Metrics for Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample924.0ms (11.1%)

Memory

36.3MiB live, 1 372.4MiB allocated

Samples

620.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 411.0ms

ival-mult: 325.0ms (79% of total)

ival-sub: 73.0ms (17.8% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain159.0ms (1.9%)

Memory

-11.8MiB live, 222.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	*no**	18	0
`-.f64`	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`	nan-rescue	10	0
↳	`(*.f64 x x)`	overflow	59
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	88
↳	`(-.f64 (*.f64 z z) t)`	overflow	77
↳	`(*.f64 z z)`	overflow	77

Confusion

	Predicted +	Predicted -
+	25	0
-	3	228

Precision

0.8928571428571429

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	25	0	0
-	3	0	228

Precision?

0.8928571428571429

Recall?

1.0

Freqs

test

number	freq
0	228
1	28

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 103 to 37 computations (64.1% saved)

Precisions

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

ival-mult: 15.0ms (72.6% of total)

ival-sub: 4.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess238.0ms (2.9%)

Memory

19.2MiB live, 133.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 632×	`lower-fma.f64`
1 632×	`lower-fma.f32`
1 572×	`distribute-lft-in`
1 236×	`unsub-neg`
1 122×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	190
1	167	186
2	599	182
3	2702	182
4	4916	182
5	6296	182
6	6716	182
7	6825	182
8	6842	182
9	7198	182
10	7372	182
11	7372	182
12	7372	182
13	7372	182
0	11	13
0	17	13
1	28	13
2	79	13
3	287	13
4	677	13
5	1190	13
6	1807	13
7	2114	13
8	2168	13
9	2174	13
10	2174	13
0	2174	12

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(abs x)

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.4%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify107.0ms (1.3%)

Memory

-20.3MiB live, 75.2MiB 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)) (-.f64 (*.f64 z z) t))
cost-diff	0	(*.f64 x x)
cost-diff	128	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Rules

1 632×	`lower-fma.f64`
1 632×	`lower-fma.f32`
784×	`lower-*.f32`
776×	`lower-*.f64`
336×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	17	41
1	28	41
2	79	41
3	287	41
4	677	41
5	1190	41
6	1807	41
7	2114	41
8	2168	41
9	2174	41
10	2174	41
0	2174	40

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

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

localize83.0ms (1%)

Memory

-2.6MiB live, 35.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(-.f64 (*.f64 z z) t)
accuracy	2.4531064224718526	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
accuracy	4.296468308187392	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Samples

74.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 63.0ms (95.9% of total)

ival-sub: 2.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

25.4MiB live, 25.5MiB allocated

Counts

5 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

simplify289.0ms (3.5%)

Memory

-11.5MiB live, 451.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 692×	`lower-fma.f64`
14 692×	`lower-fma.f32`
4 378×	`lower-*.f64`
4 378×	`lower-*.f32`
2 550×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1163
1	248	1151
2	805	1151
3	3618	1115
4	7068	1115
0	8356	1071

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite401.0ms (4.8%)

Memory

-2.7MiB live, 445.9MiB allocated

Rules

6 090×	`lower-fma.f64`
6 090×	`lower-fma.f32`
4 794×	`lower-*.f32`
4 786×	`lower-*.f64`
1 978×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
0	17	33
1	56	33
2	422	33
3	5357	33
0	8525	32

