Details

analyze559.0ms (3.8%)

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)

sample7.4s (50.7%)

Results

4.7s	4183×	body	2048	valid
1.6s	2466×	body	1024	valid
249.0ms	760×	body	512	valid
217.0ms	510×	body	1024	unsamplable
199.0ms	315×	body	2048	unsamplable
139.0ms	832×	body	256	valid
120.0ms	749×	body	256	unsamplable
73.0ms	231×	body	512	unsamplable
18.0ms	15×	body	4096	valid
4.0ms	5×	body	2048	infinite

Bogosity

preprocess55.0ms (0.4%)

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)

simplify38.0ms (0.3%)

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

25.6b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.8b	(.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (/.f64 eps (expm1.f64 (.f64 eps b))))
▶	25.9b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
▶	38.1b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Status

Error

Program

▶

25.8b

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

▶

25.9b

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

▶

38.1b

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

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize45.0ms (0.3%)

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)))
✓	15.6b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	24.9b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 77 to 13 computations (83.1% saved)

series42.0ms (0.3%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
4.0ms	eps	@	0	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
3.0ms	a	@	0	(expm1.f64 (*.f64 eps (+.f64 a b)))
3.0ms	a	@	inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	eps	@	-inf	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (/.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))) (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) 1) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 2)) (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) eps) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) eps) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 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simplify180.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

539×	`associate-r_binary64`
439×	`associate-l_binary64`
387×	`fma-def_binary64`
294×	`fma-neg_binary64`
291×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	594	8799
1	1745	8605
2	7727	8571

Stop Event

1×	node limit

Counts

264 → 303

Calls

Call 1

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

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	4.3b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
✓	11.1b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))
✓	14.6b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series38.0ms (0.3%)

Counts

3 → 96

Calls

24 calls:

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

rewrite71.0ms (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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 eps (expm1.f64 (.f64 eps a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (/.f64 1 (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 eps (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 1 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) 2) (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 eps) (/.f64 1 (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (expm1.f64 (.f64 eps a))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (/.f64 eps (cbrt.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 eps a)))) (/.f64 eps (sqrt.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (expm1.f64 (.f64 eps a)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (.f64 eps a)) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (expm1.f64 (.f64 eps a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (expm1.f64 (.f64 eps a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 eps (expm1.f64 (.f64 eps a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (expm1.f64 (*.f64 eps a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.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 (/.f64 (pow.f64 (exp.f64 (+.f64 a b)) eps) (expm1.f64 (.f64 eps b))) (/.f64 1 (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 1 (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps 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Outputs

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#<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))) (#(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))))) (#(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))))))))))

simplify154.0ms (1.1%)

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))
(/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1) (-.f64 (exp.f64 (.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 -1 a)))) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 eps b))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (.f64 eps b)) (exp.f64 (.f64 eps a))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 eps (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/6 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1))) (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1))))))) b) (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (.f64 eps b)) (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (.f64 eps b))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (.f64 eps (-.f64 (.f64 1/2 (.f64 eps (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/6 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1))) (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1))))))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 2) (-.f64 (exp.f64 (.f64 eps a)) 1))) (.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (exp.f64 (.f64 eps a)) (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1)))))))) (pow.f64 b 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 eps (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/6 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1))) (.f64 1/2 (.f64 eps (-.f64 (exp.f64 (.f64 eps a)) (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1))))))) b) (+.f64 (/.f64 (exp.f64 (.f64 eps a)) (.f64 eps b)) (exp.f64 (.f64 eps a))))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 eps a)) 1)) (/.f64 1 (*.f64 eps 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 (-.f64 a (.f64 -1 b)) eps)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
(/.f64 (-.f64 (exp.f64 (.f64 (-.f64 a (.f64 -1 b)) eps)) 1) (-.f64 (exp.f64 (*.f64 eps b)) 1))
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(.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)))))
(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))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))))
(-.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))))))
(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))
(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))))))

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	4.1b	(.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (/.f64 eps (expm1.f64 (.f64 eps b))))
✓	10.8b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))
✓	14.9b	(/.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
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	@	0	(.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (/.f64 eps (expm1.f64 (.f64 eps b))))
1.0ms	eps	@	inf	(/.f64 eps (expm1.f64 (*.f64 eps b)))
1.0ms	eps	@	-inf	(/.f64 eps (expm1.f64 (*.f64 eps b)))

rewrite73.0ms (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 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 log1p.f64 (expm1.f64 (/.f64 eps (expm1.f64 (*.f64 eps b)))))))))

