Details

analyze638.0ms (3.3%)

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)

sample9.4s (48.4%)

Results

5.6s	4114×	body	2048	valid
2.1s	2538×	body	1024	valid
568.0ms	306×	body	2048	unsamplable
434.0ms	762×	body	512	valid
309.0ms	460×	body	1024	unsamplable
162.0ms	833×	body	256	valid
134.0ms	718×	body	256	unsamplable
83.0ms	233×	body	512	unsamplable
20.0ms	9×	body	4096	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess46.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

604×	`associate-/l/_binary64`
556×	`distribute-rgt-in_binary64`
547×	`distribute-lft-in_binary64`
333×	`div-sub_binary64`
265×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	112
1	146	112
2	314	112
3	787	112
4	3423	112
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 (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)))))
(/.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 (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)))))
(/.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 (.f64 a (expm1.f64 (.f64 a (+.f64 eps b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 a b))))
(.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 (/.f64 (.f64 b (expm1.f64 (.f64 b (+.f64 eps a)))) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 a b)))
(.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)

simplify29.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

986×	`times-frac_binary64`
580×	`associate-/l*_binary64`
452×	`associate-l_binary64`
435×	`associate-r_binary64`
372×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28

Stop Event

1×	node limit

Counts

1 → 2

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

eval1.0ms (0%)

Compiler: Compiled 45 to 28 computations (37.8% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

39.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.7b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	61.0b	(/.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)))

Status

Error

Program

▶

39.7b

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

▶

61.0b

(/.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 48 to 32 computations (33.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.1b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	13.0b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	28.5b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 77 to 13 computations (83.1% saved)

series40.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

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

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`prod-diff_binary64`
838×	`log-prod_binary64`
289×	`fma-def_binary64`
269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	76
1	294	76
2	4083	76

Stop Event

1×	node limit

Counts

4 → 120

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 0 (.f64 eps (/.f64 (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 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (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 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (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 (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 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.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)) (expm1.f64 (.f64 eps b))) (.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 (neg.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (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 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) 1) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 2)) (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (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 b)) (neg.f64 (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 eps (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(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 pow.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 pow.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.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 eps) (/.f64 (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 log.f64 (+.f64 1 (expm1.f64 (.f64 eps (/.f64 (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 cbrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 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simplify146.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

881×	`times-frac_binary64`
420×	`cancel-sign-sub-inv_binary64`
338×	`associate-r_binary64`
336×	`fma-def_binary64`
268×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	5943
1	1129	5861
2	4341	5743

Stop Event

1×	node limit

Counts

264 → 228

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))
(-.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 (/.f64 1 b) (.f64 (pow.f64 b 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/2 (.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)))))) eps)) (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 1/2 eps))))))))))) (*.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 eps (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 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 (.f64 -1 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 (.f64 -1 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 (.f64 -1 b)))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
(-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 1 (.f64 eps a)))) (/.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 (.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)))) eps) (+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 1 (.f64 eps a))))) (/.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 (.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 2)) (+.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)))) eps) (+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 1 (.f64 eps a)))))) (/.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 (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 (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 (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 (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 (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 (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 (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 (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 (*.f64 eps a))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (*.f64 eps a))) 1/2)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) 1/2))))) a) (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (*.f64 eps a)))) 1/2)
(-.f64 (+.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) 1/2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) 1/2))))) eps)))))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) 1/2))))) a) (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))))) 1/2)
(/.f64 (-.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 (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 (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 (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 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 1 (*.f64 eps b))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (*.f64 eps b))) 1/2)
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (+.f64 (/.f64 1 (.f64 eps b)) (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2))))) b))) 1/2)
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) 1/2))))) b) (.f64 (pow.f64 b 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) 1/2))) (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) 1/2)))))))))))))) 1/2)
(/.f64 (-.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 (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 (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 (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 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(.f64 (pow.f64 eps 2) (.f64 a b))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 (pow.f64 eps 4) (+.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 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 (pow.f64 eps 4) (+.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 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 (pow.f64 eps 5) (+.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 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 4) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b)))
(+.f64 (.f64 1/6 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))))
(+.f64 (.f64 1/6 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (+.f64 (.f64 1/24 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 4) (pow.f64 b 4)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b)))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(*.f64 eps (+.f64 a b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 a b) 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (exp.f64 (.f64 eps b))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b)))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (exp.f64 (.f64 eps b))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b))))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (exp.f64 (.f64 eps a))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a)))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 3) (exp.f64 (.f64 eps a))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a))))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
✓	3.4b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
✓	4.1b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
✓	6.4b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

Compiler

Compiled 102 to 34 computations (66.7% saved)

series11.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

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

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`prod-diff_binary64`
456×	`fma-def_binary64`
293×	`log1p-udef_binary64`
290×	`expm1-udef_binary64`
278×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	35
1	342	35
2	4641	35

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

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

simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

601×	`unsub-neg_binary64`
400×	`associate-+l+_binary64`
330×	`distribute-rgt-in_binary64`
319×	`distribute-lft-in_binary64`
318×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	2099
1	570	2085
2	2159	1954
3	5427	1903

Stop Event

1×	node limit

Counts

267 → 215

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (exp.f64 (.f64 eps b))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b)))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (exp.f64 (.f64 eps b))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b))))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (exp.f64 (.f64 eps a))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a)))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 3) (exp.f64 (.f64 eps a))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a))))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(*.f64 eps (+.f64 a b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 a b) 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(*.f64 eps b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(*.f64 eps b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 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 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 (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 4) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (pow.f64 eps 2) (.f64 a b))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 (pow.f64 eps 4) (+.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 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 (pow.f64 eps 4) (+.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 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 (pow.f64 eps 5) (+.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 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b)))
(+.f64 (.f64 1/6 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))))
(+.f64 (.f64 1/6 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (+.f64 (.f64 1/24 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 4) (pow.f64 b 4)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b)))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))

