Details

analyze766.0ms (5.7%)

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)

sample7.7s (57.5%)

Results

4.6s	4198×	body	2048	valid
1.6s	2473×	body	1024	valid
691.0ms	768×	body	512	valid
265.0ms	466×	body	1024	unsamplable
187.0ms	292×	body	2048	unsamplable
129.0ms	825×	body	256	unsamplable
127.0ms	808×	body	256	valid
60.0ms	208×	body	512	unsamplable
12.0ms	9×	body	4096	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess38.0ms (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)

simplify53.0ms (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

33.7b

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.8b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
▶	36.6b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
▶	41.2b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Status

Error

Program

▶

33.8b

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

▶

36.6b

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

▶

41.2b

(*.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)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.3b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	10.8b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	32.2b	(.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)

series30.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
3.0ms	a	@	0	(expm1.f64 (*.f64 eps (+.f64 a b)))
3.0ms	eps	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	a	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	eps	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

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

simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	648	18454
1	2075	18382

Stop Event

1×	node limit

Counts

278 → 333

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	5.0b	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
✓	19.1b	(/.f64 eps (expm1.f64 (*.f64 eps a)))
✓	22.8b	(.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)

series12.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite102.0ms (0.8%)

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

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simplify136.0ms (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
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(.f64 (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) (/.f64 (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 eps b))))
(.f64 (cbrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps 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)))
(fma.f64 eps (-.f64 (/.f64 (.f64 1/2 (pow.f64 (+.f64 a b) 2)) (.f64 a b)) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 1/2 (/.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a b)) (.f64 a (*.f64 b b))))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 1/4 (.f64 a a)) (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))))))) (.f64 eps eps) (fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (-.f64 (-.f64 (/.f64 1/6 (/.f64 (.f64 a b) (pow.f64 (+.f64 a b) 3))) (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 b b) (.f64 (.f64 a a) 1/4)))) (/.f64 (.f64 b b) (/.f64 (+.f64 a b) (.f64 a a))))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 a (.f64 a b)) (.f64 a (.f64 b b)))) b) (/.f64 (-.f64 (/.f64 (.f64 1/2 (pow.f64 (+.f64 a b) 2)) (.f64 a b)) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 1/2 (/.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a b)) (.f64 a (.f64 b b))))))) a))) (.f64 eps eps) (fma.f64 eps (-.f64 (/.f64 (.f64 1/2 (pow.f64 (+.f64 a b) 2)) (.f64 a b)) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (/.f64 1/2 (/.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a b)) (.f64 a (.f64 b b))))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
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(/.f64 (/.f64 eps (sqrt.f64 (expm1.f64 (.f64 b eps)))) (.f64 (expm1.f64 (.f64 a eps)) (sqrt.f64 (expm1.f64 (.f64 b eps)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) 2)) (cbrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (*.f64 eps a)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 b eps))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 a eps)))) 2) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 b eps))) 2) (cbrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps))))))
(.f64 (/.f64 (sqrt.f64 eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) (sqrt.f64 eps))
(.f64 (/.f64 (sqrt.f64 eps) (expm1.f64 (.f64 a eps))) (/.f64 (sqrt.f64 eps) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 eps)) (expm1.f64 (.f64 a eps))) (expm1.f64 (*.f64 b eps)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) 2) (expm1.f64 (.f64 eps b))) (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (-.f64 (*.f64 (pow.f64 (exp.f64 b) eps) (pow.f64 (exp.f64 b) eps)) 1)) (+.f64 1 (pow.f64 (exp.f64 b) eps)))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (+.f64 (pow.f64 (exp.f64 b) (*.f64 2 eps)) -1)) (+.f64 1 (pow.f64 (exp.f64 b) eps)))
(.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (+.f64 -1 (pow.f64 (exp.f64 b) (.f64 eps 2))))) (+.f64 1 (pow.f64 (exp.f64 b) eps)))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (-.f64 (pow.f64 (pow.f64 (exp.f64 b) eps) 3) 1)) (+.f64 (+.f64 (.f64 (pow.f64 (exp.f64 b) eps) (pow.f64 (exp.f64 b) eps)) 1) (.f64 (pow.f64 (exp.f64 b) eps) 1)))
(.f64 (/.f64 eps (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 b) eps) 3) -1) (expm1.f64 (.f64 a eps)))) (+.f64 (pow.f64 (exp.f64 b) (.f64 2 eps)) (+.f64 1 (pow.f64 (exp.f64 b) eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 b) eps) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 b) (.f64 eps 2)) (pow.f64 (exp.f64 b) eps)))))
(.f64 (/.f64 1 (/.f64 (expm1.f64 (.f64 eps b)) (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) 2))) (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) (cbrt.f64 eps))