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

((#(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 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))))) (#(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))))))))))

simplify146.0ms (1%)

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 → 233

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)))))
(exp.f64 (log.f64 (/.f64 eps (expm1.f64 (*.f64 eps b)))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (expm1.f64 (.f64 eps b)))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (expm1.f64 (*.f64 eps b)))))
(-.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)))))
(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))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 b a))) (expm1.f64 (.f64 eps a)))))
(-.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))))))
(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))
(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))))))

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 (/.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)))))
(/.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 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)))))
(/.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 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)))))
(/.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 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)))))
(/.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 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)))))
(/.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 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)))))
(/.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 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)))))
(/.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 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)))))
(/.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 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)))))
(/.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))))
(.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 (/.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)))))
(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)))))
(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)))))
(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)))))

eval552.0ms (3.8%)

Compiler: Compiled 38162 to 12519 computations (67.2% saved)

prune333.0ms (2.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	904	9	913
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	907	9	916

Error

Counts

916 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.8b	(/.f64 (+.f64 b a) (*.f64 b a))
	33.9b	(/.f64 1 b)
▶	31.4b	(/.f64 1 a)
▶	28.2b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
	41.9b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) 1)
	30.6b	(.f64 eps (/.f64 (+.f64 a b) (.f64 a (*.f64 b eps))))
▶	44.5b	(.f64 eps (/.f64 1 (.f64 eps a)))
	56.7b	(.f64 eps (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 eps b)) (-.f64 (exp.f64 (.f64 eps b)) 1)) (/.f64 1 (.f64 eps a))) 1/2))
▶	44.5b	(.f64 1 (/.f64 eps (expm1.f64 (.f64 eps b))))

Compiler

Compiled 214 to 142 computations (33.6% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.3b	(/.f64 (+.f64 b a) (*.f64 b a))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite82.0ms (0.6%)

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 exp.f64 (log.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))))))))

simplify50.0ms (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))))
(exp.f64 (log.f64 (/.f64 (+.f64 b a) (*.f64 b a))))
(log1p.f64 (expm1.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))
(exp.f64 (log.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))

localize4.0ms (0%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 eps a))
✓	15.6b	(.f64 eps (/.f64 1 (.f64 eps a)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series12.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	a	@	0	(/.f64 1 (*.f64 eps a))
1.0ms	a	@	0	(.f64 eps (/.f64 1 (.f64 eps a)))
1.0ms	eps	@	0	(/.f64 1 (*.f64 eps a))
0.0ms	eps	@	0	(.f64 eps (/.f64 1 (.f64 eps a)))
0.0ms	a	@	-inf	(/.f64 1 (*.f64 eps a))

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

762×	`log-div_binary64`
508×	`unswap-sqr_binary64`
442×	`associate-/l*_binary64`
423×	`fma-neg_binary64`
412×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	521
1	287	452
2	1129	389
3	6698	389

Stop Event

1×	node limit

Counts

75 → 58

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps b))
	14.9b	(/.f64 eps (expm1.f64 (*.f64 eps b)))

Compiler

Compiled 27 to 9 computations (66.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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))

rewrite34.0ms (0.2%)

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

simplify50.0ms (0.3%)

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	7913	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))
(exp.f64 (log.f64 (expm1.f64 (*.f64 eps b))))
(log1p.f64 (expm1.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))
(exp.f64 (log.f64 (expm1.f64 (*.f64 eps b))))
(expm1.f64 (*.f64 eps b))
(log1p.f64 (expm1.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))

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps a))
✓	0.0b	(/.f64 (+.f64 a b) b)
✓	5.0b	(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (+.f64 a b) b))
	14.6b	(/.f64 eps (expm1.f64 (*.f64 eps a)))

Compiler

Compiled 39 to 9 computations (76.9% saved)

series12.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`log-prod_binary64`
491×	`prod-diff_binary64`
318×	`pow2_binary64`
234×	`fma-def_binary64`
226×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	225	31
2	3492	31

