Details

analyze234.0ms (2.7%)

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
25.2%	25%	74.1%	0.1%	0.8%	0%	0%	9
36.6%	35.9%	62.2%	0.1%	1.8%	0%	0%	10
43.2%	42.1%	55.5%	0.1%	2.2%	0%	0%	11
50.4%	48%	47.2%	0.1%	4.7%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.5s (16.9%)

Results

1.2s	8256×	body	256	valid
240.0ms	1687×	body	256	infinite

Bogosity

preprocess70.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1090×	`times-frac`
1040×	`associate--r-`
924×	`fma-neg`
826×	`+-commutative`
772×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	140
1	73	140
2	152	140
3	294	140
4	461	124
5	943	124
6	1666	124
7	3254	124
8	7633	124
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y)))

Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x))))
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (*.f64 y z) x) (/.f64 (+.f64 4 y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 4 y) x) (*.f64 z (/.f64 y x))))
(fabs.f64 (fma.f64 z (/.f64 y x) (/.f64 (-.f64 -4 y) x)))
(fabs.f64 (fma.f64 y (/.f64 z x) (/.f64 (-.f64 -4 y) x)))
(fabs.f64 (*.f64 (/.f64 -1 x) (fma.f64 y z (-.f64 -4 y))))
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 4 z) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 z) y)))
(fabs.f64 (fma.f64 (/.f64 x y) z (/.f64 (-.f64 -4 z) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 y (/.f64 x z))))
(fabs.f64 (fma.f64 y (/.f64 x z) (/.f64 (-.f64 -4 x) z)))
(fabs.f64 (fma.f64 x (/.f64 y z) (/.f64 (-.f64 -4 x) z)))
(fabs.f64 (*.f64 (/.f64 -1 z) (fma.f64 x y (-.f64 -4 x))))

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1172×	`fma-def`
780×	`associate-+r+`
684×	`associate-+l+`
622×	`associate-+l-`
608×	`associate--r+`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	24	35
2	48	35
3	88	35
4	140	31
5	283	31
6	511	31
7	982	31
8	2079	25
9	4005	25
10	4865	25
11	5761	25
12	6034	25
13	6034	25

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))

Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(fabs.f64 (fma.f64 (/.f64 x y) z (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))

eval1.0ms (0%)

Compiler: Compiled 58 to 33 computations (43.1% saved)

prune2.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1	4	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	5	6

Error

0.0b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.6b	(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
▶	3.1b	(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
▶	2.2b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
▶	2.1b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))

Compiler

Compiled 56 to 37 computations (33.9% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
✓	3.7b	(*.f64 (/.f64 x y) z)

Compiler

Compiled 46 to 20 computations (56.5% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
1.0ms	y	@	0	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
1.0ms	x	@	0	(*.f64 (/.f64 x y) z)
1.0ms	y	@	inf	(*.f64 (/.f64 x y) z)
1.0ms	y	@	0	(*.f64 (/.f64 x y) z)

rewrite150.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`associate-/l*`
762×	`distribute-rgt-in`
714×	`distribute-lft-in`
538×	`associate-/r/`
380×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	256	38
2	3757	38

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

Inputs
(*.f64 (/.f64 x y) z)
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))

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

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

simplify168.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-/r/`
958×	`associate-+r+`
850×	`associate-+l+`
722×	`+-commutative`
698×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	439	10597
1	1224	9365
2	5261	9359

Stop Event

1×	node limit

Counts

233 → 262

Calls

Call 1

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
✓	3.8b	(/.f64 z (/.f64 y x))

Compiler

Compiled 46 to 20 computations (56.5% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 z (/.f64 y x))
0.0ms	y	@	inf	(/.f64 z (/.f64 y x))
0.0ms	x	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
0.0ms	z	@	inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
0.0ms	y	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))

rewrite124.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`associate-/r/`
836×	`distribute-rgt-in`
812×	`associate-/l/`
794×	`distribute-lft-in`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	265	44
2	4213	44

Stop Event

1×	node limit

Counts

2 → 225

Calls

Call 1

Inputs
(/.f64 z (/.f64 y x))
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))

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

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1116×	`associate-r`
820×	`*-commutative`
816×	`associate-l`
688×	`associate-/l*`
570×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	609	13437
1	1984	12419

Stop Event

1×	node limit

Counts

297 → 341

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (fma.f64 x z -4))
✓	2.9b	(/.f64 (-.f64 x (fma.f64 x z -4)) y)

Compiler

Compiled 34 to 18 computations (47.1% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (-.f64 x (fma.f64 x z -4)) y)
2.0ms	x	@	inf	(/.f64 (-.f64 x (fma.f64 x z -4)) y)
1.0ms	x	@	0	(/.f64 (-.f64 x (fma.f64 x z -4)) y)
1.0ms	z	@	-inf	(/.f64 (-.f64 x (fma.f64 x z -4)) y)
1.0ms	y	@	0	(/.f64 (-.f64 x (fma.f64 x z -4)) y)

rewrite114.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`associate-*r/`
1214×	`associate-/r*`
1088×	`associate-/l*`
1074×	`*-commutative`
938×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	219	36
2	3031	36

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

Inputs
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(-.f64 x (fma.f64 x z -4))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 4 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (-.f64 4 (*.f64 x z)) (fma.f64 (-.f64 4 (*.f64 x z)) 1 (fma.f64 x z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (-.f64 4 (*.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x z -4))) (sqrt.f64 (fma.f64 x z -4)) (fma.f64 x z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (-.f64 4 (*.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x z -4))) (pow.f64 (cbrt.f64 (fma.f64 x z -4)) 2) (fma.f64 x z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 x z -4)) (fma.f64 (-.f64 4 (*.f64 x z)) 1 (fma.f64 x z -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 x z -4)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x z -4))) (sqrt.f64 (fma.f64 x z -4)) (fma.f64 x z -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 x z -4)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x z -4))) (pow.f64 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simplify116.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1428×	`associate-+r+`
1056×	`+-commutative`
906×	`associate-+l-`
692×	`associate--r+`
664×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	397	9133
1	1091	8295
2	5427	8295

Stop Event

1×	node limit

Counts

211 → 252

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.3b	(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))

