Details

analyze991.0ms (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)

sample6.3s (44.9%)

Results

4.1s	4281×	body	2048	valid
1.3s	2423×	body	1024	valid
224.0ms	739×	body	512	valid
199.0ms	305×	body	2048	unsamplable
182.0ms	449×	body	1024	unsamplable
132.0ms	757×	body	256	unsamplable
122.0ms	802×	body	256	valid
69.0ms	256×	body	512	unsamplable
15.0ms	11×	body	4096	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess37.0ms (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)

simplify52.0ms (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

32.0b

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
▶	34.4b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
▶	40.3b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Status

Error

Program

▶

32.5b

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

▶

34.4b

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

▶

40.3b

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

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.1b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	12.6b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	31.1b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 77 to 13 computations (83.1% saved)

series34.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
3.0ms	a	@	0	(expm1.f64 (*.f64 eps (+.f64 a b)))
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)))))
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)))))

rewrite106.0ms (0.8%)

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)))))))))

simplify175.0ms (1.2%)

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))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	4.5b	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
✓	18.3b	(/.f64 eps (expm1.f64 (*.f64 eps a)))
✓	24.1b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series17.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Inputs

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

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

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (/.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 (expm1.f64 (.f64 eps a)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) eps)) (expm1.f64 (.f64 eps (+.f64 a b)))))))) (#(struct:change 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(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 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(.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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simplify112.0ms (0.8%)

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)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	6.2b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
✓	13.0b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
	18.3b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series19.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	inf	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
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	eps	@	-inf	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 217

Calls

Call 1

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

Outputs

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

simplify242.0ms (1.7%)

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)))))

eval443.0ms (3.1%)

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

prune375.0ms (2.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	1227	13	1240
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1230	13	1243

Error

Counts

1243 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.3b	(/.f64 (+.f64 a b) (*.f64 a b))
	34.0b	(/.f64 1 b)
▶	33.7b	(/.f64 1 a)
	23.8b	(+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (.f64 a eps)))) (-.f64 (/.f64 1 b) (*.f64 eps 1/2)))
	46.5b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 eps b))))
▶	47.0b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
▶	39.4b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))
	44.3b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 1 (.f64 (.f64 a eps) b)))
▶	50.5b	(*.f64 eps (/.f64 (/.f64 1 eps) b))
	39.0b	(.f64 eps (/.f64 (+.f64 a b) (.f64 (*.f64 a eps) b)))
	39.0b	(.f64 eps (/.f64 (+.f64 a b) (.f64 a (*.f64 b eps))))
	56.7b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a b) (*.f64 eps eps))))
	50.9b	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 352 to 228 computations (35.2% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.3b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 49

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 eps) b)
✓	19.7b	(*.f64 eps (/.f64 (/.f64 1 eps) b))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

103 → 69

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps a))
	18.3b	(/.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	a	@	inf	(expm1.f64 (*.f64 eps a))
0.0ms	eps	@	-inf	(expm1.f64 (*.f64 eps a))

rewrite73.0ms (0.5%)

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))))))))

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 35

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 b eps))
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	4.5b	(/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps)))
✓	24.1b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))

Compiler

Compiled 54 to 18 computations (66.7% saved)

series22.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	-inf	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))
1.0ms	b	@	0	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))
1.0ms	eps	@	0	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))
1.0ms	a	@	-inf	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))
1.0ms	eps	@	inf	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`associate-/r*`
890×	`associate-/l*`
720×	`distribute-lft-in`
382×	`associate-/r/`
320×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	313	73
2	4185	73

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

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

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

simplify145.0ms (1%)

Algorithm

1×	egg-herbie

Rules

982×	`associate-/r*`
936×	`times-frac`
770×	`associate-r`
748×	`associate-/l*`
644×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	582	10634
1	1722	10444

Stop Event

1×	node limit

Counts

252 → 277

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

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

eval276.0ms (2%)

Compiler: Compiled 12662 to 4820 computations (61.9% saved)

prune199.0ms (1.4%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	562	7	569
Fresh	6	2	8
Picked	1	0	1
Done	0	4	4
Total	569	13	582

