Details

analyze229.0ms (4.1%)

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%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
29.7%	29.6%	70.2%	0.1%	0%	0%	0%	9
42.2%	42.1%	57.7%	0.1%	0%	0%	0%	10
47.7%	47.6%	52.1%	0.1%	0.2%	0%	0%	11
54.7%	53.8%	44.6%	0.1%	1.5%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.4s (24.4%)

Results

1.0s	8256×	body	256	valid
325.0ms	1942×	body	256	infinite

Bogosity

preprocess149.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

1042×	`associate-/r*`
792×	`associate-+l-`
782×	`associate--r+`
718×	`distribute-lft-in`
680×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	39	76
2	75	76
3	143	76
4	298	76
5	803	76
6	1791	76
7	4762	76
8	6306	76
9	7181	76
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 y (/.f64 (-.f64 x y) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(+.f64 x (/.f64 (-.f64 z x) y))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 y (/.f64 (-.f64 x y) z))
(-.f64 y (/.f64 (-.f64 y x) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(-.f64 z (/.f64 (-.f64 z y) x))
(+.f64 x (/.f64 (-.f64 z x) y))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-def`
314×	`associate-+r+`
272×	`associate--r+`
236×	`associate-r`
212×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	15	19
2	26	19
3	45	19
4	87	19
5	217	19
6	433	19
7	881	19
8	1388	19
9	1603	19
10	1678	19
11	2063	19
12	2067	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))

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

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 10 to 6 computations (40% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	0.0b	(/.f64 (-.f64 y x) z)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 x (/.f64 (-.f64 y x) z))
0.0ms	y	@	-inf	(/.f64 (-.f64 y x) z)
0.0ms	x	@	-inf	(/.f64 (-.f64 y x) z)
0.0ms	y	@	inf	(/.f64 (-.f64 y x) z)
0.0ms	x	@	0	(+.f64 x (/.f64 (-.f64 y x) z))

rewrite81.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`associate-*l/`
1374×	`associate-/r*`
1190×	`associate-/l*`
1042×	`*-commutative`
354×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	187	32
2	2910	32

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

Inputs
(/.f64 (-.f64 y x) z)
(+.f64 x (/.f64 (-.f64 y x) z))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x z)) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y z) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 y x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (-.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 y x) z) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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Outputs

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simplify110.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1390×	`associate-/r/`
748×	`+-commutative`
738×	`associate-+r+`
652×	`associate-+l+`
470×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	7022
1	1026	6744
2	5064	6170

Stop Event

1×	node limit

Counts

184 → 196

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(-.f64 x (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))
(+.f64 (neg.f64 (/.f64 x z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) 1)
(*.f64 (-.f64 y x) (/.f64 1 z))
(*.f64 (/.f64 (-.f64 y x) z) 1)
(*.f64 1 (/.f64 (-.f64 y x) z))
(.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (/.f64 1 z) (-.f64 y x))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 -1 z))
(.f64 (.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)) (sqrt.f64 (-.f64 y x)))
(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)) (pow.f64 (cbrt.f64 (-.f64 y x)) 2))
(*.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 (-.f64 y x) (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 -1 z) (neg.f64 (-.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) z) (sqrt.f64 (-.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) z) (/.f64 (sqrt.f64 (-.f64 y x)) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)) (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (cbrt.f64 (-.f64 y x)) z) (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) z) (cbrt.f64 (-.f64 y x)))
(*.f64 (/.f64 1 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 y x)) 2))) (cbrt.f64 (-.f64 y x)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (/.f64 1 z)) (-.f64 (.f64 y y) (.f64 x x))) (-.f64 y x))
(.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (/.f64 1 z)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 y y) (-.f64 (.f64 x x) (*.f64 y x))))
(.f64 (/.f64 (.f64 (/.f64 1 z) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x (+.f64 y x)) (.f64 x (+.f64 y x))))) (-.f64 (.f64 y y) (.f64 x (+.f64 y x))))
(.f64 (/.f64 (.f64 (/.f64 1 z) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 y y) 3) (pow.f64 (.f64 x (+.f64 y x)) 3))) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (-.f64 (.f64 (.f64 x (+.f64 y x)) (.f64 x (+.f64 y x))) (.f64 (.f64 y y) (*.f64 x (+.f64 y x))))))
(pow.f64 (/.f64 (-.f64 y x) z) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)
(pow.f64 (/.f64 z (-.f64 y x)) -1)
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) 1/3)
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (/.f64 (-.f64 y x) z)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (-.f64 x (/.f64 (-.f64 y x) z))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))) 1)
(-.f64 (+.f64 (/.f64 (-.f64 y x) z) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)
(*.f64 1 (+.f64 x (/.f64 (-.f64 y x) z)))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2) (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) (/.f64 1 (-.f64 x (/.f64 (-.f64 y x) z))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (/.f64 1 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))))
(.f64 (/.f64 1 (-.f64 x (/.f64 (-.f64 y x) z))) (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))
(.f64 (/.f64 1 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) (+.f64 x (/.f64 (-.f64 y x) z)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) (+.f64 (.f64 x x) (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (.f64 x (/.f64 (-.f64 y x) z)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)) (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))))) (-.f64 (.f64 x x) (*.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)) 3))) (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)) (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))) (.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))))
(/.f64 (+.f64 x (/.f64 (-.f64 y x) z)) (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 x (/.f64 (-.f64 y x) z))))
(/.f64 1 (/.f64 1 (+.f64 x (/.f64 (-.f64 y x) z))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) (-.f64 x (/.f64 (-.f64 y x) z)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (fma.f64 x x (*.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))))
(/.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))) (/.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))) (+.f64 x (/.f64 (-.f64 y x) z))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))) (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)))) (/.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (*.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) (.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) (/.f64 z (-.f64 y x)))) (.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) 3)) (.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) 3)) (.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) (/.f64 z (-.f64 y x))) (.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) (neg.f64 (-.f64 x (/.f64 (-.f64 y x) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (.f64 x x)) 1) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) 1) (neg.f64 (-.f64 x (/.f64 (-.f64 y x) z))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) 1) (neg.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (sqrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (sqrt.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)) (cbrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) (/.f64 z (-.f64 y x)))) (/.f64 1 (-.f64 x (/.f64 (-.f64 y x) z)))) (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) 3)) (/.f64 1 (-.f64 x (/.f64 (-.f64 y x) z)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) (/.f64 z (-.f64 y x))) (.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) (/.f64 1 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) 3)) (/.f64 1 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))))) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) 1) (-.f64 x (/.f64 (-.f64 y x) z)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) (sqrt.f64 (-.f64 x (/.f64 (-.f64 y x) z)))) (sqrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) (.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))) (cbrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))))) (cbrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) (+.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 y x) z))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (sqrt.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))))) (sqrt.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))))
(pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(fma.f64 (-.f64 y x) (/.f64 1 z) x)
(fma.f64 1 x (/.f64 (-.f64 y x) z))
(fma.f64 1 (/.f64 (-.f64 y x) z) x)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 y x) z))

Outputs
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(+.f64 x (*.f64 x (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 x (-.f64 1 (/.f64 1 z)))
(+.f64 x (*.f64 x (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 x z))
(*.f64 x (-.f64 1 (/.f64 1 z)))
(+.f64 x (*.f64 x (/.f64 -1 z)))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(+.f64 (neg.f64 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) 1)
(/.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) (/.f64 1 z))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (-.f64 y x) z) 1)
(/.f64 (-.f64 y x) z)
(*.f64 1 (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)))
(/.f64 (-.f64 y x) z)
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)))
(/.f64 (-.f64 y x) z)
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))
(/.f64 (-.f64 y x) z)
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 1 z) (-.f64 y x))
(/.f64 (-.f64 y x) z)
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 -1 z))
(/.f64 (-.f64 y x) z)
(.f64 (.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)) (sqrt.f64 (-.f64 y x)))
(/.f64 (-.f64 y x) z)
(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)) (pow.f64 (cbrt.f64 (-.f64 y x)) 2))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (/.f64 (-.f64 y x) (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (/.f64 -1 z) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) z) (sqrt.f64 (-.f64 y x)))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) z) (/.f64 (sqrt.f64 (-.f64 y x)) 1))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)) (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (cbrt.f64 (-.f64 y x)) z) (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
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(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) 1) (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (fma.f64 x x (*.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) 1) (fma.f64 x x (.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (fma.f64 x x (*.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x))))
(pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 3)
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3) 1/3)
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2))
(fabs.f64 (+.f64 x (/.f64 (-.f64 y x) z)))
(log.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) (/.f64 1 z) x)
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(fma.f64 1 x (/.f64 (-.f64 y x) z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(fma.f64 1 (/.f64 (-.f64 y x) z) x)
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)) x)
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 y x) z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (+.f64 1 (/.f64 -1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))

eval75.0ms (1.3%)