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

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

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

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

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

523×	`log-prod_binary64`
398×	`cube-prod_binary64`
387×	`times-frac_binary64`
251×	`associate-r_binary64`
219×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	377	3190
1	1030	3087
2	5041	3087

Stop Event

1×	node limit

Counts

212 → 195

Calls

Call 1

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

eval182.0ms (1.2%)

Compiler: Compiled 7897 to 3079 computations (61% saved)

prune96.0ms (0.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	452	8	460
Fresh	3	1	4
Picked	1	0	1
Done	1	3	4
Total	457	12	469

Error

Counts

469 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	28.2b	(/.f64 (/.f64 (+.f64 a b) b) (/.f64 (expm1.f64 (*.f64 eps a)) eps))
▶	9.4b	(/.f64 (/.f64 (+.f64 a b) b) a)
	33.7b	(/.f64 (/.f64 eps a) eps)
✓	12.8b	(/.f64 (+.f64 b a) (*.f64 b a))
▶	41.9b	(/.f64 eps (expm1.f64 (*.f64 a eps)))
▶	33.9b	(/.f64 1 b)
✓	31.4b	(/.f64 1 a)
▶	2.9b	(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
▶	48.1b	(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
	13.3b	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (/.f64 (+.f64 a b) b))
✓	44.5b	(.f64 eps (/.f64 1 (.f64 eps a)))
	33.7b	(.f64 1 (+.f64 (.f64 -1/2 eps) (/.f64 1 b)))

Compiler

Compiled 230 to 162 computations (29.6% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

series5.0ms (0%)

Counts

2 → 42

Calls

15 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
558×	`fma-def_binary64`
326×	`pow2_binary64`
271×	`fma-neg_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	253	26
2	3764	24

Stop Event

1×	node limit

Counts

2 → 206

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

608×	`times-frac_binary64`
491×	`unswap-sqr_binary64`
403×	`fma-neg_binary64`
283×	`cancel-sign-sub-inv_binary64`
194×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	421	4458
1	1032	4294
2	3068	4232

Stop Event

1×	node limit

Counts

248 → 266

Calls

Call 1

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

localize3.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 a b) b)
✓	6.0b	(/.f64 (/.f64 (+.f64 a b) b) a)

Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite152.0ms (1%)

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	10
1	142	10
2	2313	10

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

958×	`fma-def_binary64`
643×	`log-div_binary64`
509×	`log-prod_binary64`
431×	`associate-*l/_binary64`
402×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	112	725
1	292	707
2	1003	707
3	5597	707

Stop Event

1×	node limit

Counts

63 → 50

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 (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))))
(exp.f64 (log.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) (*.f64 a b))))

Outputs
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 b)
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(/.f64 1 a)
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1 b))
(-.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 (/.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 (+.f64 a b) (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 (+.f64 a b) (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 (+.f64 a b) (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))
(exp.f64 (log.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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.9b	(-.f64 (+.f64 1 (/.f64 eps (*.f64 eps a))) 1)
✓	14.7b	(/.f64 eps (*.f64 eps a))

Compiler

Compiled 30 to 12 computations (60% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`pow1_binary64`
912×	`add-log-exp_binary64`
912×	`log1p-expm1-u_binary64`
912×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	182	8
2	2739	8

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-def_binary64`
496×	`distribute-rgt-in_binary64`
444×	`distribute-lft-in_binary64`
401×	`associate-/l/_binary64`
284×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	1224
1	472	1173
2	1651	1159

Stop Event

1×	node limit

Counts

171 → 95

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 a eps))
✓	14.6b	(/.f64 eps (expm1.f64 (*.f64 a eps)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-def_binary64`
531×	`associate-/r*_binary64`
509×	`unswap-sqr_binary64`
421×	`associate-/l*_binary64`
353×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	1028
1	479	1013
2	1939	995

Stop Event

1×	node limit

Counts

96 → 87

Calls

Call 1

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

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

eval262.0ms (1.8%)

Compiler: Compiled 9154 to 5941 computations (35.1% saved)

prune151.0ms (1%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	542	5	547
Fresh	2	2	4
Picked	0	1	1
Done	3	4	7
Total	547	12	559

