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

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	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)

sample1.2s (11.5%)

Memory

27.5MiB live, 1 587.5MiB allocated

Samples

945.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 714.0ms

ival-mult: 576.0ms (80.6% of total)

ival-sub: 124.0ms (17.4% of total)

ival-true: 6.0ms (0.8% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess262.0ms (2.4%)

Memory

16.2MiB live, 171.1MiB 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)

explain156.0ms (1.4%)

Memory

-22.5MiB live, 234.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	*no**	13	0
`-.f64`	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`	nan-rescue	12	0
↳	`(*.f64 x x)`	overflow	67
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	86
↳	`(-.f64 (*.f64 z z) t)`	overflow	65
↳	`(*.f64 z z)`	overflow	65

Confusion

	Predicted +	Predicted -
+	23	0
-	2	231

Precision

0.92

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	0
-	2	0	231

Precision?

0.92

Recall?

1.0

Freqs

test

number	freq
0	231
1	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 120 to 48 computations (60% saved)

Precisions

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

ival-mult: 15.0ms (71.8% of total)

ival-sub: 5.0ms (23.9% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.2%	(-.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)

simplify79.0ms (0.7%)

Memory

5.8MiB live, 83.1MiB 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

localize34.0ms (0.3%)

Memory

-20.4MiB live, 58.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 (*.f64 z z) t)
✓	accuracy	95.7%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
✓	accuracy	95.2%	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Samples

24.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (79.1% of total)

ival-sub: 2.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

5 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

simplify421.0ms (3.9%)

Memory

-34.8MiB live, 536.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite429.0ms (4%)

Memory

19.3MiB live, 575.4MiB 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	33
0	17	33
1	56	33
2	422	33
3	5357	33
0	8525	32

Stop Event

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

Counts

5 → 262

Calls

Call 1

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

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

eval47.0ms (0.4%)

Memory: 29.8MiB live, 139.0MiB allocated
Compiler: Compiled 14 103 to 873 computations (93.8% saved)

prune58.0ms (0.5%)

Memory

0.3MiB live, 161.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

100.0%

Counts

395 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.0%	(-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.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))))))
▶	55.4%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (/.f64 (-.f64 (.f64 t t) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (neg.f64 t) (.f64 z z)))))
	69.9%	(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 z (.f64 y (*.f64 #s(literal 4 binary64) z)))))
▶	70.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))
▶	65.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (*.f64 x x)))
	65.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y)))
	34.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
▶	42.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	37.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z))))

Compiler

Compiled 294 to 178 computations (39.5% saved)

simplify423.0ms (3.9%)

Memory

-37.1MiB live, 372.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (neg.f64 t) (*.f64 z z))
✓	cost-diff	128	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (/.f64 (-.f64 (.f64 t t) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (neg.f64 t) (.f64 z z)))))
✓	cost-diff	256	(-.f64 (.f64 t t) (.f64 z (.f64 z (.f64 z z))))
✓	cost-diff	1920	(/.f64 (-.f64 (.f64 t t) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (neg.f64 t) (*.f64 z z)))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 y (.f64 z z))
✓	cost-diff	0	(fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (*.f64 x x))
✓	cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (*.f64 x x)))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 y (.f64 z z))
✓	cost-diff	0	(.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z)))
✓	cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 t #s(literal 4 binary64))
✓	cost-diff	0	(fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))
✓	cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))

Rules

7 658×	`lower-fma.f32`
7 654×	`lower-fma.f64`
3 200×	`lower-*.f32`
3 180×	`lower-*.f64`
1 536×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	263
0	51	240
1	103	232
2	249	232
3	754	230
4	2556	214
5	5976	214
0	8107	208

Stop Event

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

Calls

Call 1

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

localize101.0ms (0.9%)

Memory

28.7MiB live, 217.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.7%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (/.f64 (-.f64 (.f64 t t) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (neg.f64 t) (.f64 z z)))))
✓	accuracy	95.2%	(.f64 (.f64 y #s(literal 4 binary64)) (/.f64 (-.f64 (.f64 t t) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (neg.f64 t) (*.f64 z z))))
✓	accuracy	92.3%	(-.f64 (.f64 t t) (.f64 z (.f64 z (.f64 z z))))
✓	accuracy	43.6%	(/.f64 (-.f64 (.f64 t t) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (neg.f64 t) (*.f64 z z)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	96.3%	(fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (*.f64 x x))
✓	accuracy	90.8%	(.f64 y (.f64 z z))
✓	accuracy	73.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z)))
✓	accuracy	90.8%	(.f64 y (.f64 z z))
✓	accuracy	40.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	42.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 t #s(literal 4 binary64))
✓	accuracy	99.6%	(fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))
✓	accuracy	70.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))

Samples

52.0ms

256×

valid

Compiler

Compiled 235 to 29 computations (87.7% saved)

Precisions

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

ival-mult: 21.0ms (63.2% of total)

ival-sub: 6.0ms (18% of total)

ival-div: 2.0ms (6% of total)

ival-add: 2.0ms (6% of total)

ival-neg: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (0.5%)

