Details

analyze2.3s (11.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	49.9%	50.1%	0
0%	49.9%	50.1%	1
0%	49.9%	50.1%	2
0%	49.9%	50.1%	3
0%	49.9%	50.1%	4
0%	49.9%	50.1%	5
0%	49.9%	50.1%	6
0%	49.9%	50.1%	7
0%	49.9%	50.1%	8
0.4%	49.5%	50.1%	9
0.4%	49.3%	50.3%	10
0.6%	48.9%	50.5%	11
1.1%	48.1%	50.9%	12
1.5%	47.3%	51.2%	13
1.7%	46.9%	51.5%	14

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample8.6s (44.3%)

Results

4.8s	4185×	body	2048	valid
1.8s	2481×	body	1024	valid
945.0ms	659×	body	1024	invalid
347.0ms	764×	body	512	valid
332.0ms	409×	body	2048	invalid
134.0ms	307×	body	512	invalid
90.0ms	542×	body	128	valid
85.0ms	272×	body	256	valid
51.0ms	321×	body	128	invalid
42.0ms	149×	body	256	invalid
22.0ms	12×	body	4096	valid

Compiler

Compiled 68 to 48 computations (29.4% saved)

preprocess42.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

333×	`div-sub_binary64`
265×	`fma-neg_binary64`
234×	`unswap-sqr_binary64`
205×	`associate-/l*_binary64`
191×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	112
1	146	112
2	314	112
3	789	112
4	3415	112
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

986×	`times-frac_binary64`
580×	`associate-/l*_binary64`
372×	`fma-def_binary64`
125×	`distribute-rgt-in_binary64`
122×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	47	28
2	108	28
3	271	28
4	989	28

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

31.7b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 87 to 54 computations (37.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 eps b))
✓	0.8b	(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps b)))
✓	12.8b	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))
✓	28.7b	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))

series79.0ms (0.4%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Expression
16.0ms	eps	@	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
9.0ms	b	@	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
8.0ms	a	@	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
7.0ms	a	@	(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps b)))
6.0ms	b	@	(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps b)))

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`prod-diff_binary64`
153×	`add-sqr-sqrt_binary64`
152×	`*-un-lft-identity_binary64`
152×	`pow1_binary64`
143×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	76
1	300	76
2	4270	76

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 (.f64 eps b)) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))) (neg.f64 (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) 1) (expm1.f64 (.f64 eps b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) 2)) (cbrt.f64 (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (sqrt.f64 (expm1.f64 (.f64 eps b)))) (sqrt.f64 (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))) eps) (neg.f64 (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (/.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a)))) (neg.f64 (expm1.f64 (.f64 eps b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 eps a))) (/.f64 1 (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 1 (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) 2)) (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 eps (+.f64 a b))) 2)) (.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 1 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 1 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 1 (neg.f64 (expm1.f64 (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 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simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

688×	`fma-def_binary64`
684×	`times-frac_binary64`
610×	`associate-/l*_binary64`
237×	`*-commutative_binary64`
216×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	662	9175
1	2339	8534

