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

0.6MiB live, 0.6MiB 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)

sample1.1s (12.3%)

Memory

-17.3MiB live, 1 322.8MiB allocated

Samples

532.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-mult: 213.0ms (69.1% of total)

ival-sub: 80.0ms (26% of total)

ival-true: 6.0ms (1.9% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain132.0ms (1.5%)

Memory

33.5MiB live, 158.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
9	-	-	`(-.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**	13	0
`-.f64`	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`	nan-rescue	9	0
↳	`(*.f64 x x)`	overflow	71
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	89
↳	`(-.f64 (*.f64 z z) t)`	overflow	69
↳	`(*.f64 z z)`	overflow	69

Confusion

	Predicted +	Predicted -
+	19	0
-	3	234

Precision

0.8636363636363636

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	19	0	0
-	3	0	234

Precision?

0.8636363636363636

Recall?

1.0

Freqs

test

number	freq
0	234
1	22

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 99 to 37 computations (62.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (67.3% of total)

ival-sub: 4.0ms (22.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess265.0ms (3%)

Memory

2.9MiB live, 114.8MiB 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 (.f64 (-.f64 t (.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))

Symmetry

(abs z)

(abs x)

Compiler

Compiled 13 to 11 computations (15.4% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.7%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify53.0ms (0.6%)

Memory

-4.7MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize46.0ms (0.5%)

Memory

-34.3MiB live, 59.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	0	(*.f64 x x)
accuracy	2.1015501149812352	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
accuracy	3.114872633293863	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Samples

39.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 15.0ms (84.4% of total)

ival-sub: 2.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

4 → 108

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>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))
1.0ms	y	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))
1.0ms	y	@	-inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))
1.0ms	t	@	-inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))
1.0ms	t	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))

simplify169.0ms (1.9%)

Memory

11.7MiB live, 201.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 830×	`lower-fma.f64`
17 830×	`lower-fma.f32`
5 760×	`lower-*.f64`
5 760×	`lower-*.f32`
2 050×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	1178
1	206	1178
2	665	938
3	2619	938
4	7859	938
0	8348	900

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite336.0ms (3.8%)

Memory

6.0MiB live, 199.2MiB 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	28
0	17	28
1	56	28
2	422	28
3	5357	28
0	8525	27

Stop Event

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

Counts

4 → 187

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))

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))) (-.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x)))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x))))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x)) (pow.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64))))
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(.f64 (/.f64 (.f64 (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 4 binary64)) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (-.f64 t (.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
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(.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 4 binary64)) y) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (.f64 (fma.f64 z z t) t) #s(literal 2 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z t) t)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 4 binary64)) y) (+.f64 (pow.f64 (.f64 (fma.f64 z z t) t) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 z z t) t) (-.f64 (.f64 (fma.f64 z z t) t) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))
(.f64 (.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 4 binary64)) y) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 4 binary64)) y) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(.f64 (.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y)
(.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))
(.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y)))
(.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal 4 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) y) (-.f64 (*.f64 z z) t))
(.f64 #s(literal 4 binary64) (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 y (.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)))
(pow.f64 (/.f64 (fma.f64 z z t) (.f64 (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 4 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 4 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) y)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 z z t)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 z z t)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) t) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) (.f64 (.f64 #s(literal -4 binary64) y) t)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) t) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) (.f64 (.f64 #s(literal -4 binary64) y) t)))))
(/.f64 (.f64 (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 4 binary64)) y) (fma.f64 z z t))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 4 binary64)) y) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal -4 binary64) (.f64 y (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 z z t)))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z t) (.f64 (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 4 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 4 binary64)) y)))
(/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (.f64 z z) t) #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) z) z (.f64 (.f64 #s(literal -4 binary64) y) t))
(fma.f64 (.f64 (neg.f64 t) y) #s(literal 4 binary64) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64) (.f64 (.f64 #s(literal -4 binary64) y) t))
(fma.f64 (.f64 #s(literal -4 binary64) t) y (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y (.f64 (.f64 #s(literal -4 binary64) y) t))
(fma.f64 #s(literal -1 binary64) (.f64 t (.f64 #s(literal 4 binary64) y)) (.f64 (.f64 (*.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (.f64 #s(literal -4 binary64) y) t (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (neg.f64 t) (.f64 #s(literal 4 binary64) y) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (.f64 z z) (.f64 #s(literal 4 binary64) y) (.f64 (.f64 #s(literal -4 binary64) y) t))
(fma.f64 z (.f64 z (.f64 #s(literal 4 binary64) y)) (.f64 (.f64 #s(literal -4 binary64) y) t))
(fma.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 t) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (.f64 #s(literal 4 binary64) y) (.f64 z z) (.f64 (.f64 #s(literal -4 binary64) y) t))
(fma.f64 #s(literal 4 binary64) (.f64 y (neg.f64 t)) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 #s(literal 4 binary64) (.f64 y (.f64 z z)) (.f64 (.f64 #s(literal -4 binary64) y) t))
(fma.f64 y (.f64 #s(literal -4 binary64) t) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 y (.f64 (.f64 z z) #s(literal 4 binary64)) (.f64 (.f64 #s(literal -4 binary64) y) t))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal -4 binary64) y) t) (.f64 (.f64 (*.f64 z z) #s(literal 4 binary64)) y))
(+.f64 (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) (.f64 (*.f64 #s(literal -4 binary64) y) t))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval49.0ms (0.6%)

Memory: -7.9MiB live, 76.6MiB allocated
Compiler: Compiled 7 350 to 546 computations (92.6% saved)

prune76.0ms (0.9%)

Memory

-13.2MiB live, 25.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	287	8	295
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	288	8	296

Accuracy

100.0%

Counts

296 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))
▶	50.5%	(-.f64 (.f64 x x) (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
	65.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
	73.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 z z)) y (*.f64 x x)))
▶	62.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
	26.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
▶	43.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	40.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 168 to 156 computations (7.1% saved)

simplify396.0ms (4.5%)

Memory

17.2MiB live, 250.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))
cost-diff	0	(.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))
cost-diff	0	(*.f64 x x)
cost-diff	128	(-.f64 (.f64 x x) (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
cost-diff	0	(-.f64 (*.f64 z z) t)
cost-diff	0	(.f64 (-.f64 (.f64 z z) t) y)
cost-diff	0	(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	0	(.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal -4 binary64) y) z)
cost-diff	128	(fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))
cost-diff	512	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))

Rules

25 808×	`lower-fma.f32`
25 800×	`lower-fma.f64`
2 880×	`lower-*.f32`
2 858×	`lower-*.f64`
2 320×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	229
0	58	229
1	115	226
2	255	226
3	753	226
4	1978	226
5	3802	226
6	5862	226
7	6372	226
8	6662	226
9	6671	226
10	6672	226
11	6672	226
12	6765	226
13	6768	226
14	6768	226
15	7676	226
0	8092	220

Stop Event

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

Calls

Call 1

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

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

localize110.0ms (1.2%)