Outputs
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (exp.f64 (.f64 eps b))) 1)
(+.f64 (.f64 eps (.f64 (pow.f64 (exp.f64 eps) b) a)) (expm1.f64 (*.f64 eps b)))
(fma.f64 (.f64 eps a) (pow.f64 (exp.f64 eps) b) (expm1.f64 (.f64 eps b)))
(fma.f64 (+.f64 1 (*.f64 eps a)) (pow.f64 (exp.f64 eps) b) -1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b)))) 1)
(+.f64 (fma.f64 eps (.f64 (pow.f64 (exp.f64 eps) b) a) (fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 (pow.f64 (exp.f64 eps) b) (*.f64 a a))) (pow.f64 (exp.f64 eps) b))) -1)
(+.f64 (fma.f64 eps (.f64 (pow.f64 (exp.f64 eps) b) a) (.f64 (.f64 (.f64 1/2 (.f64 eps eps)) (pow.f64 (exp.f64 eps) b)) (.f64 a a))) (expm1.f64 (*.f64 eps b)))
(+.f64 (expm1.f64 (.f64 eps b)) (.f64 (pow.f64 (exp.f64 eps) b) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))))
(fma.f64 (pow.f64 (exp.f64 eps) b) (+.f64 (+.f64 1 (.f64 eps a)) (.f64 1/2 (.f64 (.f64 eps a) (*.f64 eps a)))) -1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (exp.f64 (.f64 eps b))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b))))) 1)
(+.f64 (fma.f64 eps (.f64 (pow.f64 (exp.f64 eps) b) a) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 (exp.f64 eps) b) (pow.f64 a 3))) (fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 (pow.f64 (exp.f64 eps) b) (*.f64 a a))) (pow.f64 (exp.f64 eps) b)))) -1)
(fma.f64 (.f64 eps a) (pow.f64 (exp.f64 eps) b) (+.f64 (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (.f64 (pow.f64 (exp.f64 eps) b) (pow.f64 a 3)) (.f64 (.f64 (.f64 1/2 (.f64 eps eps)) (pow.f64 (exp.f64 eps) b)) (.f64 a a))) (expm1.f64 (*.f64 eps b))))
(+.f64 (.f64 (pow.f64 (exp.f64 eps) b) (.f64 (.f64 a a) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) a)))) (fma.f64 (+.f64 1 (.f64 eps a)) (pow.f64 (exp.f64 eps) b) -1))
(+.f64 (.f64 (pow.f64 (exp.f64 eps) b) (fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 eps a)))) (expm1.f64 (*.f64 eps b)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (exp.f64 (.f64 eps a))) 1)
(+.f64 (.f64 eps (.f64 b (pow.f64 (exp.f64 eps) a))) (expm1.f64 (*.f64 eps a)))
(+.f64 -1 (.f64 (+.f64 (.f64 eps b) 1) (pow.f64 (exp.f64 a) eps)))
(fma.f64 (+.f64 (*.f64 eps b) 1) (pow.f64 (exp.f64 a) eps) -1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a)))) 1)
(+.f64 (fma.f64 eps (.f64 b (pow.f64 (exp.f64 eps) a)) (fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 (pow.f64 (exp.f64 eps) a) (*.f64 b b))) (pow.f64 (exp.f64 eps) a))) -1)
(+.f64 -1 (+.f64 (.f64 (+.f64 (.f64 eps b) 1) (pow.f64 (exp.f64 a) eps)) (.f64 (.f64 b (.f64 b (pow.f64 (exp.f64 a) eps))) (.f64 1/2 (*.f64 eps eps)))))
(+.f64 (expm1.f64 (.f64 eps a)) (.f64 (pow.f64 (exp.f64 a) eps) (.f64 b (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) b)))))
(fma.f64 (pow.f64 (exp.f64 a) eps) (+.f64 (+.f64 (.f64 eps b) 1) (.f64 1/2 (.f64 (.f64 (*.f64 b b) eps) eps))) -1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 3) (exp.f64 (.f64 eps a))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a))))) 1)
(+.f64 (fma.f64 eps (.f64 b (pow.f64 (exp.f64 eps) a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 b 3))) (fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 (pow.f64 (exp.f64 eps) a) (*.f64 b b))) (pow.f64 (exp.f64 eps) a)))) -1)
(fma.f64 eps (.f64 b (pow.f64 (exp.f64 a) eps)) (+.f64 (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (.f64 (pow.f64 (exp.f64 a) eps) (pow.f64 b 3)) (.f64 (.f64 b (.f64 b (pow.f64 (exp.f64 a) eps))) (.f64 1/2 (.f64 eps eps)))) (expm1.f64 (*.f64 eps a))))
(+.f64 (.f64 (pow.f64 (exp.f64 a) eps) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) b)))) (fma.f64 (+.f64 (.f64 eps b) 1) (pow.f64 (exp.f64 a) eps) -1))
(+.f64 (.f64 (pow.f64 (exp.f64 a) eps) (fma.f64 1/2 (.f64 (.f64 (.f64 b b) eps) eps) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3) (.f64 eps b)))) (expm1.f64 (*.f64 eps a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(*.f64 eps (+.f64 a b))
(*.f64 eps (+.f64 b a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))
(fma.f64 1/2 (.f64 (.f64 eps eps) (pow.f64 (+.f64 b a) 2)) (*.f64 eps (+.f64 b a)))
(fma.f64 eps (+.f64 b a) (.f64 (pow.f64 (+.f64 b a) 2) (.f64 1/2 (*.f64 eps eps))))
(.f64 (+.f64 b a) (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) (+.f64 b a))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 b a) 3)) (fma.f64 1/2 (.f64 (.f64 eps eps) (pow.f64 (+.f64 b a) 2)) (.f64 eps (+.f64 b a))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 b a) 3)) (fma.f64 eps (+.f64 b a) (.f64 (pow.f64 (+.f64 b a) 2) (.f64 1/2 (.f64 eps eps)))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 b a) 3)) (.f64 (+.f64 b a) (+.f64 eps (.f64 (.f64 1/2 (*.f64 eps eps)) (+.f64 b a)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 a b) 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 b a) 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 b a) 3)) (fma.f64 1/2 (.f64 (.f64 eps eps) (pow.f64 (+.f64 b a) 2)) (*.f64 eps (+.f64 b a)))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 b a) 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 b a) 3)) (fma.f64 eps (+.f64 b a) (.f64 (pow.f64 (+.f64 b a) 2) (.f64 1/2 (*.f64 eps eps))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 b a) 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 b a) 3)) (.f64 (+.f64 b a) (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) (+.f64 b a))))))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 b a)))
(*.f64 eps b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (.f64 eps b))
(fma.f64 eps b (.f64 (.f64 b b) (.f64 1/2 (.f64 eps eps))))
(.f64 b (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) b)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (fma.f64 eps b (.f64 (*.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3))))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3)) (*.f64 eps b)))
(fma.f64 1/2 (.f64 (.f64 (.f64 b b) eps) eps) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3) (*.f64 eps b)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 eps b (.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3)) (.f64 eps b))))
(fma.f64 1/2 (.f64 (.f64 (.f64 b b) eps) eps) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3) (.f64 eps b))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(*.f64 eps b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (.f64 eps b))
(fma.f64 eps b (.f64 (.f64 b b) (.f64 1/2 (.f64 eps eps))))
(.f64 b (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) b)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (fma.f64 eps b (.f64 (*.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3))))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3)) (*.f64 eps b)))
(fma.f64 1/2 (.f64 (.f64 (.f64 b b) eps) eps) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3) (*.f64 eps b)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 eps b (.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 b b))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3)) (.f64 eps b))))
(fma.f64 1/2 (.f64 (.f64 (.f64 b b) eps) eps) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3) (.f64 eps b))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps 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 eps (.f64 eps (.f64 a a))) (.f64 eps a))
(.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps 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 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 a a))) (fma.f64 eps a (.f64 (pow.f64 eps 3) (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.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))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 eps a))))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 a a))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 eps a (.f64 (pow.f64 eps 3) (.f64 1/6 (pow.f64 a 3))))))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 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)
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(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (.f64 eps a))
(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 a a))) (.f64 eps a))
(.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a)))
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(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 a a))) (fma.f64 eps a (.f64 (pow.f64 eps 3) (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
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(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 a a))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 eps a (.f64 (pow.f64 eps 3) (.f64 1/6 (pow.f64 a 3))))))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 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 (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(.f64 eps (.f64 (expm1.f64 (*.f64 eps b)) a))
(.f64 (expm1.f64 (.f64 eps b)) (*.f64 eps a))
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(.f64 (expm1.f64 (.f64 eps b)) (.f64 a (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) a))))
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(fma.f64 1/2 (.f64 eps (.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (.f64 a a)))) (.f64 (expm1.f64 (.f64 eps b)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a))))
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(fma.f64 1/24 (.f64 (expm1.f64 (.f64 eps b)) (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (fma.f64 1/2 (.f64 (expm1.f64 (.f64 eps b)) (.f64 eps (.f64 eps (.f64 a a)))) (fma.f64 eps (.f64 (expm1.f64 (.f64 eps b)) a) (.f64 (.f64 (pow.f64 eps 3) (.f64 1/6 (pow.f64 a 3))) (expm1.f64 (.f64 eps b))))))
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(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (pow.f64 eps 2) (.f64 a b))
(.f64 (.f64 eps eps) (*.f64 b a))
(.f64 eps (.f64 eps (*.f64 b a)))
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(fma.f64 (.f64 eps eps) (.f64 b a) (.f64 (pow.f64 eps 3) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b))))))
(fma.f64 (pow.f64 eps 3) (.f64 1/2 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 eps (.f64 eps (*.f64 b a))))
(.f64 (.f64 eps eps) (+.f64 (.f64 b a) (.f64 (.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) eps)))
(.f64 (.f64 eps eps) (+.f64 (.f64 b a) (.f64 (.f64 b (.f64 (*.f64 a 1/2) (+.f64 b a))) eps)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 (pow.f64 eps 4) (+.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 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))))))
(fma.f64 (.f64 eps eps) (.f64 b a) (fma.f64 (pow.f64 eps 4) (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 1/4 (.f64 (.f64 a a) (.f64 b b))))) (.f64 (pow.f64 eps 3) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))))))
(fma.f64 (.f64 eps eps) (.f64 b a) (fma.f64 (pow.f64 eps 3) (.f64 1/2 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) (.f64 (pow.f64 eps 4) (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)))))))
(fma.f64 (.f64 eps eps) (.f64 b a) (fma.f64 (pow.f64 eps 4) (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (.f64 (.f64 b b) (+.f64 (.f64 (.f64 a a) 1/4) (.f64 (.f64 a 1/6) b)))) (.f64 (.f64 1/2 (pow.f64 eps 3)) (.f64 a (*.f64 b (+.f64 b a))))))
(fma.f64 (.f64 eps eps) (.f64 b a) (fma.f64 (pow.f64 eps 4) (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (.f64 (.f64 b b) (+.f64 (.f64 (.f64 a a) 1/4) (.f64 (.f64 a 1/6) b)))) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a (*.f64 b (+.f64 b a)))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 (pow.f64 eps 4) (+.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 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 (pow.f64 eps 5) (+.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))))))))))
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(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 eps (.f64 b (expm1.f64 (*.f64 eps a))))
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(.f64 (expm1.f64 (.f64 eps a)) (.f64 b (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) b))))
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(fma.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 3) (expm1.f64 (.f64 eps a)))) (.f64 (expm1.f64 (.f64 eps a)) (.f64 b (+.f64 eps (.f64 (.f64 1/2 (*.f64 eps eps)) b)))))
(.f64 (expm1.f64 (.f64 eps a)) (fma.f64 1/2 (.f64 (.f64 (.f64 b b) eps) eps) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3) (*.f64 eps b))))
(+.f64 (.f64 1/6 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (+.f64 (.f64 1/24 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 4) (pow.f64 b 4)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b)))))
(fma.f64 1/6 (.f64 (expm1.f64 (.f64 eps a)) (.f64 (pow.f64 eps 3) (pow.f64 b 3))) (fma.f64 1/2 (.f64 (expm1.f64 (.f64 eps a)) (.f64 (.f64 eps eps) (.f64 b b))) (fma.f64 1/24 (.f64 (expm1.f64 (.f64 eps a)) (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (.f64 eps (.f64 b (expm1.f64 (.f64 eps a)))))))
(fma.f64 1/6 (.f64 (expm1.f64 (.f64 eps a)) (.f64 (pow.f64 eps 3) (pow.f64 b 3))) (fma.f64 1/2 (.f64 (expm1.f64 (.f64 eps a)) (.f64 eps (.f64 eps (.f64 b b)))) (fma.f64 eps (.f64 b (expm1.f64 (.f64 eps a))) (.f64 (expm1.f64 (.f64 eps a)) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 b 4) 1/24))))))
(+.f64 (.f64 (expm1.f64 (.f64 eps a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (.f64 eps b))) (.f64 (expm1.f64 (.f64 eps a)) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) b)))))
(.f64 (expm1.f64 (.f64 eps a)) (fma.f64 1/2 (.f64 (.f64 (.f64 b b) eps) eps) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (pow.f64 b 3) (.f64 eps b)))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))

