Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, B

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample1.2s (14.1%)

Memory

-105.9MiB live, 856.8MiB allocated

Samples

957.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 748.0ms

ival-mult: 687.0ms (91.9% of total)

ival-sub: 48.0ms (6.4% of total)

ival-true: 6.0ms (0.8% of total)

exact: 4.0ms (0.5% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess67.0ms (0.8%)

Memory

-38.8MiB live, 99.5MiB allocated

Algorithm

1×	egg-herbie

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
224×	`lower-*.f32`
220×	`lower-*.f64`
174×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	69
1	69	63
2	165	63
3	407	63
4	772	63
5	970	63
6	1030	63
7	1030	63
0	7	7
0	10	7
1	16	7
2	28	7
3	36	7
4	63	7
5	106	7
6	190	7
7	312	7
8	404	7
9	429	7
10	437	7
0	437	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Symmetry

(sort x y)

explain98.0ms (1.2%)

Memory

-8.6MiB live, 149.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
0	-	-	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
0	-	-	`y`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`(*.f64 x #s(literal 3 binary64))`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 x #s(literal 3 binary64)) y)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (72.1% of total)

ival-sub: 2.0ms (20.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify20.0ms (0.2%)

Memory

24.8MiB live, 24.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	cost-diff	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
224×	`lower-*.f32`
220×	`lower-*.f64`
98×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z

localize40.0ms (0.5%)

Memory

-5.0MiB live, 33.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	accuracy	99.3%	(.f64 (.f64 x #s(literal 3 binary64)) y)

Samples

12.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (63.7% of total)

ival-sub: 1.0ms (21.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)>
#<alt (.f64 (.f64 x #s(literal 3 binary64)) y)>
#<alt (*.f64 x #s(literal 3 binary64))>

Outputs
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>

Calls

18 calls:

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

simplify166.0ms (2%)

Memory

-0.7MiB live, 234.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 582×	`lower-fma.f64`
3 582×	`lower-fma.f32`
2 750×	`lower-*.f64`
2 750×	`lower-*.f32`
1 560×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	378
1	118	378
2	331	378
3	833	378
4	2352	378
5	4041	378
6	5990	378
7	7425	378
8	7937	378
0	8002	378

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

rewrite769.0ms (9.3%)

Memory

-11.2MiB live, 577.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 502×	`lower-fma.f64`
10 502×	`lower-fma.f32`
4 312×	`lower-*.f32`
4 308×	`lower-*.f64`
3 816×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	28	15
2	184	15
3	1862	15
0	8723	15

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 256

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))

Outputs
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (neg.f64 z))
(+.f64 (neg.f64 z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) z))) #s(literal -1 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(-.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))
(-.f64 #s(literal 0 binary64) (-.f64 z (.f64 #s(literal 3 binary64) (.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z))) (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) z)))
(-.f64 (/.f64 (.f64 z z) (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z))))) (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) z)))
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(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z))) (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))))
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(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 0 binary64))
(exp.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y #s(literal 0 binary64))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 0 binary64))
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(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) #s(literal 0 binary64)) (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)))
(pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (pow.f64 (.f64 x y) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)))
(.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) y))))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 x #s(literal 3 binary64)))))
(.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (.f64 x y))))
(.f64 (exp.f64 (log.f64 (.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

eval39.0ms (0.5%)

Memory: 0.5MiB live, 77.0MiB allocated
Compiler: Compiled 15 517 to 700 computations (95.5% saved)

prune39.0ms (0.5%)

Memory

5.1MiB live, 82.9MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	323	5	328
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	323	6	329

Accuracy

100.0%

Counts

329 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
▶	34.3%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)))))
▶	99.9%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	99.4%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	47.8%	#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
▶	54.3%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 132 to 89 computations (32.6% saved)

simplify201.0ms (2.4%)

Memory

-2.3MiB live, 201.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
✓	cost-diff	0	(/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))))
✓	cost-diff	128	(-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)))))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	cost-diff	0	#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	#s(approx (- (* (* x 3) y) z) (neg.f64 z))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))

Rules

3 388×	`lower-fma.f32`
3 384×	`lower-fma.f64`
2 598×	`lower-*.f32`
2 580×	`lower-*.f64`
1 608×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	174
0	46	174
1	86	173
2	202	172
3	551	170
4	1971	170
5	4850	170
6	6187	170
7	7283	170
8	7761	170
9	7968	170
0	8032	169

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(*.f64 x y)
x
y
#s(literal 3 binary64)
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
x
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(.f64 (.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
z
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)))))
#s(literal 1 binary64)
(/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))))
(neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
#s(literal 3 binary64)
(*.f64 x y)
x
y
z
(-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))
(*.f64 z z)
(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
#s(literal 9 binary64)
(*.f64 y y)

Outputs
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(*.f64 x y)
x
y
#s(literal 3 binary64)
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x y) #s(literal 3 binary64)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 x y) #s(literal 3 binary64))
x
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
y
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(.f64 (.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
z
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)))))
(/.f64 (fma.f64 x (.f64 x (.f64 (.f64 y y) #s(literal -9 binary64))) (.f64 z z)) (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z))
#s(literal 1 binary64)
(/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))))
(neg.f64 (/.f64 (fma.f64 (.f64 x y) #s(literal 3 binary64) z) (fma.f64 x (.f64 x (.f64 (.f64 y y) #s(literal -9 binary64))) (*.f64 z z))))
(neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
#s(literal 3 binary64)
(*.f64 x y)
x
y
z
(-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))
(fma.f64 x (.f64 x (.f64 (.f64 y y) #s(literal -9 binary64))) (.f64 z z))
(*.f64 z z)
(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))
(.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
#s(literal 9 binary64)
(*.f64 y y)

localize117.0ms (1.4%)

Memory

9.0MiB live, 125.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	accuracy	93.9%	(-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))
✓	accuracy	79.4%	(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))
✓	accuracy	44.5%	(/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	accuracy	99.7%	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	accuracy	47.9%	#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	54.3%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	99.9%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))

Samples

78.0ms

256×

valid

Compiler

Compiled 172 to 29 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 49.0ms (81% of total)

ival-sub: 3.0ms (5% of total)

ival-div: 3.0ms (5% of total)

ival-add: 2.0ms (3.3% of total)

ival-neg: 2.0ms (3.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory

3.4MiB live, 40.3MiB allocated

Counts

15 → 420

Calls

Call 1

Inputs
#<alt (fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))>
#<alt (*.f64 x y)>
#<alt (neg.f64 z)>
#<alt #s(approx (- (* (* x 3) y) z) (neg.f64 z))>
#<alt #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))>
#<alt (.f64 x (.f64 #s(literal 3 binary64) y))>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)>
#<alt (.f64 (.f64 x y) #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)))))>
#<alt (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))>
#<alt (/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))))>
#<alt (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))>
#<alt (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))>
#<alt (.f64 (.f64 x x) #s(literal 9 binary64))>