Error

Counts

582 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.3b	(/.f64 (+.f64 a b) (*.f64 a b))
	49.5b	(/.f64 eps (*.f64 eps b))
▶	34.0b	(/.f64 1 b)
✓	33.7b	(/.f64 1 a)
▶	5.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	10.6b	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))
▶	49.2b	(.f64 (/.f64 eps (.f64 a (+.f64 eps (.f64 a (.f64 eps (*.f64 eps 1/2)))))) 1)
✓	47.0b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
▶	15.7b	(.f64 (/.f64 1 (.f64 a b)) (+.f64 a b))
	33.4b	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1)
	37.7b	(.f64 (.f64 (+.f64 a b) eps) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))
✓	50.5b	(*.f64 eps (/.f64 (/.f64 1 eps) b))
▶	50.9b	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 247 to 174 computations (29.6% saved)

localize10.0ms (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)

series2.0ms (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	@	-inf	(+.f64 (/.f64 1 b) (/.f64 1 a))
0.0ms	a	@	0	(+.f64 (/.f64 1 b) (/.f64 1 a))
0.0ms	b	@	-inf	(+.f64 (/.f64 1 b) (/.f64 1 a))
0.0ms	b	@	inf	(+.f64 (/.f64 1 b) (/.f64 1 a))

rewrite67.0ms (0.5%)

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))))))

simplify64.0ms (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)))

localize4.0ms (0%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 eps a))
✓	19.1b	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite68.0ms (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 a)))
(/.f64 1 (*.f64 eps a))

Outputs

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

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

75 → 57

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (*.f64 a b))
✓	15.1b	(.f64 (/.f64 1 (.f64 a b)) (+.f64 a b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`associate-/r*`
1002×	`*-commutative`
694×	`associate-/l*`
616×	`swap-sqr`
578×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	196	32
2	2780	32

Stop Event

1×	node limit

Counts

2 → 169

Calls

Call 1

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

Outputs

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

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

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1070×	`distribute-lft-neg-out`
802×	`associate-/r*`
766×	`associate-/l*`
670×	`associate-/l/`
550×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	6121
1	1257	5865
2	6160	5847

Stop Event

1×	node limit

Counts

193 → 237

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 eps (.f64 a (.f64 eps (*.f64 eps 1/2))))
✓	0.0b	(.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps 1/2)))))
✓	6.1b	(.f64 a (.f64 eps (*.f64 eps 1/2)))
✓	18.3b	(/.f64 eps (.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps 1/2))))))

Compiler

Compiled 70 to 41 computations (41.4% saved)

series17.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	inf	(+.f64 eps (.f64 a (.f64 eps (*.f64 eps 1/2))))
1.0ms	eps	@	inf	(/.f64 eps (.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps 1/2))))))
1.0ms	a	@	0	(.f64 a (.f64 eps (*.f64 eps 1/2)))
1.0ms	eps	@	0	(.f64 a (.f64 eps (*.f64 eps 1/2)))
1.0ms	a	@	inf	(/.f64 eps (.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps 1/2))))))

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1756×	`associate-*r/`
1526×	`associate-/r*`
1496×	`associate-*l/`
326×	`associate-+l+`
256×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	112
1	246	100
2	3564	100

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

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

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

simplify204.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1518×	`associate-/r/`
760×	`associate-r`
752×	`associate-/l*`
726×	`associate-l`
680×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	490	14517
1	1297	13827
2	6404	13827

