Details

analyze57.0ms (1.6%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample778.0ms (22.3%)

Results

718.0ms	8256×	body	256	valid
49.0ms	617×	body	256	invalid

Bogosity

preprocess132.0ms (3.8%)

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)

simplify161.0ms (4.6%)

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

46.33%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.33%	(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
✓	6.23%	(-.f64 (.f64 a a) (.f64 b b))
✓	43.13%	(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)))

rewrite90.0ms (2.6%)

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))))))

simplify132.0ms (3.8%)

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))

eval108.0ms (3.1%)

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

prune56.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	343	6	349
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	343	7	350

Error

0.07%

Counts

350 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.17%	(fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a))
▶	52.34%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
▶	56.81%	(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))
▶	52.7%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	46.33%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
▶	47.41%	(neg.f64 a)
	52.43%	a

Compiler

Compiled 107 to 68 computations (36.4% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.21%	(/.f64 b (/.f64 a b))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (1.5%)

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))))))))

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))))))))

simplify58.0ms (1.7%)

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))

localize2.0ms (0.1%)

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 -1/2 (/.f64 (.f64 b b) a))
✓	12.86%	(/.f64 (*.f64 b b) a)

Compiler

Compiled 29 to 10 computations (65.5% saved)

series2.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite60.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

106 → 73

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.21%	(/.f64 b (/.f64 a b))

Compiler

Compiled 21 to 7 computations (66.7% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.36%	(*.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	b	@	inf	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
1.0ms	a	@	0	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
1.0ms	a	@	-inf	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
0.0ms	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)))

rewrite168.0ms (4.8%)

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)))))))))

simplify55.0ms (1.6%)

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)))

eval100.0ms (2.9%)

Compiler: Compiled 5258 to 2758 computations (47.5% saved)

prune42.0ms (1.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	289	1	290
Fresh	0	1	1
Picked	0	1	1
Done	2	3	5
Total	291	6	297

Error

0.07%

Counts

297 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.17%	(fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a))
▶	52.34%	(+.f64 a (.f64 b (.f64 b (/.f64 -1/2 a))))
✓	52.7%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	46.33%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	47.41%	(neg.f64 a)
	52.43%	a

Compiler

Compiled 50 to 32 computations (36% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2%	(.f64 b (.f64 b (/.f64 -1/2 a)))
✓	0.35%	(*.f64 b (/.f64 -1/2 a))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite58.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`add-sqr-sqrt`
1638×	`*-un-lft-identity`
1528×	`add-cube-cbrt`
1506×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	169	32
2	2087	32

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

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

simplify88.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1542×	`associate-*r/`
1092×	`associate-*l/`
824×	`associate-+l-`
770×	`associate-+r-`
676×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1415
1	247	1415
2	1091	1415
3	6717	1415

Stop Event

1×	node limit

Counts

89 → 45

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

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

eval9.0ms (0.3%)

Compiler: Compiled 502 to 301 computations (40% saved)

prune15.0ms (0.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	45	6	51

Error

0.07%

Counts

51 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.17%	(fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a))
✓	52.34%	(+.f64 a (.f64 b (.f64 b (/.f64 -1/2 a))))
✓	52.7%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	46.33%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	47.41%	(neg.f64 a)
	52.43%	a

Compiler

Compiled 50 to 32 computations (36% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

0.07%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.17%	(fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a))
✓	52.34%	(+.f64 a (.f64 b (.f64 b (/.f64 -1/2 a))))
✓	52.7%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	46.33%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	47.41%	(neg.f64 a)
	52.43%	a

Compiler

Compiled 50 to 32 computations (36% saved)

regimes153.0ms (4.4%)

Counts

8 → 2

Calls

Call 1

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

Calls

6 calls:

48.0ms	b
31.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
27.0ms	(*.f64 a a)
17.0ms	(*.f64 b b)
16.0ms	(-.f64 (.f64 a a) (.f64 b b))

Results

Error	Segments	Branch
0.43%	2	`a`
32.76%	7	`b`
20.8%	4	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
20.8%	4	`(-.f64 (.f64 a a) (.f64 b b))`
22.39%	3	`(*.f64 a a)`
31.87%	6	`(*.f64 b b)`

Compiler

Compiled 92 to 48 computations (47.8% saved)

bsearch70.0ms (2%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
70.0ms	-1.7604278525393985e-273	5.18697117304631e-297

Results

67.0ms	487×	body	256	invalid
1.0ms	16×	body	256	valid

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes170.0ms (4.9%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

6 calls:

46.0ms	a
34.0ms	b
13.0ms	(*.f64 b b)
12.0ms	(*.f64 a a)
12.0ms	(-.f64 (.f64 a a) (.f64 b b))