Memory

17.5MiB live, 173.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.253892488027801	(fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))
accuracy	2.1015501149812352	(-.f64 (.f64 x x) (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
accuracy	5.023568399653757	(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
accuracy	26.3020648076172	(.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))
accuracy	0	(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
accuracy	0	(*.f64 z z)
accuracy	3.1155346691216916	(.f64 (-.f64 (.f64 z z) t) y)
accuracy	22.96285333589108	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
accuracy	0	(*.f64 z z)
accuracy	0.006191259768442017	(.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y))
accuracy	6.65081491106714	(.f64 (.f64 z z) y)
accuracy	36.54113820358883	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
accuracy	0	(*.f64 x x)
accuracy	35.88214679932041	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
accuracy	0	(*.f64 #s(literal -4 binary64) y)
accuracy	0	(neg.f64 t)
accuracy	0.44921668583020585	(fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))
accuracy	2.5312369267565895	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))

Samples

89.0ms

256×

valid

Compiler

Compiled 219 to 34 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 25.0ms (55.4% of total)

ival-sub: 9.0ms (19.9% of total)

ival-add: 4.0ms (8.9% of total)

ival-pow: 3.0ms (6.6% of total)

ival-div: 2.0ms (4.4% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series74.0ms (0.8%)

Memory

-4.9MiB live, 153.0MiB allocated

Counts

19 → 588

Calls

Call 1

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

Outputs
#s(alt (+ (* -4 (* y (pow z 2))) (pow x 2)) (taylor 0 t) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 t) (#s(alt (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* t y)) (pow x 2)) (taylor 0 t) (#s(alt (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* t y)) (pow x 2)) (taylor 0 t) (#s(alt (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* t y)) (pow x 2)) (taylor 0 t) (#s(alt (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #<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 x x)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)) #<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 x x)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)) #<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 x x)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)) #<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 x x)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)) #<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 #s(literal -4 binary64) (.f64 (.f64 z z) y))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y))) #<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 #s(literal -4 binary64) (.f64 (.f64 z z) y))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y))) #<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 #s(literal -4 binary64) (.f64 (.f64 z z) y))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y))) #<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 #s(literal -4 binary64) (.f64 (.f64 z z) y))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y))) #<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 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #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 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #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 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #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 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y (pow z 2))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64)) (patch (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (* 4 (* t y))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64)) (patch (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (* 4 (* t y))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64)) (patch (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (* 4 (* t y))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64)) (patch (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 z z) t) y) (patch (.f64 (-.f64 (.f64 z z) t) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* y (pow z 2))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 z z) t) y) (patch (.f64 (-.f64 (.f64 z z) t) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* y (pow z 2))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 z z) t) y) (patch (.f64 (-.f64 (.f64 z z) t) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* y (pow z 2))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 z z) t) y) (patch (.f64 (-.f64 (.f64 z z) t) y) #<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 (- (pow x 2) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt (-.f64 (.f64 x x) (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))) (patch (-.f64 (.f64 x x) (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.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 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))) (patch (-.f64 (.f64 x x) (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.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 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))) (patch (-.f64 (.f64 x x) (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.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 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))) (patch (-.f64 (.f64 x x) (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y (pow z 2))) (taylor 0 t) (#s(alt (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))) (patch (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* t y)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))) (patch (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* t y)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))) (patch (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* t y)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))) (patch (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))) #<representation binary64>) () ())) ())
#s(alt (pow z 4) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (patch (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow t 2)) (pow z 4)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (patch (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow t 2)) (pow z 4)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (patch (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow t 2)) (pow z 4)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (patch (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #<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 (* 4 (/ y (pow z 2))) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)) (patch (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ (* t y) (pow z 4))) (* 4 (/ y (pow z 2)))) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)) (patch (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* 4 (/ (* t y) (pow z 6)))))) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)) (patch (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* t (+ (* -4 (/ (* t y) (pow z 8))) (* 4 (/ y (pow z 6)))))))) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)) (patch (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* t y)) (taylor inf t) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
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Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	t	@	0	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t))) (+ (* (neg t) t) (pow z 4)) (neg t) (/ (* 4 y) (+ (* z z) t)))
6.0ms	y	@	-inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t))) (+ (* (neg t) t) (pow z 4)) (neg t) (/ (* 4 y) (+ (* z z) t)))
5.0ms	z	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t))) (+ (* (neg t) t) (pow z 4)) (neg t) (/ (* 4 y) (+ (* z z) t)))
5.0ms	z	@	-inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t))) (+ (* (neg t) t) (pow z 4)) (neg t) (/ (* 4 y) (+ (* z z) t)))
5.0ms	y	@	0	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t))) (+ (* (neg t) t) (pow z 4)) (neg t) (/ (* 4 y) (+ (* z z) t)))

simplify284.0ms (3.2%)

Memory

5.3MiB live, 269.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 190×	`lower-fma.f64`
10 190×	`lower-fma.f32`
5 046×	`lower-*.f64`
5 046×	`lower-*.f32`
2 456×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	277	6951
1	865	6436
2	2710	6002
3	6209	5869
0	8538	5571

