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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

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)

sample635.0ms (12.4%)

Memory

46.3MiB live, 803.3MiB allocated

Samples

375.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-mult: 113.0ms (69.2% of total)

ival-sub: 37.0ms (22.7% of total)

ival-true: 6.0ms (3.7% of total)

exact: 4.0ms (2.5% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain79.0ms (1.5%)

Memory

-17.1MiB live, 111.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (51.5% of total)

ival-sub: 6.0ms (44.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess61.0ms (1.2%)

Memory

11.6MiB live, 48.6MiB 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)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))

Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify15.0ms (0.3%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) y)
cost-diff	0	(-.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)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 y (.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
z

localize23.0ms (0.4%)

Memory

-2.2MiB live, 34.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.0078125	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
accuracy	0.22265625	(.f64 (.f64 x #s(literal 3 binary64)) y)

Samples

18.0ms

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 (62.1% of total)

ival-sub: 1.0ms (20.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())

#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify115.0ms (2.2%)

Memory

-14.3MiB live, 120.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 552×	`lower-fma.f64`
3 552×	`lower-fma.f32`
2 734×	`lower-*.f64`
2 734×	`lower-*.f32`
1 562×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	378
1	118	378
2	334	378
3	838	378
4	2379	378
5	4087	378
6	6030	378
7	7461	378
8	7976	378
0	8001	378

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite191.0ms (3.7%)

Memory

-9.6MiB live, 300.1MiB 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	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
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eval38.0ms (0.7%)

Memory: 1.7MiB live, 77.2MiB allocated
Compiler: Compiled 10 183 to 716 computations (93% saved)

prune41.0ms (0.8%)

Memory

-19.4MiB live, 26.4MiB 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
▶	64.6%	(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)))))
▶	99.9%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
▶	99.9%	(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	47.9%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
▶	54.1%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 107 to 89 computations (16.8% saved)

simplify840.0ms (16.4%)

Memory

10.5MiB live, 209.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 9 binary64) (.f64 x x))
cost-diff	0	(.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) y)
cost-diff	1408	(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)))))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) #s(literal 3 binary64))
cost-diff	0	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
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 y x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))

Rules

17 440×	`lower-fma.f32`
17 432×	`lower-fma.f64`
3 424×	`lower-*.f32`
3 408×	`lower-*.f64`
1 612×	`distribute-lft-neg-in`

Iterations

Useful iterations: 16 (0.0ms)

Iter	Nodes	Cost
0	26	162
0	45	162
1	86	162
2	151	162
3	344	162
4	791	162
5	1698	162
6	3420	157
7	4748	157
8	5902	157
9	6026	157
10	6047	157
11	6053	157
12	6704	157
13	6893	157
14	6893	157
15	6893	157
16	6893	155
17	6983	155
18	7209	155
19	7304	155
20	7304	155
21	7304	155
22	7574	155
0	8110	155

Stop Event

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

Calls

Call 1

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

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

localize458.0ms (8.9%)

Memory

23.4MiB live, 139.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	2.9435837315135243	(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy	7.140814194758686	(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy	8.812987404054697	(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)))))
accuracy	9.083747032373891	(.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) y)
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0	(neg.f64 z)
accuracy	0.08984375	(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
accuracy	0	(*.f64 y x)
accuracy	0.2265625	(.f64 (.f64 y x) #s(literal 3 binary64))
accuracy	33.23016555644143	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
accuracy	0	(neg.f64 z)
accuracy	29.398495808790084	#s(approx (- (* (* x 3) y) z) (neg.f64 z))
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	0.0859375	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))

Samples

441.0ms

256×

valid

Compiler

Compiled 165 to 29 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 18.0ms (51% of total)

ival-div: 9.0ms (25.5% of total)

ival-add: 4.0ms (11.3% of total)

ival-neg: 2.0ms (5.7% of total)

ival-sub: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series77.0ms (1.5%)

