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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.2s (17.8%)

Memory

-5.0MiB live, 1 294.9MiB allocated

Samples

663.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 376.0ms

ival-mult: 231.0ms (61.4% of total)

ival-sub: 130.0ms (34.5% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

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

Bogosity

explain208.0ms (3%)

Memory

0.2MiB live, 199.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
15	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
8	-	-	`(-.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**	15	0
`-.f64`	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`	nan-rescue	8	0
↳	`(*.f64 x x)`	overflow	69
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	79
↳	`(-.f64 (*.f64 z z) t)`	overflow	67
↳	`(*.f64 z z)`	overflow	67

Confusion

	Predicted +	Predicted -
+	22	0
-	1	233

Precision

0.9565217391304348

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	22	0	0
-	1	0	233

Precision?

0.9565217391304348

Recall?

1.0

Freqs

test

number	freq
0	233
1	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

92.0ms

512×

valid

Compiler

Compiled 140 to 48 computations (65.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 46.0ms (81% of total)

ival-sub: 10.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess304.0ms (4.4%)

Memory

5.4MiB live, 91.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	190
1	167	186
2	622	182
3	2744	182
4	5045	182
5	6397	182
6	6827	182
7	6936	182
8	6953	182
9	7292	182
10	7468	182
11	7468	182
12	7468	182
13	7468	182
0	11	13
0	17	13
1	28	13
2	79	13
3	289	13
4	699	13
5	1232	13
6	1853	13
7	2190	13
8	2259	13
9	2265	13
10	2265	13
0	2265	12

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(abs x)

Compiler

Compiled 13 to 11 computations (15.4% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.6%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify109.0ms (1.6%)

Memory

-2.0MiB live, 37.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
cost-diff	0	(*.f64 x x)
cost-diff	128	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	17	41
1	28	41
2	79	41
3	289	41
4	699	41
5	1232	41
6	1853	41
7	2190	41
8	2259	41
9	2265	41
10	2265	41
0	2265	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize82.0ms (1.2%)

Memory

-15.8MiB live, 23.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 4 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	1.8007729933208234	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
accuracy	3.556404898858185	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Samples

18.0ms

256×

valid

Compiler

Compiled 84 to 24 computations (71.4% saved)

Precisions

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

ival-mult: 6.0ms (68.1% of total)

ival-sub: 2.0ms (22.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

4 → 24

Calls

Call 1

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

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

Calls

12 calls:

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

simplify228.0ms (3.3%)

Memory

7.8MiB live, 128.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	238
1	206	238
2	685	238
3	2750	238
0	8338	226

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

rewrite179.0ms (2.6%)

Memory

-13.1MiB live, 183.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
0	17	28
1	56	28
2	422	28
3	5373	28
0	8540	27

Stop Event

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

Counts

4 → 187

Calls

Call 1

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

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

eval23.0ms (0.3%)

Memory: 12.4MiB live, 49.6MiB allocated
Compiler: Compiled 6 218 to 552 computations (91.1% saved)

prune6.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	193	6	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	194	6	200

Accuracy

100.0%

Counts

200 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))
	93.1%	(fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
▶	69.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
▶	67.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
▶	37.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
▶	28.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))

Compiler

Compiled 228 to 172 computations (24.6% saved)

simplify59.0ms (0.9%)

Memory

-15.5MiB live, 32.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	205
0	49	206
1	94	203
2	195	201
3	460	201
4	866	201
5	1309	201
6	1710	201
7	1902	201
8	1947	201
9	1953	201
10	1953	201
0	1953	196

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (1.1%)

Memory

6.8MiB live, 166.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.014003759768442016	(.f64 (.f64 z z) #s(literal -4 binary64))
accuracy	5.526612382264747	(fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
accuracy	14.232812861662493	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 t y)
accuracy	0.41015625000000006	(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
accuracy	20.491920762292775	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
accuracy	0.0	(*.f64 z z)
accuracy	0.00390625	(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
accuracy	5.720458561012781	(.f64 (.f64 z z) y)
accuracy	37.96673990770437	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
accuracy	0.0	(*.f64 t y)
accuracy	0.006191259768442017	(.f64 (.f64 t y) #s(literal 4 binary64))
accuracy	45.540922780036695	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
accuracy	0.0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.0	(neg.f64 t)
accuracy	0.41015625000000006	(fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))
accuracy	2.3671716743621496	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))