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

Inputs
(+ (* -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)))
(pow x 2)
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 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 (* 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 (* 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 (* 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)))
(* y (pow z 2))
(+ (* -1 (* t y)) (* y (pow z 2)))
(+ (* -1 (* t y)) (* y (pow z 2)))
(+ (* -1 (* t y)) (* y (pow z 2)))
(pow z 2)
(+ (* -1 t) (pow z 2))
(+ (* -1 t) (pow z 2))
(+ (* -1 t) (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 (* 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 (* y (pow z 2))))
(pow z 4)
(+ (* -1 (pow t 2)) (pow z 4))
(+ (* -1 (pow t 2)) (pow z 4))
(+ (* -1 (pow t 2)) (pow z 4))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* 4 (/ y (pow z 2)))
(+ (* -4 (/ (* t y) (pow z 4))) (* 4 (/ y (pow z 2))))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* 4 (/ (* t y) (pow z 6))))))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* t (+ (* -4 (/ (* t y) (pow z 8))) (* 4 (/ y (pow z 6))))))))
(* 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))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* 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))
(* 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))
(* 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))
(* 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)))
(* -1 (* t y))
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(* -1 t)
(* t (- (/ (pow z 2) t) 1))
(* t (- (/ (pow z 2) t) 1))
(* t (- (/ (pow z 2) t) 1))
(* 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))
(* 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))))
(* -1 (pow t 2))
(* (pow t 2) (- (/ (pow z 4) (pow t 2)) 1))
(* (pow t 2) (- (/ (pow z 4) (pow t 2)) 1))
(* (pow t 2) (- (/ (pow z 4) (pow t 2)) 1))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* 4 (/ y t))
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 2))))) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* -4 (/ (* y (pow z 6)) (pow t 3))) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 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 (* t y))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 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))
(* -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))
(* -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))
(* -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)))))
(* -1 (* t y))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(* -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)))))
(* 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))
(* -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))))
(* -1 (pow t 2))
(* (pow t 2) (- (/ (pow z 4) (pow t 2)) 1))
(* (pow t 2) (- (/ (pow z 4) (pow t 2)) 1))
(* (pow t 2) (- (/ (pow z 4) (pow t 2)) 1))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* 4 (/ y t))
(* -1 (/ (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))) t))
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* 4 (/ (* y (pow z 4)) t))) t))) t))
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* -1 (/ (+ (* -4 (* y (pow z 4))) (* 4 (/ (* y (pow z 6)) t))) t))) t))) 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 z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(- (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)))
(- (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)))
(* -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))
(pow z 2)
(pow z 2)
(pow z 2)
(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 x 2)) (* -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 (* t y)))
(* -1 (* t y))
(+ (* -1 (* t y)) (* y (pow z 2)))
(+ (* -1 (* t y)) (* y (pow z 2)))
(+ (* -1 (* t y)) (* y (pow z 2)))
(* -1 t)
(- (pow z 2) t)
(- (pow z 2) t)
(- (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 (* 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))))
(* -1 (pow t 2))
(+ (* -1 (pow t 2)) (pow z 4))
(+ (* -1 (pow t 2)) (pow z 4))
(+ (* -1 (pow t 2)) (pow z 4))
(* 4 (/ y t))
(+ (* -4 (/ (* y (pow z 2)) (pow t 2))) (* 4 (/ y t)))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* 4 (/ (* y (pow z 2)) (pow t 3))))))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* (pow z 2) (+ (* -4 (/ (* y (pow z 2)) (pow t 4))) (* 4 (/ y (pow t 3))))))))
(* -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 z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -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))))
(* -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))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -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) (+ (* -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)))))
(* y (pow z 2))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ (* t y) (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)))))
(* -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) (+ (* -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)))
(pow z 4)
(* (pow z 4) (+ 1 (* -1 (/ (pow t 2) (pow z 4)))))
(* (pow z 4) (+ 1 (* -1 (/ (pow t 2) (pow z 4)))))
(* (pow z 4) (+ 1 (* -1 (/ (pow t 2) (pow z 4)))))
(* 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 (/ (* (pow t 2) y) (pow z 4))))) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* -4 (/ (* (pow t 3) y) (pow z 6))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4)))))) (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 z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -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))))
(* -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))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -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) (+ (* -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)))))
(* y (pow z 2))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ (* t y) (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)))))
(* -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) (+ (* -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)))
(pow z 4)
(* (pow z 4) (+ 1 (* -1 (/ (pow t 2) (pow z 4)))))
(* (pow z 4) (+ 1 (* -1 (/ (pow t 2) (pow z 4)))))
(* (pow z 4) (+ 1 (* -1 (/ (pow t 2) (pow z 4)))))
(* 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 (/ (* (pow t 2) y) (pow z 4))))) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* -4 (/ (* (pow t 3) y) (pow z 6))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4)))))) (pow z 2))
(pow x 2)
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(pow x 2)
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(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)
(+ (* -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)))
(* -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))
(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)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* y (- (pow z 2) t))
(* y (- (pow z 2) t))
(* y (- (pow z 2) t))
(* y (- (pow z 2) t))
(pow x 2)
(+ (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))) (pow x 2))
(+ (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))) (pow x 2))
(+ (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))) (pow x 2))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* y (+ (* -4 (pow z 2)) (* 4 t)))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* 4 (* t y))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -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)))
(* 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)))
(* -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))
(* -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)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* y (- (pow z 2) t))
(* y (- (pow z 2) t))
(* y (- (pow z 2) t))
(* y (- (pow z 2) t))
(* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* y (- (/ (pow x 2) y) (* 4 (/ (+ (* -1 (pow t 2)) (pow z 4)) (+ t (pow z 2))))))
(* y (- (/ (pow x 2) y) (* 4 (/ (+ (* -1 (pow t 2)) (pow z 4)) (+ t (pow z 2))))))
(* y (- (/ (pow x 2) y) (* 4 (/ (+ (* -1 (pow t 2)) (pow z 4)) (+ t (pow z 2))))))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* 4 (* t y))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 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 (* 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 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
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(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* -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 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* y (- (pow z 2) t))
(* y (- (pow z 2) t))
(* y (- (pow z 2) t))
(* y (- (pow z 2) t))
(* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (/ (+ (* -1 (pow t 2)) (pow z 4)) (+ t (pow z 2)))))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (/ (+ (* -1 (pow t 2)) (pow z 4)) (+ t (pow z 2)))))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (/ (+ (* -1 (pow t 2)) (pow z 4)) (+ t (pow z 2)))))))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -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))
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (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))))
(pow x 2)
(pow x 2)
(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))))
(* -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))))
(* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(- (pow x 2) (* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))))
(- (pow x 2) (* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))))
(- (pow x 2) (* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (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)
(pow x 2)
(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)
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (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)
(pow x 2)
(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)
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))

Outputs
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 x x (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 x x (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 x x (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 x x (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* -4 (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(* y (pow z 2))
(.f64 (.f64 z z) y)
(+ (* -1 (* t y)) (* y (pow z 2)))
(*.f64 (fma.f64 z z (neg.f64 t)) y)
(+ (* -1 (* t y)) (* y (pow z 2)))
(*.f64 (fma.f64 z z (neg.f64 t)) y)
(+ (* -1 (* t y)) (* y (pow z 2)))
(*.f64 (fma.f64 z z (neg.f64 t)) y)
(pow z 2)
(*.f64 z z)
(+ (* -1 t) (pow z 2))
(fma.f64 z z (neg.f64 t))
(+ (* -1 t) (pow z 2))
(fma.f64 z z (neg.f64 t))
(+ (* -1 t) (pow z 2))
(fma.f64 z z (neg.f64 t))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 x x (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* 4 (* y (pow z 2)))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 z z) y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y)
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y)
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y)
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(+ (* -1 (pow t 2)) (pow z 4))
(fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))
(+ (* -1 (pow t 2)) (pow z 4))
(fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))
(+ (* -1 (pow t 2)) (pow z 4))
(fma.f64 (neg.f64 t) t (pow.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)
(* 4 (/ y (pow z 2)))
(.f64 (/.f64 y (.f64 z z)) #s(literal 4 binary64))
(+ (* -4 (/ (* t y) (pow z 4))) (* 4 (/ y (pow z 2))))
(fma.f64 (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64)) t (.f64 (/.f64 y (*.f64 z z)) #s(literal 4 binary64)))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* 4 (/ (* t y) (pow z 6))))))
(fma.f64 (fma.f64 (.f64 (/.f64 y (pow.f64 z #s(literal 6 binary64))) #s(literal 4 binary64)) t (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64))) t (.f64 (/.f64 y (.f64 z z)) #s(literal 4 binary64)))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* t (+ (* -4 (/ (* t y) (pow z 8))) (* 4 (/ y (pow z 6))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 t #s(literal -4 binary64)) (/.f64 y (pow.f64 z #s(literal 8 binary64))) (.f64 (/.f64 y (pow.f64 z #s(literal 6 binary64))) #s(literal 4 binary64))) t (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64))) t (.f64 (/.f64 y (*.f64 z z)) #s(literal 4 binary64)))
(* 4 (* t y))
(.f64 (.f64 t y) #s(literal 4 binary64))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* 4 (* t y))
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(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -4 (* y (- (pow z 2) t)))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* -4 (* y (- (pow z 2) t)))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(.f64 (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (fma.f64 z z t)))
(- (pow x 2) (* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))))
(fma.f64 (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (fma.f64 z z t)) (.f64 x x))
(- (pow x 2) (* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))))
(fma.f64 (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (fma.f64 z z t)) (.f64 x x))
(- (pow x 2) (* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))))
(fma.f64 (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (fma.f64 z z t)) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(fma.f64 (.f64 (.f64 t y) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(fma.f64 (.f64 (.f64 t y) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(fma.f64 (.f64 (.f64 t y) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (/.f64 y (.f64 x x))) (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t)) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (/.f64 y (.f64 x x))) (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t)) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (/.f64 y (.f64 x x))) (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t)) #s(literal 1 binary64)) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(fma.f64 (.f64 (.f64 t y) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(fma.f64 (.f64 (.f64 t y) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(fma.f64 (.f64 (.f64 t y) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (/.f64 y (.f64 x x))) (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t)) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (/.f64 y (.f64 x x))) (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t)) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (/.f64 y (.f64 x x))) (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t)) #s(literal 1 binary64)) (.f64 x x))

rewrite643.0ms (7.3%)

