Details

analyze163.0ms (4.4%)

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
26.2%	25%	70.2%	0.1%	4.7%	0%	0%	9
39.7%	37.4%	56.9%	0.1%	5.5%	0%	0%	10
47.1%	44.5%	49.9%	0.1%	5.5%	0%	0%	11
54.9%	50.3%	41.3%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.2s (31.3%)

Results

1.1s	8256×	body	256	valid
35.0ms	425×	body	256	infinite

Bogosity

preprocess64.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

538×	`fma-def`
524×	`associate-r`
426×	`associate-+l+`
354×	`associate-+r+`
326×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	38	76
2	73	76
3	102	76
4	189	76
5	352	76
6	707	76
7	1873	76
8	2677	76
9	2725	76
10	2728	76
11	2728	76
12	2728	76
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

Inputs
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 (.f64 y 3) x) z)
(-.f64 (.f64 (.f64 z 3) y) x)
(-.f64 (.f64 (.f64 x 3) z) y)

Outputs
(-.f64 (.f64 (.f64 x 3) y) z)
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(-.f64 (.f64 3 (.f64 x y)) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 3 (*.f64 x y) (neg.f64 z))
(-.f64 (.f64 (.f64 y 3) x) z)
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(-.f64 (.f64 3 (.f64 x y)) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 3 (*.f64 x y) (neg.f64 z))
(-.f64 (.f64 (.f64 z 3) y) x)
(fma.f64 (*.f64 3 z) y (neg.f64 x))
(-.f64 (.f64 (.f64 y z) 3) x)
(fma.f64 3 (*.f64 y z) (neg.f64 x))
(-.f64 (.f64 y (.f64 3 z)) x)
(-.f64 (.f64 (.f64 x 3) z) y)
(-.f64 (.f64 3 (.f64 x z)) y)
(-.f64 (.f64 x (.f64 3 z)) y)

Symmetry

(sort x y)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

358×	`fma-def`
180×	`associate-r`
154×	`associate-+r+`
120×	`associate--r+`
104×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	18	19
2	31	19
3	43	19
4	77	19
5	140	19
6	250	19
7	530	19
8	886	19
9	977	19
10	1002	19
11	1004	19

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x 3) y) z)

Outputs
(-.f64 (.f64 (.f64 x 3) y) z)
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)

eval1.0ms (0%)

Compiler: Compiled 31 to 18 computations (41.9% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	4	5

Error

0.0b

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(fma.f64 (*.f64 x 3) y (neg.f64 z))
▶	0.4b	(-.f64 (.f64 (.f64 x 3) y) z)
▶	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)

Compiler

Compiled 30 to 21 computations (30% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x (.f64 3 y)) z)
✓	0.2b	(.f64 x (.f64 3 y))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series4.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 x (.f64 3 y))
1.0ms	x	@	inf	(.f64 x (.f64 3 y))
1.0ms	x	@	0	(.f64 x (.f64 3 y))
0.0ms	y	@	inf	(.f64 x (.f64 3 y))
0.0ms	z	@	0	(-.f64 (.f64 x (.f64 3 y)) z)

rewrite85.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`*-commutative`
736×	`unswap-sqr`
580×	`swap-sqr`
386×	`associate-*r/`
364×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	193	32
2	2473	32

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

Inputs
(.f64 x (.f64 3 y))
(-.f64 (.f64 x (.f64 3 y)) z)

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

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

simplify144.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1188×	`associate-+l-`
1172×	`+-commutative`
1070×	`associate--r+`
992×	`associate-+r-`
678×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	398	9630
1	1132	9220
2	5511	9180

Stop Event

1×	node limit

Counts

204 → 243

Calls

Call 1

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

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

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.5b	(.f64 (.f64 x 3) y)

Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x 3) y)
0.0ms	x	@	inf	(.f64 (.f64 x 3) y)
0.0ms	x	@	-inf	(.f64 (.f64 x 3) y)
0.0ms	z	@	0	(-.f64 (.f64 (.f64 x 3) y) z)
0.0ms	x	@	inf	(-.f64 (.f64 (.f64 x 3) y) z)

rewrite82.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`*-commutative`
736×	`unswap-sqr`
580×	`swap-sqr`
386×	`associate-*r/`
364×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	193	32
2	2471	32

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

Inputs
(.f64 (.f64 x 3) y)
(-.f64 (.f64 (.f64 x 3) y) z)

Outputs
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Outputs

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simplify144.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1060×	`+-commutative`
1048×	`associate-+l-`
858×	`associate--r+`
826×	`associate-+r-`
698×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	9962
1	1101	9428
2	5220	9384

