Details

analyze658.0ms (3.9%)

Algorithm

1×

Search

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample8.2s (48.4%)

Results

5.5s	4232×	body	2048	valid
1.6s	2450×	body	1024	valid
265.0ms	731×	body	512	valid
225.0ms	418×	body	1024	unsamplable
220.0ms	303×	body	2048	unsamplable
192.0ms	837×	body	256	valid
124.0ms	723×	body	256	unsamplable
59.0ms	204×	body	512	unsamplable
10.0ms	6×	body	4096	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess54.0ms (0.3%)

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

45.43%

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.05%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
▶	51.92%	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
▶	64.12%	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Status

Error

Program

▶

46.05%

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

▶

51.92%

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

▶

64.12%

(*.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
✓	0.02%	(*.f64 eps (+.f64 a b))
✓	0.47%	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	21.58%	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	45.05%	(.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)

series39.0ms (0.2%)

Counts

4 → 132

Calls

36 calls:

Time	Variable		Point	Expression
12.0ms	eps	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
3.0ms	eps	@	0	(*.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	144
1	328	144
2	4499	144

Stop Event

1×	node limit

Counts

4 → 147

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

simplify169.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1046×	`associate-r`
868×	`associate-l`
782×	`*-commutative`
662×	`associate-/r*`
628×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	654	18331
1	2063	18165

Stop Event

1×	node limit

Counts

279 → 327

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(*.f64 eps (+.f64 a b))
✓	10.22%	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
✓	22.06%	(/.f64 eps (expm1.f64 (*.f64 eps a)))
✓	30.44%	(.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)

series20.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite115.0ms (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 b))) (expm1.f64 (.f64 eps a)))))) 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 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Outputs

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

simplify181.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1236×	`associate-r`
1134×	`associate-l`
950×	`*-commutative`
822×	`associate-/l*`
702×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	669	14548
1	2213	14324

Stop Event

1×	node limit

Counts

242 → 300

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(*.f64 eps (+.f64 a b))
✓	11.52%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
✓	17.13%	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
	22.06%	(/.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)))

rewrite124.0ms (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

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

simplify169.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1388×	`associate-/r*`
1380×	`associate-/l*`
1318×	`associate-r`
1050×	`*-commutative`
1032×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	821	21653
1	2522	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)))
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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 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a)))) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a))))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a)))) 2))
(log.f64 (exp.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a)))) 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 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a))))))
(exp.f64 (log.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (*.f64 eps a))))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a))))))

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 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 (.f64 (.f64 b 1/2) 1/2) (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b)))))) (.f64 (.f64 1/2 (-.f64 (/.f64 (pow.f64 (+.f64 a b) 2) b) (+.f64 a b))) (.f64 1/6 (.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 (.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 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a))))))
(.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 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a))))))
(.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 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (*.f64 eps a))))) 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 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (/.f64 eps (expm1.f64 (.f64 eps a))))))
(.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)))))

eval456.0ms (2.7%)

Compiler: Compiled 44213 to 13232 computations (70.1% saved)

prune433.0ms (2.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	1203	11	1214
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1206	11	1217

Error

0.52%

Counts

1217 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	75.31%	(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)))
▶	16.2%	(/.f64 (+.f64 a b) (*.f64 a b))
	47.46%	(/.f64 1 b)
▶	55.82%	(/.f64 1 a)
▶	28.06%	(+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (.f64 a eps)))) (-.f64 (/.f64 1 b) (*.f64 eps 1/2)))
	44.11%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
	74.12%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
▶	70.08%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
	75.24%	(*.f64 eps (/.f64 (/.f64 1 eps) b))
▶	75.87%	(.f64 eps (/.f64 1 (.f64 eps a)))
	78.22%	(.f64 eps (exp.f64 (log.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))))

Compiler

Compiled 362 to 226 computations (37.6% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.37%	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (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))))))))

simplify81.0ms (0.5%)

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)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.37%	(/.f64 1 (*.f64 eps a))
✓	24.74%	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	(/.f64 1 (*.f64 eps a))
0.0ms	a	@	0	(/.f64 1 (*.f64 eps a))
0.0ms	eps	@	0	(/.f64 1 (*.f64 eps a))
0.0ms	eps	@	0	(.f64 eps (/.f64 1 (.f64 eps a)))
0.0ms	eps	@	-inf	(/.f64 1 (*.f64 eps a))

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`add-sqr-sqrt`
1552×	`*-un-lft-identity`
1444×	`add-cube-cbrt`
1420×	`add-cbrt-cube`
1404×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	162	26
2	2011	26

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-*r/`
986×	`associate-*l/`
956×	`associate-+r+`
760×	`times-frac`
750×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1003
1	283	865
2	1082	727
3	6146	727

Stop Event

1×	node limit

Counts

75 → 57

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(expm1.f64 (*.f64 eps a))
	22.06%	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 27 to 9 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`add-sqr-sqrt`
1232×	`*-un-lft-identity`
1136×	`add-cube-cbrt`
1118×	`add-cbrt-cube`
1104×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	133	11
2	1549	11

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

((#(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 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 (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 (-.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 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 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 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 log1p.f64 (expm1.f64 (expm1.f64 (*.f64 eps a))))))))

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1308×	`associate-r`
1062×	`associate-/l*`
1040×	`associate-l`
978×	`associate-/r*`
966×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	798
1	183	798
2	757	786
3	3844	786

Stop Event

1×	node limit

Counts

42 → 35

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(exp.f64 (*.f64 a eps))
✓	0.02%	(+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (.f64 a eps)))) (-.f64 (/.f64 1 b) (*.f64 eps 1/2)))
✓	1.15%	(/.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (.f64 a eps)))
✓	22.07%	(/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (.f64 a eps))))

Compiler

Compiled 71 to 25 computations (64.8% saved)

series13.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

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

rewrite137.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`distribute-lft-in`
1030×	`associate-/r/`
520×	`associate-/l/`
382×	`add-sqr-sqrt`
372×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	370	124
2	5282	124