Memory

-6.2MiB live, 103.0MiB allocated

Counts

16 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
8.0ms	t	@	-inf	(- (neg t) (* z z))
3.0ms	x	@	0	(- (* x x) (* (* y 4) (/ (- (* t t) (* z (* z (* z z)))) (- (neg t) (* z z)))))
3.0ms	y	@	0	(* -4 (* y (* z z)))
1.0ms	y	@	inf	(+ (* y (* t 4)) (* x x))
1.0ms	y	@	0	(* (* y 4) (/ (- (* t t) (* z (* z (* z z)))) (- (neg t) (* z z))))

simplify448.0ms (4.1%)

Memory

-10.7MiB live, 481.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 598×	`lower-fma.f64`
9 598×	`lower-fma.f32`
5 460×	`lower-*.f64`
5 460×	`lower-*.f32`
2 122×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	4858
1	490	4852
2	1587	4780
3	5019	4762
0	8895	4455

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

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

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

rewrite452.0ms (4.2%)

Memory

19.4MiB live, 667.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 614×	`lower-fma.f32`
7 610×	`lower-fma.f64`
4 330×	`lower-*.f32`
4 310×	`lower-*.f64`
4 146×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	206
0	51	187
1	193	163
2	1551	163
0	8436	157

Stop Event

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

Counts

16 → 599

Calls

Call 1

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

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 t (.f64 y #s(literal 4 binary64)) (.f64 x x)))
(+.f64 (.f64 x x) (.f64 y (*.f64 #s(literal 4 binary64) t)))
(+.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (*.f64 x x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (.f64 #s(literal 4 binary64) t)))) (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (*.f64 #s(literal 4 binary64) t)))))
(fma.f64 x x (.f64 y (.f64 #s(literal 4 binary64) t)))
(fma.f64 y (.f64 #s(literal 4 binary64) t) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 y t) (.f64 x x))
(fma.f64 t (.f64 y #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x))
(fma.f64 (.f64 y #s(literal 4 binary64)) t (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (*.f64 x x)))))
(fma.f64 (.f64 y t) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 y (.f64 #s(literal 4 binary64) t)))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 y (.f64 #s(literal 4 binary64) t))) (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (.f64 (.f64 #s(literal 4 binary64) t) (.f64 y (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t (.f64 y #s(literal 4 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (.f64 (.f64 #s(literal 4 binary64) t) (.f64 y (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 #s(literal 4 binary64) t))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (.f64 y #s(literal 4 binary64)) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 y (.f64 #s(literal 4 binary64) t))) (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))))) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (.f64 (.f64 #s(literal 4 binary64) t) (.f64 y (.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y))) (-.f64 (.f64 x x) (.f64 y (.f64 #s(literal 4 binary64) t))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) (.f64 (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 y (.f64 #s(literal 4 binary64) t))) (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (neg.f64 (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)))) (neg.f64 (-.f64 (.f64 x x) (.f64 y (.f64 #s(literal 4 binary64) t)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) (.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x)))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 t t) #s(literal 16 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) t)) (*.f64 x x)))))
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eval229.0ms (2.1%)

Memory: -8.3MiB live, 303.3MiB allocated
Compiler: Compiled 37 817 to 2 560 computations (93.2% saved)

prune163.0ms (1.5%)

Memory

20.0MiB live, 411.8MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 262	4	1 266
Fresh	3	1	4
Picked	1	4	5
Done	0	0	0
Total	1 266	9	1 275

Accuracy

100.0%

Counts

1 275 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.1%	(-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (*.f64 y #s(literal 4 binary64)))))
▶	34.9%	#s(approx (- (* x x) (* (* y 4) (/ (- (* t t) (* z (* z (* z z)))) (- (neg t) (* z z))))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	70.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))
✓	65.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (*.f64 x x)))
▶	65.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y)))
▶	40.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
✓	42.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	13.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64))))))
✓	37.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z))))

Compiler

Compiled 210 to 134 computations (36.2% saved)

simplify688.0ms (6.4%)

Memory

-22.4MiB live, 429.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64))))))
✓	cost-diff	192	(-.f64 (*.f64 z z) #s(literal 0 binary64))
✓	cost-diff	192	(-.f64 (.f64 z (.f64 z (*.f64 z z))) #s(literal 0 binary64))
✓	cost-diff	1664	(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(-.f64 (*.f64 z z) t)
✓	cost-diff	0	(.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y))
✓	cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y)))
✓	cost-diff	0	(*.f64 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) (/ (- (* t t) (* z (* z (* z z)))) (- (neg t) (* z z))))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (*.f64 y #s(literal 4 binary64)))))
✓	cost-diff	704	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))
✓	cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64))))

Rules

7 272×	`lower-fma.f64`
7 272×	`lower-fma.f32`
4 038×	`lower-*.f32`
4 010×	`lower-*.f64`
1 710×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	314
0	74	260
1	153	244
2	400	239
3	1425	237
4	3755	229
5	7117	229
0	8248	224

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (*.f64 y #s(literal 4 binary64)))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64))))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (- (* x x) (* (* y 4) (/ (- (* t t) (* z (* z (* z z)))) (- (neg t) (* z z))))) (.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
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64))))))
(.f64 #s(literal -4 binary64) (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))))
#s(literal -4 binary64)
(.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))))
y
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))
(-.f64 (.f64 z (.f64 z (*.f64 z z))) #s(literal 0 binary64))
(.f64 z (.f64 z (*.f64 z z)))
z
(.f64 z (.f64 z z))
(*.f64 z z)
#s(literal 0 binary64)
(-.f64 (*.f64 z z) #s(literal 0 binary64))