Outputs
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -9 (* (pow x 2) (pow y 2)))>
#<alt (- (pow z 2) (* 9 (* (pow x 2) (pow y 2))))>
#<alt (- (pow z 2) (* 9 (* (pow x 2) (pow y 2))))>
#<alt (- (pow z 2) (* 9 (* (pow x 2) (pow y 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (+ (* -9 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (+ (* -9 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (+ (* -9 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (* -9 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (* 9 (pow y 2))))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (* 9 (pow y 2))))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (* 9 (pow y 2))))>
#<alt (* -9 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (* 9 (pow y 2))))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (* 9 (pow y 2))))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (* 9 (pow y 2))))>
#<alt (pow z 2)>
#<alt (+ (* -9 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (+ (* -9 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (+ (* -9 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (* -9 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (* 9 (pow x 2))))>
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (* 9 (pow x 2))))>
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (* 9 (pow x 2))))>
#<alt (* -9 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (* 9 (pow x 2))))>
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (* 9 (pow x 2))))>
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (* 9 (pow x 2))))>
#<alt (/ -1 z)>
#<alt (- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (- (* x (+ (* -9 (/ (* x (pow y 2)) (pow z 3))) (* -3 (/ y (pow z 2))))) (/ 1 z))>
#<alt (- (* x (+ (* -3 (/ y (pow z 2))) (* x (+ (* -27 (/ (* x (pow y 3)) (pow z 4))) (* -9 (/ (pow y 2) (pow z 3))))))) (/ 1 z))>
#<alt (/ 1/3 (* x y))>
#<alt (/ (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x)>
#<alt (/ (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y)))) x)>
#<alt (/ (+ (* 1/81 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))))) x)>
#<alt (/ 1/3 (* x y))>
#<alt (* -1 (/ (- (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/27 (/ (pow z 2) (* x (pow y 3)))) (* 1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (/ (pow z 2) (pow y 3))) (* -1/81 (/ (pow z 3) (* x (pow y 4))))) x)) (* 1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))>
#<alt (/ -1 z)>
#<alt (- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (- (* y (+ (* -9 (/ (* (pow x 2) y) (pow z 3))) (* -3 (/ x (pow z 2))))) (/ 1 z))>
#<alt (- (* y (+ (* -3 (/ x (pow z 2))) (* y (+ (* -27 (/ (* (pow x 3) y) (pow z 4))) (* -9 (/ (pow x 2) (pow z 3))))))) (/ 1 z))>
#<alt (/ 1/3 (* x y))>
#<alt (/ (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y)>
#<alt (/ (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))) y)>
#<alt (/ (+ (* 1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))))) y)>
#<alt (/ 1/3 (* x y))>
#<alt (* -1 (/ (- (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/27 (/ (pow z 2) (* (pow x 3) y))) (* 1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (/ (pow z 2) (pow x 3))) (* -1/81 (/ (pow z 3) (* (pow x 4) y)))) y)) (* 1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))>
#<alt (/ 1/3 (* x y))>
#<alt (+ (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))>
#<alt (+ (* z (+ (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))>
#<alt (+ (* z (+ (* z (+ (* 1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))>
#<alt (/ -1 z)>
#<alt (/ (- (* -3 (/ (* x y) z)) 1) z)>
#<alt (/ (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* -3 (/ (* x y) z))) 1) z)>
#<alt (/ (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* -3 (/ (* x y) z)))) 1) z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (+ 1 (* 3 (/ (* x y) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (* x y)) (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z))) z))) z))>
#<alt (* -1 z)>
#<alt (- (* -3 (* x y)) z)>
#<alt (- (* -3 (* x y)) z)>
#<alt (- (* -3 (* x y)) z)>
#<alt (* -3 (* x y))>
#<alt (* x (- (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (- (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (- (* -1 (/ z x)) (* 3 y)))>
#<alt (* -3 (* x y))>
#<alt (* -1 (* x (- (/ z x) (* -3 y))))>
#<alt (* -1 (* x (- (/ z x) (* -3 y))))>
#<alt (* -1 (* x (- (/ z x) (* -3 y))))>
#<alt (* -1 z)>
#<alt (- (* -3 (* x y)) z)>
#<alt (- (* -3 (* x y)) z)>
#<alt (- (* -3 (* x y)) z)>
#<alt (* -3 (* x y))>
#<alt (* y (- (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (- (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (- (* -1 (/ z y)) (* 3 x)))>
#<alt (* -3 (* x y))>
#<alt (* -1 (* y (- (/ z y) (* -3 x))))>
#<alt (* -1 (* y (- (/ z y) (* -3 x))))>
#<alt (* -1 (* y (- (/ z y) (* -3 x))))>
#<alt (* -3 (* x y))>
#<alt (- (* -1 z) (* 3 (* x y)))>
#<alt (- (* -1 z) (* 3 (* x y)))>
#<alt (- (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* -3 (/ (* x y) z)) 1))>
#<alt (* z (- (* -3 (/ (* x y) z)) 1))>
#<alt (* z (- (* -3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* 3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* 3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* 3 (/ (* x y) z)))))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>

Calls

105 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))
2.0ms	x	@	-inf	(/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y)))))
1.0ms	z	@	0	(/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y)))))
1.0ms	x	@	0	(/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y)))))
1.0ms	x	@	inf	(/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y)))))

simplify316.0ms (3.8%)

Memory

7.5MiB live, 473.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 064×	`lower-fma.f64`
8 064×	`lower-fma.f32`
5 178×	`lower-*.f64`
5 178×	`lower-*.f32`
3 682×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	3195
1	806	3183
2	2530	3171
3	6174	3140
0	8325	3067

