt.f64 (.f64 eps (.f64 eps 1/36))) (neg.f64 (cbrt.f64 (*.f64 eps 1/6)))))
(+.f64 (.f64 1/2 eps) (+.f64 (neg.f64 (.f64 1/6 eps)) (.f64 (neg.f64 (.f64 1/2 (sqrt.f64 eps))) (*.f64 1/2 (sqrt.f64 eps)))))
(fma.f64 1/2 eps (fma.f64 -1/6 eps (.f64 (.f64 1/2 (sqrt.f64 eps)) (*.f64 -1/2 (sqrt.f64 eps)))))
(fma.f64 1/2 eps (fma.f64 -1/6 eps (.f64 1/2 (.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) -1/2)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 eps) 1/6) (.f64 (neg.f64 (.f64 1/2 (sqrt.f64 eps))) (*.f64 1/2 (sqrt.f64 eps)))))
(fma.f64 1/2 eps (fma.f64 -1/6 eps (.f64 (.f64 1/2 (sqrt.f64 eps)) (*.f64 -1/2 (sqrt.f64 eps)))))
(fma.f64 1/2 eps (fma.f64 -1/6 eps (.f64 1/2 (.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) -1/2)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1/6 eps) (.f64 (neg.f64 (.f64 1/2 (sqrt.f64 eps))) (*.f64 1/2 (sqrt.f64 eps)))))
(fma.f64 1/2 eps (fma.f64 -1/6 eps (.f64 (.f64 1/2 (sqrt.f64 eps)) (*.f64 -1/2 (sqrt.f64 eps)))))
(fma.f64 1/2 eps (fma.f64 -1/6 eps (.f64 1/2 (.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) -1/2)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1 (.f64 1/6 eps)) (.f64 (neg.f64 (.f64 1/2 (sqrt.f64 eps))) (.f64 1/2 (sqrt.f64 eps)))))
(fma.f64 1/2 eps (fma.f64 -1/6 eps (.f64 (.f64 1/2 (sqrt.f64 eps)) (*.f64 -1/2 (sqrt.f64 eps)))))
(fma.f64 1/2 eps (fma.f64 -1/6 eps (.f64 1/2 (.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) -1/2)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 1/6 eps))) (sqrt.f64 (.f64 1/6 eps))) (.f64 (neg.f64 (.f64 1/2 (sqrt.f64 eps))) (*.f64 1/2 (sqrt.f64 eps)))))
(fma.f64 1/2 eps (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2)) (.f64 (.f64 1/2 (sqrt.f64 eps)) (.f64 -1/2 (sqrt.f64 eps)))))
(fma.f64 1/2 eps (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2)) (.f64 1/2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) -1/2)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 1/36 (.f64 eps eps)))) (cbrt.f64 (.f64 1/6 eps))) (.f64 (neg.f64 (.f64 1/2 (sqrt.f64 eps))) (.f64 1/2 (sqrt.f64 eps)))))
(fma.f64 1/2 eps (fma.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 eps eps) 1/36))) (cbrt.f64 (.f64 eps 1/6)) (.f64 (.f64 1/2 (sqrt.f64 eps)) (.f64 -1/2 (sqrt.f64 eps)))))
(fma.f64 1/2 eps (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps (.f64 eps 1/36)))) (cbrt.f64 (.f64 eps 1/6)) (.f64 1/2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) -1/2)))))
(+.f64 (.f64 1/2 eps) (+.f64 (neg.f64 (.f64 1/6 eps)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 1/4 eps)) 2)) (cbrt.f64 (*.f64 1/4 eps)))))
(fma.f64 1/2 eps (fma.f64 -1/6 eps (.f64 (cbrt.f64 (.f64 eps 1/4)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/4)) 2)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 eps) 1/6) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 1/4 eps)) 2)) (cbrt.f64 (*.f64 1/4 eps)))))
(fma.f64 1/2 eps (fma.f64 -1/6 eps (.f64 (cbrt.f64 (.f64 eps 1/4)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/4)) 2)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1/6 eps) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 1/4 eps)) 2)) (cbrt.f64 (*.f64 1/4 eps)))))
(fma.f64 1/2 eps (fma.f64 -1/6 eps (.f64 (cbrt.f64 (.f64 eps 1/4)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/4)) 2)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1 (.f64 1/6 eps)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 1/4 eps)) 2)) (cbrt.f64 (.f64 1/4 eps)))))
(fma.f64 1/2 eps (fma.f64 -1/6 eps (.f64 (cbrt.f64 (.f64 eps 1/4)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 eps 1/4)) 2)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 1/6 eps))) (sqrt.f64 (.f64 1/6 eps))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 1/4 eps)) 2)) (cbrt.f64 (*.f64 1/4 eps)))))
(fma.f64 1/2 eps (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2)) (.f64 (cbrt.f64 (.f64 eps 1/4)) (neg.f64 (pow.f64 (cbrt.f64 (.f64 eps 1/4)) 2)))))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 1/36 (.f64 eps eps)))) (cbrt.f64 (.f64 1/6 eps))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 1/4 eps)) 2)) (cbrt.f64 (.f64 1/4 eps)))))
(fma.f64 1/2 eps (fma.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 eps eps) 1/36))) (cbrt.f64 (.f64 eps 1/6)) (.f64 (cbrt.f64 (.f64 eps 1/4)) (neg.f64 (pow.f64 (cbrt.f64 (.f64 eps 1/4)) 2)))))
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(/.f64 (.f64 (cbrt.f64 (.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)) (.f64 eps -1/12))) (cbrt.f64 (.f64 (.f64 eps eps) 25/144))) (cbrt.f64 (.f64 eps -1/12)))
(/.f64 (cbrt.f64 (.f64 (.f64 eps eps) 25/144)) (/.f64 (cbrt.f64 (.f64 eps -1/12)) (cbrt.f64 (.f64 (.f64 eps 5/12) (.f64 eps -1/12)))))
(/.f64 (cbrt.f64 (.f64 (.f64 eps 5/12) (.f64 eps -1/12))) (/.f64 (cbrt.f64 (.f64 eps -1/12)) (cbrt.f64 (.f64 (.f64 eps eps) 25/144))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 1/216 (pow.f64 eps 3)) (.f64 1/64 (pow.f64 eps 3)))) (cbrt.f64 (.f64 (.f64 eps eps) 25/144))) (cbrt.f64 (+.f64 (.f64 1/36 (.f64 eps eps)) (.f64 (.f64 1/4 eps) (-.f64 (.f64 1/4 eps) (*.f64 1/6 eps))))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 eps 3) 35/1728)) (/.f64 (cbrt.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 (.f64 eps 1/4) (.f64 1/12 eps)))) (cbrt.f64 (.f64 (*.f64 eps eps) 25/144))))
(/.f64 (cbrt.f64 (.f64 (.f64 eps eps) 25/144)) (/.f64 (cbrt.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 1/4 (.f64 eps (.f64 1/12 eps))))) (cbrt.f64 (*.f64 (pow.f64 eps 3) 35/1728))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 1/36 (.f64 eps eps)) (.f64 1/36 (.f64 eps eps))) (.f64 (.f64 1/16 (.f64 eps eps)) (.f64 1/16 (.f64 eps eps)))) (/.f64 1 (.f64 eps -1/12))) (+.f64 (.f64 1/16 (.f64 eps eps)) (.f64 1/36 (.f64 eps eps))))
(/.f64 (.f64 (.f64 (.f64 eps eps) 13/144) (-.f64 (.f64 (.f64 eps eps) 1/36) (.f64 (.f64 eps eps) 1/16))) (/.f64 (.f64 (.f64 eps eps) 13/144) (/.f64 1 (.f64 eps -1/12))))
(/.f64 (/.f64 -12 eps) (/.f64 (.f64 (.f64 eps eps) 13/144) (-.f64 (.f64 1/1296 (.f64 eps (pow.f64 eps 3))) (.f64 (.f64 eps (pow.f64 eps 3)) 1/256))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/36 (.f64 eps eps)) 3) (pow.f64 (.f64 1/16 (.f64 eps eps)) 3)) (/.f64 1 (.f64 eps -1/12))) (+.f64 (.f64 (.f64 1/36 (.f64 eps eps)) (.f64 1/36 (.f64 eps eps))) (+.f64 (.f64 (.f64 1/16 (.f64 eps eps)) (.f64 1/16 (.f64 eps eps))) (.f64 (.f64 1/36 (.f64 eps eps)) (.f64 1/16 (*.f64 eps eps))))))
(/.f64 (.f64 (/.f64 1 (.f64 eps -1/12)) (-.f64 (.f64 1/46656 (pow.f64 (.f64 eps eps) 3)) (.f64 1/4096 (pow.f64 (.f64 eps eps) 3)))) (+.f64 (.f64 1/1296 (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (.f64 (.f64 eps eps) 1/16) (.f64 (*.f64 eps eps) 13/144))))
(/.f64 (.f64 (/.f64 -12 eps) (-.f64 (.f64 1/46656 (pow.f64 (.f64 eps eps) 3)) (.f64 1/4096 (pow.f64 (.f64 eps eps) 3)))) (+.f64 (.f64 1/1296 (.f64 eps (pow.f64 eps 3))) (.f64 (.f64 1/16 (.f64 eps (pow.f64 eps 3))) 13/144)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 1/216 (pow.f64 eps 3)) (.f64 1/216 (pow.f64 eps 3))) (.f64 (.f64 1/64 (pow.f64 eps 3)) (.f64 1/64 (pow.f64 eps 3)))) (/.f64 1 (+.f64 (.f64 1/36 (.f64 eps eps)) (.f64 (.f64 1/4 eps) (-.f64 (.f64 1/4 eps) (.f64 1/6 eps)))))) (-.f64 (.f64 1/216 (pow.f64 eps 3)) (*.f64 1/64 (pow.f64 eps 3))))
(/.f64 (.f64 (.f64 (pow.f64 eps 3) 35/1728) (.f64 (pow.f64 eps 3) -19/1728)) (/.f64 (.f64 (pow.f64 eps 3) -19/1728) (/.f64 1 (fma.f64 1/36 (.f64 eps eps) (.f64 (.f64 eps 1/4) (.f64 1/12 eps))))))
