Details

analyze559.0ms (4%)

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)

sample7.8s (55.6%)

Results

5.3s	4233×	body	2048	valid
1.4s	2462×	body	1024	valid
232.0ms	712×	body	512	valid
223.0ms	473×	body	1024	unsamplable
202.0ms	296×	body	2048	unsamplable
198.0ms	831×	body	256	valid
145.0ms	757×	body	256	unsamplable
70.0ms	245×	body	512	unsamplable
26.0ms	18×	body	4096	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess41.0ms (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)

simplify56.0ms (0.4%)

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

48.89%

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	49%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
▶	53.59%	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
▶	62.41%	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Status

Error

Program

▶

49%

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

▶

53.59%

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

▶

62.41%

(*.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))
✓	0.07%	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	22.63%	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	46.71%	(.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)

series28.0ms (0.2%)

Counts

4 → 132

Calls

36 calls:

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

rewrite148.0ms (1.1%)

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))))))

simplify136.0ms (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))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(*.f64 eps (+.f64 a b))
✓	7.34%	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
✓	29.13%	(/.f64 eps (expm1.f64 (*.f64 eps a)))
✓	35.59%	(.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)

series15.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite100.0ms (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)))))))))

simplify153.0ms (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)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(*.f64 eps (+.f64 a b))
✓	8.61%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
✓	20.24%	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
	29.13%	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series8.0ms (0.1%)

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))))
0.0ms	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)))

rewrite139.0ms (1%)

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))))))))))

simplify177.0ms (1.3%)

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)))))

eval426.0ms (3%)

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

prune288.0ms (2.1%)

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

0.44%

Counts

1217 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.17%	(/.f64 (+.f64 a b) (*.f64 a b))
	57.47%	(/.f64 1 b)
▶	46.86%	(/.f64 1 a)
	51.56%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
▶	69.09%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
	42.02%	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
▶	77.6%	(*.f64 eps (/.f64 (/.f64 1 eps) b))
	76.87%	(*.f64 eps (/.f64 (/.f64 1 eps) a))
	59.07%	(.f64 eps (/.f64 (+.f64 a b) (.f64 (*.f64 a eps) b)))
	78.19%	(.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	76.83%	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 266 to 174 computations (34.6% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	23.46%	(/.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))

rewrite60.0ms (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))))))))

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 49

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.27%	(/.f64 1 (*.f64 eps a))
✓	31.11%	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series10.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	(/.f64 1 (*.f64 eps a))
2.0ms	eps	@	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)))

rewrite58.0ms (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)))))))

simplify56.0ms (0.4%)

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)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.27%	(/.f64 (/.f64 1 eps) b)
✓	28.14%	(*.f64 eps (/.f64 (/.f64 1 eps) b))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1152×	`times-frac`
1116×	`associate-*r/`
1100×	`distribute-lft-neg-in`
926×	`associate-/l*`
726×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1255
1	324	1195
2	1091	1177
3	6664	1177

Stop Event

1×	node limit

Counts

103 → 69

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(expm1.f64 (*.f64 eps a))
	29.13%	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 27 to 9 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(expm1.f64 (*.f64 eps a))
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))

rewrite48.0ms (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))))))))

simplify49.0ms (0.4%)

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))

eval103.0ms (0.7%)

Compiler: Compiled 3728 to 1837 computations (50.7% saved)

prune50.0ms (0.4%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	276	7	283
Fresh	4	2	6
Picked	0	1	1
Done	1	3	4
Total	281	13	294

Error

Counts

294 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.17%	(/.f64 (+.f64 a b) (*.f64 a b))
	57.51%	(/.f64 (*.f64 (/.f64 -1 eps) eps) (neg.f64 b))
	74.92%	(/.f64 eps (*.f64 eps a))
▶	57.47%	(/.f64 1 b)
✓	46.86%	(/.f64 1 a)
▶	53.04%	(-.f64 (+.f64 1 (/.f64 (/.f64 eps eps) a)) 1)
▶	6.18%	(+.f64 (/.f64 1 b) (/.f64 1 a))
	19.68%	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))
✓	69.09%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
▶	46.13%	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1)
	71%	(.f64 (.f64 (/.f64 1 (expm1.f64 (*.f64 eps a))) eps) 1)
▶	76.87%	(*.f64 eps (/.f64 (/.f64 1 eps) a))
✓	76.83%	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 225 to 166 computations (26.2% saved)

localize33.0ms (0.2%)