Stop Event

1×	node limit

Counts

204 → 243

Calls

Call 1

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

Outputs
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 3 y)))) -1)
(.f64 3 (.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 3 y)))) 1)
(.f64 3 (.f64 y x))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 3 y)))) (exp.f64 (log1p.f64 (.f64 x (.f64 3 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (*.f64 3 y)))) 1))
(/.f64 (.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 y x)))) 1) (.f64 3 (.f64 y x))) (+.f64 (exp.f64 (log1p.f64 (.f64 3 (*.f64 y x)))) 1))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 3 (.f64 y x))))) (+.f64 (exp.f64 (log1p.f64 (.f64 3 (*.f64 y x)))) 1))
(pow.f64 (.f64 x (.f64 3 y)) 1)
(.f64 3 (.f64 y x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
(.f64 3 (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
(.f64 3 (.f64 y x))
(pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) 1/3)
(.f64 3 (.f64 y x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))
(sqrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))
(fabs.f64 (.f64 3 (.f64 y x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) y))
(*.f64 y (log.f64 (pow.f64 (exp.f64 x) 3)))
(.f64 y (.f64 3 (log.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 3 y)))))
(.f64 3 (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
(.f64 3 (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(exp.f64 (log.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(+.f64 (.f64 x (.f64 3 y)) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(+.f64 (.f64 x (.f64 3 y)) (+.f64 (neg.f64 z) (fma.f64 (neg.f64 z) 1 z)))
(+.f64 (neg.f64 z) (fma.f64 x (*.f64 3 y) (fma.f64 (neg.f64 z) 1 z)))
(-.f64 (+.f64 (neg.f64 z) (fma.f64 3 (*.f64 y x) z)) z)
(-.f64 (-.f64 (fma.f64 3 (*.f64 y x) z) z) z)
(+.f64 (.f64 x (.f64 3 y)) (+.f64 (neg.f64 z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)))
(+.f64 (neg.f64 z) (fma.f64 x (*.f64 3 y) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)))
(-.f64 (fma.f64 3 (*.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)) z)
(+.f64 (.f64 x (.f64 3 y)) (+.f64 (neg.f64 z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) (fma.f64 3 (*.f64 y x) (neg.f64 z)))
(-.f64 (fma.f64 3 (*.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)) z)
(+.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z)) (fma.f64 (neg.f64 z) 1 z))
(+.f64 (neg.f64 z) (fma.f64 x (*.f64 3 y) (fma.f64 (neg.f64 z) 1 z)))
(-.f64 (+.f64 (neg.f64 z) (fma.f64 3 (*.f64 y x) z)) z)
(-.f64 (-.f64 (fma.f64 3 (*.f64 y x) z) z) z)
(+.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (neg.f64 z) (fma.f64 x (*.f64 3 y) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)))
(-.f64 (fma.f64 3 (*.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)) z)
(+.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) (fma.f64 3 (*.f64 y x) (neg.f64 z)))
(-.f64 (fma.f64 3 (*.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)) z)
(+.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z)) (+.f64 (fma.f64 (neg.f64 z) 1 z) (fma.f64 (neg.f64 z) 1 z)))
(+.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) (.f64 2 (fma.f64 (neg.f64 z) 1 z)))
(fma.f64 2 (+.f64 z (neg.f64 z)) (fma.f64 3 (*.f64 y x) (neg.f64 z)))
(+.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) (fma.f64 (neg.f64 z) 1 z)))
(+.f64 (+.f64 (neg.f64 z) (fma.f64 x (*.f64 3 y) (fma.f64 (neg.f64 z) 1 z))) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (-.f64 (+.f64 z (neg.f64 z)) z) (fma.f64 3 (*.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) (-.f64 (-.f64 (fma.f64 3 (*.f64 y x) z) z) z))
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(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 x 3) y (neg.f64 z)) 3) (pow.f64 (fma.f64 (neg.f64 z) 1 z) 3)) (+.f64 (pow.f64 (fma.f64 (.f64 x 3) y (neg.f64 z)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 z) 1 z) (fma.f64 (neg.f64 z) 1 z)) (.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z)) (fma.f64 (neg.f64 z) 1 z)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 3) (pow.f64 (fma.f64 (neg.f64 z) 1 z) 3)) (+.f64 (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 2) (.f64 (fma.f64 (neg.f64 z) 1 z) (-.f64 (fma.f64 (neg.f64 z) 1 z) (fma.f64 3 (.f64 y x) (neg.f64 z))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 3) (pow.f64 (+.f64 z (neg.f64 z)) 3)) (fma.f64 (+.f64 z (neg.f64 z)) (-.f64 (+.f64 z (neg.f64 z)) (fma.f64 3 (.f64 y x) (neg.f64 z))) (pow.f64 (fma.f64 3 (*.f64 y x) (neg.f64 z)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 3) (pow.f64 (+.f64 z (neg.f64 z)) 3)) (fma.f64 (+.f64 z (neg.f64 z)) (+.f64 z (+.f64 z (-.f64 (.f64 (.f64 y x) -3) z))) (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 x 3) y (neg.f64 z)) 3) (pow.