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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.1s (11.5%)

Memory

-116.0MiB live, 1 501.9MiB allocated

Samples

779.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

ival-mult: 245.0ms (68.5% of total)

ival-sub: 98.0ms (27.4% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess246.0ms (2.5%)

Memory

-14.4MiB live, 167.6MiB 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 y #s(literal 4 binary64)) (-.f64 t (.f64 z z)) (*.f64 x x))

Symmetry

(abs z)

(abs x)

explain178.0ms (1.8%)

Memory

31.9MiB live, 258.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
16	-	-	`(-.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**	25	0
`-.f64`	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`	nan-rescue	16	0
↳	`(*.f64 x x)`	overflow	67
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	93
↳	`(-.f64 (*.f64 z z) t)`	overflow	72
↳	`(*.f64 z z)`	overflow	72

Confusion

	Predicted +	Predicted -
+	41	0
-	0	215

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	0
-	0	0	215

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	215
1	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

72.0ms

512×

valid

Compiler

Compiled 120 to 48 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 27.0ms (82.7% of total)

ival-sub: 5.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.5%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify92.0ms (0.9%)

Memory

-18.4MiB live, 97.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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 y #s(literal 4 binary64)) (-.f64 t (.f64 z z)) (*.f64 x x))
(*.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

localize30.0ms (0.3%)

Memory

23.4MiB live, 60.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	94.3%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
✓	accuracy	90.8%	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Samples

18.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

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

ival-mult: 6.0ms (66.2% of total)

ival-sub: 2.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

series81.0ms (0.8%)

Memory

-7.1MiB live, 28.1MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
71.0ms	y	@	0	(* (* y 4) (- (* z z) t))
1.0ms	x	@	0	(- (* x x) (* (* y 4) (- (* z z) t)))
1.0ms	y	@	0	(- (* x x) (* (* y 4) (- (* z z) t)))
1.0ms	t	@	0	(- (* x x) (* (* y 4) (- (* z z) t)))
1.0ms	z	@	inf	(- (* x x) (* (* y 4) (- (* z z) t)))

simplify562.0ms (5.8%)

Memory

24.1MiB live, 779.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	938
1	206	938
2	660	938
3	2613	938
4	7864	938
0	8350	900

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite360.0ms (3.7%)

Memory

3.4MiB live, 552.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
0	17	28
1	56	28
2	422	28
3	5357	28
0	8525	27

Stop Event

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

Counts

4 → 187

Calls

Call 1

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

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

eval39.0ms (0.4%)

Memory: -25.9MiB live, 68.8MiB allocated
Compiler: Compiled 10 110 to 542 computations (94.6% saved)

prune46.0ms (0.5%)

Memory

-11.1MiB live, 110.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

99.9%

Counts

296 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.3%	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
▶	88.0%	(fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))))
	66.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))
	59.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (*.f64 x x)))
	34.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
▶	34.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
▶	36.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	62.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))

Compiler

Compiled 216 to 136 computations (37% saved)

simplify95.0ms (1%)

Memory

6.8MiB live, 120.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 632×	`lower-fma.f32`
1 624×	`lower-fma.f64`
784×	`lower-*.f32`
762×	`lower-*.f64`
380×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	198
0	51	202
1	96	191
2	194	191
3	518	191
4	1023	191
5	1622	191
6	1844	191
7	1969	191
8	1993	191
9	1995	191
10	1995	191
0	1995	190

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize211.0ms (2.2%)

Memory

20.4MiB live, 140.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))
✓	accuracy	100.0%	(neg.f64 t)
✓	accuracy	97.3%	(fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))))
✓	accuracy	90.8%	(.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t)))
✓	accuracy	90.8%	(.f64 y (-.f64 (.f64 z z) t))
✓	accuracy	69.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(.f64 #s(literal -4 binary64) (.f64 z z))
✓	accuracy	84.9%	(.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z)))
✓	accuracy	41.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	36.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 t)
✓	accuracy	97.1%	(fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x))
✓	accuracy	95.4%	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))

Samples

175.0ms

256×

valid

Compiler

Compiled 186 to 30 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-sub: 77.0ms (60.3% of total)

ival-mult: 44.0ms (34.5% of total)

ival-add: 4.0ms (3.1% of total)

ival-neg: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.6%)