Stop Event

1×	node limit

Counts

253 → 208

Calls

Call 1

Inputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/12 (.f64 (pow.f64 eps 2) b)))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/12 (.f64 (pow.f64 eps 2) b))))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 4) (pow.f64 a 3))) (.f64 1/720 (.f64 (pow.f64 eps 4) (pow.f64 b 3)))))
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(-.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 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/12 (.f64 (pow.f64 eps 2) b)))))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 (.f64 1/12 (*.f64 eps eps)) b)))
(+.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (/.f64 1 b)) (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 a)))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/12 (.f64 (pow.f64 eps 2) b))))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 4) (pow.f64 a 3))) (.f64 1/720 (.f64 (pow.f64 eps 4) (pow.f64 b 3)))))
(-.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (+.f64 (+.f64 (/.f64 1 b) (/.f64 1 a)) (.f64 (.f64 1/12 (.f64 eps eps)) b))) (.f64 1/720 (+.f64 (.f64 (pow.f64 eps 4) (pow.f64 a 3)) (.f64 (pow.f64 eps 4) (pow.f64 b 3)))))
(+.f64 (+.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (/.f64 1 b)) (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 a))) (.f64 -1/720 (.f64 (pow.f64 eps 4) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (+.f64 (.f64 1/30240 (.f64 (pow.f64 eps 6) (pow.f64 a 5))) (+.f64 (.f64 1/30240 (.f64 (pow.f64 eps 6) (pow.f64 b 5))) (.f64 1/12 (.f64 (pow.f64 eps 2) b))))))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 4) (pow.f64 a 3))) (.f64 1/720 (.f64 (pow.f64 eps 4) (pow.f64 b 3)))))
(-.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (fma.f64 1/30240 (.f64 (pow.f64 eps 6) (pow.f64 a 5)) (fma.f64 1/30240 (.f64 (pow.f64 eps 6) (pow.f64 b 5)) (.f64 (.f64 1/12 (.f64 eps eps)) b)))))) (.f64 1/720 (+.f64 (.f64 (pow.f64 eps 4) (pow.f64 a 3)) (.f64 (pow.f64 eps 4) (pow.f64 b 3)))))
(+.f64 (+.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (/.f64 1 b)) (+.f64 (/.f64 1 a) (+.f64 (.f64 (.f64 1/30240 (pow.f64 eps 6)) (+.f64 (pow.f64 a 5) (pow.f64 b 5))) (.f64 (.f64 1/12 (.f64 eps eps)) b)))) (.f64 -1/720 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 a (-.f64 (.f64 eps (exp.f64 (*.f64 eps b))) eps)))
(/.f64 (.f64 eps (expm1.f64 (.f64 b eps))) (.f64 a (-.f64 (.f64 eps (pow.f64 (exp.f64 eps) b)) eps)))
(.f64 (/.f64 (/.f64 eps a) (.f64 eps (expm1.f64 (.f64 b eps)))) (expm1.f64 (.f64 b eps)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps b))) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2)) (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (.f64 a (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps))) (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (exp.f64 (.f64 eps b)) 2)) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (/.f64 eps (.f64 a (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps))))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 eps) b) (pow.f64 eps 3)) (pow.f64 (-.f64 (.f64 eps (pow.f64 (exp.f64 eps) b)) eps) 2)) (+.f64 (/.f64 (/.f64 (.f64 eps (pow.f64 (exp.f64 eps) b)) a) (-.f64 (.f64 eps (pow.f64 (exp.f64 eps) b)) eps)) (/.f64 (.f64 eps eps) (/.f64 (-.f64 (.f64 eps (pow.f64 (exp.f64 eps) b)) eps) (pow.f64 (exp.f64 eps) b))))) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (pow.f64 (exp.f64 eps) b) 2)) (pow.f64 (-.f64 (.f64 eps (pow.f64 (exp.f64 eps) b)) eps) 2)) (fma.f64 1/2 (/.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (.f64 eps (pow.f64 (exp.f64 eps) b)) eps) 2)) (/.f64 (/.f64 eps a) (-.f64 (.f64 eps (pow.f64 (exp.f64 eps) b)) eps)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 eps) b) (/.f64 (pow.f64 (.f64 eps (expm1.f64 (.f64 b eps))) 2) (pow.f64 eps 3))) (fma.f64 (/.f64 eps a) (/.f64 (pow.f64 (exp.f64 eps) b) (.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 (/.f64 (.f64 eps eps) (.f64 eps (expm1.f64 (.f64 b eps)))) (pow.f64 (exp.f64 eps) b)))) (fma.f64 1/2 (/.f64 (pow.f64 eps 3) (/.f64 (pow.f64 (.f64 eps (expm1.f64 (.f64 b eps))) 2) (pow.f64 (pow.f64 (exp.f64 eps) b) 2))) (fma.f64 1/2 (/.f64 (pow.f64 eps 3) (pow.f64 (.f64 eps (expm1.f64 (.f64 b eps))) 2)) (/.f64 (/.f64 eps a) (.f64 eps (expm1.f64 (.f64 b eps)))))))
(-.f64 (+.f64 (.f64 5/6 (/.f64 (.f64 (pow.f64 eps 4) (.f64 a (exp.f64 (.f64 eps b)))) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (+.f64 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps b))) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2)) (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (.f64 a (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 eps 5) (.f64 a (exp.f64 (.f64 eps b)))) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 eps 5) (.f64 a (pow.f64 (exp.f64 (.f64 eps b)) 3))) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 3))) (+.f64 (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps)) (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 3) (.f64 a (exp.f64 (.f64 eps b)))) (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps))))))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (exp.f64 (.f64 eps b)) 2)) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 eps 4) (.f64 a (pow.f64 (exp.f64 (.f64 eps b)) 2))) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 eps 5) a) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 3))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 eps 4) a) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 eps 5) (.f64 a (pow.f64 (exp.f64 (.f64 eps b)) 2))) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (/.f64 eps (.f64 a (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps))))))))))
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(fma.f64 b eps (fma.f64 1/6 (.f64 (pow.f64 b 3) (pow.f64 eps 3)) (.f64 1/2 (.f64 (.f64 b eps) (*.f64 b eps)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4))) (+.f64 (.f64 eps b) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (pow.f64 b 2))) (.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 eps b (fma.f64 1/2 (.f64 (.f64 eps eps) (.f64 b b)) (.f64 1/6 (.f64 (pow.f64 b 3) (pow.f64 eps 3))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 b 4)) (fma.f64 b eps (fma.f64 1/6 (.f64 (pow.f64 b 3) (pow.f64 eps 3)) (.f64 1/2 (.f64 (.f64 b eps) (.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))

prune186.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	203	5	208
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	203	6	209