(/.f64 (.f64 (/.f64 (pow.f64 eps 3) (/.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 1/4 (.f64 eps (.f64 1/12 eps)))) 35/1728)) (.f64 (pow.f64 eps 3) -19/1728)) (*.f64 (pow.f64 eps 3) -19/1728))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/216 (pow.f64 eps 3)) 3) (pow.f64 (.f64 1/64 (pow.f64 eps 3)) 3)) (/.f64 1 (+.f64 (.f64 1/36 (.f64 eps eps)) (.f64 (.f64 1/4 eps) (-.f64 (.f64 1/4 eps) (.f64 1/6 eps)))))) (+.f64 (.f64 (.f64 1/216 (pow.f64 eps 3)) (.f64 1/216 (pow.f64 eps 3))) (-.f64 (.f64 (.f64 1/64 (pow.f64 eps 3)) (.f64 1/64 (pow.f64 eps 3))) (.f64 (.f64 1/216 (pow.f64 eps 3)) (.f64 1/64 (pow.f64 eps 3))))))
(/.f64 (.f64 (/.f64 1 (fma.f64 1/36 (.f64 eps eps) (.f64 (.f64 eps 1/4) (.f64 1/12 eps)))) (+.f64 (.f64 1/10077696 (pow.f64 (pow.f64 eps 3) 3)) (.f64 1/262144 (pow.f64 (pow.f64 eps 3) 3)))) (+.f64 (.f64 1/46656 (.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (.f64 (.f64 (pow.f64 eps 3) 1/64) (-.f64 (.f64 (pow.f64 eps 3) 1/64) (*.f64 (pow.f64 eps 3) 1/216)))))
(/.f64 (/.f64 1 (fma.f64 1/36 (.f64 eps eps) (.f64 1/4 (.f64 eps (.f64 1/12 eps))))) (/.f64 (+.f64 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 eps 3) 1/46656)) (.f64 (.f64 (pow.f64 eps 3) 1/64) (-.f64 (.f64 (pow.f64 eps 3) 1/64) (.f64 (pow.f64 eps 3) 1/216)))) (+.f64 (.f64 1/10077696 (pow.f64 (pow.f64 eps 3) 3)) (.f64 (pow.f64 (pow.f64 eps 3) 3) 1/262144))))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)) (.f64 eps -1/12)) eps) -1/12)
(*.f64 eps 5/12)
(/.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)) (.f64 eps -1/12)) 1) (*.f64 eps -1/12))
(*.f64 eps 5/12)
(/.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)) (.f64 eps -1/12)) (sqrt.f64 (.f64 eps -1/12))) (sqrt.f64 (.f64 eps -1/12)))
(/.f64 (/.f64 (.f64 (.f64 eps 5/12) (.f64 eps -1/12)) (sqrt.f64 (.f64 eps -1/12))) (sqrt.f64 (*.f64 eps -1/12)))
(/.f64 (.f64 eps 5/12) (/.f64 (.f64 (sqrt.f64 (.f64 eps -1/12)) (sqrt.f64 (.f64 eps -1/12))) (*.f64 eps -1/12)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)) (.f64 eps -1/12)) (.f64 (cbrt.f64 (.f64 eps -1/12)) (cbrt.f64 (.f64 eps -1/12)))) (cbrt.f64 (.f64 eps -1/12)))
(/.f64 (.f64 (.f64 eps 5/12) (.f64 eps -1/12)) (.f64 (cbrt.f64 (.f64 eps -1/12)) (.f64 (cbrt.f64 (.f64 eps -1/12)) (cbrt.f64 (.f64 eps -1/12)))))
(/.f64 (.f64 eps 5/12) (/.f64 (.f64 (cbrt.f64 (.f64 eps -1/12)) (.f64 (cbrt.f64 (.f64 eps -1/12)) (cbrt.f64 (.f64 eps -1/12)))) (*.f64 eps -1/12)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)) (.f64 eps -1/12)) (+.f64 (.f64 1/2 (sqrt.f64 eps)) (sqrt.f64 (.f64 1/6 eps)))) (-.f64 (sqrt.f64 (.f64 1/6 eps)) (.f64 1/2 (sqrt.f64 eps))))
(/.f64 (.f64 (.f64 eps 5/12) (.f64 eps -1/12)) (.f64 (-.f64 (sqrt.f64 (.f64 eps 1/6)) (.f64 1/2 (sqrt.f64 eps))) (fma.f64 1/2 (sqrt.f64 eps) (sqrt.f64 (*.f64 eps 1/6)))))
(/.f64 (.f64 (.f64 eps 5/12) (.f64 eps -1/12)) (.f64 (fma.f64 1/2 (sqrt.f64 eps) (sqrt.f64 (.f64 eps 1/6))) (+.f64 (sqrt.f64 (.f64 eps 1/6)) (*.f64 (sqrt.f64 eps) -1/2))))
(/.f64 (/.f64 (+.f64 (.f64 1/216 (pow.f64 eps 3)) (.f64 1/64 (pow.f64 eps 3))) 1) (+.f64 (.f64 1/36 (.f64 eps eps)) (.f64 (.f64 1/4 eps) (-.f64 (.f64 1/4 eps) (.f64 1/6 eps)))))
(/.f64 (.f64 (pow.f64 eps 3) 35/1728) (fma.f64 1/36 (.f64 eps eps) (.f64 (.f64 eps 1/4) (*.f64 1/12 eps))))
(/.f64 (pow.f64 eps 3) (/.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 1/4 (.f64 eps (.f64 1/12 eps)))) 35/1728))
(/.f64 (/.f64 (+.f64 (.f64 1/216 (pow.f64 eps 3)) (.f64 1/64 (pow.f64 eps 3))) (sqrt.f64 (+.f64 (.f64 1/36 (.f64 eps eps)) (.f64 (.f64 1/4 eps) (-.f64 (.f64 1/4 eps) (.f64 1/6 eps)))))) (sqrt.f64 (+.f64 (.f64 1/36 (.f64 eps eps)) (.f64 (.f64 1/4 eps) (-.f64 (.f64 1/4 eps) (.f64 1/6 eps))))))
(/.f64 (/.f64 (.f64 (pow.f64 eps 3) 35/1728) (sqrt.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 (.f64 eps 1/4) (.f64 1/12 eps))))) (sqrt.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 (.f64 eps 1/4) (*.f64 1/12 eps)))))
(/.f64 (pow.f64 eps 3) (/.f64 (.f64 (sqrt.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 1/4 (.f64 eps (.f64 1/12 eps))))) (sqrt.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 1/4 (.f64 eps (*.f64 1/12 eps)))))) 35/1728))
(/.f64 (/.f64 (+.f64 (.f64 1/216 (pow.f64 eps 3)) (.f64 1/64 (pow.f64 eps 3))) (.f64 (cbrt.f64 (+.f64 (.f64 1/36 (.f64 eps eps)) (.f64 (.f64 1/4 eps) (-.f64 (.f64 1/4 eps) (.f64 1/6 eps))))) (cbrt.f64 (+.f64 (.f64 1/36 (.f64 eps eps)) (.f64 (.f64 1/4 eps) (-.f64 (.f64 1/4 eps) (.f64 1/6 eps))))))) (cbrt.f64 (+.f64 (.f64 1/36 (.f64 eps eps)) (.f64 (.f64 1/4 eps) (-.f64 (.f64 1/4 eps) (*.f64 1/6 eps))))))
(/.f64 (.f64 (pow.f64 eps 3) 35/1728) (.f64 (cbrt.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 (.f64 eps 1/4) (.f64 1/12 eps)))) (.f64 (cbrt.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 (.f64 eps 1/4) (.f64 1/12 eps)))) (cbrt.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 (.f64 eps 1/4) (*.f64 1/12 eps)))))))
(/.f64 (.f64 (pow.f64 eps 3) 35/1728) (.f64 (cbrt.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 1/4 (.f64 eps (.f64 1/12 eps))))) (.f64 (cbrt.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 1/4 (.f64 eps (.f64 1/12 eps))))) (cbrt.f64 (fma.f64 1/36 (.f64 eps eps) (.f64 1/4 (.f64 eps (*.f64 1/12 eps))))))))
(pow.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)) 1)
(*.f64 eps 5/12)
(pow.f64 (sqrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))) 2)
(*.f64 eps 5/12)
(pow.f64 (cbrt.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))) 3)
(*.f64 eps 5/12)
(pow.f64 (*.f64 (pow.f64 eps 3) 125/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 eps 3) 125/1728))
(sqrt.f64 (.f64 (.f64 eps eps) 25/144))
(log.f64 (pow.f64 (exp.f64 eps) 5/12))
(*.f64 5/12 (log.f64 (exp.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps)))))
(*.f64 eps 5/12)
(cbrt.f64 (*.f64 (pow.f64 eps 3) 125/1728))
(expm1.f64 (log1p.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))
(*.f64 eps 5/12)
(exp.f64 (log.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))
(*.f64 eps 5/12)
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps))) 1))
(*.f64 eps 5/12)
(log1p.f64 (expm1.f64 (+.f64 (.f64 1/6 eps) (.f64 1/4 eps))))
(*.f64 eps 5/12)
(fma.f64 eps 1/6 (*.f64 1/4 eps))
(*.f64 eps 5/12)
(fma.f64 eps 1/4 (*.f64 1/6 eps))
(*.f64 eps 5/12)
(fma.f64 1/6 eps (*.f64 1/4 eps))
(*.f64 eps 5/12)
(fma.f64 1/4 eps (*.f64 1/6 eps))
(*.f64 eps 5/12)
(fma.f64 1 (.f64 1/6 eps) (.f64 1/4 eps))
(*.f64 eps 5/12)
(fma.f64 1 (.f64 1/4 eps) (.f64 1/6 eps))
(*.f64 eps 5/12)
(fma.f64 (.f64 1/2 (sqrt.f64 eps)) (.f64 1/2 (sqrt.f64 eps)) (*.f64 1/6 eps))
(fma.f64 (.f64 1/2 (sqrt.f64 eps)) (.f64 1/2 (sqrt.f64 eps)) (*.f64 eps 1/6))
(fma.f64 (sqrt.f64 (.f64 1/6 eps)) (sqrt.f64 (.f64 1/6 eps)) (*.f64 1/4 eps))
(+.f64 (pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2) (.f64 eps 1/4))
(+.f64 (.f64 eps 1/4) (pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/4 eps)) 2) (cbrt.f64 (.f64 1/4 eps)) (*.f64 1/6 eps))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps 1/4)) 2) (cbrt.f64 (.f64 eps 1/4)) (*.f64 eps 1/6))
(fma.f64 (cbrt.f64 (.f64 1/36 (.f64 eps eps))) (cbrt.f64 (.f64 1/6 eps)) (.f64 1/4 eps))
(fma.f64 (cbrt.f64 (.f64 (.f64 eps eps) 1/36)) (cbrt.f64 (.f64 eps 1/6)) (.f64 eps 1/4))
(fma.f64 (cbrt.f64 (.f64 eps (.f64 eps 1/36))) (cbrt.f64 (.f64 eps 1/6)) (.f64 eps 1/4))