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -9 (* (pow x 2) (pow y 2)))
(- (pow z 2) (* 9 (* (pow x 2) (pow y 2))))
(- (pow z 2) (* 9 (* (pow x 2) (pow y 2))))
(- (pow z 2) (* 9 (* (pow x 2) (pow y 2))))
(pow z 2)
(* (pow z 2) (+ 1 (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (+ 1 (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (+ 1 (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (+ 1 (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (+ 1 (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))
(pow z 2)
(+ (* -9 (* (pow x 2) (pow y 2))) (pow z 2))
(+ (* -9 (* (pow x 2) (pow y 2))) (pow z 2))
(+ (* -9 (* (pow x 2) (pow y 2))) (pow z 2))
(* -9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (* 9 (pow y 2))))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (* 9 (pow y 2))))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (* 9 (pow y 2))))
(* -9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (* 9 (pow y 2))))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (* 9 (pow y 2))))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (* 9 (pow y 2))))
(pow z 2)
(+ (* -9 (* (pow x 2) (pow y 2))) (pow z 2))
(+ (* -9 (* (pow x 2) (pow y 2))) (pow z 2))
(+ (* -9 (* (pow x 2) (pow y 2))) (pow z 2))
(* -9 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (* 9 (pow x 2))))
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (* 9 (pow x 2))))
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (* 9 (pow x 2))))
(* -9 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (* 9 (pow x 2))))
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (* 9 (pow x 2))))
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (* 9 (pow x 2))))
(/ -1 z)
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* x (+ (* -9 (/ (* x (pow y 2)) (pow z 3))) (* -3 (/ y (pow z 2))))) (/ 1 z))
(- (* x (+ (* -3 (/ y (pow z 2))) (* x (+ (* -27 (/ (* x (pow y 3)) (pow z 4))) (* -9 (/ (pow y 2) (pow z 3))))))) (/ 1 z))
(/ 1/3 (* x y))
(/ (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x)
(/ (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y)))) x)
(/ (+ (* 1/81 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))))) x)
(/ 1/3 (* x y))
(* -1 (/ (- (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (+ (* 1/27 (/ (pow z 2) (* x (pow y 3)))) (* 1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (/ (pow z 2) (pow y 3))) (* -1/81 (/ (pow z 3) (* x (pow y 4))))) x)) (* 1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))
(/ -1 z)
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* y (+ (* -9 (/ (* (pow x 2) y) (pow z 3))) (* -3 (/ x (pow z 2))))) (/ 1 z))
(- (* y (+ (* -3 (/ x (pow z 2))) (* y (+ (* -27 (/ (* (pow x 3) y) (pow z 4))) (* -9 (/ (pow x 2) (pow z 3))))))) (/ 1 z))
(/ 1/3 (* x y))
(/ (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y)
(/ (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))) y)
(/ (+ (* 1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))))) y)
(/ 1/3 (* x y))
(* -1 (/ (- (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (+ (* 1/27 (/ (pow z 2) (* (pow x 3) y))) (* 1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (/ (pow z 2) (pow x 3))) (* -1/81 (/ (pow z 3) (* (pow x 4) y)))) y)) (* 1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))
(/ 1/3 (* x y))
(+ (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))
(+ (* z (+ (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))
(+ (* z (+ (* z (+ (* 1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))
(/ -1 z)
(/ (- (* -3 (/ (* x y) z)) 1) z)
(/ (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* -3 (/ (* x y) z))) 1) z)
(/ (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* -3 (/ (* x y) z)))) 1) z)
(/ -1 z)
(* -1 (/ (+ 1 (* 3 (/ (* x y) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (* x y)) (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z))) z))) z))
(* -1 z)
(- (* -3 (* x y)) z)
(- (* -3 (* x y)) z)
(- (* -3 (* x y)) z)
(* -3 (* x y))
(* x (- (* -1 (/ z x)) (* 3 y)))
(* x (- (* -1 (/ z x)) (* 3 y)))
(* x (- (* -1 (/ z x)) (* 3 y)))
(* -3 (* x y))
(* -1 (* x (- (/ z x) (* -3 y))))
(* -1 (* x (- (/ z x) (* -3 y))))
(* -1 (* x (- (/ z x) (* -3 y))))
(* -1 z)
(- (* -3 (* x y)) z)
(- (* -3 (* x y)) z)
(- (* -3 (* x y)) z)
(* -3 (* x y))
(* y (- (* -1 (/ z y)) (* 3 x)))
(* y (- (* -1 (/ z y)) (* 3 x)))
(* y (- (* -1 (/ z y)) (* 3 x)))
(* -3 (* x y))
(* -1 (* y (- (/ z y) (* -3 x))))
(* -1 (* y (- (/ z y) (* -3 x))))
(* -1 (* y (- (/ z y) (* -3 x))))
(* -3 (* x y))
(- (* -1 z) (* 3 (* x y)))
(- (* -1 z) (* 3 (* x y)))
(- (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* -3 (/ (* x y) z)) 1))
(* z (- (* -3 (/ (* x y) z)) 1))
(* z (- (* -3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* 3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* 3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* 3 (/ (* x y) z)))))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))

Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
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(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) z) (.f64 (*.f64 x y) #s(literal -3 binary64))) z)) z)
(/ (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* -3 (/ (* x y) z)))) 1) z)
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27 binary64) (.f64 (.f64 x (.f64 y (.f64 x (.f64 y y)))) (/.f64 x (.f64 z (.f64 z z)))) (/.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) z) (.f64 (.f64 x y) #s(literal -3 binary64))) z))) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 (/ (+ 1 (* 3 (/ (* x y) z))) z))
(/.f64 (fma.f64 x (/.f64 (*.f64 y #s(literal -3 binary64)) z) #s(literal -1 binary64)) z)
(* -1 (/ (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))) z))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) z) (.f64 (*.f64 x y) #s(literal -3 binary64))) z)) z)
(* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (* x y)) (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z))) z))) z))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal -3 binary64)) (/.f64 (fma.f64 #s(literal -27 binary64) (.f64 x (/.f64 (.f64 x (.f64 y (.f64 x (.f64 y y)))) z)) (.f64 #s(literal -9 binary64) (.f64 x (.f64 x (.f64 y y))))) z)) z)) z)
(* -1 z)
(neg.f64 z)
(- (* -3 (* x y)) z)
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(- (* -3 (* x y)) z)
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(- (* -3 (* x y)) z)
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -3 (* x y))
(.f64 (.f64 x y) #s(literal -3 binary64))
(* x (- (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* x (- (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* x (- (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -3 (* x y))
(.f64 (.f64 x y) #s(literal -3 binary64))
(* -1 (* x (- (/ z x) (* -3 y))))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -1 (* x (- (/ z x) (* -3 y))))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -1 (* x (- (/ z x) (* -3 y))))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -1 z)
(neg.f64 z)
(- (* -3 (* x y)) z)
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(- (* -3 (* x y)) z)
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(- (* -3 (* x y)) z)
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -3 (* x y))
(.f64 (.f64 x y) #s(literal -3 binary64))
(* y (- (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* y (- (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* y (- (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -3 (* x y))
(.f64 (.f64 x y) #s(literal -3 binary64))
(* -1 (* y (- (/ z y) (* -3 x))))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -1 (* y (- (/ z y) (* -3 x))))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -1 (* y (- (/ z y) (* -3 x))))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -3 (* x y))
(.f64 (.f64 x y) #s(literal -3 binary64))
(- (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(- (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(- (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* -3 (/ (* x y) z)) 1))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* z (- (* -3 (/ (* x y) z)) 1))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* z (- (* -3 (/ (* x y) z)) 1))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* 3 (/ (* x y) z)))))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -1 (* z (+ 1 (* 3 (/ (* x y) z)))))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* -1 (* z (+ 1 (* 3 (/ (* x y) z)))))
(-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))

rewrite507.0ms (6.2%)

Memory

29.7MiB live, 618.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 358×	`lower-fma.f32`
9 354×	`lower-fma.f64`
4 360×	`lower-*.f32`
4 342×	`lower-*.f64`
3 036×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	133
0	46	117
1	165	117
2	967	101
0	9168	99

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

15 → 1 433

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(*.f64 x y)
(neg.f64 z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(.f64 (.f64 x y) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)))))
(-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))))
(neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))
(.f64 (.f64 x x) #s(literal 9 binary64))