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) 3)) (+.f64 (pow.f64 (fma.f64 (.f64 x 3) y (neg.f64 z)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)) (.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 3) (pow.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) 3)) (+.f64 (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 2) (.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) (fma.f64 3 (.f64 y x) (neg.f64 z))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 3) (pow.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) 3)) (fma.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) (+.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) (.f64 3 (.f64 y x))) z) (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 3) (pow.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) 3)) (fma.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) (+.f64 z (-.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) (.f64 3 (.f64 y x)))) (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 x 3) y (neg.f64 z)) 3) (pow.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) 3)) (+.f64 (pow.f64 (fma.f64 (.f64 x 3) y (neg.f64 z)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)) (.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 3) (pow.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) 3)) (+.f64 (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 2) (.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) (fma.f64 3 (.f64 y x) (neg.f64 z))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 3) (pow.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) 3)) (fma.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) (+.f64 (-.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) (.f64 3 (.f64 y x))) z) (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 3) (pow.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) 3)) (fma.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) (+.f64 z (-.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) (.f64 3 (.f64 y x)))) (pow.f64 (fma.f64 3 (.f64 y x) (neg.f64 z)) 2)))
(pow.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z)) 1)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z))) 2)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z))) 3)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(pow.f64 (pow.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z)) 3) 1/3)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z)) (neg.f64 (fma.f64 (.f64 x 3) y z))))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 3 (.f64 y x)) 2)) (neg.f64 (fma.f64 (.f64 3 x) y z)))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 3 (.f64 y x)) 2)) (-.f64 (.f64 (*.f64 y x) -3) z))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (pow.f64 z 3)) (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z (fma.f64 (.f64 x 3) y z))))))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (.f64 3 x) y z))))
(/.f64 (-.f64 (.f64 27 (pow.f64 (.f64 y x) 3)) (pow.f64 z 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 3 (*.f64 y x)) 2)))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z)) 2))
(sqrt.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (neg.f64 z)) 2))
(fabs.f64 (fma.f64 3 (*.f64 y x) (neg.f64 z)))
(log.f64 (exp.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z))))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z)))))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z)) 3))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z))))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(exp.f64 (log.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z))))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x 3) y (neg.f64 z))))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 x 3) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 1 (.f64 x (.f64 3 y)) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (sqrt.f64 (.f64 x (.f64 3 y))) (sqrt.f64 (.f64 x (.f64 3 y))) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) (cbrt.f64 (.f64 x (.f64 3 y))) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(fma.f64 (*.f64 x 3) y (neg.f64 z))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 (*.f64 x 3) y (neg.f64 z))
0.0ms	y	@	-inf	(fma.f64 (*.f64 x 3) y (neg.f64 z))
0.0ms	x	@	-inf	(fma.f64 (*.f64 x 3) y (neg.f64 z))
0.0ms	x	@	inf	(fma.f64 (*.f64 x 3) y (neg.f64 z))
0.0ms	y	@	inf	(fma.f64 (*.f64 x 3) y (neg.f64 z))