Results

Error	Segments	Branch
0.6%	2	`a`
32.88%	7	`b`
22.62%	3	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
22.62%	3	`(-.f64 (.f64 a a) (.f64 b b))`
22.62%	3	`(*.f64 a a)`
33.63%	4	`(*.f64 b b)`

Compiler

Compiled 83 to 43 computations (48.2% saved)

bsearch69.0ms (2%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
69.0ms	-1.7604278525393985e-273	5.18697117304631e-297

Results

30.0ms	374×	body	256	invalid
1.0ms	16×	body	256	valid

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes127.0ms (3.6%)

Counts

6 → 2

Calls

Call 1

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

Calls

6 calls:

65.0ms	b
16.0ms	(-.f64 (.f64 a a) (.f64 b b))
13.0ms	(*.f64 a a)
12.0ms	(*.f64 b b)
10.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Results

Error	Segments	Branch
0.84%	2	`a`
33%	7	`b`
22.75%	3	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
22.75%	3	`(-.f64 (.f64 a a) (.f64 b b))`
22.75%	3	`(*.f64 a a)`
33.7%	4	`(*.f64 b b)`

Compiler

Compiled 74 to 41 computations (44.6% saved)

bsearch60.0ms (1.7%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
60.0ms	-1.7604278525393985e-273	5.18697117304631e-297

Results

57.0ms	447×	body	256	invalid
1.0ms	16×	body	256	valid

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes52.0ms (1.5%)

Accuracy

Total -62.7b remaining (-10428.1%)

Threshold costs -62.7b (-10428.1%)

Counts

3 → 2

Calls

Call 1

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

Outputs
(neg.f64 a)
a

Calls

3 calls:

25.0ms	b
15.0ms	(*.f64 b b)
10.0ms	a

Results

Error	Segments	Branch
0.94%	2	`a`
38.16%	7	`b`
38.51%	6	`(*.f64 b b)`

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch46.0ms (1.3%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
46.0ms	-1.7604278525393985e-273	5.18697117304631e-297

Results

43.0ms	350×	body	256	invalid
1.0ms	16×	body	256	valid

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	175
1	41	175
2	46	175
3	49	175
4	50	175

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 a -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b))))
(if (<=.f64 a -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a)) (+.f64 a (.f64 b (.f64 b (/.f64 -1/2 a)))))
(if (<=.f64 a -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (neg.f64 a) (+.f64 a (.f64 b (.f64 b (/.f64 -1/2 a)))))
(if (<=.f64 a -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (neg.f64 a) a)
a

Outputs
(if (<=.f64 a -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b))))
(if (<=.f64 a -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a)) (+.f64 a (.f64 b (.f64 b (/.f64 -1/2 a)))))
(if (<=.f64 a -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (neg.f64 a) (+.f64 a (.f64 b (.f64 b (/.f64 -1/2 a)))))
(if (<=.f64 a -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (neg.f64 a) a)
a

Compiler

Compiled 77 to 49 computations (36.4% saved)

soundness200.0ms (5.7%)

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

Compiler

Compiled 52 to 32 computations (38.5% saved)

end167.0ms (4.8%)

Compiler: Compiled 69 to 36 computations (47.8% saved)

Details

analyze57.0ms (1.6%)

sample778.0ms (22.3%)

preprocess132.0ms (3.8%)

simplify161.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite90.0ms (2.6%)

simplify132.0ms (3.8%)

eval108.0ms (3.1%)

prune56.0ms (1.6%)

localize8.0ms (0.2%)

series2.0ms (0.1%)

rewrite52.0ms (1.5%)

simplify58.0ms (1.7%)

localize2.0ms (0.1%)

localize8.0ms (0.2%)

series2.0ms (0.1%)

rewrite60.0ms (1.7%)

simplify72.0ms (2.1%)

localize7.0ms (0.2%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite168.0ms (4.8%)

simplify55.0ms (1.6%)

eval100.0ms (2.9%)

prune42.0ms (1.2%)

localize13.0ms (0.4%)

series3.0ms (0.1%)

rewrite58.0ms (1.7%)

simplify88.0ms (2.5%)

eval9.0ms (0.3%)

prune15.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes153.0ms (4.4%)

bsearch70.0ms (2%)

regimes170.0ms (4.9%)

bsearch69.0ms (2%)

regimes127.0ms (3.6%)

bsearch60.0ms (1.7%)

regimes52.0ms (1.5%)

bsearch46.0ms (1.3%)

simplify11.0ms (0.3%)

soundness200.0ms (5.7%)

end167.0ms (4.8%)

Profiling