Details

analyze561.0ms (3.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	49.9%	50.1%	0
0%	49.9%	50.1%	1
0%	49.9%	50.1%	2
0%	49.9%	50.1%	3
0%	49.9%	50.1%	4
0%	49.9%	50.1%	5
0%	49.9%	50.1%	6
0%	49.9%	50.1%	7
0%	49.9%	50.1%	8
0.4%	49.5%	50.1%	9
0.4%	48.9%	50.7%	10
0.6%	48.2%	51.2%	11
1.1%	47.3%	51.7%	12

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample9.7s (58.5%)

Results

5.7s	4134×	body	2048	valid
2.3s	2536×	body	1024	valid
446.0ms	740×	body	512	valid
358.0ms	464×	body	1024	invalid
301.0ms	307×	body	2048	invalid
129.0ms	233×	body	512	invalid
114.0ms	259×	body	256	valid
103.0ms	558×	body	64	invalid
88.0ms	457×	body	64	valid
51.0ms	109×	body	256	invalid
48.0ms	57×	body	128	invalid
38.0ms	113×	body	128	valid
33.0ms	17×	body	4096	valid

preprocess41.0ms (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	789	112
4	3415	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 b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 b eps)) 1) (-.f64 (exp.f64 (*.f64 a eps)) 1)))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(/.f64 (.f64 a (-.f64 (exp.f64 (.f64 (+.f64 eps b) a)) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 b a)) 1)))
(.f64 (/.f64 a (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 a (+.f64 eps b))) (expm1.f64 (.f64 a b))))
(/.f64 (/.f64 (expm1.f64 (.f64 a (+.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps a)) a)) (expm1.f64 (*.f64 a b)))
(.f64 (expm1.f64 (.f64 a (+.f64 eps b))) (/.f64 (/.f64 a (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 eps b))) (/.f64 (expm1.f64 (.f64 b (+.f64 eps a))) (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)))))
(/.f64 b (.f64 (expm1.f64 (.f64 a b)) (/.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 b (+.f64 eps a))))))

Symmetry

(sort a b)

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

986×	`times-frac_binary64`
580×	`associate-/l*_binary64`
453×	`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	271	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 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

30.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	30.2b	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))

Compiler

Compiled 87 to 54 computations (37.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.4b	(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps b)))
✓	12.0b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))
✓	27.8b	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))

series50.0ms (0.3%)

Counts

4 → 144

Calls

36 calls:

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

rewrite117.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`prod-diff_binary64`
289×	`fma-def_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
238×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	300	79
2	4270	79

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.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 a)) (expm1.f64 (.f64 eps (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 (.f64 eps b)) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (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 /.f64 (neg.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))) (neg.f64 (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) 1) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) 2)) (cbrt.f64 (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (sqrt.f64 (expm1.f64 (.f64 eps b)))) (sqrt.f64 (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) eps) (neg.f64 (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (/.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a)))) (neg.f64 (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.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 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.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 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.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 eps a)) (expm1.f64 (.f64 eps b)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 eps a))) (/.f64 1 (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 1 (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps 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simplify123.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

952×	`times-frac_binary64`
605×	`cancel-sign-sub-inv_binary64`
330×	`fma-def_binary64`
286×	`fma-neg_binary64`
270×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	6262
1	1228	6139
2	4514	6003

Stop Event

1×	node limit

Counts

269 → 232

Calls

Call 1

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

prune449.0ms (2.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	227	5	232
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	228	5	233

Error

0.2b

Counts

233 → 5

Alt Table

Status	Error	Program
	35.2b	(/.f64 1 b)
	39.6b	(.f64 eps (/.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) 3)) (expm1.f64 (.f64 eps b))))
	36.7b	(.f64 eps (.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (/.f64 1 (expm1.f64 (.f64 eps b))))))
▶	28.8b	(/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b))))))
	30.9b	(/.f64 1 a)