Error

Counts

559 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	9.4b	(/.f64 (/.f64 (+.f64 a b) b) a)
▶	33.7b	(/.f64 (/.f64 eps a) eps)
✓	12.8b	(/.f64 (+.f64 b a) (*.f64 b a))
✓	41.9b	(/.f64 eps (expm1.f64 (*.f64 a eps)))
✓	33.9b	(/.f64 1 b)
✓	31.4b	(/.f64 1 a)
	13.7b	(-.f64 (/.f64 (+.f64 b a) (.f64 b a)) (.f64 1/2 eps))
	33.7b	(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
▶	31.2b	(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
▶	35.7b	(-.f64 (+.f64 1 (/.f64 1 a)) 1)
▶	13.3b	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (/.f64 (+.f64 a b) b))
▶	62.0b	(*.f64 eps -1/2)

Compiler

Compiled 189 to 138 computations (27% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
	0.0b	(/.f64 (+.f64 a b) b)
✓	5.0b	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (/.f64 (+.f64 a b) b))

Compiler

Compiled 42 to 22 computations (47.6% saved)

series7.0ms (0%)

Counts

2 → 42

Calls

15 calls:

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

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`log-prod_binary64`
397×	`fma-def_binary64`
352×	`pow2_binary64`
244×	`pow1/3_binary64`
239×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	267	25
2	3854	25

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-def_binary64`
391×	`unswap-sqr_binary64`
281×	`associate-/l/_binary64`
281×	`div-sub_binary64`
271×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	2904
1	744	2835
2	2832	2658

Stop Event

1×	node limit

Counts

153 → 161

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.4b	(/.f64 (/.f64 eps a) eps)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (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 eps a) eps)

