Metrics for Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze11.0ms (0.3%)

Memory

-36.5MiB live, 1.0MiB 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 11 to 10 computations (9.1% saved)

sample749.0ms (20.3%)

Memory

40.0MiB live, 1 276.0MiB allocated

Samples

511.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-mult: 197.0ms (77.4% of total)

ival-sub: 43.0ms (16.9% of total)

ival-true: 6.0ms (2.4% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain225.0ms (6.1%)

Memory

11.9MiB live, 121.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
0	-	-	`y`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 x x)`
0	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`	nan-rescue	3	0
↳	`(*.f64 x x)`	overflow	59
↳	`(.f64 (.f64 y #s(literal 4 binary64)) z)`	overflow	39

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (78.1% of total)

ival-sub: 2.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess309.0ms (8.4%)

Memory

-11.3MiB live, 66.3MiB allocated

Algorithm

1×	egg-herbie

Rules

168×	`lower-fma.f64`
168×	`lower-fma.f32`
124×	`lower-*.f32`
121×	`lower-*.f64`
95×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	99	84
2	255	81
3	609	81
4	908	81
5	1035	81
6	1075	81
7	1075	81
0	8	9
0	12	9
1	21	9
2	51	9
3	101	9
4	136	9
5	178	9
6	238	9
7	296	9
8	391	9
9	445	9
10	475	9
0	475	8

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))

Symmetry

(abs x)

(sort y z)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify124.0ms (3.4%)

Memory

-16.3MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) z)
cost-diff	0	(*.f64 x x)
cost-diff	128	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Rules

168×	`lower-fma.f64`
168×	`lower-fma.f32`
124×	`lower-*.f32`
121×	`lower-*.f64`
49×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	21	24
2	51	24
3	101	24
4	136	24
5	178	24
6	238	24
7	296	24
8	391	24
9	445	24
10	475	24
0	475	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(.f64 (.f64 z y) #s(literal 4 binary64))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
z

localize129.0ms (3.5%)

Memory

-5.1MiB live, 33.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 y #s(literal 4 binary64)) z)
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.6523416858302059	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Samples

13.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (82.7% of total)

ival-sub: 1.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())

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

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* (* y 4) z)
1.0ms	x	@	0	(- (* x x) (* (* y 4) z))
1.0ms	y	@	inf	(- (* x x) (* (* y 4) z))
0.0ms	y	@	0	(- (* x x) (* (* y 4) z))
0.0ms	z	@	0	(- (* x x) (* (* y 4) z))

simplify294.0ms (8%)

Memory

-13.7MiB live, 151.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2 291×	`lower-fma.f64`
2 291×	`lower-fma.f32`
1 552×	`lower-*.f64`
1 552×	`lower-*.f32`
1 051×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	472
1	96	472
2	258	472
3	1042	472
4	3025	472
5	5788	472
6	7643	472
0	8101	445

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(- (pow x 2) (* 4 (* y z)))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -4 (* y z))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -4 (* y z))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)

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

rewrite395.0ms (10.7%)

Memory

34.7MiB live, 273.9MiB allocated

Rules

7 102×	`lower-fma.f64`
7 102×	`lower-fma.f32`
2 358×	`lower-*.f32`
2 355×	`lower-*.f64`
1 280×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	36	20
2	242	20
3	2285	20
0	8408	19

