Details

analyze807.0ms (4.7%)

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)

sample8.1s (47.6%)

Results

4.9s	4205×	body	2048	valid
1.8s	2480×	body	1024	valid
278.0ms	762×	body	512	valid
267.0ms	460×	body	1024	invalid
246.0ms	729×	body	256	invalid
228.0ms	316×	body	2048	invalid
175.0ms	255×	body	512	invalid
151.0ms	793×	body	256	valid
26.0ms	16×	body	4096	valid

preprocess49.0ms (0.3%)

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 30 to 22 computations (26.7% 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))))

eval1.0ms (0%)

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

prune1.0ms (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

31.7b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.7b	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize21.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps b))
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
	0.0b	(expm1.f64 (*.f64 eps a))
	0.0b	(*.f64 eps (+.f64 a b))
✓	0.0b	(expm1.f64 (*.f64 eps b))
✓	0.1b	(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps b)))
✓	13.9b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))
✓	28.8b	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))

Compiler

Compiled 79 to 13 computations (83.5% saved)

series48.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
9.0ms	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))))
4.0ms	eps	@	-inf	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
3.0ms	a	@	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	@	-inf	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))

rewrite99.0ms (0.6%)

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	76
1	300	76
2	4270	76

Stop Event

1×	node limit

Counts

4 → 124

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 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 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 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 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 -.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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simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

952×	`times-frac_binary64`
605×	`cancel-sign-sub-inv_binary64`
272×	`fma-def_binary64`
239×	`sub-neg_binary64`
234×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	5944
1	1142	5829
2	4147	5697

Stop Event

1×	node limit

Counts

256 → 214

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

eval209.0ms (1.2%)

Compiler: Compiled 9178 to 3534 computations (61.5% saved)

prune41.0ms (0.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	201	13	214
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	202	13	215

Error

0.0b

Counts

215 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	30.5b	(/.f64 1 (/.f64 (expm1.f64 (.f64 eps b)) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))))
▶	46.5b	(.f64 eps (/.f64 1 (expm1.f64 (.f64 eps b))))
	56.4b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
	37.6b	(.f64 eps (/.f64 (/.f64 (+.f64 a b) a) (expm1.f64 (.f64 eps b))))
	33.5b	(/.f64 1 a)
	51.0b	(/.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))))
▶	9.1b	(/.f64 (/.f64 (+.f64 a b) a) b)
▶	39.6b	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (.f64 eps b)))
▶	16.3b	(/.f64 (+.f64 a b) (*.f64 a b))
	37.1b	(.f64 eps (/.f64 (+.f64 a b) (.f64 a (*.f64 b eps))))
	39.7b	(.f64 eps (/.f64 (+.f64 a b) (.f64 eps (*.f64 a b))))
▶	33.3b	(/.f64 1 b)
	48.0b	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 374 to 238 computations (36.4% saved)

localize109.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.0b	(/.f64 (/.f64 (+.f64 a b) a) b)
	0.0b	(/.f64 (+.f64 a b) a)
✓	0.0b	(/.f64 (+.f64 a b) a)
✓	5.0b	(/.f64 (/.f64 (+.f64 a b) a) b)

Compiler

Compiled 20 to 6 computations (70% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`pow1_binary64`
895×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	143	17
2	2344	17

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

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

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

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

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 → 79

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize38.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	15.4b	(/.f64 (+.f64 a b) (*.f64 a b))
✓	15.4b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (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	2139	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 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 expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) (*.f64 a b))))))))

simplify9.0ms (0.1%)

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))

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	18.9b	(.f64 eps (/.f64 1 (expm1.f64 (.f64 eps b))))
	0.2b	(/.f64 1 (expm1.f64 (*.f64 eps b)))
	0.0b	(expm1.f64 (*.f64 eps b))
	0.0b	(expm1.f64 (*.f64 eps b))
✓	0.2b	(/.f64 1 (expm1.f64 (*.f64 eps b)))
✓	18.9b	(.f64 eps (/.f64 1 (expm1.f64 (.f64 eps b))))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite145.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`pow1_binary64`
658×	`add-log-exp_binary64`
658×	`log1p-expm1-u_binary64`
658×	`expm1-log1p-u_binary64`
643×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	158	18
2	1873	18