eval380.0ms (2%)

Compiler: Compiled 16519 to 6402 computations (61.2% saved)

prune98.0ms (0.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	429	14	443
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	431	14	445

Error

Counts

445 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.9b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	33.3b	(.f64 eps (+.f64 (/.f64 (pow.f64 (exp.f64 eps) a) (expm1.f64 (.f64 a eps))) (+.f64 (/.f64 1 (*.f64 b eps)) -1/2)))
▶	11.5b	(/.f64 (+.f64 a b) (*.f64 a b))
	33.2b	(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))
	52.8b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
▶	37.0b	(.f64 eps (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b))))
▶	31.4b	(/.f64 1 a)
	62.4b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps eps) (+.f64 (.f64 b a) (.f64 (.f64 b (.f64 (*.f64 a 1/2) (+.f64 b a))) eps))))
	61.8b	(/.f64 (.f64 eps (expm1.f64 (.f64 eps b))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
	56.7b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))
	56.9b	(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
▶	54.3b	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
	34.3b	(/.f64 1 b)
	11.7b	(/.f64 (/.f64 (+.f64 a b) a) b)

Compiler

Compiled 494 to 324 computations (34.4% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.0b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`pow1_binary64`
816×	`add-log-exp_binary64`
816×	`log1p-expm1-u_binary64`
816×	`expm1-log1p-u_binary64`
799×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	136	10
2	2146	10

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	204
1	10	204

Stop Event

1×

saturated

Counts

62 → 42

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))

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))

localize3.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	3.0b	(.f64 eps (.f64 a b))
✓	3.5b	(/.f64 (+.f64 a b) (.f64 eps (.f64 a b)))
✓	28.5b	(.f64 eps (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b))))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series13.0ms (0.1%)

Counts

3 → 60

Calls

27 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`log-prod_binary64`
601×	`prod-diff_binary64`
281×	`fma-def_binary64`
277×	`pow2_binary64`
251×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	199	36
2	3074	36

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

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

Outputs

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

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

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`associate-/r*_binary64`
3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	654
1	29	654
2	33	654

Stop Event

1×

saturated

Counts

166 → 118

Calls

Call 1

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

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

localize192.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (neg.f64 (*.f64 a eps)))
✓	0.0b	(+.f64 (/.f64 1 b) (*.f64 eps -1/2))
✓	0.0b	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 a eps)))))
✓	3.4b	(-.f64 1 (exp.f64 (neg.f64 (*.f64 a eps))))

Compiler

Compiled 66 to 31 computations (53% saved)

series24.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
13.0ms	eps	@	0	(+.f64 (/.f64 1 b) (*.f64 eps -1/2))
1.0ms	eps	@	-inf	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 a eps)))))
1.0ms	eps	@	inf	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 a eps)))))
1.0ms	a	@	0	(-.f64 1 (exp.f64 (neg.f64 (*.f64 a eps))))
1.0ms	a	@	-inf	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 a eps)))))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

967×	`prod-diff_binary64`
362×	`fma-def_binary64`
254×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`
210×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	305	35
2	4163	35

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

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

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

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-neg_binary64`
748×	`distribute-rgt-out_binary64`
586×	`fma-def_binary64`
550×	`associate-l_binary64`
468×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1194
1	254	1178
2	944	1138
3	4657	1084

Stop Event

1×	node limit

Counts

254 → 191

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 b eps))
	0.1b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	17.7b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
✓	24.2b	(/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))

Compiler

Compiled 66 to 12 computations (81.8% saved)

series11.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite182.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

654×	`log-prod_binary64`
437×	`pow-prod-down_binary64`
295×	`pow2_binary64`
263×	`pow-unpow_binary64`
214×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	266	53
2	3010	27