Memory

-24.5MiB live, 91.5MiB allocated

Counts

14 → 372

Calls

Call 1

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

Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ z (* x y))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 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))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
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#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ z (* x y))) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	z	@	0	((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)))
11.0ms	x	@	0	((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)))
3.0ms	y	@	-inf	((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)))
3.0ms	x	@	inf	((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)))
3.0ms	y	@	inf	((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)))

simplify267.0ms (5.2%)

Memory

16.8MiB live, 174.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 116×	`lower-fma.f64`
6 116×	`lower-fma.f32`
5 188×	`lower-*.f64`
5 188×	`lower-*.f32`
2 118×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	563	3649
1	1797	3509
2	5982	3399
0	8222	3281

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

Outputs
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (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))
(.f64 (.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))
(fma.f64 (/.f64 z (.f64 (.f64 x x) y)) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) x))
(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (.f64 y y)) (/.f64 #s(literal -1/9 binary64) (.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1/3 binary64) x))
(+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y))) z (/.f64 #s(literal -1/9 binary64) (.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1/3 binary64) x))
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) z)
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(.f64 (fma.f64 (/.f64 (/.f64 z (.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 (.f64 x x) y) y))) z (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(* z (+ (* 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)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 (.f64 x x) y) y))) z (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) 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)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal 9 binary64) z) (.f64 x (/.f64 (.f64 (.f64 y y) x) z)) (/.f64 (fma.f64 (.f64 x (/.f64 (.f64 (.f64 y y) x) z)) #s(literal -9 binary64) (.f64 (*.f64 y x) #s(literal 3 binary64))) z)) #s(literal 1 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)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(.f64 (-.f64 (fma.f64 (.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (.f64 x (/.f64 (.f64 (.f64 y y) x) z)) #s(literal -9 binary64) (.f64 (.f64 y x) #s(literal 3 binary64))) z) (fma.f64 (/.f64 #s(literal 9 binary64) z) (.f64 x (/.f64 (.f64 (.f64 y y) x) z)) (.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))) #s(literal 1 binary64)) z)
(/ y z)
(/.f64 y z)
(/ (+ y (* -3 (/ (* x (pow y 2)) z))) z)
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) x) z) #s(literal -3 binary64) y) z)
(/ (- (+ y (* 9 (/ (* (pow x 2) (pow y 3)) (pow z 2)))) (* 3 (/ (* x (pow y 2)) z))) z)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3 binary64) y) y) x (.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) z) y) z)
(/ (- (+ y (* -27 (/ (* (pow x 3) (pow y 4)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* 3 (/ (* x (pow y 2)) z)))) z)
(/.f64 (fma.f64 (.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3 binary64) y) y) x (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) z) y)) z)
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (/.f64 (.f64 (.f64 y y) x) z)) #s(literal -9 binary64) (.f64 (*.f64 y x) #s(literal 3 binary64))) z))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(-.f64 (fma.f64 (.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 x (/.f64 (.f64 (.f64 y y) x) z)) #s(literal -9 binary64) (.f64 (.f64 y x) #s(literal 3 binary64))) z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) 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 (+ 1 (* -3 (/ (* x y) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(/ y z)
(/.f64 y z)