Stop Event

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

Counts

4 → 199

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 (.f64 (.f64 z y) (.f64 z y)) #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z y) (.f64 z y)) #s(literal 16 binary64) (.f64 (.f64 (*.f64 x x) x) x))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 x x) (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) z) z) (fma.f64 (.f64 (.f64 z y) (.f64 z y)) #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (.f64 (.f64 x x) x)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 x x) (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 z y)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z)) (.f64 #s(literal 262144 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 x x) (.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 z y))) (fma.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 z y)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) x))))))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 z y)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 z y)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 z y))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) x) x)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x)))) (fma.f64 (.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))) (fma.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 z y)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x)))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 x x) (.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 z y))) (fma.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 z y)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x))))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z)) (.f64 #s(literal 262144 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 x x) (.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 z y))) (fma.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 z y)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x))))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 z (.f64 #s(literal 4 binary64) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (*.f64 x x)))
(-.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 x (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) z) (/.f64 z (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 z z) z) (/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x)))))
(-.f64 (.f64 x x) (.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) #s(literal -4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 x (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) z) (/.f64 z (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 (.f64 (.f64 (.f64 z z) z) (/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))))))
(+.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 #s(literal 4 binary64))))
(.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (exp.f64 (log.f64 (.f64 z #s(literal 4 binary64)))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 z)))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 z #s(literal 4 binary64)))))
(.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 z y) #s(literal 1 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 (.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 z y) #s(literal 4 binary64))
(.f64 (.f64 z #s(literal 4 binary64)) y)
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) y) z)
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 z y) #s(literal 1 binary64)))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 y (.f64 z #s(literal 4 binary64)))
(pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 z (.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval87.0ms (2.4%)

Memory: -37.5MiB live, 82.0MiB allocated
Compiler: Compiled 14 438 to 630 computations (95.6% saved)

prune36.0ms (1%)

Memory

37.1MiB live, 74.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	280	3	283
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	281	3	284

Accuracy

100.0%

Counts

284 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
▶	55.4%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z))
▶	49.7%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 27 to 17 computations (37% saved)

simplify20.0ms (0.5%)

Memory

-21.8MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 #s(literal -4 binary64) z)
cost-diff	0	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
cost-diff	0	(*.f64 y #s(literal -4 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal -4 binary64)) z)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Rules

168×	`lower-fma.f32`
167×	`lower-fma.f64`
124×	`lower-*.f32`
120×	`lower-*.f64`
48×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	61
0	22	61
1	39	59
2	69	59
3	108	59
4	145	59
5	187	59
6	247	59
7	308	59
8	403	59
9	457	59
10	487	59
0	487	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z))
(.f64 (.f64 y #s(literal -4 binary64)) z)
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)
z
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
(*.f64 x x)
x

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(.f64 (.f64 y #s(literal -4 binary64)) z)
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 y #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) y)
y
#s(literal -4 binary64)
z
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
(*.f64 x x)
x

localize43.0ms (1.2%)

Memory

3.5MiB live, 85.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal -4 binary64) z)
accuracy	0.24999724760556022	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
accuracy	0	(.f64 (.f64 y #s(literal -4 binary64)) z)
accuracy	0	(*.f64 y #s(literal -4 binary64))
accuracy	28.51727191005796	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z))
accuracy	0	(*.f64 x x)
accuracy	32.206523739371875	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Samples

30.0ms

256×

valid

Compiler

Compiled 54 to 16 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 13.0ms (81.6% of total)

ival-sub: 1.0ms (6.3% of total)

ival-add: 1.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

7 → 168

Calls

Call 1

Inputs
#s(alt #s(approx (- (* x x) (* (* y 4) z)) (.f64 x x)) (patch #s(approx (- ( x x) (* (* y 4) z)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z)) (patch #s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal -4 binary64)) z) (patch (.f64 (.f64 y #s(literal -4 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal -4 binary64)) (patch (.f64 y #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())

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

Calls

42 calls:

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

simplify129.0ms (3.5%)

Memory

-17.0MiB live, 173.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2 644×	`lower-fma.f64`
2 644×	`lower-fma.f32`
2 101×	`lower-*.f64`
2 101×	`lower-*.f32`
858×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	1068
1	134	1068
2	365	1068
3	1179	1068
4	3304	1068
5	6666	1068
0	8131	987