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	a	@	0	(+.f64 (/.f64 1 b) (/.f64 1 a))
0.0ms	b	@	inf	(+.f64 (/.f64 1 b) (/.f64 1 a))
0.0ms	a	@	inf	(+.f64 (/.f64 1 b) (/.f64 1 a))
0.0ms	a	@	-inf	(+.f64 (/.f64 1 b) (/.f64 1 a))

rewrite61.0ms (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))))))

simplify65.0ms (0.5%)

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)))

localize3.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.34%	(/.f64 (/.f64 1 eps) a)
✓	31.11%	(*.f64 eps (/.f64 (/.f64 1 eps) a))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1152×	`times-frac`
1116×	`associate-*r/`
1100×	`distribute-lft-neg-in`
926×	`associate-/l*`
726×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1255
1	324	1195
2	1091	1177
3	6664	1177

Stop Event

1×	node limit

Counts

103 → 69

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1912×	`add-sqr-sqrt`
1886×	`*-un-lft-identity`
1766×	`add-cube-cbrt`
1750×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	191	15
2	2375	15

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1210×	`associate-/r*`
1112×	`associate-r`
900×	`associate-l`
610×	`associate-+r+`
478×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	1101
1	233	1047
2	813	1007
3	4224	1007

Stop Event

1×	node limit

Counts

43 → 46

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 1 (/.f64 (/.f64 eps eps) a))
✓	5%	(-.f64 (+.f64 1 (/.f64 (/.f64 eps eps) a)) 1)

Compiler

Compiled 30 to 12 computations (60% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1840×	`add-sqr-sqrt`
1824×	`*-un-lft-identity`
1708×	`add-cube-cbrt`
1694×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	207	20
2	2570	20

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

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

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

simplify142.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1380×	`associate-/l*`
1164×	`distribute-lft-in`
982×	`distribute-rgt-in`
950×	`associate-/r*`
760×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2495
1	459	2363
2	1927	2321

Stop Event

1×	node limit

Counts

139 → 114

Calls

Call 1

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

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

eval169.0ms (1.2%)

Compiler: Compiled 3504 to 2545 computations (27.4% saved)

prune78.0ms (0.6%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	280	4	284
Fresh	1	3	4
Picked	1	0	1
Done	2	6	8
Total	284	13	297

Error

Counts

297 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.57%	(/.f64 (/.f64 (+.f64 b a) b) a)
▶	74.92%	(/.f64 eps (*.f64 eps a))
✓	57.47%	(/.f64 1 b)
✓	46.86%	(/.f64 1 a)
▶	95.98%	(-.f64 1 1)
✓	6.18%	(+.f64 (/.f64 1 b) (/.f64 1 a))
▶	53.08%	(+.f64 (+.f64 (/.f64 1 a) -1) 1)
	19.68%	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))
✓	69.09%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
✓	46.13%	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1)
	71%	(.f64 (.f64 (/.f64 1 (expm1.f64 (*.f64 eps a))) eps) 1)
▶	96.59%	(.f64 (.f64 -1/2 eps) 1)
✓	76.87%	(*.f64 eps (/.f64 (/.f64 1 eps) a))

Compiler

Compiled 189 to 145 computations (23.3% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.03%	(/.f64 (+.f64 b a) b)
✓	12.57%	(/.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 b a) b)
0.0ms	b	@	-inf	(/.f64 (+.f64 b a) b)
0.0ms	a	@	-inf	(/.f64 (+.f64 b a) b)
0.0ms	a	@	0	(/.f64 (+.f64 b a) b)
0.0ms	a	@	inf	(/.f64 (+.f64 b a) b)

rewrite125.0ms (0.9%)

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

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(#(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)))))))

simplify81.0ms (0.6%)

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))

localize3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize7.0ms (0%)

Compiler: Compiled 14 to 11 computations (21.4% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	29.18%	(/.f64 eps (*.f64 eps a))

