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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

sample1.5s (17.4%)

Memory

38.3MiB live, 1 325.6MiB allocated

Samples

912.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 638.0ms

ival-mult: 552.0ms (86.5% of total)

ival-sub: 73.0ms (11.4% of total)

ival-true: 5.0ms (0.8% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain240.0ms (2.7%)

Memory

18.8MiB live, 324.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
20	-	-	`(.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**	20	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	62
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	77
↳	`(-.f64 (*.f64 z z) t)`	overflow	65
↳	`(*.f64 z z)`	overflow	65

Confusion

	Predicted +	Predicted -
+	25	0
-	4	227

Precision

0.8620689655172413

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	25	0	0
-	4	0	227

Precision?

0.8620689655172413

Recall?

1.0

Freqs

test

number	freq
0	227
1	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 99 to 37 computations (62.6% saved)

Precisions

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

ival-mult: 18.0ms (78.5% of total)

ival-sub: 4.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess299.0ms (3.4%)

Memory

3.9MiB live, 120.6MiB 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: 0.6MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.5%	(-.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)

simplify64.0ms (0.7%)

Memory

4.9MiB live, 86.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize26.0ms (0.3%)

Memory

1.2MiB live, 38.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(-.f64 (*.f64 z z) t)
accuracy	1.9492125574906176	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
accuracy	4.722453645714198	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Samples

20.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (72% of total)

ival-sub: 2.0ms (24% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-12.8MiB live, 22.8MiB allocated

Counts

5 → 132

Calls

Call 1

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

Outputs
#s(alt (- (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 (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 (* 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 (* -1 t) (taylor inf t) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (pow z 2) t) 1)) (taylor inf t) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (pow z 2) t) 1)) (taylor inf t) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (pow z 2) t) 1)) (taylor inf t) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* 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 (* -1 t) (taylor -inf t) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ 1 (* -1 (/ (pow z 2) t))))) (taylor -inf t) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ 1 (* -1 (/ (pow z 2) t))))) (taylor -inf t) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ 1 (* -1 (/ (pow z 2) t))))) (taylor -inf t) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#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 (* -1 t) (taylor 0 z) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (- (pow z 2) t) (taylor 0 z) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (- (pow z 2) t) (taylor 0 z) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (- (pow z 2) t) (taylor 0 z) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#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 z 2) (taylor inf z) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) (taylor inf z) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) (taylor inf z) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) (taylor inf z) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* -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 z 2) (taylor -inf z) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) (taylor -inf z) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) (taylor -inf z) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) (taylor -inf z) (#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())) ())
#s(alt (pow 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
1.0ms	z	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	y	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	y	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	y	@	-inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	t	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))

simplify190.0ms (2.2%)

Memory

-27.7MiB live, 147.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1355
1	248	1343
2	810	1151
3	3626	1115
4	7081	1115
0	8368	1071

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

rewrite257.0ms (2.9%)

Memory

-9.3MiB live, 266.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 262

Calls

Call 1

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

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

eval89.0ms (1%)

Memory: 26.9MiB live, 96.9MiB allocated
Compiler: Compiled 10 015 to 889 computations (91.1% saved)

prune42.0ms (0.5%)

Memory

-25.5MiB live, 24.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	385	9	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	386	9	395

Accuracy

99.9%

Counts

395 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(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)))
	91.7%	(fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
▶	90.4%	(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
	48.5%	(-.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))))
	70.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
▶	63.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
	34.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
▶	42.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	34.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 200 to 182 computations (9% saved)

simplify89.0ms (1%)

Memory

18.5MiB live, 56.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 4 binary64) y)
cost-diff	0	(*.f64 x x)
cost-diff	128	(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
cost-diff	6848	(/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (.f64 z z) t) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 z z (neg.f64 t))
cost-diff	0	(*.f64 (fma.f64 z z (neg.f64 t)) y)
cost-diff	0	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 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

1 648×	`lower-fma.f32`
1 642×	`lower-fma.f64`
800×	`lower-*.f32`
780×	`lower-*.f64`
324×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	210
0	54	211
1	103	205
2	222	203
3	564	203
4	1039	203
5	1676	203
6	2103	203
7	2414	203
8	2445	203
9	2447	203
10	2447	203
0	2447	197

Stop Event

1×	iter limit
1×	saturated
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 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(*.f64 (fma.f64 z z (neg.f64 t)) y)
(fma.f64 z z (neg.f64 t))
z
(neg.f64 t)
t
y
#s(literal -4 binary64)
(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
(*.f64 x x)
x
(/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (.f64 z z) t) #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
(pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
#s(literal -1 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)))
(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 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64)))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(.f64 (.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64))
(*.f64 (fma.f64 z z (neg.f64 t)) y)
(fma.f64 z z (neg.f64 t))
z
(neg.f64 t)
t
y
#s(literal -4 binary64)
(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #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 #s(literal 4 binary64) y) (pow.f64 (-.f64 (.f64 z z) t) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 t (*.f64 z z)) y) #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
(pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))
(pow.f64 (fma.f64 z z (neg.f64 t)) #s(literal -1 binary64))
(-.f64 (*.f64 z z) t)
(fma.f64 z z (neg.f64 t))
(*.f64 z z)
z
t
#s(literal -1 binary64)

localize414.0ms (4.7%)