Compiler

Compiled 10021 to 3902 computations (61.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.3b	(.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))))
✓	12.3b	(/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b))))
✓	26.3b	(/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b))))))

series27.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Expression
3.0ms	a	@	(/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b))))
2.0ms	eps	@	(.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))))
2.0ms	eps	@	(/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b))))
2.0ms	b	@	(.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))))
1.0ms	a	@	(.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

907×	`prod-diff_binary64`
286×	`fma-def_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
238×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	300	70
2	4277	70

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs

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

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

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

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

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simplify126.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

655×	`cancel-sign-sub-inv_binary64`
313×	`fma-def_binary64`
275×	`associate-r_binary64`
264×	`distribute-rgt-neg-out_binary64`
261×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	6282
1	1311	6103
2	5058	5858

Stop Event

1×	node limit

Counts

210 → 181

Calls

Call 1

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

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

prune953.0ms (5.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	231	2	233
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	233	5	238

Error

0.2b

Counts

238 → 5

Alt Table

Status	Error	Program
	39.6b	(.f64 eps (/.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) 3)) (expm1.f64 (.f64 eps b))))
	36.7b	(.f64 eps (.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (/.f64 1 (expm1.f64 (.f64 eps b))))))
	35.2b	(/.f64 1 b)
✓	28.8b	(/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b))))))
▶	30.9b	(/.f64 1 a)

Compiler

Compiled 10712 to 4237 computations (60.4% saved)

localize2.0ms (0%)

prune4.0ms (0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Error

0.2b

Counts

5 → 5

Alt Table

Status	Error	Program
	39.6b	(.f64 eps (/.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) 3)) (expm1.f64 (.f64 eps b))))
	36.7b	(.f64 eps (.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (/.f64 1 (expm1.f64 (.f64 eps b))))))
▶	35.2b	(/.f64 1 b)
✓	28.8b	(/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b))))))
✓	30.9b	(/.f64 1 a)

Compiler

Compiled 164 to 97 computations (40.9% saved)

localize2.0ms (0%)

prune3.0ms (0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	2	2
Total	5	5

Error

0.2b

Counts

5 → 5

Alt Table

Status	Error	Program
	39.6b	(.f64 eps (/.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) 3)) (expm1.f64 (.f64 eps b))))
	36.7b	(.f64 eps (.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (/.f64 1 (expm1.f64 (.f64 eps b))))))
✓	35.2b	(/.f64 1 b)
✓	28.8b	(/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b))))))
✓	30.9b	(/.f64 1 a)

Compiler

Compiled 97 to 59 computations (39.2% saved)

regimes113.0ms (0.7%)

Accuracy

Total -55.3b remaining (-649.2%)

Threshold costs -55.3b (-649.2%)

Counts

9 → 9

Calls

Call 1

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

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

Results

21.0ms	9.3b	`a`
47.0ms	8.5b	`b`
31.0ms	17.2b	`eps`
8.0ms	20.3b	`(/.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 169 to 78 computations (53.8% saved)

bsearch4.1s (24.9%)

Algorithm

8×	binary-search

Calls

8 calls:

1.6s	b
1.0s	b
274.0ms	b
263.0ms	b
258.0ms	b

Steps

Iters	Point		Range
1.35e+130	∈ [	1.3314271100109983e+130	,	7.088475439595164e+131	]
4.2e+98	∈ [	3.202384424233325e+94	,	4.228159591537003e+98	]
3.774224499861799e+27	∈ [	3.774224499861799e+27	,	2.8005280770391023e+32	]
115459654249290030.0	∈ [	115459654249290030.0	,	1030218279591737300.0	]
1.0047759367962661e-32	∈ [	1.0047759367962661e-32	,	1.0528081241846659e-32	]
6.12998103399392e-110	∈ [	6.12998103399392e-110	,	4.890774150995495e-96	]
1.3173603602197661e-169	∈ [	1.3173603602197661e-169	,	6.04401695760335e-166	]
-1468921.9320928177	∈ [	-1468921.9320928177	,	-1674.6506898553862	]

