Details

analyze587.0ms (2.6%)

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)

sample9.7s (42.9%)

Results

6.1s	4234×	body	2048	valid
2.1s	2507×	body	1024	valid
457.0ms	722×	body	512	valid
297.0ms	464×	body	1024	unsamplable
264.0ms	780×	body	256	valid
253.0ms	742×	body	256	unsamplable
205.0ms	286×	body	2048	unsamplable
77.0ms	231×	body	512	unsamplable
22.0ms	13×	body	4096	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess52.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify26.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

39.9b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.9b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	0.5b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	14.0b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	28.3b	(.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)

series39.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

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

rewrite92.0ms (0.4%)

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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simplify131.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

264 → 228

Calls

Call 1

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

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

eval102.0ms (0.5%)

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

prune44.0ms (0.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	217	11	228
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	218	11	229

Error

0.0b

Counts

229 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	50.2b	(.f64 eps (/.f64 (expm1.f64 (.f64 a eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	54.2b	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 a eps))))) (+.f64 (/.f64 1 b) (.f64 eps -1/2)))
	40.9b	(/.f64 1 (/.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))) (.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))))
▶	52.3b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	10.5b	(/.f64 (/.f64 (+.f64 a b) a) b)
▶	53.4b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2)))
	52.0b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	32.9b	(/.f64 1 a)
	58.4b	(.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 a (.f64 b (*.f64 eps eps)))))
	33.5b	(/.f64 1 b)
▶	14.4b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 344 to 228 computations (33.7% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) a)
✓	6.7b	(/.f64 (/.f64 (+.f64 a b) a) b)

Compiler

Compiled 20 to 6 computations (70% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	143	17
2	2354	17

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

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

Outputs

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

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	345
1	13	345

Stop Event

1×

saturated

Counts

119 → 79

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.5b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	204
1	10	204

Stop Event

1×

saturated

Counts

62 → 42

Calls

Call 1

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

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps)))))
✓	0.0b	(+.f64 (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 b eps))))) (.f64 eps -1/2))
✓	0.0b	(exp.f64 (neg.f64 (*.f64 b eps)))
✓	1.6b	(-.f64 1 (exp.f64 (neg.f64 (*.f64 b eps))))

Compiler

Compiled 72 to 32 computations (55.6% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite279.0ms (1.2%)

Algorithm

4×	egg-rewrite
1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
864×	`add-log-exp_binary64`
864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
742×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	261	44
2	3630	44
0	8	11
1	165	9
2	2106	9
0	6	8
1	122	6
2	1540	6
0	12	20
1	261	20
2	3630	20
0	12	20
0	9	14
1	190	12
2	2556	12

Stop Event

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

Counts

4 → 101

Calls

Call 1

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

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

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

586×	`distribute-neg-in_binary64`
454×	`distribute-rgt-in_binary64`
449×	`distribute-lft-in_binary64`
398×	`associate-+l+_binary64`
377×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1735
1	414	1681
2	1750	1602
3	6467	1518

Stop Event

1×	node limit

Counts

197 → 146

Calls

Call 1

Inputs
(*.f64 eps b)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(*.f64 eps b)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (*.f64 eps b))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
(-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))
1
(+.f64 1 (.f64 -1 (.f64 eps b)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 1 (.f64 -1 (.f64 eps b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 1 (+.f64 (.f64 -1 (.f64 eps b)) (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
1
(+.f64 1 (.f64 -1 (.f64 eps b)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 1 (.f64 -1 (.f64 eps b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (+.f64 1 (+.f64 (.f64 -1 (.f64 eps b)) (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
(exp.f64 (neg.f64 (*.f64 eps b)))
(/.f64 1 b)
(+.f64 (.f64 -1 (.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 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (.f64 -1/4 b)))) (/.f64 1 b)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/6 b) (.f64 -1/4 b)))) (+.f64 (.f64 1/120 (pow.f64 b 3)) (+.f64 (.f64 -1/48 (pow.f64 b 3)) (.f64 1/2 (.f64 b (+.f64 (.f64 -1/24 (pow.f64 b 2)) (+.f64 (.f64 1/2 (.f64 b (+.f64 (.f64 1/6 b) (.f64 -1/4 b)))) (.f64 1/12 (pow.f64 b 2))))))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/24 (pow.f64 b 2)) (+.f64 (.f64 1/2 (.f64 b (+.f64 (.f64 1/6 b) (.f64 -1/4 b)))) (.f64 1/12 (pow.f64 b 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (.f64 -1/4 b)))) (/.f64 1 b))))
(.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))) 1/2))
(.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))) 1/2))
(.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))) 1/2))
(.f64 eps (-.f64 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))) 1/2))
(.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))))))
(.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))))))
(.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))))))
(.f64 -1 (.f64 eps (-.f64 1/2 (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b))))))))
(/.f64 1 b)
(+.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 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) b)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/2 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))))) (.f64 1/12 (pow.f64 eps 3)))) (pow.f64 b 2))) (/.f64 1 b)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) b)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/2 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))))) (.f64 1/12 (pow.f64 eps 3)))) eps)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))))) (.f64 1/120 (pow.f64 eps 4))))) (pow.f64 b 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/2 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))))) (.f64 1/12 (pow.f64 eps 3)))) (pow.f64 b 2))) (/.f64 1 b))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(+.f64 (.f64 -1/2 eps) (/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (.f64 eps b))))))
(/.f64 1 b)
(+.f64 (*.f64 1/2 eps) (/.f64 1 b))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (*.f64 -1/4 b)))) (/.f64 1 b)))
(+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/24 (pow.f64 b 2)) (+.f64 (.f64 1/2 (.f64 b (+.f64 (.f64 1/6 b) (.f64 -1/4 b)))) (.f64 1/12 (pow.f64 b 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/6 b) (*.f64 -1/4 b)))) (/.f64 1 b))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 1 b)
(+.f64 (*.f64 1/2 eps) (/.f64 1 b))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) b)) (+.f64 (*.f64 1/2 eps) (/.f64 1 b)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))) b)) (+.f64 (.f64 1/2 eps) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/2 (.f64 eps (+.f64 (.f64 1/6 (pow.f64 eps 2)) (.f64 -1/4 (pow.f64 eps 2))))) (*.f64 1/12 (pow.f64 eps 3)))) (pow.f64 b 2))) (/.f64 1 b))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))
(/.f64 eps (-.f64 1 (exp.f64 (neg.f64 (*.f64 eps b)))))