localize3.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.1b	(/.f64 eps (*.f64 eps a))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`add-sqr-sqrt`
1380×	`*-un-lft-identity`
1286×	`add-cube-cbrt`
1264×	`add-cbrt-cube`
1252×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	126	7
2	1758	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1484×	`times-frac`
1132×	`associate-r`
1006×	`distribute-lft-neg-in`
892×	`associate-l`
874×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	632
1	262	602
2	876	596
3	5810	596

Stop Event

1×	node limit

Counts

60 → 47

Calls

Call 1

Inputs
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
(.f64 eps (/.f64 1 (.f64 eps a)))
(.f64 (/.f64 eps (.f64 eps a)) 1)
(.f64 1 (/.f64 eps (.f64 eps a)))
(*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a)))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (*.f64 eps a))))
(*.f64 (/.f64 1 (cbrt.f64 a)) (pow.f64 (/.f64 1 (cbrt.f64 a)) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 a)) 2) (/.f64 1 (cbrt.f64 a)))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 1 (*.f64 eps a))))
(.f64 (/.f64 1 (.f64 eps a)) eps)
(.f64 (neg.f64 eps) (/.f64 1 (.f64 a (neg.f64 eps))))
(*.f64 (/.f64 1 eps) (/.f64 eps a))
(.f64 (/.f64 1 (sqrt.f64 (.f64 eps a))) (/.f64 eps (sqrt.f64 (*.f64 eps a))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 eps a)) 2)) (/.f64 eps (cbrt.f64 (*.f64 eps a))))
(.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (.f64 eps a)))
(*.f64 (/.f64 (sqrt.f64 eps) eps) (/.f64 (sqrt.f64 eps) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (.f64 eps a)))
(*.f64 (/.f64 (sqrt.f64 eps) a) (/.f64 (sqrt.f64 eps) eps))
(.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (.f64 eps a)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 eps a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) (/.f64 (cbrt.f64 eps) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) a) (/.f64 (cbrt.f64 eps) eps))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (.f64 eps a))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 eps a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (.f64 eps a)) 2)) (/.f64 1 (cbrt.f64 a)))
(pow.f64 (/.f64 eps (*.f64 eps a)) 1)
(pow.f64 (/.f64 1 (sqrt.f64 a)) 2)
(pow.f64 (/.f64 1 (cbrt.f64 a)) 3)
(pow.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 3) 1/3)
(pow.f64 (/.f64 a 1) -1)
(neg.f64 (/.f64 eps (*.f64 a (neg.f64 eps))))
(sqrt.f64 (/.f64 1 (*.f64 a a)))
(log.f64 (exp.f64 (/.f64 eps (*.f64 eps a))))
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 3))
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 eps a))))
(exp.f64 (-.f64 0 (log.f64 a)))
(exp.f64 (*.f64 (-.f64 0 (log.f64 a)) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 eps a))))