(* -1 (/ (+ (* -1 y) (* 3 (/ (* x (pow y 2)) z))) z))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) x) z) #s(literal 3 binary64) (neg.f64 y)) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 3)) z)) (* 3 (* x (pow y 2)))) z))) z))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3 binary64) y) y) x (.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) z) y) z)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 4)) z)) (* 9 (* (pow x 2) (pow y 3)))) z)) (* 3 (* x (pow y 2)))) z))) z))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3 binary64) y) y) x (/.f64 (fma.f64 (.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 x x) (.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) z))) (neg.f64 z))) z) y) z)
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (/.f64 (.f64 (.f64 y y) x) z)) #s(literal -9 binary64) (.f64 (*.f64 y x) #s(literal 3 binary64))) z))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y (/.f64 (fma.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 x x) (.f64 (.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (neg.f64 z))) z))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* 9 (* (pow x 2) y))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) y))
(* 9 (* (pow x 2) y))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) y))
(* 9 (* (pow x 2) y))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) y))
(* 9 (* (pow x 2) y))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) y))
(/ y z)
(/.f64 y z)
(* y (+ (* -3 (/ (* x y) (pow z 2))) (/ 1 z)))
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(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))) (/.f64 z x)) x)
(* 9 (* (pow x 2) y))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) y))
(* 9 (* (pow x 2) y))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) y))
(* 9 (* (pow x 2) y))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) y))
(* 9 (* (pow x 2) y))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) y))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* -1/9 (/ z (* x y)))) x)
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) x)
(/ (- (+ 1/3 (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* 1/9 (/ z (* x y)))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (.f64 y y)) (.f64 z (/.f64 z x)) (*.f64 (/.f64 z y) #s(literal -1/9 binary64))) x) #s(literal 1/3 binary64)) x)
(/ (- (+ 1/3 (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 1/9 (/ z (* x y))))) x)
(/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/81 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (.f64 y y)) (.f64 z (/.f64 z x)) (*.f64 (/.f64 z y) #s(literal -1/9 binary64))) x)) #s(literal 1/3 binary64)) x)
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) z)
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/.f64 (fma.f64 (/.f64 z x) #s(literal 1/3 binary64) (.f64 (.f64 z (/.f64 z (.f64 (.f64 x x) y))) #s(literal -1/9 binary64))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(literal -1/9 binary64) z) z) (*.f64 y y))) x)) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(literal -1/9 binary64) z) z) (*.f64 y y))) x))) x)
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* 9 (* (pow x 2) y))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) y))
(* 9 (* (pow x 2) y))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) y))
(* 9 (* (pow x 2) y))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) y))
(* 9 (* (pow x 2) y))
(.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) y))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x))
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x))
(/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (.f64 y y)) (.f64 z (/.f64 z x)) (*.f64 (/.f64 z y) #s(literal -1/9 binary64))) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal -1/27 binary64) (.f64 z z)) (.f64 y y))) x) (.f64 (/.f64 z y) #s(literal 1/9 binary64))) x) #s(literal -1 binary64) #s(literal 1/3 binary64)) x)
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) z)
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 (/.f64 z y) (/.f64 z y)) (.f64 #s(literal -1/3 binary64) (/.f64 z y))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(literal -1/9 binary64) z) z) (*.f64 y y))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/27 binary64))) x) (.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (*.f64 z z) y))) x)) (neg.f64 x))