Error

0.0b

Counts

209 → 6

Alt Table

Status	Error	Program
✓	31.7b	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
	58.0b	(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps b))) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2)) (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (.f64 a (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps))) (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (exp.f64 (.f64 eps b)) 2)) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (/.f64 eps (.f64 a (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps))))))
	52.7b	(exp.f64 (log.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
▶	6.2b	(+.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (/.f64 1 b)) (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 a)))
	15.6b	(/.f64 (+.f64 a b) (*.f64 a b))
	40.7b	(pow.f64 (cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 3)

Compiler

Compiled 13119 to 4735 computations (63.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/12 (.f64 a (.f64 eps eps)) (/.f64 1 b))
✓	0.0b	(fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 a))
✓	5.2b	(.f64 a (.f64 eps eps))
✓	6.7b	(.f64 b (.f64 eps eps))

series14.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Expression
1.0ms	b	@	(.f64 b (.f64 eps eps))
1.0ms	a	@	(fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 a))
1.0ms	b	@	(fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 a))
1.0ms	b	@	(fma.f64 1/12 (.f64 a (.f64 eps eps)) (/.f64 1 b))
1.0ms	eps	@	(.f64 b (.f64 eps eps))

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`log-prod_binary64`
227×	`expm1-udef_binary64`
227×	`log1p-udef_binary64`
198×	`log-pow_binary64`
188×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	267	42
2	3190	42

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

Inputs
(.f64 b (.f64 eps eps))
(.f64 a (.f64 eps eps))
(fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 a))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (/.f64 1 b))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 b (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (.f64 eps eps))) (cbrt.f64 (pow.f64 (exp.f64 b) (.f64 eps eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (.f64 eps eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 eps eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b (.f64 eps eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 b (.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (sqrt.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 b b) (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 b (.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (.f64 eps eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 b (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 b (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 b (*.f64 eps eps))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 eps (.f64 eps a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 eps eps))) (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 eps eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 eps eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 eps a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (.f64 eps a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps (.f64 eps a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps (.f64 eps a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 a a) (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps (.f64 eps a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps (.f64 eps a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (.f64 eps eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 eps (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 eps (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 eps (.f64 eps a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 eps (*.f64 eps a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 a) (.f64 (.f64 b (.f64 eps eps)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b (.f64 eps eps)) 1/12) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 b (.f64 eps eps)) 1/12) 1) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a)))) (cbrt.f64 (exp.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a)) 2)) (cbrt.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))) (sqrt.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 b (.f64 eps eps)) 1/12) 3) (pow.f64 (/.f64 1 a) 3)) (fma.f64 (.f64 (.f64 b (.f64 eps eps)) 1/12) (.f64 (.f64 b (.f64 eps eps)) 1/12) (-.f64 (pow.f64 a -2) (.f64 (.f64 (.f64 b (.f64 eps eps)) 1/12) (/.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 (.f64 b (.f64 eps eps)) 1/12) (.f64 (.f64 b (.f64 eps eps)) 1/12) (neg.f64 (pow.f64 a -2))) (fma.f64 (.f64 b (.f64 eps eps)) 1/12 (neg.f64 (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (/.f64 1 a)) (exp.f64 (.f64 (.f64 b (.f64 eps eps)) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 a))) (exp.f64 (.f64 (.f64 b (.f64 eps eps)) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (.f64 b (.f64 eps eps)) 1/12)) (+.f64 1 (expm1.f64 (/.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 1/12 b) (.f64 eps eps) (/.f64 1 a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 b) (.f64 (.f64 eps (.f64 eps a)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 eps (.f64 eps a)) 1/12) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 eps (.f64 eps a)) 1/12) 1) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b)))) (cbrt.f64 (exp.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))) 2) (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))) (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 eps (.f64 eps a)) 1/12) 3) (/.f64 (pow.f64 b -2) b)) (fma.f64 (.f64 (.f64 eps (.f64 eps a)) 1/12) (.f64 (.f64 eps (.f64 eps a)) 1/12) (-.f64 (pow.f64 b -2) (.f64 (.f64 (.f64 eps (.f64 eps a)) 1/12) (/.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps a)) 1/12) (.f64 (.f64 eps (.f64 eps a)) 1/12) (neg.f64 (pow.f64 b -2))) (-.f64 (.f64 (.f64 eps (.f64 eps a)) 1/12) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (/.f64 1 b)) (exp.f64 (.f64 (.f64 eps (.f64 eps a)) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 b))) (exp.f64 (.f64 (.f64 eps (.f64 eps a)) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (.f64 eps (.f64 eps a)) 1/12)) (+.f64 1 (expm1.f64 (/.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 eps (.f64 eps a)) 1/12 (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 eps (*.f64 eps a)) 1/12 (/.f64 1 b))) 1))))))

