Details

analyze685.0ms (4.7%)

Algorithm

1×

Search

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample8.0s (54.6%)

Results

4.9s	4251×	body	2048	valid
1.3s	2458×	body	1024	valid
792.0ms	746×	body	512	valid
436.0ms	749×	body	256	unsamplable
209.0ms	426×	body	1024	unsamplable
171.0ms	252×	body	2048	unsamplable
148.0ms	788×	body	256	valid
52.0ms	191×	body	512	unsamplable
18.0ms	13×	body	4096	valid
5.0ms	5×	body	2048	infinite

Bogosity

preprocess39.0ms (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)

simplify58.0ms (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

30.6b

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.9b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
▶	34.6b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
▶	40.7b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Status

Error

Program

▶

30.9b

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

▶

34.6b

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

▶

40.7b

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

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.1b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	12.9b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	29.7b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 77 to 13 computations (83.1% saved)

series30.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(expm1.f64 (*.f64 eps (+.f64 a b)))
4.0ms	a	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
3.0ms	eps	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	eps	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
1.0ms	eps	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

rewrite99.0ms (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)))))))))

simplify405.0ms (2.8%)

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))

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	3.3b	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
✓	18.2b	(/.f64 eps (expm1.f64 (*.f64 eps a)))
✓	23.5b	(.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)

series14.0ms (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	b	@	-inf	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
1.0ms	b	@	0	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
1.0ms	eps	@	0	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
1.0ms	a	@	0	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Inputs

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

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

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (/.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 (expm1.f64 (.f64 eps a)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) eps)) (expm1.f64 (.f64 eps (+.f64 a b)))))))) (#(struct:change 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(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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simplify148.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	669	14548
1	2213	14324

Stop Event

1×	node limit

Counts

242 → 300

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	3.4b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
✓	13.1b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
	18.2b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite115.0ms (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))))))))))

simplify201.0ms (1.4%)

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)))))

eval540.0ms (3.7%)

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

prune406.0ms (2.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

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

Error

0.3b

Counts

1243 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.4b	(/.f64 (+.f64 a b) (*.f64 a b))
	34.9b	(/.f64 1 b)
▶	30.8b	(/.f64 1 a)
	21.6b	(+.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (exp.f64 (.f64 a eps)))) (-.f64 (/.f64 1 b) (*.f64 eps 1/2)))
▶	29.7b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
	46.6b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 eps b))))
	45.4b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
	41.6b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 eps) (*.f64 a b)))
▶	35.3b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))
▶	49.6b	(*.f64 eps (/.f64 (/.f64 1 eps) b))
	37.8b	(.f64 eps (/.f64 (+.f64 a b) (.f64 (*.f64 a eps) b)))
	58.6b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (.f64 a b) (*.f64 eps eps))))
	48.0b	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 354 to 230 computations (35% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.0b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`add-sqr-sqrt`
1940×	`*-un-lft-identity`
1822×	`add-cube-cbrt`
1798×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	156	19
2	2349	19

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 49

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (/.f64 1 eps) b)
✓	17.5b	(*.f64 eps (/.f64 (/.f64 1 eps) b))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

103 → 69

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps a))
✓	0.0b	(/.f64 (+.f64 a b) b)
✓	3.8b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
	18.2b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 39 to 9 computations (76.9% saved)

series45.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
32.0ms	eps	@	inf	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
7.0ms	eps	@	-inf	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
1.0ms	eps	@	0	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
1.0ms	a	@	inf	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
1.0ms	b	@	-inf	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`distribute-rgt-in`
790×	`distribute-lft-in`
672×	`associate-/l/`
612×	`associate-/r/`
434×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	262	59
2	3890	59

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

Outputs

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

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1610×	`times-frac`
1040×	`associate-l`
1002×	`associate-r`
916×	`associate-/l*`
858×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	505	8939
1	1572	8641