Memory

3.7MiB live, 124.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (*.f64 z z) t)
accuracy	0.4108261383427007	(pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))
accuracy	1.9492125574906176	(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
accuracy	4.485874414634525	(/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (.f64 z z) t) #s(literal -1 binary64)))
accuracy	0	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
accuracy	0	(neg.f64 t)
accuracy	4.724343058214288	(*.f64 (fma.f64 z z (neg.f64 t)) y)
accuracy	21.479993129145104	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
accuracy	0	(*.f64 z z)
accuracy	0.01857377930532605	(.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y))
accuracy	8.136805126633798	(.f64 (.f64 z z) y)
accuracy	40.373956307076256	#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	36.94135798294389	#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	0.8554666858302059	(fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))
accuracy	1.7070202409263837	(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

394.0ms

256×

valid

Compiler

Compiled 196 to 32 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-add: 149.0ms (83.3% of total)

ival-mult: 20.0ms (11.2% of total)

ival-sub: 3.0ms (1.7% of total)

ival-pow: 3.0ms (1.7% of total)

ival-div: 2.0ms (1.1% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.7%)

Memory

-22.6MiB live, 127.9MiB allocated

Counts

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

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

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	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) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))
5.0ms	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) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))
4.0ms	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) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))
2.0ms	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) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))
2.0ms	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) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))

simplify165.0ms (1.9%)

Memory

57.4MiB live, 313.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 970×	`lower-fma.f64`
9 970×	`lower-fma.f32`
4 186×	`lower-*.f64`
4 186×	`lower-*.f32`
2 624×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	6902
1	733	6530
2	2251	6179
3	6739	6134
0	8131	5832

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

rewrite259.0ms (3%)

Memory

-13.7MiB live, 399.3MiB allocated

Rules

13 174×	`lower-fma.f32`
13 168×	`lower-fma.f64`
4 190×	`lower-*.f32`
4 170×	`lower-*.f64`
3 294×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	176
0	54	177
1	188	169
2	1452	169
0	8450	164

Stop Event

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

Counts

20 → 870

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 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(*.f64 (fma.f64 z z (neg.f64 t)) y)
(fma.f64 z z (neg.f64 t))
(/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (.f64 z z) t) #s(literal -1 binary64)))
(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
(*.f64 #s(literal 4 binary64) y)
(neg.f64 t)
(pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))
(-.f64 (*.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 (.f64 (neg.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 #s(literal -64 binary64) (pow.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 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)) #s(literal -4 binary64)) y) (*.f64 x x))))))
(.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 (.f64 (.f64 y y) #s(literal 16 binary64)) (pow.f64 z #s(literal 4 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 (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 (pow.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (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 (-.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 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (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)) (fma.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) y) (.f64 (.f64 z z) (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))))))))
(.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))) (pow.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (pow.f64 z #s(literal 4 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))))) #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)))
(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))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 z #s(literal -4 binary64)) (.f64 z y) (.f64 (.f64 t y) #s(literal -4 binary64))) (.f64 x x))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 z #s(literal -4 binary64)) (.f64 z y) (.f64 (.f64 t y) #s(literal -4 binary64))) (.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)) (-.f64 (fma.f64 (.f64 z #s(literal -4 binary64)) (.f64 z y) (.f64 (.f64 t y) #s(literal -4 binary64))) (.f64 x x))) (/.f64 (pow.f64 (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 z #s(literal -4 binary64)) (.f64 z y) (.f64 (.f64 t y) #s(literal -4 binary64))) (.f64 x x))))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 z #s(literal -4 binary64)) (.f64 z y) (.f64 (.f64 t y) #s(literal -4 binary64))) (.f64 x x))) (/.f64 (pow.f64 (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 z #s(literal -4 binary64)) (.f64 z y) (.f64 (.f64 t y) #s(literal -4 binary64))) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x)))) (.f64 (/.f64 (.f64 (pow.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x))) (/.f64 (.f64 (pow.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x))) (/.f64 (.f64 (pow.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (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 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (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 (/.f64 (.f64 (pow.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (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 (.f64 (pow.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (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 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (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 (.f64 (pow.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (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 (-.f64 (.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (.f64 x x)) (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (.f64 x x))) (pow.f64 (.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 x x (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64))) (fma.f64 x x (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64))))) (-.f64 (.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64)) (fma.f64 x x (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.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 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.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 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 z #s(literal -4 binary64)) (.f64 z y) (.f64 (.f64 t y) #s(literal -4 binary64))) (.f64 x x))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 z #s(literal -4 binary64)) (.f64 z y) (.f64 (.f64 t y) #s(literal -4 binary64))) (.f64 x x))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 z #s(literal -4 binary64)) (.f64 z y) (.f64 (.f64 t y) #s(literal -4 binary64))) (.f64 x x))) (/.f64 (pow.f64 (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 z #s(literal -4 binary64)) (.f64 z y) (.f64 (.f64 t y) #s(literal -4 binary64))) (.f64 x x))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 z #s(literal -4 binary64)) (.f64 z y) (.f64 (.f64 t y) #s(literal -4 binary64))) (.f64 x x))) (/.f64 (pow.f64 (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 z #s(literal -4 binary64)) (.f64 z y) (.f64 (.f64 t y) #s(literal -4 binary64))) (*.f64 x x)))))))
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(-.f64 (*.f64 z z) t)
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(+.f64 #s(literal 0 binary64) (fma.f64 z z (neg.f64 t)))
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eval311.0ms (3.6%)