Memory

-113.6MiB live, 488.0MiB allocated

Rules

8 544×	`lower-fma.f32`
8 536×	`lower-fma.f64`
4 486×	`lower-*.f32`
4 464×	`lower-*.f64`
4 284×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	186
0	58	182
1	205	169
2	1541	169
0	8509	164

Stop Event

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

Counts

19 → 860

Calls

Call 1

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

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

eval471.0ms (5.3%)

Memory: -24.7MiB live, 346.5MiB allocated
Compiler: Compiled 36 686 to 2 659 computations (92.8% saved)

prune228.0ms (2.6%)

Memory

23.7MiB live, 111.5MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 526	7	1 533
Fresh	3	0	3
Picked	2	3	5
Done	0	0	0
Total	1 531	10	1 541

Accuracy

100.0%

Counts

1 541 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))
	71.7%	(-.f64 (.f64 x x) (.f64 (/.f64 (fma.f64 z z t) (fma.f64 z z t)) (/.f64 (fma.f64 z z (neg.f64 t)) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)))))
	51.0%	(-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
▶	65.6%	#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
▶	26.0%	#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (.f64 (.f64 t y) #s(literal 4 binary64)))
▶	60.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z z) y (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
✓	62.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
▶	42.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
✓	43.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	40.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 210 to 179 computations (14.8% saved)

simplify370.0ms (4.2%)

Memory

-38.5MiB live, 286.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (fma.f64 (.f64 z z) y (*.f64 (neg.f64 t) y)) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z z) y (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
cost-diff	320	(fma.f64 (.f64 z z) y (.f64 (neg.f64 t) y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 t y)
cost-diff	0	(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
cost-diff	0	#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
cost-diff	0	(*.f64 z #s(literal -4 binary64))
cost-diff	0	(.f64 (.f64 z #s(literal -4 binary64)) y)
cost-diff	0	(.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
cost-diff	0	(*.f64 t y)
cost-diff	0	(.f64 (.f64 t y) #s(literal 4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (.f64 (.f64 t y) #s(literal 4 binary64)))
cost-diff	0	#s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal -4 binary64) y) z)
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))

Rules

25 952×	`lower-fma.f32`
25 946×	`lower-fma.f64`
2 912×	`lower-*.f32`
2 890×	`lower-*.f64`
2 344×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	235
0	62	229
1	120	227
2	265	223
3	768	223
4	2004	223
5	3855	223
6	5935	223
7	6449	223
8	6742	223
9	6751	223
10	6752	223
11	6752	223
12	6853	223
13	6860	223
14	6860	223
15	7768	223
0	8184	217

Stop Event

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

Calls

Call 1

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

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

localize117.0ms (1.3%)

Memory

35.7MiB live, 186.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(neg.f64 t)
accuracy	3.8655277883876633	(fma.f64 (.f64 z z) y (.f64 (neg.f64 t) y))
accuracy	22.96285333589108	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z z) y (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 t y)
accuracy	0.44921668583020585	(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
accuracy	21.538477030005467	#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
accuracy	0	(.f64 (.f64 z #s(literal -4 binary64)) y)
accuracy	0	(*.f64 z #s(literal -4 binary64))
accuracy	0.125	(.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)
accuracy	36.54113820358883	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
accuracy	0	(.f64 (.f64 t y) #s(literal 4 binary64))
accuracy	0	(*.f64 t y)
accuracy	47.36059638297395	#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (.f64 (.f64 t y) #s(literal 4 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal -4 binary64) y)
accuracy	2.5312369267565895	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))
accuracy	28.065464298636936	#s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))

Samples

97.0ms

256×

valid

Compiler

Compiled 198 to 39 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 47.0ms (60.2% of total)

ival-neg: 16.0ms (20.5% of total)

ival-add: 6.0ms (7.7% of total)

ival-sub: 3.0ms (3.8% of total)

ival-pow: 3.0ms (3.8% of total)

ival-div: 2.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.6%)

Memory

-10.1MiB live, 105.6MiB allocated

Counts

19 → 564

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	t	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (* -4 y) z) (* -4 y) (+ (* (* (neg t) y) -4) (* x x)) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (+ (* (* t y) 4) (* x x)) (* x x) (+ (* (* z z) y) (* (neg t) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* z z) y) (* (neg t) y)) -4) (* z z) (neg t))
5.0ms	y	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (* -4 y) z) (* -4 y) (+ (* (* (neg t) y) -4) (* x x)) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (+ (* (* t y) 4) (* x x)) (* x x) (+ (* (* z z) y) (* (neg t) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* z z) y) (* (neg t) y)) -4) (* z z) (neg t))
3.0ms	y	@	-inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (* -4 y) z) (* -4 y) (+ (* (* (neg t) y) -4) (* x x)) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (+ (* (* t y) 4) (* x x)) (* x x) (+ (* (* z z) y) (* (neg t) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* z z) y) (* (neg t) y)) -4) (* z z) (neg t))
2.0ms	y	@	0	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (* -4 y) z) (* -4 y) (+ (* (* (neg t) y) -4) (* x x)) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (+ (* (* t y) 4) (* x x)) (* x x) (+ (* (* z z) y) (* (neg t) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* z z) y) (* (neg t) y)) -4) (* z z) (neg t))
2.0ms	z	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (* -4 y) z) (* -4 y) (+ (* (* (neg t) y) -4) (* x x)) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (+ (* (* t y) 4) (* x x)) (* x x) (+ (* (* z z) y) (* (neg t) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* z z) y) (* (neg t) y)) -4) (* z z) (neg t))

simplify151.0ms (1.7%)

Memory

35.2MiB live, 295.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 014×	`lower-fma.f64`
9 014×	`lower-fma.f32`
5 328×	`lower-*.f64`
5 328×	`lower-*.f32`
1 362×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	5961
1	553	5307
2	1769	5277
3	5425	5187
0	8236	4871

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

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

rewrite183.0ms (2.1%)

Memory

-12.2MiB live, 276.8MiB allocated

Rules

7 306×	`lower-fma.f32`
7 300×	`lower-fma.f64`
4 426×	`lower-*.f32`
4 404×	`lower-*.f64`
4 278×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	207
0	62	201
1	233	183
2	1847	183
0	8290	177