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 eps) a) (/.f64 eps (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))) (sqrt.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))) (pow.f64 (cbrt.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))) 2) (cbrt.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (pow.f64 (exp.f64 eps) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 eps) (.f64 -1 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1) (pow.f64 (exp.f64 eps) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (sqrt.f64 (pow.f64 (exp.f64 eps) a))) (sqrt.f64 (pow.f64 (exp.f64 eps) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) a)) 2)) (cbrt.f64 (pow.f64 (exp.f64 eps) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps 1) (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (sqrt.f64 (expm1.f64 (.f64 eps a)))) (/.f64 (pow.f64 (exp.f64 eps) a) (sqrt.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (/.f64 (pow.f64 (exp.f64 eps) a) (cbrt.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (expm1.f64 (.f64 eps a))) (.f64 eps (pow.f64 (exp.f64 eps) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (expm1.f64 (.f64 eps a))) (/.f64 eps (pow.f64 (exp.f64 a) (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))) (/.f64 eps (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a))) 2)) (/.f64 eps (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (neg.f64 (expm1.f64 (.f64 eps a)))) (neg.f64 (pow.f64 (exp.f64 eps) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (expm1.f64 (.f64 eps a)))) (.f64 eps (neg.f64 (pow.f64 (exp.f64 eps) a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a)))) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 eps) 1) (.f64 (/.f64 (sqrt.f64 eps) (expm1.f64 (.f64 eps a))) (pow.f64 (exp.f64 eps) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 eps) (expm1.f64 (.f64 eps a))) (/.f64 (sqrt.f64 eps) (pow.f64 (exp.f64 a) (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (.f64 (/.f64 (cbrt.f64 eps) (expm1.f64 (.f64 eps a))) (pow.f64 (exp.f64 eps) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sqrt.f64 eps) (expm1.f64 (.f64 eps a))) (pow.f64 (exp.f64 eps) a)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (expm1.f64 (.f64 eps a))) (/.f64 (cbrt.f64 eps) (pow.f64 (exp.f64 a) (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a))) 2)) (cbrt.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps -1) (neg.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (neg.f64 (neg.f64 (expm1.f64 (.f64 eps a))))) (neg.f64 (neg.f64 (pow.f64 (exp.f64 eps) a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) 1)) (pow.f64 (exp.f64 eps) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (sqrt.f64 (pow.f64 (exp.f64 eps) a)))) (sqrt.f64 (pow.f64 (exp.f64 eps) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) a)) 2))) (cbrt.f64 (pow.f64 (exp.f64 eps) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (expm1.f64 (.f64 eps a)) (.f64 (sqrt.f64 eps) (pow.f64 (exp.f64 eps) a)))) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (expm1.f64 (.f64 eps a)) (.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (exp.f64 eps) a)))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (expm1.f64 (.f64 eps a)) (pow.f64 (exp.f64 eps) a))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1) (pow.f64 (exp.f64 eps) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1) (/.f64 (pow.f64 (exp.f64 eps) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) -1) (neg.f64 (pow.f64 (exp.f64 eps) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 1 (sqrt.f64 (pow.f64 (exp.f64 eps) a)))) (sqrt.f64 (pow.f64 (exp.f64 eps) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) a)) 2))) (cbrt.f64 (pow.f64 (exp.f64 eps) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 eps) -1) (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 eps) (neg.f64 (neg.f64 (expm1.f64 (.f64 eps a))))) (neg.f64 (pow.f64 (exp.f64 eps) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 eps (pow.f64 (exp.f64 eps) a)) (-.f64 (pow.f64 (pow.f64 (exp.f64 eps) a) 2) 1)) (+.f64 (pow.f64 (exp.f64 eps) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 eps (pow.f64 (exp.f64 eps) a)) (-.f64 (pow.f64 (pow.f64 (exp.f64 eps) a) 3) 1)) (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) a) 2) (+.f64 (pow.f64 (exp.f64 eps) a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps 1) 1) (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps 1) (sqrt.f64 (expm1.f64 (.f64 eps a)))) (/.f64 (pow.f64 (exp.f64 eps) a) (sqrt.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps 1) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (/.f64 (pow.f64 (exp.f64 eps) a) (cbrt.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps 1) (neg.f64 (expm1.f64 (.f64 eps a)))) (neg.f64 (pow.f64 (exp.f64 eps) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps 1) -1) (neg.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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simplify158.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1682×	`associate-r`
1290×	`associate-l`
916×	`associate-/r*`
862×	`*-commutative`
668×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	757	20139
1	2358	20005

Stop Event

1×	node limit

Counts

333 → 409

Calls

Call 1

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

Outputs
(/.f64 1 a)
(+.f64 (*.f64 1/2 eps) (/.f64 1 a))
(fma.f64 1/2 eps (/.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 1/2 eps) (/.f64 1 a)))
(fma.f64 (.f64 eps eps) (-.f64 (.f64 a 1/2) (*.f64 a 5/12)) (fma.f64 1/2 eps (/.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 1/2 eps) (+.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 1 a))))
(fma.f64 (.f64 eps eps) (-.f64 (.f64 a 1/2) (.f64 a 5/12)) (fma.f64 1/2 eps (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 1 a))))
(fma.f64 (.f64 eps eps) (-.f64 (.f64 a 1/2) (.f64 a 5/12)) (fma.f64 1/2 eps (fma.f64 (-.f64 (.f64 1/6 (.f64 a a)) (fma.f64 1/12 (.f64 a a) (fma.f64 1/24 (.f64 a a) (.f64 a (.f64 1/2 (-.f64 (.f64 a 1/2) (*.f64 a 5/12))))))) (pow.f64 eps 3) (/.f64 1 a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 1 a)
(-.f64 (+.f64 eps (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (+.f64 (/.f64 1 a) eps) (*.f64 eps -1/2))
(+.f64 (/.f64 1 a) (+.f64 eps (*.f64 eps -1/2)))
(-.f64 (+.f64 eps (+.f64 (.f64 a (-.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 eps (.f64 1/2 eps))))))) (/.f64 1 a))) (*.f64 1/2 eps))
(+.f64 eps (-.f64 (fma.f64 a (-.f64 (.f64 1/2 (.f64 eps eps)) (fma.f64 1/6 (.f64 eps eps) (.f64 1/2 (.f64 eps (+.f64 eps (.f64 eps -1/2)))))) (/.f64 1 a)) (*.f64 1/2 eps)))
(+.f64 eps (-.f64 (fma.f64 a (-.f64 (.f64 1/2 (.f64 eps eps)) (fma.f64 1/6 (.f64 eps eps) (.f64 eps (.f64 1/2 (+.f64 eps (.f64 eps -1/2)))))) (/.f64 1 a)) (*.f64 1/2 eps)))
(-.f64 (+.f64 eps (+.f64 (.f64 a (-.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 eps (.f64 1/2 eps))))))) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 eps (.f64 1/2 eps)))))))) (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 eps (.f64 1/2 eps))))))) (pow.f64 a 2)) (/.f64 1 a)))) (.f64 1/2 eps))
(+.f64 (+.f64 eps (fma.f64 a (-.f64 (.f64 1/2 (.f64 eps eps)) (fma.f64 1/6 (.f64 eps eps) (.f64 1/2 (.f64 eps (+.f64 eps (.f64 eps -1/2)))))) (fma.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (.f64 eps eps)) (fma.f64 1/6 (.f64 eps eps) (.f64 1/2 (.f64 eps (+.f64 eps (.f64 eps -1/2))))))) (.f64 1/6 (.f64 (.f64 eps eps) (+.f64 eps (.f64 eps -1/2))))))) (.f64 a a) (/.f64 1 a)))) (.f64 eps -1/2))
(+.f64 eps (+.f64 (fma.f64 a (-.f64 (.f64 1/2 (.f64 eps eps)) (fma.f64 1/6 (.f64 eps eps) (.f64 eps (.f64 1/2 (+.f64 eps (.f64 eps -1/2)))))) (fma.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (.f64 eps eps)) (fma.f64 1/6 (.f64 eps eps) (.f64 eps (.f64 1/2 (+.f64 eps (.f64 eps -1/2))))))) (.f64 (.f64 eps eps) (.f64 (+.f64 eps (.f64 eps -1/2)) 1/6))))) (.f64 a a) (/.f64 1 a))) (.f64 eps -1/2)))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (*.f64 eps a)) 1))
(/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a))))
(*.f64 eps a)
(*.f64 a eps)
(+.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (pow.f64 eps 2)) (pow.f64 eps 2))) (*.f64 eps a))
(fma.f64 (.f64 a a) (-.f64 (.f64 1/2 (.f64 eps eps)) (.f64 eps eps)) (*.f64 a eps))
(+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 eps (-.f64 (.f64 1/2 (pow.f64 eps 2)) (pow.f64 eps 2))))) (pow.f64 a 3)) (+.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (pow.f64 eps 2)) (pow.f64 eps 2))) (.f64 eps a)))
(fma.f64 (-.f64 (.f64 1/6 (pow.f64 eps 3)) (fma.f64 1/2 (pow.f64 eps 3) (.f64 eps (-.f64 (.f64 1/2 (.f64 eps eps)) (.f64 eps eps))))) (pow.f64 a 3) (fma.f64 (.f64 a a) (-.f64 (.f64 1/2 (.f64 eps eps)) (.f64 eps eps)) (.f64 a eps)))
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1
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1
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(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2))) 2))
(log.f64 (exp.f64 (fma.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))))
(+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))) (+.f64 (/.f64 1 b) (.f64 eps -1/2))))))
(+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))
(cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))) (+.f64 (/.f64 1 b) (.f64 eps -1/2))) 3))
(+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))
(expm1.f64 (log1p.f64 (fma.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))))
(+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))
(exp.f64 (log.f64 (fma.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))))
(+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))) 1))
(+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))
(log1p.f64 (expm1.f64 (fma.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))))
(+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))
(fma.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))
(fma.f64 1 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a)))) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))
(fma.f64 1 (+.f64 (/.f64 1 b) (.f64 eps -1/2)) (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (*.f64 eps a)))))
(+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (sqrt.f64 (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (sqrt.f64 (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a)))))
(fma.f64 (sqrt.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))) (sqrt.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (.f64 eps -1/2))) 2) (cbrt.f64 (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (.f64 eps -1/2))) 2) (cbrt.f64 (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (/.f64 eps (-.f64 1 (/.f64 1 (pow.f64 (exp.f64 eps) a)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))) 2) (cbrt.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 eps a))))) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))
(fma.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (pow.f64 (exp.f64 eps) a) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 eps) a))) 1)
(pow.f64 (exp.f64 eps) a)
(*.f64 (pow.f64 (exp.f64 eps) a) 1)
(pow.f64 (exp.f64 eps) a)
(*.f64 1 (pow.f64 (exp.f64 eps) a))
(pow.f64 (exp.f64 eps) a)
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) a)) (sqrt.f64 (pow.f64 (exp.f64 eps) a)))
(pow.f64 (exp.f64 eps) a)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) a)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) a)) 2))
(pow.f64 (exp.f64 eps) a)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) a)) 2) (cbrt.f64 (pow.f64 (exp.f64 eps) a)))
(pow.f64 (exp.f64 eps) a)
(pow.f64 (pow.f64 (exp.f64 eps) a) 1)
(pow.f64 (exp.f64 eps) a)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) a)) 2)
(pow.f64 (exp.f64 eps) a)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) a)) 3)
(pow.f64 (exp.f64 eps) a)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) a) 3) 1/3)
(pow.f64 (exp.f64 eps) a)
(pow.f64 (exp.f64 eps) a)
(pow.f64 (E.f64) (*.f64 eps a))
(pow.f64 (E.f64) (*.f64 a eps))
(pow.f64 (exp.f64 a) eps)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 eps a)) 2)) (cbrt.f64 (.f64 eps a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 a eps)) 2)) (cbrt.f64 (.f64 a eps)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 eps a))) (sqrt.f64 (.f64 eps a)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 a eps))) (sqrt.f64 (.f64 a eps)))
(pow.f64 (pow.f64 (exp.f64 a) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (pow.f64 (exp.f64 a) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) a) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 eps) a)))
(pow.f64 (exp.f64 eps) a)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 eps) a))))
(pow.f64 (exp.f64 eps) a)
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) a) 3))
(pow.f64 (exp.f64 eps) a)
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 eps) a)))
(pow.f64 (exp.f64 eps) a)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 eps) a)))
(pow.f64 (exp.f64 eps) a)