Stop Event

1×	node limit

Counts

249 → 266

Calls

Call 1

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

Outputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) b)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 -1/2 (*.f64 (+.f64 a b) (/.f64 eps b)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 (/.f64 (.f64 a (+.f64 a b)) b)) (.f64 -1/4 (/.f64 (.f64 a (+.f64 a b)) b))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) b)) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 -1 (.f64 (.f64 eps eps) (.f64 (/.f64 a (/.f64 b (+.f64 a b))) -1/12)) (fma.f64 -1/2 (.f64 (+.f64 a b) (/.f64 eps b)) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(-.f64 (fma.f64 -1/2 (.f64 (+.f64 a b) (/.f64 eps b)) (+.f64 (/.f64 1 a) (/.f64 1 b))) (.f64 (.f64 (/.f64 a b) (+.f64 a b)) (.f64 -1/12 (*.f64 eps eps))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 (/.f64 (.f64 a (+.f64 a b)) b)) (.f64 -1/4 (/.f64 (.f64 a (+.f64 a b)) b))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/2 (.f64 a (+.f64 (.f64 1/6 (/.f64 (.f64 a (+.f64 a b)) b)) (.f64 -1/4 (/.f64 (.f64 a (+.f64 a b)) b))))) (+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 a 2) (+.f64 a b)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) (+.f64 a b)) b)))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(fma.f64 -1 (.f64 (.f64 eps eps) (.f64 (/.f64 a (/.f64 b (+.f64 a b))) -1/12)) (fma.f64 -1/2 (.f64 (+.f64 a b) (/.f64 eps b)) (fma.f64 -1 (.f64 (pow.f64 eps 3) (fma.f64 -1/2 (.f64 a (.f64 (/.f64 a (/.f64 b (+.f64 a b))) -1/12)) (.f64 (/.f64 (*.f64 a a) (/.f64 b (+.f64 a b))) -1/24))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(-.f64 (fma.f64 -1/2 (.f64 (+.f64 a b) (/.f64 eps b)) (-.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (.f64 (pow.f64 eps 3) (fma.f64 -1/2 (.f64 (.f64 (/.f64 a b) (+.f64 a b)) (.f64 -1/12 a)) (.f64 (.f64 (/.f64 (.f64 a a) b) (+.f64 a b)) -1/24))))) (.f64 (.f64 (/.f64 a b) (+.f64 a b)) (.f64 -1/12 (.f64 eps eps))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(/.f64 eps (.f64 b (/.f64 (expm1.f64 (.f64 a eps)) (+.f64 a b))))
(.f64 (+.f64 a b) (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(/.f64 eps (.f64 b (/.f64 (expm1.f64 (.f64 a eps)) (+.f64 a b))))
(.f64 (+.f64 a b) (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(/.f64 eps (.f64 b (/.f64 (expm1.f64 (.f64 a eps)) (+.f64 a b))))
(.f64 (+.f64 a b) (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(/.f64 eps (.f64 b (/.f64 (expm1.f64 (.f64 a eps)) (+.f64 a b))))
(.f64 (+.f64 a b) (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(/.f64 eps (.f64 b (/.f64 (expm1.f64 (.f64 a eps)) (+.f64 a b))))
(.f64 (+.f64 a b) (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) b))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
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(/.f64 (+.f64 a b) b)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 a b) b))))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) b) 3))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 b 3)))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) b)))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(exp.f64 (log.f64 (/.f64 (+.f64 a b) b)))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a b) b)) 1))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) b)))
(fma.f64 a (/.f64 1 b) 1)
(/.f64 (+.f64 a b) b)
(+.f64 (pow.f64 (exp.f64 a) eps) -1)
(+.f64 -1 (pow.f64 (exp.f64 a) eps))
(+.f64 -1 (pow.f64 (exp.f64 a) eps))
(+.f64 (*.f64 (pow.f64 (exp.f64 a) eps) 1) -1)
(+.f64 -1 (pow.f64 (exp.f64 a) eps))
(-.f64 (pow.f64 (exp.f64 a) eps) 1)
(+.f64 -1 (pow.f64 (exp.f64 a) eps))
(.f64 (expm1.f64 (.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(.f64 1 (expm1.f64 (.f64 eps a)))
(expm1.f64 (*.f64 a eps))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps a))) (sqrt.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps a))) (neg.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 eps a))))))
(expm1.f64 (*.f64 a eps))
(.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a))) 2))
(expm1.f64 (*.f64 a eps))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2) (cbrt.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2) (neg.f64 (neg.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a))))))
(expm1.f64 (*.f64 a eps))
(.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 eps a)))) (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 eps a))))))
(.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 a eps)))) (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 a eps))))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 eps a)))) (cbrt.f64 (neg.f64 (expm1.f64 (.f64 eps a))))) (neg.f64 (cbrt.f64 (neg.f64 (expm1.f64 (*.f64 eps a))))))
(.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 a eps)))) (.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 a eps)))) (neg.f64 (cbrt.f64 (neg.f64 (expm1.f64 (*.f64 a eps)))))))
(.f64 -1 (neg.f64 (expm1.f64 (.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(.f64 (neg.f64 (sqrt.f64 (expm1.f64 (.f64 eps a)))) (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 eps a)))))
(expm1.f64 (*.f64 a eps))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (neg.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a)))))
(expm1.f64 (*.f64 a eps))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 eps a))))) (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 eps a)))))
(.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 a eps)))) (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 a eps))))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 eps a)))) (cbrt.f64 (neg.f64 (expm1.f64 (.f64 eps a)))))) (cbrt.f64 (neg.f64 (expm1.f64 (*.f64 eps a)))))
(.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 a eps)))) (.f64 (cbrt.f64 (neg.f64 (expm1.f64 (.f64 a eps)))) (neg.f64 (cbrt.f64 (neg.f64 (expm1.f64 (*.f64 a eps)))))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (expm1.f64 (.f64 eps a))))) (sqrt.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2))) (cbrt.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(/.f64 (-.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 (pow.f64 (exp.f64 a) (*.f64 2 eps)) -1) (+.f64 1 (pow.f64 (exp.f64 a) eps)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 eps 2))) (+.f64 1 (pow.f64 (exp.f64 a) eps)))
(/.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 (pow.f64 (exp.f64 a) eps) (+.f64 1 (pow.f64 (exp.f64 a) (*.f64 eps 2)))))
(pow.f64 (expm1.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 eps a))) 2)
(expm1.f64 (*.f64 a eps))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a))) 3)
(expm1.f64 (*.f64 a eps))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 3) 1/3)
(expm1.f64 (*.f64 a eps))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a eps)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 eps a)))))
(expm1.f64 (*.f64 a eps))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 3))
(expm1.f64 (*.f64 a eps))
(exp.f64 (log.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 a eps))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 eps a))) 1))
(expm1.f64 (*.f64 a eps))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 eps a))))
(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 b eps))
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	3.3b	(/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps)))
✓	23.5b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))