(.f64 (/.f64 (cbrt.f64 eps) (expm1.f64 (.f64 a eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (expm1.f64 (*.f64 b eps))))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (expm1.f64 (*.f64 eps a))) eps)
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) 1) (/.f64 eps (expm1.f64 (*.f64 eps a))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (sqrt.f64 (expm1.f64 (.f64 eps a)))) (/.f64 eps (sqrt.f64 (expm1.f64 (.f64 eps a)))))
(.f64 (/.f64 eps (sqrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 1 (.f64 (sqrt.f64 (expm1.f64 (.f64 a eps))) (expm1.f64 (*.f64 b eps)))))
(/.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (sqrt.f64 (expm1.f64 (.f64 a eps)))) (sqrt.f64 (expm1.f64 (*.f64 a eps))))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (/.f64 eps (cbrt.f64 (expm1.f64 (.f64 eps a)))))
(.f64 (/.f64 eps (cbrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) 2) (expm1.f64 (*.f64 b eps)))))
(/.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (cbrt.f64 (expm1.f64 (.f64 a eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a eps))) 2))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (neg.f64 (expm1.f64 (*.f64 eps a)))) (neg.f64 eps))
(.f64 (/.f64 (neg.f64 eps) (expm1.f64 (.f64 a eps))) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 b eps)))))
(/.f64 (neg.f64 eps) (.f64 (expm1.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (*.f64 eps a)) 1)) eps)
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (*.f64 eps a)) (sqrt.f64 eps))) (sqrt.f64 eps))
(.f64 (/.f64 (sqrt.f64 eps) (expm1.f64 (.f64 a eps))) (/.f64 (sqrt.f64 eps) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 eps)) (expm1.f64 (.f64 a eps))) (expm1.f64 (*.f64 b eps)))
(.f64 (/.f64 (/.f64 1 (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (*.f64 eps a)) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps))
(.f64 (cbrt.f64 eps) (.f64 (/.f64 1 (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (pow.f64 (cbrt.f64 eps) 2)))
(.f64 (cbrt.f64 eps) (/.f64 (.f64 (/.f64 (cbrt.f64 eps) (expm1.f64 (.f64 a eps))) (cbrt.f64 eps)) (expm1.f64 (.f64 b eps))))
(.f64 (/.f64 (.f64 eps (/.f64 1 (expm1.f64 (.f64 eps b)))) (-.f64 (.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) 1)) (+.f64 1 (pow.f64 (exp.f64 a) eps)))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) eps)) (/.f64 eps (/.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 2 eps)) -1) (/.f64 1 (expm1.f64 (*.f64 b eps))))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) eps)) (/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 eps 2)))))
(.f64 (/.f64 (.f64 eps (/.f64 1 (expm1.f64 (.f64 eps b)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) 1)) (+.f64 (.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) eps) 1))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 2 eps)) (+.f64 1 (pow.f64 (exp.f64 a) eps))) (/.f64 (/.f64 (.f64 eps 1) (expm1.f64 (.f64 b eps))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) -1)))
(.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) (.f64 eps 2)))) (/.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) eps) 3))))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (-.f64 (*.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) 1)) (+.f64 1 (pow.f64 (exp.f64 a) eps)))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) eps)) (/.f64 eps (/.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 2 eps)) -1) (/.f64 1 (expm1.f64 (*.f64 b eps))))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) eps)) (/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 eps 2)))))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (-.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) 1)) (+.f64 (.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) eps)) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) eps) 1))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 2 eps)) (+.f64 1 (pow.f64 (exp.f64 a) eps))) (/.f64 (/.f64 (.f64 eps 1) (expm1.f64 (.f64 b eps))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) eps) 3) -1)))
(.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 (exp.f64 a) (.f64 eps 2)))) (/.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) eps) 3))))
(pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))) 1)
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))) 2)
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))) 3)
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(pow.f64 (pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))) 3) 1/3)
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(pow.f64 (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (*.f64 eps a)) eps)) -1)
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(neg.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (neg.f64 (expm1.f64 (.f64 eps b)))))
(.f64 (/.f64 (neg.f64 eps) (expm1.f64 (.f64 a eps))) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 b eps)))))
(/.f64 (neg.f64 eps) (.f64 (expm1.f64 (.f64 a eps)) (neg.f64 (expm1.f64 (*.f64 b eps)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))) 3))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 3) (pow.f64 (expm1.f64 (.f64 eps b)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) 3) (pow.f64 (expm1.f64 (.f64 b eps)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(exp.f64 (log.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (*.f64 eps a)))) 1))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	6.1b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
✓	11.5b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
	19.1b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series7.0ms (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))))
1.0ms	b	@	-inf	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
0.0ms	eps	@	-inf	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 217