Stop Event

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

Counts

5 → 262

Calls

Call 1

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

Outputs
(+.f64 (.f64 x x) (.f64 y (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))))
(+.f64 (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))) (*.f64 x x))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z (neg.f64 t))))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (neg.f64 (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 x x)))))
(+.f64 (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (*.f64 x x)))
(+.f64 (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))) (.f64 #s(literal -4 binary64) (*.f64 y (neg.f64 t))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 (.f64 x x) (.f64 y (*.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z (neg.f64 t))))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t)))) (*.f64 x x)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t)))))
(-.f64 (-.f64 (.f64 x x) (.f64 y (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 y (.f64 #s(literal -4 binary64) t)))
(fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))))
(fma.f64 x (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (neg.f64 (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (neg.f64 (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z (neg.f64 t))))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))
(fma.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) (.f64 x x))
(fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
(fma.f64 #s(literal 4 binary64) (neg.f64 (.f64 y (fma.f64 z z (neg.f64 t)))) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) (fma.f64 z z (neg.f64 t))) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) (.f64 z z)) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
(fma.f64 #s(literal 4 binary64) (.f64 y (neg.f64 (fma.f64 z z (neg.f64 t)))) (.f64 x x))
(fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 (fma.f64 z z (neg.f64 t))) (.f64 x x))
(fma.f64 z (.f64 z (.f64 y #s(literal -4 binary64))) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
(fma.f64 (.f64 z z) (.f64 y #s(literal -4 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
(fma.f64 (fma.f64 z z (neg.f64 t)) (.f64 y #s(literal -4 binary64)) (.f64 x x))
(fma.f64 (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t)))) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (.f64 y #s(literal -4 binary64))) (.f64 x x))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z (neg.f64 t))))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (neg.f64 (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 x x) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z (neg.f64 t))))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) (.f64 y #s(literal -4 binary64))) (.f64 x x))
(fma.f64 (.f64 y #s(literal -4 binary64)) (.f64 z z) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
(fma.f64 (.f64 y #s(literal -4 binary64)) (fma.f64 z z (neg.f64 t)) (.f64 x x))
(fma.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (neg.f64 y) (.f64 x x))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t)))) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) (.f64 z z))) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (neg.f64 (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x)))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z (neg.f64 t))))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))
(fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))
(fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) (.f64 z z)) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
(fma.f64 (neg.f64 (fma.f64 z z (neg.f64 t))) (.f64 y #s(literal 4 binary64)) (.f64 x x))
(fma.f64 #s(literal -4 binary64) (.f64 y (fma.f64 z z (neg.f64 t))) (.f64 x x))
(fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (.f64 x x))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) (neg.f64 y) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
(fma.f64 (.f64 y (fma.f64 z z (neg.f64 t))) #s(literal -4 binary64) (.f64 x x))
(fma.f64 (.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (.f64 x x))
(fma.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t)) (.f64 y #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) (.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))))
(fma.f64 (neg.f64 (.f64 y (fma.f64 z z (neg.f64 t)))) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
(fma.f64 (.f64 (.f64 z z) #s(literal -1 binary64)) (.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (*.f64 x x)))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -1 binary64)) (.f64 y #s(literal 4 binary64)) (*.f64 x x))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) (neg.f64 y)) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 z z (neg.f64 t)))) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (.f64 (neg.f64 y) (fma.f64 z z (neg.f64 t))) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 (neg.f64 (fma.f64 z z (neg.f64 t))) y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 (.f64 z z) (neg.f64 y)) #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
(fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) (.f64 x x)) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x)))) (fma.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) (.f64 x x)) (neg.f64 (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 y (fma.f64 z z (neg.f64 t))) (.f64 y (fma.f64 z z (neg.f64 t)))) (.f64 y (fma.f64 z z (neg.f64 t)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t)))) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t)))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z (neg.f64 t))))) (.f64 (.f64 (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x)) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x)))))) (fma.f64 (.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x)))) (-.f64 (.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z (neg.f64 t))))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t)))))
(/.f64 (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t))) (.f64 (fma.f64 z z t) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t t))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))) (.f64 t (.f64 t t)))) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) (.f64 (fma.f64 z z t) (.f64 t t))) (*.f64 (fma.f64 z z t) (fma.f64 z z t)))
(/.f64 (.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) #s(literal 1 binary64)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))))
(/.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t)) #s(literal 1 binary64)) (fma.f64 z z t))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t (fma.f64 z z t)))))
(/.f64 (.f64 (.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t)))) #s(literal 1 binary64)) (.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))))
(/.f64 (.f64 (.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t)))) #s(literal 1 binary64)) (.f64 (fma.f64 z (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z z))) (.f64 (.f64 t t) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t t)))) (fma.f64 z z t)))
(/.f64 (.f64 (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t))) #s(literal 1 binary64)) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t t)) (fma.f64 z z t)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))))) (neg.f64 (neg.f64 (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t (fma.f64 z z t))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t)))) (neg.f64 (neg.f64 (fma.f64 z z t))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (fma.f64 (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t (fma.f64 z z t))))))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t))) (.f64 (.f64 (.f64 t (/.f64 t (fma.f64 z z t))) (.f64 t (/.f64 t (fma.f64 z z t)))) (.f64 t (/.f64 t (fma.f64 z z t))))) (fma.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) (fma.f64 (.f64 t (/.f64 t (fma.f64 z z t))) (.f64 t (/.f64 t (fma.f64 z z t))) (.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) (*.f64 t (/.f64 t (fma.f64 z z t)))))))
(/.f64 (-.f64 (.f64 t t) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (neg.f64 t) (*.f64 z z)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))))) (.f64 (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))))) (fma.f64 (.f64 z z) (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t))) (.f64 (.f64 t (/.f64 t (fma.f64 z z t))) (.f64 t (/.f64 t (fma.f64 z z t))))) (fma.f64 (.f64 z z) (/.f64 (.f64 z z) (fma.f64 z z t)) (*.f64 t (/.f64 t (fma.f64 z z t)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))))) (fma.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))))
(/.f64 (.f64 (.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (*.f64 t t))))
(/.f64 (.f64 (.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))) (fma.f64 z (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z z))) (.f64 (.f64 t t) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t t)))))
(/.f64 (.f64 (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t))) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t t)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))))
(.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))) (.f64 (fma.f64 z z (neg.f64 t)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))))))
(.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))) (/.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t (fma.f64 z z t)))))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))
(.f64 (fma.f64 z z t) (.f64 (fma.f64 z z (neg.f64 t)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))
(*.f64 (fma.f64 z z t) (/.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t)))
(.f64 (neg.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))))))
(.f64 (neg.f64 (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z t))))
(*.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t)))
(.f64 (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t)) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t)))) (fma.f64 t (-.f64 t (.f64 z z)) (.f64 z (.f64 z (.f64 z z)))))
(.f64 (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t)) (*.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t))) (fma.f64 z z (neg.f64 t)))
(.f64 (/.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) (fma.f64 (.f64 t (fma.f64 z z t)) (.f64 (.f64 t (fma.f64 z z t)) (.f64 t (fma.f64 z z t))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))))) (fma.f64 z (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z z))) (.f64 (.f64 t (fma.f64 z z t)) (-.f64 (.f64 t (fma.f64 z z t)) (.f64 z (.f64 z (.f64 z z)))))))
(.f64 (/.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 t (fma.f64 z z t))))) (-.f64 (.f64 z (.f64 z (.f64 z z))) (*.f64 t (fma.f64 z z t))))

eval46.0ms (0.6%)