Stop Event

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

Counts

19 → 347

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64))) (pow.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) (-.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z)) (.f64 #s(literal 16 binary64) (pow.f64 (.f64 (*.f64 z z) y) #s(literal 2 binary64)))))))
(.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64))) (pow.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z #s(literal -4 binary64))) y #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x))))
(.f64 (fma.f64 (.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))))))
(.f64 (fma.f64 (.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) (-.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z)) (.f64 #s(literal 16 binary64) (pow.f64 (.f64 (*.f64 z z) y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z #s(literal -4 binary64))) y #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))) (/.f64 (pow.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))) (.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))) (/.f64 (pow.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z))))
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(fma.f64 (.f64 z y) (.f64 z #s(literal -4 binary64)) (.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y))
(fma.f64 #s(literal -1 binary64) (.f64 t (.f64 y #s(literal -4 binary64))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 t (.f64 y #s(literal -4 binary64))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
(fma.f64 (.f64 y #s(literal -4 binary64)) (.f64 z z) (.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y))
(fma.f64 (.f64 y #s(literal -4 binary64)) (neg.f64 t) (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)))
(fma.f64 (.f64 y #s(literal -4 binary64)) (neg.f64 t) (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z))
(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y))
(fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)))
(fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z))
(fma.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z (.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y))
(fma.f64 (.f64 z #s(literal -4 binary64)) (.f64 z y) (.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y))
(fma.f64 (.f64 z z) (.f64 y #s(literal -4 binary64)) (.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y))
(fma.f64 (neg.f64 t) (.f64 y #s(literal -4 binary64)) (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)))
(fma.f64 (neg.f64 t) (.f64 y #s(literal -4 binary64)) (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z))
(fma.f64 z (.f64 (.f64 z #s(literal -4 binary64)) y) (.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y))
(fma.f64 y (.f64 (.f64 z #s(literal -4 binary64)) z) (.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y))
(fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y))
(fma.f64 y (.f64 (neg.f64 t) #s(literal -4 binary64)) (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)))
(fma.f64 y (.f64 (neg.f64 t) #s(literal -4 binary64)) (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z))
(fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y))
(fma.f64 #s(literal -4 binary64) (.f64 (neg.f64 t) y) (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)))
(fma.f64 #s(literal -4 binary64) (.f64 (neg.f64 t) y) (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 z z t) y))) (.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y))
(+.f64 (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)) (.f64 (*.f64 (neg.f64 t) #s(literal -4 binary64)) y))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) (.f64 (*.f64 (neg.f64 t) #s(literal -4 binary64)) y))
(+.f64 (.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
(*.f64 z z)
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 t t (.f64 #s(literal 0 binary64) t)))))
(*.f64 #s(literal -1 binary64) t)
(.f64 (.f64 (neg.f64 t) t) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) t)))
(*.f64 t #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (neg.f64 (+.f64 #s(literal 0 binary64) t)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 t t) (.f64 #s(literal 0 binary64) (neg.f64 t)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) t) (*.f64 (neg.f64 t) t)))
(/.f64 (*.f64 (neg.f64 t) t) (+.f64 #s(literal 0 binary64) t))
(neg.f64 t)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 t t (.f64 #s(literal 0 binary64) t)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 t t (.f64 #s(literal 0 binary64) t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) t)) (/.f64 (*.f64 t t) (+.f64 #s(literal 0 binary64) t)))
(-.f64 #s(literal 0 binary64) t)
(+.f64 #s(literal 0 binary64) (neg.f64 t))

eval163.0ms (1.8%)

Memory: 13.9MiB live, 274.4MiB allocated
Compiler: Compiled 14 900 to 1 268 computations (91.5% saved)

prune68.0ms (0.8%)

Memory

-23.7MiB live, 165.2MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	955	0	955
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	955	10	965

Accuracy

100.0%

Counts

965 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))
▶	71.7%	(-.f64 (.f64 x x) (.f64 (/.f64 (fma.f64 z z t) (fma.f64 z z t)) (/.f64 (fma.f64 z z (neg.f64 t)) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)))))
▶	51.0%	(-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
✓	65.6%	#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
✓	26.0%	#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (.f64 (.f64 t y) #s(literal 4 binary64)))
✓	60.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z z) y (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
✓	62.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
✓	42.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
✓	43.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	40.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 116 to 102 computations (12.1% saved)

simplify117.0ms (1.3%)

Memory

2.3MiB live, 116.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	384	(/.f64 (fma.f64 z z (neg.f64 t)) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)))
cost-diff	512	(-.f64 (.f64 x x) (.f64 (/.f64 (fma.f64 z z t) (fma.f64 z z t)) (/.f64 (fma.f64 z z (neg.f64 t)) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)))))
cost-diff	1472	(/.f64 (fma.f64 z z t) (fma.f64 z z t))
cost-diff	6080	(pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
cost-diff	0	(*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))
cost-diff	0	(*.f64 x x)
cost-diff	512	(-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
cost-diff	1408	(.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))

Rules

6 460×	`lower-fma.f32`
6 456×	`lower-fma.f64`
3 450×	`lower-*.f32`
3 440×	`lower-*.f64`
1 826×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	176
0	35	172
1	74	170
2	238	120
3	1125	120
4	5703	120
0	8224	118

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (0.7%)

Memory

-0.5MiB live, 111.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 t)
accuracy	2.1015501149812352	(-.f64 (.f64 x x) (.f64 (/.f64 (fma.f64 z z t) (fma.f64 z z t)) (/.f64 (fma.f64 z z (neg.f64 t)) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)))))
accuracy	3.224247633293863	(/.f64 (fma.f64 z z (neg.f64 t)) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)))
accuracy	16.711127322506947	(/.f64 (fma.f64 z z t) (fma.f64 z z t))
accuracy	0.08041000976844201	(*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))
accuracy	2.1015501149812352	(-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
accuracy	5.023568399653757	(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
accuracy	26.3020648076172	(.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))

Samples

47.0ms

256×

valid

Compiler

Compiled 200 to 23 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 11.0ms (34% of total)

ival-div: 8.0ms (24.8% of total)

ival-add: 5.0ms (15.5% of total)

ival-pow: 4.0ms (12.4% of total)

ival-sub: 2.0ms (6.2% of total)

