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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB 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)

sample1.2s (38.9%)

Memory

22.4MiB live, 1 082.8MiB allocated

Samples

894.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 541.0ms

ival-mult: 492.0ms (90.9% of total)

ival-sub: 34.0ms (6.3% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain118.0ms (3.8%)

Memory

-14.2MiB live, 78.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(-.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	6	0
↳	`(*.f64 x x)`	overflow	74
↳	`(.f64 (.f64 y #s(literal 4 binary64)) z)`	overflow	34

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	0	0	250

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 51.0ms (94% of total)

ival-sub: 2.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess46.0ms (1.5%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Rules

336×	`lower-fma.f64`
336×	`lower-fma.f32`
248×	`lower-*.f32`
242×	`lower-*.f64`
190×	`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 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify15.0ms (0.5%)

Memory

9.6MiB live, 9.6MiB 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

336×	`lower-fma.f64`
336×	`lower-fma.f32`
248×	`lower-*.f32`
242×	`lower-*.f64`
98×	`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 z (.f64 #s(literal 4 binary64) y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
z

localize50.0ms (1.6%)

Memory

-5.4MiB live, 28.7MiB 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	1.246091685830206	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Samples

45.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 37.0ms (96.6% of total)

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

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.3%)

Memory

12.3MiB live, 12.2MiB 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 (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 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 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 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 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 (* 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 (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 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) (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 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 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) (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 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 (* 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) (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 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 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 (.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 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 (.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 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>) () ())) ())

Calls

9 calls:

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

simplify113.0ms (3.6%)

Memory

-17.8MiB live, 102.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 470×	`lower-fma.f64`
4 470×	`lower-fma.f32`
3 146×	`lower-*.f64`
3 146×	`lower-*.f32`
2 108×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	472
1	96	472
2	258	472
3	1041	472
4	3039	472
5	5802	472
6	7660	472
0	8001	445

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite205.0ms (6.6%)

Memory

24.4MiB live, 248.5MiB allocated

Rules

14 204×	`lower-fma.f64`
14 204×	`lower-fma.f32`
4 716×	`lower-*.f32`
4 710×	`lower-*.f64`
2 560×	`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 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))))))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 z y) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)))) (-.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (fma.f64 (.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) (/.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (*.f64 x x))))
(.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) (.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x)) (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (*.f64 x x)) #s(literal -1 binary64)))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z (.f64 x x)) (.f64 #s(literal -4 binary64) y))))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z (.f64 x x)) (.f64 #s(literal -4 binary64) y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z (.f64 x x)) (.f64 #s(literal -4 binary64) y))))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z (.f64 x x)) (.f64 #s(literal -4 binary64) y))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z (.f64 x x)) (.f64 #s(literal -4 binary64) y))))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z (.f64 x x)) (.f64 #s(literal -4 binary64) y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(-.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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (.f64 x x) (.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(+.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))

eval220.0ms (7.1%)

Memory: -164.3MiB live, 151.7MiB allocated
Compiler: Compiled 8 834 to 624 computations (92.9% saved)

prune6.0ms (0.2%)

Memory

-16.2MiB live, 22.4MiB 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
▶	97.7%	(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
▶	49.4%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	57.9%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 18 to 19 computations (-5.6% saved)

simplify21.0ms (0.7%)

Memory

5.1MiB live, 48.2MiB 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 z y)
cost-diff	0	(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Rules

336×	`lower-fma.f32`
334×	`lower-fma.f64`
248×	`lower-*.f32`
242×	`lower-*.f64`
96×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	61
0	19	61
1	33	59
2	64	59
3	103	59
4	140	59
5	182	59
6	242	59
7	303	59
8	398	59
9	452	59
10	482	59
0	482	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 z y) #s(literal -4 binary64)))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(*.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 z y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 z y)))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (.f64 z y))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(*.f64 x x)
x

localize47.0ms (1.5%)

Memory

0.0MiB live, 78.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0	(*.f64 x x)
accuracy	1.246091685830206	(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
accuracy	0	(*.f64 z y)
accuracy	0.0078125	(.f64 (.f64 z y) #s(literal -4 binary64))
accuracy	32.37812566059359	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
accuracy	0	(*.f64 x x)
accuracy	26.955247594398585	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Samples

39.0ms

256×

valid

Compiler

Compiled 54 to 14 computations (74.1% saved)

