Details

analyze592.0ms (4.2%)

Algorithm

1×

Search

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample6.9s (49.1%)

Results

4.6s	4205×	body	2048	valid
1.3s	2512×	body	1024	valid
252.0ms	479×	body	1024	unsamplable
220.0ms	720×	body	512	valid
187.0ms	314×	body	2048	unsamplable
126.0ms	811×	body	256	valid
116.0ms	759×	body	256	unsamplable
76.0ms	224×	body	512	unsamplable
27.0ms	8×	body	4096	valid
3.0ms	4×	body	2048	infinite

Bogosity

preprocess48.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	112
1	146	112
2	314	112
3	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)

simplify23.0ms (0.2%)

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 → 5

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 99 to 36 computations (63.6% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

24.6b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.1b	(.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (/.f64 eps (expm1.f64 (.f64 eps b))))
▶	24.9b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
▶	36.9b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Status

Error

Program

▶

25.1b

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

▶

24.9b

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

▶

36.9b

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

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.1b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	13.9b	(/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
✓	20.8b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series39.0ms (0.3%)

Counts

4 → 144

Calls

36 calls:

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

rewrite81.0ms (0.6%)

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	68
1	294	68
2	4079	68

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

Inputs
(.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 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 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.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 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (expm1.f64 (.f64 eps (+.f64 a b))))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (expm1.f64 (.f64 eps (+.f64 a b))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (expm1.f64 (.f64 eps (+.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (expm1.f64 (.f64 eps (+.f64 a b)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (expm1.f64 (.f64 eps (+.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 eps (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 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 a))) (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (neg.f64 eps)) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (expm1.f64 (.f64 eps (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 eps (+.f64 a b))) 3) (pow.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3) (pow.f64 (expm1.f64 (.f64 eps (+.f64 a b))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 eps (.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 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) (cbrt.f64 (exp.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (.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 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (/.f64 1 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change 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simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

549×	`associate-r_binary64`
469×	`associate-l_binary64`
449×	`fma-def_binary64`
286×	`times-frac_binary64`
261×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	621	7442
1	1941	7247

Stop Event

1×	node limit

Counts

263 → 294

Calls

Call 1

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

Outputs
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (/.f64 (+.f64 a b) b) a)
(+.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 (fma.f64 eps (-.f64 (.f64 (/.f64 1/2 a) (/.f64 (pow.f64 (+.f64 a b) 2) b)) (.f64 (/.f64 (+.f64 a b) (.f64 b b)) (.f64 (/.f64 1/2 a) (/.f64 (fma.f64 b (.f64 a a) (.f64 a (*.f64 b b))) a)))) (/.f64 1 a)) (/.f64 1 b))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 1/4 (.f64 a a)) (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b))) (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))))))) (.f64 eps eps) (fma.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
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(pow.f64 (sqrt.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 2)
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(pow.f64 (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 eps (expm1.f64 (.f64 eps a)))) -1)
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(neg.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (*.f64 eps a))))))
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(sqrt.f64 (pow.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 2))
(sqrt.f64 (pow.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))) 2))
(fabs.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps))))
(log.f64 (exp.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))))
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(cbrt.f64 (pow.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 3))
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) 3)))
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(expm1.f64 (log1p.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(log1p.f64 (expm1.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(exp.f64 (log.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(exp.f64 (.f64 (log.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 1))
(/.f64 eps (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 b eps)))
(+.f64 0 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))) (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 eps b))) (expm1.f64 (*.f64 eps a))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))) (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 b eps))) (expm1.f64 (*.f64 a eps))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 b eps))) (expm1.f64 (*.f64 a eps))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 b eps))) (expm1.f64 (*.f64 a eps))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 1)
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) 1)
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(pow.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) 3) 1/3)
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(pow.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 3)
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(pow.f64 (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) 2)
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(sqrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) 2))
(sqrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))) 2))
(fabs.f64 (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps))))
(log.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(cbrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) 3))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 eps a)) 3) (pow.f64 (expm1.f64 (*.f64 eps b)) 3)))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 eps b)) 3) (pow.f64 (expm1.f64 (*.f64 eps a)) 3)))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(expm1.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(log1p.f64 (expm1.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(exp.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 1))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) -1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(+.f64 0 (expm1.f64 (*.f64 eps (+.f64 a b))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (cbrt.f64 (exp.f64 (expm1.f64 (.f64 eps (+.f64 a b))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 eps (+.f64 a b)))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 (+.f64 a b) eps)))) (cbrt.f64 (exp.f64 (expm1.f64 (.f64 (+.f64 a b) eps)))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 (+.f64 a b) eps))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 (+.f64 a b) eps)))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 (+.f64 a b) eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 eps (+.f64 a b)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 eps (+.f64 a b)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 (+.f64 a b) eps))))))
(-.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(.f64 1 (expm1.f64 (.f64 eps (+.f64 a b))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))) 2))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 2) (cbrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) 3) 1) (fma.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (pow.f64 (exp.f64 eps) (+.f64 a b)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) 3) -1) (fma.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (pow.f64 (exp.f64 eps) (+.f64 a b)) (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) 3) -1) (+.f64 (pow.f64 (exp.f64 eps) (*.f64 2 (+.f64 a b))) (+.f64 1 (pow.f64 (exp.f64 (+.f64 a b)) eps))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (pow.f64 (exp.f64 eps) (+.f64 a b)) -1) (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) 1))
(/.f64 (fma.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (pow.f64 (exp.f64 eps) (+.f64 a b)) -1) (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))))
(/.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 2 (+.f64 a b))) -1) (+.f64 1 (pow.f64 (exp.f64 (+.f64 a b)) eps)))
(pow.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 3) 1/3)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))) 3)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))) 2)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)) 2))
(fabs.f64 (expm1.f64 (*.f64 (+.f64 a b) eps)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 eps (+.f64 a b))))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) 3))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(exp.f64 (log.f64 (expm1.f64 (*.f64 eps (+.f64 a b)))))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) 1))
(expm1.f64 (*.f64 (+.f64 a b) eps))
(fma.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b)) -1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(fma.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b) -1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 a b))) (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)))) (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 a b))) -1)
(expm1.f64 (*.f64 (+.f64 a b) eps))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (+.f64 a b))) (sqrt.f64 (pow.f64 (exp.f64 eps) (+.f64 a b))) -1)
(expm1.f64 (*.f64 (+.f64 a b) eps))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	3.9b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
✓	10.4b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
✓	14.2b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series23.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	eps	@	inf	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
1.0ms	eps	@	0	(/.f64 eps (expm1.f64 (*.f64 eps a)))
1.0ms	eps	@	0	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
1.0ms	b	@	0	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
1.0ms	eps	@	inf	(/.f64 eps (expm1.f64 (*.f64 eps a)))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`prod-diff_binary64`
295×	`fma-def_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`
240×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	303	54
2	4380	54

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Inputs

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

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

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

Outputs
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Outputs

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

simplify361.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

395×	`log-prod_binary64`
376×	`associate-r_binary64`
366×	`associate-/l*_binary64`
328×	`associate-l_binary64`
290×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	576	6556
1	1733	6463
2	7076	6437

Stop Event

1×	node limit

Counts

217 → 227

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	3.6b	(.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (/.f64 eps (expm1.f64 (.f64 eps b))))
✓	11.4b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))
✓	13.5b	(/.f64 eps (expm1.f64 (*.f64 eps b)))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series16.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`prod-diff_binary64`
295×	`fma-def_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`
240×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	303	54
2	4380	54

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

401×	`log-prod_binary64`
390×	`associate-r_binary64`
372×	`associate-/l*_binary64`
330×	`associate-l_binary64`
293×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	579	6569
1	1755	6435
2	7259	6409

Stop Event

1×	node limit

Counts

217 → 231

Calls

Call 1

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

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

eval463.0ms (3.3%)

Compiler: Compiled 35693 to 11586 computations (67.5% saved)

prune228.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	890	8	898
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	893	8	901

Error

0.0b

Counts

901 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.0b	(/.f64 (/.f64 (+.f64 a b) b) a)
▶	15.7b	(/.f64 (+.f64 b a) (*.f64 b a))
	33.5b	(/.f64 1 b)
▶	33.9b	(/.f64 1 a)
	25.9b	(.f64 (/.f64 (+.f64 b a) a) (/.f64 eps (expm1.f64 (.f64 eps b))))
▶	34.5b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
▶	42.6b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
	43.1b	(.f64 1 (/.f64 eps (expm1.f64 (.f64 eps b))))

Compiler

Compiled 184 to 124 computations (32.6% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) b)
✓	5.8b	(/.f64 (/.f64 (+.f64 a b) b) a)

Compiler

Compiled 20 to 6 computations (70% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	b	@	-inf	(/.f64 (+.f64 a b) b)
1.0ms	a	@	-inf	(/.f64 (/.f64 (+.f64 a b) b) a)
1.0ms	a	@	inf	(/.f64 (/.f64 (+.f64 a b) b) a)
1.0ms	b	@	-inf	(/.f64 (/.f64 (+.f64 a b) b) a)
1.0ms	b	@	inf	(/.f64 (/.f64 (+.f64 a b) b) a)

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

576×	`distribute-rgt-in_binary64`
558×	`distribute-lft-in_binary64`
455×	`unswap-sqr_binary64`
397×	`associate-/l/_binary64`
232×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	175	1157
1	431	1127
2	1985	1127

Stop Event

1×	node limit

Counts

119 → 94

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

localize3.0ms (0%)

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

localize24.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.7b	(/.f64 (+.f64 b a) (*.f64 b a))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (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 b a) (*.f64 b a))

Outputs

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

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

763×	`log-div_binary64`
718×	`log-prod_binary64`
471×	`times-frac_binary64`
390×	`associate-*l/_binary64`
383×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	666
1	272	654
2	1025	654
3	6237	654

Stop Event

1×	node limit

Counts

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps a))
	14.2b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 27 to 9 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`pow1_binary64`
422×	`add-sqr-sqrt_binary64`
416×	`*-un-lft-identity_binary64`
405×	`add-log-exp_binary64`
405×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	96	6
2	1113	6

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(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 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 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)))))

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

501×	`associate-l_binary64`
462×	`associate-r_binary64`
308×	`fma-def_binary64`
271×	`times-frac_binary64`
260×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	491
1	187	479
2	630	459
3	4024	452
4	7927	452

