Details

analyze72.0ms (1.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	81.2%	0.1%	0%	18.7%	0%	5
16%	12.5%	65.6%	0.1%	0%	21.9%	0%	6
27.9%	18.7%	48.4%	0.1%	0%	32.8%	0%	7
43.4%	28.1%	36.7%	0.1%	0%	35.1%	0%	8
55.6%	32.8%	26.1%	0.1%	0%	41%	0%	9
66.4%	38.2%	19.3%	0.1%	0%	42.3%	0%	10
75.1%	41%	13.6%	0.1%	0%	45.4%	0%	11
81.6%	43.9%	9.9%	0.1%	0%	46.1%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (23.9%)

Results

1.0s	8256×	body	256	valid
49.0ms	632×	body	256	invalid

Bogosity

preprocess123.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

1330×	`associate-+r-`
1296×	`fma-def`
1132×	`associate--l+`
1098×	`associate-+l-`
1090×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	30	46
2	51	46
3	105	46
4	252	46
5	934	46
6	3007	46
7	4471	46
8	6044	46
9	6602	46
10	6715	46
11	6829	46
12	6909	46
13	6909	46
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify145.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1420×	`fma-def`
1404×	`distribute-lft-out`
1064×	`*-commutative`
988×	`+-commutative`
964×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	19	23
2	31	23
3	59	23
4	130	23
5	360	23
6	1025	23
7	2025	23
8	4426	23
9	6213	23
10	7186	23
11	7510	23
12	7740	23
13	7854	23
14	7854	23

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Outputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

33.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.1b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.0b	(-.f64 (.f64 a a) (.f64 b b))
✓	30.9b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 25 to 6 computations (76% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite85.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`*-commutative`
686×	`unswap-sqr`
576×	`associate-*r/`
558×	`distribute-lft-in`
554×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	196	42
2	2669	42

Stop Event

1×	node limit

Counts

2 → 209

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (neg.f64 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (+.f64 (neg.f64 (.f64 b b)) (.f64 (.f64 b b) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (+.f64 (+.f64 (neg.f64 (.f64 b b)) (.f64 (.f64 b b) 0)) (.f64 (.f64 b b) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (+.f64 (neg.f64 (.f64 b b)) (.f64 2 (.f64 (.f64 b b) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (+.f64 (+.f64 (neg.f64 (.f64 b b)) (.f64 (.f64 b b) 0)) (.f64 2 (.f64 (.f64 b b) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (+.f64 (neg.f64 (.f64 b b)) (fma.f64 (neg.f64 (.f64 b b)) 1 (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (+.f64 (+.f64 (neg.f64 (.f64 b b)) (.f64 (.f64 b b) 0)) (fma.f64 (neg.f64 (.f64 b b)) 1 (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (+.f64 (neg.f64 (.f64 b b)) (fma.f64 (neg.f64 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Outputs

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

simplify138.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1304×	`associate-/r/`
1040×	`+-commutative`
766×	`fma-def`
696×	`associate-+l-`
676×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	552	11449
1	1512	10363
2	5951	10363