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-def_binary64`
612×	`distribute-rgt-neg-in_binary64`
574×	`associate-l_binary64`
555×	`distribute-lft-neg-in_binary64`
469×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	514
1	316	494
2	1300	486
3	6394	482

Stop Event

1×	node limit

Counts

92 → 65

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (*.f64 eps b))
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
	0.0b	(expm1.f64 (*.f64 eps a))
	0.0b	(*.f64 eps (+.f64 a b))
✓	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.6b	(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (*.f64 eps b))
	13.9b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))
✓	28.4b	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (.f64 eps b)))

Compiler

Compiled 73 to 12 computations (83.6% saved)

series105.0ms (0.6%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
71.0ms	b	@	0	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (.f64 eps b)))
11.0ms	eps	@	-inf	(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (*.f64 eps b))
2.0ms	a	@	0	(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (*.f64 eps b))
1.0ms	a	@	0	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (.f64 eps b)))
1.0ms	eps	@	0	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (.f64 eps b)))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

907×	`prod-diff_binary64`
282×	`fma-def_binary64`
264×	`expm1-udef_binary64`
264×	`log1p-udef_binary64`
227×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	284	58
2	4253	58

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

871×	`times-frac_binary64`
430×	`distribute-rgt-in_binary64`
407×	`associate-/l*_binary64`
397×	`distribute-lft-in_binary64`
221×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	3689
1	828	3599
2	2900	3519

Stop Event

1×	node limit

Counts

212 → 187

Calls

Call 1

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

eval168.0ms (1%)

Compiler: Compiled 11210 to 3987 computations (64.4% saved)

prune135.0ms (0.8%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	456	10	466
Fresh	4	4	8
Picked	1	0	1
Done	1	3	4
Total	462	17	479

Error

Counts

479 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	38.8b	(/.f64 (/.f64 b a) b)
▶	49.4b	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 b (+.f64 (.f64 1/6 eps) (.f64 -1/4 eps))))) 1/2))
	30.5b	(/.f64 1 (/.f64 (expm1.f64 (.f64 eps b)) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))))
	45.8b	(/.f64 eps (expm1.f64 (*.f64 b eps)))
	19.4b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
	56.4b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
▶	33.5b	(/.f64 1 a)
▶	39.3b	(.f64 eps (/.f64 (/.f64 (.f64 (+.f64 a b) eps) (expm1.f64 (.f64 eps a))) (.f64 eps b)))
▶	48.0b	(.f64 eps (/.f64 1 (.f64 eps a)))
	9.1b	(/.f64 (pow.f64 (/.f64 a (+.f64 a b)) -1) b)
▶	3.8b	(+.f64 (/.f64 1 a) (/.f64 1 b))
	9.6b	(*.f64 (/.f64 1 a) (/.f64 (+.f64 a b) b))
	33.0b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
✓	33.3b	(/.f64 1 b)
✓	9.1b	(/.f64 (/.f64 (+.f64 a b) a) b)
✓	16.3b	(/.f64 (+.f64 a b) (*.f64 a b))
	35.7b	(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) b) (/.f64 (sqrt.f64 (+.f64 a b)) a))

Compiler

Compiled 412 to 281 computations (31.8% saved)

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite53.0ms (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	2306	10

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

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 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 1 b)
(/.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 1 b)
(/.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))

localize17.0ms (0.1%)

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

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	17.5b	(.f64 eps (/.f64 1 (.f64 eps a)))
	0.2b	(/.f64 1 (*.f64 eps a))
✓	0.2b	(/.f64 1 (*.f64 eps a))
✓	17.5b	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`pow1_binary64`
626×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
612×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	142	14
2	1778	14

