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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample623.0ms (9.5%)

Memory

9.0MiB live, 780.8MiB allocated

Samples

375.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 114.0ms (67.7% of total)

ival-sub: 42.0ms (25% of total)

ival-true: 5.0ms (3% of total)

exact: 5.0ms (3% of total)

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

Bogosity

explain65.0ms (1%)

Memory

6.4MiB live, 121.6MiB 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

26.0ms

512×

valid

Compiler

Compiled 68 to 38 computations (44.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (70.4% of total)

ival-sub: 2.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess45.0ms (0.7%)

Memory

4.0MiB live, 46.6MiB 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)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify17.0ms (0.3%)

Memory

-19.5MiB live, 18.4MiB 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

localize17.0ms (0.3%)

Memory

35.9MiB live, 35.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.00390625	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
accuracy	0.20703125	(.f64 (.f64 x #s(literal 3 binary64)) y)

Samples

12.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-mult: 3.0ms (61.9% of total)

ival-sub: 1.0ms (20.6% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-22.3MiB live, 13.4MiB 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	@	0	((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms	x	@	-inf	((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms	y	@	0	((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))

simplify117.0ms (1.8%)

Memory

16.5MiB live, 93.5MiB 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))

rewrite210.0ms (3.2%)

Memory

-53.8MiB live, 303.1MiB 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
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (.f64 z (.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) #s(literal 19683 binary64) (pow.f64 z #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (.f64 z (.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z) (fma.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z (neg.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))))))
(.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 z (-.f64 z (.f64 y (.f64 #s(literal 3 binary64) x))))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (pow.f64 (fma.f64 z z (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (.f64 z (.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) #s(literal 19683 binary64) (pow.f64 z #s(literal 9 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (.f64 z (.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #s(literal 2 binary64)) (pow.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (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 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))))))
(.f64 (fma.f64 z z (neg.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 #s(literal 3 binary64) x) z)))
(.f64 (-.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (pow.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 z (/.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (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 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))))))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 9 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (.f64 z (.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)))))) (/.f64 (pow.f64 z #s(literal 9 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (.f64 z (.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (fma.f64 z z (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))) (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))) (fma.f64 y (.f64 #s(literal 3 binary64) x) z)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (.f64 z (.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (.f64 z (.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (fma.f64 y (.f64 #s(literal 3 binary64) x) z)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 z (.f64 y (.f64 #s(literal 3 binary64) x)))))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 z (.f64 y (.f64 #s(literal 3 binary64) x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 9 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (.f64 z (.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 z z (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 z (.f64 y (.f64 #s(literal 3 binary64) x)))))) (/.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (.f64 z (.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 z z (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 z (.f64 y (.f64 #s(literal 3 binary64) x)))))))
(-.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 z z (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 z (.f64 y (.f64 #s(literal 3 binary64) x)))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 z (.f64 y (.f64 #s(literal 3 binary64) x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 9 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (.f64 z (.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) (/.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (.f64 z (.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z)))) (neg.f64 (-.f64 (.f64 y (*.f64 #s(literal 3 binary64) x)) z)))
(-.f64 (/.f64 (.f64 z z) (neg.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z))) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (neg.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z))) (neg.f64 (-.f64 (.f64 y (*.f64 #s(literal 3 binary64) x)) z)))
(-.f64 #s(literal 0 binary64) (-.f64 z (.f64 y (.f64 #s(literal 3 binary64) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) z)))
(-.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (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 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))))
(-.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) z)
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 y (*.f64 #s(literal 3 binary64) x)) z) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) z))
(+.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (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 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) z)))))
(+.f64 (neg.f64 z) (.f64 y (.f64 #s(literal 3 binary64) x)))
(+.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) (neg.f64 z))
(.f64 (exp.f64 (log.f64 (.f64 y x))) (exp.f64 (log.f64 #s(literal 3 binary64))))
(.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (.f64 y x))))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))))
(.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (.f64 y #s(literal 3 binary64)))))
(.f64 (exp.f64 (log.f64 (.f64 y #s(literal 3 binary64)))) (exp.f64 (log.f64 x)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 y)))
(.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal 3 binary64))
(.f64 (pow.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 y x) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 y (.f64 #s(literal 3 binary64) x))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 1 binary64)))
(.f64 #s(literal 3 binary64) (.f64 y x))
(.f64 x (.f64 y #s(literal 3 binary64)))
(pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 y (.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (+.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 0 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 0 binary64)))))
(fma.f64 (exp.f64 (log.f64 (*.f64 y x))) (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 y x))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64)))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x #s(literal 0 binary64))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) #s(literal 0 binary64))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) #s(literal 0 binary64))
(-.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 0 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal 3 binary64) x))))
(+.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 0 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))

eval38.0ms (0.6%)

Memory: 15.0MiB live, 88.3MiB allocated
Compiler: Compiled 10 183 to 716 computations (93% saved)

prune54.0ms (0.8%)

