Details

analyze19.0ms (0.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	37.5%	62.5%	0%	0%	0%	0
0%	0%	37.5%	62.5%	0%	0%	0%	1
0%	0%	18.7%	81.3%	0%	0%	0%	2
0%	0%	9.4%	90.6%	0%	0%	0%	3
0%	0%	9.4%	90.6%	0%	0%	0%	4
0%	0%	7%	93%	0%	0%	0%	5
20%	1.2%	4.7%	94.1%	0%	0%	0%	6
25%	1.2%	3.5%	95.3%	0%	0%	0%	7
40%	1.8%	2.6%	95.6%	0%	0%	0%	8
51.9%	2%	1.9%	96%	0%	0%	0%	9
64.7%	2.4%	1.3%	96.3%	0%	0%	0%	10
72.9%	2.6%	1%	96.5%	0%	0%	0%	11
80.2%	2.7%	0.7%	96.6%	0%	0%	0%	12

Compiler

Compiled 26 to 15 computations (42.3% saved)

sample997.0ms (30.3%)

Results

892.0ms	8256×	body	256	valid
93.0ms	850×	body	256	precondition

Bogosity

preprocess46.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1374×	`associate--r+`
1016×	`associate-+r-`
856×	`associate--l+`
766×	`associate-+l-`
676×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	78
1	50	66
2	136	58
3	401	58
4	1393	58
5	5548	58
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 a a (neg.f64 (.f64 b b))) (.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 a b) (/.f64 a b)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 a b) (/.f64 a b) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 a (/.f64 a (*.f64 b b)) -1)))

Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify65.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate-/r*`
1236×	`associate-r`
1210×	`associate-l`
1098×	`fma-def`
1022×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	29	33
2	75	29
3	204	29
4	593	29
5	1911	29
6	7754	29

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

eval1.0ms (0%)

Compiler: Compiled 59 to 29 computations (50.8% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.36%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
▶	0.01%	(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))

Compiler

Compiled 28 to 16 computations (42.9% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
✓	0.57%	(*.f64 (/.f64 b a) (/.f64 b a))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite78.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`associate-*l/`
1190×	`associate-/r*`
1004×	`*-commutative`
930×	`associate-/l*`
298×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	236	36
2	3196	36

Stop Event

1×	node limit

Counts

2 → 173

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 b a) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (.f64 a (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b a) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 a b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 b a)) (/.f64 a (/.f64 b (sqrt.f64 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 b a)) (/.f64 (/.f64 a b) (sqrt.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 (.f64 a a) (.f64 b (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 a (.f64 (/.f64 b a) (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 (.f64 a (/.f64 a b)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 (/.f64 a b) (.f64 (sqrt.f64 b) (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 (.f64 (/.f64 a b) (neg.f64 a)) (neg.f64 (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (.f64 (/.f64 a b) (/.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 b a)) (/.f64 (/.f64 a b) (pow.f64 (cbrt.f64 (/.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (/.f64 (/.f64 a b) (cbrt.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (/.f64 a (.f64 b (cbrt.f64 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 b) (/.f64 (.f64 a (/.f64 a b)) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (.f64 a (/.f64 a b)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (/.f64 a b) (.f64 (cbrt.f64 b) (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (.f64 a a) (.f64 b (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (.f64 (/.f64 b a) (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (.f64 (/.f64 a b) (neg.f64 a)) (neg.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (/.f64 a b) (/.f64 a (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b b) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b b) (/.f64 a (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (/.f64 a b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 b) a) (neg.f64 (/.f64 a 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 (neg.f64 b) (.f64 (/.f64 a b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (/.f64 (/.f64 a b) (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (/.f64 (.f64 (/.f64 a b) (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 b (/.f64 a b))) (/.f64 a (sqrt.f64 (/.f64 b (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 b (/.f64 a b))) (.f64 (/.f64 a b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4))) (/.f64 (/.f64 a b) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 b)) (/.f64 (.f64 (/.f64 a b) (neg.f64 a)) (sqrt.f64 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (/.f64 b (/.f64 a b))) (cbrt.f64 (/.f64 b (/.f64 a b)))) (/.f64 a (cbrt.f64 (/.f64 b (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (neg.f64 b)) (cbrt.f64 (neg.f64 b))) (/.f64 (.f64 (/.f64 a b) (neg.f64 a)) (cbrt.f64 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 b a) (sqrt.f64 (/.f64 a b))) (sqrt.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (.f64 a a) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (neg.f64 a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (sqrt.f64 b)) (/.f64 (.f64 a a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (/.f64 a (sqrt.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) (/.f64 a (cbrt.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b a) (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b a) (pow.f64 (cbrt.f64 b) 2)) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (/.f64 (.f64 a a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (.f64 a a)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (neg.f64 b)) (.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (.f64 (sqrt.f64 a) (/.f64 a b))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 a b))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (/.f64 a b) (/.f64 b (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 a b) (/.f64 b (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) (.f64 a (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (/.f64 a (/.f64 b (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (.f64 (/.f64 a b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (.f64 (/.f64 a b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (.f64 (/.f64 a b) (neg.f64 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (/.f64 a b) (neg.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 b)) (/.f64 (.f64 (/.f64 a b) (neg.f64 a)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (.f64 (/.f64 a b) (neg.f64 a)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 b b)) (neg.f64 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 b (/.f64 a b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 b)) (.f64 (/.f64 a b) (neg.f64 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 b (sqrt.f64 a)) a) (/.f64 (sqrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 b a) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (/.f64 a b) (/.f64 (sqrt.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 a b) (/.f64 (sqrt.f64 b) (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (/.f64 a b) (/.f64 (cbrt.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (/.f64 a b) (/.f64 (cbrt.f64 b) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (/.f64 b (/.f64 a b))) (/.f64 b a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b (sqrt.f64 a)) (/.f64 b a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (/.f64 b a)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (neg.f64 b)) (/.f64 b a)) (neg.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (neg.f64 b) (neg.f64 b)) 1) (.f64 (neg.f64 a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b (neg.f64 b)) 1) (.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (/.f64 b a) (neg.f64 b)) 1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b (.f64 (sqrt.f64 a) (/.f64 a b))) 1) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b (.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 a b))) 1) (cbrt.f64 a))))) 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) (+.f64 1 (pow.f64 (/.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) 1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) (+.f64 1 (pow.f64 (/.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) 1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) (+.f64 1 (pow.f64 (/.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))