Memory: -4.0MiB live, 107.6MiB allocated
Compiler: Compiled 14 103 to 873 computations (93.8% saved)

prune56.0ms (0.7%)

Memory

22.9MiB live, 145.7MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	386	8	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	387	8	395

Accuracy

100.0%

Counts

395 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.0%	(fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))))
▶	72.4%	(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 z (.f64 y (*.f64 #s(literal 4 binary64) z)))))
	61.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))
	66.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (*.f64 x x)))
▶	67.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y)))
	30.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
▶	35.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	43.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z))))

Compiler

Compiled 208 to 132 computations (36.5% saved)

simplify97.0ms (1.2%)

Memory

-17.0MiB live, 90.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 704×	`lower-fma.f32`
1 700×	`lower-fma.f64`
816×	`lower-*.f32`
794×	`lower-*.f64`
352×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	207
0	48	207
1	87	204
2	193	204
3	504	204
4	961	204
5	1514	204
6	2180	204
7	2392	204
8	2442	204
9	2454	204
10	2454	204
0	2454	204

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize169.0ms (2%)

Memory

-25.2MiB live, 91.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 4 binary64) z)
accuracy	0.1171875	(.f64 z (.f64 y (*.f64 #s(literal 4 binary64) z)))
accuracy	2.4531064224718526	(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 z (.f64 y (*.f64 #s(literal 4 binary64) z)))))
accuracy	26.68574259014488	#s(approx (* (* y 4) (- (* z z) t)) (.f64 z (.f64 y (*.f64 #s(literal 4 binary64) z))))
accuracy	0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.0078125	(-.f64 (*.f64 z z) t)
accuracy	4.296468308187392	(.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y))
accuracy	19.154486377169842	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y)))
accuracy	0	(*.f64 z z)
accuracy	0.01171875	(.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z)))
accuracy	7.292037882475993	(.f64 y (.f64 z z))
accuracy	34.684581015441104	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z))))
accuracy	0	(*.f64 x x)
accuracy	41.23423181377336	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
accuracy	0	(*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))
accuracy	0	(neg.f64 t)
accuracy	0.24999724760556022	(fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))))
accuracy	4.296468308187392	(.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))

Samples

119.0ms

256×

valid

Compiler

Compiled 176 to 26 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-sub: 79.0ms (76.9% of total)

ival-mult: 20.0ms (19.5% of total)

ival-add: 2.0ms (1.9% of total)

ival-neg: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.6%)

Memory

0.6MiB live, 41.0MiB allocated

Counts

19 → 552

Calls

Call 1

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

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

Calls

138 calls:

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

simplify301.0ms (3.6%)

Memory

31.6MiB live, 376.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 862×	`lower-fma.f64`
16 862×	`lower-fma.f32`
5 046×	`lower-*.f64`
5 046×	`lower-*.f32`
1 686×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	5062
1	366	5062
2	1144	5008
3	4437	4918
0	8200	4692

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

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

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

rewrite288.0ms (3.5%)

Memory

6.3MiB live, 397.3MiB allocated

Rules

5 086×	`lower-fma.f32`
5 082×	`lower-fma.f64`
3 886×	`lower-*.f32`
3 864×	`lower-*.f64`
2 344×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	179
0	48	179
1	145	176
2	998	163
0	9428	163

Stop Event

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

Counts

19 → 751

Calls

Call 1

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

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

eval212.0ms (2.6%)

Memory: 13.7MiB live, 412.0MiB allocated
Compiler: Compiled 27 921 to 1 669 computations (94% saved)

prune666.0ms (8%)

Memory

-16.7MiB live, 448.4MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 343	3	1 346
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	1 346	8	1 354

Accuracy

100.0%

Counts

1 354 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.3%	(fma.f64 x x (.f64 y (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 z z)) #s(literal -4 binary64))))
▶	61.1%	(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64)))))
✓	72.4%	(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 z (.f64 y (*.f64 #s(literal 4 binary64) z)))))
✓	67.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y)))
▶	45.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
▶	30.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	35.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	43.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z))))

Compiler

Compiled 100 to 64 computations (36% saved)

simplify96.0ms (1.2%)

Memory

26.2MiB live, 104.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

2 000×	`lower-fma.f32`
1 996×	`lower-fma.f64`
1 008×	`lower-*.f32`
990×	`lower-*.f64`
354×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	179
0	41	172
1	75	172
2	163	172
3	462	172
4	950	172
5	1427	172
6	1782	172
7	2133	172
8	2239	172
9	2273	172
10	2285	172
11	2290	172
12	2292	172
13	2292	172
0	2292	170