Memory

8.4MiB live, 45.6MiB allocated

Counts

19 → 564

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
28.0ms	t	@	-inf	(* -4 (* y (- (* z z) t)))
2.0ms	y	@	inf	(+ (* x x) (* y (* (+ (* z z) (neg t)) -4)))
2.0ms	y	@	0	(+ (* (* (* y -4) z) z) (+ (* -4 (* y (neg t))) (* x x)))
1.0ms	y	@	inf	(+ (* (* (* y -4) z) z) (+ (* -4 (* y (neg t))) (* x x)))
1.0ms	y	@	0	(* (* y -4) z)

simplify780.0ms (8%)

Memory

-37.4MiB live, 494.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 638×	`lower-fma.f64`
11 638×	`lower-fma.f32`
3 920×	`lower-*.f64`
3 920×	`lower-*.f32`
1 798×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	5579
1	525	5579
2	1631	5075
3	4579	4985
4	7951	4985
0	8413	4732

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

rewrite512.0ms (5.3%)

Memory

17.3MiB live, 585.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 176×	`lower-fma.f32`
9 168×	`lower-fma.f64`
3 988×	`lower-*.f32`
3 966×	`lower-*.f64`
2 384×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	168
0	51	172
1	166	161
2	1275	147
0	9291	147

Stop Event

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

Counts

19 → 803

Calls

Call 1

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

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

eval173.0ms (1.8%)

Memory: 8.9MiB live, 408.0MiB allocated
Compiler: Compiled 33 302 to 1 795 computations (94.6% saved)

prune664.0ms (6.8%)

Memory

-17.0MiB live, 381.7MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 435	5	1 440
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1 439	9	1 448

Accuracy

100.0%

Counts

1 448 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.9%	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
	65.1%	(fma.f64 x x (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (.f64 #s(literal -4 binary64) (.f64 y t))))
▶	65.8%	(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
▶	41.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
▶	34.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	34.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
✓	36.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	62.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y))))
✓	62.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))

Compiler

Compiled 204 to 128 computations (37.3% saved)

simplify104.0ms (1.1%)

Memory

4.8MiB live, 125.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

1 896×	`lower-fma.f32`
1 890×	`lower-fma.f64`
880×	`lower-*.f32`
858×	`lower-*.f64`
340×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	228
0	55	225
1	105	219
2	218	217
3	525	217
4	1096	217
5	1606	217
6	1808	217
7	2008	217
8	2098	217
9	2140	217
10	2165	217
11	2168	217
12	2170	217
0	2170	212

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize105.0ms (1.1%)

Memory

-0.9MiB live, 160.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y)))
✓	accuracy	98.8%	(fma.f64 (neg.f64 y) t (.f64 (.f64 z z) y))
✓	accuracy	84.9%	(.f64 (.f64 z z) y)
✓	accuracy	69.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y))))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) t)
✓	accuracy	97.3%	(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
✓	accuracy	90.8%	(.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t)))
✓	accuracy	49.8%	#s(approx (* (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))
✓	accuracy	100.0%	(.f64 (.f64 y #s(literal -4 binary64)) z)
✓	accuracy	100.0%	(*.f64 y #s(literal -4 binary64))
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)
✓	accuracy	41.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
✓	accuracy	100.0%	(.f64 y (.f64 t #s(literal 4 binary64)))
✓	accuracy	100.0%	(*.f64 t #s(literal 4 binary64))
✓	accuracy	34.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	accuracy	100.0%	(*.f64 y #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	95.4%	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
✓	accuracy	50.4%	#s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x))

Samples

68.0ms

256×

valid

Compiler

Compiled 188 to 34 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 34.0ms (76.4% of total)

ival-add: 5.0ms (11.2% of total)

ival-sub: 2.0ms (4.5% of total)

ival-neg: 2.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.3%)

Memory

-14.7MiB live, 61.4MiB allocated

Counts

19 → 564

Calls

Call 1

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

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

Calls

141 calls:

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

simplify404.0ms (4.1%)

Memory

38.0MiB live, 471.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16 282×	`lower-fma.f64`
16 282×	`lower-fma.f32`
5 802×	`lower-*.f64`
5 802×	`lower-*.f32`
1 770×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	5585
1	514	5135
2	1575	5081
3	5190	4991
0	8418	4738