eval245.0ms (1.4%)

Compiler: Compiled 18943 to 9489 computations (49.9% saved)

prune120.0ms (0.7%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	615	8	623
Fresh	2	4	6
Picked	1	0	1
Done	0	4	4
Total	618	16	634

Error

Counts

634 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.76%	(/.f64 (/.f64 eps a) eps)
✓	16.2%	(/.f64 (+.f64 a b) (*.f64 a b))
	73.33%	(/.f64 eps (*.f64 eps a))
▶	47.46%	(/.f64 1 b)
✓	55.82%	(/.f64 1 a)
	61.75%	(-.f64 (+.f64 1 (/.f64 (/.f64 eps eps) a)) 1)
▶	3.98%	(+.f64 (/.f64 1 b) (/.f64 1 a))
▶	3.8%	(+.f64 (/.f64 1 a) (-.f64 (/.f64 1 b) (*.f64 eps 1/2)))
	17.85%	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) a) (/.f64 (cbrt.f64 (+.f64 a b)) b))
	74.12%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	70.08%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
▶	17.86%	(*.f64 (/.f64 1 a) (/.f64 (+.f64 a b) b))
	55.71%	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1)
	75.24%	(*.f64 eps (/.f64 (/.f64 1 eps) b))
✓	75.87%	(.f64 eps (/.f64 1 (.f64 eps a)))
	78.22%	(.f64 eps (exp.f64 (log.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))))

Compiler

Compiled 341 to 232 computations (32% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (/.f64 1 b) (*.f64 eps 1/2))
✓	0.02%	(+.f64 (/.f64 1 a) (-.f64 (/.f64 1 b) (*.f64 eps 1/2)))

Compiler

Compiled 35 to 24 computations (31.4% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite109.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`distribute-rgt-in`
1054×	`distribute-lft-in`
778×	`associate-/r*`
452×	`associate-/l*`
340×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	268	50
2	3694	50

Stop Event

1×	node limit

Counts

2 → 210

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 b) (-.f64 (*.f64 eps 1/2) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))) (-.f64 1 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 a))) (-.f64 1 (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 b))) (-.f64 1 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 b))) (+.f64 1 (-.f64 (*.f64 eps 1/2) (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 b -2) (+.f64 (/.f64 1 b) (*.f64 eps 1/2))) (-.f64 (/.f64 (*.f64 eps eps) (/.f64 (+.f64 (/.f64 1 b) (*.f64 eps 1/2)) 1/4)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 b -3) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2)))) (-.f64 (/.f64 (pow.f64 eps 3) (/.f64 (+.f64 (*.f64 (*.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2))) 1/8)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a -2) (-.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))) (/.f64 (pow.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) 2) (-.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 a) (exp.f64 (log1p.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 a) (/.f64 (pow.f64 b -2) (+.f64 (/.f64 1 b) (*.f64 eps 1/2)))) (/.f64 (*.f64 eps eps) (/.f64 (+.f64 (/.f64 1 b) (*.f64 eps 1/2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 a) (/.f64 (pow.f64 b -3) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2))))) (/.f64 (pow.f64 eps 3) (/.f64 (+.f64 (*.f64 (*.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2))) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) (exp.f64 (log1p.f64 (/.f64 1 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 0) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))) (sqrt.f64 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))) 2) (cbrt.f64 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a -2) (pow.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) 2)) (/.f64 1 (-.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a -3) (pow.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 a -2) (*.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) (-.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) (/.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))) (-.f64 (pow.f64 a -2) (pow.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 a -2) (*.f64 (+.f64 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simplify193.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1006×	`fma-def`
780×	`associate-r`
672×	`+-commutative`
636×	`distribute-lft-in`
632×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	600	14264
1	1774	12886