simplify124.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

603×	`sqr-pow_binary64`
417×	`associate-l_binary64`
359×	`*-commutative_binary64`
326×	`fabs-mul_binary64`
312×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	1290
1	32	1236
2	65	1236
3	147	1236
4	384	1236
5	1224	1236
6	1649	1236
7	2071	1236
8	2171	1236
9	2317	1236
10	2491	1236
11	2738	1236
12	3059	1236
13	3433	1236
14	3887	1236
15	4468	1236

Stop Event

1×	node limit

Counts

214 → 108

Calls

Call 1

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

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

prune98.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Error

0.0b

Counts

114 → 6

Alt Table

Status	Error	Program
✓	31.7b	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
	58.0b	(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps b))) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2)) (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (.f64 a (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps))) (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (exp.f64 (.f64 eps b)) 2)) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (/.f64 eps (.f64 a (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps))))))
	52.7b	(exp.f64 (log.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
✓	6.2b	(+.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (/.f64 1 b)) (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 a)))
▶	15.6b	(/.f64 (+.f64 a b) (*.f64 a b))
	40.7b	(pow.f64 (cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 3)

Compiler

Compiled 3214 to 1627 computations (49.4% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`log1p-expm1-u_binary64`
816×	`expm1-log1p-u_binary64`
73×	`add-sqr-sqrt_binary64`
72×	`*-un-lft-identity_binary64`
72×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	136	10
2	2139	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	204
1	10	204

Stop Event

1×

saturated

Counts

64 → 44

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

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 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 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 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 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))

prune36.0ms (0.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	44	6	50

Error

0.0b

Counts

50 → 6

Alt Table

Status	Error	Program
✓	31.7b	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
	58.0b	(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps b))) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2)) (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (.f64 a (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps))) (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (exp.f64 (.f64 eps b)) 2)) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (/.f64 eps (.f64 a (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps))))))
	52.7b	(exp.f64 (log.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
✓	6.2b	(+.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (/.f64 1 b)) (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 a)))
✓	15.6b	(/.f64 (+.f64 a b) (*.f64 a b))
▶	40.7b	(pow.f64 (cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 3)

Compiler

Compiled 900 to 346 computations (61.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps)
✓	0.5b	(cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 3)
✓	38.6b	(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))

series6.8s (35%)

Counts

4 → 112

Calls

36 calls:

Time	Variable		Expression
4.8s	b	@	(pow.f64 (cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 3)
1.8s	a	@	(pow.f64 (cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 3)
104.0ms	b	@	(cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
81.0ms	a	@	(cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
14.0ms	eps	@	(pow.f64 (cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 3)

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`prod-diff_binary64`
171×	`add-sqr-sqrt_binary64`
167×	`pow1_binary64`
166×	`*-un-lft-identity_binary64`
161×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	98
1	365	98
2	4795	98

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

Inputs
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
(pow.f64 (cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 3)
(cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps)

Outputs
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simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

621×	`fma-def_binary64`
457×	`times-frac_binary64`
408×	`associate-/l*_binary64`
264×	`associate-/r*_binary64`
221×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	569	6961
1	1936	6548