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

localize165.0ms (1.5%)

Memory

0.3MiB live, 272.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 z (.f64 z z))
✓	accuracy	90.8%	(.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))))
✓	accuracy	40.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64))))))
✓	accuracy	30.3%	(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) y)
✓	accuracy	100.0%	(-.f64 (*.f64 z z) t)
✓	accuracy	95.2%	(.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y))
✓	accuracy	67.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y)))
✓	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	40.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
✓	accuracy	100.0%	(*.f64 t #s(literal 4 binary64))
✓	accuracy	99.6%	(.f64 y (.f64 t #s(literal 4 binary64)))
✓	accuracy	34.9%	#s(approx (- (* x x) (* (* y 4) (/ (- (* t t) (* z (* z (* z z)))) (- (neg t) (* z z))))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64))))
✓	accuracy	95.7%	(-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (*.f64 y #s(literal 4 binary64)))))
✓	accuracy	94.4%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))

Samples

87.0ms

256×

valid

Compiler

Compiled 272 to 41 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 27.0ms (59% of total)

ival-sub: 9.0ms (19.7% of total)

ival-div: 8.0ms (17.5% of total)

exact: 1.0ms (2.2% of total)

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

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

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

series37.0ms (0.3%)

Memory

26.6MiB live, 103.6MiB allocated

Counts

23 → 600

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64))))) (patch (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (/ (- (* t t) (* z (* z (* z z)))) (- (neg t) (* z z))))) (.f64 y (.f64 t #s(literal 4 binary64)))) (patch #s(approx (- (* x x) (* (* y 4) (/ (- (* t t) (* z (* z (* z z)))) (- (neg t) (* z z))))) (.f64 y (.f64 t #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 y (.f64 t #s(literal 4 binary64))) (patch (.f64 y (.f64 t #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 t #s(literal 4 binary64)) (patch (.f64 t #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) (patch (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal -4 binary64)) z) (patch (.f64 (.f64 y #s(literal -4 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal -4 binary64)) (patch (.f64 y #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y)) (patch (.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64))) (patch (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (patch (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 z z) #s(literal 0 binary64)) (patch (-.f64 (.f64 z z) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))))) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -4 binary64) y) (patch (.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())

Outputs
#s(alt (* -4 (* t y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* t y)) (* 4 (* y (pow z 2)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* t y)) (* 4 (* y (pow z 2)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* t y)) (* 4 (* y (pow z 2)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y (pow z 2))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -4 y) (taylor -inf y) (#s(alt (.f64 #s(literal -4 binary64) y) (patch (.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -4 y) (taylor -inf y) (#s(alt (.f64 #s(literal -4 binary64) y) (patch (.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -4 y) (taylor -inf y) (#s(alt (.f64 #s(literal -4 binary64) y) (patch (.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -4 y) (taylor -inf y) (#s(alt (.f64 #s(literal -4 binary64) y) (patch (.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 y) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 y) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 y) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 y) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf y) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf y) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf y) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf y) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf y) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf y) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf y) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf y) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) (patch (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor 0 z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor 0 z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor 0 z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor 0 z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor -inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor -inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor -inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor -inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())

Calls

150 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/ (/ 1 (- (* z z) t)) (* y 4))
1.0ms	y	@	0	(* (* y -4) z)
0.0ms	z	@	inf	(/ (/ 1 (- (* z z) t)) (* y 4))
0.0ms	z	@	0	(/ (/ 1 (- (* z z) t)) (* y 4))
0.0ms	y	@	0	(/ (/ 1 (- (* z z) t)) (* y 4))

simplify479.0ms (4.4%)

Memory

-16.6MiB live, 432.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 946×	`lower-fma.f64`
8 946×	`lower-fma.f32`
5 162×	`lower-*.f64`
5 162×	`lower-*.f32`
2 794×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	6656
1	959	6555
2	3029	6384
0	8041	6037