rewrite88.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`add-sqr-sqrt`
1864×	`*-un-lft-identity`
1724×	`add-cube-cbrt`
1704×	`add-cbrt-cube`
216×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	219	15
2	2576	15

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(fma.f64 (*.f64 x 3) y (neg.f64 z))

Outputs

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

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1620×	`associate-/l*`
818×	`*-commutative`
808×	`associate-/r*`
588×	`distribute-lft-in`
574×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	1063
1	170	1057
2	1025	1047
3	5457	1047

Stop Event

1×	node limit

Counts

61 → 40

Calls

Call 1

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

Outputs
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 z (.f64 x (.f64 3 y)))
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 (.f64 x (*.f64 3 y)) 1) z)
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x 3) y z))) 1)
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(-.f64 (+.f64 (.f64 x (.f64 3 y)) 0) z)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 (fma.f64 (.f64 x 3) y z) 1)
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 1 (fma.f64 (.f64 x 3) y z))
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 (sqrt.f64 (fma.f64 (.f64 x 3) y z)) (sqrt.f64 (fma.f64 (*.f64 x 3) y z)))
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 (cbrt.f64 (fma.f64 (.f64 x 3) y z)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x 3) y z)) 2))
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x 3) y z)) 2) (cbrt.f64 (fma.f64 (*.f64 x 3) y z)))
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(/.f64 (-.f64 (.f64 (.f64 x (.f64 3 y)) (.f64 x (.f64 3 y))) (.f64 z z)) (fma.f64 (*.f64 x 3) y z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (pow.f64 z 3)) (+.f64 (.f64 (.f64 x (.f64 3 y)) (.f64 x (.f64 3 y))) (-.f64 (.f64 z z) (.f64 (.f64 x (*.f64 3 y)) z))))
(/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) (fma.f64 (.f64 3 (.f64 y x)) (.f64 3 (.f64 y x)) (.f64 z (-.f64 z (.f64 3 (*.f64 y x))))))
(/.f64 (+.f64 (.f64 27 (pow.f64 (.f64 y x) 3)) (pow.f64 z 3)) (fma.f64 z (+.f64 z (.f64 (.f64 y x) -3)) (.f64 (.f64 x x) (.f64 9 (.f64 y y)))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 y (.f64 3 x)) (-.f64 (.f64 y (.f64 3 x)) z))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 y (.f64 x -3)) (+.f64 z (.f64 y (.f64 x -3))))))
(pow.f64 (fma.f64 (*.f64 x 3) y z) 1)
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x 3) y z)) 2)
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x 3) y z)) 3)
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x 3) y z) 3) 1/3)
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x 3) y z) 2))
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(log.f64 (exp.f64 (fma.f64 (*.f64 x 3) y z)))
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x 3) y z))))
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x 3) y z) 3))
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x 3) y z)))
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(exp.f64 (log.f64 (fma.f64 (*.f64 x 3) y z)))
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x 3) y z)) 1))
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x 3) y z)))
(fma.f64 (*.f64 3 x) y z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)

eval274.0ms (7.4%)

Compiler: Compiled 14341 to 8216 computations (42.7% saved)

prune267.0ms (7.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	521	5	526
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	522	7	529

Error

Counts

529 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fma.f64 3 (*.f64 y x) (neg.f64 z))
▶	36.1b	(fma.f64 3 (*.f64 y x) z)
✓	0.4b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)
▶	35.5b	(.f64 y (.f64 3 x))
▶	35.3b	(.f64 3 (.f64 y x))
▶	28.2b	(neg.f64 z)

Compiler

Compiled 100 to 72 computations (28% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 3 (*.f64 y x) (neg.f64 z))

Compiler

Compiled 19 to 8 computations (57.9% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(fma.f64 3 (*.f64 y x) (neg.f64 z))
0.0ms	y	@	-inf	(fma.f64 3 (*.f64 y x) (neg.f64 z))
0.0ms	y	@	0	(fma.f64 3 (*.f64 y x) (neg.f64 z))
0.0ms	y	@	inf	(fma.f64 3 (*.f64 y x) (neg.f64 z))
0.0ms	x	@	inf	(fma.f64 3 (*.f64 y x) (neg.f64 z))

rewrite74.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1882×	`add-sqr-sqrt`
1866×	`*-un-lft-identity`
1726×	`add-cube-cbrt`
1704×	`add-cbrt-cube`
216×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	219	15
2	2582	15

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(fma.f64 3 (*.f64 y x) (neg.f64 z))

Outputs

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

simplify70.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1396×	`associate-/l*`
794×	`associate-/r*`
762×	`*-commutative`
576×	`distribute-lft-in`
526×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	1061
1	163	1053
2	968	1047
3	5126	1047
4	7630	1047