Compiler: Compiled 4917 to 1486 computations (69.8% saved)

prune61.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	189	7	196
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	8	197

Error

Counts

197 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 (-.f64 y x) (/.f64 1 z) x)
▶	0.0b	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
▶	21.9b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
▶	13.7b	(+.f64 x (/.f64 y z))
	32.1b	(+.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) z) (sqrt.f64 (-.f64 y x))))
▶	22.0b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
	35.1b	x

Compiler

Compiled 144 to 89 computations (38.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 x z) x)
✓	0.0b	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
0.0ms	x	@	inf	(-.f64 (/.f64 x z) x)
0.0ms	z	@	inf	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
0.0ms	x	@	0	(-.f64 (/.f64 x z) x)
0.0ms	y	@	0	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

rewrite141.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`associate-/r*`
1360×	`associate-/l*`
1176×	`distribute-lft-in`
450×	`associate-/r/`
306×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	211	32
2	3357	32

Stop Event

1×	node limit

Counts

2 → 238

Calls

Call 1

Inputs
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)

Outputs
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Outputs

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

simplify214.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

934×	`associate-r`
758×	`+-commutative`
720×	`associate-l`
644×	`distribute-lft-in`
614×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	650	15990
1	2051	14848

Stop Event

1×	node limit

Counts

298 → 387

Calls

Call 1

Inputs
(-.f64 x (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
x
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 y) (*.f64 -1 x)) z)) x)
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 y) (*.f64 -1 x)) z)) x)
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 y) (*.f64 -1 x)) z)) x)
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(.f64 -1 (.f64 (-.f64 1 (/.f64 1 z)) x))
(.f64 -1 (.f64 (-.f64 1 (/.f64 1 z)) x))
(.f64 -1 (.f64 (-.f64 1 (/.f64 1 z)) x))
(.f64 -1 (.f64 (-.f64 1 (/.f64 1 z)) x))
(/.f64 x z)
(+.f64 (*.f64 -1 x) (/.f64 x z))
(+.f64 (*.f64 -1 x) (/.f64 x z))
(+.f64 (*.f64 -1 x) (/.f64 x z))
(*.f64 -1 x)
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x))) (/.f64 (+.f64 x (/.f64 x z)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)))) (/.f64 (+.f64 x (/.f64 x z)) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x))) (neg.f64 (+.f64 x (/.f64 x z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 x z) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 x z) 3)) (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 x z) 2)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 x (/.f64 x z)) (+.f64 (.f64 x x) (pow.f64 (/.f64 x z) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (/.f64 x z) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (/.f64 x z) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x z) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (+.f64 (.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 x z) 3)) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x z) 2) 3) (pow.f64 (.f64 x x) 3)) (.f64 (+.f64 x (/.f64 x z)) (+.f64 (.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 x z) 2)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x)) 1) (+.f64 x (/.f64 x z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x)) (sqrt.f64 (+.f64 x (/.f64 x z)))) (sqrt.f64 (+.f64 x (/.f64 x z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)) (.f64 (cbrt.f64 (+.f64 x (/.f64 x z))) (cbrt.f64 (+.f64 x (/.f64 x z))))) (cbrt.f64 (+.f64 x (/.f64 x z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))))
(pow.f64 (-.f64 (/.f64 x z) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 x z) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 x z) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x z) x) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 x z) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 x z) x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 x z) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 x z) x)))
(exp.f64 (log.f64 (-.f64 (/.f64 x z) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x z) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 x z) x)))
(fma.f64 x (/.f64 1 z) (neg.f64 x))
(fma.f64 1 (/.f64 x z) (neg.f64 x))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)) (neg.f64 x))