Samples

53.0ms

256×

valid

Compiler

Compiled 383 to 62 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 24.0ms (70.5% of total)

ival-add: 6.0ms (17.6% of total)

ival-sub: 2.0ms (5.9% of total)

ival-neg: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series92.0ms (1.3%)

Memory

-1.4MiB live, 37.3MiB allocated

Counts

18 → 45

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
73.0ms	y	@	0	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) -4) y) (* x x)) (* (* z z) -4) (neg t))
2.0ms	x	@	0	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) -4) y) (* x x)) (* (* z z) -4) (neg t))
2.0ms	y	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) -4) y) (* x x)) (* (* z z) -4) (neg t))
2.0ms	y	@	-inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) -4) y) (* x x)) (* (* z z) -4) (neg t))
2.0ms	z	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) -4) y) (* x x)) (* (* z z) -4) (neg t))

simplify201.0ms (2.9%)

Memory

-15.0MiB live, 228.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	544
1	395	504
2	1262	462
3	4278	452
0	8130	419

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

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

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

rewrite297.0ms (4.3%)

Memory

-19.9MiB live, 226.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	170
0	49	170
1	164	167
2	1227	167
0	8482	162

Stop Event

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

Counts

18 → 349

Calls

Call 1

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

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

eval95.0ms (1.4%)

Memory: 2.1MiB live, 78.5MiB allocated
Compiler: Compiled 13 767 to 1 228 computations (91.1% saved)

prune16.0ms (0.2%)

Memory

24.4MiB live, 24.4MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	394	3	397
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	398	5	403

Accuracy

100.0%

Counts

403 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
▶	67.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (.f64 (.f64 t y) #s(literal 4 binary64))))
✓	37.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
▶	40.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))
✓	28.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))

Compiler

Compiled 105 to 79 computations (24.8% saved)

simplify89.0ms (1.3%)

Memory

-17.1MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	121
0	34	121
1	59	121
2	123	121
3	331	121
4	718	121
5	1219	121
6	1851	121
7	2182	121
8	2251	121
9	2257	121
10	2257	121
0	2257	118

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize78.0ms (1.1%)

Memory

-0.9MiB live, 37.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 t #s(literal 4 binary64))
accuracy	0.00390625	(fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))
accuracy	20.491920762292775	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
accuracy	0.0	(*.f64 t y)
accuracy	0.006191259768442017	(.f64 (.f64 t y) #s(literal 4 binary64))
accuracy	0.5078069952111204	(fma.f64 x x (.f64 (.f64 t y) #s(literal 4 binary64)))
accuracy	20.491920762292775	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (.f64 (.f64 t y) #s(literal 4 binary64))))
accuracy	0.0	(*.f64 z y)
accuracy	0.00390625	(.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64))
accuracy	0.1171875	(.f64 (.f64 z y) z)
accuracy	37.96673990770437	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))

Samples

32.0ms

256×

valid

Compiler

Compiled 220 to 48 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 15.0ms (76.6% of total)

ival-sub: 2.0ms (10.2% of total)

ival-add: 2.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

12 → 26

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* t y) 4)) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x))
1.0ms	y	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* t y) 4)) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x))
1.0ms	y	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* t y) 4)) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x))
1.0ms	z	@	-inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* t y) 4)) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x))
1.0ms	t	@	-inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* t y) 4)) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x))

simplify318.0ms (4.6%)

Memory

-10.4MiB live, 65.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	270
1	241	266
2	785	266
3	2942	260
4	6772	260
0	8165	240

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

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

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

rewrite437.0ms (6.4%)

Memory

19.8MiB live, 177.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	110
0	34	110
1	112	110
2	732	110
0	8482	107

Stop Event

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

Counts

12 → 255

Calls

Call 1

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

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

eval46.0ms (0.7%)

Memory: -18.7MiB live, 31.0MiB allocated
Compiler: Compiled 6 627 to 585 computations (91.2% saved)

prune14.0ms (0.2%)

Memory

23.4MiB live, 23.4MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	162	6	168

Accuracy

100.0%

Counts

168 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))) t (*.f64 x x)))
✓	68.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
✓	67.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (.f64 (.f64 t y) #s(literal 4 binary64))))
✓	37.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
✓	40.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))
✓	28.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))

