Details

analyze755.0ms (14.2%)

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
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
36.4%	34.3%	60.1%	0.1%	5.5%	0%	0%	10
44.5%	41.3%	51.5%	0.1%	7%	0%	0%	11
51.5%	46.8%	44.1%	0.1%	9%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.2s (22%)

Results

1.0s	8256×	body	256	valid
116.0ms	1268×	body	256	infinite

Bogosity

preprocess115.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

1092×	`fma-neg`
812×	`fma-def`
774×	`associate--r+`
770×	`associate-+l-`
532×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	84
1	47	84
2	91	84
3	173	84
4	347	68
5	796	60
6	1385	60
7	2189	60
8	3515	60
9	4050	60
10	4126	60
11	4127	60
12	4127	60
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(+.f64 (.f64 y x) (.f64 (-.f64 1 y) z))
(+.f64 (.f64 z y) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 x z) (.f64 (-.f64 1 x) y))

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(fma.f64 x y (*.f64 (-.f64 1 x) z))
(fma.f64 (-.f64 1 x) z (*.f64 x y))
(-.f64 (fma.f64 x y z) (*.f64 x z))
(fma.f64 x (fma.f64 z -1 y) z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (.f64 y x) (.f64 (-.f64 1 y) z))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 x y (*.f64 z (-.f64 1 y)))
(fma.f64 x y (fma.f64 z (neg.f64 y) z))
(fma.f64 y (fma.f64 z -1 x) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (.f64 z y) (.f64 (-.f64 1 z) x))
(fma.f64 z y (*.f64 x (-.f64 1 z)))
(fma.f64 y z (*.f64 x (-.f64 1 z)))
(fma.f64 y z (fma.f64 x (neg.f64 z) x))
(fma.f64 z (fma.f64 x -1 y) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (.f64 x z) (.f64 (-.f64 1 x) y))
(fma.f64 x z (*.f64 y (-.f64 1 x)))
(fma.f64 x z (-.f64 y (*.f64 x y)))
(fma.f64 x (fma.f64 y -1 z) y)
(fma.f64 x (-.f64 z y) y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def`
232×	`associate-+l+`
228×	`associate-+r+`
184×	`associate--r+`
164×	`associate-r`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	20	21
2	33	21
3	58	21
4	117	17
5	251	15
6	395	15
7	642	15
8	1338	15
9	1683	15
10	1751	15
11	1761	15

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(fma.f64 x y (*.f64 (-.f64 1 x) z))
(-.f64 (fma.f64 x y z) (*.f64 x z))
(fma.f64 x (fma.f64 z -1 y) z)
(fma.f64 x (-.f64 y z) z)

eval1.0ms (0%)

Compiler: Compiled 41 to 20 computations (51.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(fma.f64 x (-.f64 y z) z)
▶	0.01%	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	0.01%	(*.f64 (-.f64 1 x) z)

Compiler

Compiled 27 to 14 computations (48.1% saved)

series5.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite206.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`*-commutative`
944×	`associate-*r/`
678×	`associate-*l/`
632×	`distribute-lft-in`
620×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	213	34
2	2846	34

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

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

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#<rule egg-rr> (2) ((x fma.f64 x y (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (-.f64 1 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z)) (sqrt.f64 (*.f64 (-.f64 1 x) z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) 2) (cbrt.f64 (*.f64 (-.f64 1 x) z)) (*.f64 x y))))))

simplify105.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1110×	`associate-/l/`
1002×	`associate-/r/`
610×	`distribute-lft-neg-in`
560×	`associate-/l*`
560×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	7628
1	995	7220
2	4606	7032

Stop Event

1×	node limit

Counts

184 → 225

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(fma.f64 x (-.f64 y z) z)

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`add-sqr-sqrt`
1848×	`*-un-lft-identity`
1718×	`add-cube-cbrt`
1698×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	169	15
2	2224	15

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1232×	`associate-r`
1096×	`associate-+r+`
1070×	`associate-l`
1062×	`associate-+l+`
628×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	921
1	190	915
2	734	903
3	4283	903

Stop Event

1×	node limit

Counts

59 → 40

Calls

Call 1

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

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

eval95.0ms (1.8%)