Outputs
(-.f64 x (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
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(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
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(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
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(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
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(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
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(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
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x
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(/.f64 y z)
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(*.f64 (-.f64 1 (/.f64 1 z)) x)
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(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
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(-.f64 (/.f64 x z) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
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(-.f64 (/.f64 x z) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(.f64 -1 (.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(.f64 -1 (.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(.f64 -1 (.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(.f64 -1 (.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
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(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
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(*.f64 x (+.f64 (/.f64 1 z) -1))
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(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(*.f64 -1 x)
(neg.f64 x)
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(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
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(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(*.f64 -1 x)
(neg.f64 x)
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(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
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(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
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(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
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(+.f64 (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 (neg.f64 (-.f64 (/.f64 x z) x)) (-.f64 (/.f64 x z) x)))
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(+.f64 (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 (neg.f64 (-.f64 (/.f64 x z) x)) (-.f64 (/.f64 x z) x)))
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(+.f64 (/.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) x))
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(+.f64 (/.f64 y z) (-.f64 (neg.f64 (/.f64 x z)) (neg.f64 x)))
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(+.f64 (/.f64 y z) (-.f64 (*.f64 (neg.f64 x) (/.f64 1 z)) (neg.f64 x)))
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (/.f64 x z) x))
(+.f64 (-.f64 (/.f64 x z) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (/.f64 x z) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x))
(+.f64 (-.f64 (/.f64 x z) (exp.f64 (log1p.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 x z) (exp.f64 (log1p.f64 x))))
(-.f64 (/.f64 x z) (-.f64 (exp.f64 (log1p.f64 x)) 1))
(*.f64 (-.f64 (/.f64 x z) x) 1)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(*.f64 1 (-.f64 (/.f64 x z) x))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(*.f64 (sqrt.f64 (-.f64 (/.f64 x z) x)) (sqrt.f64 (-.f64 (/.f64 x z) x)))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(*.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) 2))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) 2) (cbrt.f64 (-.f64 (/.f64 x z) x)))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)) (/.f64 1 (+.f64 x (/.f64 x z))))
(.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 x)))
(.f64 (/.f64 1 (+.f64 x (/.f64 x z))) (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)))
(.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)) (/.f64 1 (+.f64 x (/.f64 x z))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))) (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))))
(.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)) (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x))) (-.f64 (/.f64 x z) x))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)) (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 x z) 2) (-.f64 (.f64 x x) (.f64 x (/.f64 x z)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)) (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (-.f64 x (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)) (/.f64 (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (-.f64 x (/.f64 x z))))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (-.f64 (.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 x z) 2)) (.f64 (.f64 x (+.f64 x (/.f64 x z))) (.f64 x (+.f64 x (/.f64 x z)))))) (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (/.f64 x z) 4) (.f64 (.f64 x x) (.f64 (+.f64 x (/.f64 x z)) (+.f64 x (/.f64 x z)))))) (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (/.f64 x z) 4) (.f64 x (.f64 (+.f64 x (/.f64 x z)) (.f64 x (+.f64 x (/.f64 x z))))))) (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 x z) 2) 3) (pow.f64 (.f64 x (+.f64 x (/.f64 x z))) 3))) (+.f64 (.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 x z) 2)) (-.f64 (.f64 (.f64 x (+.f64 x (/.f64 x z))) (.f64 x (+.f64 x (/.f64 x z)))) (.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 x z) 2) 3) (pow.f64 (.f64 x (+.f64 x (/.f64 x z))) 3))) (+.f64 (pow.f64 (/.f64 x z) 4) (.f64 (.f64 x (+.f64 x (/.f64 x z))) (-.f64 (*.f64 x (+.f64 x (/.f64 x z))) (pow.f64 (/.f64 x z) 2)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x (+.f64 x (/.f64 x z))) 3) (pow.f64 (/.f64 x z) 6))) (+.f64 (pow.f64 (/.f64 x z) 4) (.f64 x (.f64 (+.f64 x (/.f64 x z)) (-.f64 (*.f64 x (+.f64 x (/.f64 x z))) (pow.f64 (/.f64 x z) 2))))))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 x z) x)))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x)) (+.f64 x (/.f64 x z)))
(/.f64 (+.f64 x (/.f64 x z)) (/.f64 (+.f64 x (/.f64 x z)) (-.f64 (/.f64 x z) x)))
(*.f64 (/.f64 (+.f64 x (/.f64 x z)) (+.f64 x (/.f64 x z))) (-.f64 (/.f64 x z) x))
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 (+.f64 x (/.f64 x z)) (+.f64 x (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (/.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (-.f64 (/.f64 x z) x)))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z))))) (-.f64 (/.f64 x z) x))
(.f64 (-.f64 (/.f64 x z) x) (/.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x))) (/.f64 (+.f64 x (/.f64 x z)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x))) (+.f64 x (/.f64 x z))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x)))) (+.f64 x (/.f64 x z)))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)))) (/.f64 (+.f64 x (/.f64 x z)) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x))) (/.f64 (+.f64 x (/.f64 x z)) (cbrt.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x))) (neg.f64 (+.f64 x (/.f64 x z))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 x z) 2)) (*.f64 x x)) (-.f64 (/.f64 (neg.f64 x) z) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z))))))
(/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (/.f64 x z) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 x z) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x)) (+.f64 x (/.f64 x z)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 x z) 3)) (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 6) (pow.f64 x 6)) (.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 x z) 2)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 x (/.f64 x z)) (+.f64 (.f64 x x) (pow.f64 (/.f64 x z) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 4) (.f64 x (pow.f64 x 3))) (.f64 (+.f64 x (/.f64 x z)) (fma.f64 x x (pow.f64 (/.f64 x z) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (/.f64 x z) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (/.f64 x z) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x z) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (+.f64 (.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 x z) 3)) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x z) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (+.f64 (pow.f64 (/.f64 x z) 6) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x z) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))) (+.f64 (pow.f64 (/.f64 x z) 6) (+.f64 (pow.f64 x 6) (/.f64 (pow.f64 x 6) (pow.f64 z 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x z) 2) 3) (pow.f64 (.f64 x x) 3)) (.f64 (+.f64 x (/.f64 x z)) (+.f64 (.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 x z) 2)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x z) 2) 3) (pow.f64 x 6)) (.f64 (+.f64 x (/.f64 x z)) (+.f64 (pow.f64 (/.f64 x z) 4) (.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (/.f64 x z) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 6) (pow.f64 x 6)) (+.f64 x (/.f64 x z))) (+.f64 (pow.f64 (/.f64 x z) 4) (.f64 (.f64 x x) (fma.f64 x x (pow.f64 (/.f64 x z) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x)) 1) (+.f64 x (/.f64 x z)))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x)) (+.f64 x (/.f64 x z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x)) (sqrt.f64 (+.f64 x (/.f64 x z)))) (sqrt.f64 (+.f64 x (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)) (.f64 (sqrt.f64 (+.f64 x (/.f64 x z))) (sqrt.f64 (+.f64 x (/.f64 x z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)) (.f64 (cbrt.f64 (+.f64 x (/.f64 x z))) (cbrt.f64 (+.f64 x (/.f64 x z))))) (cbrt.f64 (+.f64 x (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (.f64 x x)) (.f64 (cbrt.f64 (+.f64 x (/.f64 x z))) (*.f64 (cbrt.f64 (+.f64 x (/.f64 x z))) (cbrt.f64 (+.f64 x (/.f64 x z))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z)))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 x 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (.f64 x (+.f64 x (/.f64 x z))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x (+.f64 x (/.f64 x z))))))))
(pow.f64 (-.f64 (/.f64 x z) x) 1)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 x z) x)) 2)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) 3)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(pow.f64 (pow.f64 (-.f64 (/.f64 x z) x) 3) 1/3)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x z) x) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 x z) x)))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 x z) x))))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 x z) x) 3))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(expm1.f64 (log1p.f64 (-.f64 (/.f64 x z) x)))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(exp.f64 (log.f64 (-.f64 (/.f64 x z) x)))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x z) x)) 1))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(log1p.f64 (expm1.f64 (-.f64 (/.f64 x z) x)))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(fma.f64 x (/.f64 1 z) (neg.f64 x))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(fma.f64 1 (/.f64 x z) (neg.f64 x))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(-.f64 (/.f64 x z) x)
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)) (neg.f64 x))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 y z))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 x (/.f64 y z))
0.0ms	x	@	-inf	(+.f64 x (/.f64 y z))
0.0ms	y	@	-inf	(+.f64 x (/.f64 y z))
0.0ms	z	@	0	(+.f64 x (/.f64 y z))
0.0ms	z	@	-inf	(+.f64 x (/.f64 y z))

rewrite169.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`add-sqr-sqrt`
1812×	`*-un-lft-identity`
1694×	`add-cube-cbrt`
1676×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	154	13
2	2195	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(+.f64 x (/.f64 y z))

Outputs

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

simplify253.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1360×	`associate-*r/`
1200×	`associate-r`
1068×	`associate-*l/`
1036×	`associate-l`
726×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	1172
1	225	1142
2	824	1142
3	4757	1142

Stop Event

1×	node limit

Counts

60 → 41

Calls

Call 1

Inputs
(/.f64 y z)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 y z)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y z))) (/.f64 (pow.f64 (/.f64 y z) 2) (-.f64 x (/.f64 y z))))
(*.f64 (+.f64 x (/.f64 y z)) 1)
(*.f64 1 (+.f64 x (/.f64 y z)))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) (sqrt.f64 (+.f64 x (/.f64 y z))))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 2) (cbrt.f64 (+.f64 x (/.f64 y z))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y z) 2)) (/.f64 1 (-.f64 x (/.f64 y z))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (/.f64 y z) (-.f64 (/.f64 y z) x)))))
(/.f64 1 (/.f64 (-.f64 x (/.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2)) (-.f64 x (/.f64 y z)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)) (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)) (+.f64 (pow.f64 (/.f64 y z) 2) (-.f64 (.f64 x x) (.f64 x (/.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) 2) (*.f64 x x)) (-.f64 (/.f64 y z) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2))) (neg.f64 (-.f64 x (/.f64 y z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x)))))
(pow.f64 (+.f64 x (/.f64 y z)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (+.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 y z))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y z))))
(fma.f64 y (/.f64 1 z) x)
(fma.f64 1 x (/.f64 y z))
(fma.f64 1 (/.f64 y z) x)
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 y z))

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 x z))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 x (/.f64 x z))
0.0ms	z	@	-inf	(-.f64 x (/.f64 x z))
0.0ms	z	@	0	(-.f64 x (/.f64 x z))
0.0ms	z	@	inf	(-.f64 x (/.f64 x z))
0.0ms	x	@	inf	(-.f64 x (/.f64 x z))

rewrite56.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`add-sqr-sqrt`
1648×	`*-un-lft-identity`
1544×	`add-cube-cbrt`
1528×	`add-cbrt-cube`
148×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	136	13
2	1993	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 x (/.f64 x z))

Outputs

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

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

962×	`associate-+r+`
756×	`*-commutative`
720×	`associate-+l+`
680×	`fma-def`
548×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1534
1	300	1180
2	1188	1060
3	4676	1060

Stop Event

1×	node limit

Counts

62 → 48

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 1 (/.f64 1 z)) x)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (-.f64 1 (/.f64 1 z)) x)
0.0ms	x	@	0	(*.f64 (-.f64 1 (/.f64 1 z)) x)
0.0ms	z	@	0	(*.f64 (-.f64 1 (/.f64 1 z)) x)
0.0ms	x	@	inf	(*.f64 (-.f64 1 (/.f64 1 z)) x)
0.0ms	z	@	-inf	(*.f64 (-.f64 1 (/.f64 1 z)) x)

rewrite99.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`add-sqr-sqrt`
1668×	`*-un-lft-identity`
1556×	`add-cube-cbrt`
1538×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	168	19
2	2109	19

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 (-.f64 1 (/.f64 1 z)) x)

Outputs

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

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

976×	`*-commutative`
828×	`associate-/l*`
644×	`fma-def`
638×	`associate-r`
556×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	565
1	152	513
2	411	513
3	2194	513
4	3847	513

Stop Event

1×	node limit

Counts

31 → 33

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 x (*.f64 x (/.f64 -1 z)))
(+.f64 x (*.f64 (/.f64 -1 z) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x))) 1)
(/.f64 (*.f64 x (-.f64 1 (pow.f64 z -2))) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 z -3))) (+.f64 1 (+.f64 (/.f64 1 z) (pow.f64 z -2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z -3)) x) (+.f64 1 (+.f64 (/.f64 1 z) (pow.f64 z -2))))
(pow.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 1 z))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x)))
(exp.f64 (+.f64 (log1p.f64 (/.f64 -1 z)) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 -1 z)) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x)))