Compiler

Compiled 134 to 99 computations (26.1% saved)

simplify177.0ms (2.6%)

Memory

-19.9MiB live, 93.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	75
0	28	75
1	56	75
2	184	75
3	753	75
4	2725	71
5	5731	71
6	7766	71
0	8217	68

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

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

localize80.0ms (1.2%)

Memory

15.5MiB live, 56.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))) t (*.f64 x x)))
accuracy	0.05859375	(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
accuracy	3.5040781553007636	(.f64 (.f64 #s(literal -4 binary64) y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))
accuracy	4.396014215229271	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))) t (*.f64 x x))

Samples

70.0ms

256×

valid

Compiler

Compiled 140 to 42 computations (70% saved)

Precisions

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

ival-mult: 12.0ms (64.9% of total)

ival-sub: 2.0ms (10.8% of total)

ival-div: 2.0ms (10.8% of total)

ival-add: 2.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.4%)

Memory

1.9MiB live, 39.0MiB allocated

Counts

5 → 39

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	y	@	0	((+ (* (* (* -4 y) (+ (* (/ z t) z) -1)) t) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* -4 y) (+ (* (/ z t) z) -1)) (* -4 y) (+ (* (/ z t) z) -1))
2.0ms	y	@	inf	((+ (* (* (* -4 y) (+ (* (/ z t) z) -1)) t) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* -4 y) (+ (* (/ z t) z) -1)) (* -4 y) (+ (* (/ z t) z) -1))
1.0ms	z	@	inf	((+ (* (* (* -4 y) (+ (* (/ z t) z) -1)) t) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* -4 y) (+ (* (/ z t) z) -1)) (* -4 y) (+ (* (/ z t) z) -1))
1.0ms	y	@	-inf	((+ (* (* (* -4 y) (+ (* (/ z t) z) -1)) t) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* -4 y) (+ (* (/ z t) z) -1)) (* -4 y) (+ (* (/ z t) z) -1))
1.0ms	t	@	-inf	((+ (* (* (* -4 y) (+ (* (/ z t) z) -1)) t) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* -4 y) (+ (* (/ z t) z) -1)) (* -4 y) (+ (* (/ z t) z) -1))

simplify167.0ms (2.4%)

Memory

-1.8MiB live, 158.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	489
1	321	489
2	1050	487
3	4199	409
0	8877	378

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

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

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

rewrite185.0ms (2.7%)

Memory

16.2MiB live, 213.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	63
0	28	63
1	113	63
2	897	63
0	8771	62

Stop Event

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

Counts

5 → 245

Calls

Call 1

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

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

eval35.0ms (0.5%)

Memory: -9.0MiB live, 77.8MiB allocated
Compiler: Compiled 11 004 to 1 118 computations (89.8% saved)

prune9.0ms (0.1%)

Memory

-10.3MiB live, 27.6MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	262	3	265
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	264	7	271

Accuracy

100.0%

Counts

271 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) (/.f64 z t)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 4 binary64) y) (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) (/.f64 z t)))) t (*.f64 x x)))
	64.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) #s(approx (+ (* (/ z t) z) -1) (/.f64 (.f64 z z) t))) t (.f64 x x)))
✓	67.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (.f64 (.f64 t y) #s(literal 4 binary64))))
✓	37.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
✓	40.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))
✓	28.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
	43.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) #s(approx (+ (* (* (* -4 y) (+ (* (/ z t) z) -1)) t) (* x x)) (*.f64 x x)))

Compiler

Compiled 546 to 219 computations (59.9% saved)

regimes47.0ms (0.7%)

Memory

-14.9MiB live, 105.9MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
95.3%	1	`x`
97.6%	2	`y`
95.3%	1	`z`
97.6%	2	`t`
95.3%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
95.3%	1	`(*.f64 x x)`
95.3%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
97.6%	2	`(*.f64 y #s(literal 4 binary64))`
95.3%	1	`(-.f64 (*.f64 z z) t)`
95.3%	1	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes13.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
4.0ms	t
4.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
97.6%	2	`y`
97.6%	2	`(*.f64 y #s(literal 4 binary64))`
96.9%	2	`t`

Compiler

Compiled 5 to 14 computations (-180% saved)

regimes67.0ms (1%)

Memory

-12.8MiB live, 65.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

10 calls:

35.0ms	y
4.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
4.0ms	t
3.0ms	(*.f64 y #s(literal 4 binary64))
3.0ms	x

Results

Accuracy	Segments	Branch
93.1%	1	`x`
93.1%	1	`(*.f64 x x)`
93.1%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
96.1%	2	`z`
93.1%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
96.1%	2	`(-.f64 (*.f64 z z) t)`
96.1%	2	`(*.f64 z z)`
93.1%	1	`t`
93.1%	1	`y`
93.1%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes45.0ms (0.7%)

Memory

-18.4MiB live, 62.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
73.3%	2	`y`
76.8%	3	`t`
85.2%	4	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
83.7%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
73.3%	2	`(*.f64 y #s(literal 4 binary64))`
75.9%	4	`x`
72.1%	2	`(*.f64 x x)`
89.3%	3	`(-.f64 (*.f64 z z) t)`
91.6%	3	`z`
91.6%	3	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
88.5%	2	`z`
88.5%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.2%	2	`z`
88.2%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes31.0ms (0.5%)

Memory

-1.1MiB live, 38.3MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
63.7%	2	`(*.f64 x x)`
63.7%	2	`x`
54.7%	3	`y`
54.7%	3	`(*.f64 y #s(literal 4 binary64))`
53.6%	5	`t`
66.7%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
68.5%	5	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
69.6%	3	`(-.f64 (*.f64 z z) t)`
66.6%	2	`z`
66.6%	2	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes11.0ms (0.2%)

Memory

-12.3MiB live, 26.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
60.5%	2	`x`
60.5%	2	`(*.f64 x x)`
46.1%	2	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
56.4%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
43.6%	1	`z`
43.6%	1	`(*.f64 z z)`
48.1%	2	`(-.f64 (*.f64 z z) t)`

Compiler

Compiled 35 to 44 computations (-25.7% saved)

regimes10.0ms (0.2%)

Memory

30.9MiB live, 30.9MiB 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))) #s(approx (+ (* (* (* -4 y) (+ (* (/ z t) z) -1)) t) (* x x)) (*.f64 x x)))

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
43.6%	1	`z`
43.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
43.6%	1	`(-.f64 (*.f64 z z) t)`
43.6%	1	`t`
43.6%	1	`y`
43.6%	1	`(*.f64 y #s(literal 4 binary64))`
43.6%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
43.6%	1	`x`
43.6%	1	`(*.f64 x x)`

Compiler

Compiled 37 to 53 computations (-43.2% saved)

bsearch4.0ms (0.1%)

Memory

-33.7MiB live, 4.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.408352095732474e+27	9.132287969739287e+27

Samples

1.0ms

16×

valid

Compiler

Compiled 61 to 52 computations (14.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.852041618080823e-53	8.306214718604474e-50

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.170799736234382e+272	2.8159791615414222e+281

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.170799736234382e+272	2.8159791615414222e+281
0.0ms	4.812255617496752e+27	1.6554436028426142e+31

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.8314947638933483e+183	1.838550358395355e+187

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.8314947638933483e+183	1.838550358395355e+187

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3877173508978487e+212	8.60553232751533e+212
0.0ms	-1.1102182441423513e-126	-2.0956125820272863e-131

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch16.0ms (0.2%)

Memory

31.6MiB live, 31.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.031602118038839e-43	1.0048709529519434e-32

Samples

8.0ms

160×

valid

Compiler

Compiled 536 to 408 computations (23.9% saved)

Precisions

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

ival-mult: 3.0ms (67.2% of total)

ival-sub: 1.0ms (22.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify68.0ms (1%)

Memory

-14.1MiB live, 105.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	81	485
1	114	485
2	239	485
3	677	485
4	1491	479
5	3106	473