Compiler: Compiled 6935 to 3455 computations (50.2% saved)

prune48.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	258	7	265
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	260	7	267

Error

Counts

267 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.04%	(-.f64 z (*.f64 z x))
	43.99%	(+.f64 (.f64 x y) (.f64 (neg.f64 z) x))
▶	16.02%	(+.f64 (*.f64 x y) z)
▶	43.99%	(*.f64 (-.f64 y z) x)
▶	39.04%	(.f64 (+.f64 1 (.f64 -1 x)) z)
▶	58.94%	(*.f64 y x)
	54.45%	z

Compiler

Compiled 106 to 71 computations (33% saved)

localize5.0ms (0.1%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize3.0ms (0.1%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 (-.f64 y z) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite86.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`add-sqr-sqrt`
1646×	`*-un-lft-identity`
1534×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	2001	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify123.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1232×	`fma-def`
1196×	`associate-*r/`
870×	`associate-r`
770×	`associate-l`
566×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	611
1	156	611
2	453	611
3	2969	611
4	6644	611

Stop Event

1×	node limit

Counts

43 → 30

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 z (*.f64 z x))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite95.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`add-sqr-sqrt`
1494×	`*-un-lft-identity`
1396×	`add-cube-cbrt`
1382×	`add-cbrt-cube`
1370×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	133	13
2	1857	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-+l+`
986×	`associate-*r/`
902×	`fma-def`
588×	`times-frac`
546×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1263
1	301	1153
2	1292	1053
3	5380	1053

Stop Event

1×	node limit

Counts

63 → 50

Calls

Call 1

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

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

localize22.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 (+.f64 1 (.f64 -1 x)) z)

Compiler

Compiled 22 to 16 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite51.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`add-sqr-sqrt`
1484×	`*-un-lft-identity`
1378×	`add-cube-cbrt`
1362×	`add-cbrt-cube`
1352×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	180	13
2	2208	13

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

854×	`distribute-lft-out`
814×	`+-commutative`
780×	`*-commutative`
762×	`fma-def`
754×	`associate--r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	462
1	144	428
2	406	420
3	1954	420
4	3420	420
5	5425	420

Stop Event

1×	node limit

Counts

32 → 36

Calls

Call 1

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

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

eval18.0ms (0.3%)

Compiler: Compiled 1153 to 418 computations (63.7% saved)

prune52.0ms (1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	1	1	2
Picked	1	0	1
Done	0	4	4
Total	115	8	123

Error

Counts

123 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.04%	(-.f64 z (*.f64 z x))
▶	43.99%	(+.f64 (.f64 y x) (.f64 (neg.f64 z) x))
✓	16.02%	(+.f64 (*.f64 x y) z)
✓	43.99%	(*.f64 (-.f64 y z) x)
▶	39.04%	(*.f64 z (-.f64 1 x))
▶	82.55%	(*.f64 z (neg.f64 x))
✓	58.94%	(*.f64 y x)
	54.45%	z

Compiler

Compiled 60 to 40 computations (33.3% saved)

localize5.0ms (0.1%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 z (-.f64 1 x))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite72.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1432×	`*-un-lft-identity`
1332×	`add-cube-cbrt`
1316×	`add-cbrt-cube`
1306×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	142	13
2	1752	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Rules

936×	`*-commutative`
846×	`fma-def`
654×	`distribute-lft-neg-out`
634×	`distribute-rgt-neg-out`
572×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	508
1	143	462
2	420	462
3	2176	462
4	4773	462

Stop Event

1×	node limit

Counts

30 → 36

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (.f64 y x) (.f64 (neg.f64 z) x))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite79.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`*-commutative`
814×	`unswap-sqr`
584×	`swap-sqr`
520×	`distribute-lft-in`
502×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	215	13
2	2982	13

Stop Event

1×	node limit

Counts

1 → 139

Calls

Call 1

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

Outputs

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

simplify108.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1076×	`associate-l`
1046×	`associate-r`
886×	`times-frac`
706×	`associate-+r+`
684×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	365	7119
1	1196	6419
2	7489	6419

Stop Event

1×	node limit

Counts

175 → 226

Calls

Call 1

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

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

eval64.0ms (1.2%)