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

Inputs
(* -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 (- (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)))
(/ -1/4 (* t y))
(- (* -1/4 (/ (pow z 2) (* (pow t 2) y))) (* 1/4 (/ 1 (* t y))))
(- (* (pow z 2) (- (* -1/4 (/ (pow z 2) (* (pow t 3) y))) (* 1/4 (/ 1 (* (pow t 2) y))))) (* 1/4 (/ 1 (* t y))))
(- (* (pow z 2) (- (* (pow z 2) (- (* -1/4 (/ (pow z 2) (* (pow t 4) y))) (* 1/4 (/ 1 (* (pow t 3) y))))) (* 1/4 (/ 1 (* (pow t 2) y))))) (* 1/4 (/ 1 (* t y))))
(/ 1/4 (* y (pow z 2)))
(/ (+ (* 1/4 (/ t (* y (pow z 2)))) (* 1/4 (/ 1 y))) (pow z 2))
(/ (- (+ (* 1/4 (/ (pow t 2) (* y (pow z 4)))) (* 1/4 (/ 1 y))) (* -1/4 (/ t (* y (pow z 2))))) (pow z 2))
(/ (- (+ (* 1/4 (/ (pow t 3) (* y (pow z 6)))) (* 1/4 (/ 1 y))) (+ (* -1/4 (/ t (* y (pow z 2)))) (* -1/4 (/ (pow t 2) (* y (pow z 4)))))) (pow z 2))
(/ 1/4 (* y (pow z 2)))
(/ (+ (* 1/4 (/ t (* y (pow z 2)))) (* 1/4 (/ 1 y))) (pow z 2))
(/ (- (+ (* 1/4 (/ (pow t 2) (* y (pow z 4)))) (* 1/4 (/ 1 y))) (* -1/4 (/ t (* y (pow z 2))))) (pow z 2))
(/ (- (+ (* 1/4 (/ (pow t 3) (* y (pow z 6)))) (* 1/4 (/ 1 y))) (+ (* -1/4 (/ t (* y (pow z 2)))) (* -1/4 (/ (pow t 2) (* y (pow z 4)))))) (pow z 2))
(/ 1/4 (* y (pow z 2)))
(+ (* 1/4 (/ t (* y (pow z 4)))) (* 1/4 (/ 1 (* y (pow z 2)))))
(+ (* t (+ (* 1/4 (/ t (* y (pow z 6)))) (* 1/4 (/ 1 (* y (pow z 4)))))) (* 1/4 (/ 1 (* y (pow z 2)))))
(+ (* t (+ (* t (+ (* 1/4 (/ t (* y (pow z 8)))) (* 1/4 (/ 1 (* y (pow z 6)))))) (* 1/4 (/ 1 (* y (pow z 4)))))) (* 1/4 (/ 1 (* y (pow z 2)))))
(/ -1/4 (* t y))
(/ (- (* -1/4 (/ (pow z 2) (* t y))) (* 1/4 (/ 1 y))) t)
(/ (- (* -1/4 (/ (pow z 4) (* (pow t 2) y))) (+ (* 1/4 (/ (pow z 2) (* t y))) (* 1/4 (/ 1 y)))) t)
(/ (- (* -1/4 (/ (pow z 6) (* (pow t 3) y))) (+ (* 1/4 (/ (pow z 2) (* t y))) (+ (* 1/4 (/ (pow z 4) (* (pow t 2) y))) (* 1/4 (/ 1 y))))) t)
(/ -1/4 (* t y))
(* -1 (/ (+ (* 1/4 (/ (pow z 2) (* t y))) (* 1/4 (/ 1 y))) t))
(* -1 (/ (+ (* -1 (/ (- (* -1/4 (/ (pow z 4) (* t y))) (* 1/4 (/ (pow z 2) y))) t)) (* 1/4 (/ 1 y))) t))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow z 6) (* t y))) (* -1/4 (/ (pow z 4) y))) t)) (* 1/4 (/ (pow z 2) y))) t)) (* 1/4 (/ 1 y))) t))
(/ 1/4 (* y (- (pow z 2) t)))
(/ 1/4 (* y (- (pow z 2) t)))
(/ 1/4 (* y (- (pow z 2) t)))
(/ 1/4 (* y (- (pow z 2) t)))
(/ 1/4 (* y (- (pow z 2) t)))
(/ 1/4 (* y (- (pow z 2) t)))
(/ 1/4 (* y (- (pow z 2) t)))
(/ 1/4 (* y (- (pow z 2) t)))
(/ 1/4 (* y (- (pow z 2) t)))
(/ 1/4 (* y (- (pow z 2) t)))
(/ 1/4 (* y (- (pow z 2) t)))
(/ 1/4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (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 (* 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)
(+ (* -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)
(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 t 2) (pow z 4))) (+ t (pow z 2))))
(- (pow x 2) (* -4 (/ (* y (- (pow t 2) (pow z 4))) (+ t (pow z 2)))))
(- (pow x 2) (* -4 (/ (* y (- (pow t 2) (pow z 4))) (+ t (pow z 2)))))
(- (pow x 2) (* -4 (/ (* y (- (pow t 2) (pow z 4))) (+ t (pow z 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (* y (- (pow t 2) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(* (pow x 2) (+ 1 (* 4 (/ (* y (- (pow t 2) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(* (pow x 2) (+ 1 (* 4 (/ (* y (- (pow t 2) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (* y (- (pow t 2) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(* (pow x 2) (+ 1 (* 4 (/ (* y (- (pow t 2) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
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(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
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(* (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)))
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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)
(- (pow z 2) t)
(- (pow z 2) t)
(- (pow z 2) t)
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
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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)
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(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
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(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
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(- (+ (* 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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(/ -1 t)
(- (* -1 (/ (pow z 2) (pow t 2))) (/ 1 t))
(- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 3))) (/ 1 (pow t 2)))) (/ 1 t))
(- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 4))) (/ 1 (pow t 3)))) (/ 1 (pow t 2)))) (/ 1 t))
(/ 1 (pow z 2))
(/ (+ 1 (/ t (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ (pow t 2) (pow z 4))) (* -1 (/ t (pow z 2)))) (pow z 2))
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(/ 1 (pow z 2))
(/ (+ 1 (/ t (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ (pow t 2) (pow z 4))) (* -1 (/ t (pow z 2)))) (pow z 2))
(/ (- (+ 1 (/ (pow t 3) (pow z 6))) (+ (* -1 (/ t (pow z 2))) (* -1 (/ (pow t 2) (pow z 4))))) (pow z 2))
(/ 1 (pow z 2))
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(/ -1 t)
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(/ (- (* -1 (/ (pow z 4) (pow t 2))) (+ 1 (/ (pow z 2) t))) t)
(/ (- (* -1 (/ (pow z 6) (pow t 3))) (+ 1 (+ (/ (pow z 2) t) (/ (pow z 4) (pow t 2))))) t)
(/ -1 t)
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(* -4 y)
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(pow z 3)
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(pow z 3)
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(pow z 3)
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Outputs
(* -4 (* t y))
(.f64 #s(literal -4 binary64) (.f64 t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z (neg.f64 z) t)))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z (neg.f64 z) t)))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z (neg.f64 z) t)))
(* 4 (* y (pow z 2)))
(.f64 y (.f64 #s(literal 4 binary64) (*.f64 z z)))
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(* -4 y)
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(* -4 y)
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(* -4 y)
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(* -4 y)
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(* -4 y)
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(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
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(pow z 3)
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(pow z 3)
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(pow z 3)
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rewrite644.0ms (6%)