Calls

Call 1

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

Outputs

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

simplify146.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	821	21653
1	2522	21641

Stop Event

1×	node limit

Counts

289 → 402

Calls

Call 1

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

eval416.0ms (3.1%)

Compiler: Compiled 45957 to 13830 computations (69.9% saved)

prune346.0ms (2.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1230	10	1240
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1233	10	1243

Error

0.3b

Counts

1243 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.9b	(/.f64 (+.f64 a b) (*.f64 a b))
	34.0b	(/.f64 1 b)
▶	32.1b	(/.f64 1 a)
	23.0b	(+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (.f64 a eps)))) (-.f64 (/.f64 1 b) (*.f64 eps 1/2)))
	33.4b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
	44.8b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (.f64 (+.f64 a b) eps) (expm1.f64 (.f64 eps b))))
▶	47.7b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
▶	42.5b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 eps) (*.f64 a b)))
	38.7b	(.f64 eps (/.f64 (+.f64 a b) (.f64 (*.f64 a eps) b)))
▶	50.3b	(.f64 eps (/.f64 1 (.f64 eps b)))

Compiler

Compiled 262 to 170 computations (35.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.7b	(/.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	a	@	inf	(/.f64 (+.f64 a b) (*.f64 a b))
0.0ms	b	@	-inf	(/.f64 (+.f64 a b) (*.f64 a b))
0.0ms	b	@	inf	(/.f64 (+.f64 a b) (*.f64 a b))
0.0ms	a	@	0	(/.f64 (+.f64 a b) (*.f64 a b))

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

simplify55.0ms (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
✓	0.1b	(/.f64 1 (*.f64 eps b))
✓	17.7b	(.f64 eps (/.f64 1 (.f64 eps b)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite65.0ms (0.5%)

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

Outputs

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

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

simplify54.0ms (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 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 (+.f64 1 (/.f64 (/.f64 eps eps) b)) 1)
(/.f64 eps (*.f64 eps b))
(/.f64 1 (/.f64 (*.f64 eps b) eps))
(/.f64 (sqrt.f64 eps) (/.f64 (*.f64 eps b) (sqrt.f64 eps)))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (*.f64 eps b) (cbrt.f64 eps)))
(/.f64 (*.f64 eps (pow.f64 eps -1)) b)
(/.f64 (.f64 eps -1) (.f64 eps (neg.f64 b)))
(/.f64 (*.f64 (pow.f64 eps -1) eps) b)
(/.f64 (.f64 -1 eps) (.f64 eps (neg.f64 b)))
(/.f64 (/.f64 eps eps) b)
(/.f64 (/.f64 eps 1) (*.f64 eps b))
(/.f64 (/.f64 eps b) eps)
(/.f64 (/.f64 eps (sqrt.f64 (.f64 eps b))) (sqrt.f64 (.f64 eps b)))
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (.f64 eps b)) 2)) (cbrt.f64 (.f64 eps b)))
(/.f64 (neg.f64 eps) (*.f64 eps (neg.f64 b)))
(pow.f64 (/.f64 (/.f64 eps eps) b) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 eps eps) b)) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 eps eps) b)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 eps eps) b) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 eps eps) b) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 eps eps) b)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 eps eps) b) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 eps eps) b)))
(exp.f64 (log.f64 (/.f64 (/.f64 eps eps) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 eps eps) b)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 eps eps) b)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 eps -1) b)) 1)
(*.f64 1 (/.f64 (pow.f64 eps -1) b))
(*.f64 (/.f64 (pow.f64 eps -1) b) 1)
(.f64 (pow.f64 (.f64 eps b) -1/2) (pow.f64 (*.f64 eps b) -1/2))
(.f64 (cbrt.f64 (/.f64 (pow.f64 eps -1) b)) (cbrt.f64 (pow.f64 (.f64 eps b) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 eps b) -2)) (cbrt.f64 (/.f64 (pow.f64 eps -1) b)))
(*.f64 (pow.f64 eps -1) (/.f64 1 b))
(*.f64 (pow.f64 eps -1) (pow.f64 b -1))
(.f64 -1 (/.f64 1 (.f64 eps (neg.f64 b))))
(*.f64 (pow.f64 b -1) (pow.f64 eps -1))
(.f64 (pow.f64 (sqrt.f64 (.f64 eps b)) -1) (pow.f64 (sqrt.f64 (*.f64 eps b)) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 eps b)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 eps b)) -1))
(pow.f64 (*.f64 eps b) -1)
(pow.f64 (/.f64 (pow.f64 eps -1) b) 1)
(pow.f64 (pow.f64 (*.f64 eps b) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 eps -1) b)) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 eps -1) b) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps b) -2))
(log.f64 (exp.f64 (/.f64 (pow.f64 eps -1) b)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 eps -1) b) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 eps -1) b)))
(exp.f64 (neg.f64 (log.f64 (*.f64 eps b))))
(exp.f64 (.f64 (log.f64 (.f64 eps b)) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 eps b))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 eps -1) b)))