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps b))
	0.5b	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	12.6b	(/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
✓	27.6b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 69 to 12 computations (82.6% saved)

series31.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	b	@	inf	(/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
2.0ms	a	@	-inf	(/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))
2.0ms	eps	@	0	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
2.0ms	b	@	0	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
1.0ms	a	@	0	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify116.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

672×	`associate-*l/_binary64`
655×	`associate-/r*_binary64`
277×	`fma-def_binary64`
271×	`associate-r_binary64`
207×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	4640
1	917	4332
2	3996	4010

Stop Event

1×	node limit

Counts

211 → 187

Calls

Call 1

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

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

eval256.0ms (1.1%)

Compiler: Compiled 13920 to 6182 computations (55.6% saved)

prune144.0ms (0.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	489	9	498
Fresh	5	1	6
Picked	1	0	1
Done	1	3	4
Total	496	13	509

Error

Counts

509 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.0b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (.f64 eps -1/2)))
✓	32.9b	(/.f64 1 a)
	46.4b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (*.f64 eps b))))
▶	10.1b	(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
	47.2b	(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 b a))
▶	10.5b	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))
	52.0b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
	15.1b	(*.f64 (/.f64 (+.f64 a b) 1) (/.f64 (/.f64 1 a) b))
▶	51.9b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 a (.f64 eps (expm1.f64 (*.f64 b eps))))))
	40.0b	(/.f64 (/.f64 b a) b)
▶	33.5b	(/.f64 1 b)
✓	10.5b	(/.f64 (/.f64 (+.f64 a b) a) b)
✓	14.4b	(/.f64 (+.f64 a b) (*.f64 a b))

Compiler

Compiled 302 to 195 computations (35.4% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
✓	0.0b	(/.f64 a (+.f64 a b))
✓	6.4b	(*.f64 b (/.f64 a (+.f64 a b)))

Compiler

Compiled 30 to 9 computations (70% saved)

series19.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
2.0ms	b	@	0	(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
1.0ms	b	@	0	(*.f64 b (/.f64 a (+.f64 a b)))
1.0ms	b	@	inf	(pow.f64 (*.f64 b (/.f64 a (+.f64 a b))) -1)
1.0ms	b	@	inf	(*.f64 b (/.f64 a (+.f64 a b)))

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`prod-diff_binary64`
472×	`log-prod_binary64`
313×	`pow-prod-down_binary64`
244×	`pow2_binary64`
184×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	182	27
2	2631	27

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

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

Outputs

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

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

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

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-neg_binary64`
541×	`fma-def_binary64`
342×	`associate-+l+_binary64`
317×	`times-frac_binary64`
264×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1164
1	309	1086
2	1263	987
3	5418	942

