Details

analyze59.0ms (1.4%)

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 (24.7%)

Results

967.0ms	8256×	body	256	valid
78.0ms	639×	body	256	invalid

Bogosity

preprocess132.0ms (3.1%)

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)

simplify155.0ms (3.6%)

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

45.06%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.06%	(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
✓	6.54%	(-.f64 (.f64 a a) (.f64 b b))
✓	42.04%	(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)))

rewrite104.0ms (2.4%)

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

simplify159.0ms (3.7%)

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)) 1) (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)) (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))

eval128.0ms (3%)

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

prune90.0ms (2.1%)

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

0.03%

Counts

350 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.91%	(fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a))
▶	56.3%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
▶	56.96%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	45.06%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
▶	43.55%	(neg.f64 a)
	56.32%	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 1 expressions with local error:

New	Error	Program
✓	0.32%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 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	b	@	inf	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
1.0ms	b	@	0	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
0.0ms	a	@	inf	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))

rewrite63.0ms (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	23
1	211	23
2	2811	23

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 (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)))))))))

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)))))))))

simplify85.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1856×	`associate-/l*`
1038×	`associate-/r*`
748×	`associate-*r/`
720×	`*-commutative`
556×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2880
1	587	2280
2	2845	2026

Stop Event

1×	node limit

Counts

48 → 119

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 (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)))))

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.19%	(/.f64 b (/.f64 a b))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite140.0ms (3.3%)

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))))))))

simplify129.0ms (3%)

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))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.19%	(/.f64 b (/.f64 a b))

Compiler

Compiled 24 to 8 computations (66.7% saved)

eval336.0ms (7.9%)

Compiler: Compiled 4361 to 2315 computations (46.9% saved)

prune74.0ms (1.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	0	1	1
Picked	0	1	1
Done	1	3	4
Total	217	6	223

Error

0.03%

Counts

223 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.91%	(fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a))
▶	56.3%	(+.f64 (+.f64 a 0) (*.f64 (/.f64 b (/.f64 a (neg.f64 b))) (+.f64 1/2 (/.f64 0 a))))
✓	56.96%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	45.06%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	43.55%	(neg.f64 a)
	56.32%	a

Compiler

Compiled 57 to 38 computations (33.3% saved)

localize17.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 (/.f64 b (/.f64 a (neg.f64 b))) (+.f64 1/2 (/.f64 0 a)))
✓	0.19%	(/.f64 b (/.f64 a (neg.f64 b)))

Compiler

Compiled 57 to 28 computations (50.9% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite96.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`associate-/l*`
1446×	`associate-*l/`
978×	`*-commutative`
716×	`associate-/r/`
310×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	306	32
2	3398	32

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

Inputs
(/.f64 b (/.f64 a (neg.f64 b)))
(*.f64 (/.f64 b (/.f64 a (neg.f64 b))) (+.f64 1/2 (/.f64 0 a)))

Outputs

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

simplify140.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1022×	`unswap-sqr`
624×	`associate-/l*`
544×	`distribute-lft-neg-in`
510×	`distribute-rgt-neg-in`
506×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	4816
1	965	4462
2	4126	4454

Stop Event

1×	node limit

Counts

202 → 234

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(*.f64 b (neg.f64 (/.f64 b a)))
(*.f64 b (/.f64 b (neg.f64 a)))
(/.f64 (neg.f64 b) (/.f64 a b))
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(fma.f64 (.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 1/2)) (.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 1/2)) 0)
(pow.f64 (/.f64 (*.f64 b (sqrt.f64 1/2)) (sqrt.f64 a)) 2)
(pow.f64 (/.f64 b (/.f64 (sqrt.f64 a) (sqrt.f64 1/2))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 b (.f64 1/2 (/.f64 b a)))) 2) (cbrt.f64 (.f64 b (.f64 1/2 (/.f64 b a)))) 0)
(.f64 b (.f64 (/.f64 b a) 1/2))
(*.f64 b (/.f64 b (/.f64 a 1/2)))

eval66.0ms (1.5%)