Compiler

Compiled 39 to 19 computations (51.3% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
1.0ms	x	@	0	(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
1.0ms	y	@	-inf	(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
1.0ms	z	@	0	(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
1.0ms	x	@	inf	(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`associate-*l/`
1696×	`associate-/r*`
1346×	`associate-/l*`
364×	`associate-/r/`
256×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	243	27
2	3332	27

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))

Outputs

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

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1418×	`associate-r`
1288×	`associate-+r+`
1228×	`associate-+l+`
1216×	`associate-l`
622×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	2624
1	283	2384
2	1050	1676
3	5973	1676

Stop Event

1×	node limit

Counts

66 → 55

Calls

Call 1

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

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

eval548.0ms (6.3%)

Compiler: Compiled 24600 to 11877 computations (51.7% saved)

prune335.0ms (3.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	901	9	910
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	905	9	914

Error

Counts

914 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.1b	(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
	28.9b	(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
▶	20.1b	(fabs.f64 (/.f64 (-.f64 -4 x) y))
▶	29.8b	(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
	45.0b	(fabs.f64 (/.f64 (*.f64 z x) y))
	43.9b	(fabs.f64 (/.f64 x (/.f64 y (neg.f64 z))))
▶	34.5b	(fabs.f64 (/.f64 4 y))
▶	44.3b	(fabs.f64 (*.f64 (/.f64 z y) x))
	43.9b	(fabs.f64 (*.f64 (/.f64 x y) z))

Compiler

Compiled 176 to 126 computations (28.4% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x 4) (*.f64 x z))
✓	2.9b	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

Compiler

Compiled 39 to 19 computations (51.3% saved)

series25.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	(-.f64 (+.f64 x 4) (*.f64 x z))
0.0ms	x	@	-inf	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
0.0ms	x	@	inf	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
0.0ms	z	@	-inf	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
0.0ms	z	@	inf	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite97.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`associate-/l*`
1554×	`associate-/r*`
1112×	`distribute-lft-in`
448×	`associate-/r/`
442×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	235	44
2	3472	44

Stop Event

1×	node limit

Counts

2 → 227

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
(-.f64 (+.f64 x 4) (*.f64 x z))

Outputs

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(/.f64 (+.f64 x 4) y) (*.f64 1 (neg.f64 (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 1 y) (neg.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 1 y) (*.f64 (neg.f64 (*.f64 x z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 z y) x)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) (-.f64 4 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) (*.f64 (-.f64 4 (*.f64 x z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) (-.f64 4 (*.f64 x z))) (*.f64 (/.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) 4) (*.f64 (/.f64 1 y) (+.f64 x (neg.f64 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) 4) (*.f64 (/.f64 1 y) (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) (neg.f64 (*.f64 x z))) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (*.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (*.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 2) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 4 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -4 (-.f64 x (*.f64 x z))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (-.f64 -4 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 1) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x 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(+.f64 x (+.f64 4 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) 1) (+.f64 (pow.f64 (+.f64 x 4) 2) (*.f64 (*.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (*.f64 (*.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (*.f64 (*.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (*.f64 (*.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (*.f64 (*.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (*.f64 (*.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 4 (-.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 5 (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 4 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 4) (neg.f64 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 4)) (sqrt.f64 (+.f64 x 4)) (neg.f64 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 4 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (cbrt.f64 (+.f64 x 4)) (neg.f64 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 4 (*.f64 x z)))))))

simplify160.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

896×	`fma-def`
768×	`associate-r`
672×	`associate-l`
608×	`+-commutative`
580×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	569	13235
1	1672	10709