Compiler

Compiled 468 to 324 computations (30.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	156
1	49	156

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -6308971658715785/4294967296) (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (/.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 a b)))))) (if (<=.f64 b 4478080880278399/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (/.f64 1 b) (if (<=.f64 b 10373787010797314/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 1 a) (if (<=.f64 b 14684816767784348/1461501637330902918203684832716283019655932542976) (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (/.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 a b)))))) (if (<=.f64 b 115459654249290032) (/.f64 1 a) (if (<=.f64 b 3774224499861798873555009536) (/.f64 1 b) (if (<=.f64 b 420000000000000008136215935268462382860750389803340998352620886714513869370015311858343953309892608) (/.f64 1 a) (if (<=.f64 b 13499999999999999206365054593171087001025537772322111625429677460075940192364607216536809493365730805947104084830138873074681905152) (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (/.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 a b)))))) (/.f64 1 a)))))))))

Outputs

(if (<=.f64 b -6308971658715785/4294967296) (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (/.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 a b)))))) (if (<=.f64 b 4478080880278399/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (/.f64 1 b) (if (<=.f64 b 10373787010797314/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 1 a) (if (<=.f64 b 14684816767784348/1461501637330902918203684832716283019655932542976) (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (/.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 a b)))))) (if (<=.f64 b 115459654249290032) (/.f64 1 a) (if (<=.f64 b 3774224499861798873555009536) (/.f64 1 b) (if (<=.f64 b 420000000000000008136215935268462382860750389803340998352620886714513869370015311858343953309892608) (/.f64 1 a) (if (<=.f64 b 13499999999999999206365054593171087001025537772322111625429677460075940192364607216536809493365730805947104084830138873074681905152) (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (/.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 a b)))))) (/.f64 1 a)))))))))

(if (<=.f64 b -6308971658715785/4294967296) (/.f64 eps (*.f64 (expm1.f64 (*.f64 b eps)) (/.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 b a)))))) (if (<=.f64 b 4478080880278399/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (/.f64 1 b) (if (<=.f64 b 5186893505398657/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 1 a) (if (<=.f64 b 3671204191946087/365375409332725729550921208179070754913983135744) (/.f64 eps (*.f64 (expm1.f64 (*.f64 b eps)) (/.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 b a)))))) (if (<=.f64 b 115459654249290032) (/.f64 1 a) (if (<=.f64 b 3774224499861798873555009536) (/.f64 1 b) (if (<=.f64 b 420000000000000008136215935268462382860750389803340998352620886714513869370015311858343953309892608) (/.f64 1 a) (if (<=.f64 b 13499999999999999206365054593171087001025537772322111625429677460075940192364607216536809493365730805947104084830138873074681905152) (/.f64 eps (*.f64 (expm1.f64 (*.f64 b eps)) (/.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 b a)))))) (/.f64 1 a)))))))))

end50.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 428 to 196 computations (54.2% saved)

Details

analyze561.0ms (3.4%)

sample9.7s (58.5%)

preprocess41.0ms (0.2%)

simplify20.0ms (0.1%)

prune3.0ms (0%)

localize12.0ms (0.1%)

series50.0ms (0.3%)

rewrite117.0ms (0.7%)

simplify123.0ms (0.7%)

prune449.0ms (2.7%)

localize13.0ms (0.1%)

series27.0ms (0.2%)

rewrite82.0ms (0.5%)

simplify126.0ms (0.8%)

prune953.0ms (5.8%)

localize2.0ms (0%)

prune4.0ms (0%)

localize2.0ms (0%)

prune3.0ms (0%)

regimes113.0ms (0.7%)

bsearch4.1s (24.9%)

simplify3.0ms (0%)

end50.0ms (0.3%)

Profiling