Outputs
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
(/.f64 1 a)
(.f64 eps (/.f64 1 (.f64 eps a)))
(/.f64 1 a)
(.f64 (/.f64 eps (.f64 eps a)) 1)
(/.f64 1 a)
(.f64 1 (/.f64 eps (.f64 eps a)))
(/.f64 1 a)
(*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a)))
(pow.f64 (/.f64 1 (sqrt.f64 a)) 2)
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (*.f64 eps a))))
(/.f64 1 a)
(*.f64 (/.f64 1 (cbrt.f64 a)) (pow.f64 (/.f64 1 (cbrt.f64 a)) 2))
(/.f64 1 a)
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 a)) 2) (/.f64 1 (cbrt.f64 a)))
(/.f64 1 a)
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 1 (*.f64 eps a))))
(/.f64 1 a)
(.f64 (/.f64 1 (.f64 eps a)) eps)
(/.f64 1 a)
(.f64 (neg.f64 eps) (/.f64 1 (.f64 a (neg.f64 eps))))
(/.f64 1 a)
(*.f64 (/.f64 1 eps) (/.f64 eps a))
(/.f64 1 a)
(.f64 (/.f64 1 (sqrt.f64 (.f64 eps a))) (/.f64 eps (sqrt.f64 (*.f64 eps a))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 a eps))) (/.f64 eps (sqrt.f64 (*.f64 a eps))))
(/.f64 (/.f64 eps (sqrt.f64 (.f64 a eps))) (sqrt.f64 (.f64 a eps)))
(/.f64 eps (.f64 (sqrt.f64 (.f64 a eps)) (sqrt.f64 (*.f64 a eps))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 eps a)) 2)) (/.f64 eps (cbrt.f64 (*.f64 eps a))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 a eps)) 2)) (/.f64 eps (cbrt.f64 (*.f64 a eps))))
(/.f64 (/.f64 eps (cbrt.f64 (.f64 a eps))) (pow.f64 (cbrt.f64 (.f64 a eps)) 2))
(/.f64 eps (.f64 (pow.f64 (cbrt.f64 (.f64 a eps)) 2) (cbrt.f64 (*.f64 a eps))))
(.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (.f64 eps a)))
(/.f64 1 a)
(*.f64 (/.f64 (sqrt.f64 eps) eps) (/.f64 (sqrt.f64 eps) a))
(/.f64 1 a)
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (.f64 eps a)))
(/.f64 1 a)
(*.f64 (/.f64 (sqrt.f64 eps) a) (/.f64 (sqrt.f64 eps) eps))
(/.f64 1 a)
(.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (.f64 eps a)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 eps a))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 a eps)) 2)) (/.f64 eps (cbrt.f64 (*.f64 a eps))))
(/.f64 (/.f64 eps (cbrt.f64 (.f64 a eps))) (pow.f64 (cbrt.f64 (.f64 a eps)) 2))
(/.f64 eps (.f64 (pow.f64 (cbrt.f64 (.f64 a eps)) 2) (cbrt.f64 (*.f64 a eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) (/.f64 (cbrt.f64 eps) a))
(/.f64 1 a)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) a) (/.f64 (cbrt.f64 eps) eps))
(/.f64 1 a)
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (.f64 eps a))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 eps a))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 a eps))) (/.f64 eps (sqrt.f64 (*.f64 a eps))))
(/.f64 (/.f64 eps (sqrt.f64 (.f64 a eps))) (sqrt.f64 (.f64 a eps)))
(/.f64 eps (.f64 (sqrt.f64 (.f64 a eps)) (sqrt.f64 (*.f64 a eps))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (.f64 eps a)) 2)) (/.f64 1 (cbrt.f64 a)))
(.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (.f64 a eps)) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 a eps)) 2)) (cbrt.f64 a))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 (.f64 a eps)) 2)))
(pow.f64 (/.f64 eps (*.f64 eps a)) 1)
(/.f64 1 a)
(pow.f64 (/.f64 1 (sqrt.f64 a)) 2)
(pow.f64 (/.f64 1 (cbrt.f64 a)) 3)
(/.f64 1 a)
(pow.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 3) 1/3)
(/.f64 1 a)
(pow.f64 (/.f64 a 1) -1)
(/.f64 1 a)
(neg.f64 (/.f64 eps (*.f64 a (neg.f64 eps))))
(/.f64 1 a)
(sqrt.f64 (/.f64 1 (*.f64 a a)))
(sqrt.f64 (pow.f64 a -2))
(log.f64 (exp.f64 (/.f64 eps (*.f64 eps a))))
(/.f64 1 a)
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 3))
(/.f64 1 a)
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 eps a))))
(/.f64 1 a)
(exp.f64 (-.f64 0 (log.f64 a)))
(/.f64 1 a)
(exp.f64 (*.f64 (-.f64 0 (log.f64 a)) 1))
(/.f64 1 a)
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 eps a))))
(/.f64 1 a)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`add-sqr-sqrt`
1914×	`*-un-lft-identity`
1794×	`add-cube-cbrt`
1778×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	194	19
2	2434	19

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1310×	`associate-/r*`
796×	`fma-def`
752×	`associate-+r+`
676×	`distribute-lft-neg-in`
668×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1453
1	309	1333
2	1228	1297
3	3915	1297

Stop Event

1×	node limit

Counts

63 → 52

Calls

Call 1

Inputs
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
(+.f64 (/.f64 1 a) (.f64 (.f64 eps -1/2) 1))
(+.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps)) (fma.f64 (.f64 eps -1/2) 1 (*.f64 1/2 eps)))
(+.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps)) (fma.f64 (neg.f64 eps) 1/2 (.f64 1/2 eps)))
(+.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps)) (fma.f64 -1/2 eps (.f64 1/2 eps)))
(+.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 1/2 eps))) (sqrt.f64 (.f64 1/2 eps)) (.f64 1/2 eps)))
(+.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 eps))) (pow.f64 (cbrt.f64 (.f64 1/2 eps)) 2) (.f64 1/2 eps)))
(+.f64 (*.f64 eps -1/2) (/.f64 1 a))
(.f64 1 (-.f64 (/.f64 1 a) (.f64 1/2 eps)))
(.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps)) 1)
(.f64 (sqrt.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps))) (sqrt.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(.f64 (cbrt.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps))) 2) (cbrt.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(.f64 (-.f64 (pow.f64 a -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 a) (.f64 1/2 eps))))
(.f64 (-.f64 (pow.f64 a -3) (.f64 1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 a -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (*.f64 1/2 eps) a)))))
(.f64 (+.f64 (pow.f64 a -1/2) (sqrt.f64 (.f64 1/2 eps))) (-.f64 (pow.f64 a -1/2) (sqrt.f64 (*.f64 1/2 eps))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 a) (.f64 1/2 eps)) (-.f64 (pow.f64 a -2) (.f64 1/4 (*.f64 eps eps)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 a -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (.f64 1/2 eps) a))) (-.f64 (pow.f64 a -3) (.f64 1/8 (pow.f64 eps 3)))))
(/.f64 (-.f64 (pow.f64 a -2) (.f64 1/4 (.f64 eps eps))) (+.f64 (/.f64 1 a) (*.f64 1/2 eps)))
(/.f64 (-.f64 (pow.f64 a -3) (.f64 1/8 (pow.f64 eps 3))) (+.f64 (pow.f64 a -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (.f64 1/2 eps) a))))
(/.f64 (-.f64 (pow.f64 a -2) (.f64 (.f64 eps -1/2) (.f64 eps -1/2))) (-.f64 (/.f64 1 a) (.f64 eps -1/2)))
(/.f64 (+.f64 (pow.f64 a -3) (pow.f64 (.f64 eps -1/2) 3)) (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 eps -1/2) (.f64 eps -1/2)) (.f64 (/.f64 1 a) (.f64 eps -1/2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a -2) (.f64 1/4 (.f64 eps eps)))) (neg.f64 (+.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a -3) (.f64 1/8 (pow.f64 eps 3)))) (neg.f64 (+.f64 (pow.f64 a -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (.f64 1/2 eps) a)))))
(pow.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps)) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(exp.f64 (.f64 (log.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(fma.f64 1 (/.f64 1 a) (*.f64 eps -1/2))
(fma.f64 (pow.f64 a -1/2) (pow.f64 a -1/2) (*.f64 eps -1/2))
(fma.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 1 (cbrt.f64 a)) (*.f64 eps -1/2))