ival-neg: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory

-12.1MiB live, 35.6MiB allocated

Counts

10 → 288

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))) (patch (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))) (patch (-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (patch (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 z z t) (fma.f64 z z t)) (patch (/.f64 (fma.f64 z z t) (fma.f64 z z t)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x x) (.f64 (/.f64 (fma.f64 z z t) (fma.f64 z z t)) (/.f64 (fma.f64 z z (neg.f64 t)) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))))) (patch (-.f64 (.f64 x x) (.f64 (/.f64 (fma.f64 z z t) (fma.f64 z z t)) (/.f64 (fma.f64 z z (neg.f64 t)) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 z z (neg.f64 t)) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 z z (neg.f64 t)) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)) (patch (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z t)) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	((* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t))) (- (* x x) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))) (* x x) (* (+ (* z z) t) (+ (* z z) (neg t))) (pow (* 4 y) -1) (/ (+ (* z z) t) (+ (* z z) t)) (- (* x x) (* (/ (+ (* z z) t) (+ (* z z) t)) (/ (+ (* z z) (neg t)) (pow (* 4 y) -1)))) (/ (+ (* z z) (neg t)) (pow (* 4 y) -1)) (/ (* 4 y) (+ (* z z) t)) (neg t))
1.0ms	y	@	inf	((* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t))) (- (* x x) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))) (* x x) (* (+ (* z z) t) (+ (* z z) (neg t))) (pow (* 4 y) -1) (/ (+ (* z z) t) (+ (* z z) t)) (- (* x x) (* (/ (+ (* z z) t) (+ (* z z) t)) (/ (+ (* z z) (neg t)) (pow (* 4 y) -1)))) (/ (+ (* z z) (neg t)) (pow (* 4 y) -1)) (/ (* 4 y) (+ (* z z) t)) (neg t))
1.0ms	y	@	-inf	((* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t))) (- (* x x) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))) (* x x) (* (+ (* z z) t) (+ (* z z) (neg t))) (pow (* 4 y) -1) (/ (+ (* z z) t) (+ (* z z) t)) (- (* x x) (* (/ (+ (* z z) t) (+ (* z z) t)) (/ (+ (* z z) (neg t)) (pow (* 4 y) -1)))) (/ (+ (* z z) (neg t)) (pow (* 4 y) -1)) (/ (* 4 y) (+ (* z z) t)) (neg t))
1.0ms	t	@	inf	((* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t))) (- (* x x) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))) (* x x) (* (+ (* z z) t) (+ (* z z) (neg t))) (pow (* 4 y) -1) (/ (+ (* z z) t) (+ (* z z) t)) (- (* x x) (* (/ (+ (* z z) t) (+ (* z z) t)) (/ (+ (* z z) (neg t)) (pow (* 4 y) -1)))) (/ (+ (* z z) (neg t)) (pow (* 4 y) -1)) (/ (* 4 y) (+ (* z z) t)) (neg t))
1.0ms	z	@	inf	((* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t))) (- (* x x) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))) (* x x) (* (+ (* z z) t) (+ (* z z) (neg t))) (pow (* 4 y) -1) (/ (+ (* z z) t) (+ (* z z) t)) (- (* x x) (* (/ (+ (* z z) t) (+ (* z z) t)) (/ (+ (* z z) (neg t)) (pow (* 4 y) -1)))) (/ (+ (* z z) (neg t)) (pow (* 4 y) -1)) (/ (* 4 y) (+ (* z z) t)) (neg t))

simplify252.0ms (2.9%)

Memory

38.8MiB live, 225.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 332×	`lower-fma.f64`
14 332×	`lower-fma.f32`
5 940×	`lower-*.f64`
5 940×	`lower-*.f32`
2 502×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	3497
1	639	3364
2	2000	3061
3	7267	3058
0	8071	2890

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* 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 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 4)
(+ (* t (+ (* -1 (pow z 2)) (pow z 2))) (pow z 4))
(+ (* t (+ (* -1 t) (+ (* -1 (pow z 2)) (pow z 2)))) (pow z 4))
(+ (* t (+ (* -1 t) (+ (* -1 (pow z 2)) (pow z 2)))) (pow z 4))
1
1
1
1
(- (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 (* 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 (/ y (pow z 2)))
(+ (* -4 (/ (* t y) (pow z 4))) (* 4 (/ y (pow z 2))))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* 4 (/ (* t y) (pow z 6))))))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* t (+ (* -4 (/ (* t y) (pow z 8))) (* 4 (/ y (pow z 6))))))))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -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))
(* 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)))))
(* -1 (pow t 2))
(* (pow t 2) (- (+ (* -1 (/ (pow z 2) t)) (/ (pow z 2) t)) 1))
(* (pow t 2) (- (+ (* -1 (/ (pow z 2) t)) (+ (/ (pow z 2) t) (/ (pow z 4) (pow t 2)))) 1))
(* (pow t 2) (- (+ (* -1 (/ (pow z 2) t)) (+ (/ (pow z 2) t) (/ (pow z 4) (pow t 2)))) 1))
1
1
1
1
(* 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))
(* 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 (/ y t))
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 2))))) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* -4 (/ (* y (pow z 6)) (pow t 3))) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 2)))))) t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 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 (* 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))))
(* -1 (pow t 2))
(* (pow t 2) (- (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) t)) 1))
(* (pow t 2) (- (* -1 (/ (+ (* -1 (/ (pow z 4) t)) (+ (* -1 (pow z 2)) (pow z 2))) t)) 1))
(* (pow t 2) (- (* -1 (/ (+ (* -1 (/ (pow z 4) t)) (+ (* -1 (pow z 2)) (pow z 2))) t)) 1))
1
1
1
1
(* 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))
(* -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 t))
(* -1 (/ (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))) t))
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* 4 (/ (* y (pow z 4)) t))) t))) t))
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* -1 (/ (+ (* -4 (* y (pow z 4))) (* 4 (/ (* y (pow z 6)) t))) t))) t))) t))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 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))))
(- (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)))
(* -1 (pow t 2))
(+ (* -1 (pow t 2)) (* (pow z 2) (+ t (* -1 t))))
(+ (* -1 (pow t 2)) (* (pow z 2) (+ t (+ (* -1 t) (pow z 2)))))
(+ (* -1 (pow t 2)) (* (pow z 2) (+ t (+ (* -1 t) (pow z 2)))))
1
1
1
1
(- (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 (* 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 t))
(+ (* -4 (/ (* y (pow z 2)) (pow t 2))) (* 4 (/ y t)))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* 4 (/ (* y (pow z 2)) (pow t 3))))))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* (pow z 2) (+ (* -4 (/ (* y (pow z 2)) (pow t 4))) (* 4 (/ y (pow t 3))))))))
(* 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) (- (/ (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 z 4)
(* (pow z 4) (+ 1 (+ (* -1 (/ t (pow z 2))) (/ t (pow z 2)))))
(* (pow z 4) (+ 1 (+ (* -1 (/ t (pow z 2))) (+ (* -1 (/ (pow t 2) (pow z 4))) (/ t (pow z 2))))))
(* (pow z 4) (+ 1 (+ (* -1 (/ t (pow z 2))) (+ (* -1 (/ (pow t 2) (pow z 4))) (/ t (pow z 2))))))
1
1
1
1
(* -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) (+ (* -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) (pow z 2))) (* 4 y)) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4))))) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* -4 (/ (* (pow t 3) y) (pow z 6))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4)))))) (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) (- (/ (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 z 4)
(* (pow z 4) (+ 1 (+ (* -1 (/ t (pow z 2))) (/ t (pow z 2)))))
(* (pow z 4) (+ 1 (+ (* -1 (/ t (pow z 2))) (+ (* -1 (/ (pow t 2) (pow z 4))) (/ t (pow z 2))))))
(* (pow z 4) (+ 1 (+ (* -1 (/ t (pow z 2))) (+ (* -1 (/ (pow t 2) (pow z 4))) (/ t (pow z 2))))))
1
1
1
1
(* -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) (+ (* -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) (pow z 2))) (* 4 y)) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4))))) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* -4 (/ (* (pow t 3) y) (pow z 6))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4)))))) (pow z 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)))
(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))
(/ 1/4 y)
(/ 1/4 y)
(/ 1/4 y)
(/ 1/4 y)
(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)))
(* 4 (* y (- (pow z 2) t)))
(* 4 (* y (- (pow z 2) t)))
(* 4 (* y (- (pow z 2) t)))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 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)))
(* 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))))
(/ 1/4 y)
(/ 1/4 y)
(/ 1/4 y)
(/ 1/4 y)
(* -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)))
(* 4 (* y (- (pow z 2) t)))
(* 4 (* y (- (pow z 2) t)))
(* 4 (* y (- (pow z 2) t)))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 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)))
(* -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)))))
(/ 1/4 y)
(/ 1/4 y)
(/ 1/4 y)
(/ 1/4 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 (* 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 (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 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))))
(pow x 2)
(pow x 2)
(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))))
(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)
(pow x 2)
(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)
(pow x 2)
(pow x 2)
(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)))))