Compiler

Compiled 54 to 18 computations (66.7% saved)

series13.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

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

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

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	582	10634
1	1722	10444

Stop Event

1×	node limit

Counts

252 → 277

Calls

Call 1

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

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

eval184.0ms (1.3%)

Compiler: Compiled 17885 to 6111 computations (65.8% saved)

prune329.0ms (2.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	793	7	800
Fresh	6	2	8
Picked	1	0	1
Done	2	2	4
Total	802	11	813

Error

Counts

813 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.8b	(/.f64 (/.f64 (expm1.f64 (.f64 a eps)) (.f64 a eps)) b)
✓	14.4b	(/.f64 (+.f64 a b) (*.f64 a b))
	49.0b	(/.f64 eps (*.f64 eps b))
	45.4b	(/.f64 eps (expm1.f64 (*.f64 a eps)))
▶	34.9b	(/.f64 1 b)
✓	30.8b	(/.f64 1 a)
▶	2.7b	(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
	3.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))
▶	8.6b	(*.f64 (/.f64 1 a) (/.f64 (+.f64 a b) b))
	37.1b	(.f64 (.f64 (+.f64 a b) eps) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))
▶	48.0b	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 214 to 147 computations (31.3% saved)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

61 → 55

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 eps a))
✓	19.4b	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

75 → 57

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 a b) b)
✓	5.3b	(*.f64 (/.f64 1 a) (/.f64 (+.f64 a b) b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	198	19
2	2866	19