Memory

-29.6MiB live, 411.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 334×	`lower-fma.f64`
4 334×	`lower-fma.f32`
4 108×	`lower-*.f32`
4 080×	`lower-*.f64`
3 920×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	254
0	74	208
1	282	185
2	2400	185
0	8712	180

Stop Event

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

Counts

23 → 1 196

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (.f64 y #s(literal 4 binary64)))
(-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t)) (*.f64 y #s(literal 4 binary64)))))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (/ (- (* t t) (* z (* z (* z z)))) (- (neg t) (* z z))))) (.f64 y (.f64 t #s(literal 4 binary64))))
(.f64 y (.f64 t #s(literal 4 binary64)))
(*.f64 t #s(literal 4 binary64))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
(.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)
(.f64 (.f64 y #s(literal -4 binary64)) z)
(*.f64 y #s(literal -4 binary64))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64)))
(-.f64 (.f64 z (.f64 z (*.f64 z z))) #s(literal 0 binary64))
(-.f64 (*.f64 z z) #s(literal 0 binary64))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (.f64 z z) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))
(*.f64 #s(literal -4 binary64) y)
(.f64 y (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))))
(.f64 z (.f64 z z))

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

eval626.0ms (5.8%)

Memory: 36.4MiB live, 500.8MiB allocated
Compiler: Compiled 68 880 to 6 761 computations (90.2% saved)

prune833.0ms (7.7%)

Memory

-2.2MiB live, 722.6MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	2 418	2	2 420
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	2 420	9	2 429

Accuracy

100.0%

Counts

2 429 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.9%	#s(approx (- (* x x) (* (* y 4) (/ (- (* t t) (* z (* z (* z z)))) (- (neg t) (* z z))))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	70.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))
✓	65.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (*.f64 x x)))
▶	12.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) #s(literal -4 binary64)) (.f64 z z)))
✓	65.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y)))
✓	40.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
✓	42.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	35.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z))))))
✓	37.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z))))

Compiler

Compiled 122 to 77 computations (36.9% saved)

simplify259.0ms (2.4%)

Memory

16.5MiB live, 332.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 y (.f64 z (.f64 z (.f64 z z))))
✓	cost-diff	0	(.f64 (.f64 y (.f64 z (.f64 z (*.f64 z z)))) #s(literal -4 binary64))
✓	cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) #s(literal -4 binary64)) (.f64 z z)))
✓	cost-diff	1664	(/.f64 (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) #s(literal -4 binary64)) (.f64 z z))
✓	cost-diff	0	(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))))
✓	cost-diff	0	(.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))
✓	cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z))))))
✓	cost-diff	1344	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))

Rules

6 292×	`lower-fma.f64`
6 292×	`lower-fma.f32`
3 608×	`lower-*.f32`
3 592×	`lower-*.f64`
2 000×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	157
0	35	139
1	77	117
2	239	101
3	853	101
4	1835	101
5	4113	101
6	7752	101
0	8120	99

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (0.7%)

Memory

-24.5MiB live, 94.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 z (.f64 z z))
✓	accuracy	90.4%	(.f64 y (.f64 z (.f64 z (.f64 z z))))
✓	accuracy	43.4%	(/.f64 (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) #s(literal -4 binary64)) (.f64 z z))
✓	accuracy	40.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) #s(literal -4 binary64)) (.f64 z z)))
✓	accuracy	99.9%	(.f64 z (.f64 z z))
✓	accuracy	90.8%	(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))))
✓	accuracy	80.8%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))
✓	accuracy	40.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z))))))

