Details

analyze562.0ms (2.8%)

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)

sample8.9s (44.5%)

Results

5.3s	4217×	body	2048	valid
2.1s	2510×	body	1024	valid
581.0ms	740×	body	512	valid
289.0ms	414×	body	1024	invalid
214.0ms	276×	body	2048	invalid
183.0ms	699×	body	256	invalid
146.0ms	778×	body	256	valid
81.0ms	252×	body	512	invalid
22.0ms	11×	body	4096	valid

preprocess46.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	112
1	146	112
2	314	112
3	787	112
4	3423	112
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify28.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

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

39.7b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.1b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	16.8b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	26.9b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 77 to 13 computations (83.1% saved)

series46.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
4.0ms	a	@	0	(expm1.f64 (*.f64 eps (+.f64 a b)))
4.0ms	eps	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
3.0ms	a	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	eps	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

rewrite243.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))) (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) 1) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 2)) (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) eps) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) eps) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 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 log1p.f64 (expm1.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps 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simplify290.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

264 → 228

Calls

Call 1

Inputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
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(-.f64 (+.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) 1/2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) 1/2))))) eps)))))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) 1/2))))) a) (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))))) 1/2)
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 1 (*.f64 eps b))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (*.f64 eps b))) 1/2)
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (+.f64 (/.f64 1 (.f64 eps b)) (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (*.f64 eps a)) 1)) 1/2))))) b))) 1/2)
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) (+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) 1/2))))) b) (.f64 (pow.f64 b 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) 1/2))) (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (exp.f64 (.f64 eps a)) (-.f64 (exp.f64 (.f64 eps a)) 1)) 1/2)))))))))))))) 1/2)
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(.f64 (pow.f64 eps 2) (.f64 a b))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2)))))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2)))))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 (pow.f64 eps 5) (+.f64 (.f64 1/12 (.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (.f64 1/24 (.f64 a (pow.f64 b 4))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) b)) (.f64 1/12 (*.f64 (pow.f64 a 3) (pow.f64 b 2))))))))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 4) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (-.f64 (exp.f64 (.f64 eps b)) 1)))) (.f64 eps (.f64 a (-.f64 (exp.f64 (*.f64 eps b)) 1))))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b)))
(+.f64 (.f64 1/6 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))))
(+.f64 (.f64 1/6 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 2) (pow.f64 b 2)))) (+.f64 (.f64 1/24 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 (pow.f64 eps 4) (pow.f64 b 4)))) (.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b)))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(*.f64 eps (+.f64 a b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 (+.f64 a b) 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 (+.f64 a b) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 (+.f64 a b) 2))) (*.f64 eps (+.f64 a b)))))
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (exp.f64 (.f64 eps b))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b)))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 3) (exp.f64 (.f64 eps b))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 eps b))))) (exp.f64 (.f64 eps b))))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (exp.f64 (.f64 eps a))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a)))) 1)
(-.f64 (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 b 3) (exp.f64 (.f64 eps a))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 eps a))))) (exp.f64 (.f64 eps a))))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (*.f64 eps (+.f64 a b))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)
(-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 -1 b)))) 1)

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

eval258.0ms (1.3%)

Compiler: Compiled 9532 to 3558 computations (62.7% saved)

prune184.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	216	12	228
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	217	12	229

Error

0.0b

Counts

229 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	41.7b	(/.f64 1 (/.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))) (.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))))
▶	52.2b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	8.9b	(/.f64 (/.f64 (+.f64 a b) a) b)
	49.0b	(.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	54.1b	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
▶	17.9b	(/.f64 (+.f64 a b) (*.f64 a b))
▶	55.9b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
	53.4b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	33.3b	(/.f64 1 a)
	59.5b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))
	58.5b	(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
	33.5b	(/.f64 1 b)

Compiler

Compiled 392 to 258 computations (34.2% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) a)
✓	4.6b	(/.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	@	0	(/.f64 (/.f64 (+.f64 a b) a) b)
1.0ms	a	@	inf	(/.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)

rewrite76.0ms (0.4%)

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	2354	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 expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 a b) (.f64 a b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a b) 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 expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) a)))))) (#(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)))))))

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

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

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))

localize3.0ms (0%)

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

localize37.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	17.7b	(/.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))

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify35.0ms (0.2%)