Stop Event

1×	node limit

Counts

257 → 349

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(*.f64 -1 a)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (.f64 -1 a))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1 a)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (.f64 -1 a))))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
(.f64 -1 (.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (.f64 -1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (.f64 1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (.f64 -1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))))
(*.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))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 1)
(.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 1)
(.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) (pow.f64 1 1/2))
(.f64 1 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))))
(.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 1/4) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4))
(.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))) (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 2) 1/2))
(*.f64 (pow.f64 (+.f64 a b) 1/2) (pow.f64 (-.f64 a b) 1/2))
(*.f64 (pow.f64 (-.f64 a b) 1/2) (pow.f64 (+.f64 a b) 1/2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))) (cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 1/4))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))) (cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))))) (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))))) (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))))) (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2) 1/6))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (sqrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 a 4)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (sqrt.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)))) (sqrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4)))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)))) (sqrt.f64 (fma.f64 a a (.f64 b b))))
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(/.f64 (-.f64 (.f64 (pow.f64 a 6) (pow.f64 a 6)) (.f64 (pow.f64 b 6) (pow.f64 b 6))) (.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4))) (+.f64 (pow.f64 a 6) (pow.f64 b 6))))
(/.f64 (-.f64 (.f64 (.f64 a a) (pow.f64 a 6)) (.f64 (.f64 b b) (pow.f64 b 6))) (.f64 (fma.f64 a a (.f64 b b)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (neg.f64 (.f64 b b)) 3)) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (neg.f64 (pow.f64 (.f64 a b) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 3) (pow.f64 (.f64 (.f64 b b) 0) 3)) (+.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 2) (.f64 (.f64 (.f64 b b) 0) (-.f64 (.f64 (.f64 b b) 0) (fma.f64 a a (neg.f64 (.f64 b b)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a 6) 3) (pow.f64 (pow.f64 b 6) 3)) (.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (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 (.f64 a a) (pow.f64 a 6)) (*.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))))
(/.f64 (+.f64 (neg.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 6) (pow.f64 b 6))) (neg.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 a 4)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) (sqrt.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)))) (sqrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 a 4)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) (sqrt.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)))) (sqrt.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 2) (.f64 (.f64 (.f64 b b) 0) (.f64 (.f64 b b) 0)))) (-.f64 (fma.f64 a a (neg.f64 (.f64 b b))) (.f64 (.f64 b b) 0)))
(/.f64 (.f64 1 (+.f64 (pow.f64 a 6) (pow.f64 (neg.f64 (.f64 b b)) 3))) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (neg.f64 (pow.f64 (*.f64 a b) 2))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 3) (pow.f64 (.f64 (.f64 b b) 0) 3))) (+.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 2) (.f64 (.f64 (.f64 b b) 0) (-.f64 (.f64 (.f64 b b) 0) (fma.f64 a a (neg.f64 (*.f64 b b)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 2) (cbrt.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)))) (cbrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 a 4)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 2) (cbrt.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)))) (cbrt.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (.f64 (+.f64 a b) (-.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (.f64 a a) (*.f64 b (+.f64 a b))))
(/.f64 (.f64 (-.f64 a b) (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 2) (.f64 (.f64 (.f64 b b) 0) (.f64 (.f64 b b) 0))) 1) (-.f64 (fma.f64 a a (neg.f64 (.f64 b b))) (.f64 (.f64 b b) 0)))
(/.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 (neg.f64 (.f64 b b)) 3)) 1) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (neg.f64 (pow.f64 (*.f64 a b) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 3) (pow.f64 (.f64 (.f64 b b) 0) 3)) 1) (+.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 2) (.f64 (.f64 (.f64 b b) 0) (-.f64 (.f64 (.f64 b b) 0) (fma.f64 a a (neg.f64 (*.f64 b b)))))))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 a 4)) (pow.f64 b 4)) 1) (neg.f64 (fma.f64 a a (.f64 b b))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) 1) (neg.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))) (sqrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 a 4)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))) (sqrt.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 2)) (cbrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 a 4)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 2)) (cbrt.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))))) (cbrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 a 4)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))))) (cbrt.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (-.f64 a b)) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
(/.f64 (.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b)) (+.f64 (.f64 a a) (*.f64 b (+.f64 a b))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 a a) (pow.f64 a 6)) (.f64 (.f64 b b) (pow.f64 b 6))) (/.f64 1 (fma.f64 a a (.f64 b b)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 a 4) 3) (pow.f64 (pow.f64 b 4) 3)) (/.f64 1 (fma.f64 a a (.f64 b b)))) (+.f64 (.f64 (.f64 a a) (pow.f64 a 6)) (*.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 a 6) (pow.f64 a 6)) (.f64 (pow.f64 b 6) (pow.f64 b 6))) (/.f64 1 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4))))) (+.f64 (pow.f64 a 6) (pow.f64 b 6)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 a 6) 3) (pow.f64 (pow.f64 b 6) 3)) (/.f64 1 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (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 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) 1) (fma.f64 a a (*.f64 b b)))
(/.f64 (/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (sqrt.f64 (fma.f64 a a (.f64 b b)))) (sqrt.f64 (fma.f64 a a (.f64 b b))))
(/.f64 (/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (.f64 (cbrt.f64 (fma.f64 a a (.f64 b b))) (cbrt.f64 (fma.f64 a a (.f64 b b))))) (cbrt.f64 (fma.f64 a a (.f64 b b))))
(/.f64 (/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) 1) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 a 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (sqrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4))))) (sqrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4)))) (cbrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4)))))) (cbrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4)))))
(pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1)
(pow.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 3)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (neg.f64 (fma.f64 a a (*.f64 b b)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (neg.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 a 4))))))
(sqrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 2))
(log.f64 (exp.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3))
(expm1.f64 (log1p.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(exp.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(log1p.f64 (expm1.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(fma.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) (.f64 (.f64 b b) 0))
(fma.f64 1 (.f64 a a) (neg.f64 (.f64 b b)))
(fma.f64 1 (fma.f64 a a (neg.f64 (.f64 b b))) (.f64 (*.f64 b b) 0))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 2) (cbrt.f64 (fma.f64 a a (neg.f64 (.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))

Outputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(fma.f64 1/2 (/.f64 (.f64 a a) (.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b))
(fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 (.f64 1/2 (.f64 a a)) (sqrt.f64 -1)) b))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (.f64 a a) (.f64 (sqrt.f64 -1) b)) (.f64 (sqrt.f64 -1) b)))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 b 3)))) (fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 (.f64 1/2 (*.f64 a a)) (sqrt.f64 -1)) b)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (.f64 a a) (.f64 (sqrt.f64 -1) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 b 3)))) (fma.f64 1/2 (.f64 (/.f64 a b) (/.f64 a (sqrt.f64 -1))) (fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5))))))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a)
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (.f64 -1/2 (/.f64 (.f64 b b) a))))
(+.f64 (fma.f64 -1/2 (/.f64 b (/.f64 a b)) a) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 b a) b) a) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (.f64 b b) a) (/.f64 (.f64 -1/16 (pow.f64 b 6)) (pow.f64 a 5)))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 b (/.f64 a b)) (/.f64 -1/16 (/.f64 (pow.f64 a 5) (pow.f64 b 6))))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 b a) b) (/.f64 -1/16 (/.f64 (pow.f64 a 5) (pow.f64 b 6))))))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (.f64 -1 a))
(fma.f64 1/2 (/.f64 (*.f64 b b) a) (neg.f64 a))
(fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a))
(fma.f64 1/2 (*.f64 (/.f64 b a) b) (neg.f64 a))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1 a)))
(fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (*.f64 b b) a) (neg.f64 a)))
(-.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (*.f64 1/2 (/.f64 b (/.f64 a b)))) a)
(-.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (.f64 1/2 (.f64 (/.f64 b a) b))) a)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (.f64 -1 a))))
(fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (*.f64 b b) a) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (neg.f64 a))))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (-.f64 (fma.f64 1/2 (/.f64 b (/.f64 a b)) (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)))) a))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (-.f64 (fma.f64 1/2 (.f64 (/.f64 b a) b) (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)))) a))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a)
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (.f64 -1/2 (/.f64 (.f64 b b) a))))
(+.f64 (fma.f64 -1/2 (/.f64 b (/.f64 a b)) a) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 b a) b) a) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (.f64 b b) a) (/.f64 (.f64 -1/16 (pow.f64 b 6)) (pow.f64 a 5)))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 b (/.f64 a b)) (/.f64 -1/16 (/.f64 (pow.f64 a 5) (pow.f64 b 6))))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 b a) b) (/.f64 -1/16 (/.f64 (pow.f64 a 5) (pow.f64 b 6))))))
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(fma.f64 1/2 (/.f64 (.f64 a a) (.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b))
(fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 (.f64 1/2 (.f64 a a)) (sqrt.f64 -1)) b))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (.f64 a a) (.f64 (sqrt.f64 -1) b)) (.f64 (sqrt.f64 -1) b)))
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(/.f64 (/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (sqrt.f64 (fma.f64 a a (.f64 b b)))) (sqrt.f64 (fma.f64 a a (.f64 b b))))
(-.f64 (.f64 a a) (.f64 b b))
(/.f64 (/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (.f64 (cbrt.f64 (fma.f64 a a (.f64 b b))) (cbrt.f64 (fma.f64 a a (.f64 b b))))) (cbrt.f64 (fma.f64 a a (.f64 b b))))
(-.f64 (.f64 a a) (.f64 b b))
(/.f64 (/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) 1) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 a 4))))
(/.f64 (.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) 1) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (.f64 b a) 2))))
(/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (pow.f64 (*.f64 b a) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (sqrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4))))) (sqrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4)))))
(/.f64 (.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) 1) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (.f64 b a) 2))))
(/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (pow.f64 (*.f64 b a) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4)))) (cbrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4)))))) (cbrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 a 4)))))
(/.f64 (.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) 1) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (.f64 b a) 2))))
(/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (pow.f64 (*.f64 b a) 2))))
(pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1)
(-.f64 (.f64 a a) (.f64 b b))
(pow.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 2)
(-.f64 (.f64 a a) (.f64 b b))
(pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 3)
(-.f64 (.f64 a a) (.f64 b b))
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 2) 1/2)
(sqrt.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2))
(fabs.f64 (-.f64 (.f64 a a) (.f64 b b)))
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3) 1/3)
(-.f64 (.f64 a a) (.f64 b b))
(neg.f64 (/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (neg.f64 (fma.f64 a a (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 b 4) (neg.f64 (pow.f64 a 4))) (neg.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)) (neg.f64 (fma.f64 a a (*.f64 b b))))
(neg.f64 (/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (neg.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 a 4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (neg.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 b a) 2)))))
(.f64 1 (/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (pow.f64 (.f64 b a) 2)))))
(sqrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 2))
(sqrt.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2))
(fabs.f64 (-.f64 (.f64 a a) (.f64 b b)))
(log.f64 (exp.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(-.f64 (.f64 a a) (.f64 b b))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(-.f64 (.f64 a a) (.f64 b b))
(cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3))
(-.f64 (.f64 a a) (.f64 b b))
(expm1.f64 (log1p.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(-.f64 (.f64 a a) (.f64 b b))
(exp.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(-.f64 (.f64 a a) (.f64 b b))
(log1p.f64 (expm1.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) (.f64 (.f64 b b) 0))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 1 (.f64 a a) (neg.f64 (.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 1 (fma.f64 a a (neg.f64 (.f64 b b))) (.f64 (*.f64 b b) 0))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 2) (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) (.f64 (.f64 b b) 0))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (*.f64 b b)))
(fma.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2) (*.f64 b (neg.f64 b)))
(-.f64 (.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2)) (.f64 b b))
(fma.f64 (+.f64 a b) (-.f64 a b) (.f64 (.f64 b b) 0))
(-.f64 (.f64 a a) (.f64 b b))