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

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

rewrite495.0ms (5.1%)

Memory

-7.5MiB live, 351.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 512×	`lower-fma.f32`
5 506×	`lower-fma.f64`
4 554×	`lower-*.f32`
4 532×	`lower-*.f64`
3 612×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	199
0	55	196
1	188	190
2	1376	188
0	8479	185

Stop Event

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

Counts

19 → 302

Calls

Call 1

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

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

eval187.0ms (1.9%)

Memory: 16.0MiB live, 167.2MiB allocated
Compiler: Compiled 17 004 to 862 computations (94.9% saved)

prune241.0ms (2.5%)

Memory

-49.8MiB live, 167.6MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	917	0	917
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	917	9	926

Accuracy

100.0%

Counts

926 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.9%	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
▶	65.1%	(fma.f64 x x (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (.f64 #s(literal -4 binary64) (.f64 y t))))
✓	65.8%	(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
✓	41.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
✓	34.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	34.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
✓	36.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	62.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y))))
✓	62.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))

Compiler

Compiled 119 to 75 computations (37% saved)

simplify9.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal -4 binary64))
✓	cost-diff	0	(.f64 (.f64 y #s(literal -4 binary64)) z)
✓	cost-diff	0	(fma.f64 x x (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (.f64 #s(literal -4 binary64) (.f64 y t))))
✓	cost-diff	640	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (.f64 #s(literal -4 binary64) (.f64 y t)))

Rules

140×	`lower-fma.f32`
136×	`lower-fma.f64`
104×	`lower-*.f32`
96×	`lower-*.f64`
38×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
0	19	48
1	34	42
2	66	42
3	115	42
4	125	42
0	125	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (0.6%)

Memory

-3.3MiB live, 34.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal -4 binary64))
✓	accuracy	100.0%	(.f64 #s(literal -4 binary64) (.f64 y t))
✓	accuracy	98.0%	(fma.f64 x x (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (.f64 #s(literal -4 binary64) (.f64 y t))))
✓	accuracy	95.3%	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (.f64 #s(literal -4 binary64) (.f64 y t)))

Samples

21.0ms

256×

valid

Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions

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

ival-mult: 9.0ms (78.3% of total)

ival-add: 2.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

5 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

simplify436.0ms (4.5%)

Memory

24.7MiB live, 571.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 422×	`lower-fma.f64`
13 422×	`lower-fma.f32`
5 842×	`lower-*.f64`
5 842×	`lower-*.f32`
1 350×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1202
1	243	1130
2	799	1130
3	2479	1130
4	5974	1130
0	8443	1023

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite447.0ms (4.6%)

Memory

11.1MiB live, 767.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 624×	`lower-fma.f32`
10 620×	`lower-fma.f64`
5 644×	`lower-*.f32`
5 636×	`lower-*.f64`
2 606×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	19	40
1	61	34
2	469	34
3	7185	34
0	8657	32

Stop Event

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

Counts

5 → 242

Calls

Call 1

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

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

eval49.0ms (0.5%)

Memory: -2.2MiB live, 155.6MiB allocated
Compiler: Compiled 13 837 to 725 computations (94.8% saved)

prune90.0ms (0.9%)

Memory

7.0MiB live, 128.1MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	384	2	386
Fresh	0	0	0
Picked	1	0	1
Done	0	8	8
Total	385	10	395

Accuracy

100.0%

Counts

395 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.9%	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
✓	65.8%	(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
	70.4%	(fma.f64 x x #s(approx (+ (* (* (* y -4) z) z) (* -4 (* y t))) (.f64 z (.f64 y (*.f64 #s(literal -4 binary64) z)))))
✓	41.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
✓	34.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	34.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
✓	36.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	62.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y))))
✓	62.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))
	5.4%	#s(approx (+ (* x x) (+ (* (* (* y -4) z) z) (* -4 (* y t)))) (.f64 y (.f64 #s(literal -4 binary64) t)))

Compiler

Compiled 290 to 129 computations (55.5% saved)

regimes88.0ms (0.9%)