Compiler: Compiled 5584 to 1906 computations (65.9% saved)

prune53.0ms (1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	261	1	262
Fresh	0	1	1
Picked	1	0	1
Done	0	6	6
Total	262	8	270

Error

Counts

270 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.99%	(-.f64 (.f64 y x) (.f64 x z))
✓	39.04%	(-.f64 z (*.f64 z x))
✓	16.02%	(+.f64 (*.f64 x y) z)
✓	43.99%	(*.f64 (-.f64 y z) x)
✓	39.04%	(*.f64 z (-.f64 1 x))
✓	82.55%	(*.f64 z (neg.f64 x))
✓	58.94%	(*.f64 y x)
	54.45%	z

Compiler

Compiled 59 to 39 computations (33.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (.f64 y x) (.f64 x z))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1984×	`add-sqr-sqrt`
1968×	`*-un-lft-identity`
1832×	`add-cube-cbrt`
1814×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	177	13
2	2442	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1400×	`fma-def`
1084×	`times-frac`
778×	`associate-/l*`
584×	`*-commutative`
498×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	2313
1	404	1775
2	1860	1657

Stop Event

1×	node limit

Counts

87 → 72

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 (-.f64 y z) x)
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 (-.f64 y z) x)
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 (-.f64 y z) x)
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 (-.f64 y z) x)
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 (-.f64 y z) x)
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 (-.f64 y z) x)
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 (-.f64 y z) x)
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 (-.f64 y z) x)
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(.f64 -1 (.f64 (-.f64 (.f64 -1 y) (.f64 -1 z)) x))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(.f64 -1 (.f64 (-.f64 (.f64 -1 y) (.f64 -1 z)) x))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(.f64 -1 (.f64 (-.f64 (.f64 -1 y) (.f64 -1 z)) x))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(.f64 -1 (.f64 (-.f64 (.f64 -1 y) (.f64 -1 z)) x))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 x (neg.f64 z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (+.f64 (.f64 x (neg.f64 z)) (fma.f64 (neg.f64 z) x (*.f64 x z))))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 (*.f64 x (neg.f64 z)) 1))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 x (-.f64 y z)) (fma.f64 (neg.f64 z) x (.f64 x z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 x (-.f64 y z)) (+.f64 (fma.f64 (neg.f64 z) x (.f64 x z)) (fma.f64 (neg.f64 z) x (*.f64 x z))))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 x (-.f64 y z)) (.f64 (fma.f64 (neg.f64 z) x (*.f64 x z)) 1))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 x (-.f64 y z)) (fma.f64 (neg.f64 x) z (.f64 x z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 x (-.f64 y z)) (fma.f64 (.f64 x (neg.f64 z)) 1 (*.f64 x z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 x (-.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x z))) (sqrt.f64 (.f64 x z)) (.f64 x z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 x (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x z))) (pow.f64 (cbrt.f64 (.f64 x z)) 2) (.f64 x z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 x (neg.f64 z)) (.f64 y x))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (fma.f64 (neg.f64 z) x (.f64 x z)) (.f64 x (-.f64 y z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(.f64 (.f64 x (-.f64 y z)) 1)
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(.f64 1 (.f64 x (-.f64 y z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(.f64 (sqrt.f64 (.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(.f64 (cbrt.f64 (.f64 x (-.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 y z))) 2) (cbrt.f64 (*.f64 x (-.f64 y z))))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 x z) 2)) (/.f64 1 (.f64 x (+.f64 y z))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (*.f64 z x) 2)) (/.f64 (/.f64 1 x) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z x) 2)) (*.f64 x (+.f64 z y)))
(.f64 (/.f64 (.f64 x (+.f64 z y)) x) (/.f64 (*.f64 x (-.f64 y z)) (+.f64 z y)))
(.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 x z) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 x z) (*.f64 x (+.f64 y z))))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 z x) (*.f64 x (+.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 x (.f64 z (.f64 x (+.f64 z y))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 z (.f64 x (.f64 x (+.f64 z y))) (pow.f64 (*.f64 x y) 2)))
(.f64 (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 x z))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 x z))))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(/.f64 1 (/.f64 (.f64 x (+.f64 y z)) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 x z) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (*.f64 z x) 2)) (/.f64 (/.f64 1 x) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z x) 2)) (*.f64 x (+.f64 z y)))