Stop Event

1×	node limit

Counts

285 → 293

Calls

Call 1

Inputs
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 1/4 (*.f64 (pow.f64 eps 2) a)) (/.f64 1 a)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 3) (pow.f64 a 2))) (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 1/4 (*.f64 (pow.f64 eps 2) a)) (/.f64 1 a))))
(/.f64 2 (*.f64 eps (pow.f64 a 2)))
(-.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4))))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4))))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3))))))
(/.f64 2 (*.f64 eps (pow.f64 a 2)))
(-.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4))))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4))))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3))))))
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 1/4 (*.f64 (pow.f64 eps 2) a)) (/.f64 1 a)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 3) (pow.f64 a 2))) (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 1/4 (*.f64 (pow.f64 eps 2) a)) (/.f64 1 a))))
(/.f64 2 (*.f64 eps (pow.f64 a 2)))
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(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 3) 3)) (/.f64 1 (fma.f64 eps eps (.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) (-.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) eps))))) (+.f64 (.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (-.f64 (.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 3) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 3)) (.f64 (pow.f64 eps 3) (pow.f64 (.f64 eps (.f64 (*.f64 eps 1/2) a)) 3)))))
(/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 2)) 1) (-.f64 eps (.f64 eps (.f64 (*.f64 eps 1/2) a))))
(/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 2)) (sqrt.f64 (-.f64 eps (.f64 eps (.f64 (.f64 eps 1/2) a))))) (sqrt.f64 (-.f64 eps (.f64 eps (.f64 (.f64 eps 1/2) a)))))
(/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 2)) (.f64 (cbrt.f64 (-.f64 eps (.f64 eps (.f64 (.f64 eps 1/2) a)))) (cbrt.f64 (-.f64 eps (.f64 eps (.f64 (.f64 eps 1/2) a)))))) (cbrt.f64 (-.f64 eps (.f64 eps (.f64 (.f64 eps 1/2) a)))))
(/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 2)) (+.f64 (.f64 (.f64 eps (sqrt.f64 1/2)) (sqrt.f64 a)) (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) (.f64 (.f64 eps (sqrt.f64 1/2)) (sqrt.f64 a))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 3)) 1) (fma.f64 eps eps (.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) (-.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 3)) (sqrt.f64 (fma.f64 eps eps (.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) (-.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) eps))))) (sqrt.f64 (fma.f64 eps eps (.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) (-.f64 (.f64 eps (.f64 (*.f64 eps 1/2) a)) eps)))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 3)) (.f64 (cbrt.f64 (fma.f64 eps eps (.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) (-.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) eps)))) (cbrt.f64 (fma.f64 eps eps (.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) (-.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) eps)))))) (cbrt.f64 (fma.f64 eps eps (.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) (-.f64 (.f64 eps (.f64 (*.f64 eps 1/2) a)) eps)))))
(pow.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps) 1)
(pow.f64 (sqrt.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)) 2)
(pow.f64 (cbrt.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)) 3)
(pow.f64 (pow.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps) 2))
(log.f64 (exp.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps))))
(cbrt.f64 (pow.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps) 3))
(expm1.f64 (log1p.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)))
(exp.f64 (log.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)))
(exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 eps (*.f64 eps 1/2)) eps)) 1))
(log1p.f64 (expm1.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)))
(fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)
(fma.f64 (.f64 eps (.f64 eps 1/2)) a eps)
(fma.f64 1 eps (.f64 eps (.f64 (*.f64 eps 1/2) a)))
(fma.f64 1 (.f64 eps (.f64 (*.f64 eps 1/2) a)) eps)
(fma.f64 (.f64 (.f64 eps (sqrt.f64 1/2)) (sqrt.f64 a)) (.f64 (.f64 eps (sqrt.f64 1/2)) (sqrt.f64 a)) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 eps (.f64 (*.f64 eps 1/2) a)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (.f64 (.f64 eps 1/2) a))) 2) (cbrt.f64 (.f64 eps (.f64 (.f64 eps 1/2) a))) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (.f64 eps (.f64 (*.f64 eps 1/2) a)))
(fma.f64 (.f64 eps a) (.f64 eps 1/2) eps)