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps a))
	19.1b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 27 to 9 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (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))))))))

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 35

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 eps (+.f64 a b))
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	4.6b	(/.f64 (/.f64 1 eps) (*.f64 a b))
✓	22.1b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 eps) (*.f64 a b)))

Compiler

Compiled 48 to 17 computations (64.6% saved)

series54.0ms (0.4%)

Counts

3 → 96

Calls

27 calls:

Time	Variable		Point	Expression
44.0ms	eps	@	-inf	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 eps) (*.f64 a b)))
1.0ms	a	@	-inf	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 eps) (*.f64 a b)))
1.0ms	b	@	-inf	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 eps) (*.f64 a b)))
1.0ms	eps	@	inf	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 eps) (*.f64 a b)))
1.0ms	a	@	inf	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 eps) (*.f64 a b)))

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`associate-/l*`
756×	`distribute-rgt-in`
712×	`distribute-lft-in`
482×	`associate-/l/`
416×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	299	67
2	4187	67

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

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

Outputs

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

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

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

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1752×	`distribute-lft-in`
1448×	`associate-/r/`
580×	`associate-r`
558×	`+-commutative`
554×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	414	6960
1	1242	6762
2	5196	6762

Stop Event

1×	node limit

Counts

222 → 223

Calls

Call 1

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

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

eval112.0ms (0.8%)

Compiler: Compiled 9574 to 3755 computations (60.8% saved)

prune122.0ms (0.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	498	5	503
Fresh	4	1	5
Picked	1	0	1
Done	1	3	4
Total	504	9	513

Error

0.0b

Counts

513 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.9b	(/.f64 (/.f64 eps b) eps)
✓	12.9b	(/.f64 (+.f64 a b) (*.f64 a b))
▶	49.7b	(/.f64 eps (*.f64 eps b))
▶	34.0b	(/.f64 1 b)
✓	32.1b	(/.f64 1 a)
▶	2.8b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	12.4b	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))
✓	47.7b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
▶	32.0b	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1)

Compiler

Compiled 139 to 101 computations (27.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

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	a	@	-inf	(+.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))

rewrite78.0ms (0.6%)

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))))))

simplify61.0ms (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)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	17.1b	(/.f64 eps (*.f64 eps b))

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

rewrite52.0ms (0.4%)

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 b))