Stop Event

1×	node limit

Counts

287 → 333

Calls

Call 1

Inputs
(/.f64 4 y)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(/.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) y)
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(/.f64 (+.f64 4 x) y)
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
4
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 x)
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(.f64 -1 (.f64 z x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(.f64 -1 (.f64 z x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y) (.f64 (/.f64 1 y) (fma.f64 (neg.f64 z) x (*.f64 x z))))
(+.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y) (.f64 (/.f64 1 y) (fma.f64 (neg.f64 x) z (*.f64 x z))))
(+.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y) (.f64 (/.f64 1 y) (fma.f64 (neg.f64 (.f64 x z)) 1 (.f64 x z))))
(+.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y) (.f64 (/.f64 1 y) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x z))) (sqrt.f64 (.f64 x z)) (*.f64 x z))))
(+.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y) (.f64 (/.f64 1 y) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x z))) (pow.f64 (cbrt.f64 (.f64 x z)) 2) (*.f64 x z))))
(+.f64 (/.f64 (+.f64 x 4) y) (neg.f64 (*.f64 (/.f64 z y) x)))
(+.f64 (/.f64 (+.f64 x 4) y) (.f64 1 (neg.f64 (.f64 (/.f64 z y) x))))
(+.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 1 y) (neg.f64 (.f64 x z))))
(+.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 1 y) (.f64 (neg.f64 (*.f64 x z)) 1)))
(+.f64 (neg.f64 (*.f64 (/.f64 z y) x)) (/.f64 (+.f64 x 4) y))
(+.f64 (.f64 (/.f64 1 y) x) (.f64 (/.f64 1 y) (-.f64 4 (*.f64 x z))))
(+.f64 (.f64 (/.f64 1 y) x) (.f64 (/.f64 1 y) (.f64 (-.f64 4 (.f64 x z)) 1)))
(+.f64 (.f64 (/.f64 1 y) (-.f64 4 (.f64 x z))) (*.f64 (/.f64 1 y) x))
(+.f64 (.f64 (/.f64 1 y) 4) (.f64 (/.f64 1 y) (+.f64 x (neg.f64 (*.f64 x z)))))
(+.f64 (.f64 (/.f64 1 y) 4) (.f64 (/.f64 1 y) (-.f64 x (*.f64 x z))))
(+.f64 (.f64 (/.f64 1 y) (neg.f64 (.f64 x z))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 z y) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))) 1)
(.f64 (+.f64 4 (-.f64 x (.f64 x z))) (/.f64 1 y))
(.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y) 1)
(.f64 1 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y))
(.f64 (sqrt.f64 (+.f64 4 (-.f64 x (.f64 x z)))) (.f64 (sqrt.f64 (+.f64 4 (-.f64 x (.f64 x z)))) (/.f64 1 y)))
(.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y)) (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (.f64 x z)))) 2) (.f64 (cbrt.f64 (+.f64 4 (-.f64 x (.f64 x z)))) (/.f64 1 y)))
(.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y)) 2) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))
(.f64 (/.f64 1 y) (+.f64 4 (-.f64 x (.f64 x z))))
(.f64 (-.f64 -4 (-.f64 x (.f64 x z))) (/.f64 -1 y))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) (sqrt.f64 y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) (cbrt.f64 y)))
(.f64 (/.f64 -1 y) (-.f64 -4 (-.f64 x (.f64 x z))))
(.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (.f64 x z)))) 1) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y))
(.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (.f64 x z)))) y) (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (.f64 x z)))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (.f64 x z)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (.f64 x z)))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) (sqrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (.f64 x z)))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (.f64 x z)))) 2) y) (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))
(.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (.f64 x z)))) 2))) (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (.f64 x z) 2)) (/.f64 1 y)) (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (.f64 x z) 2))) (+.f64 4 (-.f64 x (*.f64 x z))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (.f64 x z) 2)) (/.f64 1 y)) (+.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (.f64 x z) 3))) (+.f64 (pow.f64 (+.f64 x 4) 2) (-.f64 (pow.f64 (.f64 x z) 2) (.f64 (+.f64 x 4) (*.f64 x z)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (.f64 x z) 3)) (/.f64 1 y)) (-.f64 (.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (+.f64 x 4) 2)) (.f64 (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z)))) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z))))))) (-.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z))))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (.f64 x z) 3)) (/.f64 1 y)) (+.f64 (pow.f64 (pow.f64 (+.f64 x 4) 2) 3) (pow.f64 (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z)))) 3))) (+.f64 (.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (+.f64 x 4) 2)) (-.f64 (.f64 (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z)))) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z))))) (.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z))))))))
(pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 3) 1/3)
(pow.f64 (/.f64 y (+.f64 4 (-.f64 x (*.f64 x z)))) -1)
(neg.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)))
(+.f64 x (-.f64 4 (*.f64 x z)))
(+.f64 x (.f64 (-.f64 4 (.f64 x z)) 1))
(+.f64 x (+.f64 4 (.f64 (neg.f64 (.f64 x z)) 1)))
(+.f64 x (+.f64 (-.f64 4 (.f64 x z)) (fma.f64 (neg.f64 z) x (.f64 x z))))
(+.f64 x (+.f64 (.f64 (-.f64 4 (.f64 x z)) 1) (fma.f64 (neg.f64 z) x (*.f64 x z))))
(+.f64 x (+.f64 (-.f64 4 (.f64 x z)) (fma.f64 (neg.f64 x) z (.f64 x z))))
(+.f64 x (+.f64 (.f64 (-.f64 4 (.f64 x z)) 1) (fma.f64 (neg.f64 x) z (*.f64 x z))))
(+.f64 x (+.f64 (-.f64 4 (.f64 x z)) (fma.f64 (neg.f64 (.f64 x z)) 1 (*.f64 x z))))
(+.f64 x (+.f64 (.f64 (-.f64 4 (.f64 x z)) 1) (fma.f64 (neg.f64 (.f64 x z)) 1 (.f64 x z))))
(+.f64 x (+.f64 (-.f64 4 (.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x z))) (sqrt.f64 (.f64 x z)) (.f64 x z))))
(+.f64 x (+.f64 (.f64 (-.f64 4 (.f64 x z)) 1) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x z))) (sqrt.f64 (.f64 x z)) (*.f64 x z))))
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(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 4 (.f64 x z)) (-.f64 4 (.f64 x z)))) (.f64 1 (+.f64 (+.f64 x -4) (.f64 x z))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (neg.f64 (.f64 x z)) (neg.f64 (.f64 x z)))) (-.f64 (+.f64 x 4) (neg.f64 (.f64 x z))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (neg.f64 (.f64 x z)) (neg.f64 (.f64 x z)))) (.f64 1 (-.f64 (+.f64 x 4) (neg.f64 (*.f64 x z)))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (+.f64 x 4) 3)) (.f64 (pow.f64 (.f64 x z) 3) (pow.f64 (.f64 x z) 3))) (.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z))))) (+.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (+.f64 x 4) 2)) (.f64 (pow.f64 (.f64 x z) 2) (pow.f64 (.f64 x z) 2))) (.f64 (+.f64 x (+.f64 4 (.f64 x z))) (+.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (*.f64 x z) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 4 (.f64 x z)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 4 (.f64 x z)) (-.f64 4 (.f64 x z))) (.f64 x (-.f64 4 (*.f64 x z))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 4 (.f64 x z)) 3)) (.f64 1 (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 4 (.f64 x z)) (-.f64 4 (.f64 x z))) (.f64 x (-.f64 4 (.f64 x z)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (neg.f64 (.f64 x z)) 3)) (+.f64 (pow.f64 (+.f64 x 4) 2) (-.f64 (.f64 (neg.f64 (.f64 x z)) (neg.f64 (.f64 x z))) (.f64 (+.f64 x 4) (neg.f64 (.f64 x z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (neg.f64 (.f64 x z)) 3)) (.f64 1 (+.f64 (pow.f64 (+.f64 x 4) 2) (-.f64 (.f64 (neg.f64 (.f64 x z)) (neg.f64 (.f64 x z))) (.f64 (+.f64 x 4) (neg.f64 (*.f64 x z)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 4) 3) 3) (pow.f64 (pow.f64 (.f64 x z) 3) 3)) (.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z))))) (+.f64 (.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (+.f64 x 4) 3)) (+.f64 (.f64 (pow.f64 (.f64 x z) 3) (pow.f64 (.f64 x z) 3)) (.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 4) 2) 3) (pow.f64 (pow.f64 (.f64 x z) 2) 3)) (.f64 (+.f64 x (+.f64 4 (.f64 x z))) (+.f64 (.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (+.f64 x 4) 2)) (+.f64 (.f64 (pow.f64 (.f64 x z) 2) (pow.f64 (.f64 x z) 2)) (.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (*.f64 x z) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (.f64 x z) 2)) 1) (+.f64 x (+.f64 4 (.f64 x z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (.f64 x z) 2)) (sqrt.f64 (+.f64 x (+.f64 4 (.f64 x z))))) (sqrt.f64 (+.f64 x (+.f64 4 (*.f64 x z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (.f64 x z) 2)) (.f64 (cbrt.f64 (+.f64 x (+.f64 4 (.f64 x z)))) (cbrt.f64 (+.f64 x (+.f64 4 (.f64 x z)))))) (cbrt.f64 (+.f64 x (+.f64 4 (*.f64 x z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (.f64 x z) 3)) 1) (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (.f64 x z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (.f64 x z) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z)))))))
(pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 1)
(pow.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 3)
(pow.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2))
(log.f64 (exp.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 4 (-.f64 x (*.f64 x z))))))
(cbrt.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 3))
(expm1.f64 (log.f64 (+.f64 5 (-.f64 x (*.f64 x z)))))
(exp.f64 (log.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))
(exp.f64 (.f64 (log.f64 (+.f64 4 (-.f64 x (.f64 x z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))
(fma.f64 1 x (-.f64 4 (*.f64 x z)))
(fma.f64 1 (+.f64 x 4) (neg.f64 (*.f64 x z)))
(fma.f64 (sqrt.f64 (+.f64 x 4)) (sqrt.f64 (+.f64 x 4)) (neg.f64 (*.f64 x z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 4 (*.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (cbrt.f64 (+.f64 x 4)) (neg.f64 (*.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 4 (*.f64 x z)))