Memory: -9.1MiB live, 324.7MiB allocated
Compiler: Compiled 34 016 to 2 634 computations (92.3% saved)

prune92.0ms (1%)

Memory

4.3MiB live, 151.6MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1 540	9	1 549
Fresh	4	0	4
Picked	2	3	5
Done	0	0	0
Total	1 546	12	1 558

Accuracy

100.0%

Counts

1 558 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) #s(literal 16 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))))) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
▶	91.7%	(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y))
▶	70.9%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
▶	34.1%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
	63.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 #s(literal 4 binary64) y))))
✓	63.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
	36.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
▶	62.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)))
	61.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)))
✓	42.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	34.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
▶	69.2%	#s(approx (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x))

Compiler

Compiled 294 to 259 computations (11.9% saved)

simplify134.0ms (1.5%)

Memory

5.7MiB live, 160.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x)
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x)
cost-diff	0	#s(approx (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x))
cost-diff	1536	(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x)))
cost-diff	0	(.f64 #s(approx (+ ( z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)))
cost-diff	896	(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
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) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
cost-diff	0	(*.f64 t y)
cost-diff	0	(.f64 (.f64 t y) #s(literal 4 binary64))
cost-diff	0	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
cost-diff	0	(fma.f64 z z (neg.f64 t))
cost-diff	0	(*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))
cost-diff	0	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)
cost-diff	0	(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y))

Rules

10 300×	`lower-fma.f32`
10 288×	`lower-fma.f64`
4 350×	`lower-*.f32`
4 324×	`lower-*.f64`
1 638×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	378
0	83	375
1	161	368
2	376	362
3	1089	358
4	3010	322
5	6209	322
0	8376	322

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.5%)

Memory

-18.6MiB live, 328.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	5.127456300068191	(fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x)
accuracy	6.418723254397792	(.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x)
accuracy	7.894627588036803	(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x)))
accuracy	8.181967279753977	(/.f64 y (*.f64 x x))
accuracy	0.0625	(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
accuracy	3.0927880633089684	(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
accuracy	4.724343058214288	(.f64 #s(approx (+ ( z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y)
accuracy	21.479993129145104	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 t y)
accuracy	0.8554666858302059	(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
accuracy	17.647519103386642	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
accuracy	0	(*.f64 t y)
accuracy	0.014003759768442016	(.f64 (.f64 t y) #s(literal 4 binary64))
accuracy	42.186761605823115	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
accuracy	0	(*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))
accuracy	0	(neg.f64 t)
accuracy	1.4999834856333614	(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y))
accuracy	4.722453645714198	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)

Samples

97.0ms

256×

valid

Compiler

Compiled 309 to 52 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 40.0ms (53.6% of total)

ival-div: 14.0ms (18.7% of total)

ival-add: 10.0ms (13.4% of total)

ival-pow: 6.0ms (8% of total)

ival-sub: 3.0ms (4% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series132.0ms (1.5%)

Memory

-7.8MiB live, 140.2MiB allocated

Counts

21 → 720

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
35.0ms	y	@	-inf	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (+ (* z z) (neg t)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (* t y) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* x x) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (neg t) (+ (* (/ z t) z) -1) (/ y (* x x)))
8.0ms	x	@	0	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (+ (* z z) (neg t)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (* t y) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* x x) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (neg t) (+ (* (/ z t) z) -1) (/ y (* x x)))
4.0ms	t	@	-inf	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (+ (* z z) (neg t)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (* t y) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* x x) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (neg t) (+ (* (/ z t) z) -1) (/ y (* x x)))
3.0ms	y	@	0	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (+ (* z z) (neg t)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (* t y) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* x x) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (neg t) (+ (* (/ z t) z) -1) (/ y (* x x)))
3.0ms	t	@	0	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (+ (* z z) (neg t)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (* t y) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* x x) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (neg t) (+ (* (/ z t) z) -1) (/ y (* x x)))

simplify248.0ms (2.8%)