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-def_binary64`
683×	`associate-l_binary64`
551×	`associate-r_binary64`
336×	`unswap-sqr_binary64`
279×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1010
1	360	994
2	1374	980
3	7119	976

Stop Event

1×	node limit

Counts

217 → 151

Calls

Call 1

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

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

eval474.0ms (2.4%)

Compiler: Compiled 10844 to 4921 computations (54.6% saved)

prune93.0ms (0.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	537	9	546
Fresh	8	1	9
Picked	1	0	1
Done	2	2	4
Total	548	12	560

Error

Counts

560 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	31.2b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
	8.2b	(/.f64 (/.f64 (+.f64 a b) b) a)
▶	34.3b	(/.f64 1 b)
	16.9b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
✓	11.5b	(/.f64 (+.f64 a b) (*.f64 a b))
	44.1b	(/.f64 eps (expm1.f64 (*.f64 eps a)))
	61.5b	(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
▶	2.7b	(+.f64 (/.f64 1 b) (/.f64 1 a))
✓	31.4b	(/.f64 1 a)
▶	2.5b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
▶	47.0b	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (/.f64 1 (.f64 eps a))) 1/2))
▶	46.9b	(.f64 eps (-.f64 (/.f64 1 (.f64 eps a)) 1/2))

Compiler

Compiled 256 to 189 computations (26.2% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`log-prod_binary64`
517×	`fma-def_binary64`
315×	`pow2_binary64`
252×	`fma-neg_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	244	14
2	3517	14

Stop Event

1×	node limit

Counts

1 → 91

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`fma-def_binary64`
5×	`+-commutative_binary64`
2×	`associate-+r+_binary64`
2×	`associate-+l+_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	436
1	28	436
2	33	436

Stop Event

1×

saturated

Counts

127 → 103

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize98.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`pow1_binary64`
795×	`add-log-exp_binary64`
795×	`log1p-expm1-u_binary64`
795×	`expm1-log1p-u_binary64`
777×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	156	10
2	2316	10

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	114
1	10	114

Stop Event

1×

saturated

Counts

59 → 48

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))

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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 eps a))
✓	17.7b	(.f64 eps (-.f64 (/.f64 1 (.f64 eps a)) 1/2))

Compiler

Compiled 31 to 17 computations (45.2% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`pow1_binary64`
893×	`add-log-exp_binary64`
893×	`log1p-expm1-u_binary64`
893×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	193	20
2	2419	20

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	168
1	13	168
2	14	168

Stop Event

1×

saturated

Counts

68 → 48

Calls

Call 1

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

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (*.f64 eps a))
✓	0.3b	(*.f64 1/6 a)
✓	0.7b	(+.f64 (.f64 -1/4 a) (.f64 1/6 a))
✓	17.7b	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (/.f64 1 (.f64 eps a))) 1/2))

Compiler

Compiled 108 to 72 computations (33.3% saved)

series7.0ms (0%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (/.f64 1 (.f64 eps a))) 1/2))
1.0ms	eps	@	-inf	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (/.f64 1 (.f64 eps a))) 1/2))
1.0ms	eps	@	inf	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (/.f64 1 (.f64 eps a))) 1/2))
1.0ms	a	@	0	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (/.f64 1 (.f64 eps a))) 1/2))
1.0ms	a	@	0	(+.f64 (.f64 -1/4 a) (.f64 1/6 a))

rewrite157.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`fma-neg_binary64`
329×	`expm1-udef_binary64`
329×	`log1p-udef_binary64`
256×	`log-pow_binary64`
202×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	31
1	405	30
2	5678	28

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs
(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (/.f64 1 (.f64 eps a))) 1/2))
(+.f64 (.f64 -1/4 a) (.f64 1/6 a))
(*.f64 1/6 a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps (*.f64 a -1/12)) eps) (*.f64 (+.f64 (/.f64 1 (*.f64 eps a)) -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 eps (*.f64 a -1/12)) (/.f64 1 (*.f64 eps a))) eps) (*.f64 -1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 eps (*.f64 a -1/12))) (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps a)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 a -1/12)) (/.f64 1 (*.f64 eps a)))) (*.f64 eps -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 eps (*.f64 a -1/12)) (/.f64 1 (*.f64 eps a))) 3) -1/8) eps) (+.f64 (pow.f64 (+.f64 (*.f64 eps (*.f64 a -1/12)) (/.f64 1 (*.f64 eps a))) 2) (+.f64 1/4 (*.f64 (+.f64 (*.f64 eps (*.f64 a -1/12)) (/.f64 1 (*.f64 eps a))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 eps (*.f64 a -1/12)) (/.f64 1 (*.f64 eps a))) 2) -1/4) eps) (+.f64 (*.f64 eps (*.f64 a -1/12)) (+.f64 (/.f64 1 (*.f64 eps a)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 (*.f64 eps (*.f64 a -1/12)) (/.f64 1 (*.f64 eps a))) 3) -1/8)) (+.f64 (pow.f64 (+.f64 (*.f64 eps (*.f64 a -1/12)) (/.f64 1 (*.f64 eps a))) 2) (+.f64 1/4 (*.f64 (+.f64 (*.f64 eps (*.f64 a -1/12)) (/.f64 1 (*.f64 eps a))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 (*.f64 eps (*.f64 a -1/12)) (/.f64 1 (*.f64 eps a))) 2) -1/4)) (+.f64 (*.f64 eps (*.f64 a -1/12)) (+.f64 (/.f64 1 (*.f64 eps a)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2)) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 (/.f64 1 (*.f64 eps a)) (fma.f64 eps (*.f64 a -1/12) -1/2)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a -1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 a a) 1/16) (*.f64 a -5/12)) (/.f64 (*.f64 (*.f64 a a) 1/36) (*.f64 a -5/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a -1/12)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a -1/12)) (cbrt.f64 (*.f64 (*.f64 a a) 1/144)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 a a) 1/144)) (cbrt.f64 (*.f64 a -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -1/12)) (sqrt.f64 (*.f64 a -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 a 3) -1/64) (*.f64 (pow.f64 a 3) 1/216)) (/.f64 1 (+.f64 (*.f64 (*.f64 a a) 1/16) (*.f64 (*.f64 a 1/6) (-.f64 (*.f64 a 1/6) (*.f64 -1/4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a -1/12) (*.f64 a -5/12)) (/.f64 1 (*.f64 a -5/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/12 a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 a a) 1/16) (*.f64 (*.f64 a 1/6) (-.f64 (*.f64 a 1/6) (*.f64 -1/4 a)))) (+.f64 (*.f64 (pow.f64 a 3) -1/64) (*.f64 (pow.f64 a 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a -5/12) (*.f64 (*.f64 a -1/12) (*.f64 a -5/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 a 3) -1/64) (*.f64 (pow.f64 a 3) 1/216)) (+.f64 (*.f64 (*.f64 a a) 1/16) (*.f64 (*.f64 a 1/6) (-.f64 (*.f64 a 1/6) (*.f64 -1/4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 a 3) -1/64) (*.f64 (pow.f64 a 3) 1/216)) (+.f64 (*.f64 (*.f64 a a) 1/36) (-.f64 (*.f64 (*.f64 a a) 1/16) (*.f64 (*.f64 -1/4 a) (*.f64 a 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a -1/12) (*.f64 a -5/12)) (*.f64 a -5/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 a 3) -1/64) (*.f64 (pow.f64 a 3) 1/216))) (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/16) (*.f64 (*.f64 a 1/6) (-.f64 (*.f64 a 1/6) (*.f64 -1/4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 a -1/12) (*.f64 a -5/12))) (neg.f64 (*.f64 a -5/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a a) 1/36) (*.f64 (*.f64 a a) 1/16)) (-.f64 (*.f64 a 1/6) (*.f64 -1/4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a -1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a -1/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a -1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a -1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a a) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 a))) (pow.f64 (exp.f64 a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) -1/4) (+.f64 1 (expm1.f64 (*.f64 a 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 a))) (+.f64 1 (expm1.f64 (*.f64 a 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/6))) (pow.f64 (exp.f64 a) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) 1/6) (+.f64 1 (expm1.f64 (*.f64 -1/4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/6))) (+.f64 1 (expm1.f64 (*.f64 -1/4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a -1/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a -1/12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 a (*.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a -1/4 (*.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1/6 (*.f64 -1/4 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 a (*.f64 -1/4 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/4 a) (*.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 1/6) (*.f64 -1/4 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 1/16)) (cbrt.f64 (*.f64 -1/4 a)) (*.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 1/36)) (cbrt.f64 (*.f64 a 1/6)) (*.f64 -1/4 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/4 a)) (sqrt.f64 (*.f64 -1/4 a)) (*.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a 1/6)) (sqrt.f64 (*.f64 a 1/6)) (*.f64 -1/4 a))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a a) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a 1/6)) 1))))))