Memory

7.0MiB live, 119.3MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	321	7	328
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	321	8	329

Accuracy

100.0%

Counts

329 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.4%	(fma.f64 (.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) y) (/.f64 (.f64 #s(literal 3 binary64) x) (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)))))
▶	65.3%	(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)))))
▶	99.8%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
▶	99.8%	(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
	33.6%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z (.f64 y (.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 z (.f64 y (.f64 #s(literal 3 binary64) x))) (-.f64 z (.f64 y (.f64 #s(literal 3 binary64) x))) (.f64 #s(literal 0 binary64) (-.f64 z (.f64 y (*.f64 #s(literal 3 binary64) x)))))))
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	48.7%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
▶	53.2%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 241 to 143 computations (40.7% saved)

simplify385.0ms (5.9%)

Memory

5.7MiB live, 201.8MiB 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 x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (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 #s(literal 3 binary64))
cost-diff	0	(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))

Rules

17 440×	`lower-fma.f32`
17 432×	`lower-fma.f64`
3 424×	`lower-*.f32`
3 408×	`lower-*.f64`
1 580×	`distribute-lft-neg-in`

Iterations

Useful iterations: 16 (0.0ms)

Iter	Nodes	Cost
0	26	162
0	45	162
1	85	162
2	150	162
3	345	162
4	808	162
5	1718	162
6	3443	157
7	4765	157
8	5947	157
9	6071	157
10	6092	157
11	6098	157
12	6749	157
13	6938	157
14	6938	157
15	6938	157
16	6938	155
17	7028	155
18	7254	155
19	7349	155
20	7349	155
21	7349	155
22	7619	155
0	8155	155

Stop Event

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

Calls

Call 1

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

localize143.0ms (2.2%)

Memory

3.2MiB live, 140.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	3.150323066560007	(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy	6.456618789769031	(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy	7.985359965360574	(.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) y)
accuracy	8.805592088656976	(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	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	0.1328125	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
accuracy	0	(*.f64 y x)
accuracy	0.25390625	(.f64 (.f64 y x) #s(literal 3 binary64))
accuracy	32.6978527689779	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
accuracy	0	(neg.f64 z)
accuracy	29.923494703793168	#s(approx (- (* (* x 3) y) z) (neg.f64 z))
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0	(neg.f64 z)
accuracy	0.1171875	(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))

Samples

125.0ms

256×

valid

Compiler

Compiled 165 to 29 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 22.0ms (64.2% of total)

ival-add: 5.0ms (14.6% of total)

ival-div: 3.0ms (8.8% of total)

ival-neg: 2.0ms (5.8% of total)

ival-sub: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series426.0ms (6.5%)

Memory

-28.6MiB live, 47.7MiB allocated

Counts

14 → 372

Calls

Call 1

Inputs
#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 (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 (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#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 (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 #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 (* -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 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 (* 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 #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 (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 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>) () ())) ())
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#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 9 binary64) (.f64 x x)) (patch (.f64 #s(literal 9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 9 binary64) (.f64 x x)) (patch (.f64 #s(literal 9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 9 binary64) (.f64 x x)) (patch (.f64 #s(literal 9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 9 binary64) (.f64 x x)) (patch (.f64 #s(literal 9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#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
385.0ms	z	@	0	((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* (* (* 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)))
4.0ms	x	@	0	((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* (* (* 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 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* (* (* 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 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* (* (* 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 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* (* (* 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)))

simplify540.0ms (8.2%)

Memory

6.8MiB live, 158.3MiB 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)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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))
(* 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)
(- (* 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)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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))
(* 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)) (+ (* -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))))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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))
(* 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) (* -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)
(* -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))
(* 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)
(- (* 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)))
(* 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))
(* 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)) (+ (* -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))))
(* 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))
(* 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) (* -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))
(* 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))
(- (* 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))
(* x y)
(*.f64 y x)
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(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -27 binary64) x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (.f64 (/.f64 (.f64 y (/.f64 y z)) z) #s(literal 9 binary64))) x (.f64 #s(literal -3 binary64) (/.f64 y z))) x #s(literal 1 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)) (* 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)) (* 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))
(* 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)))
(*.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)))
(* 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))
(* 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) (* -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))

rewrite222.0ms (3.4%)

Memory

15.1MiB live, 293.8MiB 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	167	88
2	930	81
0	9411	81

Stop Event

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

Counts

14 → 1 169

Calls

Call 1

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

eval339.0ms (5.1%)

Memory: 5.4MiB live, 423.4MiB allocated
Compiler: Compiled 50 416 to 1 871 computations (96.3% saved)

prune146.0ms (2.2%)

Memory

42.1MiB live, 197.2MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 621	6	1 627
Fresh	2	0	2
Picked	2	3	5
Done	1	0	1
Total	1 626	9	1 635