Compiler: Compiled 4337 to 2394 computations (44.8% saved)

prune39.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	233	1	234
Fresh	0	1	1
Picked	1	0	1
Done	0	4	4
Total	234	6	240

Error

0.03%

Counts

240 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.91%	(fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a))
▶	56.3%	(+.f64 (+.f64 a 0) (*.f64 b (/.f64 b (/.f64 a -1/2))))
✓	56.96%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	45.06%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	43.55%	(neg.f64 a)
	56.32%	a

Compiler

Compiled 52 to 34 computations (34.6% saved)

localize42.0ms (1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.26%	(*.f64 b (/.f64 b (/.f64 a -1/2)))
✓	0.37%	(/.f64 b (/.f64 a -1/2))

Compiler

Compiled 35 to 22 computations (37.1% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite101.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1872×	`add-sqr-sqrt`
1846×	`*-un-lft-identity`
1734×	`add-cube-cbrt`
1710×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	176	32
2	2358	32

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify96.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1488×	`associate-/l*`
1476×	`associate-+r-`
796×	`unswap-sqr`
700×	`associate-/r*`
580×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	153	1844
1	388	1832
2	1594	1832
3	7450	1832

Stop Event

1×	node limit

Counts

110 → 75

Calls

Call 1

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

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

eval22.0ms (0.5%)

Compiler: Compiled 1143 to 750 computations (34.4% saved)

prune40.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	75	6	81

Error

0.03%

Counts

81 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.91%	(fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a))
✓	56.3%	(+.f64 (+.f64 a 0) (*.f64 b (/.f64 b (/.f64 a -1/2))))
✓	56.96%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	45.06%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	43.55%	(neg.f64 a)
	56.32%	a

Compiler

Compiled 52 to 34 computations (34.6% saved)

regimes106.0ms (2.5%)

Counts

8 → 2

Calls

Call 1

Inputs
a
(neg.f64 a)
(+.f64 (+.f64 a 0) (*.f64 b (/.f64 b (/.f64 a -1/2))))
(+.f64 (+.f64 a 0) (*.f64 (/.f64 b (/.f64 a (neg.f64 b))) (+.f64 1/2 (/.f64 0 a))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))

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

Calls

6 calls:

35.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
18.0ms	b
15.0ms	(*.f64 b b)
13.0ms	(-.f64 (.f64 a a) (.f64 b b))
12.0ms	(*.f64 a a)

Results

Error	Segments	Branch
0.34%	2	`a`
30.55%	3	`b`
18.67%	3	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
18.67%	3	`(-.f64 (.f64 a a) (.f64 b b))`
18.67%	3	`(*.f64 a a)`
27.81%	6	`(*.f64 b b)`

Compiler

Compiled 101 to 57 computations (43.6% saved)

bsearch24.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
24.0ms	-5.151622795419626e-287	4.958516990106566e-243

Results

19.0ms	242×	body	256	invalid
4.0ms	16×	body	256	valid

Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes113.0ms (2.6%)

Counts

6 → 2

Calls

Call 1

Inputs
a
(neg.f64 a)
(+.f64 (+.f64 a 0) (*.f64 b (/.f64 b (/.f64 a -1/2))))
(+.f64 (+.f64 a 0) (*.f64 (/.f64 b (/.f64 a (neg.f64 b))) (+.f64 1/2 (/.f64 0 a))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)

Outputs
(neg.f64 a)
(+.f64 (+.f64 a 0) (*.f64 b (/.f64 b (/.f64 a -1/2))))

Calls

6 calls:

53.0ms	(*.f64 b b)
14.0ms	b
13.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
11.0ms	(-.f64 (.f64 a a) (.f64 b b))
11.0ms	a

Results

Error	Segments	Branch
0.99%	2	`a`
30.62%	3	`b`
19.07%	3	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
19.07%	3	`(-.f64 (.f64 a a) (.f64 b b))`
19.07%	3	`(*.f64 a a)`
27.87%	6	`(*.f64 b b)`