Outputs
(+.f64 (neg.f64 z) (.f64 x (.f64 y #s(literal 3 binary64))))
(+.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (neg.f64 z))
(+.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 y #s(literal 3 binary64))) z))
(+.f64 (/.f64 (.f64 z z) (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (.f64 z z)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (.f64 y (.f64 y (.f64 (*.f64 x x) #s(literal -9 binary64))))))
(exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 (.f64 x (*.f64 y #s(literal 3 binary64))) z))) #s(literal -1 binary64)))
(-.f64 (.f64 x (.f64 y #s(literal 3 binary64))) z)
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))
(-.f64 (/.f64 (.f64 z z) (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -9 binary64)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z (.f64 z (.f64 z z))))) (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z (.f64 z (.f64 z z))))) (-.f64 (.f64 (*.f64 x y) #s(literal -3 binary64)) z)))
(-.f64 (/.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z))) (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z))) (-.f64 (.f64 (*.f64 x y) #s(literal -3 binary64)) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (fma.f64 (.f64 x y) #s(literal -3 binary64) z))
(-.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z) (fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z (.f64 z (.f64 z z)))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729 binary64)))) (.f64 (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z) (fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z (.f64 z (*.f64 z z)))))))
(-.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (*.f64 z z)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (fma.f64 z z (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 x (.f64 (.f64 y #s(literal 3 binary64)) z))))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 z z (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 x (.f64 (.f64 y #s(literal 3 binary64)) z))))))
(-.f64 (/.f64 (/.f64 (.f64 z z) (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -9 binary64)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) (neg.f64 z))
(fma.f64 x (neg.f64 (*.f64 y #s(literal -3 binary64))) (neg.f64 z))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (neg.f64 z))
(fma.f64 y (neg.f64 (*.f64 x #s(literal -3 binary64))) (neg.f64 z))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y #s(literal 3 binary64)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 z))
(fma.f64 z #s(literal -1 binary64) (.f64 x (.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 y)) (neg.f64 z))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (neg.f64 (neg.f64 x)) (neg.f64 z))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))
(fma.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 #s(literal 9 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x y)) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (-.f64 (.f64 (*.f64 x y) #s(literal -3 binary64)) z)))
(fma.f64 #s(literal -1 binary64) z (.f64 x (.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x y) #s(literal -3 binary64)) (neg.f64 z))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 z z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 x (.f64 y #s(literal 3 binary64))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z))))))
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (-.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (.f64 z z) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -9 binary64))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z (neg.f64 z)) #s(literal -1 binary64)) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) #s(literal -1 binary64)) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
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(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (.f64 z (.f64 z z))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))))))
(.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -3 binary64) z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (fma.f64 (*.f64 x y) #s(literal -3 binary64) z)))))
(.f64 (neg.f64 (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 z z))) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(.f64 (neg.f64 (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(.f64 (/.f64 (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64)))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -9 binary64))) (neg.f64 (.f64 z (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (.f64 z (.f64 z z)))) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z))))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64))))) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 z z)) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (fma.f64 (.f64 x y) #s(literal -3 binary64) z)))))
(.f64 (neg.f64 (/.f64 (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64))))) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -9 binary64)))))
(neg.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -9 binary64)))))
(neg.f64 (.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) (.f64 x (*.f64 y #s(literal 3 binary64)))))
(neg.f64 (.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (.f64 (*.f64 x y) #s(literal -3 binary64))))
(pow.f64 (.f64 x (.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 (.f64 y #s(literal 3 binary64)) (.f64 x (*.f64 y #s(literal 3 binary64)))))
(.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))
(.f64 x (.f64 (.f64 x #s(literal 9 binary64)) (.f64 y y)))
(.f64 y (.f64 x (.f64 (.f64 x #s(literal 9 binary64)) y)))
(.f64 y (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 y #s(literal 3 binary64)))))
(.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (.f64 x (*.f64 y #s(literal 3 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 (.f64 x y) (.f64 x (*.f64 y #s(literal 3 binary64)))))
(.f64 (.f64 x #s(literal 3 binary64)) (.f64 y (.f64 x (*.f64 y #s(literal 3 binary64)))))
(.f64 (.f64 y #s(literal 3 binary64)) (.f64 x (.f64 x (*.f64 y #s(literal 3 binary64)))))
(.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (.f64 x (*.f64 y #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))))
(.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y)))
(.f64 (.f64 x x) (.f64 (.f64 y #s(literal -3 binary64)) (*.f64 y #s(literal -3 binary64))))
(.f64 (.f64 x x) (neg.f64 (.f64 (.f64 y y) #s(literal -9 binary64))))
(.f64 #s(literal 9 binary64) (.f64 (.f64 x y) (.f64 x y)))
(.f64 #s(literal 9 binary64) (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y))))
(.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 y y) (.f64 (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal -3 binary64))))
(.f64 (.f64 y y) (neg.f64 (.f64 (.f64 x x) #s(literal -9 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 (*.f64 x x) #s(literal -9 binary64)))))
(.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (neg.f64 (.f64 y y)))
(.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) (.f64 (*.f64 x y) #s(literal -3 binary64)))
(.f64 (.f64 x (.f64 (.f64 x #s(literal 9 binary64)) y)) y)
(.f64 (.f64 x (.f64 (.f64 x #s(literal 9 binary64)) y)) (neg.f64 (neg.f64 y)))
(.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 x x))
(.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 (neg.f64 x) (neg.f64 x)))
(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))
(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (neg.f64 y) (neg.f64 y)))
(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (neg.f64 (neg.f64 (.f64 y y))))
(.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 y y) #s(literal -9 binary64)))
(.f64 (neg.f64 (.f64 y y)) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 y (.f64 (.f64 x x) #s(literal -9 binary64))) (neg.f64 y))
(.f64 (.f64 (.f64 x (.f64 y #s(literal 3 binary64))) x) (*.f64 y #s(literal 3 binary64)))
(.f64 (.f64 (.f64 x (.f64 y #s(literal 3 binary64))) y) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (*.f64 x y)) #s(literal 3 binary64))
(.f64 (.f64 (.f64 x (.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 x y))
(.f64 (.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64))) y)
(.f64 (.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) x)
(.f64 (.f64 (.f64 y y) x) (.f64 x #s(literal 9 binary64)))
(.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64))
(.f64 (pow.f64 (.f64 x (.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 y #s(literal -3 binary64)) (.f64 y #s(literal -3 binary64))) (*.f64 x x))
(.f64 (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal -3 binary64))) (*.f64 y y))
(.f64 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y))) #s(literal 9 binary64))
(.f64 (.f64 (neg.f64 y) (neg.f64 y)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal 9 binary64) (.f64 y y)))
(.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 y y))
(.f64 (neg.f64 (neg.f64 (.f64 x x))) (.f64 #s(literal 9 binary64) (.f64 y y)))
(.f64 (neg.f64 (neg.f64 (.f64 y y))) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (neg.f64 (.f64 y (.f64 (.f64 x x) #s(literal -9 binary64)))) y)
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 9 binary64)) x)

eval274.0ms (3.3%)

Memory: 20.5MiB live, 505.4MiB allocated
Compiler: Compiled 63 190 to 2 771 computations (95.6% saved)

prune210.0ms (2.6%)

Memory

-7.4MiB live, 287.3MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 930	3	1 933
Fresh	0	0	0
Picked	2	3	5
Done	1	0	1
Total	1 933	6	1 939

Accuracy

100.0%

Counts

1 939 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
▶	47.7%	#s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 #s(literal 3 binary64) (.f64 x y)))
▶	13.5%	#s(approx (- (* (* x 3) y) z) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64)))))
▶	47.3%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
✓	47.8%	#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
✓	54.3%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 64 to 43 computations (32.8% saved)

simplify556.0ms (6.7%)

Memory

31.1MiB live, 296.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x y))
✓	cost-diff	0	#s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 #s(literal 3 binary64) (.f64 x y)))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))
✓	cost-diff	0	#s(approx (- (* (* x 3) y) z) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64)))))
✓	cost-diff	192	(-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64))
✓	cost-diff	1984	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	cost-diff	0	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))

Rules

4 868×	`lower-fma.f64`
4 868×	`lower-fma.f32`
3 930×	`lower-*.f32`
3 910×	`lower-*.f64`
3 494×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	155
0	49	129
1	104	128
2	366	126
3	1806	126
4	2957	126
5	5827	126
0	8276	125

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
#s(approx (- (* (* x 3) y) z) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))))
(-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64))
(.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))
x
(.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))
(.f64 #s(literal 9 binary64) (.f64 y y))
#s(literal 9 binary64)
(*.f64 y y)
y
#s(literal 0 binary64)
(.f64 x (.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
x
y