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (-.f64 y x) (/.f64 1 z) x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(fma.f64 (-.f64 y x) (/.f64 1 z) x)
0.0ms	x	@	-inf	(fma.f64 (-.f64 y x) (/.f64 1 z) x)
0.0ms	y	@	inf	(fma.f64 (-.f64 y x) (/.f64 1 z) x)
0.0ms	z	@	0	(fma.f64 (-.f64 y x) (/.f64 1 z) x)
0.0ms	y	@	-inf	(fma.f64 (-.f64 y x) (/.f64 1 z) x)

rewrite105.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`*-commutative`
786×	`associate-*r/`
776×	`unswap-sqr`
614×	`associate-*l/`
530×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	208	19
2	2648	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(fma.f64 (-.f64 y x) (/.f64 1 z) x)

Outputs

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

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1214×	`associate-*r/`
1150×	`associate-+r+`
1082×	`associate-+l+`
866×	`distribute-lft-in`
816×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	108	1783
1	264	1693
2	962	1693
3	4157	1693

Stop Event

1×	node limit

Counts

69 → 52

Calls

Call 1

Inputs
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (/.f64 (-.f64 y x) z)))
(-.f64 (+.f64 (/.f64 (-.f64 y x) z) (exp.f64 (log1p.f64 x))) 1)
(*.f64 1 (+.f64 x (/.f64 (-.f64 y x) z)))
(*.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2) (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2))))
(.f64 (.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))) (*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 3/2) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3) 1/6) (pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3) 1/6))
(/.f64 (-.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (+.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (*.f64 x x))) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) (+.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (*.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (*.f64 x x)) 1) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) 1) (+.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (*.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))))
(pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z))))

Outputs
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x))
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -1 (.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1)
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (/.f64 (-.f64 y x) z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 (-.f64 y x) z) (exp.f64 (log1p.f64 x))) 1)
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 1 (+.f64 x (/.f64 (-.f64 y x) z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2) (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))
(+.f64 x (/.f64 (-.f64 y x) z))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))
(.f64 (.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))) (*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))
(+.f64 x (/.f64 (-.f64 y x) z))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 3/2) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 3/2))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3) 1/6) (pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3) 1/6))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (+.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (fma.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2) (*.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (fma.f64 x (-.f64 x (/.f64 (-.f64 y x) z)) (*.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (*.f64 x x))) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (-.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) (+.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (*.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (fma.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2) (*.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (fma.f64 x (-.f64 x (/.f64 (-.f64 y x) z)) (*.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (*.f64 x x)) 1) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (-.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) 1) (+.f64 (.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2)) (*.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (fma.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2) (*.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (fma.f64 x (-.f64 x (/.f64 (-.f64 y x) z)) (*.f64 (pow.f64 z -2) (pow.f64 (-.f64 y x) 2))))
(pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)
(+.f64 x (/.f64 (-.f64 y x) z))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)
(+.f64 x (/.f64 (-.f64 y x) z))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 3)
(+.f64 x (/.f64 (-.f64 y x) z))
(pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3) 1/3)
(+.f64 x (/.f64 (-.f64 y x) z))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2))
(+.f64 x (/.f64 (-.f64 y x) z))
(log.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))
(+.f64 x (/.f64 (-.f64 y x) z))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3))
(+.f64 x (/.f64 (-.f64 y x) z))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z))))
(+.f64 x (/.f64 (-.f64 y x) z))

eval254.0ms (4.5%)

Compiler: Compiled 13522 to 4064 computations (69.9% saved)

prune108.0ms (1.9%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	556	5	561
Fresh	1	1	2
Picked	1	0	1
Done	0	5	5
Total	558	11	569

Error

Counts

569 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.7b	(fma.f64 y (/.f64 1 z) x)
▶	28.0b	(/.f64 (-.f64 y x) z)
▶	28.3b	(/.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) x) (+.f64 1 (/.f64 1 z)))
▶	49.2b	(/.f64 (neg.f64 x) z)
▶	41.1b	(/.f64 y z)
✓	0.0b	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	21.9b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	13.7b	(+.f64 x (/.f64 y z))
✓	22.0b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
	35.1b	x

Compiler

Compiled 144 to 100 computations (30.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y (/.f64 1 z) x)

Compiler

Compiled 16 to 9 computations (43.8% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(fma.f64 y (/.f64 1 z) x)
0.0ms	y	@	0	(fma.f64 y (/.f64 1 z) x)
0.0ms	z	@	-inf	(fma.f64 y (/.f64 1 z) x)
0.0ms	z	@	0	(fma.f64 y (/.f64 1 z) x)
0.0ms	y	@	inf	(fma.f64 y (/.f64 1 z) x)

rewrite55.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`add-sqr-sqrt`
1608×	`*-un-lft-identity`
1484×	`add-cube-cbrt`
1466×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	176	13
2	2026	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(fma.f64 y (/.f64 1 z) x)

Outputs

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

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1046×	`fma-def`
1002×	`associate-r`
886×	`associate-l`
768×	`*-commutative`
708×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	739
1	148	739
2	606	733
3	3407	733
4	7746	733

Stop Event

1×	node limit

Counts

59 → 29

Calls

Call 1

Inputs
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(/.f64 y z)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(/.f64 y z)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(/.f64 y z)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(/.f64 y z)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(+.f64 (*.f64 (/.f64 y z) 1) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 y z)))) 1)
(*.f64 1 (+.f64 x (/.f64 y z)))
(*.f64 (+.f64 x (/.f64 y z)) 1)
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) (sqrt.f64 (+.f64 x (/.f64 y z))))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 2) (cbrt.f64 (+.f64 x (/.f64 y z))))
(/.f64 (-.f64 (.f64 (/.f64 y z) (/.f64 y z)) (.f64 x x)) (-.f64 (/.f64 y z) x))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 y z) (/.f64 y z)) (-.f64 (.f64 x x) (*.f64 (/.f64 y z) x))))
(pow.f64 (+.f64 x (/.f64 y z)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (+.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 y z))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y z))))

Outputs
x
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(/.f64 y z)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(/.f64 y z)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(/.f64 y z)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
x
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
x
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(/.f64 y z)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
x
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
x
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(+.f64 (*.f64 (/.f64 y z) 1) x)
(+.f64 x (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 y z)))) 1)
(+.f64 x (/.f64 y z))
(*.f64 1 (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 y z))
(*.f64 (+.f64 x (/.f64 y z)) 1)
(+.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) (sqrt.f64 (+.f64 x (/.f64 y z))))
(+.f64 x (/.f64 y z))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 2))
(+.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 2) (cbrt.f64 (+.f64 x (/.f64 y z))))
(+.f64 x (/.f64 y z))
(/.f64 (-.f64 (.f64 (/.f64 y z) (/.f64 y z)) (.f64 x x)) (-.f64 (/.f64 y z) x))
(+.f64 x (/.f64 y z))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 y z) (/.f64 y z)) (-.f64 (.f64 x x) (*.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (-.f64 x (/.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (/.f64 y z)) (*.f64 (/.f64 y z) (/.f64 y z))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) x) (*.f64 x x)))
(pow.f64 (+.f64 x (/.f64 y z)) 1)
(+.f64 x (/.f64 y z))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) 2)
(+.f64 x (/.f64 y z))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 3)
(+.f64 x (/.f64 y z))
(pow.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3) 1/3)
(+.f64 x (/.f64 y z))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 2))
(+.f64 x (/.f64 y z))
(log.f64 (exp.f64 (+.f64 x (/.f64 y z))))
(+.f64 x (/.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 y z)))))
(+.f64 x (/.f64 y z))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3))
(+.f64 x (/.f64 y z))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y z))))
(+.f64 x (/.f64 y z))
(exp.f64 (log.f64 (+.f64 x (/.f64 y z))))
(+.f64 x (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 y z))) 1))
(+.f64 x (/.f64 y z))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y z))))
(+.f64 x (/.f64 y z))

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.8b	(*.f64 (-.f64 1 (pow.f64 z -2)) x)
✓	6.4b	(/.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) x) (+.f64 1 (/.f64 1 z)))