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(- (pow x 2) (* 4 (* y z)))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -4 (* y z))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -4 (* y z))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(- (pow x 2) (* 4 (* y z)))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -4 (* y z))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -4 (* y z))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(* -4 (* y z))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(* -4 (* y z))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(* -4 (* y z))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)

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

rewrite337.0ms (9.1%)

Memory

16.3MiB live, 385.8MiB allocated

Rules

4 319×	`lower-fma.f32`
4 318×	`lower-fma.f64`
2 283×	`lower-*.f32`
2 279×	`lower-*.f64`
1 293×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	50
0	22	50
1	64	48
2	424	48
3	4752	48
0	8898	48

Stop Event

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

Counts

7 → 278

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z))
(.f64 (.f64 y #s(literal -4 binary64)) z)
(*.f64 y #s(literal -4 binary64))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(*.f64 #s(literal -4 binary64) z)

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
(.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (.f64 z #s(literal 4 binary64)))))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (.f64 (*.f64 z #s(literal 4 binary64)) y))
(.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))))
(.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) y))) (exp.f64 (log.f64 z)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) z))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) y))))
(.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 #s(literal -4 binary64))))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) z))))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 (neg.f64 z))))
(.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 y) z) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal 4 binary64))
(.f64 (.f64 z (neg.f64 y)) #s(literal 4 binary64))
(.f64 (.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y))
(.f64 (neg.f64 (.f64 z y)) #s(literal 4 binary64))
(.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y))
(.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 z #s(literal 4 binary64)) y))
(.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 #s(literal -4 binary64) z) y)
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 #s(literal -4 binary64) (.f64 z y))
(.f64 (.f64 (*.f64 z #s(literal 4 binary64)) y) #s(literal -1 binary64))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 z))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) z))
(.f64 #s(literal 4 binary64) (.f64 y (neg.f64 z)))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 z y)))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 1 binary64))
(/.f64 (.f64 (neg.f64 y) (.f64 (.f64 #s(literal 16 binary64) (.f64 z z)) y)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z #s(literal 4 binary64)) y)))
(/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 z z)) y) y (.f64 #s(literal 0 binary64) (.f64 (.f64 z #s(literal 4 binary64)) y))))))
(/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 z z)) y) y (.f64 #s(literal 0 binary64) (.f64 (.f64 z #s(literal 4 binary64)) y)))))
(/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (.f64 z y)) (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 z #s(literal 4 binary64)) y))))
(neg.f64 (.f64 (.f64 z #s(literal 4 binary64)) y))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 z #s(literal 4 binary64)) y))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal -4 binary64) z) y)))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -4 binary64) z) y))
(*.f64 (neg.f64 y) #s(literal 4 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
(.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (neg.f64 y))
(*.f64 y #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) #s(literal 16 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) #s(literal 16 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y)))))
(neg.f64 (*.f64 #s(literal 4 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) y))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)))) (.f64 (fma.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (.f64 z y))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x) (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y))) (.f64 (.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))))) (fma.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))) (-.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x))))
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(fma.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 z z)) y) (/.f64 (neg.f64 y) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))))
(fma.f64 (.f64 (.f64 z y) #s(literal 16 binary64)) (/.f64 (neg.f64 (.f64 z y)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) z) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x)))))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) y) (/.f64 (.f64 z #s(literal 4 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x)))))
(fma.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y) (.f64 x x))
(fma.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64)) (.f64 x x))
(fma.f64 #s(literal 16 binary64) (/.f64 (.f64 (.f64 (.f64 z y) z) y) (neg.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))))