Stop Event

1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(+.f64 (pow.f64 (exp.f64 eps) a) -1)
(+.f64 0 (expm1.f64 (*.f64 eps a)))
(+.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))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 eps a))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 eps a))))))
(-.f64 (pow.f64 (exp.f64 eps) a) 1)
(.f64 (expm1.f64 (.f64 eps a)) 1)
(.f64 1 (expm1.f64 (.f64 eps a)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2) (cbrt.f64 (expm1.f64 (*.f64 eps a))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps a))) (sqrt.f64 (expm1.f64 (*.f64 eps a))))
(/.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))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) a) -1) (+.f64 (pow.f64 (exp.f64 eps) a) 1))
(pow.f64 (expm1.f64 (*.f64 eps a)) 1)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 eps a))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 eps a))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 3))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 eps a))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 eps a))))
(fma.f64 1 (pow.f64 (exp.f64 eps) a) -1)
(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)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) a)) (sqrt.f64 (pow.f64 (exp.f64 eps) a)) -1)

Outputs
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (.f64 eps a))
(fma.f64 eps a (.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a))))
(.f64 a (+.f64 (.f64 a (.f64 eps (.f64 eps 1/2))) eps))
(.f64 eps (+.f64 a (.f64 1/2 (.f64 eps (.f64 a a)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 eps a (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 a 3)))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a (+.f64 (.f64 a (.f64 eps (*.f64 eps 1/2))) eps)))
(.f64 a (+.f64 eps (.f64 a (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 a (.f64 1/6 (pow.f64 eps 3)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 eps a (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a (+.f64 (.f64 a (.f64 eps (.f64 eps 1/2))) eps))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (.f64 a (+.f64 eps (.f64 a (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 a (*.f64 1/6 (pow.f64 eps 3))))))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(*.f64 eps a)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (*.f64 eps a))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (.f64 eps a))
(fma.f64 eps a (.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a))))
(.f64 a (+.f64 (.f64 a (.f64 eps (.f64 eps 1/2))) eps))
(.f64 eps (+.f64 a (.f64 1/2 (.f64 eps (.f64 a a)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (*.f64 eps a)))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 eps a (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 a 3)))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a (+.f64 (.f64 a (.f64 eps (*.f64 eps 1/2))) eps)))
(.f64 a (+.f64 eps (.f64 a (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 a (.f64 1/6 (pow.f64 eps 3)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 a 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))) (*.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 a a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 eps a))))
(fma.f64 1/2 (.f64 (.f64 eps a) (.f64 eps a)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 eps a (.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (fma.f64 1/6 (.f64 (pow.f64 eps 3) (pow.f64 a 3)) (.f64 a (+.f64 (.f64 a (.f64 eps (.f64 eps 1/2))) eps))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 a 4)) (.f64 a (+.f64 eps (.f64 a (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 a (*.f64 1/6 (pow.f64 eps 3))))))))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(-.f64 (exp.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(+.f64 (pow.f64 (exp.f64 eps) a) -1)
(expm1.f64 (*.f64 eps a))
(+.f64 0 (expm1.f64 (*.f64 eps a)))
(expm1.f64 (*.f64 eps a))
(+.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))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 eps a)))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 eps a))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 eps a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 eps a))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 eps a))))))
(expm1.f64 (*.f64 eps a))
(-.f64 (pow.f64 (exp.f64 eps) a) 1)
(expm1.f64 (*.f64 eps a))
(.f64 (expm1.f64 (.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(.f64 1 (expm1.f64 (.f64 eps a)))
(expm1.f64 (*.f64 eps a))
(.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a))) 2))
(expm1.f64 (*.f64 eps a))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2) (cbrt.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 eps a))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps a))) (sqrt.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 eps a))
(/.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))))
(/.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 (pow.f64 (exp.f64 eps) a))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 eps) a) 3)) (+.f64 (+.f64 1 (pow.f64 (exp.f64 eps) a)) (pow.f64 (exp.f64 eps) (*.f64 2 a))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 eps) a) 3)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 eps) a) (+.f64 1 (pow.f64 (exp.f64 eps) a)))))
(/.f64 (expm1.f64 (.f64 3 (.f64 eps a))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) (+.f64 a a)))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) a) -1) (+.f64 (pow.f64 (exp.f64 eps) a) 1))
(expm1.f64 (*.f64 eps a))
(pow.f64 (expm1.f64 (*.f64 eps a)) 1)
(expm1.f64 (*.f64 eps a))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 3) 1/3)
(expm1.f64 (*.f64 eps a))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps a))) 3)
(expm1.f64 (*.f64 eps a))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 eps a))) 2)
(expm1.f64 (*.f64 eps a))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 2))
(expm1.f64 (*.f64 eps a))
(log.f64 (exp.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 eps a))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 eps a)) 3))
(expm1.f64 (*.f64 eps a))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 eps a))
(exp.f64 (log.f64 (expm1.f64 (*.f64 eps a))))
(expm1.f64 (*.f64 eps a))
(fma.f64 1 (pow.f64 (exp.f64 eps) a) -1)
(expm1.f64 (*.f64 eps a))
(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)
(expm1.f64 (*.f64 eps a))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) a)) (sqrt.f64 (pow.f64 (exp.f64 eps) a)) -1)
(expm1.f64 (*.f64 eps a))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.7b	(log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
✓	1.7b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
	10.4b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
	14.2b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 96 to 15 computations (84.4% saved)

series196.0ms (1.4%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
44.0ms	a	@	inf	(log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
42.0ms	eps	@	-inf	(log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
39.0ms	eps	@	inf	(log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
22.0ms	b	@	inf	(log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
21.0ms	b	@	-inf	(log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

875×	`log-prod_binary64`
310×	`fma-def_binary64`
290×	`expm1-udef_binary64`
290×	`log1p-udef_binary64`
251×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	319	47
2	4419	47

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs

(*.f64 (/.f64 eps (expm1.f64 (*.f64 eps a))) (expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))))

(log1p.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))

Outputs

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

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

320×	`associate-r_binary64`
276×	`fma-def_binary64`
273×	`associate-/l*_binary64`
263×	`*-commutative_binary64`
247×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	526	7154
1	1666	6355
2	6455	6312

Stop Event

1×	node limit

Counts

144 → 167

Calls

Call 1

Inputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(+.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (pow.f64 (+.f64 a b) 4) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (.f64 1/24 (.f64 a (pow.f64 b 4))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) b)) (.f64 1/12 (.f64 (pow.f64 a 3) (pow.f64 b 2)))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)) (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (.f64 a b))))) (pow.f64 eps 3)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 1 a)
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 a)) (.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps)))))) a) (/.f64 1 a))) (.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (+.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps)))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps)))))) eps)))))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 1/2 eps)))))) a) (/.f64 1 a)))) (*.f64 1/2 eps))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) eps) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (.f64 eps b)) 1)))
(/.f64 1 b)
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 b)) (.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 1/2 eps)))))) b) (/.f64 1 b))) (.f64 1/2 eps))
(-.f64 (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 1/2 eps)))))) b) (+.f64 (/.f64 1 b) (.f64 (pow.f64 b 2) (-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 1/2 eps)))))) eps)) (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps a))) (-.f64 (exp.f64 (.f64 eps a)) 1)) (.f64 1/2 eps))))))))))) (*.f64 1/2 eps))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1)))
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(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) eps) (.f64 (neg.f64 (expm1.f64 (.f64 eps b))) (expm1.f64 (*.f64 eps a))))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (neg.f64 eps)) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (neg.f64 eps)) (.f64 (neg.f64 (expm1.f64 (.f64 eps b))) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 1) (expm1.f64 (.f64 eps a)))
(/.f64 (/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (cbrt.f64 (expm1.f64 (*.f64 eps a))))
(/.f64 (/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) (sqrt.f64 (expm1.f64 (.f64 eps a)))) (sqrt.f64 (expm1.f64 (*.f64 eps a))))
(/.f64 (.f64 (neg.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) (neg.f64 (expm1.f64 (.f64 eps a))))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 eps b)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (neg.f64 (expm1.f64 (.f64 eps b))))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b)))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (neg.f64 (expm1.f64 (.f64 eps b))))
(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) (neg.f64 eps)) (neg.f64 (expm1.f64 (.f64 eps a))))
(pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 1)
(pow.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) 3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) 2)
(sqrt.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) (/.f64 eps (expm1.f64 (*.f64 eps a)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 3) (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 3) (pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(exp.f64 (log.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))) 1))
(+.f64 0 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 1)))) (log.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 1))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 2) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 2))) (log.f64 (-.f64 1 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b)))) 1)
(.f64 1 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b)))))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))))
(.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))))
(pow.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 2))
(log.f64 (+.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))) 1))

Outputs
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (/.f64 (+.f64 a b) a) b)
(+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(fma.f64 eps (-.f64 (/.f64 (.f64 1/2 (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 (/.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)))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/6 (.f64 a (pow.f64 b 3))) (.f64 1/4 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2))))) (.f64 a b)))) (pow.f64 eps 2)) (+.f64 (.f64 eps (-.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 a b) 2) (.f64 a b))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (.f64 1/2 (.f64 a (pow.f64 b 2)))) (+.f64 a b)) (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (-.f64 (-.f64 (.f64 1/6 (/.f64 (pow.f64 (+.f64 a b) 3) (.f64 a b))) (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 1/6 (.f64 a (pow.f64 b 3)) (.f64 (.f64 (.f64 a a) (.f64 b b)) 1/4))) (/.f64 (.f64 (.f64 a a) (.f64 b b)) (+.f64 a b)))) (/.f64 (-.f64 (/.f64 (.f64 1/2 (pow.f64 (+.f64 a b) 2)) (.f64 a b)) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (/.f64 (.f64 a b) (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b))))))) (.f64 eps eps) (fma.f64 eps (-.f64 (/.f64 (.f64 1/2 (pow.f64 (+.f64 a b) 2)) (.f64 a b)) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 b (.f64 a a)) (.f64 a (.f64 b b)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)))) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(fma.f64 (-.f64 (/.f64 (.f64 1/6 (pow.f64 (+.f64 a b) 3)) (.f64 a b)) (fma.f64 (/.f64 (fma.f64 1/6 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a 1/6) (pow.f64 b 3) (.f64 (.f64 b b) (.f64 (.f64 a a) 1/4)))) (.f64 a a)) (/.f64 (+.f64 a b) (.f64 b b)) (.f64 (/.f64 (-.f64 (.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)))))) b) (/.f64 (.f64 1/2 (fma.f64 b (.f64 a a) (.f64 a (.f64 b b)))) a)))) (.f64 eps eps) (+.f64 (/.f64 1 b) (fma.f64 eps (-.f64 (.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 eps (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(/.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 (+.f64 a b) eps)))) (expm1.f64 (*.f64 a eps)))
(.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(exp.f64 (log.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(/.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 (+.f64 a b) eps)))) (expm1.f64 (*.f64 a eps)))
(.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))) 1))
(/.f64 (/.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (.f64 (+.f64 a b) eps)))) (expm1.f64 (*.f64 a eps)))
(.f64 eps (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (.f64 (expm1.f64 (.f64 b eps)) (expm1.f64 (*.f64 a eps)))))
(+.f64 0 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 1)))) (log.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))) 1))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (*.f64 b eps)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (*.f64 b eps)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 1))))
(.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (*.f64 b eps)))))))
(.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (*.f64 b eps)))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 2) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) 3)) (log1p.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) 2) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))))) 1)
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 2))) (log.f64 (-.f64 1 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) 2))) (log.f64 (-.f64 1 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))) 2))) (log1p.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (expm1.f64 (.f64 b eps)))))
(.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b)))) 1)
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(.f64 1 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))) 2))
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))))
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))))
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(pow.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 1)
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 3) 1/3)
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) 3)
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))) 2)
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 2))
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(log.f64 (+.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 1))
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) 3))
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps b))))) 1))
(log.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 b eps)))) (/.f64 1 (expm1.f64 (.f64 b eps)))))
(log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 b eps))))

eval272.0ms (1.9%)