Outputs
(/.f64 4 y)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(.f64 -1 (/.f64 (.f64 z x) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(.f64 -1 (/.f64 (.f64 z x) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
4
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 x (neg.f64 z) x)
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 x (-.f64 1 z))
(fma.f64 x (neg.f64 z) x)
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 4 x)
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(.f64 -1 (.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(.f64 -1 (.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(+.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y) (.f64 (/.f64 1 y) (fma.f64 (neg.f64 z) x (*.f64 x z))))
(+.f64 (/.f64 (-.f64 4 (-.f64 (.f64 z x) x)) y) (/.f64 (fma.f64 (neg.f64 z) x (.f64 z x)) y))
(+.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y) (/.f64 (.f64 0 (.f64 z x)) y))
(+.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y) (.f64 (/.f64 1 y) (fma.f64 (neg.f64 x) z (*.f64 x z))))
(+.f64 (/.f64 (-.f64 4 (-.f64 (.f64 z x) x)) y) (/.f64 (fma.f64 (neg.f64 z) x (.f64 z x)) y))
(+.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y) (/.f64 (.f64 0 (.f64 z x)) y))
(+.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y) (.f64 (/.f64 1 y) (fma.f64 (neg.f64 (.f64 x z)) 1 (.f64 x z))))
(+.f64 (/.f64 (-.f64 4 (-.f64 (.f64 z x) x)) y) (/.f64 (fma.f64 (neg.f64 z) x (.f64 z x)) y))
(+.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y) (/.f64 (.f64 0 (.f64 z x)) y))
(+.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y) (.f64 (/.f64 1 y) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x z))) (sqrt.f64 (.f64 x z)) (*.f64 x z))))
(+.f64 (/.f64 (-.f64 4 (-.f64 (.f64 z x) x)) y) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z x))) (sqrt.f64 (.f64 z x)) (.f64 z x)) y))
(.f64 (/.f64 1 y) (+.f64 (-.f64 x (fma.f64 z x -4)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 z x))) (sqrt.f64 (.f64 z x)) (.f64 z x))))
(+.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 x z))) y) (.f64 (/.f64 1 y) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x z))) (pow.f64 (cbrt.f64 (.f64 x z)) 2) (*.f64 x z))))
(+.f64 (/.f64 (-.f64 4 (-.f64 (.f64 z x) x)) y) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z x))) (pow.f64 (cbrt.f64 (.f64 z x)) 2) (.f64 z x)) y))
(.f64 (/.f64 1 y) (+.f64 (-.f64 x (fma.f64 z x -4)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z x))) (pow.f64 (cbrt.f64 (.f64 z x)) 2) (.f64 z x))))
(+.f64 (/.f64 (+.f64 x 4) y) (neg.f64 (*.f64 (/.f64 z y) x)))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 4 x) 2) 3) (pow.f64 (pow.f64 (.f64 z x) 2) 3)) (.f64 (+.f64 (+.f64 4 x) (.f64 z x)) (+.f64 (pow.f64 (+.f64 4 x) 4) (.f64 (pow.f64 (.f64 z x) 2) (+.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (.f64 z x) 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 6) (pow.f64 (.f64 z x) 6)) (.f64 (+.f64 x (fma.f64 z x 4)) (fma.f64 (pow.f64 (.f64 z x) 2) (+.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 (.f64 z x) 2)) (pow.f64 (+.f64 4 x) 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (.f64 x z) 2)) 1) (+.f64 x (+.f64 4 (.f64 x z))))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (.f64 x z) 2)) (sqrt.f64 (+.f64 x (+.f64 4 (.f64 x z))))) (sqrt.f64 (+.f64 x (+.f64 4 (*.f64 x z)))))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (.f64 x z) 2)) (.f64 (cbrt.f64 (+.f64 x (+.f64 4 (.f64 x z)))) (cbrt.f64 (+.f64 x (+.f64 4 (.f64 x z)))))) (cbrt.f64 (+.f64 x (+.f64 4 (*.f64 x z)))))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (.f64 x z) 3)) 1) (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (.f64 z x) 3)) (+.f64 (pow.f64 (+.f64 4 x) 2) (.f64 (.f64 z x) (+.f64 (+.f64 4 x) (.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 x (.f64 z (+.f64 x (fma.f64 z x 4))) (pow.f64 (+.f64 4 x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (.f64 x z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (.f64 z x) 3)) (+.f64 (pow.f64 (+.f64 4 x) 2) (.f64 (.f64 z x) (+.f64 (+.f64 4 x) (.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 x (.f64 z (+.f64 x (fma.f64 z x 4))) (pow.f64 (+.f64 4 x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (.f64 x z) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (.f64 x z)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 4) 2) (.f64 (.f64 x z) (+.f64 x (+.f64 4 (*.f64 x z)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (.f64 z x) 3)) (+.f64 (pow.f64 (+.f64 4 x) 2) (.f64 (.f64 z x) (+.f64 (+.f64 4 x) (.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 (.f64 z x) 3)) (fma.f64 x (.f64 z (+.f64 x (fma.f64 z x 4))) (pow.f64 (+.f64 4 x) 2)))
(pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 1)
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(pow.f64 (sqrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 2)
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(pow.f64 (cbrt.f64 (+.f64 4 (-.f64 x (*.f64 x z)))) 3)
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(pow.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 3) 1/3)
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(sqrt.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 2))
(sqrt.f64 (pow.f64 (-.f64 4 (-.f64 (*.f64 z x) x)) 2))
(fabs.f64 (-.f64 x (fma.f64 z x -4)))
(log.f64 (exp.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 4 (-.f64 x (*.f64 x z))))))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(cbrt.f64 (pow.f64 (+.f64 4 (-.f64 x (*.f64 x z))) 3))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(expm1.f64 (log.f64 (+.f64 5 (-.f64 x (*.f64 x z)))))
(expm1.f64 (log.f64 (-.f64 (+.f64 5 x) (*.f64 z x))))
(expm1.f64 (log.f64 (+.f64 (fma.f64 x (neg.f64 z) x) 5)))
(exp.f64 (log.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(exp.f64 (.f64 (log.f64 (+.f64 4 (-.f64 x (.f64 x z)))) 1))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(log1p.f64 (expm1.f64 (+.f64 4 (-.f64 x (*.f64 x z)))))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(fma.f64 1 x (-.f64 4 (*.f64 x z)))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(fma.f64 1 (+.f64 x 4) (neg.f64 (*.f64 x z)))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(fma.f64 (sqrt.f64 (+.f64 x 4)) (sqrt.f64 (+.f64 x 4)) (neg.f64 (*.f64 x z)))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 4 (*.f64 x z)))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (cbrt.f64 (+.f64 x 4)) (neg.f64 (*.f64 x z)))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 4 (*.f64 x z)))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(-.f64 x (fma.f64 z x -4))