Outputs

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

simplify41.0ms (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 eps (*.f64 eps a))) 1)
(.f64 eps (/.f64 1 (.f64 eps a)))
(.f64 eps (.f64 (/.f64 1 a) (/.f64 1 eps)))
(*.f64 (/.f64 eps a) (/.f64 1 eps))
(.f64 (/.f64 eps (.f64 eps a)) 1)
(.f64 1 (/.f64 eps (.f64 eps a)))
(.f64 (cbrt.f64 (/.f64 eps (.f64 eps a))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 eps a))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (.f64 eps a))) 2) (cbrt.f64 (/.f64 eps (*.f64 eps a))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (.f64 (cbrt.f64 (/.f64 eps a)) (/.f64 1 eps)))
(.f64 (sqrt.f64 (/.f64 eps (.f64 eps a))) (sqrt.f64 (/.f64 eps (*.f64 eps a))))
(.f64 (sqrt.f64 (/.f64 eps a)) (.f64 (sqrt.f64 (/.f64 eps a)) (/.f64 1 eps)))
(*.f64 (/.f64 (neg.f64 eps) a) (/.f64 1 (neg.f64 eps)))
(*.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) eps) (/.f64 (sqrt.f64 eps) a))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (/.f64 eps a) (cbrt.f64 eps)))
(*.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (/.f64 eps a) (sqrt.f64 eps)))
(*.f64 (/.f64 eps 1) (/.f64 (/.f64 1 a) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) 1) (/.f64 (cbrt.f64 (/.f64 eps a)) eps))
(*.f64 (/.f64 (sqrt.f64 (/.f64 eps a)) 1) (/.f64 (sqrt.f64 (/.f64 eps a)) eps))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (/.f64 1 a) (cbrt.f64 eps)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 eps (.f64 eps a))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 eps a)) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (/.f64 eps a)) (cbrt.f64 eps)))
(*.f64 (/.f64 eps (sqrt.f64 eps)) (/.f64 (/.f64 1 a) (sqrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (/.f64 eps a)) (sqrt.f64 eps)))
(pow.f64 (/.f64 eps (*.f64 eps a)) 1)
(pow.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 eps (*.f64 eps a))) 3)
(pow.f64 (sqrt.f64 (/.f64 eps (*.f64 eps a))) 2)
(pow.f64 (*.f64 eps (/.f64 a eps)) -1)
(neg.f64 (/.f64 (/.f64 eps a) (neg.f64 eps)))
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 2))
(log.f64 (exp.f64 (/.f64 eps (*.f64 eps a))))
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 eps a) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 eps a))))
(exp.f64 (log.f64 (/.f64 eps (*.f64 eps a))))
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 eps 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 eps (*.f64 eps a))) 1)
(/.f64 1 a)
(.f64 eps (/.f64 1 (.f64 eps a)))
(/.f64 1 a)
(.f64 eps (.f64 (/.f64 1 a) (/.f64 1 eps)))
(/.f64 1 a)
(*.f64 (/.f64 eps a) (/.f64 1 eps))
(/.f64 1 a)
(.f64 (/.f64 eps (.f64 eps a)) 1)
(/.f64 1 a)
(.f64 1 (/.f64 eps (.f64 eps a)))
(/.f64 1 a)
(.f64 (cbrt.f64 (/.f64 eps (.f64 eps a))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 eps a))) 2))
(/.f64 1 a)
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (.f64 eps a))) 2) (cbrt.f64 (/.f64 eps (*.f64 eps a))))
(/.f64 1 a)
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (.f64 (cbrt.f64 (/.f64 eps a)) (/.f64 1 eps)))
(/.f64 1 a)
(.f64 (sqrt.f64 (/.f64 eps (.f64 eps a))) (sqrt.f64 (/.f64 eps (*.f64 eps a))))
(/.f64 1 a)
(.f64 (sqrt.f64 (/.f64 eps a)) (.f64 (sqrt.f64 (/.f64 eps a)) (/.f64 1 eps)))
(/.f64 1 a)
(*.f64 (/.f64 (neg.f64 eps) a) (/.f64 1 (neg.f64 eps)))
(/.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) eps) (/.f64 (sqrt.f64 eps) a))
(/.f64 1 a)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (/.f64 eps a) (cbrt.f64 eps)))
(/.f64 1 a)
(*.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (/.f64 eps a) (sqrt.f64 eps)))
(/.f64 1 a)
(*.f64 (/.f64 eps 1) (/.f64 (/.f64 1 a) eps))
(/.f64 1 a)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) 1) (/.f64 (cbrt.f64 (/.f64 eps a)) eps))
(/.f64 1 a)
(*.f64 (/.f64 (sqrt.f64 (/.f64 eps a)) 1) (/.f64 (sqrt.f64 (/.f64 eps a)) eps))
(/.f64 1 a)
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (/.f64 1 a) (cbrt.f64 eps)))
(/.f64 1 a)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 eps (.f64 eps a))))
(.f64 (cbrt.f64 (/.f64 eps (.f64 a eps))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (pow.f64 (cbrt.f64 eps) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 1 a))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 eps a)) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (/.f64 eps a)) (cbrt.f64 eps)))
(/.f64 1 a)
(*.f64 (/.f64 eps (sqrt.f64 eps)) (/.f64 (/.f64 1 a) (sqrt.f64 eps)))
(/.f64 1 a)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 eps a)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (/.f64 eps a)) (sqrt.f64 eps)))
(/.f64 1 a)
(pow.f64 (/.f64 eps (*.f64 eps a)) 1)
(/.f64 1 a)
(pow.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 3) 1/3)
(/.f64 1 a)
(pow.f64 (cbrt.f64 (/.f64 eps (*.f64 eps a))) 3)
(/.f64 1 a)
(pow.f64 (sqrt.f64 (/.f64 eps (*.f64 eps a))) 2)
(/.f64 1 a)
(pow.f64 (*.f64 eps (/.f64 a eps)) -1)
(/.f64 1 a)
(neg.f64 (/.f64 (/.f64 eps a) (neg.f64 eps)))
(/.f64 1 a)
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 2))
(/.f64 1 a)
(log.f64 (exp.f64 (/.f64 eps (*.f64 eps a))))
(/.f64 1 a)
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 eps a)) 3))
(/.f64 1 a)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 eps a) 3) (pow.f64 eps 3)))
(/.f64 1 a)
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 eps a))))
(/.f64 1 a)
(exp.f64 (log.f64 (/.f64 eps (*.f64 eps a))))
(/.f64 1 a)
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 eps a))))
(/.f64 1 a)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.9b	(-.f64 (+.f64 1 (/.f64 1 a)) 1)

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

812×	`times-frac_binary64`
740×	`fma-def_binary64`
538×	`distribute-rgt-in_binary64`
478×	`distribute-lft-in_binary64`
216×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	530
1	282	496
2	1160	488