(.f64 (/.f64 (.f64 x (+.f64 z y)) x) (/.f64 (*.f64 x (-.f64 y z)) (+.f64 z y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 x z) (.f64 x (+.f64 y z)))) (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 x z) 3))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 z x) (*.f64 x (+.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 x (.f64 z (.f64 x (+.f64 z y))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 z (.f64 x (.f64 x (+.f64 z y))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 x z) 2)) (*.f64 x (+.f64 y z)))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (*.f64 z x) 2)) (/.f64 (/.f64 1 x) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z x) 2)) (*.f64 x (+.f64 z y)))
(.f64 (/.f64 (.f64 x (+.f64 z y)) x) (/.f64 (*.f64 x (-.f64 y z)) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 x z) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 x z) (.f64 x (+.f64 y z)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 z x) (*.f64 x (+.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 x (.f64 z (.f64 x (+.f64 z y))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 z (.f64 x (.f64 x (+.f64 z y))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 x (neg.f64 z)) (.f64 x (neg.f64 z)))) (-.f64 (.f64 y x) (.f64 x (neg.f64 z))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (*.f64 z x) 2)) (/.f64 (/.f64 1 x) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z x) 2)) (*.f64 x (+.f64 z y)))
(.f64 (/.f64 (.f64 x (+.f64 z y)) x) (/.f64 (*.f64 x (-.f64 y z)) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 y z)) 2) (.f64 (fma.f64 (neg.f64 z) x (.f64 x z)) (fma.f64 (neg.f64 z) x (.f64 x z)))) (-.f64 (.f64 x (-.f64 y z)) (fma.f64 (neg.f64 z) x (.f64 x z))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 y z)) 2) (.f64 (fma.f64 (neg.f64 z) x (.f64 z x)) (fma.f64 (neg.f64 z) x (.f64 z x)))) (-.f64 (.f64 x (-.f64 y z)) (fma.f64 (neg.f64 z) x (.f64 z x))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 y z)) 2) (.f64 (.f64 0 (.f64 z x)) (.f64 0 (.f64 z x)))) (fma.f64 x (-.f64 y z) (.f64 0 (.f64 z x))))
(/.f64 (pow.f64 (.f64 x (-.f64 y z)) 2) (.f64 x (-.f64 y z)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 x (neg.f64 z)) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 (.f64 x (neg.f64 z)) (.f64 x (neg.f64 z))) (.f64 (.f64 y x) (*.f64 x (neg.f64 z))))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 z x) (*.f64 x (+.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 x (.f64 z (.f64 x (+.f64 z y))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 z (.f64 x (.f64 x (+.f64 z y))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 y z)) 3) (pow.f64 (fma.f64 (neg.f64 z) x (.f64 x z)) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 y z)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 z) x (.f64 x z)) (fma.f64 (neg.f64 z) x (.f64 x z))) (.f64 (.f64 x (-.f64 y z)) (fma.f64 (neg.f64 z) x (*.f64 x z))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 y z)) 3) (pow.f64 (fma.f64 (neg.f64 z) x (.f64 z x)) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 y z)) 2) (.f64 (fma.f64 (neg.f64 z) x (.f64 z x)) (-.f64 (fma.f64 (neg.f64 z) x (.f64 z x)) (*.f64 x (-.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 y z)) 3) (pow.f64 (.f64 0 (.f64 z x)) 3)) (fma.f64 (.f64 0 (.f64 z x)) (-.f64 (.f64 0 (.f64 z x)) (.f64 x (-.f64 y z))) (pow.f64 (*.f64 x (-.f64 y z)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 y z)) 3) 0) (pow.f64 (.f64 x (-.f64 y z)) 2))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 x z) 2))) (neg.f64 (*.f64 x (+.f64 y z))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (*.f64 z x) 2)) (/.f64 (/.f64 1 x) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z x) 2)) (*.f64 x (+.f64 z y)))
(.f64 (/.f64 (.f64 x (+.f64 z y)) x) (/.f64 (*.f64 x (-.f64 y z)) (+.f64 z y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 x z) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 x z) (.f64 x (+.f64 y z))))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 z x) (*.f64 x (+.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 x (.f64 z (.f64 x (+.f64 z y))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 z (.f64 x (.f64 x (+.f64 z y))) (pow.f64 (*.f64 x y) 2)))
(pow.f64 (*.f64 x (-.f64 y z)) 1)
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 2)
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3)
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) 1/3)
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(log.f64 (exp.f64 (*.f64 x (-.f64 y z))))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 y z)))))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(exp.f64 (log.f64 (*.f64 x (-.f64 y z))))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 y z))) 1))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(fma.f64 y x (*.f64 x (neg.f64 z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(fma.f64 x y (*.f64 x (neg.f64 z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(fma.f64 1 (.f64 y x) (.f64 x (neg.f64 z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(fma.f64 1 (.f64 x (-.f64 y z)) (fma.f64 (neg.f64 z) x (.f64 x z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 y z))) (sqrt.f64 (.f64 x (-.f64 y z))) (fma.f64 (neg.f64 z) x (*.f64 x z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 x (neg.f64 z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 y z))) 2) (cbrt.f64 (.f64 x (-.f64 y z))) (fma.f64 (neg.f64 z) x (*.f64 x z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (*.f64 x (neg.f64 z)))
(fma.f64 x y (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))