Stop Event

1×	node limit

Counts

270 → 333

Calls

Call 1

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

Outputs
(/.f64 1 a)
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
(fma.f64 eps -1/2 (/.f64 1 b))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
(fma.f64 eps -1/2 (/.f64 1 b))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(/.f64 1 b)
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
(fma.f64 eps -1/2 (/.f64 1 a))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
(fma.f64 eps -1/2 (/.f64 1 a))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(*.f64 -1/2 eps)
(*.f64 eps -1/2)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(*.f64 -1/2 eps)
(*.f64 eps -1/2)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (fma.f64 eps -1/2 (/.f64 1 b)))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(*.f64 -1/2 eps)
(*.f64 eps -1/2)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(*.f64 -1/2 eps)
(*.f64 eps -1/2)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(*.f64 -1/2 eps)
(*.f64 eps -1/2)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(*.f64 -1/2 eps)
(*.f64 eps -1/2)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
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(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 eps (*.f64 eps 1/4) (fma.f64 (/.f64 eps b) 1/2 (pow.f64 b -2))))
(/.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2))) (/.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2))) (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))
(fma.f64 eps -1/2 (/.f64 1 b))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4))) (/.f64 (+.f64 (/.f64 1 b) (.f64 eps 1/2)) (sqrt.f64 (-.f64 (pow.f64 b -2) (.f64 (*.f64 eps eps) 1/4)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b -2) (.f64 eps (.f64 eps 1/4)))) (+.f64 (/.f64 1 b) (.f64 1/2 eps))) (sqrt.f64 (-.f64 (pow.f64 b -2) (.f64 eps (.f64 eps 1/4)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) -1/4))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 b -2) (.f64 (*.f64 eps eps) -1/4))) (fma.f64 1/2 eps (/.f64 1 b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8))) (/.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2))) (sqrt.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8))) (/.f64 (fma.f64 (.f64 eps eps) 1/4 (+.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b 1/2)))) (sqrt.f64 (-.f64 (pow.f64 b -3) (*.f64 (pow.f64 eps 3) 1/8)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3))) (sqrt.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)))) (fma.f64 eps (.f64 eps 1/4) (fma.f64 (/.f64 eps b) 1/2 (pow.f64 b -2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4))) (cbrt.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)))) (/.f64 (+.f64 (/.f64 1 b) (.f64 eps 1/2)) (cbrt.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b -2) (.f64 eps (.f64 eps 1/4)))) (cbrt.f64 (-.f64 (pow.f64 b -2) (.f64 eps (.f64 eps 1/4))))) (+.f64 (/.f64 1 b) (.f64 1/2 eps))) (cbrt.f64 (-.f64 (pow.f64 b -2) (.f64 eps (*.f64 eps 1/4)))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) -1/4))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) -1/4))) (/.f64 (fma.f64 1/2 eps (/.f64 1 b)) (cbrt.f64 (+.f64 (pow.f64 b -2) (.f64 (*.f64 eps eps) -1/4))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8))) (cbrt.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8)))) (/.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2))) (cbrt.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8))) (cbrt.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8)))) (fma.f64 (.f64 eps eps) 1/4 (+.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b 1/2))))) (cbrt.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3))) (/.f64 (.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3))) (cbrt.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)))) (fma.f64 eps (*.f64 eps 1/4) (fma.f64 (/.f64 eps b) 1/2 (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 eps (.f64 eps 1/4))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(/.f64 (+.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) -1/4)) (fma.f64 1/2 eps (/.f64 1 b)))
(/.f64 (-.f64 (.f64 (pow.f64 b -2) (pow.f64 b -2)) (.f64 (.f64 (.f64 eps eps) 1/4) (.f64 (.f64 eps eps) 1/4))) (.f64 (+.f64 (/.f64 1 b) (.f64 eps 1/2)) (+.f64 (.f64 (.f64 eps eps) 1/4) (pow.f64 b -2))))
(/.f64 (-.f64 (pow.f64 b -4) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) 1/16)) (.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (fma.f64 (*.f64 eps eps) 1/4 (pow.f64 b -2))))
(/.f64 (+.f64 (pow.f64 b -4) (.f64 (.f64 eps (pow.f64 eps 3)) -1/16)) (.f64 (fma.f64 1/2 eps (/.f64 1 b)) (fma.f64 (.f64 eps eps) 1/4 (pow.f64 b -2))))
(/.f64 (-.f64 (.f64 (pow.f64 b -3) (pow.f64 b -3)) (.f64 (.f64 (pow.f64 eps 3) 1/8) (.f64 (pow.f64 eps 3) 1/8))) (.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2))) (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8))))
(/.f64 (-.f64 (pow.f64 b -6) (.f64 (.f64 (pow.f64 eps 3) (pow.f64 eps 3)) 1/64)) (.f64 (fma.f64 (.f64 eps eps) 1/4 (+.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b 1/2)))) (+.f64 (pow.f64 b -3) (*.f64 (pow.f64 eps 3) 1/8))))
(/.f64 (+.f64 (pow.f64 b -6) (.f64 (pow.f64 eps 6) -1/64)) (.f64 (fma.f64 eps (*.f64 eps 1/4) (fma.f64 (/.f64 eps b) 1/2 (pow.f64 b -2))) (fma.f64 (pow.f64 eps 3) 1/8 (pow.f64 b -3))))
(/.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 (pow.f64 eps 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 eps eps) 1/4 (+.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b 1/2))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 eps (*.f64 eps 1/4) (fma.f64 (/.f64 eps b) 1/2 (pow.f64 b -2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 b -2) 3) (pow.f64 (.f64 (.f64 eps eps) 1/4) 3)) (.f64 (+.f64 (/.f64 1 b) (.f64 eps 1/2)) (+.f64 (.f64 (pow.f64 b -2) (pow.f64 b -2)) (+.f64 (.f64 (.f64 (.f64 eps eps) 1/4) (.f64 (.f64 eps eps) 1/4)) (.f64 (pow.f64 b -2) (.f64 (*.f64 eps eps) 1/4))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 b -2) 3) (pow.f64 (.f64 eps (.f64 eps 1/4)) 3)) (.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (+.f64 (pow.f64 b -4) (.f64 (.f64 eps (.f64 eps 1/4)) (fma.f64 (.f64 eps eps) 1/4 (pow.f64 b -2))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 b -2) 3) (.f64 (pow.f64 eps 6) -1/64)) (.f64 (fma.f64 1/2 eps (/.f64 1 b)) (fma.f64 (.f64 (.f64 eps eps) 1/4) (fma.f64 (*.f64 eps eps) 1/4 (pow.f64 b -2)) (pow.f64 b -4))))
(/.f64 (-.f64 (pow.f64 (pow.f64 b -3) 3) (pow.f64 (.f64 (pow.f64 eps 3) 1/8) 3)) (.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2))) (+.f64 (.f64 (pow.f64 b -3) (pow.f64 b -3)) (+.f64 (.f64 (.f64 (pow.f64 eps 3) 1/8) (.f64 (pow.f64 eps 3) 1/8)) (.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 b -3) 3) (.f64 (pow.f64 (pow.f64 eps 3) 3) 1/512)) (.f64 (fma.f64 (.f64 eps eps) 1/4 (+.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b 1/2)))) (+.f64 (pow.f64 b -6) (.f64 (.f64 (pow.f64 eps 3) 1/8) (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 b -3) 3) (.f64 (pow.f64 (pow.f64 eps 3) 3) -1/512)) (.f64 (fma.f64 eps (.f64 eps 1/4) (fma.f64 (/.f64 eps b) 1/2 (pow.f64 b -2))) (fma.f64 (.f64 (pow.f64 eps 3) 1/8) (fma.f64 (pow.f64 eps 3) 1/8 (pow.f64 b -3)) (pow.f64 b -6))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4))) (neg.f64 (+.f64 (/.f64 1 b) (*.f64 eps 1/2))))
(.f64 (-.f64 (pow.f64 b -2) (.f64 eps (.f64 eps 1/4))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(/.f64 (+.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) -1/4)) (fma.f64 1/2 eps (/.f64 1 b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8))) (neg.f64 (+.f64 (.f64 (*.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2)))))
(.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 eps eps) 1/4 (+.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b 1/2))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 eps (*.f64 eps 1/4) (fma.f64 (/.f64 eps b) 1/2 (pow.f64 b -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)) 1) (+.f64 (/.f64 1 b) (*.f64 eps 1/2)))
(.f64 (-.f64 (pow.f64 b -2) (.f64 eps (.f64 eps 1/4))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(/.f64 (+.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) -1/4)) (fma.f64 1/2 eps (/.f64 1 b)))
(/.f64 (/.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)) (sqrt.f64 (+.f64 (/.f64 1 b) (.f64 eps 1/2)))) (sqrt.f64 (+.f64 (/.f64 1 b) (.f64 eps 1/2))))
(.f64 (-.f64 (pow.f64 b -2) (.f64 eps (.f64 eps 1/4))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(/.f64 (+.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) -1/4)) (fma.f64 1/2 eps (/.f64 1 b)))
(/.f64 (/.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)) (.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (.f64 eps 1/2))) (cbrt.f64 (+.f64 (/.f64 1 b) (.f64 eps 1/2))))) (cbrt.f64 (+.f64 (/.f64 1 b) (.f64 eps 1/2))))
(.f64 (-.f64 (pow.f64 b -2) (.f64 eps (.f64 eps 1/4))) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(/.f64 (+.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) -1/4)) (fma.f64 1/2 eps (/.f64 1 b)))
(/.f64 (/.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8)) 1) (+.f64 (.f64 (*.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2))))
(.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 eps eps) 1/4 (+.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b 1/2))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 eps (*.f64 eps 1/4) (fma.f64 (/.f64 eps b) 1/2 (pow.f64 b -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8)) (sqrt.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2))))) (sqrt.f64 (+.f64 (.f64 (*.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2)))))
(.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 eps eps) 1/4 (+.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b 1/2))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 eps (*.f64 eps 1/4) (fma.f64 (/.f64 eps b) 1/2 (pow.f64 b -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2)))) (cbrt.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2)))))) (cbrt.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (/.f64 eps (/.f64 b 1/2)) (pow.f64 b -2)))))
(.f64 (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 eps eps) 1/4 (+.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b 1/2))))))
(/.f64 (fma.f64 (pow.f64 eps 3) -1/8 (pow.f64 b -3)) (fma.f64 eps (*.f64 eps 1/4) (fma.f64 (/.f64 eps b) 1/2 (pow.f64 b -2))))
(pow.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) 1)
(fma.f64 eps -1/2 (/.f64 1 b))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2))) 2)
(fma.f64 eps -1/2 (/.f64 1 b))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2))) 3)
(fma.f64 eps -1/2 (/.f64 1 b))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) 3) 1/3)
(fma.f64 eps -1/2 (/.f64 1 b))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps -1/2 (/.f64 1 b)) 2))
(fabs.f64 (fma.f64 eps -1/2 (/.f64 1 b)))
(log.f64 (exp.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))
(fma.f64 eps -1/2 (/.f64 1 b))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))))
(fma.f64 eps -1/2 (/.f64 1 b))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) 3))
(fma.f64 eps -1/2 (/.f64 1 b))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))
(fma.f64 eps -1/2 (/.f64 1 b))
(exp.f64 (log.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))
(fma.f64 eps -1/2 (/.f64 1 b))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 1 b) (.f64 eps -1/2))) 1))
(fma.f64 eps -1/2 (/.f64 1 b))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))
(fma.f64 eps -1/2 (/.f64 1 b))
(fma.f64 1 (/.f64 1 b) (*.f64 eps -1/2))
(fma.f64 eps -1/2 (/.f64 1 b))
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (*.f64 eps -1/2))
(fma.f64 eps -1/2 (/.f64 1 b))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (cbrt.f64 (/.f64 1 b)) (*.f64 eps -1/2))