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96
1	6	96

Stop Event

1×

saturated

Counts

75 → 52

Calls

Call 1

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

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

localize42.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(*.f64 1/6 eps)
	0.2b	(/.f64 1 (*.f64 eps b))
	0.1b	(.f64 b (+.f64 (.f64 1/6 eps) (*.f64 -1/4 eps)))
	0.0b	(+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 b (+.f64 (.f64 1/6 eps) (*.f64 -1/4 eps)))))
✓	0.2b	(/.f64 1 (*.f64 eps b))
✓	0.4b	(*.f64 1/6 eps)
✓	0.7b	(+.f64 (.f64 1/6 eps) (.f64 -1/4 eps))
✓	18.9b	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 b (+.f64 (.f64 1/6 eps) (.f64 -1/4 eps))))) 1/2))

Compiler

Compiled 108 to 72 computations (33.3% saved)

series41.0ms (0.2%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	eps	@	-inf	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 b (+.f64 (.f64 1/6 eps) (.f64 -1/4 eps))))) 1/2))
1.0ms	eps	@	0	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 b (+.f64 (.f64 1/6 eps) (.f64 -1/4 eps))))) 1/2))
1.0ms	b	@	0	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 b (+.f64 (.f64 1/6 eps) (.f64 -1/4 eps))))) 1/2))
1.0ms	eps	@	inf	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 b (+.f64 (.f64 1/6 eps) (.f64 -1/4 eps))))) 1/2))
1.0ms	b	@	inf	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 b (+.f64 (.f64 1/6 eps) (.f64 -1/4 eps))))) 1/2))

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

475×	`fma-neg_binary64`
325×	`expm1-udef_binary64`
325×	`log1p-udef_binary64`
254×	`log-pow_binary64`
202×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	404	37
2	5704	35