Outputs

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

simplify51.0ms (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 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 (+.f64 1 (/.f64 1 b)) 1)
(.f64 eps (/.f64 1 (.f64 eps b)))
(*.f64 (/.f64 1 b) 1)
(*.f64 1 (/.f64 1 b))
(*.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 1 (sqrt.f64 b)))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (*.f64 eps b))))
(*.f64 (/.f64 1 (cbrt.f64 b)) (pow.f64 (/.f64 1 (cbrt.f64 b)) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 b)) 2) (/.f64 1 (cbrt.f64 b)))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 1 (*.f64 eps b))))
(.f64 (/.f64 1 (.f64 eps b)) eps)
(.f64 (neg.f64 eps) (/.f64 1 (.f64 b (neg.f64 eps))))
(*.f64 (/.f64 1 eps) (/.f64 eps b))
(.f64 (/.f64 1 (sqrt.f64 (.f64 eps b))) (/.f64 eps (sqrt.f64 (*.f64 eps b))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 eps b)) 2)) (/.f64 eps (cbrt.f64 (*.f64 eps b))))
(.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (.f64 eps b)))
(*.f64 (/.f64 (sqrt.f64 eps) eps) (/.f64 (sqrt.f64 eps) b))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (.f64 eps b)))
(*.f64 (/.f64 (sqrt.f64 eps) b) (/.f64 (sqrt.f64 eps) eps))
(.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (.f64 eps b)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 eps b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) (/.f64 (cbrt.f64 eps) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) b) (/.f64 (cbrt.f64 eps) eps))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (.f64 eps b))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 eps b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (.f64 eps b)) 2)) (/.f64 1 (cbrt.f64 b)))
(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)
(pow.f64 (/.f64 b 1) -1)
(neg.f64 (/.f64 eps (*.f64 b (neg.f64 eps))))
(sqrt.f64 (/.f64 1 (*.f64 b b)))
(log.f64 (exp.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 (*.f64 (-.f64 0 (log.f64 b)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 b)))

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.5b	(/.f64 (/.f64 eps b) eps)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 42

Calls

Call 1

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

simplify54.0ms (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))

eval68.0ms (0.5%)

Compiler: Compiled 2308 to 1403 computations (39.2% saved)

prune65.0ms (0.5%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	0	1	1
Picked	1	0	1
Done	0	7	7
Total	191	9	200

Error

0.0b

Counts

200 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.9b	(/.f64 (/.f64 eps b) eps)
✓	12.9b	(/.f64 (+.f64 a b) (*.f64 a b))
✓	49.7b	(/.f64 eps (*.f64 eps b))
✓	34.0b	(/.f64 1 b)
✓	32.1b	(/.f64 1 a)
✓	2.8b	(+.f64 (/.f64 1 b) (/.f64 1 a))
▶	12.4b	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))
✓	47.7b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
▶	62.1b	(.f64 (.f64 -1/2 eps) 1)

Compiler

Compiled 79 to 57 computations (27.8% saved)

localize5.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) a)
✓	8.9b	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`associate-/l*`
1056×	`*-commutative`
642×	`associate-/l/`
620×	`swap-sqr`
450×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	201	32
2	2913	32

Stop Event

1×	node limit

Counts

2 → 170

Calls

Call 1

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

Outputs

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

simplify105.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1158×	`unswap-sqr`
658×	`associate-/r*`
586×	`associate-/l*`
494×	`*-commutative`
420×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	434	6086
1	1232	5798
2	5001	5782

Stop Event

1×	node limit

Counts

218 → 252

Calls

Call 1

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

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

eval79.0ms (0.6%)

Compiler: Compiled 4101 to 1440 computations (64.9% saved)

prune87.0ms (0.6%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	251	1	252
Fresh	0	0	0
Picked	0	1	1
Done	1	7	8
Total	252	9	261

Error

Counts

261 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.9b	(/.f64 (/.f64 eps b) eps)
✓	12.9b	(/.f64 (+.f64 a b) (*.f64 a b))
	12.4b	(/.f64 (+.f64 1 (/.f64 b a)) b)
✓	49.7b	(/.f64 eps (*.f64 eps b))
✓	34.0b	(/.f64 1 b)
✓	32.1b	(/.f64 1 a)
✓	12.4b	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))
✓	47.7b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
✓	62.1b	(.f64 (.f64 -1/2 eps) 1)

Compiler

Compiled 79 to 56 computations (29.1% saved)

regimes86.0ms (0.6%)

Counts

21 → 3

Calls

Call 1

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

28.0ms	b
14.0ms	eps
9.0ms	a
7.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Results

Error	Segments	Branch
2.8b	1	`a`
1.6b	3	`b`
2.8b	1	`eps`
0.0b	3	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))`