Stop Event

1×	node limit

Counts

185 → 152

Calls

Call 1

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

Outputs
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) b)
(fma.f64 -1 (/.f64 (*.f64 b b) a) b)
(-.f64 b (/.f64 b (/.f64 a b)))
(-.f64 b (*.f64 (/.f64 b a) b))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) b))
(fma.f64 -1 (/.f64 (.f64 b b) a) (+.f64 b (/.f64 (pow.f64 b 3) (.f64 a a))))
(-.f64 (+.f64 b (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 b (/.f64 a b)))
(+.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) (+.f64 b (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
(fma.f64 -1 (/.f64 (.f64 b b) a) (+.f64 (+.f64 b (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) (-.f64 b (/.f64 (pow.f64 b 4) (pow.f64 a 3)))) (/.f64 b (/.f64 a b)))
(+.f64 b (-.f64 (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))) (*.f64 (pow.f64 (/.f64 b a) 3) b)))
(-.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 1 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))))))
a
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) a)
(fma.f64 -1 (/.f64 (*.f64 a a) b) a)
(-.f64 a (/.f64 a (/.f64 b a)))
(-.f64 a (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (/.f64 (pow.f64 a 3) (pow.f64 b 2))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 a a) b) a) (/.f64 (pow.f64 a 3) (.f64 b b)))
(-.f64 (+.f64 a (/.f64 (pow.f64 a 3) (*.f64 b b))) (/.f64 a (/.f64 b a)))
(+.f64 a (.f64 (.f64 (/.f64 a b) a) (+.f64 -1 (/.f64 a b))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 2)) (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 3))))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 a a) b) a) (+.f64 (/.f64 (pow.f64 a 3) (.f64 b b)) (neg.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)))))
(+.f64 (-.f64 a (/.f64 a (/.f64 b a))) (-.f64 (/.f64 (pow.f64 a 3) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 3))))
(+.f64 a (-.f64 (.f64 (.f64 (/.f64 a b) a) (+.f64 -1 (/.f64 a b))) (*.f64 (pow.f64 (/.f64 a b) 3) a)))
(+.f64 a (.f64 (.f64 (/.f64 a b) a) (+.f64 -1 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)))))
a
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) a)
(fma.f64 -1 (/.f64 (*.f64 a a) b) a)
(-.f64 a (/.f64 a (/.f64 b a)))
(-.f64 a (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (/.f64 (pow.f64 a 3) (pow.f64 b 2))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 a a) b) a) (/.f64 (pow.f64 a 3) (.f64 b b)))
(-.f64 (+.f64 a (/.f64 (pow.f64 a 3) (*.f64 b b))) (/.f64 a (/.f64 b a)))
(+.f64 a (.f64 (.f64 (/.f64 a b) a) (+.f64 -1 (/.f64 a b))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 2)) (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 3))))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 a a) b) a) (+.f64 (/.f64 (pow.f64 a 3) (.f64 b b)) (neg.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)))))
(+.f64 (-.f64 a (/.f64 a (/.f64 b a))) (-.f64 (/.f64 (pow.f64 a 3) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 3))))
(+.f64 a (-.f64 (.f64 (.f64 (/.f64 a b) a) (+.f64 -1 (/.f64 a b))) (*.f64 (pow.f64 (/.f64 a b) 3) a)))
(+.f64 a (.f64 (.f64 (/.f64 a b) a) (+.f64 -1 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)))))
a
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) a)
(fma.f64 -1 (/.f64 (*.f64 a a) b) a)
(-.f64 a (/.f64 a (/.f64 b a)))
(-.f64 a (*.f64 (/.f64 a b) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (/.f64 (pow.f64 a 3) (pow.f64 b 2))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 a a) b) a) (/.f64 (pow.f64 a 3) (.f64 b b)))
(-.f64 (+.f64 a (/.f64 (pow.f64 a 3) (*.f64 b b))) (/.f64 a (/.f64 b a)))
(+.f64 a (.f64 (.f64 (/.f64 a b) a) (+.f64 -1 (/.f64 a b))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) b)) (+.f64 a (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 2)) (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 3))))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 a a) b) a) (+.f64 (/.f64 (pow.f64 a 3) (.f64 b b)) (neg.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)))))
(+.f64 (-.f64 a (/.f64 a (/.f64 b a))) (-.f64 (/.f64 (pow.f64 a 3) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 3))))
(+.f64 a (-.f64 (.f64 (.f64 (/.f64 a b) a) (+.f64 -1 (/.f64 a b))) (*.f64 (pow.f64 (/.f64 a b) 3) a)))
(+.f64 a (.f64 (.f64 (/.f64 a b) a) (+.f64 -1 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)))))
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) b)
(fma.f64 -1 (/.f64 (*.f64 b b) a) b)
(-.f64 b (/.f64 b (/.f64 a b)))
(-.f64 b (*.f64 (/.f64 b a) b))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) b))
(fma.f64 -1 (/.f64 (.f64 b b) a) (+.f64 b (/.f64 (pow.f64 b 3) (.f64 a a))))
(-.f64 (+.f64 b (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 b (/.f64 a b)))
(+.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) (+.f64 b (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
(fma.f64 -1 (/.f64 (.f64 b b) a) (+.f64 (+.f64 b (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) (-.f64 b (/.f64 (pow.f64 b 4) (pow.f64 a 3)))) (/.f64 b (/.f64 a b)))
(+.f64 b (-.f64 (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))) (*.f64 (pow.f64 (/.f64 b a) 3) b)))
(-.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 1 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))))))
b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) b)
(fma.f64 -1 (/.f64 (*.f64 b b) a) b)
(-.f64 b (/.f64 b (/.f64 a b)))
(-.f64 b (*.f64 (/.f64 b a) b))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) b))
(fma.f64 -1 (/.f64 (.f64 b b) a) (+.f64 b (/.f64 (pow.f64 b 3) (.f64 a a))))
(-.f64 (+.f64 b (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 b (/.f64 a b)))
(+.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 2)) (+.f64 b (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
(fma.f64 -1 (/.f64 (.f64 b b) a) (+.f64 (+.f64 b (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) (-.f64 b (/.f64 (pow.f64 b 4) (pow.f64 a 3)))) (/.f64 b (/.f64 a b)))
(+.f64 b (-.f64 (.f64 (.f64 (/.f64 b a) b) (+.f64 -1 (/.f64 b a))) (*.f64 (pow.f64 (/.f64 b a) 3) b)))
(-.f64 b (.f64 (.f64 (/.f64 b a) b) (+.f64 1 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))))))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (/.f64 a b) (/.f64 (neg.f64 (.f64 a a)) (.f64 b b)))
(-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))
(*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b))
(+.f64 (/.f64 a b) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))
(+.f64 (/.f64 a b) (fma.f64 -1 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))
(+.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 a b) (/.f64 a b))))