Stop Event

1×	node limit

Counts

61 → 37

Calls

Call 1

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

Outputs
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(+.f64 z (.f64 3 (.f64 y x)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 (.f64 3 (*.f64 y x)) 1) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3 (*.f64 y x) z))) 1)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(-.f64 (+.f64 (.f64 3 (.f64 y x)) 0) z)
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(.f64 (fma.f64 3 (.f64 y x) z) 1)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 1 (fma.f64 3 (.f64 y x) z))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 (sqrt.f64 (fma.f64 3 (.f64 y x) z)) (sqrt.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 (cbrt.f64 (fma.f64 3 (.f64 y x) z)) (pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) z)) 2))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (.f64 y x) z)) 2) (cbrt.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(/.f64 (-.f64 (.f64 (.f64 3 (.f64 y x)) (.f64 3 (.f64 y x))) (.f64 z z)) (fma.f64 3 (*.f64 y x) z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) (+.f64 (.f64 (.f64 3 (.f64 y x)) (.f64 3 (.f64 y x))) (-.f64 (.f64 z z) (.f64 (.f64 3 (*.f64 y x)) z))))
(/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) (+.f64 (.f64 9 (.f64 (.f64 y x) (.f64 y x))) (.f64 z (-.f64 z (.f64 3 (*.f64 y x))))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 (.f64 (.f64 y x) 9) (.f64 y x) (.f64 z (+.f64 z (.f64 (*.f64 y x) -3)))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 3 (.f64 y x)) (fma.f64 y (*.f64 3 x) (neg.f64 z)))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (-.f64 (.f64 z z) (.f64 (.f64 y x) (fma.f64 z 3 (.f64 (.f64 y x) -9)))))
(pow.f64 (fma.f64 3 (*.f64 y x) z) 1)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(pow.f64 (sqrt.f64 (fma.f64 3 (*.f64 y x) z)) 2)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) z)) 3)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(pow.f64 (pow.f64 (fma.f64 3 (*.f64 y x) z) 3) 1/3)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(sqrt.f64 (pow.f64 (fma.f64 3 (*.f64 y x) z) 2))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(log.f64 (exp.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 (*.f64 y x) z))))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(cbrt.f64 (pow.f64 (fma.f64 3 (*.f64 y x) z) 3))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(expm1.f64 (log1p.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(exp.f64 (log.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(exp.f64 (.f64 (log.f64 (fma.f64 3 (.f64 y x) z)) 1))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(log1p.f64 (expm1.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 3 (.f64 y x))

Compiler

Compiled 14 to 7 computations (50% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(.f64 3 (.f64 y x))
0.0ms	y	@	0	(.f64 3 (.f64 y x))
0.0ms	y	@	inf	(.f64 3 (.f64 y x))
0.0ms	x	@	-inf	(.f64 3 (.f64 y x))
0.0ms	x	@	inf	(.f64 3 (.f64 y x))

rewrite49.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`add-sqr-sqrt`
1304×	`*-un-lft-identity`
1210×	`add-cube-cbrt`
1194×	`add-cbrt-cube`
1180×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1633	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x))))))))

simplify60.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1100×	`distribute-rgt-in`
1100×	`distribute-lft-in`
1004×	`*-commutative`
886×	`log-prod`
842×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	275
1	92	209
2	356	143
3	2249	143
4	7020	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 3 (.f64 y x))) 1)
(pow.f64 (.f64 3 (.f64 y x)) 1)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y x))) 2)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 3)
(pow.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) 2) 9))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 3))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 3))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y x))))
(exp.f64 (log.f64 (.f64 3 (.f64 y x))))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y x))))

Outputs
(-.f64 (+.f64 1 (.f64 3 (.f64 y x))) 1)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(pow.f64 (.f64 3 (.f64 y x)) 1)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y x))) 2)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 3)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(pow.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) 1/3)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) 2) 9))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 3))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 3))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y x))))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(exp.f64 (log.f64 (.f64 3 (.f64 y x))))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y x))))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 y (.f64 3 x))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 y (.f64 3 x))
0.0ms	x	@	-inf	(.f64 y (.f64 3 x))
0.0ms	y	@	inf	(.f64 y (.f64 3 x))
0.0ms	x	@	inf	(.f64 y (.f64 3 x))
0.0ms	y	@	-inf	(.f64 y (.f64 3 x))

rewrite75.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`add-sqr-sqrt`
1304×	`*-un-lft-identity`
1210×	`add-cube-cbrt`
1194×	`add-cbrt-cube`
1180×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1633	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 y (.f64 3 x))

Outputs

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

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

944×	`distribute-rgt-in`
942×	`distribute-lft-in`
930×	`*-commutative`
816×	`log-prod`
812×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	455
1	93	455
2	325	455
3	2137	455
4	6504	455

Stop Event

1×	node limit

Counts

35 → 12

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 3 (*.f64 y x) z)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(fma.f64 3 (*.f64 y x) z)
0.0ms	y	@	0	(fma.f64 3 (*.f64 y x) z)
0.0ms	y	@	inf	(fma.f64 3 (*.f64 y x) z)
0.0ms	z	@	0	(fma.f64 3 (*.f64 y x) z)
0.0ms	x	@	-inf	(fma.f64 3 (*.f64 y x) z)

rewrite55.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`add-sqr-sqrt`
1652×	`*-un-lft-identity`
1526×	`add-cube-cbrt`
1506×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	178	15
2	2040	15