eval146.0ms (3.2%)

Compiler: Compiled 8018 to 3745 computations (53.3% saved)

prune73.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	344	5	349
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	344	6	350

Error

0.0b

Counts

350 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.1b	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
▶	33.1b	(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))
▶	31.5b	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	33.1b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
▶	32.5b	(neg.f64 a)
	31.2b	a

Compiler

Compiled 49 to 31 computations (36.7% saved)

localize2.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 a b))
✓	0.2b	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series6.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite67.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1348×	`associate-*r/`
1234×	`associate-*l/`
994×	`*-commutative`
858×	`associate-/r*`
648×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	211	34
2	2811	34

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(sqrt.f64 (-.f64 a b))

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

Outputs

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

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

simplify85.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1160×	`distribute-lft-in`
1146×	`distribute-rgt-in`
554×	`associate-/l*`
548×	`+-commutative`
536×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	5486
1	928	4784
2	4805	4692

Stop Event

1×	node limit

Counts

114 → 216

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (/.f64 (.f64 b b) a))
✓	7.5b	(/.f64 (*.f64 b b) a)

Compiler

Compiled 29 to 10 computations (65.5% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite84.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`add-sqr-sqrt`
1716×	`*-un-lft-identity`
1604×	`add-cube-cbrt`
1586×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	169	32
2	2226	32

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify105.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1334×	`associate-+l-`
1168×	`associate-/l*`
1146×	`associate-+r-`
834×	`times-frac`
686×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1800
1	353	1782
2	1429	1770
3	6231	1770

Stop Event

1×	node limit

Counts

106 → 73

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 b (/.f64 a b))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`add-sqr-sqrt`
1468×	`*-un-lft-identity`
1370×	`add-cube-cbrt`
1350×	`add-cbrt-cube`
1338×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	130	13
2	1842	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify51.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate-+r+`
1110×	`associate-*r/`
1086×	`associate-+l+`
724×	`associate-/l*`
720×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	977
1	278	953
2	1130	953
3	5249	953

Stop Event

1×	node limit

Counts

63 → 49

Calls

Call 1

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

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

eval91.0ms (2%)

Compiler: Compiled 6841 to 3372 computations (50.7% saved)

prune55.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	335	3	338
Fresh	0	1	1
Picked	1	0	1
Done	1	3	4
Total	337	7	344

Error

Counts

344 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.3b	(/.f64 (-.f64 a b) (/.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a))))
▶	31.1b	(+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b)))
✓	31.5b	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
▶	32.1b	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 a b)))
✓	33.1b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	32.5b	(neg.f64 a)
	31.2b	a

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 a b)))

Compiler

Compiled 20 to 6 computations (70% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 a b)))
1.0ms	b	@	inf	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 a b)))
1.0ms	a	@	0	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 a b)))
0.0ms	a	@	-inf	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 a b)))
0.0ms	a	@	inf	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 a b)))