simplify243.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-neg_binary64`
586×	`distribute-rgt-neg-in_binary64`
585×	`fma-def_binary64`
567×	`cancel-sign-sub-inv_binary64`
440×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	440
1	80	424
2	221	380
3	690	368
4	2644	368
5	5656	368
6	7720	368

Stop Event

1×	node limit

Counts

121 → 98

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 1/6 a) (.f64 -1/4 a)))) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 a) (.f64 -1/4 a)))) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (*.f64 -1/2 eps))
(+.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 1 a)))
(.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (*.f64 -1/2 eps))
(+.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 1 a)))
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(.f64 1/12 (.f64 (pow.f64 eps 2) a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (*.f64 -1/2 eps))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(.f64 1/12 (.f64 (pow.f64 eps 2) a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (*.f64 -1/2 eps))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 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 1/6 a) (.f64 -1/4 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 eps (.f64 eps (*.f64 a -1/12))))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (+.f64 -1/2 (.f64 a (.f64 eps 1/12))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 eps (fma.f64 -1/12 (.f64 a eps) 1/2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 a) (.f64 -1/4 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 eps (.f64 eps (*.f64 a -1/12))))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (+.f64 -1/2 (.f64 a (.f64 eps 1/12))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 eps (fma.f64 -1/12 (.f64 a eps) 1/2)))
(.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a))))
(neg.f64 (.f64 (.f64 eps eps) (*.f64 a -1/12)))
(neg.f64 (.f64 eps (.f64 eps (*.f64 a -1/12))))
(.f64 eps (.f64 eps (*.f64 a 1/12)))
(.f64 a (.f64 eps (*.f64 eps 1/12)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (*.f64 -1/2 eps))
(fma.f64 -1 (.f64 (.f64 eps eps) (.f64 a -1/12)) (.f64 -1/2 eps))
(-.f64 (.f64 -1/2 eps) (.f64 eps (.f64 eps (.f64 a -1/12))))
(.f64 eps (-.f64 -1/2 (.f64 eps (*.f64 a -1/12))))
(.f64 eps (+.f64 -1/2 (.f64 a (*.f64 eps 1/12))))
(.f64 (neg.f64 eps) (fma.f64 -1/12 (.f64 a eps) 1/2))
(+.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 eps (.f64 eps (*.f64 a -1/12))))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (+.f64 -1/2 (.f64 a (.f64 eps 1/12))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 eps (fma.f64 -1/12 (.f64 a eps) 1/2)))
(+.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 eps (.f64 eps (*.f64 a -1/12))))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (+.f64 -1/2 (.f64 a (.f64 eps 1/12))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 eps (fma.f64 -1/12 (.f64 a eps) 1/2)))
(.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a))))
(neg.f64 (.f64 (.f64 eps eps) (*.f64 a -1/12)))
(neg.f64 (.f64 eps (.f64 eps (*.f64 a -1/12))))
(.f64 eps (.f64 eps (*.f64 a 1/12)))
(.f64 a (.f64 eps (*.f64 eps 1/12)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (*.f64 -1/2 eps))
(fma.f64 -1 (.f64 (.f64 eps eps) (.f64 a -1/12)) (.f64 -1/2 eps))
(-.f64 (.f64 -1/2 eps) (.f64 eps (.f64 eps (.f64 a -1/12))))
(.f64 eps (-.f64 -1/2 (.f64 eps (*.f64 a -1/12))))
(.f64 eps (+.f64 -1/2 (.f64 a (*.f64 eps 1/12))))
(.f64 (neg.f64 eps) (fma.f64 -1/12 (.f64 a eps) 1/2))
(+.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 eps (.f64 eps (*.f64 a -1/12))))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (+.f64 -1/2 (.f64 a (.f64 eps 1/12))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 eps (fma.f64 -1/12 (.f64 a eps) 1/2)))
(+.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 eps (.f64 eps (*.f64 a -1/12))))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (+.f64 -1/2 (.f64 a (.f64 eps 1/12))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 eps (fma.f64 -1/12 (.f64 a eps) 1/2)))
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) 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 eps (.f64 eps (*.f64 a -1/12))))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (+.f64 -1/2 (.f64 a (.f64 eps 1/12))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 eps (fma.f64 -1/12 (.f64 a eps) 1/2)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) 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 eps (.f64 eps (*.f64 a -1/12))))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (+.f64 -1/2 (.f64 a (.f64 eps 1/12))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 eps (fma.f64 -1/12 (.f64 a eps) 1/2)))
(.f64 1/12 (.f64 (pow.f64 eps 2) a))
(neg.f64 (.f64 (.f64 eps eps) (*.f64 a -1/12)))
(neg.f64 (.f64 eps (.f64 eps (*.f64 a -1/12))))
(.f64 eps (.f64 eps (*.f64 a 1/12)))
(.f64 a (.f64 eps (*.f64 eps 1/12)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (*.f64 -1/2 eps))
(fma.f64 -1 (.f64 (.f64 eps eps) (.f64 a -1/12)) (.f64 -1/2 eps))
(-.f64 (.f64 -1/2 eps) (.f64 eps (.f64 eps (.f64 a -1/12))))
(.f64 eps (-.f64 -1/2 (.f64 eps (*.f64 a -1/12))))
(.f64 eps (+.f64 -1/2 (.f64 a (*.f64 eps 1/12))))
(.f64 (neg.f64 eps) (fma.f64 -1/12 (.f64 a eps) 1/2))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) 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 eps (.f64 eps (*.f64 a -1/12))))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (+.f64 -1/2 (.f64 a (.f64 eps 1/12))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 eps (fma.f64 -1/12 (.f64 a eps) 1/2)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) 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 eps (.f64 eps (*.f64 a -1/12))))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (+.f64 -1/2 (.f64 a (.f64 eps 1/12))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 eps (fma.f64 -1/12 (.f64 a eps) 1/2)))
(.f64 1/12 (.f64 (pow.f64 eps 2) a))
(neg.f64 (.f64 (.f64 eps eps) (*.f64 a -1/12)))
(neg.f64 (.f64 eps (.f64 eps (*.f64 a -1/12))))
(.f64 eps (.f64 eps (*.f64 a 1/12)))
(.f64 a (.f64 eps (*.f64 eps 1/12)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (*.f64 -1/2 eps))
(fma.f64 -1 (.f64 (.f64 eps eps) (.f64 a -1/12)) (.f64 -1/2 eps))
(-.f64 (.f64 -1/2 eps) (.f64 eps (.f64 eps (.f64 a -1/12))))
(.f64 eps (-.f64 -1/2 (.f64 eps (*.f64 a -1/12))))
(.f64 eps (+.f64 -1/2 (.f64 a (*.f64 eps 1/12))))
(.f64 (neg.f64 eps) (fma.f64 -1/12 (.f64 a eps) 1/2))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) 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 eps (.f64 eps (*.f64 a -1/12))))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (+.f64 -1/2 (.f64 a (.f64 eps 1/12))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 eps (fma.f64 -1/12 (.f64 a eps) 1/2)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) 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 eps (.f64 eps (*.f64 a -1/12))))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (+.f64 -1/2 (.f64 a (.f64 eps 1/12))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 eps (fma.f64 -1/12 (.f64 a eps) 1/2)))
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)

eval135.0ms (0.7%)