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(fma.f64 3 (*.f64 y x) z)

Outputs

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

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1456×	`times-frac`
1286×	`fma-def`
1246×	`distribute-lft-in`
1120×	`distribute-rgt-in`
622×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	895
1	152	887
2	690	881
3	2408	877

Stop Event

1×	node limit

Counts

59 → 32

Calls

Call 1

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

Outputs
z
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
z
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
z
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
z
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 z (.f64 3 (.f64 y x)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(+.f64 (.f64 (.f64 3 (*.f64 y x)) 1) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3 (*.f64 y x) z))) 1)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 (fma.f64 3 (.f64 y x) z) 1)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 1 (fma.f64 3 (.f64 y x) z))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 (sqrt.f64 (fma.f64 3 (.f64 y x) z)) (sqrt.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 (cbrt.f64 (fma.f64 3 (.f64 y x) z)) (pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) z)) 2))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (.f64 y x) z)) 2) (cbrt.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(/.f64 (-.f64 (.f64 (.f64 3 (.f64 y x)) (.f64 3 (.f64 y x))) (.f64 z z)) (-.f64 (.f64 3 (.f64 y x)) z))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) (+.f64 (.f64 (.f64 3 (.f64 y x)) (.f64 3 (.f64 y x))) (-.f64 (.f64 z z) (.f64 (.f64 3 (*.f64 y x)) z))))
(/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) (+.f64 (.f64 9 (.f64 (.f64 y x) (.f64 y x))) (.f64 z (-.f64 z (.f64 3 (*.f64 y x))))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 (.f64 (.f64 y x) 9) (.f64 y x) (.f64 z (+.f64 z (.f64 (*.f64 y x) -3)))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 y (.f64 3 x)) (-.f64 (.f64 y (.f64 3 x)) z))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 y (.f64 x -3)) (fma.f64 y (*.f64 x -3) z))))
(pow.f64 (fma.f64 3 (*.f64 y x) z) 1)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(pow.f64 (sqrt.f64 (fma.f64 3 (*.f64 y x) z)) 2)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) z)) 3)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(pow.f64 (pow.f64 (fma.f64 3 (*.f64 y x) z) 3) 1/3)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(sqrt.f64 (pow.f64 (fma.f64 3 (*.f64 y x) z) 2))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(log.f64 (exp.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 (*.f64 y x) z))))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(cbrt.f64 (pow.f64 (fma.f64 3 (*.f64 y x) z) 3))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(expm1.f64 (log1p.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(exp.f64 (log.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(exp.f64 (.f64 (log.f64 (fma.f64 3 (.f64 y x) z)) 1))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)
(log1p.f64 (expm1.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(fma.f64 y (*.f64 3 x) z)

eval19.0ms (0.5%)

Compiler: Compiled 1035 to 564 computations (45.5% saved)

prune15.0ms (0.4%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	94	8	102

Error

Counts

102 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 3 (*.f64 y x) (neg.f64 z))
✓	36.1b	(fma.f64 3 (*.f64 y x) z)
✓	0.4b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)
✓	35.5b	(.f64 y (.f64 3 x))
✓	35.3b	(.f64 3 (.f64 y x))
✓	28.2b	(neg.f64 z)
	62.6b	z

Compiler

Compiled 64 to 46 computations (28.1% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 3 (*.f64 y x) (neg.f64 z))
✓	36.1b	(fma.f64 3 (*.f64 y x) z)
✓	0.4b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)
✓	35.5b	(.f64 y (.f64 3 x))
✓	35.3b	(.f64 3 (.f64 y x))
✓	28.2b	(neg.f64 z)
	62.6b	z

Compiler

Compiled 64 to 46 computations (28.1% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 3 (*.f64 y x) (neg.f64 z))
✓	36.1b	(fma.f64 3 (*.f64 y x) z)
✓	0.4b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)
✓	35.5b	(.f64 y (.f64 3 x))
✓	35.3b	(.f64 3 (.f64 y x))
✓	28.2b	(neg.f64 z)
	62.6b	z

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes73.0ms (2%)

Counts

9 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(-.f64 (.f64 x (.f64 3 y)) z)
(-.f64 (.f64 (.f64 x 3) y) z)
(fma.f64 3 (*.f64 y x) z)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 x 3) y (neg.f64 z))

Outputs
(-.f64 (.f64 x (.f64 3 y)) z)

Calls

6 calls:

42.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
6.0ms	(*.f64 x 3)
6.0ms	x
6.0ms	z
6.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(-.f64 (.f64 (.f64 x 3) y) z)`
0.1b	1	`(.f64 (.f64 x 3) y)`
0.1b	1	`(*.f64 x 3)`

Compiler

Compiled 86 to 52 computations (39.5% saved)

regimes54.0ms (1.5%)

Counts

4 → 5

Calls

Call 1

Inputs
z
(neg.f64 z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))

Outputs
(neg.f64 z)
(.f64 y (.f64 3 x))
(neg.f64 z)
(.f64 y (.f64 3 x))
(neg.f64 z)

Calls

3 calls:

21.0ms	z
21.0ms	x
11.0ms	y

Results

Error	Segments	Branch
16.8b	5	`x`
16.9b	3	`y`
12.3b	5	`z`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch86.0ms (2.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
12.0ms	3.2670609812230725e-48	1.7491915577764563e-44
47.0ms	-3.465442811935706e-123	-9.171839012686588e-124
14.0ms	-2.6978066963481332e-8	-9.798032524556886e-15
12.0ms	-7.225345030204516e+47	-1.8416510040109727e+46

Results

81.0ms

464×

body

256

valid

Compiler

Compiled 451 to 360 computations (20.2% saved)

regimes97.0ms (2.6%)

Counts

3 → 5

Calls

Call 1

Inputs
z
(neg.f64 z)
(.f64 3 (.f64 y x))

Outputs
(neg.f64 z)
(.f64 3 (.f64 y x))
(neg.f64 z)
(.f64 3 (.f64 y x))
(neg.f64 z)

Calls

3 calls:

55.0ms	x
32.0ms	z
9.0ms	y

Results

Error	Segments	Branch
16.8b	5	`x`
17.0b	3	`y`
12.3b	5	`z`

Compiler

Compiled 23 to 16 computations (30.4% saved)

bsearch48.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
12.0ms	3.2670609812230725e-48	1.7491915577764563e-44
8.0ms	-3.465442811935706e-123	-9.171839012686588e-124
15.0ms	-2.6978066963481332e-8	-9.798032524556886e-15
11.0ms	-7.225345030204516e+47	-1.8416510040109727e+46

Results

41.0ms

464×

body

256

valid

Compiler

Compiled 451 to 360 computations (20.2% saved)

regimes10.0ms (0.3%)

Accuracy

Total -34.8b remaining (-123.3%)

Threshold costs -34.8b (-123.3%)

Counts

2 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)

Outputs
(neg.f64 z)

Calls

3 calls:

3.0ms	z
3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
28.2b	1	`x`
28.2b	1	`y`
28.2b	1	`z`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`not-or`
14×	`*-commutative`
12×	`if-if-or-not`
12×	`if-not`
10×	`not-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	179
1	57	171
2	66	171
3	78	163
4	86	163
5	93	163
6	95	163
7	97	163

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (.f64 3 y)) z)
(if (<=.f64 z -18499999999999999492791472096551073504158547968) (neg.f64 z) (if (<=.f64 z -3264099712959499/302231454903657293676544) (.f64 y (.f64 3 x)) (if (<=.f64 z -2530561702507585/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (neg.f64 z) (if (<=.f64 z 4499426523925173/803469022129495137770981046170581301261101496891396417650688) (.f64 y (.f64 3 x)) (neg.f64 z)))))
(if (<=.f64 z -18499999999999999492791472096551073504158547968) (neg.f64 z) (if (<=.f64 z -1470053796651389/77371252455336267181195264) (.f64 3 (.f64 y x)) (if (<=.f64 z -2530561702507585/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (neg.f64 z) (if (<=.f64 z 3776304404008627/401734511064747568885490523085290650630550748445698208825344) (.f64 3 (.f64 y x)) (neg.f64 z)))))
(neg.f64 z)
z