rewrite163.0ms (3.2%)

Memory

8.4MiB live, 126.8MiB allocated

Rules

4 600×	`lower-fma.f32`
4 592×	`lower-fma.f64`
3 130×	`lower-*.f32`
3 114×	`lower-*.f64`
2 030×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	108
0	45	88
1	168	88
2	931	81
0	9413	81

Stop Event

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

Counts

14 → 1 169

Calls

Call 1

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

Outputs
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eval324.0ms (6.3%)

Memory: 4.1MiB live, 450.9MiB allocated
Compiler: Compiled 50 416 to 1 870 computations (96.3% saved)

prune47.0ms (0.9%)

Memory

-5.6MiB live, 152.4MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 623	4	1 627
Fresh	0	0	0
Picked	2	3	5
Done	1	0	1
Total	1 626	7	1 633

Accuracy

100.0%

Counts

1 633 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
▶	46.6%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
✓	47.9%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
▶	47.9%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x))
▶	47.9%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
✓	54.1%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))
▶	2.0%	#s(approx (- (* (* x 3) y) z) z)

Compiler

Compiled 36 to 43 computations (-19.4% saved)

simplify21.0ms (0.4%)

Memory

-8.7MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
cost-diff	0	(*.f64 #s(literal 3 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) y) x)
cost-diff	0	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x))
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x) y)
cost-diff	0	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
cost-diff	0	#s(approx (- (* (* x 3) y) z) z)

Rules

400×	`lower-fma.f32`
398×	`lower-fma.f64`
240×	`lower-*.f32`
230×	`lower-*.f64`
102×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	71
0	23	71
1	36	71
2	41	71
3	47	71
4	75	71
5	124	71
6	205	71
7	329	71
8	430	71
9	464	71
10	484	71
11	486	71
0	486	71

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (0.9%)

Memory

-19.5MiB live, 81.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.125	(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.20703125	(.f64 (.f64 #s(literal 3 binary64) y) x)
accuracy	33.23016555644143	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.22265625	(.f64 (.f64 #s(literal 3 binary64) x) y)
accuracy	33.23016555644143	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
accuracy	62.703738215882815	#s(approx (- (* (* x 3) y) z) z)

Samples

35.0ms

256×

valid

Compiler

Compiled 60 to 16 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 20.0ms (87% of total)

ival-sub: 1.0ms (4.4% of total)

ival-add: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

9 → 240

Calls

Call 1

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

Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
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#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) x) (patch (.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 3 y) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 3 y) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 3 y) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) x) (patch (.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) x) (patch (.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) x) (patch (.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) x) (patch (.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify91.0ms (1.8%)

Memory

13.6MiB live, 88.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 918×	`lower-fma.f64`
3 918×	`lower-fma.f32`
2 490×	`lower-*.f64`
2 490×	`lower-*.f32`
1 130×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	1268
1	169	1268
2	498	1268
3	1202	1268
4	3109	1268
5	6268	1268
0	8215	1241

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 236

Calls

Call 1

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

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

rewrite191.0ms (3.7%)

Memory

-14.1MiB live, 258.2MiB allocated

Rules

9 188×	`lower-fma.f32`
9 186×	`lower-fma.f64`
5 578×	`lower-*.f32`
5 568×	`lower-*.f64`
4 146×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
0	23	60
1	62	60
2	295	60
3	3954	60
0	9636	60

Stop Event

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

Counts

9 → 368

Calls

Call 1

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

Outputs
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eval335.0ms (6.5%)

Memory: 6.9MiB live, 158.4MiB allocated
Compiler: Compiled 15 085 to 985 computations (93.5% saved)

prune25.0ms (0.5%)

Memory

23.9MiB live, 60.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	604	0	604
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	604	7	611

Accuracy

100.0%

Counts

611 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
✓	46.6%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
✓	47.9%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
✓	47.9%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x))
✓	47.9%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
✓	54.1%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))
✓	2.0%	#s(approx (- (* (* x 3) y) z) z)

Compiler

Compiled 113 to 76 computations (32.7% saved)

regimes25.0ms (0.5%)

Memory

7.4MiB live, 44.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

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 18 to 27 computations (-50% saved)

regimes50.0ms (1%)

Memory

-32.0MiB live, 56.0MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

6 calls:

30.0ms	(*.f64 x #s(literal 3 binary64))
7.0ms	z
3.0ms	y
3.0ms	(.f64 (.f64 x #s(literal 3 binary64)) y)
3.0ms	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 18 to 27 computations (-50% saved)

regimes21.0ms (0.4%)

Memory

-1.7MiB live, 33.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	x
3.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	z
3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
3.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.8%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.8%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes17.0ms (0.3%)

Memory

-4.2MiB live, 34.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
77.4%	3	`x`
76.2%	3	`y`
73.9%	3	`z`
66.1%	3	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
84.0%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
77.4%	3	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes2.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
84.0%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 5 to 6 computations (-20% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
84.0%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 5 to 6 computations (-20% saved)

regimes13.0ms (0.3%)