Stop Event

1×	node limit

Counts

1 → 141

Calls

Call 1

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

Outputs

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

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

914×	`associate-/r*`
656×	`associate-/l*`
638×	`associate-/r/`
528×	`times-frac`
494×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	421	5855
1	1246	5655
2	5441	5585

Stop Event

1×	node limit

Counts

165 → 232

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 a eps))
✓	0.0b	(/.f64 (/.f64 (expm1.f64 (.f64 a eps)) (.f64 a eps)) b)
✓	18.0b	(/.f64 (expm1.f64 (.f64 a eps)) (.f64 a eps))

Compiler

Compiled 31 to 7 computations (77.4% saved)

series11.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite120.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`unswap-sqr`
820×	`swap-sqr`
768×	`associate-/l/`
636×	`associate-/r/`
448×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	208	63
2	2954	63

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

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

Outputs

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

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1576×	`associate-r`
1200×	`associate-l`
978×	`times-frac`
942×	`associate-/l*`
650×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	481	8296
1	1328	7918

Stop Event

1×	node limit

Counts

276 → 260

Calls

Call 1

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

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

eval138.0ms (0.9%)

Compiler: Compiled 12019 to 4063 computations (66.2% saved)

prune172.0ms (1.2%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	667	5	672
Fresh	0	4	4
Picked	1	0	1
Done	2	4	6
Total	670	13	683

Error

Counts

683 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	8.5b	(/.f64 (/.f64 (+.f64 a b) b) a)
	32.0b	(/.f64 (/.f64 eps a) eps)
✓	14.4b	(/.f64 (+.f64 a b) (*.f64 a b))
▶	49.0b	(/.f64 eps (*.f64 eps b))
▶	45.4b	(/.f64 eps (expm1.f64 (*.f64 a eps)))
✓	34.9b	(/.f64 1 b)
✓	30.8b	(/.f64 1 a)
	8.2b	(-.f64 (/.f64 (/.f64 (+.f64 b a) b) a) (*.f64 1/2 eps))
▶	34.6b	(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
▶	34.4b	(-.f64 (+.f64 1 (/.f64 (/.f64 eps eps) a)) 1)
▶	3.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	37.1b	(.f64 (.f64 (+.f64 a b) eps) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))
✓	48.0b	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 228 to 157 computations (31.1% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.4b	(/.f64 eps (*.f64 eps b))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

60 → 48

Calls

Call 1

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

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

localize8.0ms (0.1%)

Compiler: Compiled 20 to 14 computations (30% saved)

localize34.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (/.f64 eps eps) a))
✓	2.8b	(-.f64 (+.f64 1 (/.f64 (/.f64 eps eps) a)) 1)

Compiler

Compiled 30 to 12 computations (60% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

139 → 114

Calls

Call 1

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

Outputs
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
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(+.f64 1 (/.f64 1 a))
(-.f64 1 (/.f64 -1 a))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 a))))
(+.f64 1 (/.f64 1 a))
(-.f64 1 (/.f64 -1 a))
(exp.f64 (log1p.f64 (/.f64 1 a)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 a)) 1))
(exp.f64 (log1p.f64 (/.f64 1 a)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 a))))
(+.f64 1 (/.f64 1 a))
(-.f64 1 (/.f64 -1 a))
(fma.f64 1 (/.f64 1 a) 1)
(+.f64 1 (/.f64 1 a))
(-.f64 1 (/.f64 -1 a))
(fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a)) 1)
(+.f64 1 (/.f64 1 a))
(-.f64 1 (/.f64 -1 a))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 a)) 2) (cbrt.f64 (/.f64 1 a)) 1)
(+.f64 1 (/.f64 1 a))
(-.f64 1 (/.f64 -1 a))

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a eps))
✓	18.2b	(/.f64 eps (expm1.f64 (*.f64 a eps)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`add-sqr-sqrt`
1626×	`*-un-lft-identity`
1506×	`add-cube-cbrt`
1482×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	159	17
2	2015	17

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1156×	`associate-+l-`
1074×	`associate-+r-`
926×	`associate--r+`
812×	`fma-def`
742×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1394
1	362	1334
2	1433	1310
3	5707	1310