Accuracy

100.0%

Counts

1 635 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(fma.f64 (/.f64 (.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 (.f64 x y) #s(literal 3 binary64) z)) (.f64 (/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) z))
▶	64.4%	(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 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))))
✓	99.8%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
▶	47.6%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
✓	48.7%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
▶	48.8%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
▶	48.7%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x))
✓	53.2%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))
▶	2.1%	#s(approx (- (* (* x 3) y) z) z)

Compiler

Compiled 158 to 127 computations (19.6% saved)

simplify381.0ms (5.8%)

Memory

-27.7MiB live, 152.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 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 x #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) y)
cost-diff	0	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
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	#s(approx (- (* (* x 3) y) z) z)
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	0	(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 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))))

Rules

3 592×	`lower-fma.f32`
3 586×	`lower-fma.f64`
3 096×	`lower-*.f32`
3 076×	`lower-*.f64`
1 244×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	173
0	50	173
1	86	173
2	138	173
3	298	173
4	710	173
5	1469	173
6	2652	173
7	4442	173
8	6048	173
9	6316	173
10	6454	173
11	6501	173
12	6883	173
13	7015	173
14	7023	173
15	7023	173
16	7575	173
17	7805	173
18	7821	173
19	7838	173
20	7838	173
21	7838	173
22	7838	173
23	7858	173
24	7867	173
25	7867	173
0	8011	173

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (1.2%)

Memory

7.3MiB live, 163.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.109375	(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.20703125	(.f64 (.f64 x #s(literal 3 binary64)) y)
accuracy	32.6978527689779	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.21875	(.f64 (.f64 #s(literal 3 binary64) y) x)
accuracy	32.6978527689779	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x))
accuracy	62.653194343307554	#s(approx (- (* (* x 3) y) z) z)
accuracy	6.456618789769031	(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy	7.985359965360574	(.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) y)
accuracy	8.805592088656976	(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 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))))
accuracy	30.019766689405326	#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))

Samples

63.0ms

256×

valid

Compiler

Compiled 162 to 28 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 22.0ms (56.5% of total)

ival-add: 8.0ms (20.6% of total)

ival-div: 6.0ms (15.4% of total)

ival-sub: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.4%)

Memory

-26.1MiB live, 49.2MiB allocated

Counts

15 → 396

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((+ (* (* (* 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) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* y x) 3) z) (* y x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)))
2.0ms	x	@	-inf	((+ (* (* (* 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) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* y x) 3) z) (* y x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)))
1.0ms	x	@	inf	((+ (* (* (* 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) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* y x) 3) z) (* y x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)))
1.0ms	y	@	-inf	((+ (* (* (* 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) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* y x) 3) z) (* y x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)))
1.0ms	y	@	inf	((+ (* (* (* 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) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* y x) 3) z) (* y x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)))

simplify141.0ms (2.1%)

Memory

30.7MiB live, 178.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 550×	`lower-fma.f64`
6 550×	`lower-fma.f32`
5 220×	`lower-*.f64`
5 220×	`lower-*.f32`
2 122×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	579	3765
1	1849	3637
2	6151	3527
0	8314	3388

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 392

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

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

rewrite450.0ms (6.8%)

Memory

-5.9MiB live, 280.3MiB allocated

Rules

11 614×	`lower-fma.f32`
11 608×	`lower-fma.f64`
6 032×	`lower-*.f32`
6 012×	`lower-*.f64`
3 124×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	122
0	50	122
1	151	122
2	747	120
0	8849	120