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))

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps)))))
✓	0.0b	(exp.f64 (neg.f64 (*.f64 b eps)))
✓	2.4b	(-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps))))

Compiler

Compiled 72 to 32 computations (55.6% saved)

series10.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
864×	`add-log-exp_binary64`
864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	190	27
2	2556	27

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

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

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

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

simplify186.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-def_binary64`
619×	`associate-l_binary64`
535×	`distribute-rgt-neg-in_binary64`
533×	`associate-r_binary64`
484×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	960
1	274	946
2	1051	928
3	5316	892

Stop Event

1×	node limit

Counts

163 → 118

Calls

Call 1

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

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

localize63.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (*.f64 eps a))
	0.1b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	15.9b	(/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	26.7b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 69 to 12 computations (82.6% saved)

series23.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite140.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`log-prod_binary64`
509×	`prod-diff_binary64`
260×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`
254×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	279	55
2	4169	55

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify277.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

670×	`associate-*l/_binary64`
654×	`associate-/r*_binary64`
280×	`fma-def_binary64`
271×	`associate-r_binary64`
207×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	4640
1	918	4332
2	4002	4010

Stop Event

1×	node limit

Counts

211 → 187

Calls

Call 1

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

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

eval502.0ms (2.5%)

Compiler: Compiled 12838 to 5460 computations (57.5% saved)

prune339.0ms (1.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	462	8	470
Fresh	5	2	7
Picked	1	0	1
Done	2	2	4
Total	470	12	482

Error

Counts

482 → 12

Alt Table

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Status	Error	Program
	41.7b	(/.f64 1 (/.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))) (.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))))
	38.2b	(/.f64 (/.f64 b a) b)
▶	22.9b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
	9.2b	(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) a)) 3) b)
✓	17.9b	(/.f64 (+.f64 a b) (*.f64 a b))
✓	33.3b	(/.f64 1 a)
▶	48.8b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))))
	50.1b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 a (.f64 eps (expm1.f64 (*.f64 b eps))))))
	8.9b	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))
▶	4.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))
▶	3.8b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)))
▶	33.5b	(/.f64 1 b)

Compiler

Compiled 292 to 197 computations (32.5% saved)

localize29.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series22.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	244	22
2	3517	22

Stop Event

1×	node limit

Counts

2 → 147

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

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

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

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	604
1	28	604
2	33	604

Stop Event

1×

saturated

Counts

207 → 158

Calls

Call 1

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

localize6.0ms (0%)

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

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series3.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	114
1	10	114

Stop Event

1×

saturated

Counts

59 → 48

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.7b	(-.f64 (+.f64 1 (/.f64 (+.f64 a b) (*.f64 a b))) 1)
	17.7b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite140.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`fma-def_binary64`
493×	`log-prod_binary64`
333×	`pow-prod-down_binary64`
266×	`fma-neg_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	211	10
2	3356	10

Stop Event

1×	node limit

Counts

1 → 128

Calls

Call 1

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

Outputs

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

simplify17.0ms (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

152 → 132

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))

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
✓	4.5b	(.f64 b (expm1.f64 (.f64 a eps)))
✓	15.9b	(/.f64 (.f64 (+.f64 a b) eps) (.f64 eps (.f64 b (expm1.f64 (.f64 a eps)))))
✓	26.9b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))))

Compiler

Compiled 65 to 11 computations (83.1% saved)

series69.0ms (0.3%)

Counts

4 → 144

Calls

36 calls:

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

rewrite167.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`log-prod_binary64`
509×	`prod-diff_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`
245×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	263	66
2	4104	66

Stop Event

1×	node limit

Counts

4 → 131

Calls

Call 1

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

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

simplify236.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

503×	`associate-+l+_binary64`
446×	`distribute-rgt-in_binary64`
436×	`distribute-lft-in_binary64`
414×	`associate-+r+_binary64`
210×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	2915
1	575	2873
2	2263	2754
3	7648	2754