Compiler: Compiled 19150 to 7216 computations (62.3% saved)

prune139.0ms (1%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	537	6	543
Fresh	0	3	3
Picked	0	1	1
Done	0	4	4
Total	537	14	551

Error

Counts

551 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.0b	(/.f64 (/.f64 (+.f64 a b) b) a)
▶	8.5b	(/.f64 (/.f64 (+.f64 a b) a) b)
	39.6b	(/.f64 (/.f64 a b) a)
✓	15.7b	(/.f64 (+.f64 b a) (*.f64 b a))
▶	33.5b	(/.f64 1 b)
✓	33.9b	(/.f64 1 a)
	21.3b	(-.f64 (+.f64 1 (/.f64 (+.f64 b a) (*.f64 b a))) 1)
	25.9b	(.f64 (/.f64 (+.f64 b a) a) (/.f64 eps (expm1.f64 (.f64 eps b))))
▶	45.9b	(.f64 (/.f64 eps (.f64 eps a)) 1)
✓	34.5b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))
✓	42.6b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
▶	16.3b	(.f64 (/.f64 1 (.f64 b a)) (+.f64 b a))
	33.4b	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1)
▶	43.1b	(.f64 1 (/.f64 eps (expm1.f64 (.f64 eps b))))

Compiler

Compiled 256 to 176 computations (31.3% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) a)
✓	4.3b	(/.f64 (/.f64 (+.f64 a b) a) b)

Compiler

Compiled 20 to 6 computations (70% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(/.f64 (/.f64 (+.f64 a b) a) b)
0.0ms	a	@	0	(/.f64 (+.f64 a b) a)
0.0ms	a	@	-inf	(/.f64 (+.f64 a b) a)
0.0ms	b	@	-inf	(/.f64 (+.f64 a b) a)
0.0ms	b	@	0	(/.f64 (+.f64 a b) a)

rewrite80.0ms (0.6%)

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)))))))

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

576×	`distribute-rgt-in_binary64`
558×	`distribute-lft-in_binary64`
455×	`unswap-sqr_binary64`
395×	`associate-/l/_binary64`
232×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	175	1157
1	429	1127
2	1962	1127

Stop Event

1×	node limit

Counts

119 → 95

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

localize3.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.3b	(/.f64 eps (*.f64 eps a))

Compiler

Compiled 21 to 8 computations (61.9% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`pow1_binary64`
550×	`add-log-exp_binary64`
550×	`log1p-expm1-u_binary64`
550×	`expm1-log1p-u_binary64`
537×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	4
2	1507	4

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

901×	`times-frac_binary64`
564×	`exp-prod_binary64`
470×	`cube-div_binary64`
434×	`associate-l_binary64`
394×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	342
1	253	324
2	756	324
3	6179	308

Stop Event

1×	node limit

Counts

59 → 48

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (*.f64 b a))
✓	13.6b	(.f64 (/.f64 1 (.f64 b a)) (+.f64 b a))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`prod-diff_binary64`
447×	`log-prod_binary64`
361×	`pow-prod-down_binary64`
242×	`fma-def_binary64`
225×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2629	17

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

432×	`unswap-sqr_binary64`
377×	`associate-/l/_binary64`
275×	`associate-/r/_binary64`
173×	`associate-l_binary64`
159×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	302	1891
1	837	1819
2	3220	1819