simplify180.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1156×	`associate-/l*`
866×	`distribute-lft-in`
856×	`times-frac`
854×	`distribute-rgt-in`
808×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	461	6033
1	1229	5969
2	6111	5969

Stop Event

1×	node limit

Counts

221 → 245

Calls

Call 1

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

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

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
✓	0.02%	(-.f64 (.f64 a a) (.f64 b b))
✓	17.83%	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Compiler

Compiled 53 to 8 computations (84.9% saved)

series4.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite150.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`distribute-rgt-in`
900×	`distribute-lft-in`
650×	`associate-/l/`
524×	`distribute-lft-neg-in`
490×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	89
1	251	73
2	3891	73

Stop Event

1×	node limit

Counts

3 → 267

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (neg.f64 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a a) (neg.f64 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (*.f64 b b) 0))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (*.f64 b b) 0))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (*.f64 b b) 0))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (*.f64 (*.f64 b b) 0))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 (*.f64 b b) (pow.f64 a -2))) 1/4) (pow.f64 (-.f64 1 (*.f64 (*.f64 b b) (pow.f64 a -2))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (sqrt.f64 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)) (cbrt.f64 (-.f64 1 (*.f64 (*.f64 b b) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 (*.f64 b b) (pow.f64 a -2)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (*.f64 b b) (pow.f64 a -2)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (*.f64 b b) (pow.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (*.f64 b b) (pow.f64 a -2)))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (*.f64 b b) (pow.f64 a -2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 (/.f64 a (+.f64 a b)) (/.f64 a (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (neg.f64 a)))) (sqrt.f64 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (*.f64 a (sqrt.f64 (+.f64 (pow.f64 (*.f64 a b) 2) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 a (sqrt.f64 (fma.f64 a a (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 (*.f64 b b) (pow.f64 a -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 (*.f64 b b) (pow.f64 a -2))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 (*.f64 b b) (pow.f64 a -2))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (*.f64 b b) (pow.f64 a -2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1 (*.f64 (*.f64 b b) (pow.f64 a -2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))))

simplify124.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

910×	`associate-r`
878×	`fma-def`
782×	`associate-l`
546×	`*-commutative`
466×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	619	12199
1	1764	10543

Stop Event

1×	node limit

Counts

339 → 351

Calls

Call 1

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

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

eval209.0ms (6.4%)

Compiler: Compiled 12344 to 5891 computations (52.3% saved)

prune113.0ms (3.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	595	1	596
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	596	2	598

Error

Counts

598 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(sqrt.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))
✓	18.36%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(sqrt.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))
	0.57%	(*.f64 (/.f64 b a) (/.f64 b a))