Stop Event

1×	node limit

Counts

305 → 200

Calls

Call 1

Inputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/12 (.f64 (pow.f64 eps 2) b)))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/12 (.f64 (pow.f64 eps 2) b))))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 4) (pow.f64 a 3))) (.f64 1/720 (.f64 (pow.f64 eps 4) (pow.f64 b 3)))))
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(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(*.f64 (pow.f64 eps 2) (+.f64 a b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (pow.f64 a 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (pow.f64 b 2))) (+.f64 (.f64 (pow.f64 eps 2) a) (+.f64 (.f64 (pow.f64 eps 3) (.f64 a b)) (.f64 (pow.f64 eps 2) b)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (pow.f64 a 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 2) b))) (+.f64 (.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 1/2 (.f64 (pow.f64 eps 4) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 (pow.f64 eps 3) (.f64 a b)) (+.f64 (.f64 (pow.f64 eps 2) b) (+.f64 (.f64 (pow.f64 eps 2) a) (.f64 1/6 (.f64 (pow.f64 eps 4) (pow.f64 a 3)))))))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (pow.f64 a 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (pow.f64 b 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 2) b))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 5) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 4) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 (pow.f64 eps 3) (.f64 a b)) (+.f64 (.f64 (pow.f64 eps 2) b) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (pow.f64 a 3))) (+.f64 (.f64 (pow.f64 eps 2) a) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 5) (pow.f64 a 4))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 5) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 5) (pow.f64 b 4))) (.f64 1/6 (.f64 (pow.f64 eps 5) (*.f64 (pow.f64 a 3) b))))))))))))))))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1))
(-.f64 (+.f64 (.f64 eps (exp.f64 (.f64 eps b))) (.f64 (pow.f64 eps 2) (.f64 a (exp.f64 (*.f64 eps b))))) eps)
(-.f64 (+.f64 (.f64 eps (exp.f64 (.f64 eps b))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 a (exp.f64 (.f64 eps b)))) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 2) (exp.f64 (*.f64 eps b))))))) eps)
(-.f64 (+.f64 (.f64 eps (exp.f64 (.f64 eps b))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 3) (exp.f64 (.f64 eps b))))) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 2) (exp.f64 (*.f64 eps b)))))))) eps)
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1))
(-.f64 (+.f64 (.f64 eps (exp.f64 (.f64 eps a))) (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (*.f64 eps a)) b))) eps)
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 eps a)) (pow.f64 b 2)))) (+.f64 (.f64 eps (exp.f64 (.f64 eps a))) (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (*.f64 eps a)) b)))) eps)
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 eps a)) (pow.f64 b 2)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (exp.f64 (.f64 eps a)) (pow.f64 b 3)))) (+.f64 (.f64 eps (exp.f64 (.f64 eps a))) (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (*.f64 eps a)) b))))) eps)
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))

Outputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/12 (.f64 (pow.f64 eps 2) b)))))
(fma.f64 1/12 (.f64 a (.f64 eps eps)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/12 (.f64 b (*.f64 eps eps))))))
(+.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (/.f64 1 b)) (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 a)))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/12 (.f64 (pow.f64 eps 2) b))))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 4) (pow.f64 a 3))) (.f64 1/720 (.f64 (pow.f64 eps 4) (pow.f64 b 3)))))
(-.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (.f64 1/12 (.f64 b (.f64 eps eps)))))) (.f64 1/720 (+.f64 (.f64 (pow.f64 eps 4) (pow.f64 a 3)) (.f64 (pow.f64 eps 4) (pow.f64 b 3)))))
(+.f64 (+.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (/.f64 1 b)) (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 a))) (.f64 -1/720 (.f64 (pow.f64 eps 4) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 2) a)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (+.f64 (.f64 1/30240 (.f64 (pow.f64 eps 6) (pow.f64 a 5))) (+.f64 (.f64 1/30240 (.f64 (pow.f64 eps 6) (pow.f64 b 5))) (.f64 1/12 (.f64 (pow.f64 eps 2) b))))))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 4) (pow.f64 a 3))) (.f64 1/720 (.f64 (pow.f64 eps 4) (pow.f64 b 3)))))
(-.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 1 a) (fma.f64 1/30240 (.f64 (pow.f64 eps 6) (pow.f64 a 5)) (fma.f64 1/30240 (.f64 (pow.f64 eps 6) (pow.f64 b 5)) (.f64 1/12 (.f64 b (.f64 eps eps)))))))) (.f64 1/720 (+.f64 (.f64 (pow.f64 eps 4) (pow.f64 a 3)) (.f64 (pow.f64 eps 4) (pow.f64 b 3)))))
(+.f64 (+.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (/.f64 1 b)) (+.f64 (/.f64 1 a) (+.f64 (.f64 (.f64 1/30240 (pow.f64 eps 6)) (+.f64 (pow.f64 a 5) (pow.f64 b 5))) (.f64 (.f64 1/12 (.f64 eps eps)) b)))) (.f64 -1/720 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 eps (/.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))) (expm1.f64 (*.f64 (+.f64 a b) eps))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 eps (/.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))) (expm1.f64 (*.f64 (+.f64 a b) eps))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 eps (/.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))) (expm1.f64 (*.f64 (+.f64 a b) eps))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 eps (/.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))) (expm1.f64 (*.f64 (+.f64 a b) eps))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 eps (/.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))) (expm1.f64 (*.f64 (+.f64 a b) eps))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 eps (/.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))) (expm1.f64 (*.f64 (+.f64 a b) eps))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 eps (/.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))) (expm1.f64 (*.f64 (+.f64 a b) eps))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1)) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 eps a)) (exp.f64 (.f64 eps b))) 1) (+.f64 (exp.f64 (.f64 eps a)) (exp.f64 (*.f64 eps b)))))
(/.f64 eps (/.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) (+.f64 a b))) (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))) (expm1.f64 (*.f64 (+.f64 a b) eps))))
(.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 eps) a) (pow.f64 (exp.f64 eps) b))))) (expm1.f64 (.f64 (+.f64 a b) eps)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1)) (.f64 a (-.f64 (.f64 eps (exp.f64 (*.f64 eps b))) eps)))
(/.f64 (.f64 eps (expm1.f64 (.f64 b eps))) (.f64 a (-.f64 (.f64 eps (pow.f64 (exp.f64 eps) b)) eps)))
(.f64 (/.f64 eps a) (/.f64 (expm1.f64 (.f64 b eps)) (.f64 eps (expm1.f64 (.f64 b eps)))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 eps 3) (exp.f64 (.f64 eps b))) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2)) (+.f64 (/.f64 (.f64 eps (exp.f64 (.f64 eps b))) (.f64 a (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps))) (/.f64 (.f64 (pow.f64 eps 2) (exp.f64 (.f64 eps b))) (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 3) (pow.f64 (exp.f64 (.f64 eps b)) 2)) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps) 2))) (/.f64 eps (.f64 a (-.f64 (.f64 eps (exp.f64 (.f64 eps b))) eps))))))
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(*.f64 (pow.f64 eps 2) (+.f64 a b))
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(fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)) (fma.f64 1/2 (.f64 (pow.f64 eps 4) (.f64 b (.f64 a a))) (fma.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 1/2 (.f64 (pow.f64 eps 4) (.f64 a (.f64 b b))) (fma.f64 (pow.f64 eps 3) (.f64 a b) (fma.f64 (.f64 eps eps) b (fma.f64 (.f64 eps eps) a (.f64 (.f64 (pow.f64 eps 4) (pow.f64 a 3)) 1/6)))))))))
(fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)) (fma.f64 1/2 (.f64 (pow.f64 eps 4) (.f64 b (.f64 a a))) (fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b b)) (fma.f64 (.f64 (pow.f64 eps 4) (pow.f64 b 3)) 1/6 (fma.f64 1/2 (.f64 (pow.f64 eps 4) (.f64 a (.f64 b b))) (fma.f64 (.f64 a b) (pow.f64 eps 3) (+.f64 (.f64 (+.f64 a b) (.f64 eps eps)) (.f64 (.f64 (pow.f64 eps 4) (pow.f64 a 3)) 1/6))))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (pow.f64 a 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (pow.f64 b 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 2) b))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 5) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 4) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 (pow.f64 eps 3) (.f64 a b)) (+.f64 (.f64 (pow.f64 eps 2) b) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (pow.f64 a 3))) (+.f64 (.f64 (pow.f64 eps 2) a) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 5) (pow.f64 a 4))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 5) (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 5) (pow.f64 b 4))) (.f64 1/6 (.f64 (pow.f64 eps 5) (*.f64 (pow.f64 a 3) b))))))))))))))))
(fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 a a)) (fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 b b)) (fma.f64 1/2 (.f64 (pow.f64 eps 4) (.f64 b (.f64 a a))) (fma.f64 1/6 (.f64 (pow.f64 eps 5) (.f64 a (pow.f64 b 3))) (fma.f64 1/6 (.f64 (pow.f64 eps 4) (pow.f64 b 3)) (fma.f64 1/2 (.f64 (pow.f64 eps 4) (.f64 a (.f64 b b))) (fma.f64 (pow.f64 eps 3) (.f64 a b) (fma.f64 (.f64 eps eps) b (fma.f64 1/6 (.f64 (pow.f64 eps 4) (pow.f64 a 3)) (fma.f64 (.f64 eps eps) a (fma.f64 1/24 (.f64 (pow.f64 eps 5) (pow.f64 a 4)) (fma.f64 1/4 (.f64 (pow.f64 eps 5) (.f64 (.f64 a a) (.f64 b b))) (fma.f64 1/24 (.f64 (pow.f64 eps 5) (pow.f64 b 4)) (.f64 1/6 (.f64 (pow.f64 eps 5) (.f64 b (pow.f64 a 3)))))))))))))))))
(+.f64 (.f64 (.f64 1/2 (pow.f64 eps 3)) (+.f64 (.f64 a a) (.f64 b b))) (fma.f64 1/2 (.f64 (pow.f64 eps 4) (.f64 b (.f64 a a))) (fma.f64 1/6 (.f64 (pow.f64 eps 5) (.f64 a (pow.f64 b 3))) (fma.f64 (.f64 (pow.f64 eps 4) (pow.f64 b 3)) 1/6 (fma.f64 1/2 (.f64 (pow.f64 eps 4) (.f64 a (.f64 b b))) (fma.f64 (.f64 a b) (pow.f64 eps 3) (fma.f64 b (.f64 eps eps) (fma.f64 (.f64 (pow.f64 eps 4) (pow.f64 a 3)) 1/6 (fma.f64 a (.f64 eps eps) (fma.f64 1/24 (.f64 (pow.f64 eps 5) (pow.f64 a 4)) (fma.f64 1/4 (.f64 (.f64 (pow.f64 eps 5) (.f64 a a)) (.f64 b b)) (fma.f64 1/6 (.f64 (pow.f64 eps 5) (.f64 b (pow.f64 a 3))) (.f64 1/24 (.f64 (pow.f64 eps 5) (pow.f64 b 4)))))))))))))))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps b)) 1))
(.f64 eps (expm1.f64 (.f64 b eps)))
(-.f64 (+.f64 (.f64 eps (exp.f64 (.f64 eps b))) (.f64 (pow.f64 eps 2) (.f64 a (exp.f64 (*.f64 eps b))))) eps)
(-.f64 (fma.f64 eps (pow.f64 (exp.f64 eps) b) (.f64 (.f64 eps eps) (*.f64 a (pow.f64 (exp.f64 eps) b)))) eps)
(-.f64 (.f64 (pow.f64 (exp.f64 eps) b) (+.f64 eps (.f64 a (*.f64 eps eps)))) eps)
(-.f64 (+.f64 (.f64 eps (exp.f64 (.f64 eps b))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 a (exp.f64 (.f64 eps b)))) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 2) (exp.f64 (*.f64 eps b))))))) eps)
(-.f64 (fma.f64 eps (pow.f64 (exp.f64 eps) b) (fma.f64 (.f64 eps eps) (.f64 a (pow.f64 (exp.f64 eps) b)) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 (exp.f64 eps) b) (.f64 a a)))))) eps)
(-.f64 (+.f64 (.f64 (pow.f64 (exp.f64 eps) b) (+.f64 eps (.f64 a (.f64 eps eps)))) (.f64 1/2 (.f64 (.f64 (pow.f64 eps 3) (*.f64 a a)) (pow.f64 (exp.f64 eps) b)))) eps)
(-.f64 (+.f64 (.f64 eps (exp.f64 (.f64 eps b))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 a (exp.f64 (.f64 eps b)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 3) (exp.f64 (.f64 eps b))))) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 a 2) (exp.f64 (*.f64 eps b)))))))) eps)
(-.f64 (fma.f64 eps (pow.f64 (exp.f64 eps) b) (fma.f64 (.f64 eps eps) (.f64 a (pow.f64 (exp.f64 eps) b)) (fma.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 3) (pow.f64 (exp.f64 eps) b))) (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 (exp.f64 eps) b) (.f64 a a))))))) eps)
(-.f64 (+.f64 (.f64 (pow.f64 (exp.f64 eps) b) (+.f64 eps (.f64 a (.f64 eps eps)))) (fma.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 a 3) (pow.f64 (exp.f64 eps) b))) (.f64 1/2 (.f64 (.f64 (pow.f64 eps 3) (*.f64 a a)) (pow.f64 (exp.f64 eps) b))))) eps)
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps a)) 1))
(.f64 eps (expm1.f64 (.f64 a eps)))
(-.f64 (+.f64 (.f64 eps (exp.f64 (.f64 eps a))) (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (*.f64 eps a)) b))) eps)
(-.f64 (fma.f64 eps (pow.f64 (exp.f64 eps) a) (.f64 (.f64 eps eps) (*.f64 b (pow.f64 (exp.f64 eps) a)))) eps)
(-.f64 (fma.f64 eps (pow.f64 (exp.f64 eps) a) (.f64 (.f64 (*.f64 eps eps) (pow.f64 (exp.f64 eps) a)) b)) eps)
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 eps a)) (pow.f64 b 2)))) (+.f64 (.f64 eps (exp.f64 (.f64 eps a))) (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (*.f64 eps a)) b)))) eps)
(-.f64 (fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 (exp.f64 eps) a) (.f64 b b))) (fma.f64 eps (pow.f64 (exp.f64 eps) a) (.f64 (.f64 eps eps) (.f64 b (pow.f64 (exp.f64 eps) a))))) eps)
(fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 (exp.f64 eps) a) (.f64 b b))) (-.f64 (fma.f64 eps (pow.f64 (exp.f64 eps) a) (.f64 (.f64 (.f64 eps eps) (pow.f64 (exp.f64 eps) a)) b)) eps))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 eps a)) (pow.f64 b 2)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (exp.f64 (.f64 eps a)) (pow.f64 b 3)))) (+.f64 (.f64 eps (exp.f64 (.f64 eps a))) (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (*.f64 eps a)) b))))) eps)
(-.f64 (fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 (exp.f64 eps) a) (.f64 b b))) (fma.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 b 3) (pow.f64 (exp.f64 eps) a))) (fma.f64 eps (pow.f64 (exp.f64 eps) a) (.f64 (.f64 eps eps) (.f64 b (pow.f64 (exp.f64 eps) a)))))) eps)
(-.f64 (fma.f64 1/2 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 (exp.f64 eps) a) (.f64 b b))) (fma.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 b 3) (pow.f64 (exp.f64 eps) a))) (fma.f64 eps (pow.f64 (exp.f64 eps) a) (.f64 (.f64 (.f64 eps eps) (pow.f64 (exp.f64 eps) a)) b)))) eps)
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))
(.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) 1))
(.f64 eps (expm1.f64 (.f64 (+.f64 a b) eps)))