Compiler: Compiled 6730 to 4726 computations (29.8% saved)

prune69.0ms (0.4%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	373	6	379
Fresh	2	3	5
Picked	1	0	1
Done	1	5	6
Total	377	14	391

Error

Counts

391 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.1b	(/.f64 eps (expm1.f64 (*.f64 eps a)))
▶	8.2b	(/.f64 (/.f64 (+.f64 a b) b) a)
	61.5b	(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
▶	47.0b	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (.f64 a -1/12))) (/.f64 1 (*.f64 eps a))) 1/2))
✓	2.7b	(+.f64 (/.f64 1 b) (/.f64 1 a))
▶	31.2b	(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
✓	34.3b	(/.f64 1 b)
	16.9b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
✓	46.9b	(.f64 eps (-.f64 (/.f64 1 (.f64 eps a)) 1/2))
	34.1b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
✓	11.5b	(/.f64 (+.f64 a b) (*.f64 a b))
✓	31.4b	(/.f64 1 a)
	46.9b	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 -1/4 a) (.f64 1/6 a)))) (.f64 (/.f64 (/.f64 1 a) eps) 1)) 1/2))
▶	62.2b	(*.f64 -1/2 eps)

Compiler

Compiled 276 to 205 computations (25.7% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) b)
✓	5.2b	(/.f64 (/.f64 (+.f64 a b) b) a)

Compiler

Compiled 20 to 6 computations (70% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`pow1_binary64`
888×	`add-log-exp_binary64`
888×	`log1p-expm1-u_binary64`
888×	`expm1-log1p-u_binary64`
77×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	142	17
2	2313	17

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	345
1	13	345

Stop Event

1×

saturated

Counts

119 → 78

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))
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))

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))
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))

localize3.0ms (0%)

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`pow1_binary64`
782×	`add-log-exp_binary64`
782×	`log1p-expm1-u_binary64`
782×	`expm1-log1p-u_binary64`
766×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	169	8
2	2161	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	168
1	13	168
2	14	168

Stop Event

1×

saturated

Counts

59 → 38

Calls

Call 1

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

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 eps (.f64 a -1/12))
	0.2b	(/.f64 1 (*.f64 eps a))
✓	0.3b	(*.f64 a -1/12)
✓	17.7b	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (.f64 a -1/12))) (/.f64 1 (*.f64 eps a))) 1/2))

Compiler

Compiled 77 to 49 computations (36.4% saved)

series7.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (.f64 a -1/12))) (/.f64 1 (*.f64 eps a))) 1/2))
1.0ms	eps	@	-inf	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (.f64 a -1/12))) (/.f64 1 (*.f64 eps a))) 1/2))
1.0ms	a	@	inf	(.f64 eps (.f64 a -1/12))
0.0ms	eps	@	inf	(.f64 eps (.f64 a -1/12))
0.0ms	eps	@	inf	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (.f64 a -1/12))) (/.f64 1 (*.f64 eps a))) 1/2))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`log-prod_binary64`
716×	`fma-def_binary64`
393×	`fma-neg_binary64`
261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	325	33
2	4322	31

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs
(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (.f64 a -1/12))) (/.f64 1 (*.f64 eps a))) 1/2))
(*.f64 a -1/12)
(.f64 eps (.f64 a -1/12))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps (*.f64 a -1/12)) eps) (*.f64 (+.f64 (/.f64 (/.f64 1 eps) a) -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 eps (*.f64 a -1/12) (/.f64 (/.f64 1 eps) a)) eps) (*.f64 -1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 eps (*.f64 a -1/12))) (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (fma.f64 eps (*.f64 a -1/12) (/.f64 (/.f64 1 eps) a))) (*.f64 eps -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2)))) (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 a -1/12) (/.f64 (/.f64 1 eps) a)) 3) -1/8) eps) (+.f64 (pow.f64 (fma.f64 eps (*.f64 a -1/12) (/.f64 (/.f64 1 eps) a)) 2) (fma.f64 (fma.f64 eps (*.f64 a -1/12) (/.f64 (/.f64 1 eps) a)) 1/2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 a -1/12) (/.f64 (/.f64 1 eps) a)) 2) -1/4) eps) (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 eps (*.f64 a -1/12) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (pow.f64 (fma.f64 eps (*.f64 a -1/12) (/.f64 (/.f64 1 eps) a)) 3) -1/8)) (+.f64 (pow.f64 (fma.f64 eps (*.f64 a -1/12) (/.f64 (/.f64 1 eps) a)) 2) (fma.f64 (fma.f64 eps (*.f64 a -1/12) (/.f64 (/.f64 1 eps) a)) 1/2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (pow.f64 (fma.f64 eps (*.f64 a -1/12) (/.f64 (/.f64 1 eps) a)) 2) -1/4)) (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 eps (*.f64 a -1/12) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2)) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) (fma.f64 a (*.f64 -1/12 eps) -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 eps (*.f64 a -1/12)) (*.f64 eps (+.f64 (/.f64 (/.f64 1 eps) a) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (fma.f64 eps (*.f64 a -1/12) (/.f64 (/.f64 1 eps) a)) (*.f64 eps -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (*.f64 a -1/12)) eps (*.f64 (+.f64 (/.f64 (/.f64 1 eps) a) -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 eps (*.f64 a -1/12) (/.f64 (/.f64 1 eps) a)) eps (*.f64 -1/2 eps))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) a)) (cbrt.f64 (pow.f64 (exp.f64 -1/12) a)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/12) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/12) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a -1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a -1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a -1/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a -1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a -1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a -1/12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/12) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a -1/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a -1/12)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (*.f64 a -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/12) a) eps)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/12) a) eps)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/12) a) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/12) a) eps))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/12) a) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 eps (*.f64 a -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 a -1/12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 a -1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 a -1/12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (*.f64 a -1/12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 a -1/12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 eps (*.f64 a -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 eps a) 2) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/12) a) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 a -1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 a -1/12))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 a -1/12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 a -1/12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a -1/12) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 a -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 a -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 a -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 a -1/12))) 1))))))

simplify225.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1080×	`sqr-pow_binary64`
639×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`
537×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	552
1	42	552
2	76	552
3	150	548
4	385	504
5	1167	504
6	1822	504
7	2494	504
8	2607	504
9	2742	504
10	2914	504
11	3157	504
12	3474	504
13	3846	504
14	4301	504
15	4888	504
16	5592	504
17	6450	504
18	6876	504
19	7190	504
20	7502	504
21	7582	504
22	7618	504