localize3.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	22.07%	(/.f64 (/.f64 eps a) eps)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`add-sqr-sqrt`
1562×	`*-un-lft-identity`
1460×	`add-cube-cbrt`
1438×	`add-cbrt-cube`
1426×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	131	13
2	1904	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-*r/`
1310×	`associate-+r+`
1246×	`associate-+l+`
936×	`associate-/l*`
824×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	482
1	272	476
2	1150	476
3	6301	476

Stop Event

1×	node limit

Counts

62 → 42

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 (/.f64 1 a) (pow.f64 eps -1)))
(.f64 eps (/.f64 1 (.f64 eps a)))
(*.f64 (/.f64 eps a) (pow.f64 eps -1))
(.f64 (/.f64 eps (.f64 eps a)) 1)
(.f64 1 (/.f64 eps (.f64 eps a)))
(.f64 (sqrt.f64 (/.f64 eps (.f64 eps a))) (sqrt.f64 (/.f64 eps (*.f64 eps a))))
(.f64 (sqrt.f64 (/.f64 eps a)) (.f64 (sqrt.f64 (/.f64 eps a)) (pow.f64 eps -1)))
(.f64 (cbrt.f64 (/.f64 eps (.f64 eps a))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 eps a))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (.f64 eps a))) 2) (cbrt.f64 (/.f64 eps (*.f64 eps a))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (.f64 (cbrt.f64 (/.f64 eps a)) (pow.f64 eps -1)))
(*.f64 (pow.f64 eps -1) (/.f64 eps a))
(*.f64 (/.f64 (neg.f64 eps) a) (/.f64 1 (neg.f64 eps)))
(*.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (/.f64 eps a) (sqrt.f64 eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (/.f64 eps a) (cbrt.f64 eps)))
(*.f64 (/.f64 eps 1) (/.f64 (/.f64 1 a) eps))
(*.f64 (/.f64 (sqrt.f64 eps) eps) (/.f64 (sqrt.f64 eps) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) (/.f64 (cbrt.f64 eps) a))
(*.f64 (/.f64 eps (sqrt.f64 eps)) (/.f64 (/.f64 1 a) (sqrt.f64 eps)))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (/.f64 1 a) (cbrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 eps a)) 1) (/.f64 (sqrt.f64 (/.f64 eps a)) eps))
(*.f64 (/.f64 (sqrt.f64 (/.f64 eps a)) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (/.f64 eps a)) (cbrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) 1) (/.f64 (cbrt.f64 (/.f64 eps a)) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (/.f64 eps a)) (sqrt.f64 eps)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 eps (.f64 eps a))))
(pow.f64 (/.f64 eps (*.f64 eps a)) 1)
(pow.f64 (sqrt.f64 (/.f64 eps (*.f64 eps a))) 2)
(pow.f64 (cbrt.f64 (/.f64 eps (*.f64 eps a))) 3)
(pow.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 3) 1/3)
(pow.f64 (*.f64 eps (/.f64 a eps)) -1)
(neg.f64 (/.f64 (/.f64 eps a) (neg.f64 eps)))
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 2))
(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 (log.f64 (/.f64 eps (*.f64 eps a))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (.f64 eps 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 (/.f64 1 a) (pow.f64 eps -1)))
(/.f64 1 a)
(.f64 eps (/.f64 1 (.f64 eps a)))
(/.f64 1 a)
(*.f64 (/.f64 eps a) (pow.f64 eps -1))
(/.f64 1 a)
(.f64 (/.f64 eps (.f64 eps a)) 1)
(/.f64 1 a)
(.f64 1 (/.f64 eps (.f64 eps a)))
(/.f64 1 a)
(.f64 (sqrt.f64 (/.f64 eps (.f64 eps a))) (sqrt.f64 (/.f64 eps (*.f64 eps a))))
(/.f64 1 a)
(.f64 (sqrt.f64 (/.f64 eps a)) (.f64 (sqrt.f64 (/.f64 eps a)) (pow.f64 eps -1)))
(/.f64 1 a)
(.f64 (cbrt.f64 (/.f64 eps (.f64 eps a))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 eps a))) 2))
(/.f64 1 a)
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (.f64 eps a))) 2) (cbrt.f64 (/.f64 eps (*.f64 eps a))))
(/.f64 1 a)
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (.f64 (cbrt.f64 (/.f64 eps a)) (pow.f64 eps -1)))
(/.f64 1 a)
(*.f64 (pow.f64 eps -1) (/.f64 eps a))
(/.f64 1 a)
(*.f64 (/.f64 (neg.f64 eps) a) (/.f64 1 (neg.f64 eps)))
(/.f64 1 a)
(*.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (/.f64 eps a) (sqrt.f64 eps)))
(/.f64 1 a)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (/.f64 eps a) (cbrt.f64 eps)))
(/.f64 1 a)
(*.f64 (/.f64 eps 1) (/.f64 (/.f64 1 a) eps))
(/.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) eps) (/.f64 (cbrt.f64 eps) a))
(/.f64 1 a)
(*.f64 (/.f64 eps (sqrt.f64 eps)) (/.f64 (/.f64 1 a) (sqrt.f64 eps)))
(/.f64 1 a)
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (/.f64 1 a) (cbrt.f64 eps)))
(/.f64 1 a)
(*.f64 (/.f64 (sqrt.f64 (/.f64 eps a)) 1) (/.f64 (sqrt.f64 (/.f64 eps a)) eps))
(/.f64 1 a)
(*.f64 (/.f64 (sqrt.f64 (/.f64 eps a)) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (/.f64 eps a)) (cbrt.f64 eps)))
(/.f64 1 a)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) 1) (/.f64 (cbrt.f64 (/.f64 eps a)) eps))
(/.f64 1 a)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (/.f64 eps a)) (sqrt.f64 eps)))
(/.f64 1 a)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 eps (.f64 eps a))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (cbrt.f64 (/.f64 eps (.f64 a eps)))) (pow.f64 (cbrt.f64 eps) 2))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 1 a))))
(*.f64 (cbrt.f64 (/.f64 1 a)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (pow.f64 (cbrt.f64 eps) 2)))
(pow.f64 (/.f64 eps (*.f64 eps a)) 1)
(/.f64 1 a)
(pow.f64 (sqrt.f64 (/.f64 eps (*.f64 eps a))) 2)
(/.f64 1 a)
(pow.f64 (cbrt.f64 (/.f64 eps (*.f64 eps a))) 3)
(/.f64 1 a)
(pow.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 3) 1/3)
(/.f64 1 a)
(pow.f64 (*.f64 eps (/.f64 a eps)) -1)
(/.f64 1 a)
(neg.f64 (/.f64 (/.f64 eps a) (neg.f64 eps)))
(/.f64 1 a)
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 2))
(/.f64 1 a)
(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 (log.f64 (/.f64 eps (*.f64 eps a))))
(/.f64 1 a)
(exp.f64 (.f64 (log.f64 (/.f64 eps (.f64 eps 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
✓	0.02%	(+.f64 (/.f64 1 b) (/.f64 1 a))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1924×	`add-sqr-sqrt`
1902×	`*-un-lft-identity`
1784×	`add-cube-cbrt`
1766×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	176	19
2	2410	19