Outputs
(* 4 (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) #s(literal 4 binary64))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
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rewrite281.0ms (3.2%)

Memory

8.7MiB live, 398.6MiB allocated

Rules

5 844×	`lower-fma.f32`
5 840×	`lower-fma.f64`
4 550×	`lower-*.f32`
4 540×	`lower-*.f64`
4 228×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	115
0	35	113
1	154	68
2	1431	68
0	8664	66

Stop Event

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

Counts

10 → 871

Calls

Call 1

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

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

eval172.0ms (2%)

Memory: -33.4MiB live, 383.7MiB allocated
Compiler: Compiled 37 345 to 2 646 computations (92.9% saved)

prune27.0ms (0.3%)

Memory

15.5MiB live, 94.6MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1 205	3	1 208
Fresh	0	0	0
Picked	2	0	2
Done	0	8	8
Total	1 207	11	1 218

Accuracy

100.0%

Counts

1 218 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))
	44.2%	(fma.f64 x x (.f64 (neg.f64 (pow.f64 (.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 z z (neg.f64 t)) (pow.f64 (.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)))))
	95.2%	(-.f64 (.f64 x x) (fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (/.f64 #s(literal 1/4 binary64) y)) (neg.f64 (.f64 t (*.f64 y #s(literal 4 binary64))))))
	92.7%	(-.f64 (*.f64 x x) (/.f64 (fma.f64 z z (neg.f64 t)) (/.f64 #s(literal 1/4 binary64) y)))
✓	65.6%	#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
✓	26.0%	#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (.f64 (.f64 t y) #s(literal 4 binary64)))
✓	60.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z z) y (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
✓	62.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
✓	42.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
✓	43.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	40.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 365 to 192 computations (47.4% saved)

regimes208.0ms (2.4%)

Memory

-11.7MiB live, 74.2MiB allocated

Counts

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

Outputs

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

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

Calls

10 calls:

102.0ms	y
59.0ms	(*.f64 z z)
6.0ms	(*.f64 y #s(literal 4 binary64))
6.0ms	x
6.0ms	t

Results

Accuracy	Segments	Branch
95.3%	1	`x`
97.2%	2	`y`
97.0%	2	`z`
95.3%	1	`t`
97.2%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
95.3%	1	`(*.f64 x x)`
95.3%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
97.2%	2	`(*.f64 y #s(literal 4 binary64))`
95.3%	1	`(-.f64 (*.f64 z z) t)`
95.3%	1	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes123.0ms (1.4%)

Memory

13.1MiB live, 91.1MiB 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 (.f64 y #s(literal 4 binary64)) t))
#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (.f64 (.f64 t y) #s(literal 4 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 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 z z)) y (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z z) y (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
(-.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)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))

Calls

10 calls:

52.0ms	(*.f64 y #s(literal 4 binary64))
38.0ms	(*.f64 z z)
4.0ms	x
4.0ms	(-.f64 (*.f64 z z) t)
4.0ms	y

Results

Accuracy	Segments	Branch
94.3%	2	`x`
94.3%	2	`(*.f64 x x)`
95.7%	2	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
96.7%	2	`(-.f64 (*.f64 z z) t)`
96.7%	2	`(*.f64 z z)`
92.7%	1	`t`
96.7%	2	`z`
92.7%	1	`y`
92.7%	1	`(*.f64 y #s(literal 4 binary64))`
95.1%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes95.0ms (1.1%)

Memory

-15.5MiB live, 65.6MiB allocated

Counts

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

Outputs

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

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

Calls

10 calls:

32.0ms	(*.f64 z z)
31.0ms	x
4.0ms	t
4.0ms	(*.f64 y #s(literal 4 binary64))
4.0ms	y

Results

Accuracy	Segments	Branch
83.7%	4	`y`
86.5%	3	`t`
83.7%	4	`(*.f64 y #s(literal 4 binary64))`
87.5%	2	`x`
87.5%	2	`(*.f64 x x)`
88.2%	4	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
86.7%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
90.8%	2	`z`
90.5%	2	`(-.f64 (*.f64 z z) t)`
90.8%	2	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes11.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB 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 (.f64 y #s(literal 4 binary64)) t))
#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (.f64 (.f64 t y) #s(literal 4 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 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 z z)) y (*.f64 x x)))

Outputs

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

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

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

Calls

3 calls:

3.0ms	z
3.0ms	(-.f64 (*.f64 z z) t)
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
91.1%	3	`(-.f64 (*.f64 z z) t)`
91.4%	3	`z`
91.4%	3	`(*.f64 z z)`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes57.0ms (0.6%)

Memory

-15.2MiB live, 23.9MiB 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 (.f64 y #s(literal 4 binary64)) t))
#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (.f64 (.f64 t y) #s(literal 4 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 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))

Outputs

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

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

Calls

5 calls:

43.0ms	(*.f64 z z)
3.0ms	z
3.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 (*.f64 z z) t)

Results

Accuracy	Segments	Branch
82.1%	2	`x`
82.1%	2	`(*.f64 x x)`
84.1%	2	`(-.f64 (*.f64 z z) t)`
87.0%	2	`z`
87.0%	2	`(*.f64 z z)`

Compiler

Compiled 13 to 24 computations (-84.6% saved)

regimes44.0ms (0.5%)

Memory

-1.3MiB live, 36.7MiB 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 (.f64 y #s(literal 4 binary64)) t))
#s(approx (- (* x x) (* (+ (* (neg t) t) (pow z 4)) (/ (* 4 y) (+ (* z z) t)))) (.f64 (.f64 t y) #s(literal 4 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 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))

Outputs

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

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

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

Calls

10 calls:

23.0ms	(-.f64 (*.f64 z z) t)
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	x
2.0ms	t
2.0ms	z

Results

Accuracy	Segments	Branch
57.1%	3	`y`
57.1%	3	`(*.f64 y #s(literal 4 binary64))`
64.6%	2	`x`
64.6%	2	`(*.f64 x x)`
73.8%	3	`(-.f64 (*.f64 z z) t)`
57.2%	5	`t`
63.2%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
68.0%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
68.2%	2	`z`
68.2%	2	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

(-.f64 (*.f64 z z) t)

Results

Accuracy	Segments	Branch
71.8%	3	`(-.f64 (*.f64 z z) t)`

Compiler

Compiled 5 to 6 computations (-20% saved)

regimes29.0ms (0.3%)

Memory

-19.4MiB live, 22.2MiB 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 (*.f64 y #s(literal 4 binary64)) t))

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
54.4%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
58.1%	2	`x`
58.1%	2	`(*.f64 x x)`
46.4%	2	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
43.9%	1	`z`
43.9%	1	`(*.f64 z z)`
51.8%	2	`(-.f64 (*.f64 z z) t)`

Compiler

Compiled 35 to 44 computations (-25.7% saved)

regimes11.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB 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

8 calls:

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

Results

Accuracy	Segments	Branch
43.9%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
43.9%	1	`(-.f64 (*.f64 z z) t)`
43.9%	1	`t`
43.9%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
43.9%	1	`y`
43.9%	1	`(*.f64 y #s(literal 4 binary64))`
43.9%	1	`x`
43.9%	1	`(*.f64 x x)`

Compiler

Compiled 36 to 49 computations (-36.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch14.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.6687768999782836e+145	1.3316183636588082e+149