Outputs
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 1/4 (*.f64 (pow.f64 eps 2) a)) (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 1/4 (.f64 a (.f64 eps eps)) (/.f64 1 a)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 3) (pow.f64 a 2))) (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 1/4 (*.f64 (pow.f64 eps 2) a)) (/.f64 1 a))))
(fma.f64 -1/8 (.f64 (pow.f64 eps 3) (.f64 a a)) (fma.f64 -1/2 eps (fma.f64 1/4 (.f64 a (.f64 eps eps)) (/.f64 1 a))))
(/.f64 2 (*.f64 eps (pow.f64 a 2)))
(/.f64 2 (.f64 eps (.f64 a a)))
(/.f64 2 (.f64 a (.f64 a eps)))
(-.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(-.f64 (/.f64 2 (.f64 eps (.f64 a a))) (/.f64 4 (.f64 (pow.f64 a 3) (.f64 eps eps))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (/.f64 -4 (.f64 (pow.f64 a 3) (.f64 eps eps))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4))))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(+.f64 (/.f64 2 (.f64 eps (.f64 a a))) (-.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (/.f64 4 (.f64 (pow.f64 a 3) (*.f64 eps eps)))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (+.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (/.f64 -4 (.f64 (pow.f64 a 3) (*.f64 eps eps)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4))))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3))))))
(-.f64 (+.f64 (/.f64 2 (.f64 eps (.f64 a a))) (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (+.f64 (/.f64 4 (.f64 (pow.f64 a 3) (.f64 eps eps))) (/.f64 16 (.f64 (pow.f64 a 5) (pow.f64 eps 4)))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (-.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (+.f64 (/.f64 4 (.f64 (pow.f64 a 3) (.f64 eps eps))) (/.f64 16 (.f64 (pow.f64 a 5) (pow.f64 eps 4))))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (+.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (-.f64 (/.f64 -4 (.f64 (pow.f64 a 3) (.f64 eps eps))) (/.f64 16 (.f64 (pow.f64 a 5) (pow.f64 eps 4))))))
(/.f64 2 (*.f64 eps (pow.f64 a 2)))
(/.f64 2 (.f64 eps (.f64 a a)))
(/.f64 2 (.f64 a (.f64 a eps)))
(-.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(-.f64 (/.f64 2 (.f64 eps (.f64 a a))) (/.f64 4 (.f64 (pow.f64 a 3) (.f64 eps eps))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (/.f64 -4 (.f64 (pow.f64 a 3) (.f64 eps eps))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4))))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(+.f64 (/.f64 2 (.f64 eps (.f64 a a))) (-.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (/.f64 4 (.f64 (pow.f64 a 3) (*.f64 eps eps)))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (+.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (/.f64 -4 (.f64 (pow.f64 a 3) (*.f64 eps eps)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4))))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3))))))
(-.f64 (+.f64 (/.f64 2 (.f64 eps (.f64 a a))) (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (+.f64 (/.f64 4 (.f64 (pow.f64 a 3) (.f64 eps eps))) (/.f64 16 (.f64 (pow.f64 a 5) (pow.f64 eps 4)))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (-.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (+.f64 (/.f64 4 (.f64 (pow.f64 a 3) (.f64 eps eps))) (/.f64 16 (.f64 (pow.f64 a 5) (pow.f64 eps 4))))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (+.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (-.f64 (/.f64 -4 (.f64 (pow.f64 a 3) (.f64 eps eps))) (/.f64 16 (.f64 (pow.f64 a 5) (pow.f64 eps 4))))))
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 1/4 (*.f64 (pow.f64 eps 2) a)) (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 1/4 (.f64 a (.f64 eps eps)) (/.f64 1 a)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 3) (pow.f64 a 2))) (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 1/4 (*.f64 (pow.f64 eps 2) a)) (/.f64 1 a))))
(fma.f64 -1/8 (.f64 (pow.f64 eps 3) (.f64 a a)) (fma.f64 -1/2 eps (fma.f64 1/4 (.f64 a (.f64 eps eps)) (/.f64 1 a))))
(/.f64 2 (*.f64 eps (pow.f64 a 2)))
(/.f64 2 (.f64 eps (.f64 a a)))
(/.f64 2 (.f64 a (.f64 a eps)))
(-.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(-.f64 (/.f64 2 (.f64 eps (.f64 a a))) (/.f64 4 (.f64 (pow.f64 a 3) (.f64 eps eps))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (/.f64 -4 (.f64 (pow.f64 a 3) (.f64 eps eps))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4))))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(+.f64 (/.f64 2 (.f64 eps (.f64 a a))) (-.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (/.f64 4 (.f64 (pow.f64 a 3) (*.f64 eps eps)))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (+.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (/.f64 -4 (.f64 (pow.f64 a 3) (*.f64 eps eps)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4))))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3))))))