(fma.f64 (.f64 #s(literal 16 binary64) (.f64 z z)) (/.f64 (neg.f64 (.f64 y y)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))))
(fma.f64 (.f64 z z) (/.f64 (neg.f64 (.f64 (.f64 y y) #s(literal 16 binary64))) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))))
(fma.f64 (.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (.f64 z y)))) (neg.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (/.f64 (.f64 (.f64 z z) z) (fma.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (.f64 z y)))))))
(fma.f64 (.f64 (.f64 x x) x) (/.f64 x (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (neg.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (/.f64 (.f64 z z) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 z #s(literal 4 binary64)) y) (*.f64 x x))
(fma.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y) (.f64 x x))
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (.f64 z y)))) (neg.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (/.f64 (.f64 (.f64 z z) z) (fma.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (.f64 z y)))))))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (neg.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (/.f64 (.f64 z z) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x))))))
(fma.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (.f64 z y)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x)))))
(fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (.f64 z y)))) (neg.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (/.f64 (.f64 (.f64 z z) z) (fma.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (*.f64 z y)))))))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) (/.f64 (.f64 (.f64 z #s(literal 4 binary64)) y) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x)))))
(fma.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) y) (neg.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x)))))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(fma.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (.f64 (.f64 (.f64 z #s(literal 4 binary64)) y) z) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x)))))
(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) z) y) (neg.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x)))))
(fma.f64 #s(literal -4 binary64) (.f64 z y) (.f64 x x))
(fma.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (.f64 z y)))) (neg.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (/.f64 (.f64 (.f64 z z) z) (fma.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (.f64 z y)))))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (neg.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (/.f64 (.f64 z z) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))))))
(fma.f64 (.f64 (.f64 z #s(literal 4 binary64)) y) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 z (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) z) (neg.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))))
(fma.f64 z (.f64 #s(literal -4 binary64) y) (.f64 x x))
(fma.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 z) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) z) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 y (neg.f64 z)) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (neg.f64 (.f64 z y)) (.f64 x x))
(fma.f64 y (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 z z)) y) (neg.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))))
(fma.f64 y (.f64 #s(literal -4 binary64) z) (.f64 x x))
(fma.f64 x (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (neg.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (/.f64 (.f64 z z) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))))))
(fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) z) y))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (.f64 z #s(literal 4 binary64)) y))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 z #s(literal 4 binary64)) y) (*.f64 x x)))
(-.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 x (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))) (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (/.f64 (.f64 z z) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x)))))
(-.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (.f64 z y))))) (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (/.f64 (.f64 (.f64 z z) z) (fma.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (*.f64 z y))))))
(-.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (/.f64 (neg.f64 (.f64 z z)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))) (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x))))
(-.f64 (.f64 x x) (.f64 (*.f64 z #s(literal 4 binary64)) y))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) #s(literal -4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 x (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))) (neg.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (/.f64 (.f64 z z) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x))))))
(+.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (.f64 z y))))) (neg.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (/.f64 (.f64 (.f64 z z) z) (fma.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (*.f64 z y)))))))
(+.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (/.f64 (neg.f64 (.f64 z z)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x)))))
(+.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (neg.f64 z) #s(literal 4 binary64))
(.f64 #s(literal -1 binary64) (.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal -4 binary64) z)
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) (neg.f64 z))
(neg.f64 (*.f64 z #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64)))