Stop Event

1×	node limit

Counts

4 → 111

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (/.f64 1 eps) b) eps) (.f64 (fma.f64 b (.f64 eps -1/12) -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (/.f64 (/.f64 1 eps) b) (.f64 b (.f64 eps -1/12))) eps) (.f64 -1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (/.f64 (/.f64 1 eps) b)) (.f64 eps (fma.f64 b (.f64 eps -1/12) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (+.f64 (/.f64 (/.f64 1 eps) b) (.f64 b (.f64 eps -1/12)))) (.f64 eps -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (/.f64 1 eps) b) (.f64 b (.f64 eps -1/12))) 3) -1/8) eps) (+.f64 (+.f64 (+.f64 (pow.f64 (.f64 eps b) -2) (pow.f64 (.f64 b (.f64 eps -1/12)) 2)) 1/4) (.f64 (+.f64 (/.f64 (/.f64 1 eps) b) (.f64 b (.f64 eps -1/12))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (+.f64 (pow.f64 (.f64 eps b) -2) (pow.f64 (.f64 b (.f64 eps -1/12)) 2)) -1/4) eps) (+.f64 (.f64 b (.f64 eps -1/12)) (+.f64 (/.f64 (/.f64 1 eps) b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (+.f64 (pow.f64 (+.f64 (/.f64 (/.f64 1 eps) b) (.f64 b (.f64 eps -1/12))) 3) -1/8)) (+.f64 (+.f64 (+.f64 (pow.f64 (.f64 eps b) -2) (pow.f64 (.f64 b (.f64 eps -1/12)) 2)) 1/4) (.f64 (+.f64 (/.f64 (/.f64 1 eps) b) (.f64 b (.f64 eps -1/12))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (+.f64 (+.f64 (pow.f64 (.f64 eps b) -2) (pow.f64 (.f64 b (.f64 eps -1/12)) 2)) -1/4)) (+.f64 (.f64 b (.f64 eps -1/12)) (+.f64 (/.f64 (/.f64 1 eps) b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2)) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 eps (+.f64 (/.f64 (/.f64 1 eps) b) (fma.f64 b (.f64 eps -1/12) -1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps -1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/36 (.f64 eps eps)) (.f64 eps 5/12)) (/.f64 (.f64 (.f64 eps eps) 1/16) (.f64 eps 5/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps -1/12)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 eps -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps -1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 eps -1/12)) (pow.f64 (cbrt.f64 (.f64 eps -1/12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 eps -1/12)) 2) (cbrt.f64 (.f64 eps -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 eps) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 eps -1/12)) (sqrt.f64 (.f64 eps -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/216 (pow.f64 eps 3)) (.f64 (pow.f64 eps 3) -1/64)) (/.f64 1 (+.f64 (.f64 1/36 (.f64 eps eps)) (.f64 (.f64 eps -1/4) (-.f64 (.f64 eps -1/4) (.f64 eps 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 eps -1/12) (.f64 eps 5/12)) (/.f64 1 (.f64 eps 5/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/12 eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 1/36 (.f64 eps eps)) (.f64 (.f64 eps -1/4) (-.f64 (.f64 eps -1/4) (.f64 eps 1/6)))) (+.f64 (.f64 1/216 (pow.f64 eps 3)) (.f64 (pow.f64 eps 3) -1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 eps 5/12) (.f64 (.f64 eps -1/12) (.f64 eps 5/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/216 (pow.f64 eps 3)) (.f64 (pow.f64 eps 3) -1/64)) (+.f64 (.f64 1/36 (.f64 eps eps)) (.f64 (.f64 eps -1/4) (-.f64 (.f64 eps -1/4) (.f64 eps 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/216 (pow.f64 eps 3)) (.f64 (pow.f64 eps 3) -1/64)) (+.f64 (.f64 (.f64 eps eps) 1/16) (-.f64 (.f64 1/36 (.f64 eps eps)) (.f64 eps (.f64 1/6 (.f64 eps -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 eps -1/12) (.f64 eps 5/12)) (.f64 eps 5/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 1/216 (pow.f64 eps 3)) (.f64 (pow.f64 eps 3) -1/64))) (neg.f64 (+.f64 (.f64 1/36 (.f64 eps eps)) (.f64 (.f64 eps -1/4) (-.f64 (.f64 eps -1/4) (.f64 eps 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (.f64 eps -1/12) (.f64 eps 5/12))) (neg.f64 (.f64 eps 5/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 eps eps) 1/16) (.f64 1/36 (.f64 eps eps))) (-.f64 (.f64 eps -1/4) (.f64 eps 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps -1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps -1/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps -1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 eps -1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 eps eps) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps 1/6))) (pow.f64 (exp.f64 eps) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 1/6) eps) (+.f64 1 (expm1.f64 (.f64 eps -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps 1/6))) (+.f64 1 (expm1.f64 (.f64 eps -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps -1/4))) (pow.f64 (exp.f64 1/6) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 eps) -1/4) (+.f64 1 (expm1.f64 (.f64 eps 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps -1/4))) (+.f64 1 (expm1.f64 (.f64 eps 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps -1/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 eps -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 eps -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 eps -1/12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps 1/6 (.f64 eps -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps -1/4 (.f64 eps 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 eps 1/6) (.f64 eps -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 eps -1/4) (.f64 eps 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 eps (.f64 eps -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 eps (.f64 eps 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 eps 1/6)) 2) (cbrt.f64 (.f64 eps 1/6)) (.f64 eps -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 eps eps) 1/16)) (cbrt.f64 (.f64 eps -1/4)) (.f64 eps 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 eps 1/6)) (sqrt.f64 (.f64 eps 1/6)) (.f64 eps -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 eps -1/4)) (sqrt.f64 (.f64 eps -1/4)) (.f64 eps 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 eps -1/12)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 eps 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/216 (pow.f64 eps 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/36 (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/216 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 eps 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 eps 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 eps 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 eps 1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 eps) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 1 eps) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 eps) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 b (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 1 eps) b)) (cbrt.f64 (pow.f64 (.f64 eps b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 eps b) -2)) (cbrt.f64 (/.f64 (/.f64 1 eps) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 eps b) -1/2) (pow.f64 (.f64 eps b) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 eps) (pow.f64 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 eps) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b -1) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 eps b) 2)) -1) (pow.f64 (cbrt.f64 (.f64 eps b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 eps b)) -1) (pow.f64 (sqrt.f64 (.f64 eps b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 eps) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1 eps) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps b) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps b) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 eps) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 eps) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps b) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 eps) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 eps b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (.f64 eps b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 eps) b)))))))

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-neg_binary64`
531×	`cancel-sign-sub-inv_binary64`
513×	`distribute-rgt-neg-in_binary64`
446×	`distribute-lft-neg-in_binary64`
400×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	408
1	75	384
2	218	380
3	733	336
4	2653	336
5	5046	336
6	6427	336