localize5.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize38.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.7b	(*.f64 (/.f64 z y) x)

Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1570×	`add-sqr-sqrt`
1558×	`*-un-lft-identity`
1446×	`add-cube-cbrt`
1422×	`add-cbrt-cube`
1408×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	13
2	1914	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1548×	`distribute-rgt-in`
1534×	`distribute-lft-in`
954×	`associate-r`
816×	`associate-l`
506×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	754
1	142	754
2	551	754
3	3665	754

Stop Event

1×	node limit

Counts

58 → 24

Calls

Call 1

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

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

localize8.0ms (0.1%)

Compiler: Compiled 20 to 13 computations (35% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 z) x)
✓	2.9b	(/.f64 (*.f64 (-.f64 1 z) x) y)

Compiler

Compiled 30 to 18 computations (40% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(/.f64 (*.f64 (-.f64 1 z) x) y)
1.0ms	x	@	0	(/.f64 (*.f64 (-.f64 1 z) x) y)
1.0ms	y	@	0	(/.f64 (*.f64 (-.f64 1 z) x) y)
1.0ms	z	@	0	(/.f64 (*.f64 (-.f64 1 z) x) y)
0.0ms	y	@	inf	(/.f64 (*.f64 (-.f64 1 z) x) y)

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`associate-*r/`
1386×	`associate-/r*`
1248×	`associate-/l*`
1122×	`associate-*l/`
926×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	189	32
2	2566	32

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1436×	`distribute-rgt-in`
1422×	`distribute-lft-in`
1340×	`associate-/r*`
1164×	`associate-/r/`
538×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	3956
1	793	3806
2	3266	3524

Stop Event

1×	node limit

Counts

144 → 175

Calls

Call 1

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

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

eval205.0ms (2.4%)

Compiler: Compiled 11049 to 5706 computations (48.4% saved)

prune128.0ms (1.5%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	529	3	532
Fresh	2	2	4
Picked	0	1	1
Done	0	4	4
Total	531	10	541

Error

Counts

541 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.1b	(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
▶	29.8b	(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
✓	20.1b	(fabs.f64 (/.f64 (-.f64 -4 x) y))
✓	29.8b	(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
▶	45.0b	(fabs.f64 (/.f64 (*.f64 z x) y))
▶	43.9b	(fabs.f64 (/.f64 x (/.f64 y z)))
▶	46.9b	(fabs.f64 (/.f64 x y))
✓	34.5b	(fabs.f64 (/.f64 4 y))
✓	44.3b	(fabs.f64 (*.f64 (/.f64 z y) x))
▶	43.9b	(fabs.f64 (*.f64 (/.f64 x y) z))

Compiler

Compiled 139 to 96 computations (30.9% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 x z))
✓	2.9b	(/.f64 (-.f64 x (*.f64 x z)) y)

Compiler

Compiled 29 to 7 computations (75.9% saved)

series5.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite95.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`associate-/l*`
1334×	`associate-/r*`
1288×	`associate-*r/`
1000×	`*-commutative`
900×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	181	32
2	2706	32

Stop Event

1×	node limit

Counts

2 → 186

Calls

Call 1

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

Outputs

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

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1060×	`associate-+l+`
976×	`associate-+r+`
974×	`+-commutative`
604×	`fma-def`
574×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	9432
1	1276	8662
2	6431	8518

Stop Event

1×	node limit

Counts

246 → 281

Calls

Call 1

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

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

localize5.0ms (0.1%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	3.7b	(*.f64 (/.f64 x y) z)

Compiler

Compiled 20 to 6 computations (70% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.3b	(/.f64 x (/.f64 y z))

Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`add-sqr-sqrt`
1754×	`*-un-lft-identity`
1636×	`add-cube-cbrt`
1612×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	151	13
2	2155	13

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1482×	`associate-+r+`
1336×	`associate-+l+`
1168×	`associate-*r/`
772×	`associate-*l/`
636×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	117	1266
1	293	1248
2	1090	1248
3	4879	1248

Stop Event

1×	node limit

Counts

78 → 55

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(/.f64 (*.f64 z x) y)

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`add-sqr-sqrt`
1618×	`*-un-lft-identity`
1506×	`add-cube-cbrt`
1482×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	13
2	1972	13