Compiler

Compiled 268 to 119 computations (55.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.0563026127150702e-22	7.63356771852095e-5
0.0ms	-inf	0.0

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes44.0ms (0.3%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	b
8.0ms	eps
8.0ms	a

Results

Error	Segments	Branch
2.8b	1	`a`
1.6b	3	`b`
2.8b	1	`eps`

Compiler

Compiled 163 to 81 computations (50.3% saved)

bsearch188.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
126.0ms	1.0811835245236947e+176	9.343138923579675e+179
62.0ms	2.4994251769488677e+116	4.776699885259609e+118

Results

122.0ms	79×	body	2048	valid
31.0ms	66×	body	1024	valid
14.0ms	48×	body	512	valid
7.0ms	47×	body	256	valid
4.0ms	9×	body	1024	unsamplable
4.0ms	7×	body	2048	unsamplable
2.0ms	12×	body	256	unsamplable
1.0ms	4×	body	512	unsamplable

Compiler

Compiled 379 to 280 computations (26.1% saved)

regimes29.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	b
6.0ms	a
5.0ms	eps

Results

Error	Segments	Branch
2.8b	1	`a`
1.7b	3	`b`
2.8b	1	`eps`

Compiler

Compiled 64 to 39 computations (39.1% saved)

bsearch144.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
82.0ms	1.0811835245236947e+176	9.343138923579675e+179
63.0ms	2.4994251769488677e+116	4.776699885259609e+118

Results

81.0ms	97×	body	2048	valid
23.0ms	49×	body	1024	valid
12.0ms	42×	body	512	valid
10.0ms	10×	body	2048	unsamplable
7.0ms	52×	body	256	valid
4.0ms	10×	body	1024	unsamplable
2.0ms	14×	body	256	unsamplable
1.0ms	4×	body	512	unsamplable

Compiler

Compiled 331 to 240 computations (27.5% saved)

regimes24.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	a
5.0ms	b
5.0ms	eps

Results

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

Compiler

Compiled 57 to 36 computations (36.8% saved)

regimes123.0ms (0.9%)

Accuracy

Total -52.3b remaining (-491.8%)

Threshold costs -52.3b (-491.8%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

3 calls:

68.0ms	b
32.0ms	eps
21.0ms	a

Results

Error	Segments	Branch
11.6b	4	`a`
10.6b	4	`b`
22.6b	8	`eps`

Compiler

Compiled 43 to 27 computations (37.2% saved)

bsearch510.0ms (3.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
43.0ms	1.6041409227743975e-49	1.662211506985914e-49
353.0ms	1.2459524106669055e-81	1.6603164331202052e-79
114.0ms	1.0062165422030414e-153	1.607643374589769e-146

Results

426.0ms	169×	body	2048	valid
76.0ms	94×	body	1024	valid
3.0ms	9×	body	512	valid
0.0ms	2×	body	256	unsamplable

Compiler

Compiled 271 to 228 computations (15.9% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
12×	`+-commutative`
6×	`sub-neg`
6×	`if-if-or-not`
4×	`not-or`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	462
1	97	462
2	103	462
3	106	458
4	107	458
5	108	458

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))) 5316911983139663/10633823966279326983230456482242756608) (.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 21999999999999998592506575021861007035898649038166259251599408054908394045008140343867279218630305270065996560649420800) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 b 949999999999999950840109045180649111738163845579222942870446435473049946084980694602564124161613326500033746174009699595527779222158095483832715085381680782635272191677869064192) (/.f64 (+.f64 a b) (.f64 a b)) (.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 1)))
(if (<=.f64 b 7799999999999999806399341441087658479651650191046802569427812478737912647774127162433654156627237147688511499449401344) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 b 250000000000000002312136504972899611141552585414386653976880347158351626427029597327113727160625551634020469261085247285923449521554532808093468915828489678174986242426626189033472) (/.f64 (+.f64 a b) (*.f64 a b)) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 b 3599131035634557/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (/.f64 1 b) (if (<=.f64 b 3203980553881365/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 1 a) (if (<=.f64 b 2132573906288283/13164036458569648337239753460458804039861886925068638906788872192) (/.f64 1 b) (/.f64 1 a))))
(/.f64 1 a)