Stop Event

1×	node limit

Counts

170 → 148

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

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 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 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 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(/.f64 1 (*.f64 a b))
(/.f64 1 (*.f64 b a))
(+.f64 0 (/.f64 (+.f64 b a) (*.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 a (*.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 a (*.f64 b a)) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (.f64 (/.f64 1 a) 1) (.f64 (/.f64 a (*.f64 b a)) 1))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 b a) (.f64 b a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 b a) (.f64 b a))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 b a) (.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 b a) (*.f64 b a))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b a) (.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b a) (.f64 b a))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b a) (.f64 b a))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 b) (/.f64 1 a))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b a) (*.f64 b a)))) 1)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 (/.f64 (*.f64 b a) (+.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (+.f64 b a) (*.f64 b a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 2) (/.f64 (*.f64 b a) (cbrt.f64 (+.f64 b a))))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (sqrt.f64 (+.f64 b a)) (/.f64 (*.f64 b a) (sqrt.f64 (+.f64 b a))))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 (.f64 b a) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b a)) (fma.f64 a (-.f64 a b) (.f64 b b)))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b (.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 b a) (-.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (neg.f64 (+.f64 b a)) (*.f64 a (neg.f64 b)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (.f64 -1 (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 (.f64 a (neg.f64 b)) (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b a)) (fma.f64 a (-.f64 a b) (.f64 b b)))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b (.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (.f64 (/.f64 1 b) (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b a)) (fma.f64 a (-.f64 a b) (.f64 b b)))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b (.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (.f64 -1 (-.f64 (.f64 b b) (.f64 a a))) (.f64 (*.f64 a (neg.f64 b)) (-.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (.f64 (/.f64 1 b) (-.f64 (.f64 b b) (.f64 a a))) (.f64 a (-.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) 1) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 b a)))
(/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b a)) (fma.f64 a (-.f64 a b) (.f64 b b)))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b (.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) 1) (.f64 (-.f64 b a) (*.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) -1) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 a (neg.f64 b))))
(/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b a)) (fma.f64 a (-.f64 a b) (.f64 b b)))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b (.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) -1) (.f64 (-.f64 b a) (*.f64 a (neg.f64 b))))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (/.f64 1 b)) (.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a))
(/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b a)) (fma.f64 a (-.f64 a b) (.f64 b b)))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b (.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (/.f64 1 b)) (.f64 (-.f64 b a) a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (/.f64 (+.f64 b a) a) b)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (/.f64 (+.f64 b a) b) a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (/.f64 (+.f64 b a) (sqrt.f64 (.f64 b a))) (sqrt.f64 (.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (+.f64 (pow.f64 (/.f64 1 a) 3) (pow.f64 (/.f64 a (.f64 b a)) 3)) (+.f64 (pow.f64 (/.f64 1 a) 2) (-.f64 (pow.f64 (/.f64 a (.f64 b a)) 2) (.f64 (/.f64 1 a) (/.f64 a (.f64 b a))))))
(/.f64 (+.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 (/.f64 a (.f64 b a)) 3)) (+.f64 (pow.f64 (/.f64 1 a) 2) (-.f64 (pow.f64 (/.f64 a (.f64 b a)) 2) (/.f64 (/.f64 a (*.f64 b a)) a))))
(/.f64 (+.f64 (pow.f64 (/.f64 1 a) 3) (pow.f64 (/.f64 1 b) 3)) (+.f64 (/.f64 (/.f64 1 a) a) (+.f64 (pow.f64 (/.f64 1 b) 2) (/.f64 -1 (*.f64 b a)))))
(/.f64 (+.f64 (/.f64 1 (pow.f64 a 3)) (/.f64 1 (pow.f64 b 3))) (+.f64 (/.f64 1 (*.f64 a a)) (+.f64 (pow.f64 (/.f64 1 b) 2) (/.f64 (/.f64 -1 b) a))))
(/.f64 (-.f64 (pow.f64 (/.f64 1 a) 2) (pow.f64 (/.f64 a (.f64 b a)) 2)) (-.f64 (/.f64 1 a) (/.f64 a (.f64 b a))))
(/.f64 (-.f64 (/.f64 (/.f64 1 a) a) (pow.f64 (/.f64 1 b) 2)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 (-.f64 (/.f64 1 (.f64 a a)) (pow.f64 (/.f64 1 b) 2)) (/.f64 (-.f64 b a) (.f64 b a)))
(/.f64 (/.f64 (+.f64 b a) 1) (*.f64 b a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (/.f64 (+.f64 b a) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (.f64 -1 (+.f64 b a)) (.f64 a (neg.f64 b)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (*.f64 (/.f64 1 b) (+.f64 b a)) a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (/.f64 1 (.f64 b a))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b a)) (fma.f64 a (-.f64 a b) (.f64 b b)))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b (.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (/.f64 1 (.f64 b a))) (-.f64 b a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (.f64 (/.f64 1 (.f64 b a)) (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b a)) (fma.f64 a (-.f64 a b) (.f64 b b)))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b (.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (.f64 (/.f64 1 (.f64 b a)) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 b a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (.f64 (+.f64 b a) -1) (.f64 a (neg.f64 b)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 (*.f64 (+.f64 b a) (/.f64 1 b)) a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(pow.f64 (/.f64 (+.f64 b a) (*.f64 b a)) 1)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(pow.f64 (pow.f64 (/.f64 (+.f64 b a) (*.f64 b a)) 2) 1/2)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(pow.f64 (pow.f64 (/.f64 (+.f64 b a) (*.f64 b a)) 3) 1/3)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b a) (*.f64 b a))) 3)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b a) (*.f64 b a))) 2)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(pow.f64 (/.f64 (pow.f64 (+.f64 b a) 3) (pow.f64 (*.f64 b a) 3)) 1/3)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(pow.f64 (/.f64 (*.f64 b a) (+.f64 b a)) -1)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b a) (*.f64 b a)) 2))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(log.f64 (exp.f64 (/.f64 (+.f64 b a) (*.f64 b a))))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b a) (*.f64 b a)))))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(log.f64 (.f64 (exp.f64 (/.f64 a (.f64 b a))) (exp.f64 (/.f64 1 a))))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b a) (*.f64 b a)) 3))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b a) 3) (pow.f64 (*.f64 b a) 3)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b a) (*.f64 b a))))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b a) (*.f64 b a))))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(exp.f64 (log.f64 (/.f64 (+.f64 b a) (*.f64 b a))))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b a) (.f64 b a))) 1))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (+.f64 b a) (*.f64 b a)))) 1/3))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 b a) (.f64 b a)))) 3))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 b a) (.f64 b a)))) 2))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 1 (/.f64 1 a) (/.f64 a (*.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 1 (/.f64 a (*.f64 b a)) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 b (/.f64 1 (.f64 b a)) (/.f64 a (.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 a (/.f64 1 (*.f64 b a)) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (/.f64 1 (.f64 b a)) b (/.f64 a (.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (/.f64 1 (*.f64 b a)) a (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (.f64 (/.f64 1 (cbrt.f64 (*.f64 b a))) a) (/.f64 1 a))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (.f64 a (/.f64 1 (cbrt.f64 (*.f64 b a)))) (/.f64 1 a))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (/.f64 a (cbrt.f64 (.f64 b a))) (/.f64 1 a))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (.f64 (/.f64 1 (cbrt.f64 (.f64 b a))) b) (/.f64 a (.f64 b a)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (/.f64 (.f64 1 b) (cbrt.f64 (.f64 b a))) (/.f64 a (.f64 b a)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (/.f64 b (cbrt.f64 (.f64 b a))) (/.f64 1 b))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 1 (.f64 b a))) (/.f64 a (*.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (/.f64 1 (.f64 b a))) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (pow.f64 (.f64 b a) -1/2) (.f64 (pow.f64 (*.f64 b a) -1/2) a) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (pow.f64 (.f64 b a) -1/2) (.f64 (pow.f64 (.f64 b a) -1/2) b) (/.f64 a (.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 (.f64 b a))) (/.f64 a (*.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 1 (.f64 b a))) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (/.f64 1 a) 1 (.f64 (/.f64 a (.f64 b a)) 1))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 a)) 2) (cbrt.f64 (/.f64 1 a)) (/.f64 a (*.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a (.f64 b a))) 2) (cbrt.f64 (/.f64 a (.f64 b a))) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (sqrt.f64 (/.f64 1 a)) (sqrt.f64 (/.f64 1 a)) (/.f64 a (*.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (sqrt.f64 (/.f64 a (.f64 b a))) (sqrt.f64 (/.f64 a (.f64 b a))) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (.f64 a (cbrt.f64 (pow.f64 (.f64 b a) -2))) (/.f64 1 (cbrt.f64 (*.f64 b a))) (/.f64 1 a))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (.f64 a (/.f64 1 (cbrt.f64 (*.f64 b a)))) (/.f64 1 a))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (/.f64 a (cbrt.f64 (.f64 b a))) (/.f64 1 a))
(fma.f64 (.f64 a (pow.f64 (.f64 b a) -1/2)) (pow.f64 (*.f64 b a) -1/2) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (.f64 (/.f64 1 (.f64 b a)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (.f64 (/.f64 1 (.f64 b a)) (sqrt.f64 a)) (sqrt.f64 a) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (.f64 (/.f64 1 (.f64 b a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (/.f64 a (*.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (.f64 (/.f64 1 (.f64 b a)) (sqrt.f64 b)) (sqrt.f64 b) (/.f64 a (*.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (.f64 b (cbrt.f64 (pow.f64 (.f64 b a) -2))) (/.f64 1 (cbrt.f64 (.f64 b a))) (/.f64 a (.f64 b a)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (/.f64 (.f64 1 b) (cbrt.f64 (.f64 b a))) (/.f64 a (.f64 b a)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (/.f64 b (cbrt.f64 (.f64 b a))) (/.f64 1 b))
(fma.f64 (.f64 b (pow.f64 (.f64 b a) -1/2)) (pow.f64 (.f64 b a) -1/2) (/.f64 a (.f64 b a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 0 (/.f64 1 (*.f64 b a)))
(/.f64 1 (*.f64 b a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (.f64 b a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (.f64 b a))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 b a))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (.f64 b a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (.f64 b a))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (.f64 b a))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 b a)))) 1)
(/.f64 1 (*.f64 b a))
(.f64 1 (/.f64 1 (.f64 b a)))
(/.f64 1 (*.f64 b a))
(.f64 (/.f64 1 (.f64 b a)) 1)
(/.f64 1 (*.f64 b a))
(.f64 (/.f64 1 (cbrt.f64 (.f64 b a))) (cbrt.f64 (pow.f64 (*.f64 b a) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (/.f64 1 (cbrt.f64 (*.f64 b a))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (cbrt.f64 (.f64 b a)))
(.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (/.f64 1 (cbrt.f64 (*.f64 b a))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 b a) -2)) (cbrt.f64 (.f64 b a)))
(.f64 (pow.f64 (.f64 b a) -1/2) (pow.f64 (*.f64 b a) -1/2))
(/.f64 1 (*.f64 b a))
(.f64 -1 (/.f64 1 (.f64 a (neg.f64 b))))
(/.f64 1 (*.f64 b a))
(*.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 (*.f64 b a))
(*.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 (*.f64 b a))
(.f64 (pow.f64 (cbrt.f64 (.f64 b a)) -2) (/.f64 1 (cbrt.f64 (*.f64 b a))))
(/.f64 1 (*.f64 b a))
(pow.f64 (*.f64 b a) -1)
(/.f64 1 (*.f64 b a))
(pow.f64 (/.f64 1 (*.f64 b a)) 1)
(/.f64 1 (*.f64 b a))
(pow.f64 (pow.f64 (*.f64 b a) 2) -1/2)
(pow.f64 (pow.f64 (*.f64 b a) 3) -1/3)
(.f64 (pow.f64 (pow.f64 (.f64 b a) 3) -1/6) (pow.f64 (pow.f64 (*.f64 b a) 3) -1/6))
(pow.f64 (pow.f64 (*.f64 b a) -2) 1/2)
(/.f64 1 (*.f64 b a))
(pow.f64 (pow.f64 (*.f64 b a) -3) 1/3)
(/.f64 1 (*.f64 b a))
(pow.f64 (cbrt.f64 (*.f64 b a)) -3)
(/.f64 1 (*.f64 b a))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 b a))) 3)
(/.f64 1 (*.f64 b a))
(pow.f64 (sqrt.f64 (*.f64 b a)) -2)
(pow.f64 (pow.f64 (*.f64 b a) -1/2) 2)
(/.f64 1 (*.f64 b a))
(pow.f64 (neg.f64 (*.f64 a (neg.f64 b))) -1)
(/.f64 1 (*.f64 b a))
(sqrt.f64 (pow.f64 (*.f64 b a) -2))
(/.f64 1 (*.f64 b a))
(log.f64 (exp.f64 (/.f64 1 (*.f64 b a))))
(/.f64 1 (*.f64 b a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 b a)))))
(/.f64 1 (*.f64 b a))
(cbrt.f64 (pow.f64 (*.f64 b a) -3))
(/.f64 1 (*.f64 b a))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 b a))))
(/.f64 1 (*.f64 b a))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 b a))))
(/.f64 1 (*.f64 b a))
(exp.f64 (neg.f64 (log.f64 (*.f64 b a))))
(/.f64 1 (*.f64 b a))
(exp.f64 (.f64 (log.f64 (.f64 b a)) -1))
(/.f64 1 (*.f64 b a))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 b a))) 1))
(/.f64 1 (*.f64 b a))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 b a) -3)) 1/3))
(/.f64 1 (*.f64 b a))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (.f64 b a)))) 3))
(/.f64 1 (*.f64 b a))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (*.f64 b a))) 2))
(/.f64 1 (*.f64 b a))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps b))
	13.5b	(/.f64 eps (expm1.f64 (*.f64 eps b)))

Compiler

Compiled 27 to 9 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite37.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`pow1_binary64`
422×	`add-sqr-sqrt_binary64`
416×	`*-un-lft-identity_binary64`
405×	`add-log-exp_binary64`
405×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	96	6
2	1113	6

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

498×	`associate-l_binary64`
460×	`associate-r_binary64`
310×	`fma-def_binary64`
271×	`times-frac_binary64`
260×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	491
1	186	479
2	627	459
3	4013	452
4	7907	452

Stop Event

1×	node limit

Counts

48 → 48

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 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(*.f64 eps b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(+.f64 (pow.f64 (exp.f64 eps) b) -1)
(+.f64 0 (expm1.f64 (*.f64 eps b)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 eps b)))) (cbrt.f64 (exp.f64 (expm1.f64 (.f64 eps b)))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 eps b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 eps b))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 eps b))))))
(-.f64 (pow.f64 (exp.f64 eps) b) 1)
(.f64 (expm1.f64 (.f64 eps b)) 1)
(.f64 1 (expm1.f64 (.f64 eps b)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps b))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) 2) (cbrt.f64 (expm1.f64 (*.f64 eps b))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps b))) (sqrt.f64 (expm1.f64 (*.f64 eps b))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 eps) b) 3) 1) (fma.f64 (pow.f64 (exp.f64 eps) b) (pow.f64 (exp.f64 eps) b) (+.f64 1 (*.f64 (pow.f64 (exp.f64 eps) b) 1))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 eps) b) (pow.f64 (exp.f64 eps) b) -1) (+.f64 (pow.f64 (exp.f64 eps) b) 1))
(pow.f64 (expm1.f64 (*.f64 eps b)) 1)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 eps b)) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps b))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 eps b))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 eps b)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 eps b))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 eps b)) 3))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 eps b))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 eps b))))
(fma.f64 1 (pow.f64 (exp.f64 eps) b) -1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) b)) (cbrt.f64 (pow.f64 (exp.f64 eps) b))) (cbrt.f64 (pow.f64 (exp.f64 eps) b)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) b)) (sqrt.f64 (pow.f64 (exp.f64 eps) b)) -1)