Stop Event

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

Counts

15 → 485

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) z (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) (fma.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z))) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z))))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) (fma.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z))) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) #s(literal 3 binary64) z))))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)))) (.f64 (/.f64 (pow.f64 (.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z))) (/.f64 (pow.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z))))) (+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z))) (/.f64 (pow.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 y x) #s(literal 3 binary64) z))) (fma.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 y x) #s(literal 3 binary64) z))))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z))) (/.f64 (pow.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z))) (.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z))) (/.f64 (pow.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 y x) #s(literal 3 binary64) z))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 y x) #s(literal 3 binary64) z))) (fma.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 y x) #s(literal 3 binary64) z))) (.f64 #s(literal 0 binary64) (fma.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) z (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)) z) (fma.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z))) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 2 binary64))))))
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(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)))
(.f64 (pow.f64 (fma.f64 (.f64 y x) #s(literal 3 binary64) z) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 y x) #s(literal 3 binary64) z) #s(literal -1 binary64)) y)
(.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)))
(.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)))
(.f64 y (pow.f64 (fma.f64 (.f64 y x) #s(literal 3 binary64) z) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) y) #s(literal -1 binary64))
(/.f64 (.f64 y (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 z (fma.f64 (.f64 y x) #s(literal 3 binary64) z) (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64))))))
(/.f64 (.f64 y (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z))) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (neg.f64 z) z)) (fma.f64 #s(literal -3 binary64) (*.f64 y x) (neg.f64 z))))
(/.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (neg.f64 z) z))) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (neg.f64 z) z)) (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)))
(/.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (neg.f64 z) z)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (.f64 y x) (neg.f64 z))))))
(/.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (neg.f64 z) z)) (fma.f64 z (fma.f64 (.f64 y x) #s(literal 3 binary64) z) (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 y (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 z (fma.f64 #s(literal -3 binary64) (.f64 y x) z)) #s(literal 2 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 y x) z)))))
(/.f64 (.f64 y (+.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 z (fma.f64 #s(literal -3 binary64) (.f64 y x) z)) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 4 binary64)) (.f64 (.f64 z (fma.f64 #s(literal -3 binary64) (.f64 y x) z)) (-.f64 (.f64 z (fma.f64 #s(literal -3 binary64) (.f64 y x) z)) (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (neg.f64 y)))
(/.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) (*.f64 y x) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) y))
(/.f64 y (fma.f64 (*.f64 y x) #s(literal 3 binary64) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) y)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (fma.f64 (.f64 y x) #s(literal 3 binary64) z))))
(neg.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)))
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z))) (neg.f64 z) (.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z))) (.f64 (*.f64 y x) #s(literal 3 binary64))))
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z))) (.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 z)))
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 z (fma.f64 #s(literal -3 binary64) (.f64 y x) z)) (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))))
(fma.f64 (.f64 z (fma.f64 #s(literal -3 binary64) (.f64 y x) z)) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (.f64 z (fma.f64 #s(literal -3 binary64) (.f64 y x) z)) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z))) (.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 z z)))))
(fma.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z))) (.f64 (neg.f64 z) (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 z z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3 binary64) (.f64 y x) (neg.f64 z))) (/.f64 (neg.f64 y) (fma.f64 (.f64 y x) #s(literal 3 binary64) z)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 y x) #s(literal 3 binary64) z) y)) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 z) (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z)))) (.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z)))))
(+.f64 (.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z)))) (.f64 (neg.f64 z) (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z)))))
(+.f64 (.f64 (.f64 z (fma.f64 #s(literal -3 binary64) (.f64 y x) z)) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))) (.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))) (.f64 (.f64 z (fma.f64 #s(literal -3 binary64) (.f64 y x) z)) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z))) (neg.f64 z)) (.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z))) (.f64 (.f64 y x) #s(literal 3 binary64))))
(+.f64 (.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z))) (.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z))) (neg.f64 z)))
(+.f64 (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 z (fma.f64 #s(literal -3 binary64) (.f64 y x) z))) (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 z (fma.f64 #s(literal -3 binary64) (.f64 y x) z))))

eval118.0ms (1.8%)

Memory: 18.5MiB live, 198.9MiB allocated
Compiler: Compiled 23 285 to 1 744 computations (92.5% saved)

prune84.0ms (1.3%)

Memory

7.3MiB live, 171.0MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	875	2	877
Fresh	1	0	1
Picked	1	4	5
Done	0	3	3
Total	877	9	886

Accuracy

100.0%

Counts

886 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.4%	(fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))))
✓	99.8%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
✓	47.6%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
✓	48.7%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
✓	48.8%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
✓	48.7%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x))
✓	53.2%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))
✓	2.1%	#s(approx (- (* (* x 3) y) z) z)
▶	47.6%	#s(approx (+ (* (* y x) 3) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y))

Compiler

Compiled 66 to 66 computations (0% saved)

simplify141.0ms (2.1%)

Memory

7.6MiB live, 88.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
cost-diff	0	(fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))))
cost-diff	320	(.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64))
cost-diff	0	(/.f64 z y)
cost-diff	0	(fma.f64 x #s(literal 3 binary64) (/.f64 z y))
cost-diff	0	#s(approx (+ (* (* y x) 3) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y))
cost-diff	704	(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)

Rules

5 342×	`lower-fma.f32`
5 336×	`lower-fma.f64`
4 684×	`lower-*.f32`
4 674×	`lower-*.f64`
1 684×	`distribute-lft-neg-in`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	26	131
0	40	130
1	71	130
2	134	130
3	287	130
4	511	130
5	1015	124
6	1589	124
7	3341	120
8	5558	120
9	6721	120
10	7084	120
11	7228	120
12	7278	120
0	8060	120

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (1.4%)

Memory

-17.9MiB live, 112.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.5673716533243968	(.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))
accuracy	6.456618789769031	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 3 binary64) z))
accuracy	8.84009772946949	(fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))))
accuracy	30.019766689405326	#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
accuracy	0	(/.f64 z y)
accuracy	0	#s(approx (+ (* (* y x) 3) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y))
accuracy	0.0390625	(fma.f64 x #s(literal 3 binary64) (/.f64 z y))
accuracy	7.995786313776605	(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)

Samples

65.0ms	235×	0	valid
2.0ms	7×	2	valid
2.0ms	6×	3	valid
2.0ms	8×	1	valid

Compiler

Compiled 126 to 26 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 44.0ms (75.2% of total)

ival-div: 6.0ms (10.2% of total)

ival-add: 6.0ms (10.2% of total)

adjust: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (1.1%)