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize80.0ms (1%)

Memory

-58.0MiB live, 181.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0.24999724760556022	(fma.f64 x x (.f64 y (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 z z)) #s(literal -4 binary64))))
accuracy	4.296468308187392	(.f64 y (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 z z)) #s(literal -4 binary64)))
accuracy	28.628718465262295	#s(approx (+ (* z z) (neg t)) (*.f64 z z))
accuracy	0	(*.f64 t #s(literal 4 binary64))
accuracy	0.24999724760556022	(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64)))))
accuracy	4.296468308187392	(.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))))
accuracy	34.2860172393096	#s(approx (* (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64)))
accuracy	0	(.f64 (.f64 y #s(literal -4 binary64)) z)
accuracy	0	(*.f64 y #s(literal -4 binary64))
accuracy	0.1171875	(.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)
accuracy	34.684581015441104	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
accuracy	0	(.f64 y (.f64 t #s(literal 4 binary64)))
accuracy	0	(*.f64 t #s(literal 4 binary64))
accuracy	44.65688549598687	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))

Samples

38.0ms

256×

valid

Compiler

Compiled 141 to 24 computations (83% saved)

Precisions

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

ival-mult: 16.0ms (68.5% of total)

ival-add: 4.0ms (17.1% of total)

ival-sub: 2.0ms (8.6% of total)

ival-neg: 1.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

-4.6MiB live, 32.5MiB allocated

Counts

15 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(* (* y -4) z)
1.0ms	y	@	0	(* (* y -4) z)
1.0ms	y	@	0	(* y (* t 4))
0.0ms	t	@	0	(* y (* t 4))
0.0ms	y	@	inf	(* y (* t 4))

simplify428.0ms (5.1%)

Memory

28.2MiB live, 305.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 234×	`lower-fma.f64`
15 234×	`lower-fma.f32`
4 730×	`lower-*.f64`
4 730×	`lower-*.f32`
1 808×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	4085
1	355	4085
2	1079	3989
3	4157	3917
4	7798	3917
0	8220	3741

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

rewrite365.0ms (4.4%)

Memory

13.1MiB live, 283.8MiB allocated

Rules

7 952×	`lower-fma.f32`
7 948×	`lower-fma.f64`
5 060×	`lower-*.f32`
5 042×	`lower-*.f64`
2 308×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	162
0	41	155
1	133	155
2	944	155
0	9043	144