(+.f64 (/.f64 a b) (-.f64 (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a b) (/.f64 a b))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)) (pow.f64 (/.f64 a b) 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (/.f64 a b) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (+.f64 (/.f64 a b) (fma.f64 -1 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(-.f64 (+.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 a b) (/.f64 a b)))) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (/.f64 a b) (-.f64 (-.f64 (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a b) (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)) (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 a b) 4)))
1
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (/.f64 (neg.f64 b) a))
(-.f64 1 (/.f64 b a))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 1 (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (neg.f64 b) a))
(+.f64 1 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b a)))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 -1 (/.f64 b a)))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 (.f64 b b) (.f64 a a)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))) (pow.f64 (/.f64 b a) 3)))
(fma.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a)) (-.f64 1 (pow.f64 (/.f64 b a) 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (/.f64 (neg.f64 b) a))
(-.f64 1 (/.f64 b a))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 1 (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (neg.f64 b) a))
(+.f64 1 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b a)))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 -1 (/.f64 b a)))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 (.f64 b b) (.f64 a a)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))) (pow.f64 (/.f64 b a) 3)))
(fma.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a)) (-.f64 1 (pow.f64 (/.f64 b a) 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (/.f64 (neg.f64 b) a))
(-.f64 1 (/.f64 b a))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 1 (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (neg.f64 b) a))
(+.f64 1 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b a)))
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (.f64 -1 (/.f64 b a)))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 (.f64 b b) (.f64 a a)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a))) (pow.f64 (/.f64 b a) 3)))
(fma.f64 (/.f64 b a) (+.f64 -1 (/.f64 b a)) (-.f64 1 (pow.f64 (/.f64 b a) 3)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (/.f64 a b) (/.f64 (neg.f64 (.f64 a a)) (.f64 b b)))
(-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))
(*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b))
(+.f64 (/.f64 a b) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))
(+.f64 (/.f64 a b) (fma.f64 -1 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))
(+.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 a b) (/.f64 a b))))
(+.f64 (/.f64 a b) (-.f64 (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a b) (/.f64 a b))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)) (pow.f64 (/.f64 a b) 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (/.f64 a b) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (+.f64 (/.f64 a b) (fma.f64 -1 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(-.f64 (+.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 a b) (/.f64 a b)))) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (/.f64 a b) (-.f64 (-.f64 (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a b) (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)) (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 a b) 4)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (/.f64 a b) (/.f64 (neg.f64 (.f64 a a)) (.f64 b b)))
(-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))
(*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b))
(+.f64 (/.f64 a b) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))
(+.f64 (/.f64 a b) (fma.f64 -1 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))
(+.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 a b) (/.f64 a b))))
(+.f64 (/.f64 a b) (-.f64 (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a b) (/.f64 a b))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)) (pow.f64 (/.f64 a b) 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (/.f64 a b) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (+.f64 (/.f64 a b) (fma.f64 -1 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(-.f64 (+.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 a b) (/.f64 a b)))) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (/.f64 a b) (-.f64 (-.f64 (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a b) (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 a) b) 1) (/.f64 a b)) (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 a b) 4)))
(/.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 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 2))) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 b) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 a 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (.f64 -1 a)) a))) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 2))) (/.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 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 2))) (/.f64 1 a)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (+.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 2))) (+.f64 (/.f64 1 a) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (pow.f64 b 3))) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))))))
(+.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 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 2))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 b 2) (.f64 (+.f64 b (.f64 -1 b)) b))) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 2))) (+.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 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 2))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 2))) (+.f64 (/.f64 1 a) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 3))) (/.f64 1 b))))))
(+.f64 (/.f64 (.f64 b b) (pow.f64 a 3)) (fma.f64 -1 (/.f64 (.f64 0 b) (/.f64 (pow.f64 a 3) b)) (fma.f64 -1 (/.f64 (.f64 0 b) (.f64 a a)) (+.f64 (/.f64 1 a) (fma.f64 -1 (/.f64 (*.f64 b b) (pow.f64 a 3)) (/.f64 1 b))))))
(+.f64 (/.f64 0 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 0 (*.f64 a a)) (+.f64 (/.f64 1 b) (-.f64 (/.f64 1 a) (/.f64 b (/.f64 (pow.f64 a 3) b))))) (/.f64 b (/.f64 (pow.f64 a 3) b))))
(+.f64 (/.f64 1 b) (+.f64 (-.f64 (/.f64 1 a) (.f64 (/.f64 b (pow.f64 a 3)) b)) (.f64 (/.f64 b (pow.f64 a 3)) b)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 0 (.f64 (/.f64 b (pow.f64 a 3)) b)))