Samples

48.0ms

256×

valid

Compiler

Compiled 129 to 24 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 29.0ms (80.8% of total)

ival-div: 3.0ms (8.4% of total)

ival-sub: 2.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

25.3MiB live, 25.3MiB allocated

Counts

9 → 240

Calls

Call 1

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

Outputs
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y (- (pow z 2) t))) (taylor 0 x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (* 4 (* y (- (pow z 2) t)))) (taylor 0 x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (* 4 (* y (- (pow z 2) t)))) (taylor 0 x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (* 4 (* y (- (pow z 2) t)))) (taylor 0 x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y (- (pow z 2) t))) (taylor inf y) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) (taylor inf y) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) (taylor inf y) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) (taylor inf y) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y (- (pow z 2) t))) (taylor -inf y) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 z z)))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 z z)))))) #<representation binary64>) () ())) ())
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#s(alt (* -4 (* y (pow z 4))) (taylor -inf z) (#s(alt (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) #s(literal -4 binary64)) (patch (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y (pow z 4))) (taylor -inf z) (#s(alt (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) #s(literal -4 binary64)) (patch (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y (pow z 4))) (taylor -inf z) (#s(alt (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) #s(literal -4 binary64)) (patch (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y (pow z 4))) (taylor -inf z) (#s(alt (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) #s(literal -4 binary64)) (patch (.f64 (.f64 y (.f64 z (.f64 z (.f64 z z)))) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 y) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 y) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 y) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 y) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor inf y) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor inf y) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor inf y) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor inf y) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor -inf y) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor -inf y) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor -inf y) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor -inf y) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor inf z) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor inf z) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor inf z) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor inf z) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor -inf z) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor -inf z) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor -inf z) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor -inf z) (#s(alt (.f64 y (.f64 z (.f64 z (.f64 z z)))) (patch (.f64 y (.f64 z (.f64 z (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor 0 z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor 0 z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor 0 z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor 0 z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor -inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor -inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor -inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor -inf z) (#s(alt (.f64 z (.f64 z z)) (patch (.f64 z (.f64 z z)) #<representation binary64>) () ())) ())

Calls

60 calls:

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

simplify271.0ms (2.5%)

Memory

-25.9MiB live, 409.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 120×	`lower-fma.f64`
8 120×	`lower-fma.f32`
4 002×	`lower-*.f64`
4 002×	`lower-*.f32`
1 630×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	2056
1	181	2056
2	542	2056
3	2127	2032
4	6501	1984
0	8257	1908

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -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)))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* -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)))
(- (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 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* -4 (* y (pow z 4)))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)

Outputs
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* -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)))
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(.f64 y (.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 4 binary64))))
(* -4 (* y (pow z 4)))
(.f64 y (.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 4 binary64))))
(* -4 (* y (pow z 4)))
(.f64 y (.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 4 binary64))))
(* -4 (* y (pow z 4)))
(.f64 y (.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 4 binary64))))
(* -4 (* y (pow z 4)))
(.f64 y (.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 4 binary64))))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(* y (pow z 4))
(*.f64 y (pow.f64 z #s(literal 4 binary64)))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))

rewrite323.0ms (3%)

Memory

10.3MiB live, 534.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 318×	`lower-fma.f64`
7 318×	`lower-fma.f32`
6 230×	`lower-*.f32`
6 214×	`lower-*.f64`
3 252×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	129
0	35	107
1	120	79
2	725	79
0	8286	77

Stop Event

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

Counts

9 → 565

Calls

Call 1

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

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

eval135.0ms (1.2%)

Memory: -4.8MiB live, 182.2MiB allocated
Compiler: Compiled 12 864 to 1 260 computations (90.2% saved)

prune338.0ms (3.1%)

Memory

-131.4MiB live, 158.1MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	858	2	860
Fresh	0	0	0
Picked	2	0	2
Done	0	7	7
Total	860	9	869

Accuracy

100.0%

Counts

869 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.9%	#s(approx (- (* x x) (* (* y 4) (/ (- (* t t) (* z (* z (* z z)))) (- (neg t) (* z z))))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	70.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))
✓	65.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (*.f64 x x)))
	34.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y #s(literal -4 binary64))) z))
✓	65.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (-.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y)))
✓	40.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
✓	42.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
	40.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (/.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) z))))
✓	37.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z))))

Compiler

Compiled 345 to 140 computations (59.4% saved)

regimes92.0ms (0.9%)

Memory

-12.2MiB live, 74.3MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

10 calls:

38.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
6.0ms	y
6.0ms	(*.f64 y #s(literal 4 binary64))
6.0ms	t
6.0ms	z

Results

Accuracy	Segments	Branch
93.6%	2	`x`
91.2%	1	`y`
96.1%	2	`z`
91.2%	1	`t`
94.0%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
93.6%	2	`(*.f64 x x)`
94.0%	2	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
91.2%	1	`(*.f64 y #s(literal 4 binary64))`
96.1%	2	`(-.f64 (*.f64 z z) t)`
96.1%	2	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes52.0ms (0.5%)

Memory

4.0MiB live, 41.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

21.0ms	z
4.0ms	x
3.0ms	(*.f64 y #s(literal 4 binary64))
3.0ms	y
3.0ms	t

Results

Accuracy	Segments	Branch
84.2%	3	`y`
83.6%	3	`t`
84.2%	3	`(*.f64 y #s(literal 4 binary64))`
85.7%	2	`x`
85.7%	2	`(*.f64 x x)`
86.1%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
86.8%	4	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
91.8%	3	`z`
87.1%	3	`(-.f64 (*.f64 z z) t)`
89.9%	2	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes111.0ms (1%)

Memory

-26.5MiB live, 11.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

107.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
90.7%	3	`(*.f64 z z)`
90.7%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Memory