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate-+r+`
1184×	`associate-+l+`
1116×	`associate-*r/`
714×	`associate-*l/`
712×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	772
1	277	724
2	1013	724
3	4757	724

Stop Event

1×	node limit

Counts

42 → 49

Calls

Call 1

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

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

eval117.0ms (1.4%)

Compiler: Compiled 8615 to 3060 computations (64.5% saved)

prune154.0ms (1.8%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	454	0	454
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	454	10	464

Error

Counts

464 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.1b	(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
✓	29.8b	(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
✓	20.1b	(fabs.f64 (/.f64 (-.f64 -4 x) y))
✓	29.8b	(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
✓	45.0b	(fabs.f64 (/.f64 (*.f64 z x) y))
✓	43.9b	(fabs.f64 (/.f64 x (/.f64 y z)))
✓	46.9b	(fabs.f64 (/.f64 x y))
✓	34.5b	(fabs.f64 (/.f64 4 y))
✓	44.3b	(fabs.f64 (*.f64 (/.f64 z y) x))
✓	43.9b	(fabs.f64 (*.f64 (/.f64 x y) z))

Compiler

Compiled 94 to 66 computations (29.8% saved)

regimes135.0ms (1.6%)

Counts

16 → 3

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 x (/.f64 y (neg.f64 z))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))

Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))

Calls

5 calls:

47.0ms	x
35.0ms	y
24.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
16.0ms	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
9.0ms	z

Results

Error	Segments	Branch
0.1b	3	`x`
0.8b	2	`y`
2.1b	1	`z`
0.1b	2	`(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))`
0.1b	3	`(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))`

Compiler

Compiled 167 to 95 computations (43.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.286435192132257e-98	1.2858408226918118e-86
0.0ms	-13447.140484806458	-240.75964459387293

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes80.0ms (0.9%)

Counts

15 → 3

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 x (/.f64 y (neg.f64 z))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))

Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))

Calls

5 calls:

21.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
21.0ms	x
16.0ms	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
10.0ms	y
8.0ms	z

Results

Error	Segments	Branch
0.1b	3	`x`
2.1b	1	`y`
2.1b	1	`z`
0.1b	2	`(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))`
0.1b	3	`(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))`

Compiler

Compiled 156 to 90 computations (42.3% saved)

bsearch41.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	2.389483991427216e+152	1.885148842945978e+158
17.0ms	-7.515154179322404e-13	-1.215552663505785e-17

Results

31.0ms	272×	body	256	valid
6.0ms	60×	body	256	infinite

Compiler

Compiled 531 to 372 computations (29.9% saved)

regimes107.0ms (1.2%)

Counts

13 → 3

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 x (/.f64 y (neg.f64 z))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))

Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))

Calls

5 calls:

54.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
21.0ms	x
14.0ms	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
8.0ms	y
7.0ms	z

Results

Error	Segments	Branch
0.1b	3	`x`
2.1b	1	`y`
2.1b	1	`z`
0.1b	2	`(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))`
0.1b	3	`(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))`

Compiler

Compiled 135 to 79 computations (41.5% saved)

bsearch58.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	1.885148842945978e+158	8.613378014710513e+160
15.0ms	-7.515154179322404e-13	-1.215552663505785e-17

Results

49.0ms	256×	body	256	valid
6.0ms	55×	body	256	infinite

Compiler

Compiled 469 to 335 computations (28.6% saved)

regimes37.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 x (/.f64 y (neg.f64 z))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))

Outputs
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))

Calls

3 calls:

18.0ms	x
7.0ms	y
6.0ms	z

Results

Error	Segments	Branch
0.1b	3	`x`
3.1b	1	`y`
3.1b	1	`z`

Compiler

Compiled 94 to 55 computations (41.5% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.885148842945978e+158	8.613378014710513e+160
18.0ms	-1.151389154093583e+55	-8.701059905335512e+51

Results

28.0ms	256×	body	256	valid
7.0ms	62×	body	256	infinite

Compiler

Compiled 437 to 319 computations (27% saved)

regimes153.0ms (1.8%)

Counts

11 → 5

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 x (/.f64 y (neg.f64 z))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))

Outputs
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))

Calls

3 calls:

62.0ms	x
52.0ms	y
37.0ms	z

Results

Error	Segments	Branch
7.5b	5	`x`
13.0b	9	`y`
9.8b	6	`z`

Compiler

Compiled 84 to 50 computations (40.5% saved)

bsearch91.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	0.20829493613604885	6.63195531108902
50.0ms	1.3780283240021238e-77	1.1834563466446898e-72
14.0ms	4.416039469003596e-93	4.0304146803584155e-91
12.0ms	-6.750029820941197e-29	-4.554292205739594e-30

Results

49.0ms	464×	body	256	valid
3.0ms	20×	body	256	infinite

Compiler

Compiled 601 to 463 computations (23% saved)

regimes356.0ms (4.1%)

Counts

9 → 5

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 x (/.f64 y (neg.f64 z))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))

Outputs
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))

Calls

3 calls:

264.0ms	x
52.0ms	y
37.0ms	z

Results

Error	Segments	Branch
10.2b	5	`x`
13.8b	9	`y`
10.1b	5	`z`

Compiler

Compiled 68 to 41 computations (39.7% saved)

bsearch76.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	2.3247699009012253e+104	2.4500936879463568e+112
19.0ms	4.8213436889117405e+32	6.5902139158147936e+35
19.0ms	54.534807820166485	1219.6846518503098
15.0ms	-280460579892480220.0	-563025990366240.6

Results

64.0ms	512×	body	256	valid
6.0ms	16×	body	256	infinite

Compiler

Compiled 691 to 525 computations (24% saved)

regimes80.0ms (0.9%)

Counts

8 → 3

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 x (/.f64 y (neg.f64 z))))

Outputs
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))

Calls

3 calls:

35.0ms	x
23.0ms	y
21.0ms	z

Results

Error	Segments	Branch
16.0b	6	`x`
18.8b	3	`y`
11.1b	3	`z`

Compiler

Compiled 60 to 36 computations (40% saved)

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	2.3247699009012253e+104	2.4500936879463568e+112
23.0ms	-280460579892480220.0	-563025990366240.6