Stop Event

1×	node limit

Counts

58 → 56

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`pow1_binary64`
799×	`add-log-exp_binary64`
799×	`log1p-expm1-u_binary64`
799×	`expm1-log1p-u_binary64`
783×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	174	10
2	2230	10

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

688×	`div-sub_binary64`
642×	`fma-neg_binary64`
481×	`fma-def_binary64`
294×	`distribute-rgt-neg-in_binary64`
156×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	734
1	295	664
2	1095	646
3	4400	586

Stop Event

1×	node limit

Counts

61 → 51

Calls

Call 1

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

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

eval121.0ms (0.8%)

Compiler: Compiled 5721 to 3337 computations (41.7% saved)

prune89.0ms (0.6%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	357	2	359
Fresh	0	2	2
Picked	0	1	1
Done	1	8	9
Total	358	13	371

Error

Counts

371 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	9.4b	(/.f64 (/.f64 (+.f64 a b) b) a)
✓	33.7b	(/.f64 (/.f64 eps a) eps)
✓	12.8b	(/.f64 (+.f64 b a) (*.f64 b a))
✓	41.9b	(/.f64 eps (expm1.f64 (*.f64 a eps)))
✓	33.9b	(/.f64 1 b)
✓	31.4b	(/.f64 1 a)
	13.7b	(-.f64 (/.f64 (+.f64 b a) (.f64 b a)) (.f64 1/2 eps))
	33.7b	(-.f64 (/.f64 1 b) (*.f64 1/2 eps))
✓	31.2b	(-.f64 (/.f64 1 a) (*.f64 1/2 eps))
✓	35.7b	(-.f64 (+.f64 1 (/.f64 1 a)) 1)
	13.3b	(.f64 (+.f64 (.f64 -1/2 eps) (/.f64 1 a)) (+.f64 1 (/.f64 a b)))
	61.8b	(.f64 (.f64 -1/2 eps) (/.f64 (+.f64 a b) b))
✓	62.0b	(*.f64 eps -1/2)

Compiler

Compiled 127 to 92 computations (27.6% saved)

regimes78.0ms (0.5%)

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

27.0ms	b
21.0ms	eps
14.0ms	a
8.0ms	(/.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
2.9b	1	`a`
1.9b	2	`b`
2.9b	1	`eps`
0.0b	3	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))`

Compiler

Compiled 329 to 157 computations (52.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.308716752796415e-13	+inf
0.0ms	-inf	-0.010900125508504473

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes57.0ms (0.4%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	b
13.0ms	a
13.0ms	eps

Results

Error	Segments	Branch
2.9b	1	`a`
1.9b	2	`b`
2.9b	1	`eps`

Compiler

Compiled 242 to 121 computations (50% saved)

bsearch138.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
137.0ms	-9.043159364453369e+49	-4.714832843811461e+21

Results

84.0ms	60×	body	2048	valid
35.0ms	67×	body	1024	valid
9.0ms	30×	body	512	valid
4.0ms	19×	body	256	valid
2.0ms	4×	body	1024	unsamplable
1.0ms	10×	body	256	unsamplable
0.0ms	1×	body	512	unsamplable

Compiler

Compiled 330 to 255 computations (22.7% saved)

regimes38.0ms (0.3%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	b
12.0ms	a
10.0ms	eps

Results

Error	Segments	Branch
2.9b	1	`a`
2.9b	1	`b`
2.9b	1	`eps`

Compiler

Compiled 163 to 94 computations (42.3% saved)

regimes97.0ms (0.7%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	eps
18.0ms	a
16.0ms	b

Results

Error	Segments	Branch
3.5b	2	`a`
5.2b	2	`b`
7.2b	5	`eps`

Compiler

Compiled 109 to 65 computations (40.4% saved)

bsearch57.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
56.0ms	-6.36981857640339e+84	-1.6901841138197502e+82

Results

26.0ms	26×	body	2048	valid
20.0ms	42×	body	1024	valid
4.0ms	16×	body	512	valid
2.0ms	12×	body	256	valid
1.0ms	8×	body	256	unsamplable