9.8MiB live, 9.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
86.7%	2	`z`
86.7%	2	`(*.f64 z z)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes27.0ms (0.3%)

Memory

1.8MiB live, 39.8MiB allocated

Counts

5 → 4

Calls

Call 1

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

Outputs
#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 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 x x))

Calls

10 calls:

6.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
2.0ms	t
2.0ms	x
2.0ms	z
2.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
60.2%	5	`t`
57.8%	4	`y`
57.8%	4	`(*.f64 y #s(literal 4 binary64))`
59.2%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
65.9%	5	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
64.8%	3	`(-.f64 (*.f64 z z) t)`
67.7%	4	`x`
65.4%	3	`(*.f64 x x)`
67.6%	5	`z`
65.8%	4	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes9.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.1%	5	`z`
62.3%	3	`(-.f64 (*.f64 z z) t)`
64.3%	3	`(*.f64 x x)`
64.3%	3	`x`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes14.0ms (0.1%)

Memory

-32.4MiB live, 10.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

3 calls:

10.0ms	(*.f64 z z)
2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
47.5%	3	`(*.f64 z z)`
62.1%	2	`x`
62.1%	2	`(*.f64 x x)`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes13.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
42.2%	1	`(*.f64 z z)`
42.2%	1	`y`
42.2%	1	`(*.f64 y #s(literal 4 binary64))`
42.2%	1	`t`
42.2%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
42.2%	1	`z`
42.2%	1	`(-.f64 (*.f64 z z) t)`
42.2%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
42.2%	1	`x`
42.2%	1	`(*.f64 x x)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.815404376009541e+299	+inf

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch29.0ms (0.3%)

Memory

-16.8MiB live, 18.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.865008345763659e+207	1.8999210040451145e+208
6.0ms	0.006969167927496882	0.01224678232011122

Samples

21.0ms

160×

valid

Compiler

Compiled 324 to 218 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 16.0ms (92.3% of total)

ival-sub: 1.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Memory

-2.6MiB live, 35.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.176895964810757e+149	2.9332168235538843e+158
0.0ms	0.006969167927496882	0.01224678232011122

Samples

9.0ms

144×

valid

Compiler

Compiled 401 to 265 computations (33.9% saved)

Precisions

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

ival-mult: 4.0ms (76.2% of total)

ival-sub: 1.0ms (19.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.659708977715941e+229	4.623229814188732e+234

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch45.0ms (0.4%)

Memory

24.6MiB live, 107.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	3.515628346209627e+72	4.0228633024197983e+74
15.0ms	3.496797087197912e-115	1.7135470461906012e-108
13.0ms	1.1947458591443005e-262	2.0958706105959664e-259

Samples

28.0ms

384×

valid

Compiler

Compiled 582 to 412 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (65.3% of total)

ival-sub: 5.0ms (32.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.515628346209627e+72	4.0228633024197983e+74
1.0ms	3.496797087197912e-115	1.7135470461906012e-108

Compiler

Compiled 390 to 276 computations (29.2% saved)

bsearch15.0ms (0.1%)

Memory

-29.2MiB live, 47.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2359642668672638e+145	1.6183429149955925e+149

Samples

7.0ms

128×

valid

Compiler

Compiled 164 to 122 computations (25.6% saved)

Precisions

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

ival-mult: 2.0ms (49.6% of total)

ival-sub: 1.0ms (24.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify39.0ms (0.4%)

Memory

20.7MiB live, 60.3MiB allocated

Algorithm

1×	egg-herbie

Rules

286×	`unsub-neg_binary64`
230×	`neg-mul-1_binary64`
208×	`distribute-lft-neg-in_binary64`
156×	`distribute-lft-neg-out_binary64`
128×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	450
1	89	450
2	113	450
3	131	450
4	159	450
5	190	450
6	222	450
7	315	450
8	507	450
9	624	450
10	661	450
11	788	450
12	855	450
13	916	450
14	956	450
15	993	450
16	997	450
17	1012	450