Memory

-19.6MiB live, 27.9MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
2.0ms	x
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
54.1%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
54.1%	1	`z`
54.1%	1	`y`
54.1%	1	`x`
54.1%	1	`(*.f64 x #s(literal 3 binary64))`
54.1%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes8.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
2.0%	1	`y`
2.0%	1	`x`
2.0%	1	`z`
2.0%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
2.0%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
2.0%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.323711772398356e-80	9.303488798655171e-63
0.0ms	-2.119692526894557e+51	-6.491334605983352e+50

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.323711772398356e-80	9.303488798655171e-63
0.0ms	-2.119692526894557e+51	-6.491334605983352e+50

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.323711772398356e-80	9.303488798655171e-63
0.0ms	-2.119692526894557e+51	-6.491334605983352e+50

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify25.0ms (0.5%)

Memory

7.0MiB live, 45.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	196
1	46	196
2	49	196
3	50	196

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 1668739871813211/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 1668739871813211/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 1668739871813211/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) z)

Outputs
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 (.f64 #s(literal 3 binary64) x) y) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 1668739871813211/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) x) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) x) y) #s(literal 1668739871813211/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 1668739871813211/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) x) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) x) y) #s(literal 1668739871813211/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 1668739871813211/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) x) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) x) y) #s(literal 1668739871813211/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) z)

soundness803.0ms (15.7%)

Memory

-12.0MiB live, 455.3MiB allocated

Rules

10 502×	`lower-fma.f64`
10 502×	`lower-fma.f32`
4 600×	`lower-fma.f32`
4 592×	`lower-fma.f64`
4 312×	`lower-*.f32`

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
0	26	108
0	45	88
1	168	88
2	931	81
0	9413	81
0	38	378
1	118	378
2	334	378
3	838	378
4	2379	378
5	4087	378
6	6030	378
7	7461	378
8	7976	378
0	8001	378

Stop Event

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

Compiler

Compiled 198 to 119 computations (39.9% saved)

preprocess56.0ms (1.1%)

Memory: 10.5MiB live, 127.2MiB allocated
Remove: (sort x y)
Compiler: Compiled 322 to 142 computations (55.9% 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	16	71
0	23	71
1	36	71
2	41	71
3	47	71
4	75	71
5	124	71
6	205	71
7	329	71
8	430	71
9	464	71
10	484	71
11	486	71
0	486	71

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	16	71
0	23	71
1	36	71
2	41	71
3	47	71
4	75	71
5	124	71
6	205	71
7	329	71
8	430	71
9	464	71
10	484	71
11	486	71
0	486	71

start0.0ms (0%)

analyze0.0ms (0%)

sample635.0ms (12.4%)

explain79.0ms (1.5%)

preprocess61.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify15.0ms (0.3%)

localize23.0ms (0.4%)

series7.0ms (0.1%)

simplify115.0ms (2.2%)

rewrite191.0ms (3.7%)

eval38.0ms (0.7%)

prune41.0ms (0.8%)

simplify840.0ms (16.4%)

localize458.0ms (8.9%)

series77.0ms (1.5%)

simplify267.0ms (5.2%)

rewrite163.0ms (3.2%)

eval324.0ms (6.3%)

prune47.0ms (0.9%)

simplify21.0ms (0.4%)

localize44.0ms (0.9%)

series10.0ms (0.2%)

simplify91.0ms (1.8%)

rewrite191.0ms (3.7%)

eval335.0ms (6.5%)

prune25.0ms (0.5%)

regimes25.0ms (0.5%)

regimes50.0ms (1%)

regimes21.0ms (0.4%)

regimes17.0ms (0.3%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes13.0ms (0.3%)

regimes8.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify25.0ms (0.5%)

soundness803.0ms (15.7%)

preprocess56.0ms (1.1%)

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

Iter	Nodes	Cost
0	16	71
0	23	71
1	36	71
2	41	71
3	47	71
4	75	71
5	124	71
6	205	71
7	329	71
8	430	71
9	464	71
10	484	71
11	486	71
0	486	71