Memory

1.9MiB live, 193.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 020×	`lower-fma.f64`
11 020×	`lower-fma.f32`
5 536×	`lower-*.f64`
5 536×	`lower-*.f32`
3 268×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	266	9338
1	915	8827
2	3203	7923
0	8051	7516

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 717

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

rewrite246.0ms (2.8%)

Memory

15.7MiB live, 211.6MiB allocated

Rules

4 856×	`lower-*.f32`
4 830×	`lower-*.f64`
4 052×	`lower-fma.f32`
4 040×	`lower-fma.f64`
3 988×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	296
0	83	296
1	329	283
2	2663	283
0	8959	283

Stop Event

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

Counts

21 → 712

Calls

Call 1

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

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

eval459.0ms (5.2%)

Memory: -3.5MiB live, 350.1MiB allocated
Compiler: Compiled 34 242 to 3 868 computations (88.7% saved)

prune169.0ms (1.9%)

Memory

-0.4MiB live, 78.6MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1 472	3	1 475
Fresh	0	4	4
Picked	3	2	5
Done	0	3	3
Total	1 475	12	1 487

Accuracy

100.0%

Counts

1 487 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) #s(literal 16 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))))) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
▶	71.3%	(fma.f64 x x (.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))) y))
	30.7%	(.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 y z) #s(literal -4 binary64)) z) #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 (.f64 (.f64 (.f64 y z) #s(literal -4 binary64)) z) (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))) #s(literal -1 binary64)))
✓	34.1%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
▶	63.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 #s(literal 4 binary64) y))))
✓	63.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
▶	36.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
✓	62.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)))
▶	61.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)))
✓	42.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	34.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
▶	65.4%	#s(approx (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 #s(approx (+ ( (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (.f64 (.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z) (/.f64 z x))) x x) x))

Compiler

Compiled 316 to 250 computations (20.9% saved)

simplify138.0ms (1.6%)

Memory

22.3MiB live, 61.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (.f64 (.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z) (/.f64 z x)))
cost-diff	0	(fma.f64 #s(approx (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (.f64 (.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z) (/.f64 z x))) x x)
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (.f64 (.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z) (/.f64 z x))) x x) x)
cost-diff	0	#s(approx (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 #s(approx (+ ( (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (.f64 (.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z) (/.f64 z x))) x x) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t)))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 #s(literal 4 binary64) y))))
cost-diff	704	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 #s(literal 4 binary64) y))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 #s(literal 4 binary64) y)))
cost-diff	0	#s(approx (* (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))))
cost-diff	0	(.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)))
cost-diff	896	(.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))
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 #s(literal 4 binary64))
cost-diff	0	#s(approx (* (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64)))
cost-diff	0	(.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))) y)
cost-diff	0	(fma.f64 x x (.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))) y))

Rules

6 970×	`lower-fma.f32`
6 962×	`lower-fma.f64`
3 194×	`lower-*.f32`
3 168×	`lower-*.f64`
2 010×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	456
0	92	456
1	191	443
2	441	441
3	1105	425
4	2440	397
5	4940	397
6	7364	397
0	8069	393

Stop Event

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

Calls

Call 1

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

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

localize221.0ms (2.5%)

Memory

-12.6MiB live, 191.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.127456300068191	(fma.f64 #s(approx (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (.f64 (.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z) (/.f64 z x))) x x)
accuracy	6.418723254397792	(.f64 (fma.f64 #s(approx (+ ( (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (.f64 (.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z) (/.f64 z x))) x x) x)
accuracy	6.591619904995735	(.f64 (.f64 (/.f64 y x) #s(literal -4 binary64)) z)
accuracy	23.918699992898766	#s(approx (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (.f64 (.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z) (/.f64 z x)))
accuracy	0.313413487598654	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 #s(literal 4 binary64) y)))
accuracy	0.4108261383427007	(/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t)))
accuracy	4.555466166937549	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 #s(literal 4 binary64) y))
accuracy	21.479993129145104	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 #s(literal 4 binary64) y))))
accuracy	0	#s(approx (* (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))))
accuracy	0.0625	(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
accuracy	5.627317559834713	(.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))
accuracy	21.479993129145104	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)))
accuracy	0	(.f64 (.f64 z #s(literal -4 binary64)) y)
accuracy	0	(*.f64 z #s(literal -4 binary64))
accuracy	0.171875	(.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)
accuracy	40.373956307076256	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
accuracy	0	(*.f64 t #s(literal 4 binary64))
accuracy	1.4999834856333614	(fma.f64 x x (.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))) y))
accuracy	4.722453645714198	(.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))) y)
accuracy	30.45126417662666	#s(approx (* (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64)))