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

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

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1130×	`associate-+r+`
1104×	`associate-r`
986×	`associate-/r/`
956×	`associate-l`
808×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1569
1	316	1473
2	997	1469
3	4963	1469

Stop Event

1×	node limit

Counts

61 → 55

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.04%	(/.f64 (+.f64 a b) b)
✓	13%	(*.f64 (/.f64 1 a) (/.f64 (+.f64 a b) b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`associate-/l*`
1064×	`*-commutative`
640×	`associate-/l/`
526×	`distribute-lft-in`
510×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	198	32
2	2866	32

Stop Event

1×	node limit

Counts

2 → 195

Calls

Call 1

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

Outputs

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

simplify136.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

970×	`associate-/r*`
826×	`associate-/l*`
660×	`associate-/r/`
622×	`times-frac`
616×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	510	7247
1	1521	6937
2	6941	6937

Stop Event

1×	node limit

Counts

243 → 298

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

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

eval291.0ms (1.7%)

Compiler: Compiled 16990 to 10030 computations (41% saved)

prune236.0ms (1.4%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	721	7	728
Fresh	3	4	7
Picked	1	0	1
Done	2	6	8
Total	727	17	744

Error

Counts

744 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.82%	(/.f64 (/.f64 (+.f64 b a) b) a)
✓	58.76%	(/.f64 (/.f64 eps a) eps)
▶	48.54%	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 (.f64 eps eps) 1/4)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps 1/2))))
✓	16.2%	(/.f64 (+.f64 a b) (*.f64 a b))
	73.33%	(/.f64 eps (*.f64 eps a))
▶	3.82%	(/.f64 1 (/.f64 1 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))))
✓	47.46%	(/.f64 1 b)
✓	55.82%	(/.f64 1 a)
	47.28%	(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
▶	55.71%	(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
	61.75%	(-.f64 (+.f64 1 (/.f64 (/.f64 eps eps) a)) 1)
✓	3.98%	(+.f64 (/.f64 1 b) (/.f64 1 a))
	29.95%	(+.f64 (/.f64 1 a) (exp.f64 (log.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))))
	74.12%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	70.08%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
	78.22%	(.f64 eps (exp.f64 (log.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))))
▶	97.29%	(*.f64 eps -1/2)

Compiler

Compiled 387 to 279 computations (27.9% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (/.f64 1 b) (*.f64 eps -1/2))
✓	0.02%	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
✓	0.07%	(/.f64 1 (/.f64 1 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))))
✓	0.26%	(/.f64 1 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))

Compiler

Compiled 63 to 46 computations (27% saved)

series19.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
13.0ms	a	@	0	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
1.0ms	eps	@	0	(/.f64 1 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))
1.0ms	eps	@	inf	(/.f64 1 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))
0.0ms	b	@	inf	(/.f64 1 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))
0.0ms	a	@	inf	(/.f64 1 (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2))))

rewrite167.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`distribute-lft-in`
1252×	`associate-/r*`
722×	`associate-/r/`
564×	`associate-/l*`
342×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	118
1	315	102
2	4108	102

Stop Event

1×	node limit

Counts

4 → 378

Calls

Call 1

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

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

simplify243.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1362×	`associate-r`
940×	`associate-l`
916×	`associate-/l*`
914×	`*-commutative`
838×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	907	31020
1	2738	30730