eval13.0ms (0.2%)

Compiler: Compiled 1167 to 338 computations (71% saved)

prune13.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	72	8	80

Error

Counts

80 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.99%	(-.f64 (.f64 y x) (.f64 x z))
✓	39.04%	(-.f64 z (*.f64 z x))
✓	16.02%	(+.f64 (*.f64 x y) z)
✓	43.99%	(*.f64 (-.f64 y z) x)
✓	39.04%	(*.f64 z (-.f64 1 x))
✓	82.55%	(*.f64 z (neg.f64 x))
✓	58.94%	(*.f64 y x)
	54.45%	z

Compiler

Compiled 59 to 39 computations (33.9% saved)

regimes34.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(fma.f64 x (-.f64 y z) z)

Calls

4 calls:

8.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
8.0ms	z
7.0ms	y
7.0ms	x

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`y`
0.01%	1	`z`
0.01%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))`

Compiler

Compiled 100 to 48 computations (52% saved)

regimes73.0ms (1.4%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Calls

4 calls:

52.0ms	y
7.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
6.0ms	z
6.0ms	x

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`y`
0.01%	1	`z`
0.01%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))`

Compiler

Compiled 94 to 47 computations (50% saved)

regimes86.0ms (1.6%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	x
24.0ms	y
24.0ms	z

Results

Error	Segments	Branch
1.24%	3	`x`
8.83%	3	`y`
13.74%	2	`z`

Compiler

Compiled 73 to 35 computations (52.1% saved)

bsearch32.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.221638612152862e-9	6.819095302781274e-5
15.0ms	-326.24291384961367	-9.395495518770405e-5

Results

26.0ms

272×

body

256

valid

Compiler

Compiled 324 to 217 computations (33% saved)

regimes77.0ms (1.4%)

Counts

5 → 3

Calls

Call 1

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

Outputs
(*.f64 (-.f64 y z) x)
(*.f64 z (-.f64 1 x))
(*.f64 (-.f64 y z) x)

Calls

3 calls:

29.0ms	x
23.0ms	z
23.0ms	y

Results

Error	Segments	Branch
17.87%	3	`x`
23.18%	5	`y`
20.42%	5	`z`

Compiler

Compiled 33 to 20 computations (39.4% saved)

bsearch55.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	8.692855902440366e-111	1.0488259649356293e-109
14.0ms	-2.2935053691376425e-72	-9.287039979670654e-76

Results

52.0ms

224×

body

256

valid

Compiler

Compiled 270 to 195 computations (27.8% saved)

regimes111.0ms (2.1%)

Counts

4 → 5

Calls

Call 1

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

Outputs
(*.f64 z (-.f64 1 x))
(*.f64 y x)
z
(*.f64 y x)
(*.f64 z (-.f64 1 x))

Calls

3 calls:

48.0ms	y
42.0ms	x
20.0ms	z

Results

Error	Segments	Branch
27.23%	6	`x`
25.13%	5	`y`
23.29%	5	`z`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch50.0ms (0.9%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.92519206480317e-125	5.5909616943226625e-123
13.0ms	1.598635420907159e-226	6.426841818330808e-222
14.0ms	6.4752043373111816e-260	1.0062492084868096e-256
10.0ms	-4.047051417808088e-67	-9.622184554800441e-68