Precisions

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

ival-mult: 8.0ms (72.4% of total)

ival-sub: 1.0ms (9.1% of total)

ival-add: 1.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.3%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

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

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

Calls

9 calls:

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

simplify107.0ms (3.4%)

Memory

-10.9MiB live, 143.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 288×	`lower-fma.f64`
5 288×	`lower-fma.f32`
4 202×	`lower-*.f64`
4 202×	`lower-*.f32`
1 716×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	1068
1	134	1068
2	365	1068
3	1181	1068
4	3314	1068
5	6672	1068
0	8103	987

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite219.0ms (7.1%)

Memory

-8.5MiB live, 271.1MiB allocated

Rules

11 060×	`lower-fma.f32`
11 058×	`lower-fma.f64`
5 276×	`lower-*.f32`
5 270×	`lower-*.f64`
2 064×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	47
0	19	47
1	58	45
2	402	45
3	4508	45
0	8217	45

Stop Event

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

Counts

6 → 189

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

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 #s(literal -4 binary64) (.f64 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 z (*.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 (neg.f64 z))) (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))))
(.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 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 (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) y))) (exp.f64 (log.f64 z)))
(.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 #s(literal -4 binary64))))
(.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 (.f64 #s(literal -4 binary64) z) y)
(.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 z (*.f64 #s(literal 4 binary64) y)))
(.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 #s(literal -4 binary64) (.f64 z y))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z (*.f64 #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 y (neg.f64 z)))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) z))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 z y)))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y))))
(/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y))))))
(neg.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -4 binary64) (*.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 z y))))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal -4 binary64) (.f64 z y)))
(*.f64 z y)
(*.f64 y z)
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -4 binary64) z) y (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 z y) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal 2 binary64))))) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) #s(literal 4096 binary64) (.f64 (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
(.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (/.f64 (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 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))
(.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (pow.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (/.f64 (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x)))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (.f64 (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (fma.f64 #s(literal 256 binary64) (pow.f64 (.f64 z y) #s(literal 4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z (.f64 (*.f64 x x) y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (.f64 z y) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) #s(literal 4096 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(fma.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 (neg.f64 y) z) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 z y)) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (.f64 z (neg.f64 y)) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 z #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) y) (*.f64 x x))
(fma.f64 (neg.f64 (.f64 z y)) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal -4 binary64) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(fma.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (/.f64 (.f64 z y) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) z) (/.f64 (.f64 #s(literal -4 binary64) y) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(fma.f64 (.f64 #s(literal -4 binary64) z) 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 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))))
(fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))))
(fma.f64 (.f64 z z) (/.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (.f64 z (.f64 #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 #s(literal -4 binary64) y) z (.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(fma.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) (/.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(fma.f64 #s(literal -4 binary64) (.f64 z y) (.f64 x x))
(fma.f64 (.f64 z y) (/.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.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 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(fma.f64 (.f64 z (.f64 #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 y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.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 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) (neg.f64 (.f64 z y)) (.f64 x x))
(fma.f64 y (.f64 #s(literal -4 binary64) z) (.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 z y)))
(-.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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(-.f64 (.f64 x x) (.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 #s(literal -4 binary64) (*.f64 z y)))

eval42.0ms (1.4%)

Memory: 39.7MiB live, 114.3MiB allocated
Compiler: Compiled 6 566 to 526 computations (92% saved)

prune43.0ms (1.4%)

Memory

-45.0MiB live, 46.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	401	0	401
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	401	3	404

Accuracy

100.0%

Counts

404 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.7%	(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
✓	49.4%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	57.9%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes15.0ms (0.5%)

Memory

33.9MiB live, 33.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.6%	2	`x`
97.7%	1	`y`
97.7%	1	`z`
99.6%	2	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
99.6%	2	`(*.f64 x x)`
97.7%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
97.7%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes28.0ms (0.9%)

Memory

-6.2MiB live, 33.2MiB 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 z y) #s(literal -4 binary64)))

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

Calls

7 calls:

18.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms	x
2.0ms	y
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	z

Results

Accuracy	Segments	Branch
69.7%	2	`y`
70.1%	3	`z`
74.8%	3	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
69.7%	2	`(*.f64 y #s(literal 4 binary64))`
86.3%	2	`x`
81.8%	2	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
86.3%	2	`(*.f64 x x)`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes11.0ms (0.4%)