Outputs
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 x (.f64 #s(literal 3 binary64) y))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
#s(approx (- (* (* x 3) y) z) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64)))))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64))
(.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))
(.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))
x
(.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))
(.f64 #s(literal 9 binary64) (.f64 y y))
#s(literal 9 binary64)
(*.f64 y y)
y
#s(literal 0 binary64)
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
#s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 x (.f64 #s(literal 3 binary64) y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
#s(literal 3 binary64)
(*.f64 x y)
x
y

localize99.0ms (1.2%)

Memory

-7.5MiB live, 162.8MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x y))
✓	accuracy	47.9%	#s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 #s(literal 3 binary64) (.f64 x y)))
✓	accuracy	97.0%	(.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))
✓	accuracy	88.0%	(.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))
✓	accuracy	47.9%	#s(approx (- (* (* x 3) y) z) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64)))))
✓	accuracy	43.8%	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.3%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	accuracy	47.9%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))

Samples

71.0ms

256×

valid

Compiler

Compiled 127 to 31 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 30.0ms (69.9% of total)

ival-div: 7.0ms (16.3% of total)

ival-sub: 3.0ms (7% of total)

ival-add: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

-24.0MiB live, 14.1MiB allocated

Counts

11 → 288

Calls

Call 1

Inputs
#<alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))>
#<alt (.f64 (.f64 x #s(literal 3 binary64)) y)>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))))>
#<alt (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64))>
#<alt #s(approx (- (* (* x 3) y) z) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64)))))>
#<alt (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))>
#<alt #s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 #s(literal 3 binary64) (.f64 x y)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (*.f64 x y)>
#<alt (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))>

Outputs
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>

Calls

72 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(* x (* 9 (* y y)))
1.0ms	x	@	0	(* x (* 9 (* y y)))
0.0ms	y	@	0	(* x (* 9 (* y y)))
0.0ms	x	@	inf	(* x (* 9 (* y y)))
0.0ms	x	@	-inf	(* x (* 9 (* y y)))

simplify264.0ms (3.2%)

Memory

19.8MiB live, 297.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 344×	`lower-/.f32`
3 344×	`lower-/.f64`
3 290×	`lower-fma.f64`
3 290×	`lower-fma.f32`
2 926×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	1734
1	136	1734
2	376	1734
3	922	1734
4	2029	1734
5	4943	1734
6	7888	1734
0	8197	1734

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))

Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
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rewrite579.0ms (7%)

Memory

5.7MiB live, 795.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

15 460×	`lower-fma.f64`
15 460×	`lower-fma.f32`
4 706×	`lower-*.f32`
4 686×	`lower-*.f64`
3 360×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	128
0	49	105
1	188	105
2	1419	85
0	8787	83

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

11 → 1 085

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))))
(-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64))
#s(approx (- (* (* x 3) y) z) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64)))))
(.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))
#s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(*.f64 x y)
(.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))

Outputs
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) #s(literal -3 binary64)))
(neg.f64 (.f64 (.f64 x y) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))
(/.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) #s(literal -1 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (neg.f64 (.f64 y #s(literal -3 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (neg.f64 (.f64 x (neg.f64 y))))
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 y (neg.f64 (.f64 x #s(literal -3 binary64))))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 y)))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 #s(literal 3 binary64) y) (neg.f64 (neg.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x y) #s(literal -3 binary64)))
(.f64 (.f64 y #s(literal -3 binary64)) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 y #s(literal -3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 x (neg.f64 y)))
(.f64 (neg.f64 y) (.f64 x #s(literal -3 binary64)))
(.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 y))
(.f64 (.f64 x (neg.f64 y)) #s(literal -3 binary64))
(.f64 (neg.f64 (.f64 y #s(literal -3 binary64))) x)
(.f64 (neg.f64 (neg.f64 x)) (.f64 #s(literal 3 binary64) y))
(.f64 (neg.f64 (neg.f64 y)) (.f64 x #s(literal 3 binary64)))
(.f64 (neg.f64 (.f64 x #s(literal -3 binary64))) y)
(.f64 (neg.f64 (.f64 x (neg.f64 y))) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal 0 binary64)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))
(+.f64 (.f64 (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64))
(-.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 81 binary64))))))
(-.f64 (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal 27 binary64)))))
(-.f64 (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))))
(-.f64 (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) (.f64 x (.f64 #s(literal 3 binary64) y)))) (/.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) (.f64 x (.f64 #s(literal 3 binary64) y)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 (.f64 #s(literal 3 binary64) y) (.f64 x (.f64 #s(literal 3 binary64) y)))) (/.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))
(fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 x (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
(fma.f64 x (/.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 x (neg.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (.f64 y #s(literal -3 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x (neg.f64 y))) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 x (neg.f64 y))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 y (neg.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 0 binary64))
(fma.f64 y (neg.f64 (.f64 x #s(literal -3 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y #s(literal 0 binary64))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 y)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 y y) (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (/.f64 x (.f64 x (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (/.f64 x (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) x (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (neg.f64 (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) (neg.f64 (neg.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 #s(literal 3 binary64) y)) (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 x (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x y) #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x y) #s(literal -3 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) (.f64 x (.f64 #s(literal 3 binary64) y)))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))) (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 81 binary64))))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 81 binary64))))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 81 binary64))) (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 81 binary64))) (.f64 x (.f64 #s(literal 3 binary64) y)))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal 0 binary64) (fma.f64 x (.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 y y) #s(literal -9 binary64)))) (neg.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 y y) #s(literal -9 binary64)))) (neg.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))) (/.f64 y (.f64 x (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))) (/.f64 y (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) y)) (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 0 binary64)))
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(.f64 (neg.f64 (neg.f64 x)) (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))
(.f64 (pow.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)) (pow.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal 9 binary64) (.f64 y y)))
(.f64 (.f64 (neg.f64 y) (neg.f64 y)) (.f64 #s(literal 9 binary64) (.f64 x x)))
(.f64 (.f64 (.f64 y #s(literal -3 binary64)) (.f64 y #s(literal -3 binary64))) (*.f64 x x))
(.f64 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y))) #s(literal 9 binary64))
(.f64 (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal -3 binary64))) (*.f64 y y))
(.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 y y))
(.f64 (neg.f64 (.f64 y (neg.f64 y))) (.f64 #s(literal 9 binary64) (.f64 x x)))
(.f64 (neg.f64 (.f64 x (.f64 (.f64 y y) #s(literal -9 binary64)))) x)
(.f64 (neg.f64 (neg.f64 (.f64 x x))) (.f64 #s(literal 9 binary64) (.f64 y y)))
(.f64 (neg.f64 (.f64 y (.f64 (.f64 x x) #s(literal -9 binary64)))) y)
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) #s(literal -3 binary64)))
(neg.f64 (.f64 (.f64 x y) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))
(/.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) #s(literal -1 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (neg.f64 (.f64 y #s(literal -3 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (neg.f64 (.f64 x (neg.f64 y))))
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 y (neg.f64 (.f64 x #s(literal -3 binary64))))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 y)))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 #s(literal 3 binary64) y) (neg.f64 (neg.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x y) #s(literal -3 binary64)))
(.f64 (.f64 y #s(literal -3 binary64)) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 y #s(literal -3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 x (neg.f64 y)))
(.f64 (neg.f64 y) (.f64 x #s(literal -3 binary64)))
(.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 y))
(.f64 (.f64 x (neg.f64 y)) #s(literal -3 binary64))
(.f64 (neg.f64 (.f64 y #s(literal -3 binary64))) x)
(.f64 (neg.f64 (neg.f64 x)) (.f64 #s(literal 3 binary64) y))
(.f64 (neg.f64 (neg.f64 y)) (.f64 x #s(literal 3 binary64)))
(.f64 (neg.f64 (.f64 x #s(literal -3 binary64))) y)
(.f64 (neg.f64 (.f64 x (neg.f64 y))) #s(literal 3 binary64))
(*.f64 x y)
(*.f64 y x)
(.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 y y) x))
(.f64 (.f64 y y) (*.f64 x #s(literal 9 binary64)))
(.f64 (.f64 #s(literal 9 binary64) (*.f64 y y)) x)
(.f64 (.f64 x #s(literal 9 binary64)) (*.f64 y y))
(.f64 (.f64 y #s(literal 9 binary64)) (*.f64 x y))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(.f64 (.f64 x (*.f64 y #s(literal 9 binary64))) y)
(.f64 (.f64 (*.f64 x #s(literal 9 binary64)) y) y)

eval224.0ms (2.7%)