(-.f64 (+.f64 (/.f64 2 (.f64 eps (.f64 a a))) (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (+.f64 (/.f64 4 (.f64 (pow.f64 a 3) (.f64 eps eps))) (/.f64 16 (.f64 (pow.f64 a 5) (pow.f64 eps 4)))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (-.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (+.f64 (/.f64 4 (.f64 (pow.f64 a 3) (.f64 eps eps))) (/.f64 16 (.f64 (pow.f64 a 5) (pow.f64 eps 4))))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (+.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (-.f64 (/.f64 -4 (.f64 (pow.f64 a 3) (.f64 eps eps))) (/.f64 16 (.f64 (pow.f64 a 5) (pow.f64 eps 4))))))
(/.f64 2 (*.f64 eps (pow.f64 a 2)))
(/.f64 2 (.f64 eps (.f64 a a)))
(/.f64 2 (.f64 a (.f64 a eps)))
(-.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(-.f64 (/.f64 2 (.f64 eps (.f64 a a))) (/.f64 4 (.f64 (pow.f64 a 3) (.f64 eps eps))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (/.f64 -4 (.f64 (pow.f64 a 3) (.f64 eps eps))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4))))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3)))))
(+.f64 (/.f64 2 (.f64 eps (.f64 a a))) (-.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (/.f64 4 (.f64 (pow.f64 a 3) (*.f64 eps eps)))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (+.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (/.f64 -4 (.f64 (pow.f64 a 3) (*.f64 eps eps)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 eps (pow.f64 a 2)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 eps 3) (pow.f64 a 4))))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 eps 4) (pow.f64 a 5)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 a 3))))))
(-.f64 (+.f64 (/.f64 2 (.f64 eps (.f64 a a))) (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4)))) (+.f64 (/.f64 4 (.f64 (pow.f64 a 3) (.f64 eps eps))) (/.f64 16 (.f64 (pow.f64 a 5) (pow.f64 eps 4)))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (-.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (+.f64 (/.f64 4 (.f64 (pow.f64 a 3) (.f64 eps eps))) (/.f64 16 (.f64 (pow.f64 a 5) (pow.f64 eps 4))))))
(+.f64 (/.f64 2 (.f64 a (.f64 a eps))) (+.f64 (/.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 a 4))) (-.f64 (/.f64 -4 (.f64 (pow.f64 a 3) (.f64 eps eps))) (/.f64 16 (.f64 (pow.f64 a 5) (pow.f64 eps 4))))))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
(.f64 1/2 (.f64 a (*.f64 eps eps)))
(.f64 1/2 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 a (*.f64 eps eps)) 1/2)
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(/.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) 3) 3)) (/.f64 (-.f64 (+.f64 (pow.f64 eps 6) (pow.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) 6)) (.f64 (pow.f64 eps 3) (pow.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) 3))) (/.f64 1 (fma.f64 eps eps (.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) (fma.f64 eps (.f64 eps (.f64 1/2 a)) (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (.f64 (.f64 (pow.f64 eps 6) 1/8) (pow.f64 a 3)) 3)) (.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 a (.f64 eps eps))) 6) (-.f64 (.f64 (pow.f64 eps 6) (pow.f64 (.f64 a (.f64 eps 1/2)) 3)) (pow.f64 eps 6))) (.f64 eps (+.f64 eps (.f64 (.f64 eps 1/2) (.f64 a (-.f64 (.f64 1/2 (.f64 a (.f64 eps eps))) eps)))))))
(/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 2)) 1) (-.f64 eps (.f64 eps (.f64 (*.f64 eps 1/2) a))))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) 2)) (-.f64 eps (.f64 eps (.f64 eps (*.f64 1/2 a)))))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 1/2 (.f64 a (.f64 eps eps))) 2)) (-.f64 eps (.f64 1/2 (.f64 a (*.f64 eps eps)))))
(/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 2)) (sqrt.f64 (-.f64 eps (.f64 eps (.f64 (.f64 eps 1/2) a))))) (sqrt.f64 (-.f64 eps (.f64 eps (.f64 (.f64 eps 1/2) a)))))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) 2)) (-.f64 eps (.f64 eps (.f64 eps (*.f64 1/2 a)))))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 1/2 (.f64 a (.f64 eps eps))) 2)) (-.f64 eps (.f64 1/2 (.f64 a (*.f64 eps eps)))))
(/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 2)) (.f64 (cbrt.f64 (-.f64 eps (.f64 eps (.f64 (.f64 eps 1/2) a)))) (cbrt.f64 (-.f64 eps (.f64 eps (.f64 (.f64 eps 1/2) a)))))) (cbrt.f64 (-.f64 eps (.f64 eps (.f64 (.f64 eps 1/2) a)))))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) 2)) (-.f64 eps (.f64 eps (.f64 eps (*.f64 1/2 a)))))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 1/2 (.f64 a (.f64 eps eps))) 2)) (-.f64 eps (.f64 1/2 (.f64 a (*.f64 eps eps)))))