Stop Event

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

Counts

15 → 198

Calls

Call 1

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

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal 4 binary64) t)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 y #s(literal 4 binary64))) (.f64 y (.f64 #s(literal 4 binary64) t)))
(+.f64 (.f64 (.f64 y #s(literal -4 binary64)) #s(literal 0 binary64)) (.f64 y (.f64 #s(literal 4 binary64) t)))
(+.f64 (.f64 (.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 y (.f64 #s(literal 4 binary64) t)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 y #s(literal -4 binary64))) (.f64 y (.f64 #s(literal 4 binary64) t)))
(fma.f64 (.f64 y #s(literal 4 binary64)) #s(literal 0 binary64) (.f64 y (*.f64 #s(literal 4 binary64) t)))
(fma.f64 (.f64 y #s(literal -4 binary64)) #s(literal 0 binary64) (.f64 y (*.f64 #s(literal 4 binary64) t)))
(fma.f64 #s(literal 0 binary64) (.f64 y #s(literal 4 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) t)))
(fma.f64 #s(literal 0 binary64) (.f64 y #s(literal -4 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) t)))
(neg.f64 (.f64 y (.f64 #s(literal 4 binary64) t)))
(.f64 y (.f64 #s(literal 4 binary64) t))
(.f64 #s(literal 4 binary64) (.f64 y t))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 (.f64 #s(literal 16 binary64) (.f64 #s(approx (+ ( z z) (neg t)) (.f64 z z)) #s(approx (+ ( z z) (neg t)) (.f64 z z)))) y) (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z)))))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (*.f64 z z))))) #s(literal -64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z)) (.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 #s(literal -4 binary64) #s(approx (+ ( z z) (neg t)) (.f64 z z))) (neg.f64 (.f64 x x))) (fma.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z)))) (neg.f64 (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (fma.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z)))) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 y (.f64 #s(literal -4 binary64) #s(approx (+ ( z z) (neg t)) (.f64 z z))) (neg.f64 (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ (* z z) (neg t)) (.f64 z z))))) (.f64 (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ (* z z) (neg t)) (.f64 z z)))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))))))) (.f64 (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ (* z z) (neg t)) (.f64 z z)))) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (*.f64 z z))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (pow.f64 (.f64 (.f64 y #s(literal -4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z))) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))))) #s(literal -64 binary64)) (-.f64 (.f64 (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))))) #s(literal -64 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) #s(approx (+ (* z z) (neg t)) (.f64 z z))) (fma.f64 y (.f64 #s(literal -4 binary64) #s(approx (+ (* z z) (neg t)) (.f64 z z))) (neg.f64 (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z)))))) #s(literal 4096 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))))) #s(literal -64 binary64))) (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z))) (fma.f64 y (.f64 #s(literal -4 binary64) #s(approx (+ (* z z) (neg t)) (.f64 z z))) (neg.f64 (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z)))))) #s(literal 4096 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))))) (fma.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z)))) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ (* z z) (neg t)) (*.f64 z z))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z)))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z)))) #s(literal -16 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z)))))) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))))) #s(literal -64 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z))) (fma.f64 y (.f64 #s(literal -4 binary64) #s(approx (+ (* z z) (neg t)) (.f64 z z))) (neg.f64 (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z)))) #s(literal -16 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (*.f64 z z)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z)))) (neg.f64 (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (fma.f64 y (.f64 #s(literal -4 binary64) #s(approx (+ ( z z) (neg t)) (.f64 z z))) (neg.f64 (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))))) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ (* z z) (neg t)) (.f64 z z))))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ (* z z) (neg t)) (.f64 z z))))) (fma.f64 (/.f64 (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))))) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z))))) (/.f64 (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))))) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z))))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z))))) (/.f64 (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))))) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (*.f64 z z)))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ (* z z) (neg t)) (.f64 z z))))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ (* z z) (neg t)) (.f64 z z)))))) (.f64 (/.f64 (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))))) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z))))) (/.f64 (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))))) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z))))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ (* z z) (neg t)) (.f64 z z))))) (/.f64 (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))))) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (*.f64 z z)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z)) (.f64 x x))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z))) (fma.f64 y (.f64 #s(literal -4 binary64) #s(approx (+ (* z z) (neg t)) (.f64 z z))) (neg.f64 (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 #s(literal 16 binary64) (.f64 #s(approx (+ (* z z) (neg t)) (.f64 z z)) #s(approx (+ ( z z) (neg t)) (.f64 z z)))) y) (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (*.f64 z z))))))))
(.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z)))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (*.f64 z z))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) #s(approx (+ ( z z) (neg t)) (.f64 z z))) (fma.f64 y (.f64 #s(literal -4 binary64) #s(approx (+ (* z z) (neg t)) (.f64 z z))) (neg.f64 (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z)))) #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ ( z z) (neg t)) (*.f64 z z)))))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -4 binary64)) #s(approx (+ (* z z) (neg t)) (.f64 z z)) (.f64 x x)))
(.f64 (fma.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (.f64 z z))) (.f64 #s(literal 16 binary64) (.f64 y #s(approx (+ ( z z) (neg t)) (.f64 z z)))) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal -4 binary64) #s(approx (+ ( z z) (neg t)) (.f64 z z))) (neg.f64 (.f64 x x)))))
(neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (+ (* z z) (neg t)) (*.f64 z z))))
(neg.f64 (.f64 #s(approx (+ ( z z) (neg t)) (.f64 z z)) (.f64 y #s(literal 4 binary64))))
(.f64 y (.f64 #s(literal -4 binary64) #s(approx (+ (* z z) (neg t)) (*.f64 z z))))
(.f64 #s(literal -4 binary64) (.f64 y #s(approx (+ (* z z) (neg t)) (*.f64 z z))))
(.f64 (.f64 y #s(literal -4 binary64)) #s(approx (+ (* z z) (neg t)) (*.f64 z z)))
(.f64 #s(approx (+ ( z z) (neg t)) (.f64 z z)) (.f64 y #s(literal -4 binary64)))
(.f64 (.f64 #s(literal -4 binary64) #s(approx (+ (* z z) (neg t)) (*.f64 z z))) y)
(.f64 (.f64 y #s(approx (+ (* z z) (neg t)) (*.f64 z z))) #s(literal -4 binary64))
(.f64 (.f64 #s(literal 4 binary64) #s(approx (+ (* z z) (neg t)) (*.f64 z z))) (neg.f64 y))
(.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 z z)) (neg.f64 y)) #s(literal 4 binary64))
(.f64 (.f64 #s(approx (+ (* z z) (neg t)) (.f64 z z)) #s(literal -1 binary64)) (.f64 y #s(literal 4 binary64)))
(.f64 #s(literal -4 binary64) #s(approx (+ ( z z) (neg t)) (*.f64 z z)))
(.f64 #s(approx (+ ( z z) (neg t)) (*.f64 z z)) #s(literal -4 binary64))
#s(approx (+ (* z z) (neg t)) (*.f64 z z))
(+.f64 (*.f64 z z) #s(literal 0 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(-.f64 (*.f64 z z) #s(literal 0 binary64))
(fma.f64 z z #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) #s(literal 0 binary64))
(/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)) #s(literal 0 binary64)) (fma.f64 z (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) #s(literal 0 binary64)) (fma.f64 z (.f64 z (.f64 z z)) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 z z) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 0 binary64)) (.f64 z z))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(*.f64 z z)
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))

eval194.0ms (2.3%)

Memory: 1.5MiB live, 123.4MiB allocated
Compiler: Compiled 10 966 to 534 computations (95.1% saved)

prune177.0ms (2.1%)

Memory

-21.0MiB live, 141.4MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	659	2	661
Fresh	0	0	0
Picked	1	3	4
Done	1	3	4
Total	661	8	669