Outputs
(/.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 1 a))
(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 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(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 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(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 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(/.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 1 a))
(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 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(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 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(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 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (/.f64 1 a) (.f64 (.f64 eps -1/2) 1))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps)) (fma.f64 (.f64 eps -1/2) 1 (*.f64 1/2 eps)))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps)) (fma.f64 (neg.f64 eps) 1/2 (.f64 1/2 eps)))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps)) (fma.f64 -1/2 eps (.f64 1/2 eps)))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 1/2 eps))) (sqrt.f64 (.f64 1/2 eps)) (.f64 1/2 eps)))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 eps))) (pow.f64 (cbrt.f64 (.f64 1/2 eps)) 2) (.f64 1/2 eps)))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (*.f64 eps -1/2) (/.f64 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(.f64 1 (-.f64 (/.f64 1 a) (.f64 1/2 eps)))
(fma.f64 -1/2 eps (/.f64 1 a))
(.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps)) 1)
(fma.f64 -1/2 eps (/.f64 1 a))
(.f64 (sqrt.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps))) (sqrt.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(fma.f64 -1/2 eps (/.f64 1 a))
(.f64 (cbrt.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))) 2))
(fma.f64 -1/2 eps (/.f64 1 a))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps))) 2) (cbrt.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(fma.f64 -1/2 eps (/.f64 1 a))
(.f64 (-.f64 (pow.f64 a -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 a) (.f64 1/2 eps))))
(.f64 (+.f64 (pow.f64 a -2) (.f64 -1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 a) (.f64 eps 1/2))))
(/.f64 (-.f64 (pow.f64 a -2) (.f64 eps (.f64 eps 1/4))) (fma.f64 eps 1/2 (/.f64 1 a)))
(/.f64 (fma.f64 eps (*.f64 eps -1/4) (pow.f64 a -2)) (fma.f64 eps 1/2 (/.f64 1 a)))
(.f64 (-.f64 (pow.f64 a -3) (.f64 1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 a -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (*.f64 1/2 eps) a)))))
(.f64 (+.f64 (pow.f64 a -3) (.f64 -1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 a -2) (fma.f64 1/4 (*.f64 eps eps) (/.f64 1/2 (/.f64 a eps))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 a -3)) (fma.f64 (*.f64 -1/2 eps) (fma.f64 -1/2 eps (/.f64 -1 a)) (pow.f64 a -2)))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 a -3)) (fma.f64 eps (+.f64 (*.f64 eps 1/4) (/.f64 1/2 a)) (pow.f64 a -2)))
(.f64 (+.f64 (pow.f64 a -1/2) (sqrt.f64 (.f64 1/2 eps))) (-.f64 (pow.f64 a -1/2) (sqrt.f64 (*.f64 1/2 eps))))
(.f64 (+.f64 (sqrt.f64 (.f64 eps 1/2)) (pow.f64 a -1/2)) (-.f64 (pow.f64 a -1/2) (sqrt.f64 (*.f64 eps 1/2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 a) (.f64 1/2 eps)) (-.f64 (pow.f64 a -2) (.f64 1/4 (*.f64 eps eps)))))
(.f64 (+.f64 (pow.f64 a -2) (.f64 -1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 a) (.f64 eps 1/2))))
(/.f64 (-.f64 (pow.f64 a -2) (.f64 eps (.f64 eps 1/4))) (fma.f64 eps 1/2 (/.f64 1 a)))
(/.f64 (fma.f64 eps (*.f64 eps -1/4) (pow.f64 a -2)) (fma.f64 eps 1/2 (/.f64 1 a)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 a -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (.f64 1/2 eps) a))) (-.f64 (pow.f64 a -3) (.f64 1/8 (pow.f64 eps 3)))))
(.f64 (+.f64 (pow.f64 a -3) (.f64 -1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 a -2) (fma.f64 1/4 (*.f64 eps eps) (/.f64 1/2 (/.f64 a eps))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 a -3)) (fma.f64 (*.f64 -1/2 eps) (fma.f64 -1/2 eps (/.f64 -1 a)) (pow.f64 a -2)))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 a -3)) (fma.f64 eps (+.f64 (*.f64 eps 1/4) (/.f64 1/2 a)) (pow.f64 a -2)))
(/.f64 (-.f64 (pow.f64 a -2) (.f64 1/4 (.f64 eps eps))) (+.f64 (/.f64 1 a) (*.f64 1/2 eps)))
(.f64 (+.f64 (pow.f64 a -2) (.f64 -1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 a) (.f64 eps 1/2))))
(/.f64 (-.f64 (pow.f64 a -2) (.f64 eps (.f64 eps 1/4))) (fma.f64 eps 1/2 (/.f64 1 a)))
(/.f64 (fma.f64 eps (*.f64 eps -1/4) (pow.f64 a -2)) (fma.f64 eps 1/2 (/.f64 1 a)))
(/.f64 (-.f64 (pow.f64 a -3) (.f64 1/8 (pow.f64 eps 3))) (+.f64 (pow.f64 a -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (.f64 1/2 eps) a))))
(.f64 (+.f64 (pow.f64 a -3) (.f64 -1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 a -2) (fma.f64 1/4 (*.f64 eps eps) (/.f64 1/2 (/.f64 a eps))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 a -3)) (fma.f64 (*.f64 -1/2 eps) (fma.f64 -1/2 eps (/.f64 -1 a)) (pow.f64 a -2)))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 a -3)) (fma.f64 eps (+.f64 (*.f64 eps 1/4) (/.f64 1/2 a)) (pow.f64 a -2)))
(/.f64 (-.f64 (pow.f64 a -2) (.f64 (.f64 eps -1/2) (.f64 eps -1/2))) (-.f64 (/.f64 1 a) (.f64 eps -1/2)))
(.f64 (+.f64 (pow.f64 a -2) (.f64 -1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 a) (.f64 eps 1/2))))
(/.f64 (-.f64 (pow.f64 a -2) (.f64 eps (.f64 eps 1/4))) (fma.f64 eps 1/2 (/.f64 1 a)))
(/.f64 (fma.f64 eps (*.f64 eps -1/4) (pow.f64 a -2)) (fma.f64 eps 1/2 (/.f64 1 a)))
(/.f64 (+.f64 (pow.f64 a -3) (pow.f64 (.f64 eps -1/2) 3)) (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 eps -1/2) (.f64 eps -1/2)) (.f64 (/.f64 1 a) (.f64 eps -1/2)))))
(.f64 (+.f64 (pow.f64 a -3) (.f64 -1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 a -2) (fma.f64 1/4 (*.f64 eps eps) (/.f64 1/2 (/.f64 a eps))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 a -3)) (fma.f64 (*.f64 -1/2 eps) (fma.f64 -1/2 eps (/.f64 -1 a)) (pow.f64 a -2)))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 a -3)) (fma.f64 eps (+.f64 (*.f64 eps 1/4) (/.f64 1/2 a)) (pow.f64 a -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a -2) (.f64 1/4 (.f64 eps eps)))) (neg.f64 (+.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(.f64 (+.f64 (pow.f64 a -2) (.f64 -1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 a) (.f64 eps 1/2))))
(/.f64 (-.f64 (pow.f64 a -2) (.f64 eps (.f64 eps 1/4))) (fma.f64 eps 1/2 (/.f64 1 a)))
(/.f64 (fma.f64 eps (*.f64 eps -1/4) (pow.f64 a -2)) (fma.f64 eps 1/2 (/.f64 1 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a -3) (.f64 1/8 (pow.f64 eps 3)))) (neg.f64 (+.f64 (pow.f64 a -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (.f64 1/2 eps) a)))))
(.f64 (+.f64 (pow.f64 a -3) (.f64 -1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 a -2) (fma.f64 1/4 (*.f64 eps eps) (/.f64 1/2 (/.f64 a eps))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 a -3)) (fma.f64 (*.f64 -1/2 eps) (fma.f64 -1/2 eps (/.f64 -1 a)) (pow.f64 a -2)))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 a -3)) (fma.f64 eps (+.f64 (*.f64 eps 1/4) (/.f64 1/2 a)) (pow.f64 a -2)))
(pow.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps)) 1)
(fma.f64 -1/2 eps (/.f64 1 a))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))) 2)
(fma.f64 -1/2 eps (/.f64 1 a))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))) 3)
(fma.f64 -1/2 eps (/.f64 1 a))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps)) 3) 1/3)
(fma.f64 -1/2 eps (/.f64 1 a))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps)) 2))
(fma.f64 -1/2 eps (/.f64 1 a))
(log.f64 (exp.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(fma.f64 -1/2 eps (/.f64 1 a))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps)))))
(fma.f64 -1/2 eps (/.f64 1 a))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps)) 3))
(fma.f64 -1/2 eps (/.f64 1 a))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(fma.f64 -1/2 eps (/.f64 1 a))
(exp.f64 (log.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(fma.f64 -1/2 eps (/.f64 1 a))
(exp.f64 (.f64 (log.f64 (-.f64 (/.f64 1 a) (.f64 1/2 eps))) 1))
(fma.f64 -1/2 eps (/.f64 1 a))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 a) (*.f64 1/2 eps))))
(fma.f64 -1/2 eps (/.f64 1 a))
(fma.f64 1 (/.f64 1 a) (*.f64 eps -1/2))
(fma.f64 -1/2 eps (/.f64 1 a))
(fma.f64 (pow.f64 a -1/2) (pow.f64 a -1/2) (*.f64 eps -1/2))
(fma.f64 -1/2 eps (/.f64 1 a))
(fma.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 1 (cbrt.f64 a)) (*.f64 eps -1/2))
(fma.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 1 (cbrt.f64 a)) (*.f64 -1/2 eps))
(fma.f64 -1/2 eps (/.f64 (cbrt.f64 (pow.f64 a -2)) (cbrt.f64 a)))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`add-sqr-sqrt`
1914×	`*-un-lft-identity`
1794×	`add-cube-cbrt`
1778×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	194	19
2	2434	19