(/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 2)) (+.f64 (.f64 (.f64 eps (sqrt.f64 1/2)) (sqrt.f64 a)) (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) (.f64 (.f64 eps (sqrt.f64 1/2)) (sqrt.f64 a))))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) 2)) (.f64 (-.f64 (sqrt.f64 eps) (.f64 eps (.f64 (sqrt.f64 1/2) (sqrt.f64 a)))) (fma.f64 (.f64 eps (sqrt.f64 1/2)) (sqrt.f64 a) (sqrt.f64 eps))))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 1/2 (.f64 a (.f64 eps eps))) 2)) (.f64 (fma.f64 eps (.f64 (sqrt.f64 1/2) (sqrt.f64 a)) (sqrt.f64 eps)) (-.f64 (sqrt.f64 eps) (.f64 eps (.f64 (sqrt.f64 1/2) (sqrt.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 3)) 1) (fma.f64 eps eps (.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) (-.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) eps))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) 3)) (fma.f64 eps eps (.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) (fma.f64 eps (.f64 eps (*.f64 1/2 a)) (neg.f64 eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (.f64 (.f64 (pow.f64 eps 6) 1/8) (pow.f64 a 3))) (.f64 eps (+.f64 eps (.f64 (.f64 eps 1/2) (.f64 a (-.f64 (.f64 1/2 (.f64 a (*.f64 eps eps))) eps))))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 3)) (sqrt.f64 (fma.f64 eps eps (.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) (-.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) eps))))) (sqrt.f64 (fma.f64 eps eps (.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) (-.f64 (.f64 eps (.f64 (*.f64 eps 1/2) a)) eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) 3)) (fma.f64 eps eps (.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) (fma.f64 eps (.f64 eps (*.f64 1/2 a)) (neg.f64 eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (.f64 (.f64 (pow.f64 eps 6) 1/8) (pow.f64 a 3))) (.f64 eps (+.f64 eps (.f64 (.f64 eps 1/2) (.f64 a (-.f64 (.f64 1/2 (.f64 a (*.f64 eps eps))) eps))))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) 3)) (.f64 (cbrt.f64 (fma.f64 eps eps (.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) (-.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) eps)))) (cbrt.f64 (fma.f64 eps eps (.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) (-.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) eps)))))) (cbrt.f64 (fma.f64 eps eps (.f64 (.f64 eps (.f64 (.f64 eps 1/2) a)) (-.f64 (.f64 eps (.f64 (*.f64 eps 1/2) a)) eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) 3)) (fma.f64 eps eps (.f64 (.f64 eps (.f64 eps (.f64 1/2 a))) (fma.f64 eps (.f64 eps (*.f64 1/2 a)) (neg.f64 eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (.f64 (.f64 (pow.f64 eps 6) 1/8) (pow.f64 a 3))) (.f64 eps (+.f64 eps (.f64 (.f64 eps 1/2) (.f64 a (-.f64 (.f64 1/2 (.f64 a (*.f64 eps eps))) eps))))))
(pow.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps) 1)
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(pow.f64 (sqrt.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)) 2)
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(pow.f64 (cbrt.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)) 3)
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(pow.f64 (pow.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps) 3) 1/3)
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(sqrt.f64 (pow.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps) 2))
(fabs.f64 (fma.f64 1/2 (.f64 a (.f64 eps eps)) eps))
(log.f64 (exp.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)))
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps))))
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(cbrt.f64 (pow.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps) 3))
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(expm1.f64 (log1p.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)))
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(exp.f64 (log.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)))
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 eps (*.f64 eps 1/2)) eps)) 1))
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(log1p.f64 (expm1.f64 (fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)))
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(fma.f64 a (.f64 eps (.f64 eps 1/2)) eps)
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(fma.f64 (.f64 eps (.f64 eps 1/2)) a eps)
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(fma.f64 1 eps (.f64 eps (.f64 (*.f64 eps 1/2) a)))
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(fma.f64 1 (.f64 eps (.f64 (*.f64 eps 1/2) a)) eps)
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(fma.f64 (.f64 (.f64 eps (sqrt.f64 1/2)) (sqrt.f64 a)) (.f64 (.f64 eps (sqrt.f64 1/2)) (sqrt.f64 a)) eps)
(+.f64 (pow.f64 (.f64 eps (.f64 (sqrt.f64 1/2) (sqrt.f64 a))) 2) eps)
(+.f64 eps (pow.f64 (.f64 eps (.f64 (sqrt.f64 1/2) (sqrt.f64 a))) 2))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 eps (.f64 (*.f64 eps 1/2) a)))
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (.f64 (.f64 eps 1/2) a))) 2) (cbrt.f64 (.f64 eps (.f64 (.f64 eps 1/2) a))) eps)
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (.f64 eps (.f64 (*.f64 eps 1/2) a)))
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)
(fma.f64 (.f64 eps a) (.f64 eps 1/2) eps)
(+.f64 eps (.f64 (.f64 a (*.f64 eps eps)) 1/2))
(fma.f64 1/2 (.f64 a (.f64 eps eps)) eps)