Results

45.0ms

464×

body

256

valid

Compiler

Compiled 418 to 313 computations (25.1% saved)

regimes83.0ms (1.6%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	z
18.0ms	y
18.0ms	x

Results

Error	Segments	Branch
28.37%	6	`x`
38.11%	5	`y`
36.22%	5	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch110.0ms (2.1%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.403558345388658e+79	4.0428034704725354e+86
13.0ms	6.819095302781274e-5	1.6419366676597285
17.0ms	8.692855902440366e-111	1.0488259649356293e-109
13.0ms	-2.2935053691376425e-72	-9.287039979670654e-76
46.0ms	-5.172105113377778e+216	-1.1935251951924225e+198

Results

84.0ms	656×	body	256	valid
19.0ms	206×	body	256	infinite

Compiler

Compiled 591 to 436 computations (26.2% saved)

regimes481.0ms (9%)

Accuracy

Total -41.0b remaining (-196%)

Threshold costs -41b (-196%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

Outputs
(*.f64 y x)
z
(*.f64 y x)

Calls

3 calls:

275.0ms	x
188.0ms	y
17.0ms	z

Results

Error	Segments	Branch
32.7%	3	`x`
38.11%	5	`y`
36.22%	5	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch61.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	8.692855902440366e-111	1.0488259649356293e-109
13.0ms	-2.2935053691376425e-72	-9.287039979670654e-76

Results

58.0ms

224×

body

256

valid

Compiler

Compiled 186 to 139 computations (25.3% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
14×	`+-commutative`
8×	`sub-neg`
8×	`if-if-or-not`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	342
1	99	342
2	109	342
3	115	342
4	117	342

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 y z) z)
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(if (<=.f64 x -1) (.f64 (-.f64 y z) x) (if (<=.f64 x 4796153459164483/73786976294838206464) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -4276979833124165/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (.f64 (-.f64 y z) x) (if (<=.f64 x 4230758200257591/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z (-.f64 1 x)) (*.f64 (-.f64 y z) x)))
(if (<=.f64 z -2504221618884729/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 z (-.f64 1 x)) (if (<=.f64 z 6762169998536515/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (.f64 y x) (if (<=.f64 z 8535058474086213/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) z (if (<=.f64 z 7442828536787015/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (.f64 y x) (.f64 z (-.f64 1 x))))))
(if (<=.f64 x -154999999999999995335284322866680163162396785547505327949664378248109168853564126156347773546872812527122861958419662370404501384572736086137076778469284049144698640608116758778465488469995739883213084950528) (.f64 z (neg.f64 x)) (if (<=.f64 x -55948864096101/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 y x) (if (<=.f64 x 8123055744494575/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) z (if (<=.f64 x 3602879701896397/2251799813685248) (.f64 y x) (if (<=.f64 x 329999999999999990872987032538858176505600501576799842120514678048468969671622656) (.f64 z (neg.f64 x)) (*.f64 y x))))))
(if (<=.f64 x -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (.f64 y x) (if (<=.f64 x 4315373364262743/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) z (.f64 y x)))
z