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 (.f64 eps b) (.f64 eps b))))
(.f64 b (+.f64 eps (.f64 b (.f64 eps (.f64 eps 1/2)))))
(.f64 eps (+.f64 b (.f64 (.f64 b (.f64 b 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 (.f64 eps b) (.f64 eps b)) (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 eps (.f64 eps 1/2)) (.f64 b (.f64 1/6 (pow.f64 eps 3))))))
(.f64 b (+.f64 eps (.f64 b (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b (.f64 1/6 (pow.f64 eps 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))))))
(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 (.f64 eps b) (.f64 eps 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 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 eps b (.f64 (.f64 b b) (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b (*.f64 1/6 (pow.f64 eps 3)))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (.f64 b (+.f64 eps (.f64 b (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b (*.f64 1/6 (pow.f64 eps 3))))))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(*.f64 eps b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (.f64 eps b))
(fma.f64 eps b (.f64 1/2 (.f64 (.f64 eps b) (.f64 eps b))))
(.f64 b (+.f64 eps (.f64 b (.f64 eps (.f64 eps 1/2)))))
(.f64 eps (+.f64 b (.f64 (.f64 b (.f64 b 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 (.f64 eps b) (.f64 eps b)) (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 eps (.f64 eps 1/2)) (.f64 b (.f64 1/6 (pow.f64 eps 3))))))
(.f64 b (+.f64 eps (.f64 b (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b (.f64 1/6 (pow.f64 eps 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))))))
(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 (.f64 eps b) (.f64 eps 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 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 eps b (.f64 (.f64 b b) (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b (*.f64 1/6 (pow.f64 eps 3)))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (.f64 b (+.f64 eps (.f64 b (+.f64 (.f64 eps (.f64 eps 1/2)) (.f64 b (*.f64 1/6 (pow.f64 eps 3))))))))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(-.f64 (exp.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(+.f64 (pow.f64 (exp.f64 eps) b) -1)
(expm1.f64 (*.f64 eps b))
(+.f64 0 (expm1.f64 (*.f64 eps b)))
(expm1.f64 (*.f64 eps b))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 eps b)))) (cbrt.f64 (exp.f64 (expm1.f64 (.f64 eps b)))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 eps b))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 eps b)))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 eps b))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 eps b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 eps b))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 eps b))))))
(expm1.f64 (*.f64 eps b))
(-.f64 (pow.f64 (exp.f64 eps) b) 1)
(expm1.f64 (*.f64 eps b))
(.f64 (expm1.f64 (.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(.f64 1 (expm1.f64 (.f64 eps b)))
(expm1.f64 (*.f64 eps b))
(.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps b))) 2))
(expm1.f64 (*.f64 eps b))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) 2) (cbrt.f64 (expm1.f64 (*.f64 eps b))))
(expm1.f64 (*.f64 eps b))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps b))) (sqrt.f64 (expm1.f64 (*.f64 eps b))))
(expm1.f64 (*.f64 eps b))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 eps) b) 3) 1) (fma.f64 (pow.f64 (exp.f64 eps) b) (pow.f64 (exp.f64 eps) b) (+.f64 1 (*.f64 (pow.f64 (exp.f64 eps) b) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) b) 3) -1) (fma.f64 (pow.f64 (exp.f64 eps) b) (pow.f64 (exp.f64 eps) b) (+.f64 1 (pow.f64 (exp.f64 eps) b))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 eps) b) 3)) (+.f64 (+.f64 1 (pow.f64 (exp.f64 eps) b)) (pow.f64 (exp.f64 eps) (*.f64 2 b))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 eps) b) 3)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 eps) b) (+.f64 1 (pow.f64 (exp.f64 eps) b)))))
(/.f64 (expm1.f64 (.f64 3 (.f64 eps b))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 eps) b) (pow.f64 (exp.f64 eps) (+.f64 b b)))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 eps) b) (pow.f64 (exp.f64 eps) b) -1) (+.f64 (pow.f64 (exp.f64 eps) b) 1))
(expm1.f64 (*.f64 eps b))
(pow.f64 (expm1.f64 (*.f64 eps b)) 1)
(expm1.f64 (*.f64 eps b))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 eps b)) 3) 1/3)
(expm1.f64 (*.f64 eps b))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 eps b))) 3)
(expm1.f64 (*.f64 eps b))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 eps b))) 2)
(expm1.f64 (*.f64 eps b))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 eps b)) 2))
(expm1.f64 (*.f64 eps b))
(log.f64 (exp.f64 (expm1.f64 (*.f64 eps b))))
(expm1.f64 (*.f64 eps b))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 eps b)) 3))
(expm1.f64 (*.f64 eps b))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 eps b))))
(expm1.f64 (*.f64 eps b))
(exp.f64 (log.f64 (expm1.f64 (*.f64 eps b))))
(expm1.f64 (*.f64 eps b))
(fma.f64 1 (pow.f64 (exp.f64 eps) b) -1)
(expm1.f64 (*.f64 eps b))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) b)) (cbrt.f64 (pow.f64 (exp.f64 eps) b))) (cbrt.f64 (pow.f64 (exp.f64 eps) b)) -1)
(expm1.f64 (*.f64 eps b))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) b)) (sqrt.f64 (pow.f64 (exp.f64 eps) b)) -1)
(expm1.f64 (*.f64 eps b))

eval120.0ms (0.9%)

Compiler: Compiled 5648 to 2533 computations (55.2% saved)

prune98.0ms (0.7%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	389	5	394
Fresh	2	2	4
Picked	0	1	1
Done	2	7	9
Total	393	15	408

Error

Counts

408 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.0b	(/.f64 (/.f64 (+.f64 a b) b) a)
✓	8.5b	(/.f64 (/.f64 (+.f64 a b) a) b)
▶	38.5b	(/.f64 (/.f64 b a) b)
▶	39.6b	(/.f64 (/.f64 a b) a)
✓	15.7b	(/.f64 (+.f64 b a) (*.f64 b a))
▶	31.2b	(/.f64 (.f64 (/.f64 1 b) (-.f64 (.f64 b b) (.f64 a a))) (.f64 a (-.f64 b a)))
✓	33.5b	(/.f64 1 b)
✓	33.9b	(/.f64 1 a)
✓	45.9b	(.f64 (/.f64 eps (.f64 eps a)) 1)
✓	42.6b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
	36.0b	(*.f64 (-.f64 (+.f64 1 (/.f64 1 a)) 1) 1)
▶	33.4b	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1)
✓	43.1b	(.f64 1 (/.f64 eps (expm1.f64 (.f64 eps b))))
▶	33.1b	(.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))
	51.0b	(.f64 1 (.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 252 to 181 computations (28.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 a (-.f64 b a))
✓	1.6b	(-.f64 (.f64 b b) (.f64 a a))
✓	16.1b	(.f64 (/.f64 1 b) (-.f64 (.f64 b b) (*.f64 a a)))
✓	21.0b	(/.f64 (.f64 (/.f64 1 b) (-.f64 (.f64 b b) (.f64 a a))) (.f64 a (-.f64 b a)))

Compiler

Compiled 58 to 18 computations (69% saved)

series12.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite129.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`prod-diff_binary64`
605×	`fma-def_binary64`
245×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	279	43
2	4484	43

Stop Event

1×	node limit

Counts

4 → 385

Calls

Call 1

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

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

simplify193.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

461×	`fma-neg_binary64`
428×	`associate-/l*_binary64`
423×	`times-frac_binary64`
375×	`associate-l_binary64`
363×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	755	10237
1	1929	8644
2	7858	8642