Memory

-16.3MiB live, 101.6MiB 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) (* -4 (* y t)))) (.f64 y (.f64 #s(literal -4 binary64) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))
(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (*.f64 x x)))
(fma.f64 x x #s(approx (+ (* (* (* y -4) z) z) (* -4 (* y t))) (.f64 z (.f64 y (*.f64 #s(literal -4 binary64) z)))))
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y))))
(fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))))
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
(fma.f64 x x (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (.f64 #s(literal -4 binary64) (.f64 y t))))
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))

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

Calls

10 calls:

37.0ms	(-.f64 (*.f64 z z) t)
7.0ms	y
6.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
5.0ms	(*.f64 y #s(literal 4 binary64))
5.0ms	x

Results

Accuracy	Segments	Branch
96.4%	2	`x`
96.8%	2	`y`
97.2%	2	`z`
93.3%	1	`t`
96.4%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
96.4%	2	`(*.f64 x x)`
93.3%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
96.8%	2	`(*.f64 y #s(literal 4 binary64))`
97.2%	2	`(-.f64 (*.f64 z z) t)`
97.2%	2	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes44.0ms (0.5%)

Memory

23.1MiB live, 101.4MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

6.0ms	x
5.0ms	z
4.0ms	t
4.0ms	(*.f64 y #s(literal 4 binary64))
4.0ms	y

Results

Accuracy	Segments	Branch
79.3%	3	`t`
83.4%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
87.3%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
83.1%	2	`x`
83.1%	2	`(*.f64 x x)`
82.7%	3	`y`
82.7%	3	`(*.f64 y #s(literal 4 binary64))`
93.1%	2	`z`
93.1%	2	`(*.f64 z z)`
89.3%	2	`(-.f64 (*.f64 z z) t)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes8.0ms (0.1%)

Memory

-23.6MiB live, 15.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	(*.f64 z z)
3.0ms	z

Results

Accuracy	Segments	Branch
92.0%	3	`z`
92.0%	3	`(*.f64 z z)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB 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) (* -4 (* y t)))) (.f64 y (.f64 #s(literal -4 binary64) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))
(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
87.5%	3	`(-.f64 (*.f64 z z) t)`
87.5%	2	`z`
87.5%	2	`(*.f64 z z)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes37.0ms (0.4%)

Memory

-37.9MiB live, 25.5MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

Calls

10 calls:

16.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	x
2.0ms	z
2.0ms	t
2.0ms	y

Results

Accuracy	Segments	Branch
49.6%	3	`t`
49.9%	3	`y`
49.9%	3	`(*.f64 y #s(literal 4 binary64))`
63.9%	4	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
63.7%	3	`x`
62.8%	3	`(*.f64 x x)`
59.7%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
67.3%	4	`(-.f64 (*.f64 z z) t)`
70.3%	5	`z`
67.1%	3	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes13.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

4 → 5

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
57.0%	4	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
61.5%	4	`(*.f64 x x)`
61.6%	4	`x`
60.4%	4	`(-.f64 (*.f64 z z) t)`
60.2%	3	`(*.f64 z z)`
63.4%	5	`z`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes8.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB 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) (* -4 (* y t)))) (*.f64 y (*.f64 #s(literal -4 binary64) t)))

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
58.3%	2	`(*.f64 x x)`
58.3%	2	`x`
42.0%	2	`(*.f64 z z)`
45.3%	4	`z`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes28.0ms (0.3%)

Memory

-17.4MiB live, 20.4MiB allocated

Accuracy

Total -21.0b remaining (-51.7%)

Threshold costs -21b (-51.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

10 calls:

14.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	y
2.0ms	x
1.0ms	t
1.0ms	z

Results

Accuracy	Segments	Branch
36.6%	1	`(*.f64 z z)`
36.6%	1	`z`
36.6%	1	`t`
36.6%	1	`y`
36.6%	1	`(*.f64 y #s(literal 4 binary64))`
36.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
36.6%	1	`(-.f64 (*.f64 z z) t)`
36.6%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
36.6%	1	`x`
36.6%	1	`(*.f64 x x)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.557519100964296e+289	1.696554145718867e+291

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.607130362320899e+63	4.1178445052851645e+78

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8182777895569448e+301	1.7576044746718797e+304
0.0ms	5.607130362320899e+63	4.1178445052851645e+78

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.4944393893038347e+172	6.514568284860023e+185

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch67.0ms (0.7%)