Accuracy

100.0%

Counts

669 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.1%	(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64)))))
▶	75.9%	(fma.f64 x x #s(approx (* y (* (+ (* z z) (neg t)) -4)) (.f64 #s(literal -4 binary64) (.f64 z (*.f64 y z)))))
✓	67.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y)))
✓	45.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
▶	5.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y t) #s(literal -4 binary64)))
✓	30.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	35.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	43.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z))))

Compiler

Compiled 94 to 61 computations (35.1% saved)

simplify76.0ms (0.9%)

Memory

26.3MiB live, 64.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

1 704×	`lower-fma.f32`
1 702×	`lower-fma.f64`
816×	`lower-*.f32`
806×	`lower-*.f64`
296×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	88
0	30	86
1	61	86
2	157	86
3	447	86
4	884	86
5	1358	86
6	1629	86
7	1831	86
8	1885	86
9	1902	86
10	1914	86
11	1916	86
0	1916	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize104.0ms (1.3%)

Memory

-11.7MiB live, 68.7MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 #s(literal -4 binary64) (.f64 z (*.f64 y z)))
accuracy	0.11328125	(.f64 z (.f64 y z))
accuracy	0.24999724760556022	(fma.f64 x x #s(approx (* y (* (+ (* z z) (neg t)) -4)) (.f64 #s(literal -4 binary64) (.f64 z (*.f64 y z)))))
accuracy	26.68574259014488	#s(approx (* y (* (+ (* z z) (neg t)) -4)) (.f64 #s(literal -4 binary64) (.f64 z (*.f64 y z))))
accuracy	0	(*.f64 y t)
accuracy	0.00390625	(.f64 (.f64 y t) #s(literal -4 binary64))
accuracy	60.26109161459952	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y t) #s(literal -4 binary64)))

Samples

49.0ms

256×

valid

Compiler

Compiled 69 to 24 computations (65.2% saved)

Precisions

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

ival-mult: 32.0ms (84% of total)

ival-sub: 2.0ms (5.3% of total)

ival-add: 2.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.5%)

Memory

-20.4MiB live, 17.9MiB allocated

Counts

7 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

simplify504.0ms (6.1%)

Memory

16.3MiB live, 417.9MiB allocated

Algorithm

1×	egg-herbie

Rules

17 550×	`lower-fma.f64`
17 550×	`lower-fma.f32`
5 578×	`lower-*.f64`
5 578×	`lower-*.f32`
1 942×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	2026
1	272	2026
2	847	2014
3	2988	1978
0	8083	1890

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

rewrite286.0ms (3.4%)

Memory

12.5MiB live, 282.5MiB allocated

Rules

7 148×	`lower-fma.f32`
7 146×	`lower-fma.f64`
4 948×	`lower-*.f32`
4 938×	`lower-*.f64`
2 670×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	78
0	30	76
1	109	76
2	781	76
0	9307	72

Stop Event

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

Counts

7 → 132

Calls

Call 1

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

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

eval88.0ms (1.1%)

Memory: -25.9MiB live, 63.9MiB allocated
Compiler: Compiled 7 337 to 345 computations (95.3% saved)

prune53.0ms (0.6%)

Memory

3.5MiB live, 41.4MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	360	0	360
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	360	8	368

Accuracy

100.0%

Counts

368 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.1%	(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64)))))
✓	75.9%	(fma.f64 x x #s(approx (* y (* (+ (* z z) (neg t)) -4)) (.f64 #s(literal -4 binary64) (.f64 z (*.f64 y z)))))
✓	67.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y)))
✓	45.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
✓	5.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y t) #s(literal -4 binary64)))
✓	30.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	35.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	43.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z))))

Compiler

Compiled 228 to 103 computations (54.8% saved)

regimes84.0ms (1%)

Memory

18.6MiB live, 102.7MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

10 calls:

39.0ms	z
7.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
5.0ms	x
5.0ms	t
5.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
96.3%	2	`x`
94.0%	1	`y`
99.5%	2	`z`
94.0%	1	`t`
94.0%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
96.3%	2	`(*.f64 x x)`
96.1%	2	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
94.0%	1	`(*.f64 y #s(literal 4 binary64))`
99.5%	2	`(-.f64 (*.f64 z z) t)`
99.5%	2	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes72.0ms (0.9%)

Memory

-32.2MiB live, 126.5MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

27.0ms	(*.f64 z z)
6.0ms	(*.f64 x x)
6.0ms	(*.f64 y #s(literal 4 binary64))
4.0ms	t
4.0ms	x

Results

Accuracy	Segments	Branch
82.5%	3	`y`
88.6%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
82.5%	3	`(*.f64 y #s(literal 4 binary64))`
82.8%	3	`t`
86.1%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
89.7%	2	`x`
89.7%	2	`(*.f64 x x)`
92.0%	2	`z`
88.8%	2	`(-.f64 (*.f64 z z) t)`
92.0%	2	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes19.0ms (0.2%)

Memory

8.6MiB live, 46.4MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

5.0ms	(-.f64 (*.f64 z z) t)
4.0ms	x
3.0ms	z
3.0ms	(*.f64 z z)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
86.4%	3	`(-.f64 (*.f64 z z) t)`
86.2%	3	`x`
86.2%	3	`(*.f64 x x)`
89.1%	3	`z`
89.1%	3	`(*.f64 z z)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