eval156.0ms (4.2%)

Memory: -5.9MiB live, 108.3MiB allocated
Compiler: Compiled 16 006 to 752 computations (95.3% saved)

prune60.0ms (1.6%)

Memory

11.1MiB live, 131.5MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	464	0	464
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	464	3	467

Accuracy

100.0%

Counts

467 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
✓	55.4%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z))
✓	49.7%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 57 to 30 computations (47.4% saved)

regimes16.0ms (0.4%)

Memory

-7.3MiB live, 32.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Outputs
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))

Calls

7 calls:

3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
99.6%	1	`(*.f64 x x)`
99.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
99.6%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes19.0ms (0.5%)

Memory

-21.5MiB live, 17.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z))

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Calls

7 calls:

10.0ms	x
2.0ms	z
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms	y

Results

Accuracy	Segments	Branch
85.2%	2	`x`
70.2%	3	`y`
70.3%	3	`z`
73.1%	2	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
85.2%	2	`(*.f64 x x)`
75.4%	3	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
70.2%	3	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes9.0ms (0.3%)

Memory

14.5MiB live, 14.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Calls

7 calls:

1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
1.0ms	x
1.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
1.0ms	z

Results

Accuracy	Segments	Branch
49.7%	1	`y`
49.7%	1	`(*.f64 y #s(literal 4 binary64))`
49.7%	1	`z`
49.7%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
49.7%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
49.7%	1	`x`
49.7%	1	`(*.f64 x x)`

Compiler

Compiled 44 to 32 computations (27.3% saved)

bsearch6.0ms (0.2%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.0532640656956022e-60	1.8814553131548868e-60

Samples

3.0ms

64×

valid

Compiler

Compiled 79 to 58 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (80.2% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify6.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	22	55

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))

(if (<=.f64 (*.f64 x x) #s(literal 2894802230932905/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 y #s(literal -4 binary64)) z)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))

#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Outputs
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 2894802230932905/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (- ( x x) (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

soundness485.0ms (13.1%)

Memory

6.1MiB live, 242.2MiB allocated

Rules

7 102×	`lower-fma.f64`
7 102×	`lower-fma.f32`
2 358×	`lower-*.f32`
2 355×	`lower-*.f64`
2 291×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	472
1	96	472
2	258	472
3	1042	472
4	3025	472
5	5788	472
6	7643	472
0	8101	445
0	8	20
0	12	20
1	36	20
2	242	20
3	2285	20
0	8408	19

Stop Event

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

Compiler

Compiled 71 to 37 computations (47.9% saved)

preprocess33.0ms (0.9%)

Memory

-1.9MiB live, 73.7MiB allocated

Remove

(sort y z)

(abs x)

Compiler

Compiled 174 to 96 computations (44.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	21	24
2	51	24
3	101	24
4	136	24
5	178	24
6	238	24
7	296	24
8	391	24
9	445	24
10	475	24
0	475	23

Iter	Nodes	Cost
0	16	61
0	22	61
1	39	59
2	69	59
3	108	59
4	145	59
5	187	59
6	247	59
7	308	59
8	403	59
9	457	59
10	487	59
0	487	59

Iter	Nodes	Cost
0	8	24
0	12	24
1	21	24
2	51	24
3	101	24
4	136	24
5	178	24
6	238	24
7	296	24
8	391	24
9	445	24
10	475	24
0	475	23

Iter	Nodes	Cost
0	16	61
0	22	61
1	39	59
2	69	59
3	108	59
4	145	59
5	187	59
6	247	59
7	308	59
8	403	59
9	457	59
10	487	59
0	487	59

start0.0ms (0%)

analyze11.0ms (0.3%)

sample749.0ms (20.3%)

explain225.0ms (6.1%)

preprocess309.0ms (8.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify124.0ms (3.4%)

localize129.0ms (3.5%)

series8.0ms (0.2%)

simplify294.0ms (8%)

rewrite395.0ms (10.7%)

eval87.0ms (2.4%)

prune36.0ms (1%)

simplify20.0ms (0.5%)

localize43.0ms (1.2%)

series7.0ms (0.2%)

simplify129.0ms (3.5%)

rewrite337.0ms (9.1%)

eval156.0ms (4.2%)

prune60.0ms (1.6%)

regimes16.0ms (0.4%)

regimes19.0ms (0.5%)

regimes9.0ms (0.3%)

bsearch6.0ms (0.2%)

simplify6.0ms (0.2%)

soundness485.0ms (13.1%)

preprocess33.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	21	24
2	51	24
3	101	24
4	136	24
5	178	24
6	238	24
7	296	24
8	391	24
9	445	24
10	475	24
0	475	23

Iter	Nodes	Cost
0	16	61
0	22	61
1	39	59
2	69	59
3	108	59
4	145	59
5	187	59
6	247	59
7	308	59
8	403	59
9	457	59
10	487	59
0	487	59