Stop Event

1×	node limit

Counts

127 → 80

Calls

Call 1

Inputs
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(.f64 1/12 (.f64 (pow.f64 eps 2) a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (*.f64 -1/2 eps))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(.f64 1/12 (.f64 (pow.f64 eps 2) a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (*.f64 -1/2 eps))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(.f64 1/12 (.f64 (pow.f64 eps 2) a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (*.f64 -1/2 eps))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(.f64 1/12 (.f64 (pow.f64 eps 2) a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (*.f64 -1/2 eps))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(*.f64 -1/12 a)
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.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 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 a (.f64 eps (.f64 eps 1/12)) (/.f64 1 a)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (fma.f64 a (*.f64 eps 1/12) -1/2) (/.f64 1 a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 a (.f64 eps (.f64 eps 1/12)) (/.f64 1 a)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (fma.f64 a (*.f64 eps 1/12) -1/2) (/.f64 1 a))
(.f64 1/12 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 1/12 (*.f64 eps eps)) a)
(.f64 a (.f64 (*.f64 1/12 eps) eps))
(.f64 a (.f64 eps (*.f64 eps 1/12)))
(.f64 eps (.f64 eps (*.f64 a 1/12)))
(.f64 eps (.f64 a (*.f64 eps 1/12)))
(.f64 (.f64 eps eps) (*.f64 a 1/12))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (*.f64 -1/2 eps))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (*.f64 -1/2 eps))
(fma.f64 -1/2 eps (.f64 a (.f64 (*.f64 1/12 eps) eps)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (*.f64 -1/2 eps))
(.f64 eps (+.f64 -1/2 (.f64 eps (*.f64 a 1/12))))
(.f64 eps (fma.f64 a (.f64 eps 1/12) -1/2))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 a (.f64 eps (.f64 eps 1/12)) (/.f64 1 a)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (fma.f64 a (*.f64 eps 1/12) -1/2) (/.f64 1 a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 a (.f64 eps (.f64 eps 1/12)) (/.f64 1 a)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (fma.f64 a (*.f64 eps 1/12) -1/2) (/.f64 1 a))
(.f64 1/12 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 1/12 (*.f64 eps eps)) a)
(.f64 a (.f64 (*.f64 1/12 eps) eps))
(.f64 a (.f64 eps (*.f64 eps 1/12)))
(.f64 eps (.f64 eps (*.f64 a 1/12)))
(.f64 eps (.f64 a (*.f64 eps 1/12)))
(.f64 (.f64 eps eps) (*.f64 a 1/12))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (*.f64 -1/2 eps))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (*.f64 -1/2 eps))
(fma.f64 -1/2 eps (.f64 a (.f64 (*.f64 1/12 eps) eps)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (*.f64 -1/2 eps))
(.f64 eps (+.f64 -1/2 (.f64 eps (*.f64 a 1/12))))
(.f64 eps (fma.f64 a (.f64 eps 1/12) -1/2))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 a (.f64 eps (.f64 eps 1/12)) (/.f64 1 a)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (fma.f64 a (*.f64 eps 1/12) -1/2) (/.f64 1 a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 a (.f64 eps (.f64 eps 1/12)) (/.f64 1 a)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (fma.f64 a (*.f64 eps 1/12) -1/2) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 a (.f64 eps (.f64 eps 1/12)) (/.f64 1 a)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (fma.f64 a (*.f64 eps 1/12) -1/2) (/.f64 1 a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 a (.f64 eps (.f64 eps 1/12)) (/.f64 1 a)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (fma.f64 a (*.f64 eps 1/12) -1/2) (/.f64 1 a))
(.f64 1/12 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 1/12 (*.f64 eps eps)) a)
(.f64 a (.f64 (*.f64 1/12 eps) eps))
(.f64 a (.f64 eps (*.f64 eps 1/12)))
(.f64 eps (.f64 eps (*.f64 a 1/12)))
(.f64 eps (.f64 a (*.f64 eps 1/12)))
(.f64 (.f64 eps eps) (*.f64 a 1/12))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (*.f64 -1/2 eps))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (*.f64 -1/2 eps))
(fma.f64 -1/2 eps (.f64 a (.f64 (*.f64 1/12 eps) eps)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (*.f64 -1/2 eps))
(.f64 eps (+.f64 -1/2 (.f64 eps (*.f64 a 1/12))))
(.f64 eps (fma.f64 a (.f64 eps 1/12) -1/2))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 a (.f64 eps (.f64 eps 1/12)) (/.f64 1 a)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (fma.f64 a (*.f64 eps 1/12) -1/2) (/.f64 1 a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 a (.f64 eps (.f64 eps 1/12)) (/.f64 1 a)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (fma.f64 a (*.f64 eps 1/12) -1/2) (/.f64 1 a))
(.f64 1/12 (.f64 (pow.f64 eps 2) a))
(.f64 (.f64 1/12 (*.f64 eps eps)) a)
(.f64 a (.f64 (*.f64 1/12 eps) eps))
(.f64 a (.f64 eps (*.f64 eps 1/12)))
(.f64 eps (.f64 eps (*.f64 a 1/12)))
(.f64 eps (.f64 a (*.f64 eps 1/12)))
(.f64 (.f64 eps eps) (*.f64 a 1/12))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (*.f64 -1/2 eps))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (*.f64 -1/2 eps))
(fma.f64 -1/2 eps (.f64 a (.f64 (*.f64 1/12 eps) eps)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (*.f64 -1/2 eps))
(.f64 eps (+.f64 -1/2 (.f64 eps (*.f64 a 1/12))))
(.f64 eps (fma.f64 a (.f64 eps 1/12) -1/2))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 a (.f64 eps (.f64 eps 1/12)) (/.f64 1 a)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (fma.f64 a (*.f64 eps 1/12) -1/2) (/.f64 1 a))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 -1/2 eps (fma.f64 a (.f64 eps (.f64 eps 1/12)) (/.f64 1 a)))
(fma.f64 a (.f64 eps (.f64 eps 1/12)) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 eps (fma.f64 a (*.f64 eps 1/12) -1/2) (/.f64 1 a))
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(*.f64 -1/12 a)
(*.f64 a -1/12)
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))
(.f64 -1/12 (.f64 eps a))
(.f64 -1/12 (.f64 a eps))
(.f64 a (.f64 eps -1/12))
(.f64 eps (.f64 a -1/12))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps a))
✓	16.7b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`pow1_binary64`
589×	`add-log-exp_binary64`
589×	`log1p-expm1-u_binary64`
589×	`expm1-log1p-u_binary64`
575×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	122	15
2	1577	15

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

787×	`distribute-rgt-in_binary64`
565×	`fma-def_binary64`
542×	`associate-l_binary64`
453×	`associate-r_binary64`
423×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	536
1	234	532
2	887	518
3	4749	518

Stop Event

1×	node limit

Counts

96 → 68

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 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)