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 2000000000000000026575110144 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))) t (*.f64 x x))))
(if (<=.f64 (.f64 y #s(literal 4 binary64)) #s(literal 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 999999999999999945402341696592674884578976541955442659132610359825718694242914119314842162820675279649039207299571308833846909191138684972507989282336695782607667040225918275050684065261167516978177354790265605065466066369376850351293060923539046438669680406904714953752576 binary64)) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 4999999999999999791559868416 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 999999999999999945402341696592674884578976541955442659132610359825718694242914119314842162820675279649039207299571308833846909191138684972507989282336695782607667040225918275050684065261167516978177354790265605065466066369376850351293060923539046438669680406904714953752576 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (.f64 (.f64 t y) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -3048582568667961/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 199999999999999981918802089535075187003313837481152797173785584930544902055906602073068283476971976059139106077021332637361730559685774486324458373686555306612784812339723868076827097341330155368913559673353797632 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) #s(approx (+ (* (* (* -4 y) (+ (* (/ z t) z) -1)) t) (* x x)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 1973027210396719/365375409332725729550921208179070754913983135744 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) #s(approx (+ (* (* (* -4 y) (+ (* (/ z t) z) -1)) t) (* x x)) (*.f64 x x))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) #s(approx (+ (* (* (* -4 y) (+ (* (/ z t) z) -1)) t) (* x x)) (*.f64 x x)))

Outputs
(if (<=.f64 t #s(literal 2000000000000000026575110144 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))) t (*.f64 x x))))
(if (<=.f64 (.f64 y #s(literal 4 binary64)) #s(literal 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 999999999999999945402341696592674884578976541955442659132610359825718694242914119314842162820675279649039207299571308833846909191138684972507989282336695782607667040225918275050684065261167516978177354790265605065466066369376850351293060923539046438669680406904714953752576 binary64)) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 4999999999999999791559868416 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 999999999999999945402341696592674884578976541955442659132610359825718694242914119314842162820675279649039207299571308833846909191138684972507989282336695782607667040225918275050684065261167516978177354790265605065466066369376850351293060923539046438669680406904714953752576 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (.f64 (.f64 t y) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -3048582568667961/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 199999999999999981918802089535075187003313837481152797173785584930544902055906602073068283476971976059139106077021332637361730559685774486324458373686555306612784812339723868076827097341330155368913559673353797632 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) #s(approx (+ (* (* (* -4 y) (+ (* (/ z t) z) -1)) t) (* x x)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 1973027210396719/365375409332725729550921208179070754913983135744 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) #s(approx (+ (* (* (* -4 y) (+ (* (/ z t) z) -1)) t) (* x x)) (*.f64 x x))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) #s(approx (+ (* (* (* -4 y) (+ (* (/ z t) z) -1)) t) (* x x)) (*.f64 x x)))

soundness1.6s (22.8%)

Memory

1.0MiB live, 796.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	170
0	49	170
1	164	167
2	1227	167
0	8482	162
0	11	28
0	17	28
1	56	28
2	422	28
3	5373	28
0	8540	27
0	68	238
1	206	238
2	685	238
3	2750	238
0	8338	226
0	110	489
1	321	489
2	1050	487
3	4199	409
0	8877	378
0	79	270
1	241	266
2	785	266
3	2942	260
4	6772	260
0	8165	240

Stop Event

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

Compiler

Compiled 923 to 475 computations (48.5% saved)

preprocess78.0ms (1.1%)

Memory

17.9MiB live, 100.4MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 1 218 to 324 computations (73.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (17.8%)

explain208.0ms (3%)

preprocess304.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify109.0ms (1.6%)

localize82.0ms (1.2%)

series11.0ms (0.2%)

simplify228.0ms (3.3%)

rewrite179.0ms (2.6%)

eval23.0ms (0.3%)

prune6.0ms (0.1%)

simplify59.0ms (0.9%)

localize74.0ms (1.1%)

series92.0ms (1.3%)

simplify201.0ms (2.9%)

rewrite297.0ms (4.3%)

eval95.0ms (1.4%)

prune16.0ms (0.2%)

simplify89.0ms (1.3%)

localize78.0ms (1.1%)

series16.0ms (0.2%)

simplify318.0ms (4.6%)

rewrite437.0ms (6.4%)

eval46.0ms (0.7%)

prune14.0ms (0.2%)

simplify177.0ms (2.6%)

localize80.0ms (1.2%)

series30.0ms (0.4%)

simplify167.0ms (2.4%)

rewrite185.0ms (2.7%)

eval35.0ms (0.5%)

prune9.0ms (0.1%)

regimes47.0ms (0.7%)

regimes13.0ms (0.2%)

regimes67.0ms (1%)

regimes45.0ms (0.7%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes31.0ms (0.5%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

bsearch4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch16.0ms (0.2%)

simplify68.0ms (1%)

soundness1.6s (22.8%)

preprocess78.0ms (1.1%)

end0.0ms (0%)

Profiling