Compiler

Compiled 43 to 32 computations (25.6% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) x) (+.f64 1 (/.f64 1 z)))
1.0ms	z	@	0	(/.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) x) (+.f64 1 (/.f64 1 z)))
1.0ms	z	@	-inf	(/.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) x) (+.f64 1 (/.f64 1 z)))
0.0ms	x	@	inf	(/.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) x) (+.f64 1 (/.f64 1 z)))
0.0ms	z	@	inf	(/.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) x) (+.f64 1 (/.f64 1 z)))

rewrite82.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1786×	`associate-/l*`
894×	`associate-/r/`
816×	`associate-/l/`
798×	`distribute-lft-in`
272×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	272	38
2	3654	38

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) x) (+.f64 1 (/.f64 1 z)))
(*.f64 (-.f64 1 (pow.f64 z -2)) x)

Outputs

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#<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 1 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (/.f64 1 z)))))))))

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

simplify126.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

606×	`associate-/l*`
586×	`associate-r`
582×	`distribute-rgt-neg-out`
520×	`associate-l`
464×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	370	6207
1	1087	5427
2	5337	5427

Stop Event

1×	node limit

Counts

181 → 200

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(*.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1 z) z)) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(*.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1 z) z)) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(*.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1 z) z)) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(*.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1 z) z)) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(*.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1 z) z)) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(*.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1 z) z)) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(*.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1 z) z)) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(*.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1 z) z)) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(*.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1 z) z)) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(*.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1 z) z)) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(*.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1 z) z)) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(*.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1 z) z)) (+.f64 1 (/.f64 1 z))) x)
(*.f64 -1 (/.f64 x (pow.f64 z 2)))
(/.f64 (neg.f64 x) (*.f64 z z))
(*.f64 (pow.f64 z -2) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) x)
(fma.f64 -1 (/.f64 x (*.f64 z z)) x)
(-.f64 x (*.f64 x (pow.f64 z -2)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) x)
(fma.f64 -1 (/.f64 x (*.f64 z z)) x)
(-.f64 x (*.f64 x (pow.f64 z -2)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) x)
(fma.f64 -1 (/.f64 x (*.f64 z z)) x)
(-.f64 x (*.f64 x (pow.f64 z -2)))
x
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) x)
(fma.f64 -1 (/.f64 x (*.f64 z z)) x)
(-.f64 x (*.f64 x (pow.f64 z -2)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) x)
(fma.f64 -1 (/.f64 x (*.f64 z z)) x)
(-.f64 x (*.f64 x (pow.f64 z -2)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) x)
(fma.f64 -1 (/.f64 x (*.f64 z z)) x)
(-.f64 x (*.f64 x (pow.f64 z -2)))
x
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) x)
(fma.f64 -1 (/.f64 x (*.f64 z z)) x)
(-.f64 x (*.f64 x (pow.f64 z -2)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) x)
(fma.f64 -1 (/.f64 x (*.f64 z z)) x)
(-.f64 x (*.f64 x (pow.f64 z -2)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) x)
(fma.f64 -1 (/.f64 x (*.f64 z z)) x)
(-.f64 x (*.f64 x (pow.f64 z -2)))
(*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x)
(.f64 x (-.f64 1 (/.f64 1 (.f64 z z))))
(+.f64 x (.f64 (/.f64 -1 (.f64 z z)) x))
(*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x)
(.f64 x (-.f64 1 (/.f64 1 (.f64 z z))))
(+.f64 x (.f64 (/.f64 -1 (.f64 z z)) x))
(*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x)
(.f64 x (-.f64 1 (/.f64 1 (.f64 z z))))
(+.f64 x (.f64 (/.f64 -1 (.f64 z z)) x))
(*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x)
(.f64 x (-.f64 1 (/.f64 1 (.f64 z z))))
(+.f64 x (.f64 (/.f64 -1 (.f64 z z)) x))
(*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x)
(.f64 x (-.f64 1 (/.f64 1 (.f64 z z))))
(+.f64 x (.f64 (/.f64 -1 (.f64 z z)) x))
(*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x)
(.f64 x (-.f64 1 (/.f64 1 (.f64 z z))))
(+.f64 x (.f64 (/.f64 -1 (.f64 z z)) x))
(*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x)
(.f64 x (-.f64 1 (/.f64 1 (.f64 z z))))
(+.f64 x (.f64 (/.f64 -1 (.f64 z z)) x))
(*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x)
(.f64 x (-.f64 1 (/.f64 1 (.f64 z z))))
(+.f64 x (.f64 (/.f64 -1 (.f64 z z)) x))
(*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x)
(.f64 x (-.f64 1 (/.f64 1 (.f64 z z))))
(+.f64 x (.f64 (/.f64 -1 (.f64 z z)) x))
(*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x)
(.f64 x (-.f64 1 (/.f64 1 (.f64 z z))))
(+.f64 x (.f64 (/.f64 -1 (.f64 z z)) x))
(*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x)
(.f64 x (-.f64 1 (/.f64 1 (.f64 z z))))
(+.f64 x (.f64 (/.f64 -1 (.f64 z z)) x))
(*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x)
(.f64 x (-.f64 1 (/.f64 1 (.f64 z z))))
(+.f64 x (.f64 (/.f64 -1 (.f64 z z)) x))
(+.f64 x (.f64 x (.f64 -1 (/.f64 1 z))))
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 x (*.f64 x (neg.f64 (/.f64 1 z))))
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 x (.f64 x (.f64 (neg.f64 (pow.f64 z -1/2)) (pow.f64 z -1/2))))
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 x (.f64 x (.f64 (neg.f64 (cbrt.f64 (pow.f64 z -2))) (/.f64 1 (cbrt.f64 z)))))
(+.f64 x (.f64 x (neg.f64 (.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (cbrt.f64 z))))))
(fma.f64 x (/.f64 (neg.f64 (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 z)) x)
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) (.f64 (/.f64 1 (+.f64 1 (/.f64 1 z))) (.f64 x (neg.f64 (pow.f64 z -2)))))
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) (*.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) (neg.f64 (pow.f64 z -2))))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 z -2)) (+.f64 1 (/.f64 1 z))))
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) (.f64 (/.f64 1 (+.f64 1 (/.f64 1 z))) (.f64 (neg.f64 (pow.f64 z -2)) x)))
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) (*.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) (neg.f64 (pow.f64 z -2))))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 z -2)) (+.f64 1 (/.f64 1 z))))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 z -2)) (/.f64 (-.f64 1 (pow.f64 z -2)) x)) 1) (.f64 (/.f64 (-.f64 1 (pow.f64 z -2)) (/.f64 (-.f64 1 (pow.f64 z -2)) x)) (*.f64 -1 (/.f64 1 z))))
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 z -2)) (/.f64 (-.f64 1 (pow.f64 z -2)) x)) 1) (.f64 (/.f64 (-.f64 1 (pow.f64 z -2)) (/.f64 (-.f64 1 (pow.f64 z -2)) x)) (neg.f64 (/.f64 1 z))))
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 z -2)) (/.f64 (-.f64 1 (pow.f64 z -2)) x)) 1) (.f64 (/.f64 (-.f64 1 (pow.f64 z -2)) (/.f64 (-.f64 1 (pow.f64 z -2)) x)) (*.f64 (neg.f64 (pow.f64 z -1/2)) (pow.f64 z -1/2))))
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(-.f64 x (*.f64 x (pow.f64 z -2)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) x)))
(fma.f64 -1 (/.f64 x (*.f64 z z)) x)
(-.f64 x (*.f64 x (pow.f64 z -2)))

eval138.0ms (2.5%)

Compiler: Compiled 5110 to 3368 computations (34.1% saved)

prune50.0ms (0.9%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	295	1	296
Fresh	0	1	1
Picked	1	0	1
Done	0	9	9
Total	296	11	307

Error

Counts

307 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.7b	(fma.f64 y (/.f64 1 z) x)
✓	28.0b	(/.f64 (-.f64 y x) z)
▶	26.4b	(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
✓	49.2b	(/.f64 (neg.f64 x) z)
✓	41.1b	(/.f64 y z)
✓	0.0b	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	21.9b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	13.7b	(+.f64 x (/.f64 y z))
✓	22.0b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
	35.1b	x

Compiler

Compiled 100 to 68 computations (32% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 1 (/.f64 1 z)) x)
✓	0.3b	(/.f64 1 (*.f64 z z))
✓	11.2b	(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))