Memory

-6.4MiB live, 108.2MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	7.488077431704949e+31	2.029247275539668e+39
18.0ms	1.808504986260149e-23	1.0299900658302635e-10
13.0ms	2.0517823582240635e-207	3.801111197793161e-205
12.0ms	5.321514360015742e-265	1.378353696066419e-262

Samples

37.0ms

544×

valid

Compiler

Compiled 718 to 503 computations (29.9% saved)

Precisions

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

ival-mult: 16.0ms (74.9% of total)

ival-sub: 5.0ms (23.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	7.488077431704949e+31	2.029247275539668e+39
1.0ms	1.808504986260149e-23	1.0299900658302635e-10
0.0ms	2.0517823582240635e-207	3.801111197793161e-205
1.0ms	5.321514360015742e-265	1.378353696066419e-262

Compiler

Compiled 718 to 503 computations (29.9% saved)

bsearch12.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.6064973607212036e+72	1.0533913658855682e+74

Samples

7.0ms

112×

valid

Compiler

Compiled 160 to 116 computations (27.5% saved)

Precisions

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

ival-mult: 3.0ms (78.5% of total)

ival-sub: 1.0ms (26.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify15.0ms (0.2%)

Memory

-12.5MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	499
1	95	499
2	98	499
3	99	499

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 100000000000000006172783352786715688699437231096301125831005285053881337653967155894253917094446479669431045845149126131034590785433956171738211535366987228554259102109161882186134743033813753627273385960246277244994846257890348030815401124236704201912132575831851305036088950921132601507840 binary64)) (fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))) (fma.f64 x x #s(approx (+ ( (* (* y -4) z) z) (* -4 (* y t))) (.f64 z (.f64 y (*.f64 #s(literal -4 binary64) z))))))
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000213204190094543968723012578712679649467743338496 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (fma.f64 x x #s(approx (+ (* (* (* y -4) z) z) (* -4 (* y t))) (.f64 z (.f64 y (*.f64 #s(literal -4 binary64) z))))))
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000213204190094543968723012578712679649467743338496 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))
(if (<=.f64 (.f64 z z) #s(literal 40000000000000003307486514284232094705745107860608941345306137235330685577245426917490926656488695586868770570093062753395720267337599090797902308720426200916315558719258624 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)))
(if (<=.f64 z #s(literal 1985381767147919/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 z #s(literal 4970264567326463/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) (if (<=.f64 z #s(literal 215500602038799/633825300114114700748351602688 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 z #s(literal 23999999999999999837503676259019784192 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))))
(if (<=.f64 z #s(literal 1985381767147919/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 z #s(literal 4970264567326463/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) (if (<=.f64 z #s(literal 215500602038799/633825300114114700748351602688 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 z #s(literal 23999999999999999837503676259019784192 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))))))
(if (<=.f64 x #s(literal 1620000000000000077656042875564250587059543837719326793852283275102388224 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Outputs
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 100000000000000006172783352786715688699437231096301125831005285053881337653967155894253917094446479669431045845149126131034590785433956171738211535366987228554259102109161882186134743033813753627273385960246277244994846257890348030815401124236704201912132575831851305036088950921132601507840 binary64)) (fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))) (fma.f64 x x #s(approx (+ ( (* (* y -4) z) z) (* -4 (* y t))) (.f64 z (.f64 y (*.f64 #s(literal -4 binary64) z))))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 100000000000000006172783352786715688699437231096301125831005285053881337653967155894253917094446479669431045845149126131034590785433956171738211535366987228554259102109161882186134743033813753627273385960246277244994846257890348030815401124236704201912132575831851305036088950921132601507840 binary64)) (fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))) (fma.f64 x x #s(approx (+ ( (* (* y -4) z) z) (* -4 (* y t))) (.f64 z (.f64 y (*.f64 z #s(literal -4 binary64)))))))
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000213204190094543968723012578712679649467743338496 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (fma.f64 x x #s(approx (+ (* (* (* y -4) z) z) (* -4 (* y t))) (.f64 z (.f64 y (*.f64 #s(literal -4 binary64) z))))))
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000213204190094543968723012578712679649467743338496 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (fma.f64 x x #s(approx (+ (* (* (* y -4) z) z) (* -4 (* y t))) (.f64 z (.f64 y (*.f64 z #s(literal -4 binary64)))))))
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000213204190094543968723012578712679649467743338496 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000213204190094543968723012578712679649467743338496 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 (.f64 z z) #s(literal -4 binary64)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(if (<=.f64 (.f64 z z) #s(literal 40000000000000003307486514284232094705745107860608941345306137235330685577245426917490926656488695586868770570093062753395720267337599090797902308720426200916315558719258624 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 40000000000000003307486514284232094705745107860608941345306137235330685577245426917490926656488695586868770570093062753395720267337599090797902308720426200916315558719258624 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (*.f64 y #s(literal -4 binary64))))))
(if (<=.f64 z #s(literal 1985381767147919/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 z #s(literal 4970264567326463/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) (if (<=.f64 z #s(literal 215500602038799/633825300114114700748351602688 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 z #s(literal 23999999999999999837503676259019784192 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))))
(if (<=.f64 z #s(literal 1985381767147919/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 z #s(literal 4970264567326463/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) (if (<=.f64 z #s(literal 215500602038799/633825300114114700748351602688 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 z #s(literal 23999999999999999837503676259019784192 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (*.f64 y #s(literal -4 binary64)))))))))
(if (<=.f64 z #s(literal 1985381767147919/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 z #s(literal 4970264567326463/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) (if (<=.f64 z #s(literal 215500602038799/633825300114114700748351602688 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 z #s(literal 23999999999999999837503676259019784192 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))))))
(if (<=.f64 z #s(literal 1985381767147919/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 z #s(literal 4970264567326463/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) (if (<=.f64 z #s(literal 215500602038799/633825300114114700748351602688 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 z #s(literal 23999999999999999837503676259019784192 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 (*.f64 z z) #s(literal -4 binary64))))))))
(if (<=.f64 x #s(literal 1620000000000000077656042875564250587059543837719326793852283275102388224 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