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))) 5316911983139663/10633823966279326983230456482242756608) (.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))) 5316911983139663/10633823966279326983230456482242756608))) (+.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 21999999999999998592506575021861007035898649038166259251599408054908394045008140343867279218630305270065996560649420800) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 b 949999999999999950840109045180649111738163845579222942870446435473049946084980694602564124161613326500033746174009699595527779222158095483832715085381680782635272191677869064192) (/.f64 (+.f64 a b) (.f64 a b)) (.f64 (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)) 1)))
(if (<=.f64 b 21999999999999998592506575021861007035898649038166259251599408054908394045008140343867279218630305270065996560649420800) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 b 949999999999999950840109045180649111738163845579222942870446435473049946084980694602564124161613326500033746174009699595527779222158095483832715085381680782635272191677869064192) (/.f64 (+.f64 a b) (.f64 a b)) (+.f64 (/.f64 1 a) (.f64 eps -1/2))))
(if (<=.f64 b 7799999999999999806399341441087658479651650191046802569427812478737912647774127162433654156627237147688511499449401344) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 b 250000000000000002312136504972899611141552585414386653976880347158351626427029597327113727160625551634020469261085247285923449521554532808093468915828489678174986242426626189033472) (/.f64 (+.f64 a b) (*.f64 a b)) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 b 3599131035634557/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (/.f64 1 b) (if (<=.f64 b 3203980553881365/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 1 a) (if (<=.f64 b 2132573906288283/13164036458569648337239753460458804039861886925068638906788872192) (/.f64 1 b) (/.f64 1 a))))
(if (or (<=.f64 b 3599131035634557/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (and (not (<=.f64 b 3203980553881365/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144)) (<=.f64 b 2132573906288283/13164036458569648337239753460458804039861886925068638906788872192))) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)

Compiler

Compiled 181 to 117 computations (35.4% saved)

soundness167.0ms (1.2%)

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)

end75.0ms (0.6%)

Remove: (sort a b)
Compiler: Compiled 332 to 190 computations (42.8% saved)

Details

analyze766.0ms (5.7%)

sample7.7s (57.5%)

preprocess38.0ms (0.3%)

simplify53.0ms (0.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize19.0ms (0.1%)

series30.0ms (0.2%)

rewrite93.0ms (0.7%)

simplify129.0ms (1%)

localize22.0ms (0.2%)

series12.0ms (0.1%)

rewrite102.0ms (0.8%)

simplify136.0ms (1%)

localize20.0ms (0.2%)

series7.0ms (0.1%)

rewrite102.0ms (0.8%)

simplify146.0ms (1.1%)

eval416.0ms (3.1%)

prune346.0ms (2.6%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite58.0ms (0.4%)

simplify55.0ms (0.4%)

localize3.0ms (0%)

localize7.0ms (0.1%)

series3.0ms (0%)

rewrite65.0ms (0.5%)

simplify54.0ms (0.4%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite46.0ms (0.3%)

simplify47.0ms (0.3%)

localize15.0ms (0.1%)

series54.0ms (0.4%)

rewrite81.0ms (0.6%)

simplify121.0ms (0.9%)

eval112.0ms (0.8%)

prune122.0ms (0.9%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite78.0ms (0.6%)

simplify61.0ms (0.5%)

localize3.0ms (0%)

localize5.0ms (0%)

series0.0ms (0%)

rewrite52.0ms (0.4%)

simplify51.0ms (0.4%)

localize5.0ms (0%)

series0.0ms (0%)

rewrite71.0ms (0.5%)

simplify52.0ms (0.4%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite59.0ms (0.4%)

simplify54.0ms (0.4%)

eval68.0ms (0.5%)

prune65.0ms (0.5%)

localize5.0ms (0%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite75.0ms (0.6%)

simplify105.0ms (0.8%)

eval79.0ms (0.6%)

prune87.0ms (0.6%)

regimes86.0ms (0.6%)

bsearch1.0ms (0%)

regimes44.0ms (0.3%)

bsearch188.0ms (1.4%)

regimes29.0ms (0.2%)

bsearch144.0ms (1.1%)

regimes24.0ms (0.2%)

regimes123.0ms (0.9%)

bsearch510.0ms (3.8%)

simplify12.0ms (0.1%)

soundness167.0ms (1.2%)

end75.0ms (0.6%)

Profiling