Memory

7.5MiB live, 45.0MiB allocated

Counts

11 → 372

Calls

Call 1

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

Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) #<representation binary64>) () ())) ())
#s(alt (+ z (* 3 (* x y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) #<representation binary64>) () ())) ())
#s(alt (+ z (* 3 (* x y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) #<representation binary64>) () ())) ())
#s(alt (+ z (* 3 (* x y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* (* y x) 3) z) (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) (patch #s(approx (+ ( (* y x) 3) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* y x) 3) z) (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) (patch #s(approx (+ ( (* y x) 3) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* y x) 3) z) (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) (patch #s(approx (+ ( (* y x) 3) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* y x) 3) z) (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) (patch #s(approx (+ ( (* y x) 3) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) (patch (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 x) (/ z y)) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) (patch (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 x) (/ z y)) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) (patch (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 x) (/ z y)) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) (patch (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ 3 x) (taylor 0 z) (#s(alt (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (patch (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (* (pow x 2) y))) (* 3 (/ 1 x))) (taylor 0 z) (#s(alt (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (patch (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* 1/3 (/ z (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y)))) (* 3 (/ 1 x))) (taylor 0 z) (#s(alt (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (patch (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (+ (* -1/9 (/ z (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 (* (pow x 3) (pow y 2)))))) (/ 1 (* (pow x 2) y)))) (* 3 (/ 1 x))) (taylor 0 z) (#s(alt (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (patch (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) (patch (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) (patch (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) (patch (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) (patch (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#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 (+ z (* 3 (* x y))) (taylor 0 z) (#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 (+ z (* 3 (* x y))) (taylor 0 z) (#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 (+ z (* 3 (* x y))) (taylor 0 z) (#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 (* 1/3 (/ z (* x y))) (taylor 0 z) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<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 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<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 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) 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 (.f64 y x) #s(literal 3 binary64) z)) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) 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 (.f64 y x) #s(literal 3 binary64) z)) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) 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 (.f64 y x) #s(literal 3 binary64) z)) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow z 2) (* x y))) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) (patch (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) (patch (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 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 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) (patch (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 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 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) (patch (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 3 (/ (* x y) z)))) (taylor inf z) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 3 (/ (* x y) z)))) (taylor inf z) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 3 (/ (* x y) z)))) (taylor inf z) (#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) (patch (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (* (* y x) 3) z) (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) (patch #s(approx (+ ( (* y x) 3) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 3 (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (* (* y x) 3) z) (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) (patch #s(approx (+ ( (* y x) 3) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 3 (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (* (* y x) 3) z) (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) (patch #s(approx (+ ( (* y x) 3) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 3 (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (* (* y x) 3) z) (.