Stop Event

1×	node limit

Counts

147 → 123

Calls

Call 1

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

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

localize65.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	13.2b	(/.f64 (.f64 (+.f64 a b) eps) (expm1.f64 (.f64 eps a)))
	1.3b	(/.f64 (/.f64 (.f64 (+.f64 a b) eps) (expm1.f64 (.f64 eps a))) (*.f64 eps b))
	0.0b	(expm1.f64 (*.f64 eps a))
	0.0b	(*.f64 (+.f64 a b) eps)
✓	0.0b	(expm1.f64 (*.f64 eps a))
✓	1.3b	(/.f64 (/.f64 (.f64 (+.f64 a b) eps) (expm1.f64 (.f64 eps a))) (*.f64 eps b))
✓	13.2b	(/.f64 (.f64 (+.f64 a b) eps) (expm1.f64 (.f64 eps a)))
✓	28.6b	(.f64 eps (/.f64 (/.f64 (.f64 (+.f64 a b) eps) (expm1.f64 (.f64 eps a))) (.f64 eps b)))

Compiler

Compiled 64 to 11 computations (82.8% saved)

series26.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

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

rewrite200.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`log-prod_binary64`
509×	`prod-diff_binary64`
260×	`log-div_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	266	66
2	4182	66

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

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

simplify189.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

791×	`distribute-rgt-in_binary64`
774×	`distribute-lft-in_binary64`
258×	`fma-def_binary64`
208×	`distribute-rgt-neg-in_binary64`
204×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	3089
1	694	3022
2	2895	2637

Stop Event

1×	node limit

Counts

291 → 237

Calls

Call 1

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

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

eval328.0ms (1.9%)

Compiler: Compiled 9629 to 4410 computations (54.2% saved)

prune240.0ms (1.4%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	453	7	460
Fresh	4	5	9
Picked	1	0	1
Done	2	5	7
Total	460	17	477

Error

Counts

477 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	45.8b	(/.f64 eps (expm1.f64 (*.f64 b eps)))
	56.4b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
▶	10.2b	(+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) b)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
✓	33.5b	(/.f64 1 a)
▶	9.6b	(/.f64 (/.f64 (+.f64 a b) b) a)
▶	34.9b	(/.f64 (/.f64 eps a) eps)
▶	34.2b	(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (/.f64 (/.f64 1 a) eps) -1/2)))
	49.4b	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 b (*.f64 -1/12 eps)))) 1/2))
✓	48.0b	(.f64 eps (/.f64 1 (.f64 eps a)))
	9.1b	(/.f64 (pow.f64 (/.f64 a (+.f64 a b)) -1) b)
▶	3.4b	(+.f64 (/.f64 1 a) (-.f64 (/.f64 1 b) (*.f64 eps 1/2)))
✓	3.8b	(+.f64 (/.f64 1 a) (/.f64 1 b))
	33.0b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
	50.0b	(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
✓	33.3b	(/.f64 1 b)
✓	16.3b	(/.f64 (+.f64 a b) (*.f64 a b))
	35.7b	(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) b) (/.f64 (sqrt.f64 (+.f64 a b)) a))

Compiler

Compiled 380 to 267 computations (29.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 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))
✓	0.0b	(-.f64 (/.f64 1 b) (*.f64 eps 1/2))
✓	0.0b	(+.f64 (/.f64 1 a) (-.f64 (/.f64 1 b) (*.f64 eps 1/2)))

Compiler

Compiled 35 to 24 computations (31.4% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 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	eps	@	inf	(+.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	b	@	inf	(+.f64 (/.f64 1 a) (-.f64 (/.f64 1 b) (*.f64 eps 1/2)))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
473×	`fma-def_binary64`
321×	`pow2_binary64`
233×	`fma-neg_binary64`
219×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	248	26
2	3568	22

Stop Event

1×	node limit

Counts

2 → 187

Calls

Call 1

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

Outputs

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simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