Stop Event

1×	node limit

Counts

481 → 489

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

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 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 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 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(*.f64 -1 (/.f64 (pow.f64 a 2) b))
(/.f64 (*.f64 a (neg.f64 a)) b)
(*.f64 a (/.f64 (neg.f64 a) b))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(*.f64 -1 (/.f64 (pow.f64 a 2) b))
(/.f64 (*.f64 a (neg.f64 a)) b)
(*.f64 a (/.f64 (neg.f64 a) b))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(*.f64 -1 (/.f64 (pow.f64 a 2) b))
(/.f64 (*.f64 a (neg.f64 a)) b)
(*.f64 a (/.f64 (neg.f64 a) b))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 -1 (/.f64 a (/.f64 b a)) b)
(-.f64 b (*.f64 (/.f64 a b) a))
(*.f64 -1 (pow.f64 a 2))
(*.f64 a (neg.f64 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 (+.f64 b a) (-.f64 b a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 (+.f64 b a) (-.f64 b a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 (+.f64 b a) (-.f64 b a))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 (+.f64 b a) (-.f64 b a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 (+.f64 b a) (-.f64 b a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 (+.f64 b a) (-.f64 b a))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 (+.f64 b a) (-.f64 b a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 (+.f64 b a) (-.f64 b a))
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(fma.f64 (.f64 (+.f64 b a) (sqrt.f64 (-.f64 b a))) (sqrt.f64 (-.f64 b a)) (fma.f64 a (neg.f64 a) (.f64 a a)))
(fma.f64 b b (fma.f64 a (neg.f64 a) (fma.f64 a (neg.f64 a) (*.f64 a a))))
(fma.f64 (+.f64 b a) (-.f64 b a) (.f64 0 (.f64 a a)))
(fma.f64 (.f64 (+.f64 b a) (sqrt.f64 (-.f64 b a))) (sqrt.f64 (-.f64 b a)) (fma.f64 (.f64 a (neg.f64 a)) 1 (*.f64 a a)))
(fma.f64 b b (fma.f64 a (neg.f64 a) (fma.f64 a (neg.f64 a) (*.f64 a a))))
(fma.f64 (+.f64 b a) (-.f64 b a) (.f64 0 (.f64 a a)))
(fma.f64 (.f64 (+.f64 b a) (sqrt.f64 (-.f64 b a))) (sqrt.f64 (-.f64 b a)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))
(fma.f64 (+.f64 b a) (-.f64 b a) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 a 4)) (*.f64 a a)))
(fma.f64 (.f64 (+.f64 b a) (sqrt.f64 (-.f64 b a))) (sqrt.f64 (-.f64 b a)) (.f64 (fma.f64 a (neg.f64 a) (*.f64 a a)) 1))
(fma.f64 b b (fma.f64 a (neg.f64 a) (fma.f64 a (neg.f64 a) (*.f64 a a))))
(fma.f64 (+.f64 b a) (-.f64 b a) (.f64 0 (.f64 a a)))
(fma.f64 (.f64 (+.f64 b a) (sqrt.f64 (-.f64 b a))) (sqrt.f64 (-.f64 b a)) (+.f64 (fma.f64 a (neg.f64 a) (.f64 a a)) (fma.f64 a (neg.f64 a) (*.f64 a a))))
(fma.f64 (+.f64 b a) (-.f64 b a) (.f64 2 (fma.f64 a (neg.f64 a) (.f64 a a))))
(fma.f64 2 (.f64 0 (.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))
(fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (.f64 a (neg.f64 a)))
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 (+.f64 b a) (-.f64 b a))
(fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (.f64 (*.f64 a (neg.f64 a)) 1))
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 (+.f64 b a) (-.f64 b a))
(fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (fma.f64 a (neg.f64 a) (fma.f64 a (neg.f64 a) (.f64 a a))))
(fma.f64 b b (fma.f64 a (neg.f64 a) (fma.f64 a (neg.f64 a) (*.f64 a a))))
(fma.f64 (+.f64 b a) (-.f64 b a) (.f64 0 (.f64 a a)))
(fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (neg.f64 (-.f64 (.f64 a a) (fma.f64 a (neg.f64 a) (*.f64 a a)))))
(fma.f64 b b (fma.f64 a (neg.f64 a) (fma.f64 a (neg.f64 a) (*.f64 a a))))
(fma.f64 (+.f64 b a) (-.f64 b a) (.f64 0 (.f64 a a)))
(+.f64 (.f64 b a) (.f64 a (neg.f64 a)))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (-.f64 b a)))) 1)
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) a) (+.f64 b a))
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (/.f64 (+.f64 b a) a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 (+.f64 b a) a))
(/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 a 3)) a) (fma.f64 b b (.f64 a (+.f64 b a))))
(/.f64 (-.f64 (pow.f64 b 3) (pow.f64 a 3)) (/.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) a))
(.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 a 3)) (fma.f64 b b (.f64 a (+.f64 b a)))) a)
(/.f64 (.f64 a (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 b a))
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (/.f64 (+.f64 b a) a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 (+.f64 b a) a))
(/.f64 (.f64 a (-.f64 (pow.f64 b 3) (pow.f64 a 3))) (fma.f64 b b (.f64 a (+.f64 b a))))
(/.f64 (-.f64 (pow.f64 b 3) (pow.f64 a 3)) (/.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) a))
(.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 a 3)) (fma.f64 b b (.f64 a (+.f64 b a)))) a)
(pow.f64 (*.f64 a (-.f64 b a)) 1)
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(pow.f64 (pow.f64 (*.f64 a (-.f64 b a)) 3) 1/3)
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(pow.f64 (cbrt.f64 (*.f64 a (-.f64 b a))) 3)
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(pow.f64 (sqrt.f64 (*.f64 a (-.f64 b a))) 2)
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(sqrt.f64 (pow.f64 (*.f64 a (-.f64 b a)) 2))
(fabs.f64 (*.f64 a (-.f64 b a)))
(log.f64 (pow.f64 (exp.f64 a) (-.f64 b a)))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (-.f64 b a)))))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(cbrt.f64 (pow.f64 (*.f64 a (-.f64 b a)) 3))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (-.f64 b a) 3)))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 b a) 3) (pow.f64 a 3)))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(expm1.f64 (log1p.f64 (*.f64 a (-.f64 b a))))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(log1p.f64 (expm1.f64 (*.f64 a (-.f64 b a))))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(exp.f64 (log.f64 (*.f64 a (-.f64 b a))))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(exp.f64 (.f64 (log.f64 (.f64 a (-.f64 b a))) 1))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(fma.f64 1 (.f64 b a) (.f64 a (neg.f64 a)))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(fma.f64 a b (*.f64 a (neg.f64 a)))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) a) (.f64 a (neg.f64 a)))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) a) (.f64 a (neg.f64 a)))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(fma.f64 (.f64 (cbrt.f64 (.f64 b a)) (cbrt.f64 (.f64 b a))) (cbrt.f64 (.f64 b a)) (*.f64 a (neg.f64 a)))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(fma.f64 (sqrt.f64 (.f64 b a)) (sqrt.f64 (.f64 b a)) (*.f64 a (neg.f64 a)))
(fma.f64 b a (*.f64 a (neg.f64 a)))
(*.f64 a (-.f64 b a))
(fma.f64 (.f64 (sqrt.f64 b) (sqrt.f64 a)) (.f64 (sqrt.f64 b) (sqrt.f64 a)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 a))) (*.f64 a a))
(fma.f64 (.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 a (neg.f64 a)))
(-.f64 (.f64 b (.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a))) (*.f64 a a))
(fma.f64 (.f64 b (sqrt.f64 a)) (sqrt.f64 a) (.f64 a (neg.f64 a)))
(fma.f64 (.f64 (sqrt.f64 b) (sqrt.f64 a)) (.f64 (sqrt.f64 b) (sqrt.f64 a)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 a))) (*.f64 a a))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.7b	(/.f64 (/.f64 a b) a)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

809×	`log-div_binary64`
687×	`log-prod_binary64`
538×	`associate-/l*_binary64`
515×	`times-frac_binary64`
377×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	272
1	278	269
2	962	269
3	5892	269

Stop Event

1×	node limit

Counts

62 → 42

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.9b	(/.f64 (/.f64 b a) b)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

809×	`log-div_binary64`
687×	`log-prod_binary64`
538×	`associate-/l*_binary64`
515×	`times-frac_binary64`
377×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	272
1	278	269
2	962	269
3	5892	269

Stop Event

1×	node limit

Counts

62 → 42

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite60.0ms (0.4%)

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 b))

Outputs

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

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

700×	`fma-neg_binary64`
472×	`div-sub_binary64`
421×	`cancel-sign-sub-inv_binary64`
387×	`associate-l_binary64`
333×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	638
1	218	536
2	700	431
3	4268	421

Stop Event

1×	node limit

Counts

41 → 44

Calls

Call 1

Inputs
(/.f64 1 b)
(*.f64 -1/2 eps)
(*.f64 -1/2 eps)
(/.f64 1 b)
(*.f64 -1/2 eps)
(*.f64 -1/2 eps)
(-.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 b))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (.f64 -1/2 eps) (/.f64 1 b))) (/.f64 (pow.f64 b -2) (-.f64 (*.f64 -1/2 eps) (/.f64 1 b))))
(*.f64 1 (fma.f64 -1/2 eps (/.f64 1 b)))
(*.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))) 2) (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))) (sqrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))))
(.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (pow.f64 b -3)) (/.f64 1 (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 b -2) (/.f64 (.f64 -1/2 eps) b)))))
(.f64 (-.f64 (pow.f64 (.f64 -1/2 eps) 2) (pow.f64 b -2)) (/.f64 1 (-.f64 (*.f64 -1/2 eps) (/.f64 1 b))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 b -2) (/.f64 (.f64 -1/2 eps) b))) (+.f64 (*.f64 -1/8 (pow.f64 eps 3)) (pow.f64 b -3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/2 eps) (/.f64 1 b)) (-.f64 (pow.f64 (.f64 -1/2 eps) 2) (pow.f64 b -2))))
(/.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (pow.f64 b -3)) (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 b -2) (/.f64 (*.f64 -1/2 eps) b))))
(/.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 (.f64 -1/2 eps) 2) (/.f64 (*.f64 -1/2 eps) b))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 eps) 2) (pow.f64 b -2)) (-.f64 (.f64 -1/2 eps) (/.f64 1 b)))
(/.f64 (neg.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (pow.f64 b -3))) (neg.f64 (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 b -2) (/.f64 (*.f64 -1/2 eps) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 -1/2 eps) 2) (pow.f64 b -2))) (neg.f64 (-.f64 (.f64 -1/2 eps) (/.f64 1 b))))
(/.f64 (-.f64 (pow.f64 b -2) (pow.f64 (.f64 -1/2 eps) 2)) (-.f64 (/.f64 1 b) (.f64 -1/2 eps)))
(pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 eps (/.f64 1 b))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 b))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 eps (/.f64 1 b))))
(exp.f64 (log.f64 (fma.f64 -1/2 eps (/.f64 1 b))))
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 eps -1/2 (/.f64 1 b))
(fma.f64 1 (*.f64 -1/2 eps) (/.f64 1 b))
(fma.f64 1 (/.f64 1 b) (*.f64 -1/2 eps))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (*.f64 -1/2 eps))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 eps)) 2) (cbrt.f64 (.f64 -1/2 eps)) (/.f64 1 b))
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (*.f64 -1/2 eps))
(fma.f64 (sqrt.f64 (.f64 -1/2 eps)) (sqrt.f64 (.f64 -1/2 eps)) (/.f64 1 b))