Samples

160.0ms

256×

valid

Compiler

Compiled 320 to 59 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 74.0ms (68.4% of total)

ival-add: 18.0ms (16.6% of total)

ival-div: 13.0ms (12% of total)

ival-sub: 2.0ms (1.8% of total)

ival-neg: 1.0ms (0.9% of total)

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

exact: 0.0ms (0% of total)

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

series143.0ms (1.6%)

Memory

-16.0MiB live, 99.6MiB allocated

Counts

22 → 780

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	z	@	0	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ 1 (/ (/ -1 (+ (* z z) (neg t))) (* 4 y))) (/ (/ -1 (+ (* z z) (neg t))) (* 4 y)) (- (* x x) (* (* y 4) (- (* z z) t))) (/ -1 (+ (* z z) (neg t))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (/ z t) z) -1) (* (* (/ y x) -4) z))
28.0ms	x	@	0	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ 1 (/ (/ -1 (+ (* z z) (neg t))) (* 4 y))) (/ (/ -1 (+ (* z z) (neg t))) (* 4 y)) (- (* x x) (* (* y 4) (- (* z z) t))) (/ -1 (+ (* z z) (neg t))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (/ z t) z) -1) (* (* (/ y x) -4) z))
4.0ms	y	@	-inf	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ 1 (/ (/ -1 (+ (* z z) (neg t))) (* 4 y))) (/ (/ -1 (+ (* z z) (neg t))) (* 4 y)) (- (* x x) (* (* y 4) (- (* z z) t))) (/ -1 (+ (* z z) (neg t))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (/ z t) z) -1) (* (* (/ y x) -4) z))
4.0ms	y	@	inf	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ 1 (/ (/ -1 (+ (* z z) (neg t))) (* 4 y))) (/ (/ -1 (+ (* z z) (neg t))) (* 4 y)) (- (* x x) (* (* y 4) (- (* z z) t))) (/ -1 (+ (* z z) (neg t))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (/ z t) z) -1) (* (* (/ y x) -4) z))
4.0ms	y	@	0	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ 1 (/ (/ -1 (+ (* z z) (neg t))) (* 4 y))) (/ (/ -1 (+ (* z z) (neg t))) (* 4 y)) (- (* x x) (* (* y 4) (- (* z z) t))) (/ -1 (+ (* z z) (neg t))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (/ z t) z) -1) (* (* (/ y x) -4) z))

simplify374.0ms (4.3%)

Memory

6.0MiB live, 219.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 090×	`lower-fma.f64`
8 090×	`lower-fma.f32`
5 516×	`lower-*.f64`
5 516×	`lower-*.f32`
2 368×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	459	10932
1	1494	10369
2	4988	10018
0	8161	9466

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 777

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

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

rewrite207.0ms (2.4%)

Memory

-10.5MiB live, 343.1MiB allocated

Rules

4 674×	`lower-*.f32`
4 648×	`lower-*.f64`
4 162×	`lower-/.f32`
4 150×	`lower-/.f64`
3 674×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	396
0	92	396
1	348	382
2	2566	382
0	8488	374

Stop Event

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

Counts

22 → 375

Calls

Call 1

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

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

eval157.0ms (1.8%)

Memory: 30.1MiB live, 383.8MiB allocated
Compiler: Compiled 20 221 to 2 089 computations (89.7% saved)

prune57.0ms (0.6%)

Memory

-6.7MiB live, 110.9MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 148	4	1 152
Fresh	1	1	2
Picked	2	3	5
Done	1	4	5
Total	1 152	12	1 164

Accuracy

100.0%

Counts

1 164 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) #s(literal 16 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))))) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
✓	71.3%	(fma.f64 x x (.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))) y))
✓	34.1%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
	36.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (+ (* z z) (neg t))) (* 4 y)) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 t (*.f64 z z)) y) #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) y)) z) z))))
✓	63.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
✓	36.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
	53.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (fma.f64 (/.f64 z t) (.f64 z (.f64 y t)) (*.f64 (neg.f64 y) t))) #s(literal -4 binary64)))
	63.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))
	31.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)))) #s(literal -4 binary64)))
✓	42.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	34.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
✓	65.4%	#s(approx (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 #s(approx (+ ( (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (.f64 (.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z) (/.f64 z x))) x x) x))

Compiler

Compiled 543 to 289 computations (46.8% saved)

regimes87.0ms (1%)