Stop Event

1×	node limit

Counts

275 → 199

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

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 (*.f64 (+.f64 a b) eps) 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 (.f64 (+.f64 a b) eps) 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 (.f64 (/.f64 a b) (+.f64 a b)) (.f64 -1/12 (*.f64 eps eps))))
(+.f64 (/.f64 1 b) (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 (/.f64 (+.f64 a b) b) a) 1/12))) (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 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/2 (.f64 a (+.f64 (.f64 1/6 (/.f64 (.f64 a (+.f64 a b)) b)) (.f64 -1/4 (/.f64 (.f64 a (+.f64 a b)) b))))) (+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 a 2) (+.f64 a b)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a 2) (+.f64 a b)) b)))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(fma.f64 -1 (.f64 (.f64 eps eps) (.f64 (/.f64 a (/.f64 b (+.f64 a b))) -1/12)) (fma.f64 -1/2 (/.f64 (.f64 (+.f64 a b) eps) b) (fma.f64 -1 (.f64 (pow.f64 eps 3) (fma.f64 -1/2 (.f64 a (.f64 (/.f64 a (/.f64 b (+.f64 a b))) -1/12)) (.f64 (/.f64 (.f64 (+.f64 a b) (.f64 a 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 (.f64 (/.f64 a b) (+.f64 a b)) (.f64 -1/12 (*.f64 eps eps))))
(+.f64 (.f64 eps (.f64 eps (.f64 (.f64 (/.f64 (+.f64 a b) b) a) 1/12))) (+.f64 (fma.f64 -1/2 (.f64 eps (/.f64 (+.f64 a b) b)) (/.f64 1 a)) (-.f64 (/.f64 1 b) (.f64 (pow.f64 eps 3) (fma.f64 -1/2 (/.f64 (.f64 -1/12 a) (/.f64 b (.f64 a (+.f64 a b)))) (/.f64 (.f64 a -1/24) (/.f64 b (.f64 a (+.f64 a b)))))))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
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(fma.f64 1/2 (.f64 b (.f64 (pow.f64 eps 3) (.f64 a a))) (.f64 a (.f64 b (.f64 eps eps))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 (.f64 (pow.f64 eps 3) 1/2) (.f64 a a))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 3) b))) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 2) b)))))
(fma.f64 (.f64 eps eps) (.f64 a b) (fma.f64 1/6 (.f64 (.f64 b (pow.f64 a 3)) (pow.f64 eps 4)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a))))))
(fma.f64 (.f64 a b) (.f64 eps eps) (fma.f64 1/2 (.f64 b (.f64 (pow.f64 eps 3) (.f64 a a))) (.f64 (.f64 (pow.f64 a 3) (pow.f64 eps 4)) (.f64 b 1/6))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 b (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 eps 4))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 5) (.f64 (pow.f64 a 4) b))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 3) b))) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))))
(fma.f64 (.f64 eps eps) (.f64 a b) (fma.f64 1/24 (.f64 (.f64 b (pow.f64 a 4)) (pow.f64 eps 5)) (fma.f64 1/6 (.f64 (.f64 b (pow.f64 a 3)) (pow.f64 eps 4)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))))
(fma.f64 (.f64 a b) (.f64 eps eps) (fma.f64 1/24 (.f64 b (.f64 (pow.f64 a 4) (pow.f64 eps 5))) (fma.f64 1/2 (.f64 b (.f64 (pow.f64 eps 3) (.f64 a a))) (.f64 (.f64 (pow.f64 a 3) (pow.f64 eps 4)) (.f64 b 1/6)))))
(fma.f64 (.f64 a b) (.f64 eps eps) (fma.f64 1/24 (.f64 b (.f64 (pow.f64 a 4) (pow.f64 eps 5))) (.f64 b (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 eps 4)))))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 eps (.f64 (-.f64 (exp.f64 (*.f64 eps a)) 1) b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (pow.f64 eps 2) (.f64 a b))
(.f64 (.f64 (*.f64 eps eps) a) b)
(.f64 a (.f64 b (*.f64 eps eps)))
(.f64 eps (.f64 b (*.f64 a eps)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))
(fma.f64 (.f64 eps eps) (.f64 a b) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))
(fma.f64 1/2 (.f64 b (.f64 (pow.f64 eps 3) (.f64 a a))) (.f64 a (.f64 b (.f64 eps eps))))
(.f64 b (+.f64 (.f64 a (.f64 eps eps)) (.f64 (.f64 (pow.f64 eps 3) 1/2) (.f64 a a))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 3) b))) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 2) b)))))
(fma.f64 (.f64 eps eps) (.f64 a b) (fma.f64 1/6 (.f64 (.f64 b (pow.f64 a 3)) (pow.f64 eps 4)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a))))))
(fma.f64 (.f64 a b) (.f64 eps eps) (fma.f64 1/2 (.f64 b (.f64 (pow.f64 eps 3) (.f64 a a))) (.f64 (.f64 (pow.f64 a 3) (pow.f64 eps 4)) (.f64 b 1/6))))
(fma.f64 (.f64 a b) (.f64 eps eps) (.f64 b (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 eps 4))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 a b)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 5) (.f64 (pow.f64 a 4) b))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 3) b))) (.f64 1/2 (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 a 2) b))))))
(fma.f64 (.f64 eps eps) (.f64 a b) (fma.f64 1/24 (.f64 (.f64 b (pow.f64 a 4)) (pow.f64 eps 5)) (fma.f64 1/6 (.f64 (.f64 b (pow.f64 a 3)) (pow.f64 eps 4)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))))))
(fma.f64 (.f64 a b) (.f64 eps eps) (fma.f64 1/24 (.f64 b (.f64 (pow.f64 a 4) (pow.f64 eps 5))) (fma.f64 1/2 (.f64 b (.f64 (pow.f64 eps 3) (.f64 a a))) (.f64 (.f64 (pow.f64 a 3) (pow.f64 eps 4)) (.f64 b 1/6)))))
(fma.f64 (.f64 a b) (.f64 eps eps) (fma.f64 1/24 (.f64 b (.f64 (pow.f64 a 4) (pow.f64 eps 5))) (.f64 b (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 eps 4)))))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))
(.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (*.f64 eps b))
(.f64 (expm1.f64 (.f64 a eps)) (*.f64 b eps))
(.f64 eps (.f64 b (expm1.f64 (*.f64 a eps))))