Outputs
(/.f64 1 b)
(*.f64 -1/2 eps)
(*.f64 -1/2 eps)
(/.f64 1 b)
(*.f64 -1/2 eps)
(*.f64 -1/2 eps)
(-.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 b))) 1)
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(-.f64 (/.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (.f64 -1/2 eps) (/.f64 1 b))) (/.f64 (pow.f64 b -2) (-.f64 (*.f64 -1/2 eps) (/.f64 1 b))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(*.f64 1 (fma.f64 -1/2 eps (/.f64 1 b)))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(*.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1)
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(*.f64 (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))) 2))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))) 2) (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(*.f64 (sqrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))) (sqrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (pow.f64 b -3)) (/.f64 1 (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 b -2) (/.f64 (.f64 -1/2 eps) b)))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) 1) (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 b -2) (/.f64 -1/2 (/.f64 b eps)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (pow.f64 b -2) (/.f64 (*.f64 eps 1/2) b))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (.f64 eps (-.f64 (.f64 eps 1/4) (/.f64 -1/2 b)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (*.f64 eps (fma.f64 eps 1/4 (/.f64 1/2 b)))))
(.f64 (-.f64 (pow.f64 (.f64 -1/2 eps) 2) (pow.f64 b -2)) (/.f64 1 (-.f64 (*.f64 -1/2 eps) (/.f64 1 b))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 b -2) (/.f64 (.f64 -1/2 eps) b))) (+.f64 (*.f64 -1/8 (pow.f64 eps 3)) (pow.f64 b -3))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) 1) (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 b -2) (/.f64 -1/2 (/.f64 b eps)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (pow.f64 b -2) (/.f64 (*.f64 eps 1/2) b))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (.f64 eps (-.f64 (.f64 eps 1/4) (/.f64 -1/2 b)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (*.f64 eps (fma.f64 eps 1/4 (/.f64 1/2 b)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/2 eps) (/.f64 1 b)) (-.f64 (pow.f64 (.f64 -1/2 eps) 2) (pow.f64 b -2))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(/.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (pow.f64 b -3)) (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 b -2) (/.f64 (*.f64 -1/2 eps) b))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) 1) (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 b -2) (/.f64 -1/2 (/.f64 b eps)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (pow.f64 b -2) (/.f64 (*.f64 eps 1/2) b))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (.f64 eps (-.f64 (.f64 eps 1/4) (/.f64 -1/2 b)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (*.f64 eps (fma.f64 eps 1/4 (/.f64 1/2 b)))))
(/.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 (.f64 -1/2 eps) 2) (/.f64 (*.f64 -1/2 eps) b))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) 1) (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 b -2) (/.f64 -1/2 (/.f64 b eps)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (pow.f64 b -2) (/.f64 (*.f64 eps 1/2) b))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (.f64 eps (-.f64 (.f64 eps 1/4) (/.f64 -1/2 b)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (*.f64 eps (fma.f64 eps 1/4 (/.f64 1/2 b)))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 eps) 2) (pow.f64 b -2)) (-.f64 (.f64 -1/2 eps) (/.f64 1 b)))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(/.f64 (neg.f64 (+.f64 (.f64 -1/8 (pow.f64 eps 3)) (pow.f64 b -3))) (neg.f64 (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 b -2) (/.f64 (*.f64 -1/2 eps) b)))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) 1) (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 b -2) (/.f64 -1/2 (/.f64 b eps)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (pow.f64 b -2) (/.f64 (*.f64 eps 1/2) b))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (.f64 eps (-.f64 (.f64 eps 1/4) (/.f64 -1/2 b)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (*.f64 eps (fma.f64 eps 1/4 (/.f64 1/2 b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 -1/2 eps) 2) (pow.f64 b -2))) (neg.f64 (-.f64 (.f64 -1/2 eps) (/.f64 1 b))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(/.f64 (-.f64 (pow.f64 b -2) (pow.f64 (.f64 -1/2 eps) 2)) (-.f64 (/.f64 1 b) (.f64 -1/2 eps)))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1)
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(pow.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))) 3)
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(pow.f64 (sqrt.f64 (fma.f64 -1/2 eps (/.f64 1 b))) 2)
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 2))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(log.f64 (exp.f64 (fma.f64 -1/2 eps (/.f64 1 b))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 3))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 b))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 eps (/.f64 1 b))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(exp.f64 (log.f64 (fma.f64 -1/2 eps (/.f64 1 b))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 -1/2 eps (/.f64 1 b))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 eps -1/2 (/.f64 1 b))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 1 (*.f64 -1/2 eps) (/.f64 1 b))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 1 (/.f64 1 b) (*.f64 -1/2 eps))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (*.f64 -1/2 eps))
(fma.f64 -1/2 eps (/.f64 (cbrt.f64 (pow.f64 b -2)) (cbrt.f64 b)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 eps)) 2) (cbrt.f64 (.f64 -1/2 eps)) (/.f64 1 b))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (*.f64 -1/2 eps))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))
(fma.f64 (sqrt.f64 (.f64 -1/2 eps)) (sqrt.f64 (.f64 -1/2 eps)) (/.f64 1 b))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 b)) 0)
(fma.f64 -1/2 eps (/.f64 1 b))

localize11.0ms (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 29 to 21 computations (27.6% saved)

series3.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite42.0ms (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))))))

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

700×	`fma-neg_binary64`
472×	`div-sub_binary64`
421×	`cancel-sign-sub-inv_binary64`
387×	`associate-l_binary64`
333×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	638
1	218	536
2	700	431
3	4268	421

Stop Event

1×	node limit

Counts

41 → 44

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

Outputs
(/.f64 1 a)
(*.f64 -1/2 eps)
(*.f64 -1/2 eps)
(/.f64 1 a)
(*.f64 -1/2 eps)
(*.f64 -1/2 eps)
(-.f64 (+.f64 1 (fma.f64 -1/2 eps (/.f64 1 a))) 1)
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(-.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))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(*.f64 1 (fma.f64 -1/2 eps (/.f64 1 a)))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(*.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1)
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(*.f64 (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 a))) 2))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 a))) 2) (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 a))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(*.f64 (sqrt.f64 (fma.f64 -1/2 eps (/.f64 1 a))) (sqrt.f64 (fma.f64 -1/2 eps (/.f64 1 a))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(.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)))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) 1) (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 a -2) (/.f64 -1/2 (/.f64 a eps)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (pow.f64 a -2) (/.f64 (*.f64 eps 1/2) a))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (.f64 eps (-.f64 (.f64 eps 1/4) (/.f64 -1/2 a)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (*.f64 eps (fma.f64 eps 1/4 (/.f64 1/2 a)))))
(.f64 (-.f64 (pow.f64 (.f64 -1/2 eps) 2) (pow.f64 a -2)) (/.f64 1 (-.f64 (*.f64 -1/2 eps) (/.f64 1 a))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(/.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))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) 1) (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 a -2) (/.f64 -1/2 (/.f64 a eps)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (pow.f64 a -2) (/.f64 (*.f64 eps 1/2) a))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (.f64 eps (-.f64 (.f64 eps 1/4) (/.f64 -1/2 a)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (*.f64 eps (fma.f64 eps 1/4 (/.f64 1/2 a)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/2 eps) (/.f64 1 a)) (-.f64 (pow.f64 (.f64 -1/2 eps) 2) (pow.f64 a -2))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(/.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))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) 1) (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 a -2) (/.f64 -1/2 (/.f64 a eps)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (pow.f64 a -2) (/.f64 (*.f64 eps 1/2) a))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (.f64 eps (-.f64 (.f64 eps 1/4) (/.f64 -1/2 a)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (*.f64 eps (fma.f64 eps 1/4 (/.f64 1/2 a)))))
(/.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))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) 1) (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 a -2) (/.f64 -1/2 (/.f64 a eps)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (pow.f64 a -2) (/.f64 (*.f64 eps 1/2) a))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (.f64 eps (-.f64 (.f64 eps 1/4) (/.f64 -1/2 a)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (*.f64 eps (fma.f64 eps 1/4 (/.f64 1/2 a)))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 eps) 2) (pow.f64 a -2)) (-.f64 (.f64 -1/2 eps) (/.f64 1 a)))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(/.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)))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) 1) (+.f64 (pow.f64 (.f64 -1/2 eps) 2) (-.f64 (pow.f64 a -2) (/.f64 -1/2 (/.f64 a eps)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (.f64 (.f64 eps eps) 1/4) (+.f64 (pow.f64 a -2) (/.f64 (*.f64 eps 1/2) a))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (.f64 eps (-.f64 (.f64 eps 1/4) (/.f64 -1/2 a)))))
(/.f64 (fma.f64 -1/8 (pow.f64 eps 3) (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (*.f64 eps (fma.f64 eps 1/4 (/.f64 1/2 a)))))
(/.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))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (.f64 -1/2 eps) 2)) (-.f64 (/.f64 1 a) (.f64 -1/2 eps)))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1)
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(pow.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 eps (/.f64 1 a))) 3)
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(pow.f64 (sqrt.f64 (fma.f64 -1/2 eps (/.f64 1 a))) 2)
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 2))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(log.f64 (exp.f64 (fma.f64 -1/2 eps (/.f64 1 a))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 3))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 eps (/.f64 1 a))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 eps (/.f64 1 a))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(exp.f64 (log.f64 (fma.f64 -1/2 eps (/.f64 1 a))))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(fma.f64 -1/2 eps (/.f64 1 a))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 eps -1/2 (/.f64 1 a))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(fma.f64 1 (*.f64 -1/2 eps) (/.f64 1 a))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(fma.f64 1 (/.f64 1 a) (*.f64 -1/2 eps))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(fma.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 1 (cbrt.f64 a)) (*.f64 -1/2 eps))
(fma.f64 -1/2 eps (/.f64 (cbrt.f64 (pow.f64 a -2)) (cbrt.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 eps)) 2) (cbrt.f64 (.f64 -1/2 eps)) (/.f64 1 a))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(fma.f64 (pow.f64 a -1/2) (pow.f64 a -1/2) (*.f64 -1/2 eps))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))
(fma.f64 (sqrt.f64 (.f64 -1/2 eps)) (sqrt.f64 (.f64 -1/2 eps)) (/.f64 1 a))
(+.f64 1 (-.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 1))
(+.f64 (fma.f64 -1/2 eps (/.f64 1 a)) 0)
(fma.f64 -1/2 eps (/.f64 1 a))

eval314.0ms (2.2%)

Compiler: Compiled 15837 to 5483 computations (65.4% saved)

prune183.0ms (1.3%)

Pruning

18 alts after pruning (6 fresh and 12 done)

	Pruned	Kept	Total
New	656	5	661
Fresh	1	1	2
Picked	0	1	1
Done	1	11	12
Total	658	18	676

Error

Counts

676 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	31.2b	(/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) b) (*.f64 a (-.f64 b a)))
✓	10.0b	(/.f64 (/.f64 (+.f64 a b) b) a)
✓	8.5b	(/.f64 (/.f64 (+.f64 a b) a) b)
✓	38.5b	(/.f64 (/.f64 b a) b)
✓	39.6b	(/.f64 (/.f64 a b) a)
✓	15.7b	(/.f64 (+.f64 b a) (*.f64 b a))
✓	33.5b	(/.f64 1 b)
✓	33.9b	(/.f64 1 a)
	40.0b	(-.f64 (+.f64 1 (/.f64 b (*.f64 b a))) 1)
✓	45.9b	(.f64 (/.f64 eps (.f64 eps a)) 1)
✓	42.6b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
	38.6b	(*.f64 (/.f64 b a) (/.f64 1 b))
✓	33.4b	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1)
	62.0b	(.f64 (.f64 -1/2 eps) 1)
	39.4b	(.f64 a (/.f64 1 (.f64 a b)))
✓	43.1b	(.f64 1 (/.f64 eps (expm1.f64 (.f64 eps b))))
✓	33.1b	(.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))
	51.0b	(.f64 1 (.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 189 to 133 computations (29.6% saved)

regimes230.0ms (1.6%)

Counts

28 → 4

Calls

Call 1

Inputs
(/.f64 1 a)
(/.f64 1 b)
(.f64 (.f64 -1/2 eps) 1)
(/.f64 (/.f64 a b) a)
(/.f64 (/.f64 b a) b)
(.f64 a (/.f64 1 (.f64 a b)))
(*.f64 (/.f64 b a) (/.f64 1 b))
(.f64 (/.f64 eps (.f64 eps a)) 1)
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 (/.f64 (+.f64 a b) a) b)
(/.f64 (/.f64 (+.f64 a b) b) a)
(.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))
(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 1 a)) 1) 1)
(.f64 (/.f64 1 (.f64 b a)) (+.f64 b a))
(-.f64 (+.f64 1 (/.f64 b (*.f64 b a))) 1)
(-.f64 (+.f64 1 (/.f64 (+.f64 b a) (*.f64 b a))) 1)
(/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) b) (*.f64 a (-.f64 b a)))
(/.f64 (.f64 (/.f64 1 b) (-.f64 (.f64 b b) (.f64 a a))) (.f64 a (-.f64 b a)))
(.f64 1 (/.f64 eps (expm1.f64 (.f64 eps b))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
(.f64 (/.f64 (+.f64 b a) a) (/.f64 eps (expm1.f64 (.f64 eps b))))
(.f64 1 (.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.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 (/.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 (.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))) (expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))