Memory

9.3MiB live, 167.1MiB allocated

Counts

26 → 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) (/ (* 4 y) (pow (- (* z z) t) -1))) (.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) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 x x (.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y))
(-.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 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)))) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 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 #s(approx ( (+ (* z z) (neg t)) y) (fma.f64 (/.f64 z t) (.f64 z (.f64 y t)) (*.f64 (neg.f64 y) t))) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 #s(literal 4 binary64) y))))
#s(approx (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 #s(approx (+ ( (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (.f64 (.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z) (/.f64 z x))) x x) x))
#s(approx (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (+ (* z z) (neg t))) (* 4 y)) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 t (*.f64 z z)) y) #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) y)) z) z))))
(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 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 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) #s(literal 16 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))))) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 y z) #s(literal -4 binary64)) z) #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 (.f64 (.f64 (.f64 y z) #s(literal -4 binary64)) z) (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))) #s(literal -1 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 (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (*.f64 (fma.f64 #s(approx (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (*.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z) (/.f64 z x))) x x) x))

Calls

10 calls:

12.0ms	(-.f64 (*.f64 z z) t)
11.0ms	t
10.0ms	(*.f64 x x)
9.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
98.3%	2	`x`
97.6%	2	`y`
95.6%	1	`z`
97.2%	2	`t`
97.6%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
98.3%	2	`(*.f64 x x)`
95.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
97.6%	2	`(*.f64 y #s(literal 4 binary64))`
95.6%	1	`(-.f64 (*.f64 z z) t)`
95.6%	1	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes28.0ms (0.3%)

Memory

-18.5MiB live, 59.5MiB 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) (/ (* 4 y) (pow (- (* z z) t) -1))) (.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) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 x x (.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y))
(-.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 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)))) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 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 #s(approx ( (+ (* z z) (neg t)) y) (fma.f64 (/.f64 z t) (.f64 z (.f64 y t)) (*.f64 (neg.f64 y) t))) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 #s(literal 4 binary64) y))))

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

Calls

4 calls:

8.0ms	y
7.0ms	(*.f64 x x)
6.0ms	x
6.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
97.6%	2	`y`
97.6%	2	`(*.f64 y #s(literal 4 binary64))`
97.2%	2	`x`
97.2%	2	`(*.f64 x x)`

Compiler

Compiled 8 to 19 computations (-137.5% saved)

regimes64.0ms (0.7%)

Memory

-19.4MiB live, 150.6MiB allocated

Counts

16 → 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) (/ (* 4 y) (pow (- (* z z) t) -1))) (.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) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 x x (.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y))
(-.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 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)))) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)))

Outputs
(fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) 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))

Calls

10 calls:

16.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
5.0ms	(*.f64 x x)
5.0ms	t
5.0ms	x
5.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
94.2%	2	`z`
91.7%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
94.2%	2	`(-.f64 (*.f64 z z) t)`
94.2%	2	`(*.f64 z z)`
94.1%	2	`x`
93.3%	2	`(*.f64 x x)`
91.7%	1	`t`
91.7%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
91.7%	1	`y`
91.7%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes36.0ms (0.4%)

Memory

5.1MiB live, 85.8MiB allocated

Counts

9 → 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) (/ (* 4 y) (pow (- (* z z) t) -1))) (.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) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 x x (.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))

Outputs

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
81.9%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
78.9%	3	`y`
71.3%	1	`t`
78.9%	3	`(*.f64 y #s(literal 4 binary64))`
82.9%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
88.6%	2	`(*.f64 x x)`
88.6%	2	`x`
85.0%	2	`z`
83.9%	2	`(-.f64 (*.f64 z z) t)`
85.0%	2	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes9.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB 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) (/ (* 4 y) (pow (- (* z z) t) -1))) (.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) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 x x (.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))) y))

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

Calls

3 calls:

3.0ms	x
3.0ms	(*.f64 z z)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
85.0%	2	`(*.f64 z z)`
75.0%	3	`x`
71.3%	1	`(*.f64 x x)`

Compiler

Compiled 7 to 14 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

-26.0MiB live, 13.1MiB allocated

Counts

7 → 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) (/ (* 4 y) (pow (- (* z z) t) -1))) (.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) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.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))) (*.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) y) z))

Calls

2 calls:

4.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
84.6%	2	`z`
84.6%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes24.0ms (0.3%)

Memory

23.6MiB live, 62.6MiB 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) (/ (* 4 y) (pow (- (* z z) t) -1))) (.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:

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

Results

Accuracy	Segments	Branch
59.8%	5	`t`
65.5%	3	`(*.f64 x x)`
66.6%	3	`x`
55.0%	5	`y`
55.0%	5	`(*.f64 y #s(literal 4 binary64))`
64.2%	5	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
62.4%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
66.8%	3	`(-.f64 (*.f64 z z) t)`
62.4%	3	`z`
62.4%	3	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes8.0ms (0.1%)

Memory

-23.0MiB live, 17.4MiB 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) (/ (* 4 y) (pow (- (* z z) t) -1))) (.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 #s(literal -4 binary64) (*.f64 (*.f64 z z) y)))

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

Calls

3 calls:

3.0ms	(*.f64 x x)
2.0ms	x
2.0ms	(-.f64 (*.f64 z z) t)