localize6.0ms (0%)

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 a b) a)
✓	6.7b	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`prod-diff_binary64`
468×	`log-prod_binary64`
346×	`pow-prod-down_binary64`
233×	`pow2_binary64`
184×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	181	10
2	2746	10

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	204
1	10	204

Stop Event

1×

saturated

Counts

87 → 67

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 eps (.f64 eps b)) (.f64 eps -1/2))
✓	0.0b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (.f64 eps -1/2)))
✓	18.2b	(/.f64 eps (*.f64 eps b))

Compiler

Compiled 44 to 20 computations (54.5% saved)

series11.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite147.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`fma-def_binary64`
665×	`log-prod_binary64`
299×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	268	26
2	4065	26

Stop Event

1×	node limit

Counts

3 → 221

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	700
1	28	700
2	33	700

Stop Event

1×

saturated

Counts

305 → 231

Calls

Call 1

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

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 eps (expm1.f64 (.f64 b eps)))
✓	5.3b	(.f64 a (.f64 eps (expm1.f64 (*.f64 b eps))))
✓	12.6b	(/.f64 (.f64 (+.f64 a b) eps) (.f64 a (.f64 eps (expm1.f64 (.f64 b eps)))))
✓	27.9b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 a (.f64 eps (expm1.f64 (*.f64 b eps))))))

Compiler

Compiled 65 to 11 computations (83.1% saved)

series41.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

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

rewrite175.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	263	66
2	4113	66

Stop Event

1×	node limit

Counts

4 → 131

Calls

Call 1

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

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

simplify199.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

903×	`fma-neg_binary64`
451×	`associate-+l+_binary64`
424×	`*-commutative_binary64`
393×	`distribute-rgt-in_binary64`
384×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	2803
1	535	2733
2	2103	2597
3	7304	2595

Stop Event

1×	node limit

Counts

263 → 199

Calls

Call 1

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

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

eval511.0ms (2.3%)

Compiler: Compiled 12310 to 5803 computations (52.9% saved)

prune402.0ms (1.8%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	678	7	685
Fresh	2	3	5
Picked	0	1	1
Done	3	4	7
Total	683	15	698

Error

Counts

698 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	40.5b	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 eps (-.f64 (/.f64 1 (.f64 eps a)) 1/2))) (.f64 1/6 eps)) b)) (/.f64 1 (*.f64 eps a)))) 1/2))
▶	12.5b	(+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) a)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
✓	32.9b	(/.f64 1 a)
	46.4b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (*.f64 eps b))))
✓	33.5b	(/.f64 1 b)
▶	62.0b	(*.f64 -1/2 eps)
	52.0b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
▶	45.9b	(/.f64 eps (expm1.f64 (*.f64 b eps)))
✓	51.9b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 a (.f64 eps (expm1.f64 (*.f64 b eps))))))
	40.0b	(/.f64 (/.f64 b a) b)
▶	32.6b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
✓	10.5b	(/.f64 (/.f64 (+.f64 a b) a) b)
✓	14.4b	(/.f64 (+.f64 a b) (*.f64 a b))
	33.3b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
▶	12.0b	(/.f64 (/.f64 (+.f64 a b) b) a)

Compiler

Compiled 349 to 237 computations (32.1% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) b)
✓	8.0b	(/.f64 (/.f64 (+.f64 a b) b) a)

Compiler

Compiled 20 to 6 computations (70% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite201.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify31.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	345
1	13	345

Stop Event

1×

saturated

Counts

119 → 78

Calls

Call 1

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

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

localize6.0ms (0%)

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

localize155.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series3.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	10	24

Stop Event

1×

saturated

Counts

41 → 37

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 eps (+.f64 a b))
✓	0.0b	(+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) a)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
✓	0.0b	(+.f64 (/.f64 1 a) (/.f64 1 b))
✓	5.8b	(/.f64 (*.f64 eps (+.f64 a b)) a)

Compiler

Compiled 62 to 27 computations (56.5% saved)

series17.0ms (0.1%)

Counts

4 → 99

Calls

33 calls:

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

rewrite140.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	332	50
2	5374	50

