Details

analyze515.0ms (3.8%)

Algorithm

1×

Search

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample8.1s (59.4%)

Results

5.2s	4209×	body	2048	valid
1.8s	2546×	body	1024	valid
253.0ms	301×	body	2048	unsamplable
253.0ms	759×	body	512	valid
215.0ms	438×	body	1024	unsamplable
159.0ms	788×	body	256	unsamplable
115.0ms	730×	body	256	valid
78.0ms	271×	body	512	unsamplable
16.0ms	12×	body	4096	valid
3.0ms	3×	body	2048	infinite

Bogosity

preprocess38.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	220
1	143	220
2	311	220
3	798	220
4	3248	220
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify54.0ms (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

30.4b

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.5b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
▶	35.0b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
▶	40.6b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Status

Error

Program

▶

30.5b

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

▶

35.0b

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

▶

40.6b

(*.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)

localize17.0ms (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)))
✓	15.8b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	28.5b	(.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)

series29.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

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

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

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

simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	648	18454
1	2075	18382

Stop Event

1×	node limit

Counts

278 → 333

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	3.2b	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
✓	19.3b	(/.f64 eps (expm1.f64 (*.f64 eps a)))
✓	25.3b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series13.0ms (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	eps	@	0	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
1.0ms	b	@	0	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
1.0ms	a	@	0	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
1.0ms	eps	@	inf	(/.f64 eps (expm1.f64 (*.f64 eps a)))

rewrite102.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Inputs

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

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

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

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

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simplify117.0ms (0.9%)

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)))
✓	3.9b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
✓	12.9b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
	19.3b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 217

Calls

Call 1

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

Outputs

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

simplify153.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	821	21653
1	2522	21641

Stop Event

1×	node limit

Counts

289 → 402

Calls

Call 1

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

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

eval535.0ms (3.9%)

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

prune399.0ms (2.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	1233	7	1240
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1236	7	1243

Error

0.1b

Counts

1243 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	45.7b	(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)))
▶	13.8b	(/.f64 (+.f64 a b) (*.f64 a b))
▶	33.2b	(/.f64 1 b)
▶	32.4b	(/.f64 1 a)
	30.3b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
▶	47.7b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
▶	34.9b	(.f64 eps (/.f64 (+.f64 a b) (.f64 (*.f64 a eps) b)))

Compiler

Compiled 222 to 136 computations (38.7% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.8b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite96.0ms (0.7%)

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))))))))

simplify114.0ms (0.8%)

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)

localize37.0ms (0.3%)

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	4.8b	(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
✓	4.9b	(.f64 (.f64 a eps) b)
✓	28.5b	(.f64 eps (/.f64 (+.f64 a b) (.f64 (*.f64 a eps) b)))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series15.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	b	@	-inf	(.f64 (.f64 a eps) b)
2.0ms	b	@	0	(.f64 (.f64 a eps) b)
1.0ms	eps	@	0	(.f64 eps (/.f64 (+.f64 a b) (.f64 (*.f64 a eps) b)))
0.0ms	eps	@	inf	(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))
0.0ms	a	@	-inf	(/.f64 (+.f64 a b) (.f64 (.f64 a eps) b))

rewrite110.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`unswap-sqr`
942×	`swap-sqr`
658×	`distribute-rgt-in`
624×	`distribute-lft-in`
606×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	220	69
2	3301	69

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Outputs

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

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

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

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

682×	`times-frac`
616×	`associate-/r*`
600×	`distribute-lft-neg-in`
560×	`distribute-rgt-neg-in`
464×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	5398
1	884	5296
2	4768	5286

Stop Event

1×	node limit

Counts

224 → 154

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps a))
	19.3b	(/.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	eps	@	-inf	(expm1.f64 (*.f64 eps a))
0.0ms	a	@	-inf	(expm1.f64 (*.f64 eps a))

rewrite49.0ms (0.4%)

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))))))))

simplify50.0ms (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))

eval98.0ms (0.7%)

Compiler: Compiled 5439 to 1987 computations (63.5% saved)

prune90.0ms (0.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	307	4	311
Fresh	2	0	2
Picked	0	1	1
Done	1	3	4
Total	310	8	318