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1894×	`add-sqr-sqrt`
1880×	`*-un-lft-identity`
1750×	`add-cube-cbrt`
1726×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	186	17
2	2390	17

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify44.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1262×	`associate-*r/`
852×	`*-commutative`
782×	`associate-/l/`
752×	`distribute-lft-in`
712×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	544
1	181	520
2	750	520
3	3530	508

Stop Event

1×	node limit

Counts

26 → 31

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (*.f64 b -1/2) (/.f64 a b))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`associate-*l/`
950×	`*-commutative`
648×	`associate-/r/`
632×	`swap-sqr`
600×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	175	19
2	2485	19

Stop Event

1×	node limit

Counts

1 → 118

Calls

Call 1

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

Outputs

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

simplify122.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-+r-`
1084×	`*-commutative`
906×	`associate-/r/`
548×	`unswap-sqr`
410×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	290	4020
1	852	3828
2	2885	3828
3	6918	3828

Stop Event

1×	node limit

Counts

142 → 155

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 8 computations (80% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite78.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`associate-/l/`
928×	`distribute-rgt-in`
884×	`distribute-lft-in`
266×	`add-sqr-sqrt`
264×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	251	46
2	3924	46

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (*.f64 (sqrt.f64 (/.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (neg.f64 b) 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (*.f64 (sqrt.f64 (/.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (*.f64 (sqrt.f64 (/.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (*.f64 (fma.f64 (neg.f64 b) 1 b) (sqrt.f64 (/.f64 (+.f64 a b) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b) (sqrt.f64 (/.f64 (+.f64 a b) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (-.f64 a 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simplify103.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

844×	`+-commutative`
680×	`associate-/l/`
642×	`associate-/r/`
630×	`associate-+r+`
610×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	7706
1	1392	6544
2	6277	6454

Stop Event

1×	node limit

Counts

142 → 263

Calls

Call 1

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

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

eval180.0ms (3.9%)

Compiler: Compiled 13203 to 6448 computations (51.2% saved)

prune98.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	554	2	556
Fresh	0	1	1
Picked	1	0	1
Done	2	3	5
Total	557	6	563

Error

Counts

563 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.9b	(/.f64 (-.f64 a b) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))))
▶	31.6b	(+.f64 (*.f64 1/2 b) a)
✓	31.1b	(+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b)))
✓	33.1b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	32.5b	(neg.f64 a)
	31.2b	a

Compiler

Compiled 49 to 30 computations (38.8% saved)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 7 computations (81.1% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite99.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`associate-/l/`
964×	`distribute-rgt-in`
926×	`distribute-lft-in`
468×	`distribute-lft-neg-in`
430×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	77
1	229	77
2	3535	77

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

Outputs

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

simplify114.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def`
836×	`associate-/r*`
816×	`times-frac`
766×	`associate-r`
718×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	690	11635
1	1951	10177

Stop Event

1×	node limit

Counts

239 → 361

Calls

Call 1

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

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

eval177.0ms (3.9%)

Compiler: Compiled 9675 to 4505 computations (53.4% saved)

prune56.0ms (1.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	361	0	361
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	361	6	367

Error

Counts

367 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.9b	(/.f64 (-.f64 a b) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))))
✓	31.6b	(+.f64 (*.f64 1/2 b) a)
✓	31.1b	(+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b)))
✓	33.1b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	32.5b	(neg.f64 a)
	31.2b	a

Compiler

Compiled 49 to 30 computations (38.8% saved)

regimes141.0ms (3.1%)

Counts

11 → 2

Calls

Call 1

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

Outputs
(neg.f64 a)
(/.f64 (-.f64 a b) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))))

Calls

6 calls:

45.0ms	b
39.0ms	(*.f64 b b)
16.0ms	(-.f64 (.f64 a a) (.f64 b b))
14.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
13.0ms	(*.f64 a a)

Results

Error	Segments	Branch
0.1b	2	`a`
22.3b	7	`b`
15.2b	3	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
15.2b	3	`(-.f64 (.f64 a a) (.f64 b b))`
15.2b	3	`(*.f64 a a)`
23.3b	5	`(*.f64 b b)`

Compiler

Compiled 120 to 57 computations (52.5% saved)

bsearch40.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
40.0ms	-1.6605287266386752e-223	1.4169740725751602e-294

Results

37.0ms	331×	body	256	invalid
2.0ms	22×	body	256	valid

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes87.0ms (1.9%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