Samples

8.0ms

128×

valid

Compiler

Compiled 184 to 194 computations (-5.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (69.1% of total)

ival-sub: 1.0ms (23% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Memory

-37.7MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4412745029286448e+106	1.0213549471033195e+111

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.179747774177083e+291	1.773207466433362e+298
0.0ms	1.4412745029286448e+106	1.0213549471033195e+111

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4119236619746135e+211	5.273627478796374e+211

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.5302410050253227e+210	5.273627478796374e+211
0.0ms	-1.3516558743943936e+70	-4.233701709092803e+68

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.5302410050253227e+210	5.273627478796374e+211
0.0ms	-1.3516558743943936e+70	-4.233701709092803e+68

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch10.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.004026859018414635	0.019748205502420048

Samples

5.0ms

96×

valid

Compiler

Compiled 64 to 108 computations (-68.8% saved)

Precisions

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

ival-mult: 2.0ms (74.5% of total)

ival-sub: 1.0ms (37.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify51.0ms (0.6%)

Memory

18.1MiB live, 56.7MiB allocated

Algorithm

1×	egg-herbie

Rules

250×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
238×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
198×	`neg-mul-1-binary64-*.f64-neg.f64`
128×	`distribute-lft-neg-out-binary64-neg.f64-*.f64`
124×	`cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	475
1	102	475
2	125	475
3	142	475
4	170	475
5	207	475
6	247	475
7	328	475
8	490	475
9	624	475
10	707	475
11	786	475
12	849	475
13	936	475
14	948	475
15	976	475

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 z #s(literal 2400000000000000018171661943071244823682980448785665401826196917547137778514135245558927998439841183350788640463262185218427238148086190170611646464 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)))
(if (<=.f64 (.f64 z z) #s(literal 20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 3999999999999999831443609401385136528614207512386057135410071092916132616022289914504946148287614500592330451563947454856809828080168025678726105499863496711154494173799977940229033050646983792107070529102452199587840315845272602181673858644271966678327153142116021922822752784275414552936448 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 z z)) y (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999126268047442533099478043328595534943055511756777559563988209287873078382592034326362324854365499795938402118056640712065861492564306345232703423519513081852561691219043115277313863990539439833088 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 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 z #s(literal -4 binary64)) y) z))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))))
(if (<=.f64 (.f64 x x) #s(literal 4842270319348757/1152921504606846976 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #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 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal 4 binary64) y))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 z #s(literal 2400000000000000018171661943071244823682980448785665401826196917547137778514135245558927998439841183350788640463262185218427238148086190170611646464 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)))
(if (<=.f64 z #s(literal 2400000000000000018171661943071244823682980448785665401826196917547137778514135245558927998439841183350788640463262185218427238148086190170611646464 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal 4 binary64) y))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z)))
(if (<=.f64 (.f64 z z) #s(literal 20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 3999999999999999831443609401385136528614207512386057135410071092916132616022289914504946148287614500592330451563947454856809828080168025678726105499863496711154494173799977940229033050646983792107070529102452199587840315845272602181673858644271966678327153142116021922822752784275414552936448 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 z z)) y (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))))
(if (<=.f64 (.f64 z z) #s(literal 20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 3999999999999999831443609401385136528614207512386057135410071092916132616022289914504946148287614500592330451563947454856809828080168025678726105499863496711154494173799977940229033050646983792107070529102452199587840315845272602181673858644271966678327153142116021922822752784275414552936448 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 z z)) y (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999126268047442533099478043328595534943055511756777559563988209287873078382592034326362324854365499795938402118056640712065861492564306345232703423519513081852561691219043115277313863990539439833088 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999126268047442533099478043328595534943055511756777559563988209287873078382592034326362324854365499795938402118056640712065861492564306345232703423519513081852561691219043115277313863990539439833088 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z)))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 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 z #s(literal -4 binary64)) y) z))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 t (.f64 #s(literal 4 binary64) y))) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 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 #s(literal -4 binary64) z) y) z))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 t (.f64 #s(literal 4 binary64) y))) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 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 z z) y) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 4842270319348757/1152921504606846976 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 4842270319348757/1152921504606846976 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 t (.f64 #s(literal 4 binary64) y))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

soundness1.4s (16%)

Memory

-5.9MiB live, 594.7MiB allocated

Rules

17 830×	`lower-fma.f64`
17 830×	`lower-fma.f32`
10 190×	`lower-fma.f64`
10 190×	`lower-fma.f32`
8 544×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	1178
1	206	1178
2	665	938
3	2619	938
4	7859	938
0	8348	900
0	277	6951
1	865	6436
2	2710	6002
3	6209	5869
0	8538	5571
0	11	28
0	17	28
1	56	28
2	422	28
3	5357	28
0	8525	27
0	35	186
0	58	182
1	205	169
2	1541	169
0	8509	164

Stop Event

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

Compiler

Compiled 417 to 256 computations (38.6% saved)

preprocess225.0ms (2.5%)

Memory

4.8MiB live, 202.1MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 708 to 272 computations (61.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	76	475
1	102	475
2	125	475
3	142	475
4	170	475
5	207	475
6	247	475
7	328	475
8	490	475
9	624	475
10	707	475
11	786	475
12	849	475
13	936	475
14	948	475
15	976	475

Iter	Nodes	Cost
0	76	475
1	102	475
2	125	475
3	142	475
4	170	475
5	207	475
6	247	475
7	328	475
8	490	475
9	624	475
10	707	475
11	786	475
12	849	475
13	936	475
14	948	475
15	976	475

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (12.3%)

explain132.0ms (1.5%)

preprocess265.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify53.0ms (0.6%)

localize46.0ms (0.5%)

series13.0ms (0.1%)

simplify169.0ms (1.9%)

rewrite336.0ms (3.8%)

eval49.0ms (0.6%)

prune76.0ms (0.9%)

simplify396.0ms (4.5%)

localize110.0ms (1.2%)

series74.0ms (0.8%)

simplify284.0ms (3.2%)

rewrite643.0ms (7.3%)

eval471.0ms (5.3%)

prune228.0ms (2.6%)

simplify370.0ms (4.2%)

localize117.0ms (1.3%)

series56.0ms (0.6%)

simplify151.0ms (1.7%)

rewrite183.0ms (2.1%)

eval163.0ms (1.8%)

prune68.0ms (0.8%)

simplify117.0ms (1.3%)

localize61.0ms (0.7%)

series48.0ms (0.5%)

simplify252.0ms (2.9%)

rewrite281.0ms (3.2%)

eval172.0ms (2%)

prune27.0ms (0.3%)

regimes208.0ms (2.4%)

regimes123.0ms (1.4%)

regimes95.0ms (1.1%)

regimes11.0ms (0.1%)

regimes57.0ms (0.6%)

regimes44.0ms (0.5%)

regimes2.0ms (0%)

regimes29.0ms (0.3%)

regimes11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

bsearch32.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch10.0ms (0.1%)

simplify51.0ms (0.6%)

soundness1.4s (16%)

preprocess225.0ms (2.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	76	475
1	102	475
2	125	475
3	142	475
4	170	475
5	207	475
6	247	475
7	328	475
8	490	475
9	624	475
10	707	475
11	786	475
12	849	475
13	936	475
14	948	475
15	976	475