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) (patch #s(approx (+ ( (* y x) 3) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) (patch (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 3 (/ x z)) (/ 1 y))) (taylor inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) (patch (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 3 (/ x z)) (/ 1 y))) (taylor inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) (patch (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 3 (/ x z)) (/ 1 y))) (taylor inf z) (#s(alt (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) (patch (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ y z)) (taylor inf z) (#s(alt (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (patch (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27 (/ (* x (pow y 2)) z)) (* 9 y)) z) (taylor inf z) (#s(alt (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (patch (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27 (/ (* x (pow y 2)) z)) (+ (* 9 y) (* 81 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) (taylor inf z) (#s(alt (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (patch (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -243 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -27 (/ (* x (pow y 2)) z)) (+ (* 9 y) (* 81 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) (taylor inf z) (#s(alt (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (patch (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) (patch (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) (patch (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) (patch (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z (* x y))) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) (patch (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z (* x y))) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) (patch (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z (* x y))) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) (patch (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ 3 x) (taylor -inf x) (#s(alt (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (patch (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ z (* x y)) 3) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (patch (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ z y)) (* 1/3 (/ (pow z 2) (* x (pow y 2))))) x)) 3) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (patch (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1/3 (/ (pow z 2) (pow y 2))) (* 1/9 (/ (pow z 3) (* x (pow y 3))))) x))) x)) 3) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (patch (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) (patch (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) (patch (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y))) x))) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) (patch (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) x))) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) (patch (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64)))) #<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>) () ())) ())
#s(alt (* 1/3 (/ z (* x y))) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<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 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<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 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) 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 (.f64 y x) #s(literal 3 binary64) z)) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) 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 (.f64 y x) #s(literal 3 binary64) z)) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) (patch (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) (patch (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* 1/3 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) (patch (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* 1/3 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) (patch (.f64 (neg.f64 z) #s(approx (/ z (+ ( y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((* (+ (* x 3) (/ z y)) y) (+ (* (* y x) 3) z) (+ (* x 3) (/ z y)) (/ z y) (* (/ y (+ (* (* y x) 3) z)) 9) (+ (* (* (/ y (+ (* (* y x) 3) z)) 9) (* (* y x) x)) (* (neg z) (/ z (+ (* y (* 3 x)) z)))) (+ (* (* y x) 3) z) (* y x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* (* y x) 3) z)) (* (neg z) (/ z (+ (* y (* 3 x)) z))))
3.0ms	z	@	0	((* (+ (* x 3) (/ z y)) y) (+ (* (* y x) 3) z) (+ (* x 3) (/ z y)) (/ z y) (* (/ y (+ (* (* y x) 3) z)) 9) (+ (* (* (/ y (+ (* (* y x) 3) z)) 9) (* (* y x) x)) (* (neg z) (/ z (+ (* y (* 3 x)) z)))) (+ (* (* y x) 3) z) (* y x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* (* y x) 3) z)) (* (neg z) (/ z (+ (* y (* 3 x)) z))))
2.0ms	y	@	inf	((* (+ (* x 3) (/ z y)) y) (+ (* (* y x) 3) z) (+ (* x 3) (/ z y)) (/ z y) (* (/ y (+ (* (* y x) 3) z)) 9) (+ (* (* (/ y (+ (* (* y x) 3) z)) 9) (* (* y x) x)) (* (neg z) (/ z (+ (* y (* 3 x)) z)))) (+ (* (* y x) 3) z) (* y x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* (* y x) 3) z)) (* (neg z) (/ z (+ (* y (* 3 x)) z))))
2.0ms	y	@	-inf	((* (+ (* x 3) (/ z y)) y) (+ (* (* y x) 3) z) (+ (* x 3) (/ z y)) (/ z y) (* (/ y (+ (* (* y x) 3) z)) 9) (+ (* (* (/ y (+ (* (* y x) 3) z)) 9) (* (* y x) x)) (* (neg z) (/ z (+ (* y (* 3 x)) z)))) (+ (* (* y x) 3) z) (* y x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* (* y x) 3) z)) (* (neg z) (/ z (+ (* y (* 3 x)) z))))
2.0ms	z	@	inf	((* (+ (* x 3) (/ z y)) y) (+ (* (* y x) 3) z) (+ (* x 3) (/ z y)) (/ z y) (* (/ y (+ (* (* y x) 3) z)) 9) (+ (* (* (/ y (+ (* (* y x) 3) z)) 9) (* (* y x) x)) (* (neg z) (/ z (+ (* y (* 3 x)) z)))) (+ (* (* y x) 3) z) (* y x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* (* y x) 3) z)) (* (neg z) (/ z (+ (* y (* 3 x)) z))))