Compiler

Compiled 34 to 10 computations (70.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`associate-*l/`
1168×	`associate-/r*`
976×	`*-commutative`
932×	`associate-/l*`
346×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	213	23
2	2855	23

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) 1) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) 1) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))

simplify70.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1598×	`unswap-sqr`
1540×	`times-frac`
626×	`associate-/l*`
566×	`associate-r`
536×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	2580
1	336	2400
2	1038	2304
3	4697	2176

Stop Event

1×	node limit

Counts

54 → 94

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) b) a) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) b) a) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
(.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a)) (.f64 -1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (.f64 -1/2 (/.f64 a (.f64 (sqrt.f64 -1) b)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (.f64 -1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) b) a) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) b) a) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 1 1/2))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) 1) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) 1) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))
(+.f64 1 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(/.f64 (sqrt.f64 -1) (/.f64 a b))
(*.f64 (/.f64 (sqrt.f64 -1) a) b)
(*.f64 b (/.f64 (sqrt.f64 -1) a))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) b) a) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (.f64 -1/8 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (.f64 (.f64 (pow.f64 b 3) (sqrt.f64 -1)) -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 b (/.f64 (sqrt.f64 -1) a))))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) b) a) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (.f64 (.f64 (pow.f64 b 3) (sqrt.f64 -1)) -1)) (/.f64 (/.f64 (.f64 1/16 (pow.f64 a 5)) (pow.f64 b 5)) (pow.f64 (sqrt.f64 -1) 5))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1))))))
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))))
(.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a))
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(/.f64 (neg.f64 (*.f64 b (sqrt.f64 -1))) a)
(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b))
(*.f64 b (neg.f64 (/.f64 (sqrt.f64 -1) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a)) (.f64 -1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b)))
(-.f64 (.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))) (.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (/.f64 (/.f64 -1/2 (/.f64 b a)) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(-.f64 (.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 -1/2 b)) (.f64 b (/.f64 (sqrt.f64 -1) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (.f64 -1/2 (/.f64 a (.f64 (sqrt.f64 -1) b)))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (.f64 (/.f64 (pow.f64 a 3) (.f64 (.f64 (pow.f64 b 3) (sqrt.f64 -1)) -1)) 1/8)) (.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (/.f64 (/.f64 1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1)))) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(-.f64 (.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 -1/2 b)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (.f64 b (/.f64 (sqrt.f64 -1) a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (.f64 -1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b)))))
(-.f64 (fma.f64 (/.f64 (pow.f64 a 3) (.f64 (.f64 (pow.f64 b 3) (sqrt.f64 -1)) -1)) 1/8 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (/.f64 (/.f64 (.f64 -1/16 (pow.f64 a 5)) (pow.f64 b 5)) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (/.f64 (/.f64 1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1))))) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 -1/2 b))) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (.f64 b (/.f64 (sqrt.f64 -1) a))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(/.f64 (sqrt.f64 -1) (/.f64 a b))
(*.f64 (/.f64 (sqrt.f64 -1) a) b)
(*.f64 b (/.f64 (sqrt.f64 -1) a))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) b) a) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (.f64 -1/8 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (.f64 (.f64 (pow.f64 b 3) (sqrt.f64 -1)) -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 b (/.f64 (sqrt.f64 -1) a))))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) b) a) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (.f64 (.f64 (pow.f64 b 3) (sqrt.f64 -1)) -1)) (/.f64 (/.f64 (.f64 1/16 (pow.f64 a 5)) (pow.f64 b 5)) (pow.f64 (sqrt.f64 -1) 5))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1))))))
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))
(+.f64 1 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))
(+.f64 1 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 1 1/2))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3/2)
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3/2)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3/2)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (hypot.f64 1 (/.f64 b a)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) 1) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) 1) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (hypot.f64 1 (/.f64 b a)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2)))))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))

eval82.0ms (2.5%)

Compiler: Compiled 5167 to 2735 computations (47.1% saved)

prune46.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	294	2	296
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	295	3	298

Error

Counts

298 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.66%	(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
✓	0.01%	(sqrt.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))
	1.72%	1

Compiler

Compiled 28 to 19 computations (32.1% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a)))
✓	38.8%	(/.f64 (.f64 b b) (.f64 a a))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1980×	`add-sqr-sqrt`
1958×	`*-un-lft-identity`
1834×	`add-cube-cbrt`
1812×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	192	32
2	2691	32

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate-/l*`
944×	`times-frac`
848×	`unswap-sqr`
844×	`associate-+l-`
826×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	152	2593
1	389	1969
2	1631	1969
3	6584	1969

Stop Event

1×	node limit

Counts

109 → 81

Calls

Call 1

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

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

eval20.0ms (0.6%)