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1310×	`associate-/r*`
796×	`fma-def`
752×	`associate-+r+`
676×	`distribute-lft-neg-in`
668×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1453
1	309	1333
2	1228	1297
3	3915	1297

Stop Event

1×	node limit

Counts

63 → 52

Calls

Call 1

Inputs
(/.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))
(+.f64 (/.f64 1 b) (*.f64 eps -1/2))
(+.f64 (/.f64 1 b) (.f64 (.f64 eps -1/2) 1))
(+.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (fma.f64 (.f64 eps -1/2) 1 (*.f64 1/2 eps)))
(+.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (fma.f64 (neg.f64 eps) 1/2 (.f64 1/2 eps)))
(+.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (fma.f64 -1/2 eps (.f64 1/2 eps)))
(+.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 1/2 eps))) (sqrt.f64 (.f64 1/2 eps)) (.f64 1/2 eps)))
(+.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 eps))) (pow.f64 (cbrt.f64 (.f64 1/2 eps)) 2) (.f64 1/2 eps)))
(+.f64 (*.f64 eps -1/2) (/.f64 1 b))
(.f64 1 (-.f64 (/.f64 1 b) (.f64 1/2 eps)))
(.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps)) 1)
(.f64 (sqrt.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps))) (sqrt.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(.f64 (cbrt.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps))) 2) (cbrt.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(.f64 (-.f64 (pow.f64 b -3) (.f64 1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 b -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (*.f64 1/2 eps) b)))))
(.f64 (+.f64 (pow.f64 b -1/2) (sqrt.f64 (.f64 1/2 eps))) (-.f64 (pow.f64 b -1/2) (sqrt.f64 (*.f64 1/2 eps))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (-.f64 (pow.f64 b -2) (.f64 1/4 (*.f64 eps eps)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 b -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (.f64 1/2 eps) b))) (-.f64 (pow.f64 b -3) (.f64 1/8 (pow.f64 eps 3)))))
(/.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (+.f64 (/.f64 1 b) (*.f64 1/2 eps)))
(/.f64 (-.f64 (pow.f64 b -3) (.f64 1/8 (pow.f64 eps 3))) (+.f64 (pow.f64 b -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (.f64 1/2 eps) b))))
(/.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps -1/2) (.f64 eps -1/2))) (-.f64 (/.f64 1 b) (.f64 eps -1/2)))
(/.f64 (+.f64 (pow.f64 b -3) (pow.f64 (.f64 eps -1/2) 3)) (+.f64 (pow.f64 b -2) (-.f64 (.f64 (.f64 eps -1/2) (.f64 eps -1/2)) (.f64 (/.f64 1 b) (.f64 eps -1/2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps)))) (neg.f64 (+.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b -3) (.f64 1/8 (pow.f64 eps 3)))) (neg.f64 (+.f64 (pow.f64 b -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (.f64 1/2 eps) b)))))
(pow.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps)) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(exp.f64 (.f64 (log.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(fma.f64 1 (/.f64 1 b) (*.f64 eps -1/2))
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (*.f64 eps -1/2))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (*.f64 eps -1/2))