soundness1.4s (14.5%)

Memory

32.6MiB live, 710.7MiB allocated

Rules

17 830×	`lower-fma.f64`
17 830×	`lower-fma.f32`
13 422×	`lower-fma.f64`
13 422×	`lower-fma.f32`
9 176×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	168
0	51	172
1	166	161
2	1275	147
0	9291	147
0	68	938
1	206	938
2	660	938
3	2613	938
4	7864	938
0	8350	900
0	11	28
0	17	28
1	56	28
2	422	28
3	5357	28
0	8525	27
0	73	1202
1	243	1130
2	799	1130
3	2479	1130
4	5974	1130
0	8443	1023

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×	node limit
1×	iter limit

Compiler

Compiled 530 to 258 computations (51.3% saved)

preprocess92.0ms (0.9%)

Memory

-13.9MiB live, 218.9MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 668 to 238 computations (64.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.1s (11.5%)

preprocess246.0ms (2.5%)

explain178.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify92.0ms (0.9%)

localize30.0ms (0.3%)

series81.0ms (0.8%)

simplify562.0ms (5.8%)

rewrite360.0ms (3.7%)

eval39.0ms (0.4%)

prune46.0ms (0.5%)

simplify95.0ms (1%)

localize211.0ms (2.2%)

series62.0ms (0.6%)

simplify780.0ms (8%)

rewrite512.0ms (5.3%)

eval173.0ms (1.8%)

prune664.0ms (6.8%)

simplify104.0ms (1.1%)

localize105.0ms (1.1%)

series31.0ms (0.3%)

simplify404.0ms (4.1%)

rewrite495.0ms (5.1%)

eval187.0ms (1.9%)

prune241.0ms (2.5%)

simplify9.0ms (0.1%)

localize54.0ms (0.6%)

series7.0ms (0.1%)

simplify436.0ms (4.5%)

rewrite447.0ms (4.6%)

eval49.0ms (0.5%)

prune90.0ms (0.9%)

regimes88.0ms (0.9%)

regimes44.0ms (0.5%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes37.0ms (0.4%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes28.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch67.0ms (0.7%)

bsearch3.0ms (0%)

bsearch12.0ms (0.1%)

simplify15.0ms (0.2%)

soundness1.4s (14.5%)

preprocess92.0ms (0.9%)

end0.0ms (0%)

Profiling