Stop Event

1×	node limit

Counts

4 → 257

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 eps a) (+.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (/.f64 1 (/.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (.f64 (+.f64 a b) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a b) (.f64 eps (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (+.f64 a b)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 eps a) (+.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 eps a) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (.f64 eps (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 eps (+.f64 a b))) 2) (.f64 (cbrt.f64 (.f64 eps (+.f64 a b))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 eps a) (+.f64 a b))) (pow.f64 (cbrt.f64 (.f64 (/.f64 eps a) (+.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 eps a) (+.f64 a b))) 2) (cbrt.f64 (.f64 (/.f64 eps a) (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a -1/2) (/.f64 (.f64 eps (+.f64 a b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 eps (+.f64 a b))) (.f64 (sqrt.f64 (.f64 eps (+.f64 a b))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 eps a) (+.f64 a b))) (sqrt.f64 (.f64 (/.f64 eps a) (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (neg.f64 (+.f64 a b))) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps 1) (/.f64 (+.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 a b) 1) (/.f64 eps a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps a) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps (+.f64 a b))) 2) 1) (/.f64 (cbrt.f64 (.f64 eps (+.f64 a b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 eps (+.f64 a b))) 1) (/.f64 (sqrt.f64 (.f64 eps (+.f64 a b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 a b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 a b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 eps (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 eps (+.f64 a b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps (+.f64 a b))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (.f64 (/.f64 eps a) (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 eps (+.f64 a b))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (.f64 eps (+.f64 a b))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (sqrt.f64 a)) (/.f64 (+.f64 a b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 a b) (sqrt.f64 a)) (/.f64 eps (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps (+.f64 a b))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (.f64 eps (+.f64 a b))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 eps (+.f64 a b)) (cbrt.f64 (pow.f64 a -2))) (/.f64 1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 eps (+.f64 a b)) (pow.f64 a -1/2)) (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 eps a) (+.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 eps a) (+.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 eps a) (+.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 eps a) (+.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (+.f64 a b)) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 eps (+.f64 a b)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 eps a) (+.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 eps a) (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 eps a) (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 eps a) (+.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 eps (+.f64 a b)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 eps (+.f64 a b)) 3) (pow.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 eps a) (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 eps a) (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 eps a) (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 eps a) (+.f64 a b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a -2) (/.f64 (-.f64 b a) (.f64 a b))) (/.f64 (pow.f64 b -2) (/.f64 (-.f64 b a) (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a b) (/.f64 1 (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))) 2) (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (pow.f64 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 (pow.f64 a -3) (pow.f64 b -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 a -2) (pow.f64 b -2)) (/.f64 1 (.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (/.f64 1 (/.f64 (-.f64 b a) (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a b) (.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 a b) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 a -2) (pow.f64 b -2)) (/.f64 1 (.f64 a b))) (+.f64 (pow.f64 a -3) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 b a) (.f64 a b)) (-.f64 (pow.f64 a -2) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a -3) (pow.f64 b -3)) (-.f64 (+.f64 (pow.f64 a -2) (pow.f64 b -2)) (/.f64 1 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a -3) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 a -2) (/.f64 1 (.f64 a b)))))))) 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simplify220.0ms (1%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-neg_binary64`
661×	`fma-def_binary64`
503×	`div-sub_binary64`
371×	`associate-/l*_binary64`
324×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	40	1159
1	110	1157
2	235	1115
3	457	1115
4	901	1115
5	2486	1063
6	5104	1063
7	7174	1063

Stop Event

1×	node limit

Counts

356 → 286

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 b eps))
✓	18.2b	(/.f64 eps (expm1.f64 (*.f64 b eps)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite59.0ms (0.3%)

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

Outputs

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

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

simplify166.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

755×	`distribute-rgt-in_binary64`
597×	`associate-l_binary64`
573×	`fma-def_binary64`
509×	`associate-r_binary64`
472×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	536
1	239	532
2	932	518
3	4977	518

Stop Event

1×	node limit

Counts

96 → 68

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

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

eval379.0ms (1.7%)

Compiler: Compiled 8922 to 4537 computations (49.1% saved)

prune106.0ms (0.5%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	464	5	469
Fresh	1	4	5
Picked	0	1	1
Done	1	8	9
Total	466	18	484

Error

Counts

484 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.9b	(/.f64 1 a)
	46.4b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 (expm1.f64 (.f64 eps a)) (*.f64 eps b))))
	11.8b	(+.f64 (.f64 -1/2 (.f64 (/.f64 eps a) (+.f64 a b))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
✓	51.9b	(.f64 eps (/.f64 (.f64 (+.f64 a b) eps) (.f64 a (.f64 eps (expm1.f64 (*.f64 b eps))))))
✓	33.5b	(/.f64 1 b)
✓	62.0b	(*.f64 -1/2 eps)
	61.9b	(.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) a))
	42.0b	(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -1/2 (/.f64 (*.f64 eps b) a)) (/.f64 1 a)))
✓	14.4b	(/.f64 (+.f64 a b) (*.f64 a b))
	40.5b	(.f64 eps (-.f64 (+.f64 (/.f64 1 (.f64 eps b)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 eps (-.f64 (/.f64 1 (.f64 eps a)) 1/2))) (.f64 1/6 eps)) b)) (/.f64 1 (*.f64 eps a)))) 1/2))
	52.0b	(.f64 eps (/.f64 (expm1.f64 (.f64 b eps)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
✓	45.9b	(/.f64 eps (expm1.f64 (*.f64 b eps)))
	33.3b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 b))
	40.0b	(/.f64 (/.f64 b a) b)
✓	32.6b	(+.f64 (*.f64 -1/2 eps) (/.f64 1 a))
✓	10.5b	(/.f64 (/.f64 (+.f64 a b) a) b)
✓	12.0b	(/.f64 (/.f64 (+.f64 a b) b) a)
	48.7b	(/.f64 eps (*.f64 eps b))

Compiler

Compiled 238 to 161 computations (32.4% saved)

regimes325.0ms (1.4%)

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

188.0ms	b
61.0ms	eps
52.0ms	a
10.0ms	(/.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
3.4b	2	`a`
3.2b	2	`b`
6.0b	2	`eps`
1.8b	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 450 to 207 computations (54% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1602923978976901e-29	+inf
0.0ms	-inf	-3.2912261466249805e-45