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 (*.f64 eps eps) -1/12)))
(fma.f64 (.f64 eps eps) (.f64 a 1/12) (fma.f64 -1/2 eps (/.f64 1 a)))
(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)) (fma.f64 -1/2 eps (/.f64 1 a)))
(-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) (.f64 a (.f64 (*.f64 eps eps) -1/12)))
(fma.f64 (.f64 eps eps) (.f64 a 1/12) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 a (.f64 (.f64 eps eps) 1/12) (fma.f64 -1/2 eps (/.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 (*.f64 eps eps) -1/12)))
(fma.f64 (.f64 eps eps) (.f64 a 1/12) (fma.f64 -1/2 eps (/.f64 1 a)))
(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 (.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 (*.f64 eps eps) -1/12)))
(fma.f64 (.f64 eps eps) (.f64 a 1/12) (fma.f64 -1/2 eps (/.f64 1 a)))
(fma.f64 a (.f64 (.f64 eps eps) 1/12) (fma.f64 -1/2 eps (/.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 eps a)
(*.f64 a eps)
(+.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 a eps))
(fma.f64 a eps (.f64 (.f64 a a) (.f64 (.f64 eps eps) 1/2)))
(.f64 a (+.f64 eps (.f64 (.f64 eps eps) (.f64 1/2 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 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 a eps)))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 eps eps))) (fma.f64 a eps (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 a 3)))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a (+.f64 eps (.f64 (.f64 eps eps) (*.f64 1/2 a)))))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (pow.f64 a 3)) (.f64 a (+.f64 eps (.f64 (.f64 eps eps) (*.f64 1/2 a)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a eps))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 eps eps))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 a eps (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a (+.f64 eps (.f64 (.f64 eps eps) (.f64 1/2 a))))))
(fma.f64 (pow.f64 eps 4) (.f64 1/24 (pow.f64 a 4)) (fma.f64 (pow.f64 eps 3) (.f64 1/6 (pow.f64 a 3)) (.f64 a (+.f64 eps (.f64 (.f64 eps eps) (.f64 1/2 a))))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(*.f64 eps a)
(*.f64 a eps)
(+.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 a eps))
(fma.f64 a eps (.f64 (.f64 a a) (.f64 (.f64 eps eps) 1/2)))
(.f64 a (+.f64 eps (.f64 (.f64 eps eps) (.f64 1/2 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 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 a eps)))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 eps eps))) (fma.f64 a eps (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 a 3)))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a (+.f64 eps (.f64 (.f64 eps eps) (*.f64 1/2 a)))))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (pow.f64 a 3)) (.f64 a (+.f64 eps (.f64 (.f64 eps eps) (*.f64 1/2 a)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a eps))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 eps eps))) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 a eps (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a (+.f64 eps (.f64 (.f64 eps eps) (.f64 1/2 a))))))
(fma.f64 (pow.f64 eps 4) (.f64 1/24 (pow.f64 a 4)) (fma.f64 (pow.f64 eps 3) (.f64 1/6 (pow.f64 a 3)) (.f64 a (+.f64 eps (.f64 (.f64 eps eps) (.f64 1/2 a))))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 a eps))

eval240.0ms (1.2%)

Compiler: Compiled 4386 to 2521 computations (42.5% saved)

prune164.0ms (0.8%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	284	4	288
Fresh	2	2	4
Picked	0	1	1
Done	1	8	9
Total	287	15	302

Error

Counts

302 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	39.8b	(/.f64 (/.f64 a b) a)
✓	11.5b	(/.f64 (+.f64 a b) (*.f64 a b))
✓	2.7b	(+.f64 (/.f64 1 b) (/.f64 1 a))
✓	31.2b	(+.f64 (/.f64 1 a) (*.f64 eps -1/2))
✓	34.3b	(/.f64 1 b)
	16.9b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
✓	46.9b	(.f64 eps (-.f64 (/.f64 1 (.f64 eps a)) 1/2))
	34.1b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
✓	44.1b	(/.f64 eps (expm1.f64 (*.f64 eps a)))
✓	47.0b	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (.f64 a -1/12))) (/.f64 1 (*.f64 eps a))) 1/2))
	61.5b	(/.f64 eps (-.f64 (exp.f64 (*.f64 eps a)) 1))
✓	31.4b	(/.f64 1 a)
	46.9b	(.f64 eps (-.f64 (+.f64 (.f64 -1 (.f64 eps (.f64 a -1/12))) (*.f64 (/.f64 (/.f64 1 a) eps) 1)) 1/2))
	46.0b	(/.f64 eps (*.f64 eps a))
✓	62.2b	(*.f64 -1/2 eps)

Compiler

Compiled 162 to 120 computations (25.9% saved)

regimes167.0ms (0.9%)

Counts

35 → 3

Calls

Call 1

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

Calls

4 calls:

38.0ms	(/.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)))
37.0ms	eps
36.0ms	b
35.0ms	a

Results

Error	Segments	Branch
2.5b	1	`a`
2.5b	1	`b`
2.5b	1	`eps`
0.0b	3	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))`

Compiler

Compiled 477 to 248 computations (48% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0399237914830898e-28	+inf
0.0ms	-inf	-4.7560688180920075e-8

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes132.0ms (0.7%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	b
30.0ms	eps
29.0ms	a

Results

Error	Segments	Branch
2.5b	1	`a`
2.5b	1	`b`
2.5b	1	`eps`

Compiler

Compiled 351 to 196 computations (44.2% saved)

regimes188.0ms (1%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

146.0ms	a
20.0ms	eps
15.0ms	b

Results

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

Compiler

Compiled 110 to 58 computations (47.3% saved)

regimes95.0ms (0.5%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

41.0ms	a
36.0ms	b
12.0ms	eps

Results

Error	Segments	Branch
3.9b	2	`a`
4.7b	2	`b`
8.2b	1	`eps`

Compiler

Compiled 69 to 40 computations (42% saved)

bsearch1.9s (10%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
1.9s	-2.5040336414349634e+88	-4.4585158183767105e+86

Compiler

Compiled 187 to 136 computations (27.3% saved)

regimes35.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	b
10.0ms	a
5.0ms	eps

Results

Error	Segments	Branch
4.0b	2	`a`
4.8b	2	`b`
8.2b	1	`eps`

Compiler

Compiled 48 to 30 computations (37.5% saved)

bsearch1.1s (5.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
1.1s	-2.5040336414349634e+88	-4.4585158183767105e+86

Compiler

Compiled 159 to 115 computations (27.7% saved)

regimes314.0ms (1.6%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

230.0ms	eps
61.0ms	a
20.0ms	b

Results

Error	Segments	Branch
11.3b	2	`a`
10.6b	2	`b`
22.7b	6	`eps`

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch492.0ms (2.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
489.0ms	1.9800683909998764e-83	1.0183782931528678e-78

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes12.0ms (0.1%)

Accuracy

Total -31.1b remaining (-99%)

Threshold costs -31.1b (-99%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1 a)

Calls

3 calls:

4.0ms	b
3.0ms	a
3.0ms	eps

Results

Error	Segments	Branch
31.4b	1	`a`
31.4b	1	`b`
31.4b	1	`eps`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
7×	`*-commutative_binary64`
3×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	226
1	70	226
2	73	226

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))) 8920298079412249/44601490397061246283071436545296723011960832) (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -449999999999999992780320160222565289067007619985043871773156909885635253587968249561088) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 a -449999999999999992780320160222565289067007619985043871773156909885635253587968249561088) (/.f64 1 b) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 5413632529168015/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(*.f64 -1/2 eps)

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))) 8920298079412249/44601490397061246283071436545296723011960832) (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.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) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.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))) 8920298079412249/44601490397061246283071436545296723011960832) (/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -449999999999999992780320160222565289067007619985043871773156909885635253587968249561088) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 a -449999999999999992780320160222565289067007619985043871773156909885635253587968249561088) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 a -449999999999999992780320160222565289067007619985043871773156909885635253587968249561088) (/.f64 1 b) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 5413632529168015/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(*.f64 -1/2 eps)
(*.f64 eps -1/2)

Compiler

Compiled 176 to 114 computations (35.2% saved)

soundness120.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

986×	`times-frac_binary64`
986×	`times-frac_binary64`
580×	`associate-/l*_binary64`
580×	`associate-/l*_binary64`
452×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 384 to 256 computations (33.3% saved)

end121.0ms (0.6%)

Remove: (sort a b)
Compiler: Compiled 333 to 189 computations (43.2% saved)