Results

38.0ms	272×	body	256	valid
1.0ms	13×	body	256	infinite

Compiler

Compiled 361 to 270 computations (25.2% saved)

regimes119.0ms (1.4%)

Counts

6 → 7

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 (*.f64 z x) y))

Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 x (/.f64 y z)))

Calls

3 calls:

53.0ms	y
34.0ms	z
30.0ms	x

Results

Error	Segments	Branch
16.2b	7	`x`
26.9b	9	`y`
21.6b	7	`z`

Compiler

Compiled 47 to 28 computations (40.4% saved)

bsearch98.0ms (1.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
23.0ms	1.39007122746621e+267	1.9416032635453696e+270
21.0ms	0.20829493613604885	6.63195531108902
18.0ms	1.3780283240021238e-77	1.1834563466446898e-72
15.0ms	4.416039469003596e-93	4.0304146803584155e-91
11.0ms	-6.750029820941197e-29	-4.554292205739594e-30
10.0ms	-8.701059905335512e+51	-5.4785921616840996e+51

Results

79.0ms	656×	body	256	valid
11.0ms	90×	body	256	infinite

Compiler

Compiled 745 to 570 computations (23.5% saved)

regimes107.0ms (1.2%)

Counts

5 → 7

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))

Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 x (/.f64 y z)))

Calls

3 calls:

40.0ms	y
38.0ms	z
28.0ms	x

Results

Error	Segments	Branch
16.4b	7	`x`
26.9b	9	`y`
21.6b	7	`z`

Compiler

Compiled 41 to 25 computations (39% saved)

bsearch95.0ms (1.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	1.39007122746621e+267	1.9416032635453696e+270
15.0ms	0.20829493613604885	6.63195531108902
18.0ms	1.3780283240021238e-77	1.1834563466446898e-72
15.0ms	4.416039469003596e-93	4.0304146803584155e-91
11.0ms	-6.750029820941197e-29	-4.554292205739594e-30
11.0ms	-8.701059905335512e+51	-5.4785921616840996e+51

Results

76.0ms	656×	body	256	valid
11.0ms	109×	body	256	infinite

Compiler

Compiled 745 to 570 computations (23.5% saved)

regimes152.0ms (1.8%)

Counts

4 → 7

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))

Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))

Calls

3 calls:

63.0ms	y
61.0ms	x
28.0ms	z

Results

Error	Segments	Branch
16.4b	7	`x`
26.9b	9	`y`
22.0b	7	`z`

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch146.0ms (1.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
26.0ms	1.39007122746621e+267	1.9416032635453696e+270
15.0ms	0.20829493613604885	6.63195531108902
32.0ms	1.3780283240021238e-77	1.1834563466446898e-72
13.0ms	4.416039469003596e-93	4.0304146803584155e-91
50.0ms	-6.750029820941197e-29	-4.554292205739594e-30
9.0ms	-8.701059905335512e+51	-5.4785921616840996e+51

Results

124.0ms	656×	body	256	valid
14.0ms	134×	body	256	infinite

Compiler

Compiled 745 to 570 computations (23.5% saved)

regimes68.0ms (0.8%)

Counts

3 → 5

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))

Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 x y) z))

Calls

3 calls:

26.0ms	z
25.0ms	y
16.0ms	x

Results

Error	Segments	Branch
17.6b	5	`x`
28.5b	8	`y`
22.0b	7	`z`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch63.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	1.39007122746621e+267	1.9416032635453696e+270
16.0ms	0.20829493613604885	6.63195531108902
14.0ms	-6.750029820941197e-29	-4.554292205739594e-30
9.0ms	-8.701059905335512e+51	-5.4785921616840996e+51

Results

47.0ms	400×	body	256	valid
11.0ms	107×	body	256	infinite

Compiler

Compiled 457 to 346 computations (24.3% saved)

regimes39.0ms (0.5%)

Accuracy

Total -40.2b remaining (-195.1%)

Threshold costs -40.2b (-195.1%)

Counts

2 → 3

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))

Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))

Calls

3 calls:

17.0ms	z
10.0ms	x
10.0ms	y

Results

Error	Segments	Branch
20.6b	3	`x`
33.5b	3	`y`
30.7b	5	`z`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.20829493613604885	6.63195531108902
13.0ms	-97.60028156238916	-1.6590363564967716

Results

26.0ms	224×	body	256	valid
2.0ms	15×	body	256	infinite

Compiler

Compiled 245 to 197 computations (19.6% saved)

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

44×	`+-commutative`
36×	`sub-neg`
34×	`*-commutative`
24×	`fabs-div`
18×	`fabs-mul`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	1409
1	215	1409
2	261	1409
3	284	1409
4	300	1409
5	312	1409
6	317	1409
7	319	1409