6 calls:

33.0ms	b
11.0ms	(*.f64 b b)
11.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
11.0ms	(*.f64 a a)
10.0ms	(-.f64 (.f64 a a) (.f64 b b))

Results

Error	Segments	Branch
0.3b	2	`a`
22.3b	7	`b`
15.4b	3	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
15.4b	3	`(-.f64 (.f64 a a) (.f64 b b))`
15.4b	3	`(*.f64 a a)`
23.3b	5	`(*.f64 b b)`

Compiler

Compiled 79 to 43 computations (45.6% saved)

bsearch93.0ms (2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
92.0ms	-1.6605287266386752e-223	1.4169740725751602e-294

Results

88.0ms	795×	body	256	invalid
3.0ms	32×	body	256	valid

Compiler

Compiled 49 to 34 computations (30.6% saved)

regimes70.0ms (1.5%)

Accuracy

Total -63.1b remaining (-21545.6%)

Threshold costs -63.1b (-21545.6%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(neg.f64 a)
a

Calls

3 calls:

54.0ms	b
8.0ms	(*.f64 b b)
7.0ms	a

Results

Error	Segments	Branch
0.3b	2	`a`
23.0b	7	`b`
24.7b	4	`(*.f64 b b)`

Compiler

Compiled 30 to 18 computations (40% saved)

bsearch91.0ms (2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
91.0ms	-1.6605287266386752e-223	1.4169740725751602e-294

Results

87.0ms	571×	body	256	invalid
4.0ms	32×	body	256	valid

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	104
1	35	104
2	40	104
3	43	104
4	44	104

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 a -4753112106764559/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872) (neg.f64 a) (/.f64 (-.f64 a b) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b)))))
(if (<=.f64 a -1827025002012313/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (neg.f64 a) (+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b))))
(if (<=.f64 a -1827025002012313/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (neg.f64 a) a)
a

Outputs
(if (<=.f64 a -4753112106764559/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872) (neg.f64 a) (/.f64 (-.f64 a b) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b)))))
(if (<=.f64 a -1827025002012313/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (neg.f64 a) (+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b))))
(if (<=.f64 a -1827025002012313/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (neg.f64 a) a)
a

Compiler

Compiled 49 to 30 computations (38.8% saved)

soundness232.0ms (5.1%)

Algorithm

3×	egg-herbie

Rules

1304×	`associate-/r/`
1160×	`distribute-lft-in`
1146×	`distribute-rgt-in`
1040×	`+-commutative`
844×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	11449
1	1512	10363
2	5951	10363
0	356	5486
1	928	4784
2	4805	4692
0	473	7706
1	1392	6544
2	6277	6454

Stop Event

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

Compiler

Compiled 92 to 33 computations (64.1% saved)

end29.0ms (0.6%)

Compiler: Compiled 43 to 22 computations (48.8% saved)

Details

analyze72.0ms (1.6%)

sample1.1s (23.9%)

preprocess123.0ms (2.7%)

simplify145.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite85.0ms (1.8%)

simplify138.0ms (3%)

eval146.0ms (3.2%)

prune73.0ms (1.6%)

localize2.0ms (0.1%)

localize9.0ms (0.2%)

series6.0ms (0.1%)

rewrite67.0ms (1.5%)

simplify85.0ms (1.9%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite84.0ms (1.8%)

simplify105.0ms (2.3%)

localize8.0ms (0.2%)

series0.0ms (0%)

rewrite60.0ms (1.3%)

simplify51.0ms (1.1%)

eval91.0ms (2%)

prune55.0ms (1.2%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite59.0ms (1.3%)

simplify44.0ms (1%)

localize16.0ms (0.3%)

series1.0ms (0%)

rewrite67.0ms (1.5%)

simplify122.0ms (2.7%)

localize10.0ms (0.2%)

series7.0ms (0.2%)

rewrite78.0ms (1.7%)

simplify103.0ms (2.2%)

eval180.0ms (3.9%)

prune98.0ms (2.1%)

localize5.0ms (0.1%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite99.0ms (2.2%)

simplify114.0ms (2.5%)

eval177.0ms (3.9%)

prune56.0ms (1.2%)

regimes141.0ms (3.1%)

bsearch40.0ms (0.9%)

regimes87.0ms (1.9%)

bsearch93.0ms (2%)

regimes70.0ms (1.5%)

bsearch91.0ms (2%)

simplify7.0ms (0.1%)

soundness232.0ms (5.1%)

end29.0ms (0.6%)

Profiling