prune146.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	2	0	2
Picked	0	1	1
Done	0	3	3
Total	200	6	206

Error

0.0b

Counts

206 → 6

Alt Table

Status	Error	Program
✓	31.7b	(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
✓	6.2b	(+.f64 (fma.f64 1/12 (.f64 a (.f64 eps eps)) (/.f64 1 b)) (fma.f64 1/12 (.f64 b (.f64 eps eps)) (/.f64 1 a)))
✓	15.6b	(/.f64 (+.f64 a b) (*.f64 a b))
✓	40.7b	(pow.f64 (cbrt.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) 3)
	50.8b	(/.f64 (sqrt.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))) (/.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))) (sqrt.f64 (.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))))))
	48.1b	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (/.f64 eps (expm1.f64 (.f64 eps b))))))) 3)

Compiler

Compiled 10843 to 4092 computations (62.3% saved)

regimes225.0ms (1.2%)

Accuracy

Total 0.5b remaining (93.3%)

Threshold costs 0.5b (93.3%)

Counts

107 → 3

Compiler

Compiled 1898 to 527 computations (72.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

0.0ms

(/.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)))

0.0ms

(/.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)))

Steps

Iters	Point		Range
2e-33	∈ [	1.2408355512767039e-33	,	#hash((type . real) (value . +inf))	]
#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-2.5342356516674482e-14	]

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
3×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	135
1	55	135
2	58	135

Stop Event

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) (pow.f64 (/.f64 a (/.f64 (+.f64 a b) b)) -1) (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))) 1461501637330903/730750818665451459101842416358141509827966271488) (/.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))) eps) (expm1.f64 (*.f64 eps b))) (+.f64 (/.f64 1 a) (/.f64 1 b))))

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) (pow.f64 (/.f64 a (/.f64 (+.f64 a b) b)) -1) (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))) 1461501637330903/730750818665451459101842416358141509827966271488) (/.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))) eps) (expm1.f64 (*.f64 eps 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) (pow.f64 (/.f64 a (/.f64 (+.f64 a b) b)) -1) (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))) 1461501637330903/730750818665451459101842416358141509827966271488) (/.f64 (*.f64 eps (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))) (expm1.f64 (*.f64 eps b))) (+.f64 (/.f64 1 a) (/.f64 1 b))))

end257.0ms (1.3%)

Stop Event

1×

fuel

Compiler

Compiled 501 to 279 computations (44.3% saved)

Details

analyze2.3s (11.7%)

sample8.6s (44.3%)

preprocess42.0ms (0.2%)

simplify16.0ms (0.1%)

prune4.0ms (0%)

localize12.0ms (0.1%)

series79.0ms (0.4%)

rewrite77.0ms (0.4%)

simplify113.0ms (0.6%)

prune186.0ms (1%)

localize11.0ms (0.1%)

series14.0ms (0.1%)

rewrite52.0ms (0.3%)

simplify124.0ms (0.6%)

prune98.0ms (0.5%)

localize4.0ms (0%)

series4.0ms (0%)

rewrite42.0ms (0.2%)

simplify8.0ms (0%)

prune36.0ms (0.2%)

localize17.0ms (0.1%)

series6.8s (35%)

rewrite106.0ms (0.5%)

simplify81.0ms (0.4%)

prune146.0ms (0.8%)

regimes225.0ms (1.2%)

bsearch1.0ms (0%)

simplify4.0ms (0%)

end257.0ms (1.3%)

Profiling