Compiler

Compiled 83 to 50 computations (39.8% saved)

bsearch49.0ms (1.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
49.0ms	-5.151622795419626e-287	4.958516990106566e-243

Results

47.0ms	272×	body	256	invalid
1.0ms	16×	body	256	valid

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes69.0ms (1.6%)

Accuracy

Total -62.6b remaining (-9739.7%)

Threshold costs -62.6b (-9739.7%)

Counts

2 → 2

Calls

Call 1

Inputs
a
(neg.f64 a)

Outputs
(neg.f64 a)
a

Calls

2 calls:

41.0ms	a
27.0ms	b

Results

Error	Segments	Branch
1%	2	`a`
33.27%	8	`b`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch23.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
23.0ms	-5.151622795419626e-287	4.958516990106566e-243

Results

21.0ms	268×	body	256	invalid
1.0ms	16×	body	256	valid

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`distribute-neg-in`
4×	`+-commutative`
4×	`*-commutative`
2×	`+-rgt-identity`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	114
1	34	114
2	38	114

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 a -8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a)) (+.f64 (+.f64 a 0) (*.f64 b (/.f64 b (/.f64 a -1/2)))))
(if (<=.f64 a -8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (neg.f64 a) (+.f64 (+.f64 a 0) (*.f64 b (/.f64 b (/.f64 a -1/2)))))
(if (<=.f64 a -8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (neg.f64 a) a)
a

Outputs
(if (<=.f64 a -8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a)) (+.f64 (+.f64 a 0) (*.f64 b (/.f64 b (/.f64 a -1/2)))))
(if (<=.f64 a -8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a)) (+.f64 a (*.f64 b (/.f64 b (/.f64 a -1/2)))))
(if (<=.f64 a -8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (neg.f64 a) (+.f64 (+.f64 a 0) (*.f64 b (/.f64 b (/.f64 a -1/2)))))
(if (<=.f64 a -8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (neg.f64 a) (+.f64 a (*.f64 b (/.f64 b (/.f64 a -1/2)))))
(if (<=.f64 a -8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (neg.f64 a) a)
a

Compiler

Compiled 53 to 34 computations (35.8% saved)

soundness415.0ms (9.7%)

Algorithm

3×	egg-herbie

Rules

1856×	`associate-/l*`
1304×	`associate-/r/`
1040×	`+-commutative`
1038×	`associate-/r*`
1022×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	11449
1	1512	10363
2	5951	10363
0	197	2880
1	587	2280
2	2845	2026
0	340	4816
1	965	4462
2	4126	4454

Stop Event

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

Compiler

Compiled 421 to 303 computations (28% saved)

end49.0ms (1.2%)

Compiler: Compiled 47 to 26 computations (44.7% saved)

Details

analyze59.0ms (1.4%)

sample1.1s (24.7%)

preprocess132.0ms (3.1%)

simplify155.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite104.0ms (2.4%)

simplify159.0ms (3.7%)

eval128.0ms (3%)

prune90.0ms (2.1%)

localize2.0ms (0.1%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite63.0ms (1.5%)

simplify85.0ms (2%)

localize7.0ms (0.2%)

series2.0ms (0%)

rewrite140.0ms (3.3%)

simplify129.0ms (3%)

localize8.0ms (0.2%)

eval336.0ms (7.9%)

prune74.0ms (1.7%)

localize17.0ms (0.4%)

series3.0ms (0.1%)

rewrite96.0ms (2.2%)

simplify140.0ms (3.3%)

eval66.0ms (1.5%)

prune39.0ms (0.9%)

localize42.0ms (1%)

series3.0ms (0.1%)

rewrite101.0ms (2.4%)

simplify96.0ms (2.3%)

eval22.0ms (0.5%)

prune40.0ms (0.9%)

regimes106.0ms (2.5%)

bsearch24.0ms (0.6%)

regimes113.0ms (2.6%)

bsearch49.0ms (1.1%)

regimes69.0ms (1.6%)

bsearch23.0ms (0.5%)

simplify6.0ms (0.1%)

soundness415.0ms (9.7%)

end49.0ms (1.2%)

Profiling