Outputs
(fma.f64 x (-.f64 y z) z)
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(+.f64 (.f64 z (-.f64 1 x)) (.f64 x y))
(if (<=.f64 x -1) (.f64 (-.f64 y z) x) (if (<=.f64 x 4796153459164483/73786976294838206464) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 4796153459164483/73786976294838206464))) (.f64 x (-.f64 y z)) (+.f64 z (.f64 x y)))
(if (<=.f64 x -4276979833124165/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (.f64 (-.f64 y z) x) (if (<=.f64 x 4230758200257591/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z (-.f64 1 x)) (*.f64 (-.f64 y z) x)))
(if (or (<=.f64 x -4276979833124165/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (not (<=.f64 x 4230758200257591/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536))) (.f64 x (-.f64 y z)) (.f64 z (-.f64 1 x)))
(if (<=.f64 z -2504221618884729/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 z (-.f64 1 x)) (if (<=.f64 z 6762169998536515/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (.f64 y x) (if (<=.f64 z 8535058474086213/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) z (if (<=.f64 z 7442828536787015/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (.f64 y x) (.f64 z (-.f64 1 x))))))
(if (<=.f64 z -2504221618884729/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 z (-.f64 1 x)) (if (<=.f64 z 6762169998536515/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (.f64 x y) (if (<=.f64 z 8535058474086213/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) z (if (<=.f64 z 7442828536787015/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (.f64 x y) (.f64 z (-.f64 1 x))))))
(if (<=.f64 x -154999999999999995335284322866680163162396785547505327949664378248109168853564126156347773546872812527122861958419662370404501384572736086137076778469284049144698640608116758778465488469995739883213084950528) (.f64 z (neg.f64 x)) (if (<=.f64 x -55948864096101/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 y x) (if (<=.f64 x 8123055744494575/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) z (if (<=.f64 x 3602879701896397/2251799813685248) (.f64 y x) (if (<=.f64 x 329999999999999990872987032538858176505600501576799842120514678048468969671622656) (.f64 z (neg.f64 x)) (*.f64 y x))))))
(if (<=.f64 x -154999999999999995335284322866680163162396785547505327949664378248109168853564126156347773546872812527122861958419662370404501384572736086137076778469284049144698640608116758778465488469995739883213084950528) (.f64 z (neg.f64 x)) (if (<=.f64 x -55948864096101/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 x y) (if (<=.f64 x 8123055744494575/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) z (if (<=.f64 x 3602879701896397/2251799813685248) (.f64 x y) (if (<=.f64 x 329999999999999990872987032538858176505600501576799842120514678048468969671622656) (.f64 z (neg.f64 x)) (*.f64 x y))))))
(if (<=.f64 x -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (.f64 y x) (if (<=.f64 x 4315373364262743/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) z (.f64 y x)))
(if (<=.f64 x -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (.f64 x y) (if (<=.f64 x 4315373364262743/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) z (.f64 x y)))
z

Compiler

Compiled 164 to 98 computations (40.2% saved)

soundness110.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def`
232×	`associate-+l+`
228×	`associate-+r+`
184×	`associate--r+`
164×	`associate-r`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	20	21
2	33	21
3	58	21
4	117	17
5	251	15
6	395	15
7	642	15
8	1338	15
9	1683	15
10	1751	15
11	1761	15

Stop Event

1×

saturated

Compiler

Compiled 183 to 79 computations (56.8% saved)

end65.0ms (1.2%)

Compiler: Compiled 143 to 70 computations (51% saved)

Details

analyze755.0ms (14.2%)

sample1.2s (22%)

preprocess115.0ms (2.2%)

simplify45.0ms (0.8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize10.0ms (0.2%)

series5.0ms (0.1%)

rewrite206.0ms (3.9%)

simplify105.0ms (2%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite57.0ms (1.1%)

simplify55.0ms (1%)

eval95.0ms (1.8%)

prune48.0ms (0.9%)

localize5.0ms (0.1%)

localize3.0ms (0.1%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite86.0ms (1.6%)

simplify123.0ms (2.3%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite95.0ms (1.8%)

simplify65.0ms (1.2%)

localize22.0ms (0.4%)

series1.0ms (0%)

rewrite51.0ms (0.9%)

simplify65.0ms (1.2%)

eval18.0ms (0.3%)

prune52.0ms (1%)

localize5.0ms (0.1%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite72.0ms (1.4%)

simplify55.0ms (1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite79.0ms (1.5%)

simplify108.0ms (2%)

eval64.0ms (1.2%)

prune53.0ms (1%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite65.0ms (1.2%)

simplify54.0ms (1%)

eval13.0ms (0.2%)

prune13.0ms (0.2%)

regimes34.0ms (0.6%)

regimes73.0ms (1.4%)

regimes86.0ms (1.6%)

bsearch32.0ms (0.6%)

regimes77.0ms (1.4%)

bsearch55.0ms (1%)

regimes111.0ms (2.1%)

bsearch50.0ms (0.9%)

regimes83.0ms (1.6%)

bsearch110.0ms (2.1%)

regimes481.0ms (9%)

bsearch61.0ms (1.1%)

simplify14.0ms (0.3%)

soundness110.0ms (2.1%)

end65.0ms (1.2%)

Profiling