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

Calls

4 calls:

93.0ms	eps
87.0ms	b
32.0ms	a
11.0ms	(/.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
4.0b	2	`a`
1.9b	4	`b`
3.1b	5	`eps`
2.6b	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 333 to 152 computations (54.4% saved)

bsearch192.0ms (1.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
77.0ms	1.8045272449341913e+225	1.6256172097592643e+227
64.0ms	1.0693927415834973e-99	3.595369298763544e-99
50.0ms	-160797898218991460.0	-97354388870482930.0

Results

108.0ms	111×	body	2048	valid
37.0ms	75×	body	1024	valid
12.0ms	30×	body	1024	unsamplable
9.0ms	29×	body	512	valid
7.0ms	38×	body	256	valid
5.0ms	8×	body	2048	unsamplable
4.0ms	23×	body	256	unsamplable
4.0ms	3×	body	4096	valid
2.0ms	9×	body	512	unsamplable

Compiler

Compiled 412 to 274 computations (33.5% saved)

regimes109.0ms (0.8%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	b
39.0ms	eps
20.0ms	a

Results

Error	Segments	Branch
4.0b	2	`a`
2.9b	3	`b`
5.0b	4	`eps`

Compiler

Compiled 182 to 97 computations (46.7% saved)

bsearch121.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
70.0ms	1.8045272449341913e+225	1.6256172097592643e+227
50.0ms	1.0693927415834973e-99	3.595369298763544e-99

Results

54.0ms	65×	body	2048	valid
35.0ms	73×	body	1024	valid
8.0ms	19×	body	1024	unsamplable
6.0ms	21×	body	512	valid
6.0ms	6×	body	2048	unsamplable
4.0ms	32×	body	256	valid
2.0ms	8×	body	512	unsamplable
2.0ms	12×	body	256	unsamplable
1.0ms	1×	body	4096	valid

Compiler

Compiled 304 to 206 computations (32.2% saved)

regimes82.0ms (0.6%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	eps
20.0ms	a
20.0ms	b

Results

Error	Segments	Branch
4.0b	2	`a`
3.9b	2	`b`
5.0b	4	`eps`

Compiler

Compiled 174 to 93 computations (46.6% saved)

bsearch60.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
59.0ms	1.0693927415834973e-99	3.595369298763544e-99

Results

30.0ms	34×	body	2048	valid
24.0ms	38×	body	1024	valid
2.0ms	7×	body	512	valid
1.0ms	1×	body	4096	valid
0.0ms	2×	body	256	unsamplable

Compiler

Compiled 143 to 94 computations (34.3% saved)

regimes34.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	b
11.0ms	a
7.0ms	eps

Results

Error	Segments	Branch
5.3b	2	`a`
4.6b	2	`b`
8.5b	1	`eps`

Compiler

Compiled 71 to 41 computations (42.3% saved)

bsearch61.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
61.0ms	2.2255980811613346e+118	1.280829554644532e+120

Results

31.0ms	33×	body	2048	valid
18.0ms	39×	body	1024	valid
4.0ms	14×	body	512	valid
4.0ms	26×	body	256	valid
1.0ms	3×	body	512	unsamplable
1.0ms	2×	body	1024	unsamplable
1.0ms	1×	body	2048	unsamplable
0.0ms	2×	body	256	unsamplable

Compiler

Compiled 159 to 115 computations (27.7% saved)

regimes42.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	b
14.0ms	a
6.0ms	eps

Results

Error	Segments	Branch
11.4b	2	`a`
8.6b	3	`b`
15.7b	1	`eps`

Compiler

Compiled 64 to 38 computations (40.6% saved)

bsearch153.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	8.258682345802535e+165	7.778583351840672e+173
80.0ms	5.2858557432126144e-138	1.3526773949140703e-135

Results

82.0ms	95×	body	2048	valid
37.0ms	82×	body	1024	valid
8.0ms	30×	body	512	valid
8.0ms	19×	body	1024	unsamplable
7.0ms	48×	body	256	valid
2.0ms	8×	body	512	unsamplable
2.0ms	15×	body	256	unsamplable
2.0ms	3×	body	2048	unsamplable
1.0ms	1×	body	4096	valid

Compiler

Compiled 321 to 232 computations (27.7% saved)

regimes69.0ms (0.5%)

Accuracy

Total -50.7b remaining (-411.3%)

Threshold costs -50.7b (-411.3%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	eps
14.0ms	a
10.0ms	b

Results

Error	Segments	Branch
14.8b	2	`a`
12.3b	2	`b`
20.8b	8	`eps`

Compiler

Compiled 57 to 35 computations (38.6% saved)

bsearch72.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
71.0ms	3.595369298763544e-99	8.690376314532956e-98

Results

38.0ms	45×	body	2048	valid
28.0ms	57×	body	1024	valid
4.0ms	10×	body	512	valid
0.0ms	1×	body	256	unsamplable

Compiler

Compiled 131 to 108 computations (17.6% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	200
1	63	200

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -160000000000000000) (.f64 (/.f64 (+.f64 b a) a) (/.f64 eps (expm1.f64 (.f64 eps b)))) (if (<=.f64 b 8126663778006361/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (/.f64 (/.f64 (+.f64 a b) a) b) (if (<=.f64 b 154999999999999993348644301470101831054044478609314033001240440304035875533929236601117326685763518486895701444871494323576325088956297677925069757390213020099423060825205327159011204689193659874503788296978889047822017784446976) (/.f64 (/.f64 (+.f64 a b) b) a) (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1))))
(if (<=.f64 b 2154797213865323/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (/.f64 (/.f64 (+.f64 a b) a) b) (if (<=.f64 b 119999999999999990099472838449289862662882282773546263116782454459612675705239883629106952262582626596865607061433523529364795940708420913085728102329632397251849673598460130744193745836909647987790506398917975921016689620156416) (/.f64 (/.f64 (+.f64 a b) b) a) (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)))
(if (<=.f64 b 2154797213865323/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (/.f64 (/.f64 (+.f64 a b) a) b) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 105999999999999994440119720838678057840662007493952491733149237301640190344124185818883365969851986508978434304005636096) (/.f64 (/.f64 (+.f64 a b) a) b) (/.f64 1 a))
(if (<=.f64 b 4818430974823121/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128) (/.f64 1 b) (if (<=.f64 b 95000000000000002706682226327093938689719031857901322743025600826431321200110294539883563260918612926893599607880107806342602091316154312803526983423529367745728233621946368) (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 1 a)))
(if (<=.f64 b 3270674342474151/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)

Outputs
(if (<=.f64 b -160000000000000000) (.f64 (/.f64 (+.f64 b a) a) (/.f64 eps (expm1.f64 (.f64 eps b)))) (if (<=.f64 b 8126663778006361/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (/.f64 (/.f64 (+.f64 a b) a) b) (if (<=.f64 b 154999999999999993348644301470101831054044478609314033001240440304035875533929236601117326685763518486895701444871494323576325088956297677925069757390213020099423060825205327159011204689193659874503788296978889047822017784446976) (/.f64 (/.f64 (+.f64 a b) b) a) (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1))))
(if (<=.f64 b -160000000000000000) (.f64 (/.f64 (+.f64 b a) a) (/.f64 eps (expm1.f64 (.f64 b eps)))) (if (<=.f64 b 8126663778006361/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (/.f64 (/.f64 (+.f64 b a) a) b) (if (<=.f64 b 154999999999999993348644301470101831054044478609314033001240440304035875533929236601117326685763518486895701444871494323576325088956297677925069757390213020099423060825205327159011204689193659874503788296978889047822017784446976) (/.f64 (/.f64 (+.f64 b a) b) a) (/.f64 eps (expm1.f64 (*.f64 a eps))))))
(if (<=.f64 b 2154797213865323/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (/.f64 (/.f64 (+.f64 a b) a) b) (if (<=.f64 b 119999999999999990099472838449289862662882282773546263116782454459612675705239883629106952262582626596865607061433523529364795940708420913085728102329632397251849673598460130744193745836909647987790506398917975921016689620156416) (/.f64 (/.f64 (+.f64 a b) b) a) (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)))
(if (<=.f64 b 2154797213865323/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (/.f64 (/.f64 (+.f64 b a) a) b) (if (<=.f64 b 119999999999999990099472838449289862662882282773546263116782454459612675705239883629106952262582626596865607061433523529364795940708420913085728102329632397251849673598460130744193745836909647987790506398917975921016689620156416) (/.f64 (/.f64 (+.f64 b a) b) a) (/.f64 eps (expm1.f64 (*.f64 a eps)))))
(if (<=.f64 b 2154797213865323/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (/.f64 (/.f64 (+.f64 a b) a) b) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 2154797213865323/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (/.f64 (/.f64 (+.f64 b a) a) b) (/.f64 (/.f64 (+.f64 b a) b) a))
(if (<=.f64 b 105999999999999994440119720838678057840662007493952491733149237301640190344124185818883365969851986508978434304005636096) (/.f64 (/.f64 (+.f64 a b) a) b) (/.f64 1 a))
(if (<=.f64 b 105999999999999994440119720838678057840662007493952491733149237301640190344124185818883365969851986508978434304005636096) (/.f64 (/.f64 (+.f64 b a) a) b) (/.f64 1 a))
(if (<=.f64 b 4818430974823121/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128) (/.f64 1 b) (if (<=.f64 b 95000000000000002706682226327093938689719031857901322743025600826431321200110294539883563260918612926893599607880107806342602091316154312803526983423529367745728233621946368) (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 1 a)))
(if (<=.f64 b 3270674342474151/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)

Compiler

Compiled 159 to 94 computations (40.9% saved)

soundness443.0ms (3.1%)

Algorithm

7×	egg-herbie

Rules

986×	`times-frac_binary64`
986×	`times-frac_binary64`
986×	`times-frac_binary64`
986×	`times-frac_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	579	6569
1	1755	6435
2	7259	6409
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28
0	526	7154
1	1666	6355
2	6455	6312
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28
0	621	7442
1	1941	7247
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
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 888 to 590 computations (33.6% saved)

end106.0ms (0.7%)

Compiler: Compiled 235 to 107 computations (54.5% saved)