Compiler

Compiled 165 to 108 computations (34.5% saved)

regimes43.0ms (0.3%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	b
13.0ms	a
6.0ms	eps

Results

Error	Segments	Branch
8.3b	2	`a`
6.3b	4	`b`
12.8b	1	`eps`

Compiler

Compiled 64 to 43 computations (32.8% saved)

bsearch337.0ms (2.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
173.0ms	3.914443983851378e+300	4.639127747580049e+304
60.0ms	1.441708118022388e+155	3.6917490448800045e+156
104.0ms	1.5406549021669337e-141	3.050647776318087e-137

Results

165.0ms	171×	body	2048	valid
60.0ms	125×	body	1024	valid
55.0ms	37×	body	2048	unsamplable
22.0ms	52×	body	1024	unsamplable
11.0ms	78×	body	256	unsamplable
9.0ms	28×	body	512	valid
7.0ms	44×	body	256	valid
3.0ms	13×	body	512	unsamplable

Compiler

Compiled 539 to 416 computations (22.8% saved)

regimes53.0ms (0.4%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	eps
19.0ms	a
10.0ms	b

Results

Error	Segments	Branch
12.7b	4	`a`
11.4b	2	`b`
20.0b	4	`eps`

Compiler

Compiled 57 to 40 computations (29.8% saved)

bsearch167.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
167.0ms	6.195263277413828e-110	1.0309968058049977e-93

Results

129.0ms	81×	body	2048	valid
33.0ms	72×	body	1024	valid
2.0ms	7×	body	512	valid

Compiler

Compiled 253 to 204 computations (19.4% saved)

regimes48.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	eps
18.0ms	a
10.0ms	b

Results

Error	Segments	Branch
12.8b	4	`a`
11.6b	2	`b`
20.1b	4	`eps`

Compiler

Compiled 50 to 35 computations (30% saved)

bsearch154.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
154.0ms	6.195263277413828e-110	1.0309968058049977e-93

Results

81.0ms	80×	body	2048	valid
67.0ms	69×	body	1024	valid
3.0ms	11×	body	512	valid

Compiler

Compiled 213 to 174 computations (18.3% saved)

regimes50.0ms (0.3%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	a
18.0ms	eps
10.0ms	b

Results

Error	Segments	Branch
12.9b	4	`a`
11.6b	2	`b`
20.2b	4	`eps`

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch342.0ms (2.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
341.0ms	6.195263277413828e-110	1.0309968058049977e-93

Results

72.0ms	82×	body	2048	valid
39.0ms	68×	body	1024	valid
3.0ms	10×	body	512	valid

Compiler

Compiled 173 to 144 computations (16.8% saved)

regimes10.0ms (0.1%)

Accuracy

Total -30.9b remaining (-98.5%)

Threshold costs -30.9b (-98.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1 a)

Calls

3 calls:

3.0ms	eps
3.0ms	b
3.0ms	a

Results

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
12×	`*-commutative_binary64`
9×	`sub-neg_binary64`
6×	`cancel-sign-sub-inv_binary64`
2×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	337
1	105	337
2	120	337
3	124	337
4	127	337
5	128	337

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (/.f64 (/.f64 (+.f64 a b) b) a) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 4951760157141521/9903520314283042199192993792) (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))))
(if (<=.f64 b -89999999999999996482199139913043045904475815411712) (.f64 1 (/.f64 eps (expm1.f64 (.f64 eps b)))) (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(if (<=.f64 a -79999999999999997072543725047092593688217145802188542349442910747416692012343099392) (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 686479766013061/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (if (<=.f64 b 2499999999999999958397950557979304286400930687543676340917519036151171043752531386328694692364846854378093470860907762668836268370411434333663775925815214080) (/.f64 (+.f64 b a) (.f64 b a)) (if (<=.f64 b 44999999999999997266409862749140798370181292490527962289358472070954420533559552562794891658482284867965852531252729776604227371841862137386061094783900972487442856487569049684804696139230984076296739111468482195844878571478698246967971005213235774124057157133981575828834219713806819379337069566621646848) (-.f64 (/.f64 1 a) (*.f64 1/2 eps)) (-.f64 (+.f64 1 (/.f64 1 a)) 1))))
(if (<=.f64 b 4917370373310031/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (-.f64 (/.f64 1 a) (.f64 1/2 eps)))
(if (<=.f64 b 915931607281795/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (/.f64 1 b) (-.f64 (/.f64 1 a) (*.f64 1/2 eps)))
(if (<=.f64 b 4917370373310031/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(*.f64 eps -1/2)

Outputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (/.f64 (/.f64 (+.f64 a b) b) a) (if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) 4951760157141521/9903520314283042199192993792) (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))))
(if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) -inf.0) (/.f64 (/.f64 (+.f64 a b) b) a) (if (<=.f64 (/.f64 (.f64 eps (+.f64 (exp.f64 (.f64 eps (+.f64 a b))) -1)) (.f64 (+.f64 (exp.f64 (.f64 eps a)) -1) (+.f64 (exp.f64 (.f64 eps b)) -1))) 4951760157141521/9903520314283042199192993792) (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b)))) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 eps -1/2))))
(if (<=.f64 b -89999999999999996482199139913043045904475815411712) (.f64 1 (/.f64 eps (expm1.f64 (.f64 eps b)))) (-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps)))
(if (<=.f64 b -89999999999999996482199139913043045904475815411712) (/.f64 eps (expm1.f64 (.f64 eps b))) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 eps -1/2)))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 1/2 eps))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (*.f64 eps -1/2))
(if (<=.f64 a -79999999999999997072543725047092593688217145802188542349442910747416692012343099392) (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 a -79999999999999997072543725047092593688217145802188542349442910747416692012343099392) (/.f64 (+.f64 a b) (*.f64 a b)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 686479766013061/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (if (<=.f64 b 2499999999999999958397950557979304286400930687543676340917519036151171043752531386328694692364846854378093470860907762668836268370411434333663775925815214080) (/.f64 (+.f64 b a) (.f64 b a)) (if (<=.f64 b 44999999999999997266409862749140798370181292490527962289358472070954420533559552562794891658482284867965852531252729776604227371841862137386061094783900972487442856487569049684804696139230984076296739111468482195844878571478698246967971005213235774124057157133981575828834219713806819379337069566621646848) (-.f64 (/.f64 1 a) (*.f64 1/2 eps)) (-.f64 (+.f64 1 (/.f64 1 a)) 1))))
(if (<=.f64 b 686479766013061/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 (/.f64 1 b) (.f64 eps -1/2)) (if (<=.f64 b 2499999999999999958397950557979304286400930687543676340917519036151171043752531386328694692364846854378093470860907762668836268370411434333663775925815214080) (/.f64 (+.f64 a b) (.f64 a b)) (if (<=.f64 b 44999999999999997266409862749140798370181292490527962289358472070954420533559552562794891658482284867965852531252729776604227371841862137386061094783900972487442856487569049684804696139230984076296739111468482195844878571478698246967971005213235774124057157133981575828834219713806819379337069566621646848) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)) (+.f64 (+.f64 1 (/.f64 1 a)) -1))))
(if (<=.f64 b 4917370373310031/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (-.f64 (/.f64 1 b) (.f64 1/2 eps)) (-.f64 (/.f64 1 a) (.f64 1/2 eps)))
(if (<=.f64 b 4917370373310031/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (+.f64 (/.f64 1 b) (.f64 eps -1/2)) (+.f64 (/.f64 1 a) (.f64 eps -1/2)))
(if (<=.f64 b 915931607281795/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (/.f64 1 b) (-.f64 (/.f64 1 a) (*.f64 1/2 eps)))
(if (<=.f64 b 915931607281795/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (/.f64 1 b) (+.f64 (/.f64 1 a) (*.f64 eps -1/2)))
(if (<=.f64 b 4917370373310031/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (/.f64 1 b) (/.f64 1 a))
(/.f64 1 a)
(*.f64 eps -1/2)

Compiler

Compiled 258 to 169 computations (34.5% saved)

soundness207.0ms (1.4%)

Algorithm

4×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28
0	377	3190
1	1030	3087
2	5041	3087
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28
0	18	28
1	47	28
2	108	28
3	269	28
4	989	28

Stop Event

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

Compiler

Compiled 606 to 402 computations (33.7% saved)

end118.0ms (0.8%)

Compiler: Compiled 417 to 234 computations (43.9% saved)