Stop Event

1×	node limit

Counts

510 → 603

Calls

Call 1

Inputs
a
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)))) a)
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))) (+.f64 a (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))) (+.f64 a (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 3))) (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 2)))))
(/.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)))
(-.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (/.f64 1 (.f64 a (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 2))))
(-.f64 (+.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 3)))) (/.f64 1 (.f64 a (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 2))))
(-.f64 (+.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 3)))) (+.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4))) (/.f64 1 (.f64 a (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 2)))))
(/.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)))
(-.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (/.f64 1 (.f64 a (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 2))))
(-.f64 (+.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 3)))) (/.f64 1 (.f64 a (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 2))))
(-.f64 (+.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b))) (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 3)))) (+.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) 4))) (/.f64 1 (.f64 a (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) 2)))))
b
(+.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) (pow.f64 b 2))) b)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (pow.f64 b 2))) (+.f64 b (.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 2) (pow.f64 b 3))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (pow.f64 b 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (pow.f64 b 4))) (+.f64 b (.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2) (pow.f64 b 3)))))
(/.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(-.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 2) b)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (pow.f64 b 2))) (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)))) (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 2) b)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (pow.f64 b 2))) (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2) b)) (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 4) (pow.f64 b 3)))))
(/.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(-.f64 (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a))) (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 2) b)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (pow.f64 b 2))) (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)))) (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 2) b)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 3) (pow.f64 b 2))) (/.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 2) b)) (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 4) (pow.f64 b 3)))))
(/.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 1/2 (/.f64 eps (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a))))) (/.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (.f64 1/2 (/.f64 eps (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 b) (/.f64 1 a))))) (/.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(+.f64 (.f64 1/2 (/.f64 eps (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 eps 2) (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 b) (/.f64 1 a))))) (+.f64 (/.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 1/8 (/.f64 (pow.f64 eps 3) (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) 2)))))))
(/.f64 -2 eps)
(-.f64 (.f64 -4 (/.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (pow.f64 eps 2))) (.f64 2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -8 (/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a))) (pow.f64 eps 3))) (.f64 -4 (/.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (pow.f64 eps 2)))) (.f64 2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -8 (/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a))) (pow.f64 eps 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (pow.f64 eps 2))) (.f64 -16 (/.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 b) (/.f64 1 a))) (pow.f64 eps 4))))) (.f64 2 (/.f64 1 eps)))
(/.f64 -2 eps)
(-.f64 (.f64 -4 (/.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (pow.f64 eps 2))) (.f64 2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -8 (/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a))) (pow.f64 eps 3))) (.f64 -4 (/.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (pow.f64 eps 2)))) (.f64 2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -8 (/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 b) (/.f64 1 a))) (pow.f64 eps 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (pow.f64 eps 2))) (.f64 -16 (/.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 b) (/.f64 1 a))) (pow.f64 eps 4))))) (.f64 2 (/.f64 1 eps)))
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 1 b)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 -1/2 eps)
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (*.f64 -1/2 eps) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 1 b)
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(fma.f64 (sqrt.f64 (fma.f64 eps -1/2 (/.f64 1 b))) (sqrt.f64 (fma.f64 eps -1/2 (/.f64 1 b))) (/.f64 1 a))
(fma.f64 (pow.f64 a -1/2) (pow.f64 a -1/2) (fma.f64 eps -1/2 (/.f64 1 b)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 eps -1/2 (/.f64 1 b))) 2) (cbrt.f64 (fma.f64 eps -1/2 (/.f64 1 b))) (/.f64 1 a))
(fma.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 1 (cbrt.f64 a)) (fma.f64 eps -1/2 (/.f64 1 b)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps -1/2 (/.f64 1 b)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps -1/2))) (-.f64 1 (/.f64 1 b)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 b))) (-.f64 1 (*.f64 eps -1/2)))
(-.f64 (/.f64 (pow.f64 b -2) (+.f64 (/.f64 1 b) (.f64 1/2 eps))) (/.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(-.f64 (+.f64 (/.f64 1 b) (exp.f64 (log1p.f64 (*.f64 eps -1/2)))) 1)
(-.f64 (+.f64 (*.f64 eps -1/2) (exp.f64 (log1p.f64 (/.f64 1 b)))) 1)
(*.f64 1 (fma.f64 eps -1/2 (/.f64 1 b)))
(*.f64 (fma.f64 eps -1/2 (/.f64 1 b)) 1)
(*.f64 (sqrt.f64 (fma.f64 eps -1/2 (/.f64 1 b))) (sqrt.f64 (fma.f64 eps -1/2 (/.f64 1 b))))
(*.f64 (cbrt.f64 (fma.f64 eps -1/2 (/.f64 1 b))) (pow.f64 (cbrt.f64 (fma.f64 eps -1/2 (/.f64 1 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps -1/2 (/.f64 1 b))) 2) (cbrt.f64 (fma.f64 eps -1/2 (/.f64 1 b))))
(.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)) (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(.f64 (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8)) (/.f64 1 (+.f64 (.f64 (.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2))))))
(.f64 (/.f64 1 (+.f64 (/.f64 1 b) (.f64 1/2 eps))) (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2))))) (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8)))
(.f64 (/.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)) (-.f64 (pow.f64 b -2) (.f64 (*.f64 eps eps) 1/4))) (fma.f64 eps -1/2 (/.f64 1 b)))
(.f64 (/.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)) (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8))) (+.f64 (pow.f64 b -2) (.f64 (.f64 eps -1/2) (fma.f64 eps -1/2 (/.f64 1 b)))))
(.f64 (/.f64 (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8)) (-.f64 (.f64 (pow.f64 b -2) (pow.f64 b -2)) (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (/.f64 eps (/.f64 b -1/2))) (-.f64 (.f64 (.f64 eps eps) 1/4) (/.f64 eps (/.f64 b -1/2)))))) (+.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)) (/.f64 eps (/.f64 b -1/2))))
(.f64 (/.f64 (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8)) (+.f64 (pow.f64 (pow.f64 b -2) 3) (pow.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (/.f64 eps (/.f64 b -1/2))) 3))) (+.f64 (.f64 (pow.f64 b -2) (pow.f64 b -2)) (-.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (/.f64 eps (/.f64 b -1/2))) (-.f64 (.f64 (.f64 eps eps) 1/4) (/.f64 eps (/.f64 b -1/2)))) (.f64 (pow.f64 b -2) (-.f64 (.f64 (*.f64 eps eps) 1/4) (/.f64 eps (/.f64 b -1/2)))))))
(/.f64 1 (/.f64 1 (fma.f64 eps -1/2 (/.f64 1 b))))
(/.f64 (fma.f64 eps -1/2 (/.f64 1 b)) (/.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(/.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)) (+.f64 (/.f64 1 b) (*.f64 1/2 eps)))
(/.f64 (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8)) (+.f64 (.f64 (*.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2)))))
(/.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2)))) (/.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2)))) (fma.f64 eps -1/2 (/.f64 1 b))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8))) (/.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2)))) (sqrt.f64 (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4))) (/.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (sqrt.f64 (-.f64 (pow.f64 b -2) (.f64 (*.f64 eps eps) 1/4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8))) (cbrt.f64 (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8)))) (/.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2)))) (cbrt.f64 (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4))) (cbrt.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)))) (/.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (cbrt.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (pow.f64 b -2)) (-.f64 (*.f64 eps -1/2) (/.f64 1 b)))
(/.f64 (-.f64 (.f64 (pow.f64 b -3) (pow.f64 b -3)) (.f64 (.f64 (pow.f64 eps 3) -1/8) (.f64 (pow.f64 eps 3) -1/8))) (.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2)))) (-.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8))))
(/.f64 (-.f64 (.f64 (pow.f64 b -2) (pow.f64 b -2)) (.f64 (.f64 (.f64 eps eps) 1/4) (.f64 (.f64 eps eps) 1/4))) (.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (+.f64 (.f64 (.f64 eps eps) 1/4) (pow.f64 b -2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 b -3) 3) (pow.f64 (.f64 (pow.f64 eps 3) -1/8) 3)) (.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2)))) (+.f64 (.f64 (pow.f64 b -3) (pow.f64 b -3)) (-.f64 (.f64 (.f64 (pow.f64 eps 3) -1/8) (.f64 (pow.f64 eps 3) -1/8)) (.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 b -2) 3) (pow.f64 (.f64 (.f64 eps eps) 1/4) 3)) (.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)) (+.f64 (.f64 (pow.f64 b -2) (pow.f64 b -2)) (+.f64 (.f64 (.f64 (.f64 eps eps) 1/4) (.f64 (.f64 eps eps) 1/4)) (.f64 (pow.f64 b -2) (.f64 (*.f64 eps eps) 1/4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4))) (neg.f64 (+.f64 (/.f64 1 b) (*.f64 1/2 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8))) (neg.f64 (+.f64 (.f64 (*.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)) 1) (+.f64 (/.f64 1 b) (*.f64 1/2 eps)))
(/.f64 (/.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)) (sqrt.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps)))) (sqrt.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)) (.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps))) (cbrt.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps))))) (cbrt.f64 (+.f64 (/.f64 1 b) (.f64 1/2 eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 b -2) (.f64 (.f64 eps eps) 1/4)) (+.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 (/.f64 (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8)) 1) (+.f64 (.f64 (*.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8)) (sqrt.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2)))))) (sqrt.f64 (+.f64 (.f64 (*.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 b -3) (.f64 (pow.f64 eps 3) -1/8)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2))))) (cbrt.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2))))))) (cbrt.f64 (+.f64 (.f64 (.f64 eps eps) 1/4) (-.f64 (pow.f64 b -2) (/.f64 eps (/.f64 b -1/2))))))
(pow.f64 (fma.f64 eps -1/2 (/.f64 1 b)) 1)
(pow.f64 (sqrt.f64 (fma.f64 eps -1/2 (/.f64 1 b))) 2)
(pow.f64 (cbrt.f64 (fma.f64 eps -1/2 (/.f64 1 b))) 3)
(pow.f64 (pow.f64 (fma.f64 eps -1/2 (/.f64 1 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 eps -1/2 (/.f64 1 b)) 2))
(log.f64 (exp.f64 (fma.f64 eps -1/2 (/.f64 1 b))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps -1/2 (/.f64 1 b)))))
(cbrt.f64 (pow.f64 (fma.f64 eps -1/2 (/.f64 1 b)) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps -1/2 (/.f64 1 b))))
(exp.f64 (log.f64 (fma.f64 eps -1/2 (/.f64 1 b))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps -1/2 (/.f64 1 b))) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps -1/2 (/.f64 1 b))))
(fma.f64 1 (/.f64 1 b) (*.f64 eps -1/2))
(fma.f64 1 (*.f64 eps -1/2) (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 (sqrt.f64 (.f64 eps -1/2)) (sqrt.f64 (.f64 eps -1/2)) (/.f64 1 b))
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (*.f64 eps -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps -1/2)) 2) (cbrt.f64 (.f64 eps -1/2)) (/.f64 1 b))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (*.f64 eps -1/2))

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

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(-.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	@	-inf	(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
0.0ms	a	@	0	(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
0.0ms	eps	@	inf	(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
0.0ms	eps	@	0	(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
0.0ms	eps	@	-inf	(-.f64 (/.f64 1 a) (*.f64 1/2 eps))

rewrite61.0ms (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 eps -1/2)) (fma.f64 (*.f64 eps -1/2) 1 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2)) (fma.f64 (neg.f64 eps) 1/2 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2)) (fma.f64 -1/2 eps (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2)) (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 eps -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 eps))) (pow.f64 (cbrt.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps -1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))) (sqrt.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))) 2) (cbrt.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))))))) (#(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 eps -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 a) (*.f64 eps -1/2))))))) (#(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))))))

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1390×	`distribute-lft-in`
1246×	`associate-/r*`
1180×	`distribute-rgt-in`
802×	`fma-def`
672×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1453
1	308	1333
2	1194	1297
3	3825	1297