Compiler

Compiled 51 to 32 computations (37.3% saved)

series4.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
0.0ms	z	@	0	(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
0.0ms	x	@	inf	(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
0.0ms	x	@	-inf	(/.f64 (+.f64 1 (/.f64 1 z)) x)
0.0ms	x	@	0	(/.f64 (+.f64 1 (/.f64 1 z)) x)

rewrite110.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`distribute-rgt-in`
756×	`distribute-lft-in`
676×	`distribute-lft-neg-in`
606×	`distribute-rgt-neg-in`
320×	`distribute-neg-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	277	45
2	4199	45

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(/.f64 1 (*.f64 z z))
(/.f64 (+.f64 1 (/.f64 1 z)) x)

Outputs

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

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

simplify113.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1446×	`associate-/r/`
1136×	`unswap-sqr`
686×	`distribute-lft-neg-out`
594×	`distribute-rgt-neg-out`
572×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	370	5332
1	1004	4372
2	4070	4372

Stop Event

1×	node limit

Counts

204 → 202

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 1 (pow.f64 z 2))
(/.f64 1 (pow.f64 z 2))
(/.f64 1 (pow.f64 z 2))
(/.f64 1 (pow.f64 z 2))
(/.f64 1 (pow.f64 z 2))
(/.f64 1 (pow.f64 z 2))
(/.f64 1 (pow.f64 z 2))
(/.f64 1 (pow.f64 z 2))
(/.f64 1 (pow.f64 z 2))
(/.f64 1 (pow.f64 z 2))
(/.f64 1 (pow.f64 z 2))
(/.f64 1 (pow.f64 z 2))
(/.f64 1 (*.f64 z x))
(+.f64 (/.f64 1 (*.f64 z x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 z x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 z x)) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 (*.f64 z x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 z x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 z x)) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 (*.f64 z x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 z x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 z x)) (/.f64 1 x))
(+.f64 x (*.f64 x (/.f64 -1 z)))
(+.f64 x (*.f64 (/.f64 -1 z) x))
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) (*.f64 (/.f64 (pow.f64 z -2) (+.f64 -1 (/.f64 -1 z))) x))
(+.f64 (*.f64 (/.f64 (pow.f64 z -2) (+.f64 -1 (/.f64 -1 z))) x) (/.f64 x (+.f64 1 (/.f64 1 z))))
(+.f64 (.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) 1) (.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) (neg.f64 (pow.f64 z -2))))
(+.f64 (.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) 1) (.f64 (*.f64 (/.f64 (pow.f64 z -2) (+.f64 -1 (/.f64 -1 z))) x) 1))
(+.f64 (.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) (neg.f64 (pow.f64 z -2))) (.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) 1))
(-.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) (*.f64 (pow.f64 z -2) (/.f64 x (+.f64 1 (/.f64 1 z)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 (/.f64 -1 z) x)))) 1)
(.f64 1 (+.f64 x (.f64 (/.f64 -1 z) x)))
(*.f64 (-.f64 1 (pow.f64 z -2)) (/.f64 x (+.f64 1 (/.f64 1 z))))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(.f64 (+.f64 x (.f64 (/.f64 -1 z) x)) 1)
(.f64 (sqrt.f64 (+.f64 x (.f64 (/.f64 -1 z) x))) (sqrt.f64 (+.f64 x (*.f64 (/.f64 -1 z) x))))
(.f64 (sqrt.f64 (-.f64 1 (pow.f64 z -2))) (.f64 (sqrt.f64 (-.f64 1 (pow.f64 z -2))) (/.f64 x (+.f64 1 (/.f64 1 z)))))
(.f64 (cbrt.f64 (+.f64 x (.f64 (/.f64 -1 z) x))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (/.f64 -1 z) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 (/.f64 -1 z) x))) 2) (cbrt.f64 (+.f64 x (*.f64 (/.f64 -1 z) x))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 z -2))) 2) (.f64 (cbrt.f64 (-.f64 1 (pow.f64 z -2))) (/.f64 x (+.f64 1 (/.f64 1 z)))))
(*.f64 (+.f64 1 (/.f64 -1 z)) x)
(*.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) (-.f64 1 (pow.f64 z -2)))
(*.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) (-.f64 1 (/.f64 (pow.f64 z -2) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 z))) (/.f64 (pow.f64 z -2) (+.f64 -1 (/.f64 -1 z)))))
(*.f64 (+.f64 (pow.f64 z -2) -1) (/.f64 x (+.f64 -1 (/.f64 -1 z))))
(.f64 (.f64 (+.f64 1 (/.f64 -1 z)) 1) x)
(.f64 (.f64 (+.f64 1 (/.f64 -1 z)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (+.f64 1 (/.f64 -1 z)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (-.f64 1 (pow.f64 z -2)) 1) (/.f64 x (+.f64 1 (/.f64 1 z))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 1 z))) (/.f64 (-.f64 1 (pow.f64 z -2)) (/.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 1 z))) (-.f64 x (/.f64 (pow.f64 z -2) (/.f64 1 x))))
(*.f64 (/.f64 1 (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (sqrt.f64 x))) (/.f64 (-.f64 1 (pow.f64 z -2)) (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)) 2)) (/.f64 (-.f64 1 (pow.f64 z -2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 z -2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 z -2))) (/.f64 (+.f64 1 (/.f64 1 z)) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 z -2))) (+.f64 1 (/.f64 1 z))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 z -2))) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 z -2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 z -2))) (/.f64 (+.f64 1 (/.f64 1 z)) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 z -2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 z -2))) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 z -2))) 2) (+.f64 1 (/.f64 1 z))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 z -2))) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 z -2))) 2) (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (sqrt.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 z -2))) (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (sqrt.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 z -2))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)) 2)) (cbrt.f64 (+.f64 x (.f64 (/.f64 -1 z) x))))
(*.f64 (neg.f64 (+.f64 1 (/.f64 -1 z))) (neg.f64 x))
(pow.f64 (+.f64 x (*.f64 (/.f64 -1 z) x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 (/.f64 -1 z) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (/.f64 -1 z) x))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 (/.f64 -1 z) x)) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 x (*.f64 (/.f64 -1 z) x))) -1)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 z -2)) (/.f64 (+.f64 -1 (/.f64 -1 z)) x)))
(neg.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 z -2)) (/.f64 (+.f64 -1 (/.f64 -1 z)) x)) 1))
(neg.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) (/.f64 x (+.f64 -1 (/.f64 -1 z)))))
(neg.f64 (*.f64 1 (/.f64 (-.f64 1 (pow.f64 z -2)) (/.f64 (+.f64 -1 (/.f64 -1 z)) x))))
(neg.f64 (*.f64 (neg.f64 (+.f64 1 (/.f64 -1 z))) x))
(neg.f64 (/.f64 (+.f64 (pow.f64 z -2) -1) (/.f64 (+.f64 1 (/.f64 1 z)) x)))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 (/.f64 -1 z) x)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 -1 z))) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 (/.f64 -1 z) x)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 (/.f64 -1 z) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 z -2)) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x) 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 (/.f64 -1 z) x))))
(exp.f64 (log.f64 (+.f64 x (*.f64 (/.f64 -1 z) x))))
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 (/.f64 -1 z) x))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 (/.f64 -1 z) x))))
(+.f64 1 (-.f64 (pow.f64 z -2) 1))
(+.f64 (pow.f64 z -2) 0)
(-.f64 (+.f64 1 (pow.f64 z -2)) 1)
(*.f64 1 (pow.f64 z -2))
(*.f64 (pow.f64 z -2) 1)
(*.f64 (/.f64 1 z) (/.f64 1 z))
(*.f64 (/.f64 1 z) (neg.f64 (/.f64 -1 z)))
(.f64 (pow.f64 z -1/2) (.f64 (pow.f64 z -1/2) (/.f64 1 z)))
(*.f64 (pow.f64 z -1/2) (/.f64 (/.f64 1 z) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (cbrt.f64 (/.f64 (pow.f64 z -3) z)))
(.f64 (cbrt.f64 (pow.f64 z -2)) (.f64 (/.f64 1 (cbrt.f64 z)) (/.f64 1 z)))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 z) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z -3) z)) (cbrt.f64 (pow.f64 z -2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z -3) z)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 z -2)))))
(*.f64 -1 (neg.f64 (pow.f64 z -2)))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 z -2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 z -2)))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 z -2))) (cbrt.f64 (neg.f64 (pow.f64 z -2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 z -2)))))
(.f64 (.f64 (/.f64 1 z) (pow.f64 z -1/2)) (pow.f64 z -1/2))
(.f64 (.f64 (/.f64 1 z) (cbrt.f64 (pow.f64 z -2))) (/.f64 1 (cbrt.f64 z)))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 z -3) z))) (neg.f64 (cbrt.f64 (pow.f64 z -2))))
(*.f64 (/.f64 -1 z) (/.f64 -1 z))
(*.f64 (/.f64 (pow.f64 z -1/2) 1) (/.f64 (pow.f64 z -1/2) z))
(*.f64 (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (pow.f64 z -1/2) (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 z)) z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 z)) (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z -2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 z 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 z) 2) -1))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 z -2)))) (sqrt.f64 (neg.f64 (pow.f64 z -2))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 z -2))) (cbrt.f64 (neg.f64 (pow.f64 z -2))))) (cbrt.f64 (neg.f64 (pow.f64 z -2))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 z -3) z)))) (cbrt.f64 (pow.f64 z -2)))
(*.f64 (neg.f64 (/.f64 -1 z)) (/.f64 1 z))
(pow.f64 z -2)
(pow.f64 (*.f64 z z) -1)
(pow.f64 (pow.f64 z -2) 1)
(pow.f64 (/.f64 1 z) 2)
(pow.f64 (cbrt.f64 (pow.f64 z -2)) 3)
(pow.f64 (pow.f64 (*.f64 z z) -3) 1/3)
(neg.f64 (neg.f64 (pow.f64 z -2)))
(neg.f64 (/.f64 (/.f64 1 z) (neg.f64 z)))
(sqrt.f64 (/.f64 (pow.f64 z -3) z))
(log.f64 (exp.f64 (pow.f64 z -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 z -2))))
(cbrt.f64 (pow.f64 (*.f64 z z) -3))
(expm1.f64 (log1p.f64 (pow.f64 z -2)))
(exp.f64 (*.f64 (log.f64 z) -2))
(exp.f64 (.f64 (log.f64 (.f64 z z)) -1))
(exp.f64 (.f64 (.f64 (log.f64 z) -2) 1))
(log1p.f64 (expm1.f64 (pow.f64 z -2)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 z) (/.f64 1 x)))
(+.f64 (.f64 (/.f64 1 x) 1) (.f64 (/.f64 1 x) (/.f64 1 z)))
(+.f64 (.f64 (/.f64 1 x) (/.f64 1 z)) (.f64 (/.f64 1 x) 1))
(+.f64 (*.f64 (/.f64 1 z) (/.f64 1 x)) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 (/.f64 1 z)) x))
(*.f64 (+.f64 1 (/.f64 1 z)) (/.f64 1 x))
(*.f64 (+.f64 1 (/.f64 1 z)) (neg.f64 (/.f64 -1 x)))
(*.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x) 1)
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (sqrt.f64 x)) (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (sqrt.f64 x)) (neg.f64 (neg.f64 (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (sqrt.f64 x)))))
(.f64 (hypot.f64 1 (pow.f64 z -1/2)) (.f64 (hypot.f64 1 (pow.f64 z -1/2)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 z))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 1 z))) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (+.f64 1 (/.f64 1 z)))
(*.f64 -1 (/.f64 (+.f64 -1 (/.f64 -1 z)) x))
(*.f64 (+.f64 -1 (/.f64 -1 z)) (/.f64 -1 x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 -1 z)) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 -1 z)) x))))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 -1 z)) x)) (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 -1 z)) x))) (neg.f64 (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 -1 z)) x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (/.f64 1 z)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (/.f64 1 z)) (cbrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (sqrt.f64 x))) (neg.f64 (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (sqrt.f64 x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 z))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 z))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 z))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 z))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 z))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 -1 z)) x))) (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 -1 z)) x)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 -1 z)) x)) (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 -1 z)) x)))) (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 -1 z)) x)))
(*.f64 (neg.f64 (neg.f64 (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (sqrt.f64 x)))) (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (sqrt.f64 x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)) 2))) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)))
(pow.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x) 1)
(pow.f64 (/.f64 (hypot.f64 1 (pow.f64 z -1/2)) (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 1 (/.f64 1 z))) -1)
(neg.f64 (/.f64 (+.f64 -1 (/.f64 -1 z)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 z)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 z)) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 1 z)) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 1 z)) x)))