Stop Event

1×	node limit

Counts

56 → 63

Calls

Call 1

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

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

eval119.0ms (0.8%)

Compiler: Compiled 4617 to 2659 computations (42.4% saved)

prune88.0ms (0.6%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	342	2	344
Fresh	2	2	4
Picked	0	1	1
Done	3	5	8
Total	347	10	357

Error

Counts

357 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	8.5b	(/.f64 (/.f64 (+.f64 b a) b) a)
✓	49.0b	(/.f64 eps (*.f64 eps b))
✓	45.4b	(/.f64 eps (expm1.f64 (*.f64 a eps)))
✓	34.9b	(/.f64 1 b)
✓	30.8b	(/.f64 1 a)
	8.2b	(-.f64 (/.f64 (/.f64 (+.f64 b a) b) a) (*.f64 1/2 eps))
✓	34.6b	(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
	61.5b	(-.f64 1 1)
✓	3.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	37.1b	(.f64 (.f64 (+.f64 a b) eps) (/.f64 (/.f64 1 a) (expm1.f64 (*.f64 b eps))))

Compiler

Compiled 96 to 69 computations (28.1% saved)

regimes77.0ms (0.5%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	eps
16.0ms	b
15.0ms	a
10.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Results

Error	Segments	Branch
2.7b	1	`a`
2.7b	1	`b`
1.6b	2	`eps`
0.0b	3	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))`

Compiler

Compiled 369 to 152 computations (58.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.112574166542868e-29	+inf
0.0ms	-inf	-1.4368708352278133e-9

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes80.0ms (0.5%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	b
16.0ms	eps
15.0ms	a

Results

Error	Segments	Branch
2.7b	1	`a`
2.7b	1	`b`
2.7b	1	`eps`

Compiler

Compiled 248 to 112 computations (54.8% saved)

regimes30.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	a
9.0ms	eps
9.0ms	b

Results

Error	Segments	Branch
3.0b	1	`a`
3.0b	1	`b`
3.0b	1	`eps`

Compiler

Compiled 112 to 62 computations (44.6% saved)

regimes106.0ms (0.7%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	b
36.0ms	eps
18.0ms	a

Results

Error	Segments	Branch
11.7b	4	`a`
11.0b	2	`b`
23.4b	4	`eps`

Compiler

Compiled 48 to 31 computations (35.4% saved)

bsearch114.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
113.0ms	1.9972435461455048e-135	4.847809681108261e-132

Results

81.0ms	85×	body	2048	valid
30.0ms	42×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 145 to 120 computations (17.2% saved)

regimes51.0ms (0.3%)

Accuracy

Total -31.7b remaining (-102.9%)

Threshold costs -31.7b (-102.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1 a)

Calls

3 calls:

44.0ms	eps
3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
30.8b	1	`a`
30.8b	1	`b`
30.8b	1	`eps`

Compiler

Compiled 21 to 17 computations (19% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	318
1	74	318
2	85	318
3	89	318
4	92	318
5	93	318

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 7136238463529799/178405961588244985132285746181186892047843328) (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (.f64 eps b)))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 b 7672009237256583/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(-.f64 1 1)

Outputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 7136238463529799/178405961588244985132285746181186892047843328) (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 a eps)) (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))) 7136238463529799/178405961588244985132285746181186892047843328))) (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 -1/2 eps))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 eps -1/2))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 b 7672009237256583/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(-.f64 1 1)
0

Compiler

Compiled 128 to 83 computations (35.2% saved)

soundness213.0ms (1.4%)

Algorithm

3×	egg-herbie

Rules

1724×	`times-frac`
1724×	`times-frac`
1572×	`associate-r`
1172×	`associate-l`
1096×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	55
1	49	55
2	110	55
3	276	55
4	944	55
5	7287	55
0	20	55
1	49	55
2	110	55
3	276	55
4	944	55
5	7287	55
0	648	18454
1	2075	18382

Stop Event

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

Compiler

Compiled 395 to 149 computations (62.3% saved)

end69.0ms (0.5%)

Compiler: Compiled 275 to 158 computations (42.5% saved)