simplify168.0ms (2.6%)

Memory

16.0MiB live, 200.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 312×	`lower-fma.f64`
10 312×	`lower-fma.f32`
6 546×	`lower-*.f64`
6 546×	`lower-*.f32`
3 644×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	876	5080
1	2760	4763
0	8671	4507

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 360

Calls

Call 1

Inputs
(* 3 (* x y))
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(* 3 (* x y))
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(* 3 x)
(+ (* 3 x) (/ z y))
(+ (* 3 x) (/ z y))
(+ (* 3 x) (/ z y))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ 3 x)
(+ (* -1 (/ z (* (pow x 2) y))) (* 3 (/ 1 x)))
(+ (* z (- (* 1/3 (/ z (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y)))) (* 3 (/ 1 x)))
(+ (* z (- (* z (+ (* -1/9 (/ z (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 (* (pow x 3) (pow y 2)))))) (/ 1 (* (pow x 2) y)))) (* 3 (/ 1 x)))
(* 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)))
(* 1/3 (/ 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)))))
(/ 1/3 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 (/ (pow z 2) (* x y)))
(* (pow z 2) (- (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (- (* z (+ (* -1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (- (* 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)))))
z
(* z (+ 1 (* 3 (/ (* x y) z))))
(* z (+ 1 (* 3 (/ (* x y) z))))
(* z (+ 1 (* 3 (/ (* x y) z))))
z
(* z (+ 1 (* 3 (/ (* x y) z))))
(* z (+ 1 (* 3 (/ (* x y) z))))
(* z (+ 1 (* 3 (/ (* x y) z))))
(/ z y)
(* z (+ (* 3 (/ x z)) (/ 1 y)))
(* z (+ (* 3 (/ x z)) (/ 1 y)))
(* z (+ (* 3 (/ x z)) (/ 1 y)))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* 9 (/ y z))
(/ (+ (* -27 (/ (* x (pow y 2)) z)) (* 9 y)) z)
(/ (+ (* -27 (/ (* x (pow y 2)) z)) (+ (* 9 y) (* 81 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -243 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -27 (/ (* x (pow y 2)) z)) (+ (* 9 y) (* 81 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
(* -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))
z
(* z (+ 1 (* 3 (/ (* x y) z))))
(* z (+ 1 (* 3 (/ (* x y) z))))
(* z (+ 1 (* 3 (/ (* x y) 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))))
(/ 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 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* -3 (/ (* x y) z)))))
(* z (- (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (* -3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))))
z
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
z
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(/ z y)
(* -1 (* z (- (* -3 (/ x z)) (/ 1 y))))
(* -1 (* z (- (* -3 (/ x z)) (/ 1 y))))
(* -1 (* z (- (* -3 (/ x z)) (/ 1 y))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* 9 (/ y z))
(* -1 (/ (+ (* -9 y) (* 27 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -9 y) (* -1 (/ (+ (* -27 (* x (pow y 2))) (* 81 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -9 y) (* -1 (/ (+ (* -27 (* x (pow y 2))) (* -1 (/ (+ (* -81 (* (pow x 2) (pow y 3))) (* 243 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) 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)))))
z
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
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)))
(/ 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 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))))
z
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
z
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(/ z y)
(/ (+ z (* 3 (* x y))) y)
(/ (+ z (* 3 (* x y))) y)
(/ (+ z (* 3 (* x y))) y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* 9 (/ y z))
(* y (+ (* -27 (/ (* x y) (pow z 2))) (* 9 (/ 1 z))))
(* y (+ (* y (+ (* -27 (/ x (pow z 2))) (* 81 (/ (* (pow x 2) y) (pow z 3))))) (* 9 (/ 1 z))))
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(+ (* -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)))
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z
(+ z (* 3 (* x y)))
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z
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(* 9 (/ y z))
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(+ (* 9 (/ y z)) (* x (+ (* -27 (/ (pow y 2) (pow z 2))) (* 81 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 9 (/ y z)) (* x (+ (* -27 (/ (pow y 2) (pow z 2))) (* x (+ (* -243 (/ (* x (pow y 4)) (pow z 4))) (* 81 (/ (pow y 3) (pow z 3))))))))
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(+ (* -1 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
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Outputs
(* 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)
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(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
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(+ 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)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(+ (* 3 x) (/ z y))
(fma.f64 x #s(literal 3 binary64) (/.f64 z y))
(+ (* 3 x) (/ z y))
(fma.f64 x #s(literal 3 binary64) (/.f64 z y))
(+ (* 3 x) (/ z y))
(fma.f64 x #s(literal 3 binary64) (/.f64 z y))
(/ z y)
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(+ (* z (- (* 1/3 (/ z (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y)))) (* 3 (/ 1 x)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (.f64 y y)) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) y))) z (/.f64 #s(literal 3 binary64) x))
(+ (* z (- (* z (+ (* -1/9 (/ z (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 (* (pow x 3) (pow y 2)))))) (/ 1 (* (pow x 2) y)))) (* 3 (/ 1 x)))
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(* 3 (* x y))
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(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
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(* 3 (* x y))
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(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
(+ z (* 3 (* x y)))
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(* 1/3 (/ z (* x y)))
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(* 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 #s(literal 1/3 binary64) (*.f64 y x))) 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)))))
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(/ 1/3 x)
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(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
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(+ (* 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 (/ (pow z 2) (* x y)))
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(/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* 1/3 (/ (pow z 2) y))) x))
(/.f64 (fma.f64 (.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* 1/3 (/ (pow z 2) y))) x))
(/.f64 (fma.f64 (.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/27 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x))

rewrite223.0ms (3.4%)

Memory

-19.2MiB live, 255.4MiB allocated

Rules

15 444×	`lower-fma.f32`
15 438×	`lower-fma.f64`
7 776×	`lower-*.f32`
7 766×	`lower-*.f64`
2 296×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	114
0	40	111
1	141	111
2	872	109
0	8443	109

Stop Event

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

Counts

11 → 407

Calls

Call 1

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

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

eval186.0ms (2.8%)

Memory: 20.3MiB live, 206.0MiB allocated
Compiler: Compiled 21 157 to 2 327 computations (89% saved)

prune93.0ms (1.4%)

Memory

-14.3MiB live, 183.6MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	792	1	793
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	793	9	802

Accuracy

100.0%

Counts

802 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.4%	(fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) (.f64 (.f64 y x) x) #s(approx (* (neg z) (/ z (+ (* y (* 3 x)) z))) (neg.f64 z)))
✓	99.8%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
✓	47.6%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
✓	48.7%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
✓	48.8%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
✓	48.7%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) y) x))
✓	53.2%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))
✓	2.1%	#s(approx (- (* (* x 3) y) z) z)
✓	47.6%	#s(approx (+ (* (* y x) 3) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 z y)) y))

Compiler

Compiled 308 to 133 computations (56.8% saved)

regimes39.0ms (0.6%)

Memory

29.4MiB live, 69.8MiB allocated

Counts

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

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

Calls

6 calls:

11.0ms	z
5.0ms	(*.f64 x #s(literal 3 binary64))
5.0ms	y
5.0ms	x
5.0ms	(.f64 (.f64 x #s(literal 3 binary64)) 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)

regimes25.0ms (0.4%)