Outputs
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 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))
(+.f64 (/.f64 1 b) (*.f64 eps -1/2))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (/.f64 1 b) (.f64 (.f64 eps -1/2) 1))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (fma.f64 (.f64 eps -1/2) 1 (*.f64 1/2 eps)))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (fma.f64 (neg.f64 eps) 1/2 (.f64 1/2 eps)))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (fma.f64 -1/2 eps (.f64 1/2 eps)))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 1/2 eps))) (sqrt.f64 (.f64 1/2 eps)) (.f64 1/2 eps)))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 eps))) (pow.f64 (cbrt.f64 (.f64 1/2 eps)) 2) (.f64 1/2 eps)))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 (*.f64 eps -1/2) (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(.f64 1 (-.f64 (/.f64 1 b) (.f64 1/2 eps)))
(fma.f64 -1/2 eps (/.f64 1 b))
(.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps)) 1)
(fma.f64 -1/2 eps (/.f64 1 b))
(.f64 (sqrt.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps))) (sqrt.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(fma.f64 -1/2 eps (/.f64 1 b))
(.f64 (cbrt.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))) 2))
(fma.f64 -1/2 eps (/.f64 1 b))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps))) 2) (cbrt.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(fma.f64 -1/2 eps (/.f64 1 b))
(.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(.f64 (+.f64 (pow.f64 b -2) (.f64 -1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 eps 1/2))))
(/.f64 (-.f64 (pow.f64 b -2) (.f64 eps (.f64 eps 1/4))) (fma.f64 eps 1/2 (/.f64 1 b)))
(/.f64 (fma.f64 eps (*.f64 eps -1/4) (pow.f64 b -2)) (fma.f64 eps 1/2 (/.f64 1 b)))
(.f64 (-.f64 (pow.f64 b -3) (.f64 1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 b -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (*.f64 1/2 eps) b)))))
(.f64 (+.f64 (pow.f64 b -3) (.f64 -1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 b -2) (fma.f64 1/4 (*.f64 eps eps) (/.f64 1/2 (/.f64 b eps))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 (*.f64 -1/2 eps) (fma.f64 -1/2 eps (/.f64 -1 b)) (pow.f64 b -2)))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 eps (+.f64 (*.f64 eps 1/4) (/.f64 1/2 b)) (pow.f64 b -2)))
(.f64 (+.f64 (pow.f64 b -1/2) (sqrt.f64 (.f64 1/2 eps))) (-.f64 (pow.f64 b -1/2) (sqrt.f64 (*.f64 1/2 eps))))
(.f64 (+.f64 (sqrt.f64 (.f64 eps 1/2)) (pow.f64 b -1/2)) (-.f64 (pow.f64 b -1/2) (sqrt.f64 (*.f64 eps 1/2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (-.f64 (pow.f64 b -2) (.f64 1/4 (*.f64 eps eps)))))
(.f64 (+.f64 (pow.f64 b -2) (.f64 -1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 eps 1/2))))
(/.f64 (-.f64 (pow.f64 b -2) (.f64 eps (.f64 eps 1/4))) (fma.f64 eps 1/2 (/.f64 1 b)))
(/.f64 (fma.f64 eps (*.f64 eps -1/4) (pow.f64 b -2)) (fma.f64 eps 1/2 (/.f64 1 b)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 b -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (.f64 1/2 eps) b))) (-.f64 (pow.f64 b -3) (.f64 1/8 (pow.f64 eps 3)))))
(.f64 (+.f64 (pow.f64 b -3) (.f64 -1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 b -2) (fma.f64 1/4 (*.f64 eps eps) (/.f64 1/2 (/.f64 b eps))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 (*.f64 -1/2 eps) (fma.f64 -1/2 eps (/.f64 -1 b)) (pow.f64 b -2)))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 eps (+.f64 (*.f64 eps 1/4) (/.f64 1/2 b)) (pow.f64 b -2)))
(/.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps))) (+.f64 (/.f64 1 b) (*.f64 1/2 eps)))
(.f64 (+.f64 (pow.f64 b -2) (.f64 -1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 eps 1/2))))
(/.f64 (-.f64 (pow.f64 b -2) (.f64 eps (.f64 eps 1/4))) (fma.f64 eps 1/2 (/.f64 1 b)))
(/.f64 (fma.f64 eps (*.f64 eps -1/4) (pow.f64 b -2)) (fma.f64 eps 1/2 (/.f64 1 b)))
(/.f64 (-.f64 (pow.f64 b -3) (.f64 1/8 (pow.f64 eps 3))) (+.f64 (pow.f64 b -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (.f64 1/2 eps) b))))
(.f64 (+.f64 (pow.f64 b -3) (.f64 -1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 b -2) (fma.f64 1/4 (*.f64 eps eps) (/.f64 1/2 (/.f64 b eps))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 (*.f64 -1/2 eps) (fma.f64 -1/2 eps (/.f64 -1 b)) (pow.f64 b -2)))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 eps (+.f64 (*.f64 eps 1/4) (/.f64 1/2 b)) (pow.f64 b -2)))
(/.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps -1/2) (.f64 eps -1/2))) (-.f64 (/.f64 1 b) (.f64 eps -1/2)))
(.f64 (+.f64 (pow.f64 b -2) (.f64 -1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 eps 1/2))))
(/.f64 (-.f64 (pow.f64 b -2) (.f64 eps (.f64 eps 1/4))) (fma.f64 eps 1/2 (/.f64 1 b)))
(/.f64 (fma.f64 eps (*.f64 eps -1/4) (pow.f64 b -2)) (fma.f64 eps 1/2 (/.f64 1 b)))
(/.f64 (+.f64 (pow.f64 b -3) (pow.f64 (.f64 eps -1/2) 3)) (+.f64 (pow.f64 b -2) (-.f64 (.f64 (.f64 eps -1/2) (.f64 eps -1/2)) (.f64 (/.f64 1 b) (.f64 eps -1/2)))))
(.f64 (+.f64 (pow.f64 b -3) (.f64 -1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 b -2) (fma.f64 1/4 (*.f64 eps eps) (/.f64 1/2 (/.f64 b eps))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 (*.f64 -1/2 eps) (fma.f64 -1/2 eps (/.f64 -1 b)) (pow.f64 b -2)))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 eps (+.f64 (*.f64 eps 1/4) (/.f64 1/2 b)) (pow.f64 b -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 b -2) (.f64 1/4 (.f64 eps eps)))) (neg.f64 (+.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(.f64 (+.f64 (pow.f64 b -2) (.f64 -1/4 (.f64 eps eps))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 eps 1/2))))
(/.f64 (-.f64 (pow.f64 b -2) (.f64 eps (.f64 eps 1/4))) (fma.f64 eps 1/2 (/.f64 1 b)))
(/.f64 (fma.f64 eps (*.f64 eps -1/4) (pow.f64 b -2)) (fma.f64 eps 1/2 (/.f64 1 b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 b -3) (.f64 1/8 (pow.f64 eps 3)))) (neg.f64 (+.f64 (pow.f64 b -2) (+.f64 (.f64 1/4 (.f64 eps eps)) (/.f64 (.f64 1/2 eps) b)))))
(.f64 (+.f64 (pow.f64 b -3) (.f64 -1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 b -2) (fma.f64 1/4 (*.f64 eps eps) (/.f64 1/2 (/.f64 b eps))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 (*.f64 -1/2 eps) (fma.f64 -1/2 eps (/.f64 -1 b)) (pow.f64 b -2)))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 eps (+.f64 (*.f64 eps 1/4) (/.f64 1/2 b)) (pow.f64 b -2)))
(pow.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps)) 1)
(fma.f64 -1/2 eps (/.f64 1 b))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))) 2)
(fma.f64 -1/2 eps (/.f64 1 b))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))) 3)
(fma.f64 -1/2 eps (/.f64 1 b))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps)) 3) 1/3)
(fma.f64 -1/2 eps (/.f64 1 b))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps)) 2))
(fma.f64 -1/2 eps (/.f64 1 b))
(log.f64 (exp.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(fma.f64 -1/2 eps (/.f64 1 b))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps)))))
(fma.f64 -1/2 eps (/.f64 1 b))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps)) 3))
(fma.f64 -1/2 eps (/.f64 1 b))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(fma.f64 -1/2 eps (/.f64 1 b))
(exp.f64 (log.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(fma.f64 -1/2 eps (/.f64 1 b))
(exp.f64 (.f64 (log.f64 (-.f64 (/.f64 1 b) (.f64 1/2 eps))) 1))
(fma.f64 -1/2 eps (/.f64 1 b))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 1 (/.f64 1 b) (*.f64 eps -1/2))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (*.f64 eps -1/2))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (*.f64 eps -1/2))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (*.f64 -1/2 eps))
(fma.f64 -1/2 eps (/.f64 (cbrt.f64 (pow.f64 b -2)) (cbrt.f64 b)))

eval591.0ms (3.5%)

Compiler: Compiled 25669 to 18069 computations (29.6% saved)

prune337.0ms (2%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	782	3	785
Fresh	0	2	2
Picked	0	1	1
Done	1	8	9
Total	783	14	797

Error

0.2b

Counts

797 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.9b	(/.f64 (+.f64 a b) (*.f64 a b))
✓	48.8b	(/.f64 eps (*.f64 eps a))
	47.7b	(/.f64 eps (.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps 1/2))))))
✓	46.7b	(/.f64 eps (expm1.f64 (*.f64 a eps)))
✓	30.2b	(/.f64 1 b)
✓	35.6b	(/.f64 1 a)
	11.4b	(-.f64 (/.f64 (/.f64 (+.f64 b a) b) a) (*.f64 1/2 eps))
✓	29.9b	(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
✓	35.4b	(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
✓	3.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	4.2b	(+.f64 (.f64 eps (.f64 eps (*.f64 1/12 b))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
	50.3b	(+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (/.f64 (.f64 (.f64 (.f64 eps eps) 13/144) (-.f64 (.f64 (.f64 eps eps) 1/36) (.f64 (.f64 eps eps) 1/16))) (/.f64 (.f64 (.f64 eps eps) 13/144) (/.f64 1 (*.f64 eps -1/12))))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
	4.3b	(+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (sqrt.f64 (.f64 (*.f64 eps eps) 25/144))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
✓	62.1b	(*.f64 eps -1/2)