Memory: -26.8MiB live, 289.6MiB allocated
Compiler: Compiled 29 917 to 2 038 computations (93.2% saved)

prune272.0ms (3.3%)

Memory

0.1MiB live, 314.5MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 372	1	1 373
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	1 373	6	1 379

Accuracy

100.0%

Counts

1 379 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	47.7%	#s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 #s(literal 3 binary64) (.f64 x y)))
▶	34.7%	#s(approx (- (* (* x 3) y) z) (/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y))
✓	47.3%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
✓	47.8%	#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
✓	54.3%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 60 to 41 computations (31.7% saved)

simplify167.0ms (2%)

Memory

8.9MiB live, 288.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (- (* (* x 3) y) z) (/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y))
✓	cost-diff	320	(.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) #s(literal 1 binary64))
✓	cost-diff	320	(.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	1024	(/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y)

Rules

3 692×	`lower-*.f32`
3 682×	`lower-*.f64`
2 434×	`lower-/.f32`
2 432×	`lower-/.f64`
2 130×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	74
0	23	66
1	47	66
2	115	60
3	331	52
4	1041	52
5	1821	52
6	4337	52
7	5598	52
8	7997	52
0	8032	52

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y))
(/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y)
(.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))
x
(.f64 #s(literal 9 binary64) (.f64 y y))
#s(literal 9 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
#s(literal 1/3 binary64)

Outputs
#s(approx (- (* (* x 3) y) z) (/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y)
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) #s(literal 1 binary64))
(.f64 x (.f64 y (*.f64 y #s(literal 9 binary64))))
(.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))
(.f64 x (.f64 y (*.f64 y #s(literal 9 binary64))))
x
(.f64 #s(literal 9 binary64) (.f64 y y))
(.f64 y (.f64 y #s(literal 9 binary64)))
#s(literal 9 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
#s(literal 1/3 binary64)

localize46.0ms (0.6%)

Memory

-7.9MiB live, 113.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
✓	accuracy	88.0%	(.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))
✓	accuracy	78.9%	(/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y)
✓	accuracy	47.9%	#s(approx (- (* (* x 3) y) z) (/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y))

Samples

31.0ms

256×

valid

Compiler

Compiled 62 to 18 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (61.7% of total)

const: 4.0ms (19% of total)

ival-div: 2.0ms (9.5% of total)

ival-sub: 1.0ms (4.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y)>
#<alt (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64))>
#<alt (.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) #s(literal 1 binary64))>
#<alt #s(approx (- (* (* x 3) y) z) (/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y))>
#<alt (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))>

Outputs
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 3 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>
#<alt (* 9 (* x (pow y 2)))>

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* (* (* x (* 9 (* y y))) 1) 1/3)
0.0ms	x	@	-inf	(* (* (* x (* 9 (* y y))) 1) 1/3)
0.0ms	x	@	inf	(* (* (* x (* 9 (* y y))) 1) 1/3)
0.0ms	y	@	0	(* (* (* x (* 9 (* y y))) 1) 1/3)
0.0ms	y	@	inf	(* (* (* x (* 9 (* y y))) 1) 1/3)

simplify233.0ms (2.8%)

Memory

12.9MiB live, 321.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 146×	`lower-*.f64`
3 146×	`lower-*.f32`
2 944×	`lower-fma.f64`
2 944×	`lower-fma.f32`
2 502×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	846
1	131	846
2	363	846
3	887	846
4	2245	846
5	4701	846
6	7060	846
0	8017	846

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 3 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))
(* 9 (* x (pow y 2)))

Outputs
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 3 (* x (pow y 2)))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(* 9 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))

rewrite462.0ms (5.6%)

Memory

14.8MiB live, 597.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 050×	`lower-fma.f64`
9 050×	`lower-fma.f32`
4 914×	`lower-*.f32`
4 904×	`lower-*.f64`
3 098×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	61
0	23	53
1	68	53
2	328	47
3	2767	39
0	8528	39

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 195

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y)
(.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) #s(literal 1 binary64))
#s(approx (- (* (* x 3) y) z) (/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y))
(.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))