eval407.0ms (2%)

Compiler: Compiled 10885 to 4918 computations (54.8% saved)

prune168.0ms (0.8%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	569	10	579
Fresh	3	2	5
Picked	1	0	1
Done	2	4	6
Total	575	16	591

Error

Counts

591 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.2b	(-.f64 (+.f64 1 (/.f64 1 b)) 1)
✓	17.9b	(/.f64 (+.f64 a b) (*.f64 a b))
▶	33.2b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
▶	39.8b	(.f64 eps (-.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))
✓	33.3b	(/.f64 1 a)
	46.1b	(/.f64 eps (expm1.f64 (*.f64 a eps)))
	50.1b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 a (.f64 eps (expm1.f64 (*.f64 b eps))))))
	31.4b	(.f64 (+.f64 (/.f64 a b) 1) (/.f64 eps (expm1.f64 (.f64 a eps))))
✓	33.5b	(/.f64 1 b)
	39.9b	(.f64 eps (+.f64 (+.f64 -1/2 (/.f64 (/.f64 1 b) eps)) (-.f64 (/.f64 (/.f64 1 eps) a) (.f64 a (+.f64 (.f64 eps (+.f64 1/6 (+.f64 -1/4 (.f64 (/.f64 (/.f64 1 b) eps) 1/2)))) (.f64 a (+.f64 (.f64 eps (.f64 (.f64 eps (+.f64 1/6 (+.f64 -1/4 (.f64 (/.f64 (/.f64 1 b) eps) 1/2)))) -1/2)) (.f64 (.f64 eps eps) (+.f64 (+.f64 -1/12 (.f64 (/.f64 (/.f64 1 b) eps) 1/6)) 1/24)))))))))
	38.2b	(/.f64 (/.f64 b a) b)
✓	4.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))
	32.7b	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (/.f64 1 (*.f64 eps a))) 1/2))
	33.4b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
▶	8.3b	(/.f64 (/.f64 (+.f64 a b) b) a)
▶	62.1b	(*.f64 -1/2 eps)

Compiler

Compiled 478 to 344 computations (28% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) b)
✓	4.1b	(/.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 a b) b)
0.0ms	a	@	0	(/.f64 (/.f64 (+.f64 a b) b) a)
0.0ms	b	@	-inf	(/.f64 (+.f64 a b) b)
0.0ms	b	@	0	(/.f64 (+.f64 a b) b)
0.0ms	a	@	-inf	(/.f64 (+.f64 a b) b)