eval391.0ms (2.8%)

Compiler: Compiled 14422 to 7446 computations (48.4% saved)

prune227.0ms (1.6%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	638	4	642
Fresh	1	3	4
Picked	1	0	1
Done	0	8	8
Total	640	15	655

Error

Counts

655 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.8b	(/.f64 (/.f64 (+.f64 b a) b) a)
▶	34.1b	(/.f64 (/.f64 eps a) eps)
✓	15.3b	(/.f64 (+.f64 a b) (*.f64 a b))
▶	49.5b	(/.f64 eps (*.f64 eps b))
▶	50.5b	(/.f64 eps (*.f64 eps a))
✓	34.0b	(/.f64 1 b)
✓	33.7b	(/.f64 1 a)
	35.7b	(-.f64 (+.f64 1 (/.f64 (/.f64 eps eps) a)) 1)
✓	5.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))
✓	47.0b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
✓	15.7b	(.f64 (/.f64 1 (.f64 a b)) (+.f64 a b))
▶	33.4b	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1)
	37.7b	(.f64 (.f64 (+.f64 a b) eps) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))
✓	50.5b	(*.f64 eps (/.f64 (/.f64 1 eps) b))
✓	50.9b	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 225 to 156 computations (30.7% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 b a) b)
✓	8.3b	(/.f64 (/.f64 (+.f64 b a) b) a)

Compiler

Compiled 20 to 6 computations (70% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

187 → 173

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	18.3b	(/.f64 eps (*.f64 eps a))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

60 → 48

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	18.7b	(/.f64 eps (*.f64 eps b))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (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)))))))

simplify56.0ms (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
✓	13.6b	(/.f64 (/.f64 eps a) eps)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

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

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

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)

series2.0ms (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))

rewrite107.0ms (0.8%)

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))))))

simplify81.0ms (0.6%)

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))

eval102.0ms (0.7%)

Compiler: Compiled 4701 to 2007 computations (57.3% saved)

prune108.0ms (0.8%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	354	3	357
Fresh	1	1	2
Picked	1	0	1
Done	3	9	12
Total	359	13	372

Error

Counts

372 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.8b	(/.f64 (/.f64 (+.f64 b a) b) a)
✓	34.1b	(/.f64 (/.f64 eps a) eps)
	42.8b	(/.f64 (/.f64 a b) a)
✓	49.5b	(/.f64 eps (*.f64 eps b))
✓	50.5b	(/.f64 eps (*.f64 eps a))
✓	34.0b	(/.f64 1 b)
✓	33.7b	(/.f64 1 a)
	35.7b	(-.f64 (+.f64 1 (/.f64 1 a)) 1)
✓	5.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))
✓	47.0b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
✓	15.7b	(.f64 (/.f64 1 (.f64 a b)) (+.f64 a b))
	37.7b	(.f64 (.f64 (+.f64 a b) eps) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))
	61.8b	(.f64 (.f64 -1/2 eps) 1)

Compiler

Compiled 122 to 87 computations (28.7% saved)

regimes144.0ms (1%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

4 calls:

54.0ms	eps
53.0ms	b
18.0ms	a
12.0ms	(/.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
5.0b	1	`a`
2.5b	4	`b`
3.7b	2	`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 368 to 162 computations (56% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	37645.42247891707	+inf
0.0ms	-inf	-7.042135721051161e-13

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes146.0ms (1%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

3 calls:

77.0ms	b
13.0ms	eps
12.0ms	a

Results

Error	Segments	Branch
5.0b	1	`a`
3.6b	2	`b`
5.0b	1	`eps`

Compiler

Compiled 263 to 125 computations (52.5% saved)

bsearch113.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
112.0ms	-1.95726273857429e+51	-2.322765498604384e+33