Outputs
(-.f64 (.f64 x (.f64 3 y)) z)
(if (<=.f64 z -18499999999999999492791472096551073504158547968) (neg.f64 z) (if (<=.f64 z -3264099712959499/302231454903657293676544) (.f64 y (.f64 3 x)) (if (<=.f64 z -2530561702507585/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (neg.f64 z) (if (<=.f64 z 4499426523925173/803469022129495137770981046170581301261101496891396417650688) (.f64 y (.f64 3 x)) (neg.f64 z)))))
(if (<=.f64 z -18499999999999999492791472096551073504158547968) (neg.f64 z) (if (<=.f64 z -3264099712959499/302231454903657293676544) (.f64 y (.f64 x 3)) (if (<=.f64 z -2530561702507585/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (neg.f64 z) (if (<=.f64 z 4499426523925173/803469022129495137770981046170581301261101496891396417650688) (.f64 y (.f64 x 3)) (neg.f64 z)))))
(if (<=.f64 z -18499999999999999492791472096551073504158547968) (neg.f64 z) (if (or (<=.f64 z -3264099712959499/302231454903657293676544) (not (or (<=.f64 z -2530561702507585/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (not (<=.f64 z 4499426523925173/803469022129495137770981046170581301261101496891396417650688))))) (.f64 y (.f64 x 3)) (neg.f64 z)))
(if (<=.f64 z -18499999999999999492791472096551073504158547968) (neg.f64 z) (if (or (<=.f64 z -3264099712959499/302231454903657293676544) (and (not (<=.f64 z -2530561702507585/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744)) (<=.f64 z 4499426523925173/803469022129495137770981046170581301261101496891396417650688))) (.f64 y (.f64 x 3)) (neg.f64 z)))
(if (<=.f64 z -18499999999999999492791472096551073504158547968) (neg.f64 z) (if (<=.f64 z -1470053796651389/77371252455336267181195264) (.f64 3 (.f64 y x)) (if (<=.f64 z -2530561702507585/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (neg.f64 z) (if (<=.f64 z 3776304404008627/401734511064747568885490523085290650630550748445698208825344) (.f64 3 (.f64 y x)) (neg.f64 z)))))
(if (<=.f64 z -18499999999999999492791472096551073504158547968) (neg.f64 z) (if (<=.f64 z -1470053796651389/77371252455336267181195264) (.f64 3 (.f64 x y)) (if (<=.f64 z -2530561702507585/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (neg.f64 z) (if (<=.f64 z 3776304404008627/401734511064747568885490523085290650630550748445698208825344) (.f64 3 (.f64 x y)) (neg.f64 z)))))
(if (<=.f64 z -18499999999999999492791472096551073504158547968) (neg.f64 z) (if (or (<=.f64 z -1470053796651389/77371252455336267181195264) (not (or (<=.f64 z -2530561702507585/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (not (<=.f64 z 3776304404008627/401734511064747568885490523085290650630550748445698208825344))))) (.f64 3 (.f64 x y)) (neg.f64 z)))
(if (<=.f64 z -18499999999999999492791472096551073504158547968) (neg.f64 z) (if (or (<=.f64 z -1470053796651389/77371252455336267181195264) (and (not (<=.f64 z -2530561702507585/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744)) (<=.f64 z 3776304404008627/401734511064747568885490523085290650630550748445698208825344))) (.f64 3 (.f64 x y)) (neg.f64 z)))
(neg.f64 z)
z

Compiler

Compiled 77 to 54 computations (29.9% saved)

soundness55.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

358×	`fma-def`
180×	`associate-r`
154×	`associate-+r+`
120×	`associate--r+`
104×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	18	19
2	31	19
3	43	19
4	77	19
5	140	19
6	250	19
7	530	19
8	886	19
9	977	19
10	1002	19
11	1004	19

Stop Event

1×

saturated

Compiler

Compiled 17 to 11 computations (35.3% saved)

end47.0ms (1.3%)

Remove: (sort x y)
Compiler: Compiled 85 to 54 computations (36.5% saved)

Details

analyze163.0ms (4.4%)

sample1.2s (31.3%)

preprocess64.0ms (1.7%)

simplify61.0ms (1.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite85.0ms (2.3%)

simplify144.0ms (3.9%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite82.0ms (2.2%)

simplify144.0ms (3.9%)

localize8.0ms (0.2%)

series2.0ms (0.1%)

rewrite88.0ms (2.4%)

simplify58.0ms (1.6%)

eval274.0ms (7.4%)

prune267.0ms (7.3%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite74.0ms (2%)

simplify70.0ms (1.9%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite49.0ms (1.3%)

simplify60.0ms (1.6%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite75.0ms (2%)

simplify58.0ms (1.6%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite55.0ms (1.5%)

simplify73.0ms (2%)

eval19.0ms (0.5%)

prune15.0ms (0.4%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes73.0ms (2%)

regimes54.0ms (1.5%)

bsearch86.0ms (2.3%)

regimes97.0ms (2.6%)

bsearch48.0ms (1.3%)

regimes10.0ms (0.3%)

simplify11.0ms (0.3%)

soundness55.0ms (1.5%)

end47.0ms (1.3%)

Profiling