Results

Accuracy	Segments	Branch
65.2%	3	`(*.f64 x x)`
65.2%	3	`x`
64.3%	3	`(-.f64 (*.f64 z z) t)`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes4.0ms (0%)

Memory

11.6MiB live, 11.6MiB 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) (/ (* 4 y) (pow (- (* z z) t) -1))) (*.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

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
63.6%	2	`x`
63.6%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes14.0ms (0.2%)

Memory

-3.0MiB live, 36.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

2.0ms	t
1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	x
1.0ms	(-.f64 (*.f64 z z) t)
1.0ms	y

Results

Accuracy	Segments	Branch
42.3%	1	`y`
42.3%	1	`(*.f64 y #s(literal 4 binary64))`
42.3%	1	`t`
42.3%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
42.3%	1	`z`
42.3%	1	`(*.f64 z z)`
42.3%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
42.3%	1	`(-.f64 (*.f64 z z) t)`
42.3%	1	`x`
42.3%	1	`(*.f64 x x)`

Compiler

Compiled 40 to 58 computations (-45% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.769779330678039e+248	2.102820526255455e+250

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.26364897721828e-21	-2.7451688507249294e-24

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.19083065836533e+291	5.382229142296644e+306

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch13.0ms (0.1%)

Memory

-13.2MiB live, 26.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.493628993265996e-35	5.9076572428850984e-33

Samples

6.0ms

112×

valid

Compiler

Compiled 149 to 165 computations (-10.7% saved)

Precisions

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

ival-mult: 3.0ms (82.4% of total)

ival-sub: 1.0ms (27.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.4957359625720655e+225	4.3982316854867756e+231

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.4957359625720655e+225	4.3982316854867756e+231

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.249158263727386e+219	1.8373149466247688e+220
0.0ms	-4.998876894933555e-66	-3.74598468192542e-74

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch26.0ms (0.3%)

Memory

12.7MiB live, 51.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.9076572428850984e-33	3.9041131688090736e-29
10.0ms	1.6909142174446147e-130	1.944147132416461e-128

Samples

15.0ms

240×

valid

Compiler

Compiled 210 to 287 computations (-36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (55% of total)

ival-sub: 3.0ms (33% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Memory

-12.4MiB live, 28.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.520494639473674e+91	3.541267175436285e+96

Samples

8.0ms

128×

valid

Compiler

Compiled 80 to 138 computations (-72.5% saved)

Precisions

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

ival-mult: 4.0ms (74.8% of total)

ival-sub: 1.0ms (18.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify28.0ms (0.3%)

Memory

28.2MiB live, 67.4MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	486
1	132	486
2	140	486
3	145	486
4	148	486
5	149	486