Compiler

Compiled 196 to 137 computations (30.1% saved)

regimes115.0ms (0.7%)

Counts

28 → 3

Calls

Call 1

Inputs
(*.f64 eps -1/2)
(/.f64 1 a)
(/.f64 1 b)
(/.f64 eps (*.f64 eps a))
(/.f64 eps (*.f64 eps b))
(*.f64 eps (/.f64 (/.f64 1 eps) b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
(/.f64 (+.f64 a b) (*.f64 a b))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(-.f64 (/.f64 (/.f64 (+.f64 b a) b) a) (*.f64 1/2 eps))
(/.f64 eps (.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps 1/2))))))
(+.f64 (.f64 eps (.f64 eps (*.f64 1/12 b))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (/.f64 (.f64 (.f64 (.f64 eps eps) 13/144) (-.f64 (.f64 (.f64 eps eps) 1/36) (.f64 (.f64 eps eps) 1/16))) (/.f64 (.f64 (.f64 eps eps) 13/144) (/.f64 1 (*.f64 eps -1/12))))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (expm1.f64 (*.f64 eps a)) b))
(+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (sqrt.f64 (.f64 (*.f64 eps eps) 25/144))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 1 (.f64 b eps)) 1/2)))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) (-.f64 (/.f64 1 (.f64 a eps)) 1/2)))
(+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (-.f64 (/.f64 1 a) (.f64 eps 1/2)))
(.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 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Outputs

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

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

(+.f64 (*.f64 eps (*.f64 b (-.f64 (*.f64 1/2 eps) (sqrt.f64 (*.f64 (*.f64 eps eps) 25/144))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))

Calls

4 calls:

41.0ms	eps
30.0ms	(/.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)))
24.0ms	b
12.0ms	a

Results

Error	Segments	Branch
2.8b	1	`a`
1.7b	2	`b`
1.4b	2	`eps`
0.2b	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 409 to 210 computations (48.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3826957802452108e-90	+inf
0.0ms	-inf	-5.264204603281168e-18

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes63.0ms (0.4%)

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 eps -1/2)
(/.f64 1 a)
(/.f64 1 b)
(/.f64 eps (*.f64 eps a))
(/.f64 eps (*.f64 eps b))
(*.f64 eps (/.f64 (/.f64 1 eps) b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
(/.f64 (+.f64 a b) (*.f64 a b))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(-.f64 (/.f64 (/.f64 (+.f64 b a) b) a) (*.f64 1/2 eps))
(/.f64 eps (.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps 1/2))))))
(+.f64 (.f64 eps (.f64 eps (*.f64 1/12 b))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (+.f64 (.f64 1/6 eps) (*.f64 1/4 eps))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (/.f64 (.f64 (.f64 (.f64 eps eps) 13/144) (-.f64 (.f64 (.f64 eps eps) 1/36) (.f64 (.f64 eps eps) 1/16))) (/.f64 (.f64 (.f64 eps eps) 13/144) (/.f64 1 (*.f64 eps -1/12))))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 eps (expm1.f64 (*.f64 a eps)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (expm1.f64 (*.f64 eps a)) b))
(+.f64 (.f64 eps (.f64 b (-.f64 (.f64 1/2 eps) (sqrt.f64 (.f64 (*.f64 eps eps) 25/144))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 a eps)) (expm1.f64 (.f64 a eps))) (-.f64 (/.f64 1 (.f64 b eps)) 1/2)))
(.f64 eps (+.f64 (/.f64 (exp.f64 (.f64 b eps)) (expm1.f64 (.f64 b eps))) (-.f64 (/.f64 1 (.f64 a eps)) 1/2)))
(+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (expm1.f64 (.f64 b eps))) (-.f64 (/.f64 1 a) (.f64 eps 1/2)))

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

Calls

3 calls:

25.0ms	b
11.0ms	a
11.0ms	eps

Results

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

Compiler

Compiled 304 to 171 computations (43.8% saved)

regimes21.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	b
6.0ms	eps
6.0ms	a

Results

Error	Segments	Branch
3.0b	1	`a`
3.0b	1	`b`
3.0b	1	`eps`

Compiler

Compiled 69 to 44 computations (36.2% saved)

regimes49.0ms (0.3%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	eps
17.0ms	a
8.0ms	b

Results

Error	Segments	Branch
12.1b	4	`a`
13.0b	2	`b`
22.5b	4	`eps`

Compiler

Compiled 41 to 26 computations (36.6% saved)

bsearch292.0ms (1.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
71.0ms	-3.9999424842786244e-154	-1.3479665890567699e-154
115.0ms	-2.009052262648299e-132	-1.309145644721245e-135
106.0ms	-4.605009102330895e-117	-1.5311470913373005e-117

Results

204.0ms	202×	body	2048	valid
45.0ms	84×	body	1024	valid
1.0ms	2×	body	1024	unsamplable
1.0ms	2×	body	512	valid

Compiler

Compiled 285 to 240 computations (15.8% saved)

regimes10.0ms (0.1%)

Accuracy

Total -26.9b remaining (-75.5%)

Threshold costs -26.9b (-75.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1 a)

Calls

3 calls:

3.0ms	a
3.0ms	eps
3.0ms	b

Results

Error	Segments	Branch
35.6b	1	`a`
35.6b	1	`b`
35.6b	1	`eps`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify41.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
24×	`+-commutative`
14×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	420
1	97	420
2	113	420
3	122	416
4	127	416
5	129	416

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))) 4586997231980143/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (.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 b (-.f64 (.f64 1/2 eps) (sqrt.f64 (.f64 (.f64 eps eps) 25/144))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -4187840306000079/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888) (/.f64 1 b) (if (<=.f64 a -8641751204845815/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (/.f64 1 a) (if (<=.f64 a -1736022715417909/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 1 b) (/.f64 1 a))))
(/.f64 1 a)
(*.f64 eps -1/2)

Outputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (+.f64 (/.f64 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))) 4586997231980143/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (.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 b (-.f64 (.f64 1/2 eps) (sqrt.f64 (.f64 (.f64 eps eps) 25/144))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) -inf.0) (+.f64 (/.f64 1 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))) 4586997231980143/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 eps (.f64 b (-.f64 (.f64 eps 1/2) (sqrt.f64 (.f64 (.f64 eps eps) 25/144))))))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 eps -1/2))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -4187840306000079/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888) (/.f64 1 b) (if (<=.f64 a -8641751204845815/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (/.f64 1 a) (if (<=.f64 a -1736022715417909/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 1 b) (/.f64 1 a))))
(if (or (<=.f64 a -4187840306000079/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888) (and (not (<=.f64 a -8641751204845815/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752)) (<=.f64 a -1736022715417909/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952))) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(*.f64 eps -1/2)

Compiler

Compiled 162 to 106 computations (34.6% saved)

soundness303.0ms (1.8%)

Algorithm

4×	egg-herbie

Rules

1724×	`times-frac`
1724×	`times-frac`
1724×	`times-frac`
1572×	`associate-r`
1172×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	55
1	49	55
2	110	55
3	276	55
4	944	55
5	7287	55
0	20	55
1	49	55
2	110	55
3	276	55
4	944	55
5	7287	55
0	20	55
1	49	55
2	110	55
3	276	55
4	944	55
5	7287	55
0	648	18454
1	2075	18382

Stop Event

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

Compiler

Compiled 636 to 259 computations (59.3% saved)

end111.0ms (0.7%)

Compiler: Compiled 355 to 211 computations (40.6% saved)