Details

analyze331.0ms (11.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
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)

sample1.7s (58%)

Results

1.6s	8256×	body	256	valid
122.0ms	1267×	body	256	infinite

Bogosity

preprocess105.0ms (3.5%)

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)

simplify43.0ms (1.4%)

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 (0.1%)

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
▶	0b	(fma.f64 x (-.f64 y z) z)
▶	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	0.0b	(*.f64 (-.f64 1 x) z)

Compiler

Compiled 27 to 14 computations (48.1% saved)

series4.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite76.0ms (2.6%)

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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(-.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 (-.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 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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))))))

simplify95.0ms (3.2%)

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)

localize6.0ms (0.2%)

Compiler: Compiled 15 to 5 computations (66.7% saved)

eval87.0ms (2.9%)

Compiler: Compiled 6489 to 3330 computations (48.7% saved)

prune35.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	222	3	225
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	223	4	227

Error

Counts

227 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
▶	11.1b	(+.f64 (*.f64 x y) z)
▶	39.6b	(*.f64 y x)
▶	29.1b	(*.f64 x (-.f64 y z))

Compiler

Compiled 34 to 22 computations (35.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (1.7%)

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 x (-.f64 y z))

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 x (-.f64 y z)))) 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 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 (pow.f64 (exp.f64 (-.f64 y z)) x))))) (#(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))))))))

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

simplify62.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1232×	`fma-def`
1218×	`associate-*r/`
904×	`associate-r`
772×	`associate-l`
566×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	767
1	157	767
2	456	767
3	3029	767
4	6699	767

Stop Event

1×	node limit

Counts

55 → 27

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize5.0ms (0.2%)

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

eval4.0ms (0.1%)

Compiler: Compiled 250 to 95 computations (62% saved)

prune6.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	26	5	31

Error

Counts

31 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	11.1b	(+.f64 (*.f64 x y) z)
▶	52.1b	(*.f64 z (neg.f64 x))
✓	39.6b	(*.f64 y x)
✓	29.1b	(*.f64 x (-.f64 y z))

Compiler

Compiled 41 to 27 computations (34.1% saved)

localize4.0ms (0.1%)

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

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	11.1b	(+.f64 (*.f64 x y) z)
✓	52.1b	(*.f64 z (neg.f64 x))
✓	39.6b	(*.f64 y x)
✓	29.1b	(*.f64 x (-.f64 y z))

Compiler

Compiled 41 to 27 computations (34.1% saved)

regimes24.0ms (0.8%)

Counts

6 → 1

Calls

Call 1

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

9.0ms	x
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
4.0ms	y
4.0ms	z

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))`

Compiler

Compiled 59 to 32 computations (45.8% saved)

regimes19.0ms (0.6%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	z
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 53 to 31 computations (41.5% saved)

regimes32.0ms (1.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	y
11.0ms	x
10.0ms	z

Results

Error	Segments	Branch
0.8b	3	`x`
9.2b	3	`y`
9.7b	3	`z`

Compiler

Compiled 32 to 19 computations (40.6% saved)

bsearch18.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	1.9835192628953774e-11	5.1133054644775695e-11
9.0ms	-8.985382130073246e+44	-3.2888028515078905e+44

Results

15.0ms	160×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 198 to 133 computations (32.8% saved)

regimes11.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
29.1b	1	`x`
29.1b	1	`y`
29.1b	1	`z`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes36.0ms (1.2%)

Accuracy

Total -27.5b remaining (-79.7%)

Threshold costs -27.5b (-79.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	z
11.0ms	x
8.0ms	y

Results

Error	Segments	Branch
37.2b	4	`x`
34.6b	3	`y`
34.8b	5	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch28.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	2.5953478380256626e-102	1.2796429569136565e-99
14.0ms	-1.3894102214958863e-45	-1.1177205850882836e-48

Results

25.0ms

256×

body

256

valid

Compiler

Compiled 258 to 189 computations (26.7% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
14×	`+-commutative`
8×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	154
1	60	154
2	70	154
3	76	154
4	78	154

Stop Event

1×	done
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 -330000000000000013264860134658327195607367680) (.f64 x (-.f64 y z)) (if (<=.f64 x 7737125245533627/154742504910672534362390528) (+.f64 (.f64 x y) z) (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(if (<=.f64 y -7371860416799003/6582018229284824168619876730229402019930943462534319453394436096) (.f64 y x) (if (<=.f64 y 6619537040994273/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (.f64 z (neg.f64 x)) (*.f64 y x)))
(*.f64 y x)

Outputs
(fma.f64 x (-.f64 y z) z)
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(+.f64 (.f64 x y) (.f64 z (-.f64 1 x)))
(if (<=.f64 x -330000000000000013264860134658327195607367680) (.f64 x (-.f64 y z)) (if (<=.f64 x 7737125245533627/154742504910672534362390528) (+.f64 (.f64 x y) z) (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x -330000000000000013264860134658327195607367680) (not (<=.f64 x 7737125245533627/154742504910672534362390528))) (.f64 x (-.f64 y z)) (+.f64 z (.f64 x y)))
(*.f64 x (-.f64 y z))
(if (<=.f64 y -7371860416799003/6582018229284824168619876730229402019930943462534319453394436096) (.f64 y x) (if (<=.f64 y 6619537040994273/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (.f64 z (neg.f64 x)) (*.f64 y x)))
(if (<=.f64 y -7371860416799003/6582018229284824168619876730229402019930943462534319453394436096) (.f64 x y) (if (<=.f64 y 6619537040994273/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (.f64 z (neg.f64 x)) (*.f64 x y)))
(if (<=.f64 y -7371860416799003/6582018229284824168619876730229402019930943462534319453394436096) (.f64 x y) (if (<=.f64 y 6619537040994273/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (.f64 x (neg.f64 z)) (*.f64 x y)))
(*.f64 y x)
(*.f64 x y)

Compiler

Compiled 78 to 48 computations (38.5% saved)

soundness106.0ms (3.5%)

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)

end35.0ms (1.2%)

Compiler: Compiled 63 to 27 computations (57.1% saved)

Details

analyze331.0ms (11.1%)

sample1.7s (58%)

preprocess105.0ms (3.5%)

simplify43.0ms (1.4%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize10.0ms (0.3%)

series4.0ms (0.1%)

rewrite76.0ms (2.6%)

simplify95.0ms (3.2%)

localize6.0ms (0.2%)

eval87.0ms (2.9%)

prune35.0ms (1.2%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite51.0ms (1.7%)

simplify62.0ms (2.1%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

eval4.0ms (0.1%)

prune6.0ms (0.2%)

localize4.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes24.0ms (0.8%)

regimes19.0ms (0.6%)

regimes32.0ms (1.1%)

bsearch18.0ms (0.6%)

regimes11.0ms (0.4%)

regimes36.0ms (1.2%)

bsearch28.0ms (0.9%)

simplify8.0ms (0.3%)

soundness106.0ms (3.5%)

end35.0ms (1.2%)

Profiling