Compiler: Compiled 1080 to 718 computations (33.5% saved)

prune21.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	81	3	84

Error

Counts

84 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.35%	(+.f64 1 (/.f64 (*.f64 (/.f64 b (/.f64 a b)) -1/2) a))
✓	0.01%	(sqrt.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))
	1.72%	1

Compiler

Compiled 28 to 19 computations (32.1% saved)

localize75.0ms (2.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 (/.f64 b (/.f64 a b)) -1/2)
✓	0.21%	(/.f64 b (/.f64 a b))
✓	17.3%	(/.f64 (*.f64 (/.f64 b (/.f64 a b)) -1/2) a)

Compiler

Compiled 41 to 16 computations (61% saved)

series3.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite246.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`associate-/r/`
1100×	`*-commutative`
828×	`associate-/l/`
738×	`swap-sqr`
714×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	200	51
2	2887	51

Stop Event

1×	node limit

Counts

3 → 205

Calls

Call 1

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

Outputs

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

simplify114.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1230×	`distribute-rgt-in`
1218×	`distribute-lft-in`
976×	`associate-/l*`
734×	`associate-l`
718×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	453	6791
1	1296	5921
2	6007	5921

Stop Event

1×	node limit

Counts

277 → 243

Calls

Call 1

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

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

eval88.0ms (2.7%)

Compiler: Compiled 4178 to 2261 computations (45.9% saved)

prune74.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	243	3	246

Error

Counts

246 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.35%	(+.f64 1 (/.f64 (*.f64 (/.f64 b (/.f64 a b)) -1/2) a))
✓	0.01%	(sqrt.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))
	1.72%	1

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes24.0ms (0.7%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))

Calls

7 calls:

5.0ms	a
4.0ms	b
4.0ms	(*.f64 a a)
3.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Results

Error	Segments	Branch
0.01%	1	`a`
0.01%	1	`b`
0.01%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
0.01%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
0.01%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
0.01%	1	`(*.f64 a a)`
0.01%	1	`(*.f64 b b)`

Compiler

Compiled 117 to 61 computations (47.9% saved)

regimes40.0ms (1.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	a
3.0ms	b
3.0ms	(*.f64 a a)
2.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.35%	1	`a`
0.35%	1	`b`
0.35%	1	`(*.f64 a a)`
0.35%	1	`(*.f64 b b)`

Compiler

Compiled 41 to 27 computations (34.1% saved)

regimes12.0ms (0.4%)

Accuracy

Total -11.5b remaining (-1051.8%)

Threshold costs -11.5b (-1051.8%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

4 calls:

3.0ms	a
3.0ms	b
3.0ms	(*.f64 a a)
2.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.72%	1	`a`
1.72%	1	`b`
1.72%	1	`(*.f64 a a)`
1.72%	1	`(*.f64 b b)`

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
10×	`*-commutative`
6×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	61
1	25	61
2	35	61
3	41	61
4	45	61
5	46	61

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 28 to 19 computations (32.1% saved)

soundness89.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

910×	`associate-r`
878×	`fma-def`
782×	`associate-l`
546×	`*-commutative`
466×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	619	12199
1	1764	10543

Stop Event

1×	node limit

Compiler

Compiled 178 to 76 computations (57.3% saved)

end20.0ms (0.6%)

Compiler: Compiled 24 to 15 computations (37.5% saved)

Details

analyze19.0ms (0.6%)

sample997.0ms (30.3%)

preprocess46.0ms (1.4%)

simplify65.0ms (2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize11.0ms (0.3%)

series4.0ms (0.1%)

rewrite78.0ms (2.4%)

simplify180.0ms (5.5%)

localize13.0ms (0.4%)

series4.0ms (0.1%)

rewrite150.0ms (4.6%)

simplify124.0ms (3.8%)

eval209.0ms (6.4%)

prune113.0ms (3.5%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite73.0ms (2.2%)

simplify70.0ms (2.1%)

eval82.0ms (2.5%)

prune46.0ms (1.4%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite66.0ms (2%)

simplify77.0ms (2.3%)

eval20.0ms (0.6%)

prune21.0ms (0.6%)

localize75.0ms (2.3%)

series3.0ms (0.1%)

rewrite246.0ms (7.5%)

simplify114.0ms (3.5%)

eval88.0ms (2.7%)

prune74.0ms (2.3%)

regimes24.0ms (0.7%)

regimes40.0ms (1.2%)

regimes12.0ms (0.4%)

simplify6.0ms (0.2%)

soundness89.0ms (2.7%)

end20.0ms (0.6%)

Profiling