Memory

-10.5MiB live, 63.9MiB 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) y) x))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
#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 y x) #s(literal 3 binary64)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))

Calls

6 calls:

8.0ms	y
6.0ms	(.f64 (.f64 x #s(literal 3 binary64)) y)
3.0ms	z
3.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	x

Results

Accuracy	Segments	Branch
73.7%	3	`x`
74.6%	3	`y`
73.0%	3	`z`
64.7%	3	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
81.6%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
73.7%	3	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB 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) y) x))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))

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 x #s(literal 3 binary64)) y))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
81.6%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 5 to 6 computations (-20% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.5MiB 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) 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
81.6%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 5 to 6 computations (-20% saved)

regimes17.0ms (0.3%)

Memory

-9.4MiB live, 28.2MiB 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:

8.0ms	x
2.0ms	z
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
2.0ms	y

Results

Accuracy	Segments	Branch
53.2%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
53.2%	1	`z`
53.2%	1	`x`
53.2%	1	`(*.f64 x #s(literal 3 binary64))`
53.2%	1	`y`
53.2%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes8.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB 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	x
1.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
1.0ms	z
1.0ms	(.f64 (.f64 x #s(literal 3 binary64)) y)

Results

Accuracy	Segments	Branch
2.1%	1	`z`
2.1%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
2.1%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
2.1%	1	`x`
2.1%	1	`y`
2.1%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.999440105518073e-61	5.817428447653392e-54
0.0ms	-5.004359166906964e+46	-1.6372935930363975e+44

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.999440105518073e-61	5.817428447653392e-54
0.0ms	-5.004359166906964e+46	-1.6372935930363975e+44

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.999440105518073e-61	5.817428447653392e-54
0.0ms	-5.004359166906964e+46	-1.6372935930363975e+44

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify41.0ms (0.6%)

Memory

-19.7MiB live, 60.8MiB 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	29	182
1	40	182
2	43	182
3	44	182

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -50000000000000002192292152253809867731702382592 binary64)) #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 3618502788666131/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -50000000000000002192292152253809867731702382592 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 3618502788666131/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -50000000000000002192292152253809867731702382592 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 3618502788666131/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #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) z)

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -50000000000000002192292152253809867731702382592 binary64)) #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 3618502788666131/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))))
(if (<=.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal -50000000000000002192292152253809867731702382592 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (if (<=.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3618502788666131/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 y (.f64 #s(literal 3 binary64) x)))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -50000000000000002192292152253809867731702382592 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 3618502788666131/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))))
(if (<=.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal -50000000000000002192292152253809867731702382592 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3618502788666131/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 y (.f64 #s(literal 3 binary64) x)))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -50000000000000002192292152253809867731702382592 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 3618502788666131/7237005577332262213973186563042994240829374041602535252466099000494570602496 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 y (.f64 #s(literal 3 binary64) x)) #s(literal -50000000000000002192292152253809867731702382592 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3618502788666131/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) z)

soundness652.0ms (9.9%)

Memory

-5.4MiB live, 314.3MiB allocated

Rules

4 600×	`lower-fma.f32`
4 592×	`lower-fma.f64`
3 552×	`lower-fma.f64`
3 552×	`lower-fma.f32`
3 130×	`lower-*.f32`

Iterations

Useful iterations: 2 (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
0	26	108
0	45	88
1	167	88
2	930	81
0	9411	81

Stop Event

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

Compiler

Compiled 167 to 109 computations (34.7% saved)

preprocess138.0ms (2.1%)

Memory: 20.9MiB live, 135.3MiB allocated
Remove: (sort x y)
Compiler: Compiled 266 to 108 computations (59.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample623.0ms (9.5%)

explain65.0ms (1%)

preprocess45.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.3%)

localize17.0ms (0.3%)

series13.0ms (0.2%)

simplify117.0ms (1.8%)

rewrite210.0ms (3.2%)

eval38.0ms (0.6%)

prune54.0ms (0.8%)

simplify385.0ms (5.9%)

localize143.0ms (2.2%)

series426.0ms (6.5%)

simplify540.0ms (8.2%)

rewrite222.0ms (3.4%)

eval339.0ms (5.1%)

prune146.0ms (2.2%)

simplify381.0ms (5.8%)

localize80.0ms (1.2%)

series24.0ms (0.4%)

simplify141.0ms (2.1%)

rewrite450.0ms (6.8%)

eval118.0ms (1.8%)

prune84.0ms (1.3%)

simplify141.0ms (2.1%)

localize94.0ms (1.4%)

series72.0ms (1.1%)

simplify168.0ms (2.6%)

rewrite223.0ms (3.4%)

eval186.0ms (2.8%)

prune93.0ms (1.4%)

regimes39.0ms (0.6%)

regimes25.0ms (0.4%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes17.0ms (0.3%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify41.0ms (0.6%)

soundness652.0ms (9.9%)

preprocess138.0ms (2.1%)

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