205×	`fma-def_binary64`
164×	`fma-neg_binary64`
77×	`cancel-sign-sub-inv_binary64`
38×	`associate--r+_binary64`
38×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	608
1	39	604
2	54	604
3	82	604
4	121	604
5	185	604
6	333	604
7	486	604
8	602	604
9	761	604
10	847	604
11	851	604

Stop Event

1×

saturated

Counts

247 → 201

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	10.9b	(/.f64 (/.f64 eps a) eps)
✓	10.9b	(/.f64 (/.f64 eps a) eps)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite147.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`pow1_binary64`
637×	`add-log-exp_binary64`
637×	`log1p-expm1-u_binary64`
637×	`expm1-log1p-u_binary64`
622×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1665	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96
1	6	96

Stop Event

1×

saturated

Counts

62 → 39

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.4b	(/.f64 (/.f64 (+.f64 a b) b) a)
	0.0b	(/.f64 (+.f64 a b) b)
✓	0.0b	(/.f64 (+.f64 a b) b)
✓	5.4b	(/.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	a	@	0	(/.f64 (/.f64 (+.f64 a b) b) a)
0.0ms	b	@	-inf	(/.f64 (+.f64 a b) b)
0.0ms	a	@	0	(/.f64 (+.f64 a b) b)
0.0ms	b	@	0	(/.f64 (+.f64 a b) b)
0.0ms	a	@	-inf	(/.f64 (+.f64 a b) b)

rewrite72.0ms (0.4%)

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	2305	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 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 expm1.f64 (log1p.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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) b)))))))

simplify42.0ms (0.2%)

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))

localize24.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	28.8b	(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (/.f64 (/.f64 1 a) eps) -1/2)))
	4.1b	(+.f64 (/.f64 1 (*.f64 b eps)) (+.f64 (/.f64 (/.f64 1 a) eps) -1/2))
	0.2b	(/.f64 1 (*.f64 b eps))
	0.2b	(/.f64 (/.f64 1 a) eps)
✓	0.2b	(/.f64 (/.f64 1 a) eps)
✓	0.2b	(/.f64 1 (*.f64 b eps))
✓	4.1b	(+.f64 (/.f64 1 (*.f64 b eps)) (+.f64 (/.f64 (/.f64 1 a) eps) -1/2))
✓	28.8b	(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (/.f64 (/.f64 1 a) eps) -1/2)))

Compiler

Compiled 59 to 35 computations (40.7% saved)

series36.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
22.0ms	b	@	-inf	(+.f64 (/.f64 1 (*.f64 b eps)) (+.f64 (/.f64 (/.f64 1 a) eps) -1/2))
3.0ms	eps	@	inf	(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (/.f64 (/.f64 1 a) eps) -1/2)))
1.0ms	eps	@	-inf	(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (/.f64 (/.f64 1 a) eps) -1/2)))
1.0ms	b	@	0	(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (/.f64 (/.f64 1 a) eps) -1/2)))
1.0ms	eps	@	0	(.f64 eps (+.f64 (/.f64 1 (.f64 b eps)) (+.f64 (/.f64 (/.f64 1 a) eps) -1/2)))

rewrite220.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`log-prod_binary64`
495×	`fma-def_binary64`
265×	`expm1-udef_binary64`
265×	`log1p-udef_binary64`
259×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	300	55
2	4588	53

Stop Event

1×	node limit

Counts

4 → 213

Calls

Call 1

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

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

simplify184.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

722×	`div-sub_binary64`
624×	`fma-def_binary64`
434×	`distribute-rgt-neg-in_binary64`
362×	`distribute-rgt-neg-out_binary64`
353×	`fma-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	30	1374
1	56	1374
2	83	1374
3	126	1354
4	186	1354
5	506	1273
6	1807	1273
7	3110	1273
8	4881	1273
9	7030	1273
10	7982	1273

Stop Event

1×	node limit

Counts

333 → 241

Calls

Call 1

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

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

localize24.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	7.1b	(/.f64 (*.f64 eps (+.f64 a b)) b)
	0.0b	(+.f64 (/.f64 1 a) (/.f64 1 b))
	0.0b	(+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) b)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
	0.0b	(*.f64 eps (+.f64 a b))
✓	0.0b	(*.f64 eps (+.f64 a b))
✓	0.0b	(+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) b)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
	0.0b	(+.f64 (/.f64 1 a) (/.f64 1 b))
✓	7.1b	(/.f64 (*.f64 eps (+.f64 a b)) b)