Error

Counts

318 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.8b	(/.f64 (+.f64 a b) (*.f64 a b))
✓	33.2b	(/.f64 1 b)
✓	32.4b	(/.f64 1 a)
▶	2.8b	(+.f64 (/.f64 1 b) (/.f64 1 a))
▶	10.2b	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))
▶	48.7b	(.f64 (/.f64 eps (.f64 a (+.f64 eps (.f64 a (.f64 eps (*.f64 eps 1/2)))))) 1)
✓	47.7b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
▶	32.4b	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1)

Compiler

Compiled 85 to 62 computations (27.1% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite79.0ms (0.6%)

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))))))

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

43 → 46

Calls

Call 1

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

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

localize25.0ms (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)))))
✓	6.0b	(.f64 a (.f64 eps (*.f64 eps 1/2)))
✓	19.3b	(/.f64 eps (.f64 a (+.f64 eps (.f64 a (.f64 eps (.f64 eps 1/2))))))

Compiler

Compiled 70 to 41 computations (41.4% saved)

series6.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite149.0ms (1.1%)

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 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(#(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)))))

simplify238.0ms (1.8%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) a)
✓	6.9b	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite130.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 170

Calls

Call 1

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

Outputs

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

simplify146.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

218 → 252

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series4.0ms (0%)

Counts

1 → 15

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(+.f64 (/.f64 1 b) (/.f64 1 a))
0.0ms	b	@	0	(+.f64 (/.f64 1 b) (/.f64 1 a))
0.0ms	b	@	-inf	(+.f64 (/.f64 1 b) (/.f64 1 a))
0.0ms	a	@	inf	(+.f64 (/.f64 1 b) (/.f64 1 a))
0.0ms	b	@	inf	(+.f64 (/.f64 1 b) (/.f64 1 a))

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.7%)

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)))

eval415.0ms (3.1%)

Compiler: Compiled 14428 to 7787 computations (46% saved)

prune167.0ms (1.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	643	3	646
Fresh	0	0	0
Picked	0	1	1
Done	3	4	7
Total	646	8	654

Error

Counts

654 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.8b	(/.f64 (+.f64 a b) (*.f64 a b))
▶	10.2b	(/.f64 (+.f64 1 (/.f64 b a)) b)
✓	33.2b	(/.f64 1 b)
✓	32.4b	(/.f64 1 a)
✓	2.8b	(+.f64 (/.f64 1 b) (/.f64 1 a))
✓	47.7b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
▶	61.5b	(.f64 (/.f64 2 (.f64 a (*.f64 a eps))) 1)
▶	62.1b	(.f64 (.f64 -1/2 eps) 1)

Compiler

Compiled 73 to 55 computations (24.7% saved)

localize6.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 a (.f64 a eps))
✓	0.3b	(/.f64 2 (.f64 a (.f64 a eps)))

Compiler

Compiled 31 to 13 computations (58.1% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(/.f64 2 (.f64 a (.f64 a eps)))
1.0ms	eps	@	0	(/.f64 2 (.f64 a (.f64 a eps)))
1.0ms	a	@	0	(/.f64 2 (.f64 a (.f64 a eps)))
1.0ms	eps	@	inf	(/.f64 2 (.f64 a (.f64 a eps)))
0.0ms	eps	@	inf	(.f64 a (.f64 a eps))

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1686×	`add-sqr-sqrt`
1664×	`*-un-lft-identity`
1552×	`add-cube-cbrt`
1530×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	169	32
2	2104	32

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(/.f64 2 (.f64 a (.f64 a eps)))
(.f64 a (.f64 a eps))

Outputs

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

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

756×	`associate-+l-`
692×	`associate-+r-`
688×	`associate-*r/`
684×	`associate--r+`
632×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1460
1	212	1460
2	830	1460
3	4385	1454

Stop Event

1×	node limit

Counts

84 → 48

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.9b	(/.f64 (+.f64 1 (/.f64 b a)) b)

Compiler

Compiled 21 to 10 computations (52.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1974×	`add-sqr-sqrt`
1958×	`*-un-lft-identity`
1832×	`add-cube-cbrt`
1812×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	172	19
2	2394	19

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1054×	`associate-+r+`
1018×	`associate-+l+`
714×	`fma-def`
712×	`*-commutative`
626×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	1052
1	217	1044
2	846	1044
3	3395	1044
4	6264	1044

Stop Event

1×	node limit

Counts

56 → 39

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

eval57.0ms (0.4%)