27.4MiB live, 27.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.5%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
86.3%	2	`z`
86.3%	2	`(*.f64 z z)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes27.0ms (0.3%)

Memory

-16.6MiB live, 60.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

4.0ms	y
3.0ms	(*.f64 z z)
3.0ms	(-.f64 (*.f64 z z) t)
2.0ms	t
2.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
61.9%	4	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
53.1%	3	`y`
53.1%	3	`(*.f64 y #s(literal 4 binary64))`
52.2%	3	`t`
62.8%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
66.8%	4	`x`
62.1%	2	`(*.f64 x x)`
66.0%	3	`(-.f64 (*.f64 z z) t)`
65.5%	3	`z`
64.8%	3	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes9.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	z
2.0ms	(-.f64 (*.f64 z z) t)
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
62.3%	3	`(*.f64 z z)`
65.4%	4	`x`
62.9%	3	`z`
63.5%	3	`(-.f64 (*.f64 z z) t)`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes55.0ms (0.7%)

Memory

-17.3MiB live, 25.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

44.0ms	x
2.0ms	z
2.0ms	(-.f64 (*.f64 z z) t)
2.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Results

Accuracy	Segments	Branch
50.1%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
35.6%	1	`(*.f64 z z)`
39.1%	2	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
39.1%	3	`z`
39.1%	2	`(-.f64 (*.f64 z z) t)`
53.6%	2	`(*.f64 x x)`
53.6%	2	`x`

Compiler

Compiled 63 to 44 computations (30.2% saved)

regimes15.0ms (0.2%)

Memory

-12.0MiB live, 27.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

3.0ms	(-.f64 (*.f64 z z) t)
1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	(*.f64 z z)
1.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
35.6%	1	`(*.f64 z z)`
35.6%	1	`z`
35.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
35.6%	1	`(-.f64 (*.f64 z z) t)`
35.6%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
35.6%	1	`t`
35.6%	1	`y`
35.6%	1	`(*.f64 y #s(literal 4 binary64))`
35.6%	1	`x`
35.6%	1	`(*.f64 x x)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.444125604928314e+248	6.649194996110866e+258

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.9694405964565005e-96	1.2204134979486237e-93

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.444125604928314e+248	6.649194996110866e+258
0.0ms	4.9694405964565005e-96	1.2204134979486237e-93

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6739942976157743e+212	1.5918008867509978e+216

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.298277613567826e+214	1.5918008867509978e+216
0.0ms	-1084903765722556400.0	-3407893.1258361684

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch43.0ms (0.5%)

Memory

3.0MiB live, 79.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.1778169886757677e+61	1.0257101955560858e+65
13.0ms	6.410653754430631e-170	2.0559566796737974e-165
12.0ms	2.477292214668123e-284	7.747032388141653e-282

Samples

26.0ms

384×

valid

Compiler

Compiled 580 to 410 computations (29.3% saved)

Precisions

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

ival-mult: 10.0ms (71.5% of total)

ival-sub: 3.0ms (21.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.3%)

Memory

-22.7MiB live, 28.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	13624305119854024.0	9.143499033120219e+20

Samples

8.0ms

144×

valid

Compiler

Compiled 200 to 144 computations (28% saved)

Precisions

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

ival-mult: 3.0ms (63.6% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	436
1	90	436
2	93	436
3	94	436