Compiler

Compiled 62 to 27 computations (56.5% saved)

series14.0ms (0.1%)

Counts

3 → 84

Calls

27 calls:

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

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`fma-def_binary64`
406×	`fma-neg_binary64`
293×	`expm1-udef_binary64`
293×	`log1p-udef_binary64`
242×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	332	40
2	5352	40

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

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

Outputs

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

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

814×	`fma-neg_binary64`
661×	`fma-def_binary64`
503×	`div-sub_binary64`
362×	`associate-/l*_binary64`
325×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	39	1045
1	100	1043
2	216	1001
3	456	1001
4	895	1001
5	2478	949
6	5005	949
7	7096	949

Stop Event

1×	node limit

Counts

279 → 222

Calls

Call 1

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

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

eval521.0ms (3.1%)

Compiler: Compiled 16605 to 9562 computations (42.4% saved)

prune211.0ms (1.2%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	820	9	829
Fresh	2	5	7
Picked	1	0	1
Done	3	6	9
Total	826	20	846

Error

Counts

846 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	45.8b	(/.f64 eps (expm1.f64 (*.f64 b eps)))
	56.4b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
	34.2b	(*.f64 eps (+.f64 -1/2 (/.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) eps)))
✓	33.5b	(/.f64 1 a)
	35.7b	(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) a) (/.f64 (sqrt.f64 (+.f64 a b)) b))
	9.6b	(/.f64 (+.f64 1 (/.f64 a b)) a)
✓	9.6b	(/.f64 (/.f64 (+.f64 a b) b) a)
	9.6b	(/.f64 (pow.f64 (/.f64 b (+.f64 a b)) -1) a)
✓	34.9b	(/.f64 (/.f64 eps a) eps)
	3.4b	(+.f64 (.f64 -1/2 (/.f64 (.f64 eps b) b)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
✓	33.3b	(/.f64 1 b)
	61.8b	(.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) b))
✓	16.3b	(/.f64 (+.f64 a b) (*.f64 a b))
	10.2b	(+.f64 (.f64 -1/2 (.f64 (/.f64 1 b) (*.f64 eps (+.f64 a b)))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
	61.9b	(*.f64 eps -1/2)
✓	3.8b	(+.f64 (/.f64 1 a) (/.f64 1 b))
	49.4b	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (.f64 -1 (.f64 b (*.f64 -1/12 eps)))) 1/2))
	33.0b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
	50.0b	(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
	33.1b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))

Compiler

Compiled 243 to 173 computations (28.8% saved)

regimes92.0ms (0.5%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	a
12.0ms	b
12.0ms	eps

Results

Error	Segments	Branch
3.4b	1	`a`
3.4b	1	`b`
3.4b	1	`eps`

Compiler

Compiled 198 to 117 computations (40.9% saved)

regimes28.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	b
8.0ms	eps
8.0ms	a

Results

Error	Segments	Branch
3.8b	1	`a`
3.8b	1	`b`
3.8b	1	`eps`

Compiler

Compiled 102 to 63 computations (38.2% saved)

regimes118.0ms (0.7%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	eps
28.0ms	a
23.0ms	b

Results

Error	Segments	Branch
11.9b	6	`a`
9.9b	4	`b`
23.5b	6	`eps`

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch858.0ms (5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
264.0ms	2.799648529661814e-146	5.805485282516934e-144
289.0ms	1.389625510999873e-223	3.678708211623921e-222
305.0ms	4.783125571545917e-235	4.538333994235285e-230

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes119.0ms (0.7%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	eps
50.0ms	a
16.0ms	b

Results

Error	Segments	Branch
12.0b	6	`a`
10.1b	4	`b`
23.7b	6	`eps`

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch745.0ms (4.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
216.0ms	2.799648529661814e-146	5.805485282516934e-144
257.0ms	1.389625510999873e-223	3.678708211623921e-222
272.0ms	4.783125571545917e-235	4.538333994235285e-230