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 eps (*.f64 eps a))
0.0ms	eps	@	inf	(/.f64 eps (*.f64 eps a))
0.0ms	eps	@	-inf	(/.f64 eps (*.f64 eps a))
0.0ms	a	@	-inf	(/.f64 eps (*.f64 eps a))
0.0ms	a	@	inf	(/.f64 eps (*.f64 eps a))

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1130×	`associate-r`
910×	`associate-/l*`
810×	`associate-l`
796×	`associate-*r/`
792×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	99	632
1	259	596
2	854	596
3	4975	596

Stop Event

1×	node limit

Counts

60 → 48

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.09%	(+.f64 (+.f64 (/.f64 1 a) -1) 1)

Compiler

Compiled 21 to 17 computations (19% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1634×	`add-sqr-sqrt`
1612×	`*-un-lft-identity`
1512×	`add-cube-cbrt`
1502×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	178	7
2	2288	7

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate-+l-`
1116×	`associate-+r-`
742×	`associate--l-`
706×	`associate--r-`
682×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1191
1	278	1113
2	928	1005
3	4969	1005

Stop Event

1×	node limit

Counts

59 → 56

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

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

eval53.0ms (0.4%)

Compiler: Compiled 3700 to 1583 computations (57.2% saved)

prune47.0ms (0.3%)

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	276	1	277
Fresh	1	1	2
Picked	0	1	1
Done	0	10	10
Total	277	13	290

Error

Counts

290 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.57%	(/.f64 (/.f64 (+.f64 b a) b) a)
✓	74.92%	(/.f64 eps (*.f64 eps a))
✓	57.47%	(/.f64 1 b)
✓	46.86%	(/.f64 1 a)
✓	95.98%	(-.f64 1 1)
✓	6.18%	(+.f64 (/.f64 1 b) (/.f64 1 a))
✓	53.08%	(+.f64 (+.f64 (/.f64 1 a) -1) 1)
	19.68%	(*.f64 (/.f64 (+.f64 b a) a) (/.f64 1 b))
✓	69.09%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
✓	46.13%	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1)
	71%	(.f64 (.f64 (/.f64 1 (expm1.f64 (*.f64 eps a))) eps) 1)
✓	96.59%	(.f64 (.f64 -1/2 eps) 1)
✓	76.87%	(*.f64 eps (/.f64 (/.f64 1 eps) a))

Compiler

Compiled 122 to 94 computations (23% saved)

regimes145.0ms (1%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

4 calls:

60.0ms	(/.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)))
32.0ms	b
23.0ms	eps
22.0ms	a

Results

Error	Segments	Branch
4.16%	2	`a`
3.61%	2	`b`
4.08%	2	`eps`
0.02%	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 308 to 146 computations (52.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2020709171776048e-5	+inf
0.0ms	-inf	-8.845746673899036e-32

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes120.0ms (0.9%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

3 calls:

73.0ms	eps
21.0ms	b
21.0ms	a

Results

Error	Segments	Branch
4.3%	2	`a`
3.61%	2	`b`
4.08%	2	`eps`

Compiler

Compiled 203 to 108 computations (46.8% saved)

bsearch184.0ms (1.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
184.0ms	-1.2316554062579906e+179	-3.562887064948952e+145

Results

141.0ms	83×	body	2048	valid
15.0ms	34×	body	1024	valid
6.0ms	41×	body	256	valid
5.0ms	17×	body	512	valid
4.0ms	10×	body	1024	unsamplable
4.0ms	25×	body	256	unsamplable
3.0ms	6×	body	2048	unsamplable
3.0ms	10×	body	512	unsamplable
1.0ms	1×	body	4096	valid

Compiler

Compiled 286 to 222 computations (22.4% saved)

regimes31.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	eps
9.0ms	a
8.0ms	b

Results

Error	Segments	Branch
6.18%	1	`a`
6.18%	1	`b`
6.18%	1	`eps`

Compiler

Compiled 138 to 83 computations (39.9% saved)

regimes150.0ms (1.1%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

3 calls:

117.0ms	eps
20.0ms	b
10.0ms	a

Results

Error	Segments	Branch
19.72%	2	`a`
19.53%	4	`b`
31.57%	6	`eps`

Compiler

Compiled 62 to 42 computations (32.3% saved)

bsearch408.0ms (2.9%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
140.0ms	2.8999588320161883e-105	1.222298468933312e-102
127.0ms	1.157576585364578e-159	1.813628471447838e-158
140.0ms	9.51938038631909e-212	6.119901686052472e-210