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes323.0ms (1.4%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

3 calls:

133.0ms	b
115.0ms	a
57.0ms	eps

Results

Error	Segments	Branch
3.4b	2	`a`
3.2b	2	`b`
6.0b	2	`eps`

Compiler

Compiled 361 to 170 computations (52.9% saved)

bsearch461.0ms (2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
460.0ms	451691722538873.0	571839955823709.3

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes179.0ms (0.8%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

3 calls:

91.0ms	a
42.0ms	eps
36.0ms	b

Results

Error	Segments	Branch
3.4b	2	`a`
3.2b	2	`b`
6.0b	2	`eps`

Compiler

Compiled 153 to 84 computations (45.1% saved)

bsearch552.0ms (2.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
551.0ms	9.520435249553234e-49	1.7253232787380228e-47

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes156.0ms (0.7%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	eps
51.0ms	a
27.0ms	b

Results

Error	Segments	Branch
3.4b	2	`a`
3.3b	2	`b`
6.0b	2	`eps`

Compiler

Compiled 136 to 74 computations (45.6% saved)

bsearch355.0ms (1.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
355.0ms	9.520435249553234e-49	1.7253232787380228e-47

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes270.0ms (1.2%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

3 calls:

175.0ms	eps
72.0ms	a
16.0ms	b

Results

Error	Segments	Branch
3.4b	2	`a`
3.4b	2	`b`
6.0b	2	`eps`

Compiler

Compiled 108 to 59 computations (45.4% saved)

bsearch261.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
261.0ms	7.986916818762323e-57	1.605140191044092e-56

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes59.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	eps
17.0ms	b
14.0ms	a

Results

Error	Segments	Branch
3.4b	2	`a`
3.4b	2	`b`
6.0b	2	`eps`

Compiler

Compiled 88 to 50 computations (43.2% saved)

bsearch373.0ms (1.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
373.0ms	7.986916818762323e-57	1.605140191044092e-56

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes93.0ms (0.4%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	a
18.0ms	b
6.0ms	eps

Results

Error	Segments	Branch
5.1b	2	`a`
6.2b	2	`b`
12.0b	1	`eps`

Compiler

Compiled 65 to 42 computations (35.4% saved)

bsearch433.0ms (1.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
433.0ms	-1.2877227664165489e+33	-3.1926847640198013e+31

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes396.0ms (1.7%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

3 calls:

266.0ms	eps
70.0ms	a
55.0ms	b

Results

Error	Segments	Branch
11.1b	4	`a`
10.5b	4	`b`
20.8b	8	`eps`

Compiler

Compiled 58 to 39 computations (32.8% saved)

bsearch487.0ms (2.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
233.0ms	1.605140191044092e-56	8.768565124965126e-56
253.0ms	1.130119473184844e-62	1.0364516538589007e-59
0.0ms	3.8343792857093594e-130	4.019121638953524e-130

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes177.0ms (0.8%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

3 calls:

88.0ms	eps
43.0ms	a
41.0ms	b

Results

Error	Segments	Branch
11.2b	4	`a`
10.6b	4	`b`
21.0b	8	`eps`

Compiler

Compiled 44 to 29 computations (34.1% saved)

bsearch680.0ms (3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
342.0ms	1.605140191044092e-56	8.768565124965126e-56
337.0ms	1.130119473184844e-62	1.0364516538589007e-59
0.0ms	3.8343792857093594e-130	4.019121638953524e-130

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes178.0ms (0.8%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

3 calls:

85.0ms	eps
49.0ms	a
40.0ms	b

Results

Error	Segments	Branch
11.3b	4	`a`
10.7b	4	`b`
21.1b	8	`eps`

Compiler

Compiled 37 to 24 computations (35.1% saved)

bsearch528.0ms (2.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
205.0ms	1.605140191044092e-56	8.768565124965126e-56
323.0ms	1.130119473184844e-62	1.0364516538589007e-59
0.0ms	3.8343792857093594e-130	4.019121638953524e-130

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes14.0ms (0.1%)

Accuracy

Total -28.8b remaining (-86%)

Threshold costs -28.8b (-86%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1 b)

Calls

3 calls:

6.0ms	eps
3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
33.5b	1	`a`
33.5b	1	`b`
33.5b	1	`eps`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
11×	`+-commutative_binary64`
3×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	494
1	111	494
2	114	494