Results

56.0ms	58×	body	2048	valid
41.0ms	55×	body	1024	valid
8.0ms	22×	body	512	valid
4.0ms	25×	body	256	valid
1.0ms	8×	body	256	unsamplable

Compiler

Compiled 323 to 234 computations (27.6% saved)

regimes39.0ms (0.3%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	b
11.0ms	eps
11.0ms	a

Results

Error	Segments	Branch
5.0b	1	`a`
5.0b	1	`b`
5.0b	1	`eps`

Compiler

Compiled 183 to 98 computations (46.4% saved)

regimes166.0ms (1.2%)

Accuracy

Total -52.1b remaining (-473.8%)

Threshold costs -52.1b (-473.8%)

Counts

9 → 6

Calls

Call 1

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

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

Calls

3 calls:

73.0ms	b
51.0ms	eps
40.0ms	a

Results

Error	Segments	Branch
11.0b	6	`a`
13.8b	4	`b`
23.3b	8	`eps`

Compiler

Compiled 60 to 35 computations (41.7% saved)

bsearch545.0ms (3.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
108.0ms	-4.2240525668347375e-174	-8.505811398123558e-175
124.0ms	-6.995134559630437e-122	-2.794225607132593e-123
141.0ms	-5.439145965235612e-88	-3.3749603855412616e-89
92.0ms	-9.56692546015748e-60	-9.076802797327438e-63
80.0ms	-4.3200185717166284e-7	-3.885433300268826e-10

Results

380.0ms	320×	body	2048	valid
136.0ms	211×	body	1024	valid
9.0ms	33×	body	512	valid
4.0ms	3×	body	4096	valid
1.0ms	9×	body	256	valid
1.0ms	3×	body	1024	unsamplable
1.0ms	4×	body	512	unsamplable

Compiler

Compiled 537 to 456 computations (15.1% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
12×	`not-or`
10×	`+-commutative`
10×	`not-not`
10×	`if-if-or-not`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	62	425
1	87	425
2	93	425
3	99	421
4	106	421
5	113	417
6	117	417
7	119	417
8	120	417

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))) 50000) (.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 -1899999999999999854197002902795505864896540011659264) (.f64 (.f64 (+.f64 a b) eps) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps)))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -6673270524272753/9671406556917033397649408) (/.f64 1 b) (if (<=.f64 a -578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496) (/.f64 1 a) (if (<=.f64 a -4837848643104057/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 1 b) (if (<=.f64 a -520997997575091/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936) (/.f64 1 a) (if (<=.f64 a -4678283836429009/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456) (/.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))) 50000) (.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))) 50000))) (+.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 -1899999999999999854197002902795505864896540011659264) (.f64 (.f64 (+.f64 a b) eps) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps)))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(if (<=.f64 b -1899999999999999854197002902795505864896540011659264) (.f64 (.f64 eps (+.f64 a b)) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 eps b)))) (+.f64 (/.f64 1 b) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -6673270524272753/9671406556917033397649408) (/.f64 1 b) (if (<=.f64 a -578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496) (/.f64 1 a) (if (<=.f64 a -4837848643104057/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 1 b) (if (<=.f64 a -520997997575091/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936) (/.f64 1 a) (if (<=.f64 a -4678283836429009/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456) (/.f64 1 b) (/.f64 1 a))))))
(if (<=.f64 a -6673270524272753/9671406556917033397649408) (/.f64 1 b) (if (<=.f64 a -578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496) (/.f64 1 a) (if (or (<=.f64 a -4837848643104057/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (and (not (<=.f64 a -520997997575091/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936)) (<=.f64 a -4678283836429009/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456))) (/.f64 1 b) (/.f64 1 a))))
(if (or (<=.f64 a -6673270524272753/9671406556917033397649408) (and (not (<=.f64 a -578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496)) (or (<=.f64 a -4837848643104057/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (and (not (<=.f64 a -520997997575091/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936)) (<=.f64 a -4678283836429009/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456))))) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)

Compiler

Compiled 158 to 102 computations (35.4% saved)

soundness77.0ms (0.5%)

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

Compiler

Compiled 171 to 65 computations (62% saved)

end68.0ms (0.5%)

Remove: (sort a b)
Compiler: Compiled 312 to 178 computations (42.9% saved)