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	345
1	13	345

Stop Event

1×

saturated

Counts

119 → 78

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize21.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series5.0ms (0%)

Counts

1 → 6

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	-inf	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
1.0ms	eps	@	0	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
1.0ms	eps	@	inf	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
1.0ms	a	@	0	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
1.0ms	a	@	inf	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
777×	`add-log-exp_binary64`
777×	`log1p-expm1-u_binary64`
777×	`expm1-log1p-u_binary64`
761×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	170	8
2	2160	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

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	24
1	10	24

Stop Event

1×

saturated

Counts

41 → 37

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.0b	(-.f64 (+.f64 1 (/.f64 1 b)) 1)

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`pow1_binary64`
626×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
615×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	139	4
2	2008	4

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	6	48

Stop Event

1×

saturated

Counts

58 → 46

Calls

Call 1

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

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

localize94.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 1/6 eps)
✓	3.9b	(+.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))))
✓	16.1b	(.f64 eps (-.f64 (/.f64 1 (.f64 eps b)) 1/2))
✓	26.9b	(.f64 eps (-.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))

Compiler

Compiled 231 to 143 computations (38.1% saved)

series28.0ms (0.1%)

Counts

4 → 90

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(.f64 eps (-.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))
3.0ms	eps	@	-inf	(.f64 eps (-.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))
2.0ms	b	@	0	(.f64 eps (-.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))
2.0ms	b	@	-inf	(.f64 eps (-.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))
1.0ms	eps	@	0	(.f64 eps (-.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))

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

451×	`log1p-udef_binary64`
270×	`add-sqr-sqrt_binary64`
262×	`*-un-lft-identity_binary64`
262×	`pow1_binary64`
251×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	107
1	527	105
2	7925	105

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (.f64 eps b)) eps) (.f64 (+.f64 (.f64 a (fma.f64 eps 1/6 (.f64 eps (.f64 (+.f64 (/.f64 1 (.f64 eps b)) -1/2) 1/2)))) (-.f64 (/.f64 1 (.f64 eps a)) 1/2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 (neg.f64 a) (fma.f64 eps 1/6 (.f64 eps (.f64 (+.f64 (/.f64 1 (.f64 eps b)) -1/2) 1/2))) (/.f64 1 (.f64 eps a)))) eps) (.f64 -1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (/.f64 1 (.f64 eps b))) (.f64 eps (+.f64 (.f64 a (fma.f64 eps 1/6 (.f64 eps (.f64 (+.f64 (/.f64 1 (.f64 eps b)) -1/2) 1/2)))) (-.f64 (/.f64 1 (.f64 eps a)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (+.f64 (/.f64 1 (.f64 eps b)) (fma.f64 (neg.f64 a) (fma.f64 eps 1/6 (.f64 eps (.f64 (+.f64 (/.f64 1 (.f64 eps b)) -1/2) 1/2))) (/.f64 1 (.f64 eps a))))) (.f64 eps -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps (+.f64 (fma.f64 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eps 1/6 (.f64 eps (.f64 (+.f64 (/.f64 1 (.f64 eps b)) -1/2) 1/2))) (/.f64 1 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (neg.f64 a) (fma.f64 eps 1/6 (.f64 eps (.f64 (+.f64 (/.f64 1 (.f64 eps b)) -1/2) 1/2))) (/.f64 1 (.f64 eps a)))) (sqrt.f64 (fma.f64 (neg.f64 a) (fma.f64 eps 1/6 (.f64 eps (.f64 (+.f64 (/.f64 1 (.f64 eps b)) -1/2) 1/2))) (/.f64 1 (.f64 eps a)))) (/.f64 1 (*.f64 eps b)))))))
((#(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 eps) 1/6))))) (#(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 expm1.f64 (log1p.f64 (.f64 eps 1/6)))))) (#(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))))))

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

722×	`times-frac_binary64`
422×	`cancel-sign-sub-inv_binary64`
369×	`associate-+l+_binary64`
330×	`fma-neg_binary64`
323×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1873
1	240	1815
2	678	1749
3	2420	1632
4	7415	1632

Stop Event

1×	node limit

Counts

196 → 160

Calls

Call 1

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

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

eval165.0ms (0.8%)

Compiler: Compiled 8595 to 5174 computations (39.8% saved)

prune56.0ms (0.3%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	316	5	321
Fresh	3	4	7
Picked	1	0	1
Done	2	6	8
Total	322	15	337