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))) 7136238463529799/356811923176489970264571492362373784095686656) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (+.f64 (.f64 -1/2 (*.f64 (/.f64 eps a) (+.f64 a b))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(if (<=.f64 b 451691722538873) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) a)) (+.f64 (/.f64 1 a) (/.f64 1 b))) (+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (.f64 eps -1/2))))
(if (<=.f64 b 783295979541065/822752278660603021077484591278675252491367932816789931674304512) (+.f64 (.f64 -1/2 (.f64 (/.f64 eps a) (+.f64 a b))) (+.f64 (/.f64 1 a) (/.f64 1 b))) (+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (.f64 eps -1/2))))
(if (<=.f64 b 783295979541065/822752278660603021077484591278675252491367932816789931674304512) (.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (*.f64 eps -1/2))))
(if (<=.f64 b 7055830268929661/883423532389192164791648750371459257913741948437809479060803100646309888) (*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 7055830268929661/883423532389192164791648750371459257913741948437809479060803100646309888) (/.f64 (/.f64 (+.f64 a b) a) b) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 a -1287722766416548906233349690884096) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) (if (<=.f64 b 5234355795513929/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 1 a) (if (<=.f64 b 7090093087760173/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 1 b) (+.f64 (.f64 -1/2 eps) (/.f64 1 a)))))
(if (<=.f64 b 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (if (<=.f64 b 5234355795513929/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 1 a) (if (<=.f64 b 7090093087760173/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 1 b) (if (<=.f64 b 5234355795513929/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 1 a) (if (<=.f64 b 7090093087760173/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 1 b) (/.f64 1 a))))
(/.f64 1 b)
(*.f64 -1/2 eps)

Outputs
(if (<=.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (.f64 b eps)) 1))) -inf.0) (/.f64 (/.f64 (+.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))) 7136238463529799/356811923176489970264571492362373784095686656) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (+.f64 (.f64 -1/2 (*.f64 (/.f64 eps a) (+.f64 a b))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(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))) 7136238463529799/356811923176489970264571492362373784095686656) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (+.f64 (.f64 -1/2 (*.f64 (+.f64 a b) (/.f64 eps a))) (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(if (<=.f64 b 451691722538873) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) a)) (+.f64 (/.f64 1 a) (/.f64 1 b))) (+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (.f64 eps -1/2))))
(if (<=.f64 b 451691722538873) (+.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (.f64 -1/2 (/.f64 (.f64 eps (+.f64 a b)) a))) (+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (.f64 eps -1/2))))
(if (<=.f64 b 783295979541065/822752278660603021077484591278675252491367932816789931674304512) (+.f64 (.f64 -1/2 (.f64 (/.f64 eps a) (+.f64 a b))) (+.f64 (/.f64 1 a) (/.f64 1 b))) (+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (.f64 eps -1/2))))
(if (<=.f64 b 783295979541065/822752278660603021077484591278675252491367932816789931674304512) (+.f64 (.f64 -1/2 (.f64 (+.f64 a b) (/.f64 eps a))) (+.f64 (/.f64 1 a) (/.f64 1 b))) (+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (.f64 eps -1/2))))
(if (<=.f64 b 783295979541065/822752278660603021077484591278675252491367932816789931674304512) (.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (*.f64 eps -1/2))))
(if (<=.f64 b 783295979541065/822752278660603021077484591278675252491367932816789931674304512) (.f64 (/.f64 1 b) (/.f64 (+.f64 a b) a)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 eps (.f64 eps b)) (*.f64 eps -1/2))))
(if (<=.f64 b 7055830268929661/883423532389192164791648750371459257913741948437809479060803100646309888) (*.f64 (/.f64 (+.f64 a b) a) (/.f64 1 b)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 7055830268929661/883423532389192164791648750371459257913741948437809479060803100646309888) (*.f64 (/.f64 1 b) (/.f64 (+.f64 a b) a)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 7055830268929661/883423532389192164791648750371459257913741948437809479060803100646309888) (/.f64 (/.f64 (+.f64 a b) a) b) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 a -1287722766416548906233349690884096) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 a -1287722766416548906233349690884096) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) (/.f64 (/.f64 (+.f64 a b) b) a))
(if (<=.f64 b 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (.f64 -1/2 eps) (/.f64 1 b)) (if (<=.f64 b 5234355795513929/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 1 a) (if (<=.f64 b 7090093087760173/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 1 b) (+.f64 (.f64 -1/2 eps) (/.f64 1 a)))))
(if (<=.f64 b 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (/.f64 1 b) (.f64 eps -1/2)) (if (<=.f64 b 5234355795513929/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 1 a) (if (<=.f64 b 7090093087760173/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 eps -1/2)))))
(if (<=.f64 b 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (*.f64 -1/2 eps) (/.f64 1 b)) (if (<=.f64 b 5234355795513929/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 1 a) (if (<=.f64 b 7090093087760173/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (/.f64 1 b) (*.f64 eps -1/2)) (if (<=.f64 b 5234355795513929/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 1 a) (if (<=.f64 b 7090093087760173/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 1 b) (/.f64 1 a))))
(if (<=.f64 b 1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 1 b) (if (<=.f64 b 5234355795513929/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 1 a) (if (<=.f64 b 7090093087760173/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 1 b) (/.f64 1 a))))
(/.f64 1 b)
(*.f64 -1/2 eps)
(*.f64 eps -1/2)

Compiler

Compiled 372 to 238 computations (36% saved)

soundness468.0ms (2.1%)

Algorithm

6×	egg-herbie

Rules

986×	`times-frac_binary64`
986×	`times-frac_binary64`
986×	`times-frac_binary64`
881×	`times-frac_binary64`
881×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 686 to 456 computations (33.5% saved)

end262.0ms (1.2%)

Compiler: Compiled 537 to 287 computations (46.6% saved)