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes63.0ms (0.4%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	eps
21.0ms	a
15.0ms	b

Results

Error	Segments	Branch
12.1b	6	`a`
10.3b	4	`b`
23.7b	6	`eps`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch785.0ms (4.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
297.0ms	2.799648529661814e-146	5.805485282516934e-144
241.0ms	1.389625510999873e-223	3.678708211623921e-222
247.0ms	4.783125571545917e-235	4.538333994235285e-230

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes13.0ms (0.1%)

Accuracy

Total -29.1b remaining (-87.3%)

Threshold costs -29.1b (-87.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1 b)

Calls

3 calls:

5.0ms	b
3.0ms	eps
3.0ms	a

Results

Error	Segments	Branch
33.3b	1	`a`
33.3b	1	`b`
33.3b	1	`eps`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	166
1	41	166

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 -1/2 (/.f64 (.f64 eps b) b)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(if (<=.f64 b 13698347367350416/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) (if (<=.f64 b 926604296364519552/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 1 a) (if (<=.f64 b 1612208305915918336/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))))
(if (<=.f64 b 13698347367350416/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (/.f64 1 b) (if (<=.f64 b 926604296364519552/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 1 a) (if (<=.f64 b 1612208305915918336/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 1 b) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))))
(if (<=.f64 b 13698347367350416/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (/.f64 1 b) (if (<=.f64 b 926604296364519552/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 1 a) (if (<=.f64 b 1612208305915918336/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 1 b) (/.f64 1 a))))
(/.f64 1 b)
(*.f64 eps -1/2)

Outputs
(+.f64 (.f64 -1/2 (/.f64 (.f64 eps b) b)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(if (<=.f64 b 13698347367350416/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) (if (<=.f64 b 926604296364519552/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 1 a) (if (<=.f64 b 1612208305915918336/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))))
(if (<=.f64 b 856146710459401/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456) (+.f64 (/.f64 1 b) (.f64 -1/2 eps)) (if (<=.f64 b 7239096065347809/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792) (/.f64 1 a) (if (<=.f64 b 787211086873007/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) (+.f64 (/.f64 1 b) (.f64 -1/2 eps)) (+.f64 (/.f64 1 a) (*.f64 -1/2 eps)))))
(if (<=.f64 b 13698347367350416/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (/.f64 1 b) (if (<=.f64 b 926604296364519552/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 1 a) (if (<=.f64 b 1612208305915918336/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 1 b) (+.f64 (*.f64 -1/2 eps) (/.f64 1 a)))))
(if (<=.f64 b 856146710459401/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456) (/.f64 1 b) (if (<=.f64 b 7239096065347809/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792) (/.f64 1 a) (if (<=.f64 b 787211086873007/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 -1/2 eps)))))
(if (<=.f64 b 13698347367350416/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (/.f64 1 b) (if (<=.f64 b 926604296364519552/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 1 a) (if (<=.f64 b 1612208305915918336/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b 856146710459401/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456) (/.f64 1 b) (if (<=.f64 b 7239096065347809/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792) (/.f64 1 a) (if (<=.f64 b 787211086873007/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) (/.f64 1 b) (/.f64 1 a))))
(/.f64 1 b)
(*.f64 eps -1/2)
(*.f64 -1/2 eps)

end110.0ms (0.6%)

Stop Event

1×

fuel

Remove

(sort a b)

Compiler

Compiled 292 to 214 computations (26.7% saved)

Iter	Nodes	Cost
0	19	608
1	39	604
2	54	604
3	82	604
4	121	604
5	185	604
6	333	604
7	486	604
8	602	604
9	761	604
10	847	604
11	851	604

Iter	Nodes	Cost
0	19	608
1	39	604
2	54	604
3	82	604
4	121	604
5	185	604
6	333	604
7	486	604
8	602	604
9	761	604
10	847	604
11	851	604

Iter	Nodes	Cost
0	19	608
1	39	604
2	54	604
3	82	604
4	121	604
5	185	604
6	333	604
7	486	604
8	602	604
9	761	604
10	847	604
11	851	604