Error

Counts

337 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	36.2b	(-.f64 (+.f64 1 (/.f64 1 b)) 1)
✓	17.9b	(/.f64 (+.f64 a b) (*.f64 a b))
	48.1b	(.f64 eps (-.f64 (/.f64 1 (.f64 eps a)) 1/2))
✓	33.2b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
✓	33.3b	(/.f64 1 a)
	46.1b	(/.f64 eps (expm1.f64 (*.f64 a eps)))
	8.3b	(/.f64 (+.f64 1 (/.f64 a b)) a)
	28.0b	(+.f64 (.f64 -1 (.f64 eps (.f64 a (+.f64 (.f64 1/6 eps) (.f64 1/2 (.f64 eps (-.f64 (/.f64 1 (.f64 eps b)) 1/2))))))) (+.f64 (.f64 eps (-.f64 (/.f64 1 (*.f64 eps b)) 1/2)) (/.f64 1 a)))
	38.2b	(/.f64 (/.f64 b a) b)
	48.1b	(.f64 (-.f64 (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 1/6 eps) (.f64 -1/4 eps)))) (/.f64 1 (.f64 eps a))) 1/2) eps)
	33.4b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
	50.1b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 a (.f64 eps (expm1.f64 (*.f64 b eps))))))
	37.9b	(/.f64 (/.f64 a b) a)
✓	62.1b	(*.f64 -1/2 eps)
✓	33.5b	(/.f64 1 b)

Compiler

Compiled 186 to 134 computations (28% saved)

regimes132.0ms (0.7%)

Counts

37 → 3

Calls

Call 1

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

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

Calls

4 calls:

49.0ms	b
40.0ms	a
18.0ms	eps
12.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Results

Error	Segments	Branch
1.9b	2	`a`
2.5b	3	`b`
3.8b	1	`eps`
0.0b	3	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))`

Compiler

Compiled 572 to 296 computations (48.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.755924863315924e-27	+inf
0.0ms	-inf	-2.2521037237199185e-24

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes122.0ms (0.6%)

Counts

34 → 3

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	b
34.0ms	a
20.0ms	eps

Results

Error	Segments	Branch
2.5b	2	`a`
2.5b	3	`b`
3.8b	1	`eps`

Compiler

Compiled 483 to 259 computations (46.4% saved)

bsearch699.0ms (3.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
202.0ms	2.4699574989784598e+258	1.9342541069572308e+262
495.0ms	8.779556320660973e+151	3.0128853695989427e+152

Compiler

Compiled 339 to 239 computations (29.5% saved)

regimes49.0ms (0.2%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	b
10.0ms	a
10.0ms	eps

Results

Error	Segments	Branch
4.0b	1	`a`
2.6b	3	`b`
4.0b	1	`eps`

Compiler

Compiled 119 to 66 computations (44.5% saved)

bsearch214.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
154.0ms	2.4699574989784598e+258	1.9342541069572308e+262
60.0ms	8.779556320660973e+151	3.0128853695989427e+152

Compiler

Compiled 231 to 160 computations (30.7% saved)

regimes32.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	eps
8.0ms	b
7.0ms	a

Results

Error	Segments	Branch
4.0b	1	`a`
4.0b	1	`b`
4.0b	1	`eps`

Compiler

Compiled 83 to 51 computations (38.6% saved)

regimes66.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	b
18.0ms	eps
17.0ms	a

Results

Error	Segments	Branch
4.8b	2	`a`
5.6b	2	`b`
6.6b	2	`eps`

Compiler

Compiled 69 to 44 computations (36.2% saved)

bsearch1.5s (7.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
1.5s	-2.9938861748755483e+74	-9.242521940758162e+64

Compiler

Compiled 231 to 177 computations (23.4% saved)

regimes228.0ms (1.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

132.0ms	b
47.0ms	a
45.0ms	eps

Results

Error	Segments	Branch
4.9b	2	`a`
5.7b	2	`b`
6.6b	2	`eps`

Compiler

Compiled 55 to 36 computations (34.5% saved)

bsearch1.3s (6.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
1.3s	-2.9938861748755483e+74	-9.242521940758162e+64