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z z) #s(literal 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)))
(if (<=.f64 z #s(literal 6456360425798343/576460752303423488 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (if (<=.f64 z #s(literal 9999999999999999818630698308109481982927274216983785721776674794699138106539424938898600659703096825493544616522696356805028364441642842329313746550197144253860793660984920822957311285732475861572950035529728 binary64)) (-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 z (.f64 y (.f64 #s(literal 4 binary64) z))))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))
(if (<=.f64 z #s(literal 6456360425798343/576460752303423488 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (if (<=.f64 z #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999836777221245888555157266854023040746648359793341285923569054049205612780991738616816940675431370589468387985186797779692394447533106893958186103920770675008711375515345125281086808706628454884068855007427340271616 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 x #s(literal 4542447123496913/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z)) (if (<=.f64 x #s(literal 279230041217001/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 3600000000000000346932921261995022522237581395144793322514947402006265856 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 x x)))))
(if (<=.f64 x #s(literal 279230041217001/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 3600000000000000346932921261995022522237581395144793322514947402006265856 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 2650000000000000101396187756351735373783440313731294181985246640815584168776758698333541360575676249122411702899612953702155596989683275296625655808 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Outputs
(if (<=.f64 (.f64 z z) #s(literal 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 t (.f64 z z)))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (*.f64 y #s(literal -4 binary64))))))
(if (<=.f64 z #s(literal 6456360425798343/576460752303423488 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (if (<=.f64 z #s(literal 9999999999999999818630698308109481982927274216983785721776674794699138106539424938898600659703096825493544616522696356805028364441642842329313746550197144253860793660984920822957311285732475861572950035529728 binary64)) (-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 z (.f64 y (.f64 #s(literal 4 binary64) z))))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))
(if (<=.f64 z #s(literal 6456360425798343/576460752303423488 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 #s(literal 4 binary64) t) (.f64 x x))) (if (<=.f64 z #s(literal 9999999999999999818630698308109481982927274216983785721776674794699138106539424938898600659703096825493544616522696356805028364441642842329313746550197144253860793660984920822957311285732475861572950035529728 binary64)) (-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 z (.f64 y (.f64 z #s(literal 4 binary64)))))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(if (<=.f64 z #s(literal 6456360425798343/576460752303423488 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (if (<=.f64 z #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))
(if (<=.f64 z #s(literal 6456360425798343/576460752303423488 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 #s(literal 4 binary64) t) (.f64 x x))) (if (<=.f64 z #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999836777221245888555157266854023040746648359793341285923569054049205612780991738616816940675431370589468387985186797779692394447533106893958186103920770675008711375515345125281086808706628454884068855007427340271616 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 19999999999999999836777221245888555157266854023040746648359793341285923569054049205612780991738616816940675431370589468387985186797779692394447533106893958186103920770675008711375515345125281086808706628454884068855007427340271616 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 #s(literal 4 binary64) t) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (*.f64 y #s(literal -4 binary64))))))
(if (<=.f64 x #s(literal 4542447123496913/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z)) (if (<=.f64 x #s(literal 279230041217001/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 3600000000000000346932921261995022522237581395144793322514947402006265856 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 x x)))))
(if (<=.f64 x #s(literal 4542447123496913/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (.f64 y #s(literal -4 binary64))))) (if (<=.f64 x #s(literal 279230041217001/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal 4 binary64) t))) (if (<=.f64 x #s(literal 3600000000000000346932921261995022522237581395144793322514947402006265856 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (.f64 y #s(literal -4 binary64))))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))))
(if (<=.f64 x #s(literal 279230041217001/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 3600000000000000346932921261995022522237581395144793322514947402006265856 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))))
(if (<=.f64 x #s(literal 279230041217001/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal 4 binary64) t))) (if (<=.f64 x #s(literal 3600000000000000346932921261995022522237581395144793322514947402006265856 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 2650000000000000101396187756351735373783440313731294181985246640815584168776758698333541360575676249122411702899612953702155596989683275296625655808 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)))
(if (<=.f64 (.f64 x x) #s(literal 2650000000000000101396187756351735373783440313731294181985246640815584168776758698333541360575676249122411702899612953702155596989683275296625655808 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal 4 binary64) t))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

soundness799.0ms (7.4%)

Memory

0.2MiB live, 480.8MiB allocated

Rules

14 692×	`lower-fma.f64`
14 692×	`lower-fma.f32`
7 614×	`lower-fma.f32`
7 610×	`lower-fma.f64`
4 378×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	206
0	51	187
1	193	163
2	1551	163
0	8436	157
0	81	1163
1	248	1151
2	805	1151
3	3618	1115
4	7068	1115
0	8356	1071

Stop Event

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

Compiler

Compiled 457 to 227 computations (50.3% saved)

preprocess57.0ms (0.5%)

Memory

15.7MiB live, 131.5MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 614 to 226 computations (63.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.2s (11.5%)

preprocess262.0ms (2.4%)

explain156.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify79.0ms (0.7%)

localize34.0ms (0.3%)

series12.0ms (0.1%)

simplify421.0ms (3.9%)

rewrite429.0ms (4%)

eval47.0ms (0.4%)

prune58.0ms (0.5%)

simplify423.0ms (3.9%)

localize101.0ms (0.9%)

series53.0ms (0.5%)

simplify448.0ms (4.1%)

rewrite452.0ms (4.2%)

eval229.0ms (2.1%)

prune163.0ms (1.5%)

simplify688.0ms (6.4%)

localize165.0ms (1.5%)

series37.0ms (0.3%)

simplify479.0ms (4.4%)

rewrite644.0ms (6%)

eval626.0ms (5.8%)

prune833.0ms (7.7%)

simplify259.0ms (2.4%)

localize75.0ms (0.7%)

series12.0ms (0.1%)

simplify271.0ms (2.5%)

rewrite323.0ms (3%)

eval135.0ms (1.2%)

prune338.0ms (3.1%)

regimes92.0ms (0.9%)

regimes52.0ms (0.5%)

regimes111.0ms (1%)

regimes6.0ms (0.1%)

regimes27.0ms (0.3%)

regimes9.0ms (0.1%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch29.0ms (0.3%)

bsearch19.0ms (0.2%)

bsearch0.0ms (0%)

bsearch45.0ms (0.4%)

bsearch1.0ms (0%)

bsearch15.0ms (0.1%)

simplify39.0ms (0.4%)

soundness799.0ms (7.4%)

preprocess57.0ms (0.5%)

end0.0ms (0%)

Profiling