Memory

-10.1MiB live, 27.8MiB 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	y
1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	x
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
1.0ms	z

Results

Accuracy	Segments	Branch
57.9%	1	`z`
57.9%	1	`y`
57.9%	1	`(*.f64 y #s(literal 4 binary64))`
57.9%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
57.9%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
57.9%	1	`x`
57.9%	1	`(*.f64 x x)`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

bsearch19.0ms (0.6%)

Memory

-9.9MiB live, 30.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.59309607409035e+239	1.1850270664924395e+268

Samples

11.0ms

176×

valid

Compiler

Compiled 100 to 146 computations (-46% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 6.0ms (82.2% of total)

ival-sub: 1.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.4%)

Memory

29.3MiB live, 29.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.4937814370990168e-90	4.16026784938031e-85

Samples

6.0ms

144×

valid

Compiler

Compiled 84 to 131 computations (-56% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (72.5% of total)

ival-sub: 1.0ms (36.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify27.0ms (0.9%)

Memory

-4.8MiB live, 70.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	74
1	23	74

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 x x) #s(literal 11500000000000000610984511214041372558992549330507304834923348317313059528407504025935558822776923022723311934052565569426411277724257232202410566228403112241594243384848660087763429711167834558563602129764065388117021153575484323038037554541234055865851125665925955584 binary64)) (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))

(if (<=.f64 (*.f64 x x) #s(literal 1640438043587259/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64))) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))

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

Outputs
(if (<=.f64 (.f64 x x) #s(literal 11500000000000000610984511214041372558992549330507304834923348317313059528407504025935558822776923022723311934052565569426411277724257232202410566228403112241594243384848660087763429711167834558563602129764065388117021153575484323038037554541234055865851125665925955584 binary64)) (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) z)) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 11500000000000000610984511214041372558992549330507304834923348317313059528407504025935558822776923022723311934052565569426411277724257232202410566228403112241594243384848660087763429711167834558563602129764065388117021153575484323038037554541234055865851125665925955584 binary64)) (fma.f64 (.f64 y z) #s(literal -4 binary64) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) z)) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 1640438043587259/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (- ( x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 1640438043587259/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (- ( x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z))) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

soundness454.0ms (14.7%)

Memory

-12.6MiB live, 298.5MiB allocated

Rules

14 204×	`lower-fma.f64`
14 204×	`lower-fma.f32`
4 716×	`lower-*.f32`
4 710×	`lower-*.f64`
4 470×	`lower-fma.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
0	36	472
1	96	472
2	258	472
3	1041	472
4	3039	472
5	5802	472
6	7660	472
0	8001	445

Stop Event

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

Compiler

Compiled 69 to 45 computations (34.8% saved)

preprocess55.0ms (1.8%)

Memory

-5.7MiB live, 119.8MiB allocated

Remove

(sort y z)

(abs x)

Compiler

Compiled 166 to 92 computations (44.6% 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	15	61
0	19	61
1	33	59
2	64	59
3	103	59
4	140	59
5	182	59
6	242	59
7	303	59
8	398	59
9	452	59
10	482	59
0	482	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	15	61
0	19	61
1	33	59
2	64	59
3	103	59
4	140	59
5	182	59
6	242	59
7	303	59
8	398	59
9	452	59
10	482	59
0	482	59

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (38.9%)

explain118.0ms (3.8%)

preprocess46.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify15.0ms (0.5%)

localize50.0ms (1.6%)

series9.0ms (0.3%)

simplify113.0ms (3.6%)

rewrite205.0ms (6.6%)

eval220.0ms (7.1%)

prune6.0ms (0.2%)

simplify21.0ms (0.7%)

localize47.0ms (1.5%)

series9.0ms (0.3%)

simplify107.0ms (3.4%)

rewrite219.0ms (7.1%)

eval42.0ms (1.4%)

prune43.0ms (1.4%)

regimes15.0ms (0.5%)

regimes28.0ms (0.9%)

regimes11.0ms (0.4%)

bsearch19.0ms (0.6%)

bsearch12.0ms (0.4%)

simplify27.0ms (0.9%)

soundness454.0ms (14.7%)

preprocess55.0ms (1.8%)

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	15	61
0	19	61
1	33	59
2	64	59
3	103	59
4	140	59
5	182	59
6	242	59
7	303	59
8	398	59
9	452	59
10	482	59
0	482	59