Compiler: Compiled 1092 to 642 computations (41.2% saved)

prune15.0ms (0.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	87	8	95

Error

Counts

95 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.8b	(/.f64 (+.f64 a b) (*.f64 a b))
✓	10.2b	(/.f64 (+.f64 1 (/.f64 b a)) b)
✓	33.2b	(/.f64 1 b)
✓	32.4b	(/.f64 1 a)
✓	2.8b	(+.f64 (/.f64 1 b) (/.f64 1 a))
✓	47.7b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
✓	61.5b	(.f64 (/.f64 2 (.f64 a (*.f64 a eps))) 1)
✓	62.1b	(.f64 (.f64 -1/2 eps) 1)

Compiler

Compiled 73 to 55 computations (24.7% saved)

regimes58.0ms (0.4%)

Counts

18 → 3

Calls

Call 1

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

26.0ms	b
11.0ms	eps
9.0ms	a
6.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Results

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

Compiler

Compiled 271 to 134 computations (50.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.0688397689256875e-15	+inf
0.0ms	-inf	-0.0

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes29.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	b
7.0ms	a
7.0ms	eps

Results

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

Compiler

Compiled 166 to 90 computations (45.8% saved)

regimes80.0ms (0.6%)

Accuracy

Total -52.0b remaining (-491%)

Threshold costs -52.0b (-491%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	eps
34.0ms	b
6.0ms	a

Results

Error	Segments	Branch
10.6b	2	`a`
12.3b	2	`b`
22.5b	8	`eps`

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	-6.534548350973197e-122	-6.409065333550321e-122

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
10×	`+-commutative`
6×	`sub-neg`
2×	`1-exp`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	292
1	65	292
2	68	292

Stop Event

1×	done
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))) 6338253001141147/1267650600228229401496703205376) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -6047298186139449/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (/.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))) 6338253001141147/1267650600228229401496703205376) (.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))) 6338253001141147/1267650600228229401496703205376))) (+.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))
(if (<=.f64 a -6047298186139449/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)

Compiler

Compiled 112 to 69 computations (38.4% saved)

soundness160.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 342 to 134 computations (60.8% saved)

end69.0ms (0.5%)

Remove: (sort a b)
Compiler: Compiled 269 to 152 computations (43.5% saved)

Details

analyze515.0ms (3.8%)

sample8.1s (59.4%)

preprocess38.0ms (0.3%)

simplify54.0ms (0.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize17.0ms (0.1%)

series29.0ms (0.2%)

rewrite97.0ms (0.7%)

simplify129.0ms (1%)

localize17.0ms (0.1%)

series13.0ms (0.1%)

rewrite102.0ms (0.7%)

simplify117.0ms (0.9%)

localize18.0ms (0.1%)

series8.0ms (0.1%)

rewrite108.0ms (0.8%)

simplify153.0ms (1.1%)

eval535.0ms (3.9%)

prune399.0ms (2.9%)

localize7.0ms (0.1%)

series3.0ms (0%)

rewrite96.0ms (0.7%)

simplify114.0ms (0.8%)

localize3.0ms (0%)

localize37.0ms (0.3%)

localize10.0ms (0.1%)

series15.0ms (0.1%)

rewrite110.0ms (0.8%)

simplify89.0ms (0.7%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite49.0ms (0.4%)

simplify50.0ms (0.4%)

eval98.0ms (0.7%)

prune90.0ms (0.7%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite79.0ms (0.6%)

simplify56.0ms (0.4%)

localize25.0ms (0.2%)

series6.0ms (0%)

rewrite149.0ms (1.1%)

simplify238.0ms (1.8%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite130.0ms (1%)

simplify146.0ms (1.1%)

localize8.0ms (0.1%)

series4.0ms (0%)

rewrite59.0ms (0.4%)

simplify100.0ms (0.7%)

eval415.0ms (3.1%)

prune167.0ms (1.2%)

localize6.0ms (0%)

localize9.0ms (0.1%)

series5.0ms (0%)

rewrite59.0ms (0.4%)

simplify61.0ms (0.5%)

localize13.0ms (0.1%)

series2.0ms (0%)

rewrite64.0ms (0.5%)

simplify72.0ms (0.5%)

eval57.0ms (0.4%)

prune15.0ms (0.1%)

regimes58.0ms (0.4%)

bsearch0.0ms (0%)

regimes29.0ms (0.2%)

regimes80.0ms (0.6%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness160.0ms (1.2%)

end69.0ms (0.5%)

Profiling