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

eval72.0ms (1.3%)

Compiler: Compiled 3714 to 2715 computations (26.9% saved)

prune47.0ms (0.8%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	202	11	213

Error

Counts

213 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.7b	(fma.f64 y (/.f64 1 z) x)
✓	28.0b	(/.f64 (-.f64 y x) z)
✓	26.4b	(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
✓	49.2b	(/.f64 (neg.f64 x) z)
✓	41.1b	(/.f64 y z)
✓	0.0b	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	21.9b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	13.7b	(+.f64 x (/.f64 y z))
✓	22.0b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
	35.1b	x

Compiler

Compiled 100 to 68 computations (32% saved)

regimes33.0ms (0.6%)

Counts

14 → 1

Calls

Call 1

Inputs
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))
(/.f64 (-.f64 y x) z)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(fma.f64 y (/.f64 1 z) x)
(fma.f64 (-.f64 y x) (/.f64 1 z) x)
(/.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) x) (+.f64 1 (/.f64 1 z)))
(+.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) z) (sqrt.f64 (-.f64 y x))))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))

Calls

4 calls:

8.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
8.0ms	y
7.0ms	z
7.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 126 to 65 computations (48.4% saved)

regimes49.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))
(/.f64 (-.f64 y x) z)
(*.f64 (-.f64 1 (/.f64 1 z)) x)

Outputs
(+.f64 x (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 x (/.f64 y z))

Calls

3 calls:

17.0ms	x
17.0ms	y
13.0ms	z

Results

Error	Segments	Branch
7.4b	3	`x`
7.1b	4	`y`
0.9b	3	`z`

Compiler

Compiled 45 to 25 computations (44.4% saved)

bsearch34.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.08794421698409335	7199932068300.373
17.0ms	-408843573.76525664	-7.203820906511397e-9

Results

31.0ms

320×

body

256

valid

Compiler

Compiled 376 to 251 computations (33.2% saved)

regimes104.0ms (1.8%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))

Outputs
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))

Calls

3 calls:

70.0ms	z
19.0ms	x
11.0ms	y

Results

Error	Segments	Branch
7.4b	3	`x`
8.2b	3	`y`
9.6b	5	`z`

Compiler

Compiled 33 to 18 computations (45.5% saved)

bsearch33.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	3.827957821334326e-132	9.78837534903323e-114
17.0ms	-2.916348237588973e+72	-2.1967608819545683e+41

Results

29.0ms	336×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 394 to 263 computations (33.2% saved)

regimes65.0ms (1.2%)

Counts

4 → 5

Calls

Call 1

Inputs
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(+.f64 x (/.f64 y z))

Outputs
(+.f64 x (/.f64 y z))
(/.f64 (neg.f64 x) z)
(+.f64 x (/.f64 y z))
(/.f64 (neg.f64 x) z)
(+.f64 x (/.f64 y z))

Calls

3 calls:

35.0ms	x
16.0ms	z
4.0ms	y

Results

Error	Segments	Branch
13.7b	1	`x`
13.7b	1	`y`
10.0b	5	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch178.0ms (3.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
43.0ms	0.08794421698409335	7199932068300.373
63.0ms	1.4121222782163181e-306	1.3077120434747476e-295
63.0ms	-6.472108632646382e-105	-1.9992856343691546e-115
8.0ms	-6.009579140193687e-56	-2.2575874565997966e-56

Results

99.0ms	560×	body	256	valid
72.0ms	355×	body	256	infinite

Compiler

Compiled 611 to 431 computations (29.5% saved)

regimes76.0ms (1.4%)

Counts

3 → 6

Calls

Call 1

Inputs
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)

Outputs
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(/.f64 y z)
(/.f64 (neg.f64 x) z)
x

Calls

3 calls:

46.0ms	y
19.0ms	z
10.0ms	x

Results

Error	Segments	Branch
25.9b	3	`x`
24.4b	8	`y`
19.5b	6	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch143.0ms (2.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
17.0ms	0.08794421698409335	7199932068300.373
59.0ms	1.4121222782163181e-306	1.3077120434747476e-295
22.0ms	-6.472108632646382e-105	-1.9992856343691546e-115
9.0ms	-6.009579140193687e-56	-2.2575874565997966e-56
36.0ms	-7.203820906511397e-9	-3.290002088422047e-12

Results

105.0ms	688×	body	256	valid
30.0ms	345×	body	256	infinite

Compiler

Compiled 617 to 458 computations (25.8% saved)

regimes58.0ms (1%)

Accuracy

Total -38.9b remaining (-170.1%)

Threshold costs -38.9b (-170.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)

Outputs
x
(/.f64 y z)
x

Calls

3 calls:

26.0ms	z
21.0ms	y
10.0ms	x

Results

Error	Segments	Branch
25.9b	3	`x`
26.1b	5	`y`
22.9b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch51.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	7199932068300.373	6556444711483791000.0
13.0ms	-7.203820906511397e-9	-3.290002088422047e-12

Results

48.0ms	272×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 220 to 164 computations (25.5% saved)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
12×	`if-if-or-not`
8×	`sub-neg`
8×	`not-or`
6×	`not-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	323
1	82	319
2	91	313
3	100	309
4	105	309
5	109	309
6	110	309
7	111	309

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z -1) (+.f64 x (/.f64 y z)) (if (<=.f64 z 1) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 x -1259999999999999971519975392921913156784646732644352) (-.f64 x (/.f64 x z)) (if (<=.f64 x 6585090523536935/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 x (/.f64 y z)) (-.f64 x (/.f64 x z))))
(if (<=.f64 z -5742252960529749/110427941548649020598956093796432407239217743554726184882600387580788736) (+.f64 x (/.f64 y z)) (if (<=.f64 z -2772669694120815/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (/.f64 (neg.f64 x) z) (if (<=.f64 z 8482580444616245/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (+.f64 x (/.f64 y z)) (if (<=.f64 z 3242591731706757/36028797018963968) (/.f64 (neg.f64 x) z) (+.f64 x (/.f64 y z))))))
(if (<=.f64 z -4352132950612665/604462909807314587353088) x (if (<=.f64 z -379596049073481/6901746346790563787434755862277025452451108972170386555162524223799296) (/.f64 y z) (if (<=.f64 z -6931674235302037/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (/.f64 (neg.f64 x) z) (if (<=.f64 z 889728437746415/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (/.f64 y z) (if (<=.f64 z 1) (/.f64 (neg.f64 x) z) x)))))
(if (<=.f64 z -4352132950612665/604462909807314587353088) x (if (<=.f64 z 215000000000000000) (/.f64 y z) x))
x

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z -1) (+.f64 x (/.f64 y z)) (if (<=.f64 z 1) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
(if (or (<=.f64 z -1) (not (<=.f64 z 1))) (+.f64 x (/.f64 y z)) (/.f64 (-.f64 y x) z))
(if (<=.f64 x -1259999999999999971519975392921913156784646732644352) (-.f64 x (/.f64 x z)) (if (<=.f64 x 6585090523536935/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 x (/.f64 y z)) (-.f64 x (/.f64 x z))))
(if (or (<=.f64 x -1259999999999999971519975392921913156784646732644352) (not (<=.f64 x 6585090523536935/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456))) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z)))
(if (<=.f64 z -5742252960529749/110427941548649020598956093796432407239217743554726184882600387580788736) (+.f64 x (/.f64 y z)) (if (<=.f64 z -2772669694120815/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (/.f64 (neg.f64 x) z) (if (<=.f64 z 8482580444616245/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (+.f64 x (/.f64 y z)) (if (<=.f64 z 3242591731706757/36028797018963968) (/.f64 (neg.f64 x) z) (+.f64 x (/.f64 y z))))))
(if (<=.f64 z -5742252960529749/110427941548649020598956093796432407239217743554726184882600387580788736) (+.f64 x (/.f64 y z)) (if (<=.f64 z -2772669694120815/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (/.f64 (neg.f64 x) z) (if (or (<=.f64 z 8482580444616245/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (not (<=.f64 z 3242591731706757/36028797018963968))) (+.f64 x (/.f64 y z)) (/.f64 (neg.f64 x) z))))
(if (<=.f64 z -5742252960529749/110427941548649020598956093796432407239217743554726184882600387580788736) (+.f64 x (/.f64 y z)) (if (or (<=.f64 z -2772669694120815/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (not (or (<=.f64 z 8482580444616245/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (not (<=.f64 z 3242591731706757/36028797018963968))))) (/.f64 (neg.f64 x) z) (+.f64 x (/.f64 y z))))
(if (or (<=.f64 z -5742252960529749/110427941548649020598956093796432407239217743554726184882600387580788736) (not (or (<=.f64 z -2772669694120815/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (not (or (<=.f64 z 8482580444616245/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (not (<=.f64 z 3242591731706757/36028797018963968))))))) (+.f64 x (/.f64 y z)) (/.f64 (neg.f64 x) z))
(if (or (<=.f64 z -5742252960529749/110427941548649020598956093796432407239217743554726184882600387580788736) (not (or (<=.f64 z -2772669694120815/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (and (not (<=.f64 z 8482580444616245/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416)) (<=.f64 z 3242591731706757/36028797018963968))))) (+.f64 x (/.f64 y z)) (/.f64 (neg.f64 x) z))
(if (or (<=.f64 z -5742252960529749/110427941548649020598956093796432407239217743554726184882600387580788736) (and (not (<=.f64 z -2772669694120815/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296)) (or (<=.f64 z 8482580444616245/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (not (<=.f64 z 3242591731706757/36028797018963968))))) (+.f64 x (/.f64 y z)) (/.f64 (neg.f64 x) z))
(if (<=.f64 z -4352132950612665/604462909807314587353088) x (if (<=.f64 z -379596049073481/6901746346790563787434755862277025452451108972170386555162524223799296) (/.f64 y z) (if (<=.f64 z -6931674235302037/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (/.f64 (neg.f64 x) z) (if (<=.f64 z 889728437746415/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (/.f64 y z) (if (<=.f64 z 1) (/.f64 (neg.f64 x) z) x)))))
(if (<=.f64 z -4352132950612665/604462909807314587353088) x (if (<=.f64 z 215000000000000000) (/.f64 y z) x))
x

Compiler

Compiled 143 to 89 computations (37.8% saved)

soundness0.0ms (0%)

end67.0ms (1.2%)

Compiler: Compiled 125 to 61 computations (51.2% saved)

Details

analyze229.0ms (4.1%)

sample1.4s (24.4%)

preprocess149.0ms (2.7%)

simplify56.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series6.0ms (0.1%)

rewrite81.0ms (1.4%)

simplify110.0ms (2%)

eval75.0ms (1.3%)

prune61.0ms (1.1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite141.0ms (2.5%)

simplify214.0ms (3.8%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite169.0ms (3%)

simplify253.0ms (4.5%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite56.0ms (1%)

simplify68.0ms (1.2%)

localize9.0ms (0.2%)

series3.0ms (0%)

rewrite99.0ms (1.8%)

simplify65.0ms (1.2%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite105.0ms (1.9%)

simplify59.0ms (1.1%)

eval254.0ms (4.5%)

prune108.0ms (1.9%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite55.0ms (1%)

simplify62.0ms (1.1%)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

localize5.0ms (0.1%)

localize17.0ms (0.3%)

series5.0ms (0.1%)

rewrite82.0ms (1.5%)

simplify126.0ms (2.2%)

eval138.0ms (2.5%)

prune50.0ms (0.9%)

localize19.0ms (0.3%)

series4.0ms (0.1%)

rewrite110.0ms (2%)

simplify113.0ms (2%)

eval72.0ms (1.3%)

prune47.0ms (0.8%)

regimes33.0ms (0.6%)

regimes49.0ms (0.9%)

bsearch34.0ms (0.6%)

regimes104.0ms (1.8%)

bsearch33.0ms (0.6%)

regimes65.0ms (1.2%)

bsearch178.0ms (3.2%)

regimes76.0ms (1.4%)

bsearch143.0ms (2.6%)

regimes58.0ms (1%)

bsearch51.0ms (0.9%)

simplify17.0ms (0.3%)

soundness0.0ms (0%)

end67.0ms (1.2%)

Profiling