Outputs
(exp.f64 (log.f64 (.f64 x (.f64 y #s(literal 3 binary64)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (*.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 y #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) y) (neg.f64 (.f64 x (.f64 y #s(literal 3 binary64)))))
(neg.f64 (neg.f64 (.f64 x (.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x (.f64 #s(literal 9 binary64) y))))
(/.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 y #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 x (*.f64 y y)) #s(literal -3 binary64)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y))))))
(/.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -9 binary64)) (neg.f64 (.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y))) y)
(/.f64 (/.f64 (.f64 (.f64 x (*.f64 y y)) #s(literal -3 binary64)) #s(literal -1 binary64)) y)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y #s(literal 3 binary64))))) (.f64 (neg.f64 y) #s(literal 1 binary64))) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 y #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (neg.f64 y) (.f64 (.f64 x (.f64 y y)) #s(literal -3 binary64)))) (.f64 (neg.f64 y) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 x (.f64 y y))))) (.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (neg.f64 y) (/.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -3 binary64)) #s(literal 1 binary64)))) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 x (*.f64 y y)) #s(literal -3 binary64)) #s(literal -1 binary64))) (neg.f64 y))
(pow.f64 (.f64 x (.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (.f64 x (.f64 #s(literal 9 binary64) y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 3 binary64) (.f64 x (.f64 #s(literal 9 binary64) y))) (/.f64 #s(literal 3 binary64) (.f64 x (*.f64 #s(literal 9 binary64) y)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (.f64 x (.f64 y #s(literal 3 binary64)))))) #s(literal -1 binary64))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 9 binary64) (.f64 (.f64 y y) (/.f64 x (.f64 y #s(literal 3 binary64)))))
(.f64 #s(literal 9 binary64) (.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal 1/3 binary64) y)))
(.f64 #s(literal 9 binary64) (.f64 x (/.f64 (.f64 y y) (.f64 y #s(literal 3 binary64)))))
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 y (.f64 (.f64 #s(literal 9 binary64) y) (/.f64 x (.f64 y #s(literal 3 binary64)))))
(.f64 y (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 y (exp.f64 (log.f64 (.f64 x #s(literal 3 binary64)))))
(.f64 (.f64 y y) (.f64 #s(literal 9 binary64) (/.f64 x (.f64 y #s(literal 3 binary64)))))
(.f64 (.f64 y y) (.f64 (.f64 x #s(literal 9 binary64)) (/.f64 #s(literal 1/3 binary64) y)))
(.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (/.f64 x (.f64 y #s(literal 3 binary64))))
(.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 3 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 y #s(literal 3 binary64))))
(.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (/.f64 #s(literal 1/3 binary64) y))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 #s(literal 9 binary64) y)))
(.f64 #s(literal 1/3 binary64) (.f64 (.f64 (.f64 x (*.f64 y y)) #s(literal -9 binary64)) (/.f64 #s(literal -1 binary64) y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (pow.f64 (.f64 x y) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 3 binary64) (.f64 x (.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x (.f64 y y))))))
(.f64 (.f64 x #s(literal 9 binary64)) (/.f64 (.f64 y y) (.f64 y #s(literal 3 binary64))))
(.f64 (.f64 #s(literal 9 binary64) y) (.f64 y (/.f64 x (.f64 y #s(literal 3 binary64)))))
(.f64 (.f64 #s(literal 9 binary64) y) (.f64 (.f64 x y) (/.f64 #s(literal 1/3 binary64) y)))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 (.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))
(.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (*.f64 y #s(literal 3 binary64)))))
(.f64 #s(literal -1/3 binary64) (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 #s(literal 0 binary64) y) (.f64 x (*.f64 #s(literal 9 binary64) y))))
(.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 y (.f64 (.f64 x (.f64 y y)) #s(literal -9 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (.f64 x (.f64 y y)) #s(literal -3 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y y)) #s(literal -3 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -9 binary64)) (/.f64 #s(literal -1/3 binary64) y))
(.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -9 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) y)))
(.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) y))
(.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 9 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (*.f64 y y) #s(literal 3 binary64)) (/.f64 x y))
(.f64 (.f64 (.f64 y y) #s(literal 3 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 (.f64 x (*.f64 #s(literal 9 binary64) y)) #s(literal 1/3 binary64))
(.f64 (.f64 x (.f64 #s(literal 9 binary64) y)) (.f64 y (/.f64 #s(literal 1/3 binary64) y)))
(.f64 (/.f64 x (.f64 y #s(literal 3 binary64))) (.f64 #s(literal 9 binary64) (.f64 y y)))
(.f64 (/.f64 (.f64 y y) (.f64 y #s(literal 3 binary64))) (.f64 x #s(literal 9 binary64)))
(.f64 (.f64 x (.f64 y y)) (.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/3 binary64) y)))
(.f64 (.f64 #s(literal 3 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x (.f64 y y))))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) y))
(.f64 (/.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(.f64 (pow.f64 (.f64 x (.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (.f64 (.f64 y y) #s(literal 3 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 9 binary64) (.f64 y y))) (*.f64 x #s(literal 1/3 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 9 binary64))) (.f64 y (*.f64 y #s(literal 1/3 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/3 binary64))) (.f64 #s(literal 9 binary64) (*.f64 y y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) #s(literal 3 binary64))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 3 binary64))) (.f64 y y))
(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 9 binary64)) (.f64 x (.f64 y y)))
(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x #s(literal 9 binary64))) (.f64 y y))
(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 #s(literal 9 binary64) y)) (.f64 x y))
(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x (.f64 y y))) #s(literal 9 binary64))
(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x (.f64 #s(literal 9 binary64) y))) y)
(.f64 (pow.f64 x #s(literal 1 binary64)) (.f64 y #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) y)
(.f64 (pow.f64 (.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y y)) #s(literal -3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y y)) #s(literal -9 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 3 binary64)))) y)
(.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (.f64 y #s(literal 3 binary64)))))
(.f64 (exp.f64 (log.f64 (.f64 y #s(literal 3 binary64)))) (exp.f64 (log.f64 x)))
(.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (.f64 x y))))
(.f64 (exp.f64 (log.f64 (.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (*.f64 y y)) #s(literal -3 binary64)))
(neg.f64 (.f64 (.f64 x (*.f64 y y)) #s(literal -3 binary64)))
(.f64 x (.f64 (*.f64 y y) #s(literal 3 binary64)))
(.f64 x (.f64 (*.f64 y #s(literal 3 binary64)) y))
(.f64 #s(literal 9 binary64) (.f64 (.f64 y y) (.f64 x #s(literal 1/3 binary64))))
(.f64 #s(literal 9 binary64) (.f64 (.f64 x (.f64 y y)) #s(literal 1/3 binary64)))
(.f64 #s(literal 9 binary64) (.f64 x (.f64 y (.f64 y #s(literal 1/3 binary64)))))
(.f64 y (.f64 x (*.f64 y #s(literal 3 binary64))))
(.f64 y (.f64 (.f64 #s(literal 9 binary64) y) (.f64 x #s(literal 1/3 binary64))))
(.f64 (.f64 y y) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 y y) (.f64 #s(literal 9 binary64) (.f64 x #s(literal 1/3 binary64))))
(.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 x #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))))
(.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x (.f64 y y))))
(.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))
(.f64 #s(literal 1/3 binary64) (neg.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -9 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 y y))
(.f64 (.f64 x (*.f64 y #s(literal 3 binary64))) y)
(.f64 (.f64 x #s(literal 9 binary64)) (.f64 y (.f64 y #s(literal 1/3 binary64))))
(.f64 (.f64 x #s(literal 9 binary64)) (.f64 (.f64 y (*.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 9 binary64) y) (.f64 y (.f64 x #s(literal 1/3 binary64))))
(.f64 (.f64 #s(literal 9 binary64) y) (.f64 (.f64 x y) #s(literal 1/3 binary64)))
(.f64 (.f64 y #s(literal 3 binary64)) (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 y y)) #s(literal -3 binary64)))
(.f64 #s(literal -1/3 binary64) (.f64 (.f64 x (.f64 y y)) #s(literal -9 binary64)))
(.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -9 binary64)) #s(literal -1/3 binary64))
(.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 #s(literal 9 binary64) (.f64 y y)))
(.f64 (.f64 (*.f64 y y) #s(literal 3 binary64)) x)
(.f64 (.f64 x y) (*.f64 y #s(literal 3 binary64)))
(.f64 (.f64 x (.f64 #s(literal 9 binary64) y)) (.f64 y #s(literal 1/3 binary64)))
(.f64 (.f64 y (.f64 y #s(literal 1/3 binary64))) (.f64 x #s(literal 9 binary64)))
(.f64 (.f64 x (*.f64 y y)) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (.f64 x (.f64 y y))) #s(literal 1 binary64))
(.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -9 binary64))) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 9 binary64) y)) (.f64 x y))
(.f64 (.f64 y (*.f64 y #s(literal 3 binary64))) x)
(.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 #s(literal 9 binary64) (*.f64 y y)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (.f64 y y))
(.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 y y))) #s(literal 9 binary64))
(.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) y) (.f64 #s(literal 9 binary64) y))
(.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 y y)) #s(literal 9 binary64))
(.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 9 binary64) (*.f64 y y)))
(.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 #s(literal 9 binary64) y)) y)
(.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))
(.f64 #s(literal 9 binary64) (.f64 x (*.f64 y y)))
(.f64 #s(literal 9 binary64) (.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64)))
(.f64 y (.f64 x (*.f64 #s(literal 9 binary64) y)))
(.f64 y (.f64 #s(literal 3 binary64) (.f64 x (.f64 y #s(literal 3 binary64)))))
(.f64 (.f64 y y) (*.f64 x #s(literal 9 binary64)))
(.f64 (.f64 #s(literal 9 binary64) (*.f64 y y)) x)
(.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))
(.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 x (.f64 y y))))
(.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 9 binary64)) (*.f64 y y))
(.f64 (.f64 #s(literal 9 binary64) y) (*.f64 x y))
(.f64 (.f64 #s(literal 9 binary64) y) (.f64 (.f64 x y) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal 3 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))))
(.f64 (.f64 x y) (*.f64 #s(literal 9 binary64) y))
(.f64 (.f64 x (*.f64 #s(literal 9 binary64) y)) y)
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 3 binary64) (.f64 x (.f64 y y))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) y)) (.f64 x y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) #s(literal 9 binary64))
(.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (.f64 x y))
(.f64 (.f64 (.f64 y #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64))) y)
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 y #s(literal 3 binary64))))
(.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))
(.f64 #s(literal 9 binary64) (.f64 x (*.f64 y y)))
(.f64 #s(literal 9 binary64) (.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64)))
(.f64 y (.f64 x (*.f64 #s(literal 9 binary64) y)))
(.f64 y (.f64 #s(literal 3 binary64) (.f64 x (.f64 y #s(literal 3 binary64)))))
(.f64 (.f64 y y) (*.f64 x #s(literal 9 binary64)))
(.f64 (.f64 #s(literal 9 binary64) (*.f64 y y)) x)
(.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))
(.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 x (.f64 y y))))
(.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 9 binary64)) (*.f64 y y))
(.f64 (.f64 #s(literal 9 binary64) y) (*.f64 x y))
(.f64 (.f64 #s(literal 9 binary64) y) (.f64 (.f64 x y) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal 3 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))))
(.f64 (.f64 x y) (*.f64 #s(literal 9 binary64) y))
(.f64 (.f64 x (*.f64 #s(literal 9 binary64) y)) y)
(.f64 (.f64 x (*.f64 y y)) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 3 binary64) (.f64 x (.f64 y y))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) y)) (.f64 x y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) #s(literal 9 binary64))
(.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (.f64 x y))
(.f64 (.f64 (.f64 y #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64))) y)