Stop Event

1×	node limit

Counts

63 → 53

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.04%	(/.f64 (+.f64 b a) b)
✓	12.95%	(/.f64 (/.f64 (+.f64 b a) b) a)

Compiler

Compiled 20 to 6 computations (70% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`associate-/l*`
944×	`*-commutative`
696×	`associate-/l/`
640×	`associate-/r/`
570×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	163	32
2	2562	32

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1336×	`associate-/r/`
1162×	`distribute-rgt-neg-out`
540×	`associate-l`
528×	`distribute-frac-neg`
510×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	313	3939
1	890	3753
2	4276	3753

Stop Event

1×	node limit

Counts

187 → 173

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

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

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (/.f64 1 a) (/.f64 1 b))
✓	0.02%	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps 1/2)))
✓	0.45%	(*.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
✓	43.33%	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 (.f64 eps eps) 1/4)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps 1/2))))

Compiler

Compiled 120 to 81 computations (32.5% saved)

series16.0ms (0.1%)

Counts

4 → 111

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 (.f64 eps eps) 1/4)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps 1/2))))
2.0ms	b	@	inf	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 (.f64 eps eps) 1/4)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps 1/2))))
2.0ms	a	@	inf	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 (.f64 eps eps) 1/4)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps 1/2))))
1.0ms	b	@	-inf	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 (.f64 eps eps) 1/4)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps 1/2))))
1.0ms	a	@	-inf	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 (.f64 eps eps) 1/4)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps 1/2))))

rewrite158.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`associate-+l+`
510×	`+-commutative`
470×	`add-sqr-sqrt`
456×	`pow1`
456×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	154
1	450	146
2	6942	146

Stop Event

1×	node limit

Counts

4 → 179

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 a) (fma.f64 eps 1/2 (/.f64 1 b)))) (neg.f64 (.f64 1/4 (/.f64 (.f64 eps eps) (+.f64 (/.f64 1 a) (fma.f64 eps 1/2 (/.f64 1 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 eps eps) (+.f64 (/.f64 1 a) (fma.f64 eps 1/2 (/.f64 1 b)))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 a) (fma.f64 eps 1/2 (/.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (+.f64 (/.f64 1 a) (fma.f64 eps 1/2 (/.f64 1 b)))) (.f64 1/4 (/.f64 (.f64 eps eps) (+.f64 (/.f64 1 a) (fma.f64 eps 1/2 (/.f64 1 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 2) (.f64 (.f64 eps eps) -1/4)) (+.f64 (/.f64 1 a) (fma.f64 eps 1/2 (/.f64 1 b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 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simplify157.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1130×	`associate-/r*`
1120×	`associate-r`
968×	`associate-l`
838×	`+-commutative`
700×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	750	19160
1	2396	18856

Stop Event

1×	node limit

Counts

290 → 364

Calls

Call 1

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

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

eval1.1s (6.6%)

Compiler: Compiled 45736 to 32090 computations (29.8% saved)

prune546.0ms (3.2%)

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	1250	4	1254
Fresh	0	6	6
Picked	1	0	1
Done	1	9	10
Total	1252	19	1271

Error

Counts

1271 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.82%	(/.f64 (/.f64 (+.f64 b a) b) a)
✓	58.76%	(/.f64 (/.f64 eps a) eps)
	61.3%	(/.f64 (/.f64 a b) a)
✓	16.2%	(/.f64 (+.f64 a b) (*.f64 a b))
	73.33%	(/.f64 eps (*.f64 eps a))
	47.28%	(/.f64 1 (/.f64 1 (+.f64 (*.f64 -1/2 eps) (/.f64 1 b))))
	97.03%	(/.f64 1 (+.f64 (/.f64 (.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) -4) (.f64 eps eps)) (/.f64 -2 eps)))
	48.7%	(/.f64 1 (.f64 (/.f64 1 (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 (.f64 eps eps) 1/4))) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 1/2 eps)))))
✓	47.46%	(/.f64 1 b)
✓	55.82%	(/.f64 1 a)
	47.28%	(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
✓	55.71%	(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
	61.75%	(-.f64 (+.f64 1 (/.f64 (/.f64 eps eps) a)) 1)
✓	3.98%	(+.f64 (/.f64 1 b) (/.f64 1 a))
	29.95%	(+.f64 (/.f64 1 a) (exp.f64 (log.f64 (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))))
	74.12%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	70.08%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
	78.22%	(.f64 eps (exp.f64 (log.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))))
✓	97.29%	(*.f64 eps -1/2)

Compiler

Compiled 249 to 181 computations (27.3% saved)

regimes83.0ms (0.5%)

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

30.0ms	a
17.0ms	b
16.0ms	eps
10.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Results

Error	Segments	Branch
3.8%	1	`a`
3.8%	1	`b`
3.8%	1	`eps`
0.03%	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 495 to 264 computations (46.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.2910896880971435e-5	+inf
0.0ms	-120296046327.30447	-4.957335830482259e-6

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes53.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	b
14.0ms	a
14.0ms	eps

Results

Error	Segments	Branch
3.8%	1	`a`
3.8%	1	`b`
3.8%	1	`eps`

Compiler

Compiled 370 to 220 computations (40.5% saved)

regimes37.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	eps
11.0ms	b
8.0ms	a

Results

Error	Segments	Branch
3.98%	1	`a`
3.98%	1	`b`
3.98%	1	`eps`

Compiler

Compiled 115 to 69 computations (40% saved)

regimes89.0ms (0.5%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	b
30.0ms	eps
23.0ms	a

Results

Error	Segments	Branch
18.66%	2	`a`
15.75%	2	`b`
32.56%	6	`eps`

Compiler

Compiled 53 to 31 computations (41.5% saved)

bsearch92.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
92.0ms	2.1226073729194926e-53	2.728277176417009e-51

Results

57.0ms	43×	body	2048	valid
29.0ms	54×	body	1024	valid
4.0ms	12×	body	512	valid
0.0ms	3×	body	256	valid
0.0ms	1×	body	256	unsamplable

Compiler

Compiled 131 to 108 computations (17.6% saved)

regimes11.0ms (0.1%)

Accuracy

Total -26.8b remaining (-75%)

Threshold costs -26.8b (-75%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1 a)

Calls

3 calls:

4.0ms	eps
3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
55.82%	1	`a`
55.82%	1	`b`
55.82%	1	`eps`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
20×	`+-commutative`
10×	`sub-neg`
4×	`distribute-lft-neg-in`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	354
1	74	354
2	85	354
3	89	354
4	91	354

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))) -100000000000) (+.f64 (/.f64 1 a) (-.f64 (/.f64 1 b) (.f64 eps 1/2))) (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))) 7378697629483821/147573952589676412928) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (/.f64 1 a) (-.f64 (/.f64 1 b) (*.f64 eps 1/2)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 b 1010998000018149/421249166674228746791672110734681729275580381602196445017243910144) (/.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))) -100000000000) (+.f64 (/.f64 1 a) (-.f64 (/.f64 1 b) (.f64 eps 1/2))) (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))) 7378697629483821/147573952589676412928) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) -100000000000) (+.f64 (/.f64 1 a) (-.f64 (/.f64 1 b) (.f64 eps 1/2))) (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))) 7378697629483821/147573952589676412928) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) -100000000000) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (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))) 7378697629483821/147573952589676412928) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (/.f64 1 a) (-.f64 (/.f64 1 b) (*.f64 eps 1/2)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(if (<=.f64 b 1010998000018149/421249166674228746791672110734681729275580381602196445017243910144) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(*.f64 eps -1/2)

Compiler

Compiled 142 to 92 computations (35.2% saved)

soundness311.0ms (1.8%)

Algorithm

4×	egg-herbie

Rules

1724×	`times-frac`
1724×	`times-frac`
1724×	`times-frac`
1388×	`associate-/r*`
1380×	`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	821	21653
1	2522	21641
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

Stop Event

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

Compiler

Compiled 655 to 265 computations (59.5% saved)

end110.0ms (0.6%)

Remove: (sort a b)
Compiler: Compiled 313 to 183 computations (41.5% saved)