Compiler

Compiled 195 to 150 computations (23.1% saved)

regimes89.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

69.0ms	eps
9.0ms	a
8.0ms	b

Results

Error	Segments	Branch
13.9b	2	`a`
13.1b	2	`b`
20.3b	10	`eps`

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch224.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
224.0ms	4.012859772327977e-166	4.815178559790236e-166

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes12.0ms (0.1%)

Accuracy

Total -29.1b remaining (-87.3%)

Threshold costs -29.1b (-87.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1 a)

Calls

3 calls:

3.0ms	eps
3.0ms	a
3.0ms	b

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)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
8×	`+-commutative_binary64`
3×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	300
1	85	300
2	88	300

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 1742245718635205/348449143727040986586495598010130648530944) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b 89999999999999997184945569075953377327595089430721889847742791882891919676095773696907912005363018687356609353310492148507250500409489455039101173497856) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (if (<=.f64 b 19000000000000001705667926999467301143338215792378412588156018012395432209840086048522791410695975327007078419848677693883795913772207249808775109258810202111842550473043234214458975361034163804343091114796686849484530991891620707833521894147134704313557374205952) (/.f64 (+.f64 a b) (.f64 a b)) (/.f64 (+.f64 1 (/.f64 a b)) a)))
(if (<=.f64 b 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 b 19000000000000001705667926999467301143338215792378412588156018012395432209840086048522791410695975327007078419848677693883795913772207249808775109258810202111842550473043234214458975361034163804343091114796686849484530991891620707833521894147134704313557374205952) (/.f64 (+.f64 a b) (*.f64 a b)) (/.f64 (+.f64 1 (/.f64 a b)) a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -95000000000000002756190624563619161970461914128598179771527987200) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (/.f64 (+.f64 1 (/.f64 a b)) a))
(if (<=.f64 a -95000000000000002756190624563619161970461914128598179771527987200) (/.f64 1 b) (/.f64 (+.f64 1 (/.f64 a b)) a))
(if (<=.f64 b 426276456985886144/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(*.f64 -1/2 eps)

Outputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 1742245718635205/348449143727040986586495598010130648530944) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) -inf.0) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) 1742245718635205/348449143727040986586495598010130648530944) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) (+.f64 (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b 89999999999999997184945569075953377327595089430721889847742791882891919676095773696907912005363018687356609353310492148507250500409489455039101173497856) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 eps -1/2))) (if (<=.f64 b 19000000000000001705667926999467301143338215792378412588156018012395432209840086048522791410695975327007078419848677693883795913772207249808775109258810202111842550473043234214458975361034163804343091114796686849484530991891620707833521894147134704313557374205952) (/.f64 (+.f64 a b) (.f64 a b)) (/.f64 (+.f64 1 (/.f64 a b)) a)))
(if (<=.f64 b 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (+.f64 (/.f64 1 b) (/.f64 1 a)) (if (<=.f64 b 19000000000000001705667926999467301143338215792378412588156018012395432209840086048522791410695975327007078419848677693883795913772207249808775109258810202111842550473043234214458975361034163804343091114796686849484530991891620707833521894147134704313557374205952) (/.f64 (+.f64 a b) (*.f64 a b)) (/.f64 (+.f64 1 (/.f64 a b)) a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 a -95000000000000002756190624563619161970461914128598179771527987200) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (/.f64 (+.f64 1 (/.f64 a b)) a))
(if (<=.f64 a -95000000000000002756190624563619161970461914128598179771527987200) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) (/.f64 (+.f64 1 (/.f64 a b)) a))
(if (<=.f64 a -95000000000000002756190624563619161970461914128598179771527987200) (/.f64 1 b) (/.f64 (+.f64 1 (/.f64 a b)) a))
(if (<=.f64 b 426276456985886144/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 1 b) (/.f64 1 a))
(if (<=.f64 b 6660569640404471/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(*.f64 -1/2 eps)
(*.f64 eps -1/2)

Compiler

Compiled 230 to 150 computations (34.8% saved)

soundness239.0ms (1.2%)

Algorithm

3×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28
0	330	5943
1	1129	5861
2	4341	5743
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28

Stop Event

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

Compiler

Compiled 404 to 268 computations (33.7% saved)

end191.0ms (1%)

Remove: (sort a b)
Compiler: Compiled 384 to 219 computations (43% saved)