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)) -10000) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)) 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -5347900969712843/19807040628566084398385987584) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z))) (if (<=.f64 x 309999999999999998056647797081424021098948147733423764803288574928020366331336456216168547894717135402488417608214172270769648857138583858392654747271168) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))))
(if (<=.f64 x -6734393813712469/9903520314283042199192993792) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z))) (if (<=.f64 x 849999999999999978233846768043060548729838821965127529767918038050745931098622000391375973676104521991710708160355194092983112687818249745105899441514757488640) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))))
(if (<=.f64 x -81999999999999999444117791297653494069860092239413248) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 189999999999999992265370389404485380578584165173485946223308386203097665058849182784752663582962315834630460626016922834178825261278286252354576346404507090944) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))))
(if (<=.f64 x -1248841731117715/89202980794122492566142873090593446023921664) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 2018278782071263/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 495407149444547/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 x 4278419646001971/1125899906842624) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))))))
(if (<=.f64 z -235000000000000000) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 z 970) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z 3200000000000000171717190540591104) (fabs.f64 (/.f64 (.f64 (-.f64 1 z) x) y)) (if (<=.f64 z 36000000000000000832852794211880356854441517735063722795801574150303749659896263722497488635145756465954816) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (.f64 (/.f64 x y) z))))))
(if (<=.f64 z -195000000000000000) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 z 2299999999999999781605242785605322407685449622934205260647092526366795032341312490575388472133862505316352) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 (/.f64 x y) z))))
(if (<=.f64 x -6999999999999999952546640720531395835231959093608448) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -2899096875808981/44601490397061246283071436545296723011960832) (fabs.f64 (/.f64 (.f64 z x) y)) (if (<=.f64 x 7339195571168229/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 3650368469591399/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (fabs.f64 (.f64 (/.f64 z y) x)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 51999999999999998618787692416331819905630965178386835030873054783331590129271122148090309032797171828787756716395808077888622878369203640932954186444075044088902375899884333567850043174201605119421740143192236218290306633765312434611261881263724501658020590387384549376) (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x (/.f64 y z)))))))))
(if (<=.f64 x -6200000000000000223815480938025268034824004396122112) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -5887396732412085/356811923176489970264571492362373784095686656) (fabs.f64 (.f64 (/.f64 x y) z)) (if (<=.f64 x 7339195571168229/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 3650368469591399/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (fabs.f64 (.f64 (/.f64 z y) x)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 7999999999999999787505798833281818447020148488982590004749700735897167712195557253552355235814949512121193340983970473521326596672185175528146797914473083705984980907674512856592314334492554633757190791260344033583124097502355759170963366348265307947387783136520699904) (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x (/.f64 y z)))))))))
(if (<=.f64 x -5799999999999999694835903154314267682716496907206656) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -8563486156235759/713623846352979940529142984724747568191373312) (fabs.f64 (.f64 (/.f64 x y) z)) (if (<=.f64 x 7339195571168229/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 4430553248527507/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (fabs.f64 (.f64 (/.f64 z y) x)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 189999999999999991287483020725648153951124183102957185800422778439714209396138922876052244165433318516681955822816866691173489490932433749270688273563343520360179963237003488918419554022859023461582719823123887438234076262017557603391269089108890360984535099863656824832) (fabs.f64 (/.f64 x y)) (fabs.f64 (*.f64 (/.f64 x y) z))))))))
(if (<=.f64 x -6999999999999999952546640720531395835231959093608448) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -2899096875808981/44601490397061246283071436545296723011960832) (fabs.f64 (.f64 (/.f64 x y) z)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 800000000000000037403055108364902391351684345064328229473091898195213151515644715688294606544242669551261510507235960231460934547729944265179450621933583853109911423891710348469598016190681848818128062634982937108154346608849842747802110421425102038993574307711426756608) (fabs.f64 (/.f64 x y)) (fabs.f64 (.f64 (/.f64 x y) z))))))
(if (<=.f64 x -21/2) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 x y))))
(fabs.f64 (/.f64 4 y))

Outputs
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)) -10000) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)) 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)) -10000) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)) 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) (fabs.f64 (-.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)) -10000) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)) 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) (fabs.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (-.f64 -4 x) y)))))
(if (<=.f64 x -5347900969712843/19807040628566084398385987584) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z))) (if (<=.f64 x 309999999999999998056647797081424021098948147733423764803288574928020366331336456216168547894717135402488417608214172270769648857138583858392654747271168) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))))
(if (<=.f64 x -5347900969712843/19807040628566084398385987584) (fabs.f64 (-.f64 (.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))) (if (<=.f64 x 309999999999999998056647797081424021098948147733423764803288574928020366331336456216168547894717135402488417608214172270769648857138583858392654747271168) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))))
(if (<=.f64 x -5347900969712843/19807040628566084398385987584) (fabs.f64 (+.f64 (.f64 (/.f64 x y) z) (/.f64 (-.f64 -4 x) y))) (if (<=.f64 x 309999999999999998056647797081424021098948147733423764803288574928020366331336456216168547894717135402488417608214172270769648857138583858392654747271168) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))))
(if (<=.f64 x -6734393813712469/9903520314283042199192993792) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z))) (if (<=.f64 x 849999999999999978233846768043060548729838821965127529767918038050745931098622000391375973676104521991710708160355194092983112687818249745105899441514757488640) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))))
(if (<=.f64 x -6734393813712469/9903520314283042199192993792) (fabs.f64 (-.f64 (.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))) (if (<=.f64 x 849999999999999978233846768043060548729838821965127529767918038050745931098622000391375973676104521991710708160355194092983112687818249745105899441514757488640) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))))
(if (<=.f64 x -6734393813712469/9903520314283042199192993792) (fabs.f64 (+.f64 (.f64 (/.f64 x y) z) (/.f64 (-.f64 -4 x) y))) (if (<=.f64 x 849999999999999978233846768043060548729838821965127529767918038050745931098622000391375973676104521991710708160355194092983112687818249745105899441514757488640) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))))
(if (<=.f64 x -81999999999999999444117791297653494069860092239413248) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 189999999999999992265370389404485380578584165173485946223308386203097665058849182784752663582962315834630460626016922834178825261278286252354576346404507090944) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))))
(if (or (<=.f64 x -81999999999999999444117791297653494069860092239413248) (not (<=.f64 x 189999999999999992265370389404485380578584165173485946223308386203097665058849182784752663582962315834630460626016922834178825261278286252354576346404507090944))) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))
(if (<=.f64 x -1248841731117715/89202980794122492566142873090593446023921664) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 2018278782071263/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 495407149444547/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 x 4278419646001971/1125899906842624) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))))))
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(if (<=.f64 x -21/2) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 x y))))
(if (or (<=.f64 x -21/2) (not (<=.f64 x 4))) (fabs.f64 (/.f64 x y)) (/.f64 4 (fabs.f64 y)))
(fabs.f64 (/.f64 4 y))
(/.f64 4 (fabs.f64 y))

Compiler

Compiled 566 to 350 computations (38.2% saved)

soundness778.0ms (9%)

Algorithm

2×	egg-herbie

Rules

1172×	`fma-def`
1172×	`fma-def`
780×	`associate-+r+`
780×	`associate-+r+`
684×	`associate-+l+`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	24	35
2	48	35
3	88	35
4	140	31
5	283	31
6	511	31
7	982	31
8	2079	25
9	4005	25
10	4865	25
11	5761	25
12	6034	25
13	6034	25
0	13	35
1	24	35
2	48	35
3	88	35
4	140	31
5	283	31
6	511	31
7	982	31
8	2079	25
9	4005	25
10	4865	25
11	5761	25
12	6034	25
13	6034	25

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 337 to 175 computations (48.1% saved)

end157.0ms (1.8%)

Compiler: Compiled 530 to 257 computations (51.5% saved)