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z z) #s(literal 400000000000000018119312186908566987788960738550170663135013255603028061115238656944849451632274528352523645761412987376023573736775995208861811721784352191162892938000715168933524051653211744054111273618830619635407257621114838914707001425174462464 binary64)) (fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))) (fma.f64 x x #s(approx ( y (* (+ (* z z) (neg t)) -4)) (.f64 #s(literal -4 binary64) (.f64 z (*.f64 y z))))))
(if (<=.f64 (.f64 z z) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (fma.f64 x x #s(approx (* y (* (+ (* z z) (neg t)) -4)) (.f64 #s(literal -4 binary64) (.f64 z (*.f64 y z))))))
(if (<=.f64 (.f64 z z) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 400000000000000018119312186908566987788960738550170663135013255603028061115238656944849451632274528352523645761412987376023573736775995208861811721784352191162892938000715168933524051653211744054111273618830619635407257621114838914707001425174462464 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))
(if (<=.f64 (.f64 z z) #s(literal 199999999999999981918802089535075187003313837481152797173785584930544902055906602073068283476971976059139106077021332637361730559685774486324458373686555306612784812339723868076827097341330155368913559673353797632 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -1000000000000000000 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))
(if (<=.f64 x #s(literal 3767022447139221/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)))) (if (<=.f64 x #s(literal 4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 11999999999999999392645623564888226403563740132160920877006848 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))))
(if (<=.f64 x #s(literal 27500000000000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Outputs
(if (<=.f64 (.f64 z z) #s(literal 400000000000000018119312186908566987788960738550170663135013255603028061115238656944849451632274528352523645761412987376023573736775995208861811721784352191162892938000715168933524051653211744054111273618830619635407257621114838914707001425174462464 binary64)) (fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))) (fma.f64 x x #s(approx ( y (* (+ (* z z) (neg t)) -4)) (.f64 #s(literal -4 binary64) (.f64 z (*.f64 y z))))))
(if (<=.f64 (.f64 z z) #s(literal 400000000000000018119312186908566987788960738550170663135013255603028061115238656944849451632274528352523645761412987376023573736775995208861811721784352191162892938000715168933524051653211744054111273618830619635407257621114838914707001425174462464 binary64)) (fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))) (fma.f64 x x #s(approx ( y (* (+ (* z z) (neg t)) -4)) (.f64 #s(literal -4 binary64) (.f64 z (*.f64 z y))))))
(if (<=.f64 (.f64 z z) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (fma.f64 x x #s(approx (* y (* (+ (* z z) (neg t)) -4)) (.f64 #s(literal -4 binary64) (.f64 z (*.f64 y z))))))
(if (<=.f64 (.f64 z z) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (fma.f64 x x #s(approx (* y (* (+ (* z z) (neg t)) -4)) (.f64 #s(literal -4 binary64) (.f64 z (*.f64 z y))))))
(if (<=.f64 (.f64 z z) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 400000000000000018119312186908566987788960738550170663135013255603028061115238656944849451632274528352523645761412987376023573736775995208861811721784352191162892938000715168933524051653211744054111273618830619635407257621114838914707001425174462464 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))
(if (<=.f64 (.f64 z z) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 400000000000000018119312186908566987788960738550170663135013255603028061115238656944849451632274528352523645761412987376023573736775995208861811721784352191162892938000715168933524051653211744054111273618830619635407257621114838914707001425174462464 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(if (<=.f64 (.f64 z z) #s(literal 199999999999999981918802089535075187003313837481152797173785584930544902055906602073068283476971976059139106077021332637361730559685774486324458373686555306612784812339723868076827097341330155368913559673353797632 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 199999999999999981918802089535075187003313837481152797173785584930544902055906602073068283476971976059139106077021332637361730559685774486324458373686555306612784812339723868076827097341330155368913559673353797632 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (*.f64 y #s(literal -4 binary64))))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -1000000000000000000 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -1000000000000000000 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(if (<=.f64 x #s(literal 3767022447139221/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)))) (if (<=.f64 x #s(literal 4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 11999999999999999392645623564888226403563740132160920877006848 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))))
(if (<=.f64 x #s(literal 3767022447139221/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y))) (if (<=.f64 x #s(literal 4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 11999999999999999392645623564888226403563740132160920877006848 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))))
(if (<=.f64 x #s(literal 27500000000000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

soundness1.2s (14.5%)

Memory

2.7MiB live, 841.7MiB allocated

Rules

16 862×	`lower-fma.f64`
16 862×	`lower-fma.f32`
15 234×	`lower-fma.f64`
15 234×	`lower-fma.f32`
14 692×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	5062
1	366	5062
2	1144	5008
3	4437	4918
0	8200	4692
0	11	33
0	17	33
1	56	33
2	422	33
3	5357	33
0	8525	32
0	32	179
0	48	179
1	145	176
2	998	163
0	9428	163
0	81	1163
1	248	1151
2	805	1151
3	3618	1115
4	7068	1115
0	8356	1071
0	115	4085
1	355	4085
2	1079	3989
3	4157	3917
4	7798	3917
0	8220	3741

Stop Event

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

Compiler

Compiled 536 to 271 computations (49.4% saved)

preprocess129.0ms (1.5%)

Memory

2.8MiB live, 199.1MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 624 to 228 computations (63.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample924.0ms (11.1%)

explain159.0ms (1.9%)

preprocess238.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify107.0ms (1.3%)

localize83.0ms (1%)

series12.0ms (0.1%)

simplify289.0ms (3.5%)

rewrite401.0ms (4.8%)

eval46.0ms (0.6%)

prune56.0ms (0.7%)

simplify97.0ms (1.2%)

localize169.0ms (2%)

series51.0ms (0.6%)

simplify301.0ms (3.6%)

rewrite288.0ms (3.5%)

eval212.0ms (2.6%)

prune666.0ms (8%)

simplify96.0ms (1.2%)

localize80.0ms (1%)

series26.0ms (0.3%)

simplify428.0ms (5.1%)

rewrite365.0ms (4.4%)

eval194.0ms (2.3%)

prune177.0ms (2.1%)

simplify76.0ms (0.9%)

localize104.0ms (1.3%)

series39.0ms (0.5%)

simplify504.0ms (6.1%)

rewrite286.0ms (3.4%)

eval88.0ms (1.1%)

prune53.0ms (0.6%)

regimes84.0ms (1%)

regimes72.0ms (0.9%)

regimes19.0ms (0.2%)

regimes10.0ms (0.1%)

regimes27.0ms (0.3%)

regimes9.0ms (0.1%)

regimes55.0ms (0.7%)

regimes15.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch43.0ms (0.5%)

bsearch22.0ms (0.3%)

simplify11.0ms (0.1%)

soundness1.2s (14.5%)

preprocess129.0ms (1.5%)

end0.0ms (0%)

Profiling