eval34.0ms (0.4%)

Memory: 1.0MiB live, 78.3MiB allocated
Compiler: Compiled 3 774 to 481 computations (87.3% saved)

prune58.0ms (0.7%)

Memory

-52.7MiB live, 96.4MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	326	1	327
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	327	6	333

Accuracy

100.0%

Counts

333 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	47.7%	#s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 #s(literal 3 binary64) (.f64 x y)))
	47.6%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x (*.f64 #s(literal 9 binary64) y)) #s(literal 1/3 binary64)))
✓	47.3%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
✓	47.8%	#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
✓	54.3%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 162 to 79 computations (51.2% saved)

regimes26.0ms (0.3%)

Memory

16.5MiB live, 54.8MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
#s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 #s(literal 3 binary64) (.f64 x y)))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x (*.f64 #s(literal 9 binary64) y)) #s(literal 1/3 binary64)))
#s(approx (- (* (* x 3) y) z) (/.f64 (.f64 (.f64 (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) #s(literal 0 binary64)) (.f64 x (.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)))))

Outputs
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))

Calls

6 calls:

6.0ms	y
4.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
4.0ms	(*.f64 x #s(literal 3 binary64))
4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.9%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes19.0ms (0.2%)

Memory

-0.7MiB live, 40.4MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
#s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 #s(literal 3 binary64) (.f64 x y)))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)

Outputs
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)

Calls

6 calls:

5.0ms	z
3.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.9%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes16.0ms (0.2%)

Memory

9.1MiB live, 47.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
#s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 #s(literal 3 binary64) (.f64 x y)))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Calls

6 calls:

4.0ms	z
2.0ms	x
2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`z`
99.4%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.4%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.4%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes14.0ms (0.2%)

Memory

-8.7MiB live, 30.5MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
#s(approx (/ 1 (/ (neg (+ (* 3 (* x y)) z)) (- (* z z) (* (* (* x x) 9) (* y y))))) (.f64 #s(literal 3 binary64) (.f64 x y)))

Outputs
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))

Calls

6 calls:

3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	(.f64 (.f64 x #s(literal 3 binary64)) y)
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
76.4%	3	`x`
78.5%	3	`y`
75.1%	3	`z`
69.2%	3	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
83.2%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
76.4%	3	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes8.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Calls

6 calls:

1.0ms	(.f64 (.f64 x #s(literal 3 binary64)) y)
1.0ms	(*.f64 x #s(literal 3 binary64))
1.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
54.3%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
54.3%	1	`z`
54.3%	1	`x`
54.3%	1	`(*.f64 x #s(literal 3 binary64))`
54.3%	1	`y`
54.3%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 36 to 27 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.621349560676058e+99	1.3167305677707302e+104
0.0ms	-6.574991205854957e+60	-2.6528159399761563e+45

Compiler

Compiled 13 to 13 computations (0% saved)

simplify363.0ms (4.4%)

Memory

-25.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	83
1	37	83
2	41	83
3	42	83

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -4999999999999999746935676485370094334818225055067050365419520 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y))) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Outputs
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 y (.f64 x #s(literal 3 binary64))) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -4999999999999999746935676485370094334818225055067050365419520 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y))) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))))
(if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal -4999999999999999746935676485370094334818225055067050365419520 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 y #s(literal 3 binary64)))) (if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 y #s(literal 3 binary64))))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

soundness577.0ms (7%)

Memory

17.5MiB live, 280.9MiB allocated

Rules

10 502×	`lower-fma.f64`
10 502×	`lower-fma.f32`
4 312×	`lower-*.f32`
4 308×	`lower-*.f64`
3 816×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	378
1	118	378
2	331	378
3	833	378
4	2352	378
5	4041	378
6	5990	378
7	7425	378
8	7937	378
0	8002	378
0	7	15
0	10	15
1	28	15
2	184	15
3	1862	15
0	8723	15

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 110 to 54 computations (50.9% saved)

preprocess144.0ms (1.7%)

Memory: 6.1MiB live, 146.7MiB allocated
Remove: (sort x y)
Compiler: Compiled 196 to 96 computations (51% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

analyze0.0ms (0%)

sample1.2s (14.1%)

preprocess67.0ms (0.8%)

explain98.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize40.0ms (0.5%)

series6.0ms (0.1%)

simplify166.0ms (2%)

rewrite769.0ms (9.3%)

eval39.0ms (0.5%)

prune39.0ms (0.5%)

simplify201.0ms (2.4%)

localize117.0ms (1.4%)

series25.0ms (0.3%)

simplify316.0ms (3.8%)

rewrite507.0ms (6.2%)

eval274.0ms (3.3%)

prune210.0ms (2.6%)

simplify556.0ms (6.7%)

localize99.0ms (1.2%)

series11.0ms (0.1%)

simplify264.0ms (3.2%)

rewrite579.0ms (7%)

eval224.0ms (2.7%)

prune272.0ms (3.3%)

simplify167.0ms (2%)

localize46.0ms (0.6%)

series3.0ms (0%)

simplify233.0ms (2.8%)

rewrite462.0ms (5.6%)

eval34.0ms (0.4%)

prune58.0ms (0.7%)

regimes26.0ms (0.3%)

regimes19.0ms (0.2%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

simplify363.0ms (4.4%)

soundness577.0ms (7%)

preprocess144.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19