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x x) #s(literal 499999999999999960548416541607351328777021384687611118643325884835920630831966800139023707085267707205518204055907116200520239285727065764214062887637864581182125170853648392988706023732518458057027666759600481533739104277734798607669877628825763840 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 (+ ( (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 #s(approx (+ ( (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (.f64 (.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z) (/.f64 z x))) x x) x)))
(if (<=.f64 (.f64 y #s(literal 4 binary64)) #s(literal -5316911983139663/2658455991569831745807614120560689152 binary64)) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 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))))
(if (<=.f64 (.f64 z z) #s(literal 1999999999999999915721804700692568264307103756193028567705035546458066308011144957252473074143807250296165225781973727428404914040084012839363052749931748355577247086899988970114516525323491896053535264551226099793920157922636301090836929322135983339163576571058010961411376392137707276468224 binary64)) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) 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)))
(if (<=.f64 x #s(literal 6313687073269501/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))) y)))
(if (<=.f64 (.f64 z z) #s(literal 4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 binary64)) (fma.f64 x x (.f64 #s(approx (* (+ (* z z) (neg t)) -4) (.f64 t #s(literal 4 binary64))) y)) #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 4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 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 -3794275180128377/948568795032094272909893509191171341133987714380927500611236528192824358010355712 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 3999999999999999860337555541930077670371420522504375368684174380763332745596206149268787266827198501188885912064742082910696674559779401155398489421896489381906185570301998759926193392072253116488913643936750020901994496 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 x #s(literal 1248699420126397/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 x #s(literal 8206674233059269/713623846352979940529142984724747568191373312 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 18999999999999998160950590059492040650382917974264966298834054687653246537379508925883169636352 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 x x) #s(literal 499999999999999960548416541607351328777021384687611118643325884835920630831966800139023707085267707205518204055907116200520239285727065764214062887637864581182125170853648392988706023732518458057027666759600481533739104277734798607669877628825763840 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 (+ ( (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 #s(approx (+ ( (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (.f64 (.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z) (/.f64 z x))) x x) x)))
(if (<=.f64 (.f64 x x) #s(literal 499999999999999960548416541607351328777021384687611118643325884835920630831966800139023707085267707205518204055907116200520239285727065764214062887637864581182125170853648392988706023732518458057027666759600481533739104277734798607669877628825763840 binary64)) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #s(approx (+ ( (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 #s(approx (+ ( (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (.f64 (/.f64 z x) (.f64 (*.f64 (/.f64 y x) #s(literal -4 binary64)) z))) x x) x)))
(if (<=.f64 (.f64 y #s(literal 4 binary64)) #s(literal -5316911983139663/2658455991569831745807614120560689152 binary64)) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 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))))
(if (<=.f64 (.f64 #s(literal 4 binary64) y) #s(literal -5316911983139663/2658455991569831745807614120560689152 binary64)) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 1999999999999999915721804700692568264307103756193028567705035546458066308011144957252473074143807250296165225781973727428404914040084012839363052749931748355577247086899988970114516525323491896053535264551226099793920157922636301090836929322135983339163576571058010961411376392137707276468224 binary64)) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) 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)))
(if (<=.f64 x #s(literal 6313687073269501/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 t #s(literal 4 binary64))) y)))
(if (<=.f64 x #s(literal 6313687073269501/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t)) y)))
(if (<=.f64 (.f64 z z) #s(literal 4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 binary64)) (fma.f64 x x (.f64 #s(approx (* (+ (* z z) (neg t)) -4) (.f64 t #s(literal 4 binary64))) y)) #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 4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 binary64)) (fma.f64 x x (.f64 #s(approx (* (+ (* z z) (neg t)) -4) (.f64 #s(literal 4 binary64) t)) y)) #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 4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 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 -3794275180128377/948568795032094272909893509191171341133987714380927500611236528192824358010355712 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 3999999999999999860337555541930077670371420522504375368684174380763332745596206149268787266827198501188885912064742082910696674559779401155398489421896489381906185570301998759926193392072253116488913643936750020901994496 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 -3794275180128377/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 3999999999999999860337555541930077670371420522504375368684174380763332745596206149268787266827198501188885912064742082910696674559779401155398489421896489381906185570301998759926193392072253116488913643936750020901994496 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 x #s(literal 1248699420126397/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 x #s(literal 8206674233059269/713623846352979940529142984724747568191373312 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))))
(if (<=.f64 x #s(literal 1248699420126397/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t)) (if (<=.f64 x #s(literal 8206674233059269/713623846352979940529142984724747568191373312 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 18999999999999998160950590059492040650382917974264966298834054687653246537379508925883169636352 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 18999999999999998160950590059492040650382917974264966298834054687653246537379508925883169636352 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) 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))

soundness1.3s (15.1%)

Memory

4.2MiB live, 830.8MiB allocated

Rules

14 692×	`lower-fma.f64`
14 692×	`lower-fma.f32`
13 174×	`lower-fma.f32`
13 168×	`lower-fma.f64`
11 020×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	6902
1	733	6530
2	2251	6179
3	6739	6134
0	8131	5832
0	81	1355
1	248	1343
2	810	1151
3	3626	1115
4	7081	1115
0	8368	1071
0	34	176
0	54	177
1	188	169
2	1452	169
0	8450	164
0	11	33
0	17	33
1	56	33
2	422	33
3	5357	33
0	8525	32
0	266	9338
1	915	8827
2	3203	7923
0	8051	7516

Stop Event

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

Compiler

Compiled 491 to 323 computations (34.2% saved)

preprocess116.0ms (1.3%)

Memory

11.7MiB live, 134.0MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 710 to 300 computations (57.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (17.4%)

explain240.0ms (2.7%)

preprocess299.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify64.0ms (0.7%)

localize26.0ms (0.3%)

series16.0ms (0.2%)

simplify190.0ms (2.2%)

rewrite257.0ms (2.9%)

eval89.0ms (1%)

prune42.0ms (0.5%)

simplify89.0ms (1%)

localize414.0ms (4.7%)

series57.0ms (0.7%)

simplify165.0ms (1.9%)

rewrite259.0ms (3%)

eval311.0ms (3.6%)

prune92.0ms (1%)

simplify134.0ms (1.5%)

localize134.0ms (1.5%)

series132.0ms (1.5%)

simplify248.0ms (2.8%)

rewrite246.0ms (2.8%)

eval459.0ms (5.2%)

prune169.0ms (1.9%)

simplify138.0ms (1.6%)

localize221.0ms (2.5%)

series143.0ms (1.6%)

simplify374.0ms (4.3%)

rewrite207.0ms (2.4%)

eval157.0ms (1.8%)

prune57.0ms (0.6%)

regimes87.0ms (1%)

regimes28.0ms (0.3%)

regimes64.0ms (0.7%)

regimes36.0ms (0.4%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes24.0ms (0.3%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch26.0ms (0.3%)

bsearch14.0ms (0.2%)

simplify28.0ms (0.3%)

soundness1.3s (15.1%)

preprocess116.0ms (1.3%)

end0.0ms (0%)

Profiling