Results

335.0ms	236×	body	2048	valid
44.0ms	93×	body	1024	valid
2.0ms	7×	body	512	valid
0.0ms	3×	body	256	unsamplable

Compiler

Compiled 379 to 328 computations (13.5% saved)

regimes70.0ms (0.5%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	eps
19.0ms	b
12.0ms	a

Results

Error	Segments	Branch
19.72%	2	`a`
19.53%	4	`b`
31.57%	6	`eps`

Compiler

Compiled 55 to 36 computations (34.5% saved)

bsearch272.0ms (2%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
92.0ms	2.8999588320161883e-105	1.222298468933312e-102
81.0ms	1.157576585364578e-159	1.813628471447838e-158
98.0ms	9.51938038631909e-212	6.119901686052472e-210

Results

217.0ms	233×	body	2048	valid
44.0ms	94×	body	1024	valid
2.0ms	1×	body	4096	valid
2.0ms	8×	body	512	valid
1.0ms	6×	body	256	unsamplable

Compiler

Compiled 327 to 276 computations (15.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total -32.5b remaining (-108.4%)

Threshold costs -32.5b (-108.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1 a)

Calls

3 calls:

3.0ms	a
3.0ms	b
3.0ms	eps

Results

Error	Segments	Branch
46.86%	1	`a`
46.86%	1	`b`
46.86%	1	`eps`

Compiler

Compiled 21 to 17 computations (19% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
14×	`+-commutative`
6×	`sub-neg`
6×	`if-if-or-not`
4×	`not-or`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	437
1	91	437
2	97	437
3	100	433
4	101	433
5	102	433

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 5902958103587057/295147905179352825856) (.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 b -120000000000000006292574213700754046345685601853156695326793646919816742017044626365851481970654291391864695637003186133952144820162246929820787575527108287261802884721449331851264) (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 b 2220894945574821/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (/.f64 1 b) (if (<=.f64 b 4748743708283607/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (+.f64 (+.f64 (/.f64 1 a) -1) 1) (if (<=.f64 b 378259259485387/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b 2220894945574821/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (/.f64 1 b) (if (<=.f64 b 4748743708283607/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (/.f64 1 a) (if (<=.f64 b 2975639507951711/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (/.f64 1 b) (/.f64 1 a))))
(/.f64 1 a)
(-.f64 1 1)

Outputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 5902958103587057/295147905179352825856) (.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 (or (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) -inf.0) (not (<=.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))) 5902958103587057/295147905179352825856))) (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
(if (<=.f64 b -120000000000000006292574213700754046345685601853156695326793646919816742017044626365851481970654291391864695637003186133952144820162246929820787575527108287261802884721449331851264) (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(if (<=.f64 b -120000000000000006292574213700754046345685601853156695326793646919816742017044626365851481970654291391864695637003186133952144820162246929820787575527108287261802884721449331851264) (/.f64 eps (expm1.f64 (*.f64 eps a))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 b 2220894945574821/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (/.f64 1 b) (if (<=.f64 b 4748743708283607/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (+.f64 (+.f64 (/.f64 1 a) -1) 1) (if (<=.f64 b 378259259485387/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b 2220894945574821/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (/.f64 1 b) (if (<=.f64 b 4748743708283607/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (+.f64 1 (+.f64 (/.f64 1 a) -1)) (if (<=.f64 b 378259259485387/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b 2220894945574821/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (/.f64 1 b) (if (<=.f64 b 4748743708283607/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (/.f64 1 a) (if (<=.f64 b 2975639507951711/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (/.f64 1 b) (/.f64 1 a))))
(if (or (<=.f64 b 2220894945574821/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (and (not (<=.f64 b 4748743708283607/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176)) (<=.f64 b 2975639507951711/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224))) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(-.f64 1 1)
0

Compiler

Compiled 176 to 118 computations (33% saved)

soundness160.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1724×	`times-frac`
1724×	`times-frac`
1096×	`associate-/l*`
1096×	`associate-/l*`
824×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 342 to 134 computations (60.8% saved)

end120.0ms (0.9%)

Remove: (sort a b)
Compiler: Compiled 324 to 190 computations (41.4% saved)