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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

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)

sample1.3s (18.1%)

Memory

33.4MiB live, 1 727.3MiB allocated; 502ms collecting garbage

Samples

844.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 555.0ms

ival-mult: 451.0ms (81.3% of total)

ival-sub: 85.0ms (15.3% of total)

ival-true: 7.0ms (1.3% of total)

exact: 6.0ms (1.1% of total)

ival-assert: 4.0ms (0.7% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain172.0ms (2.5%)

Memory

4.0MiB live, 197.9MiB allocated; 33ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	*no**	16	0
`-.f64`	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`	nan-rescue	12	0
↳	`(*.f64 x x)`	overflow	64
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	88
↳	`(-.f64 (*.f64 z z) t)`	overflow	70
↳	`(*.f64 z z)`	overflow	70

Confusion

	Predicted +	Predicted -
+	28	0
-	0	228

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	28	0	0
-	0	0	228

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	228
1	28

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 99 to 37 computations (62.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 13.0ms (67.9% of total)

ival-sub: 5.0ms (26.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess42.0ms (0.6%)

Memory

-12.5MiB live, 43.4MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	190
1	141	188
2	384	188
3	922	184
4	1540	184
5	1634	184
0	11	13
0	17	13
1	32	13
2	83	13
3	184	13
4	279	13
5	325	13
0	325	12

Stop Event

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

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 (.f64 z z) t) 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; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.3%	(-.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)

simplify8.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

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	1	(-.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	32	41
2	83	41
3	184	41
4	279	41
5	325	41
0	325	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 (.f64 z z) t) 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 (*.f64 z z) t) 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

localize25.0ms (0.4%)

Memory

36.9MiB live, 36.9MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(-.f64 (*.f64 z z) t)
accuracy	2.749985550811441	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
accuracy	3.825300918264455	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Samples

19.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

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

ival-mult: 6.0ms (65.8% of total)

ival-sub: 2.0ms (21.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series46.0ms (0.7%)

Memory

-18.1MiB live, 25.1MiB allocated; 11ms collecting garbage

Counts

5 → 31

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	x	@	-inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
2.0ms	y	@	-inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	y	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	y	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	x	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))

simplify260.0ms (3.7%)

Memory

-3.6MiB live, 184.2MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	339
1	238	325
2	840	324
3	4346	322
0	8161	303

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

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

rewrite173.0ms (2.5%)

Memory

22.8MiB live, 250.4MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
0	17	33
1	60	33
2	456	33
3	5736	33
0	8267	32

Stop Event

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

Counts

5 → 216

Calls

Call 1

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

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

eval34.0ms (0.5%)

Memory: 10.0MiB live, 111.7MiB allocated; 16ms collecting garbage
Compiler: Compiled 6 757 to 688 computations (89.8% saved)

prune15.0ms (0.2%)

Memory

6.9MiB live, 51.8MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	225	14	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	226	14	240

Accuracy

95.2%

Counts

240 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.0%	(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal 4 binary64) y) (*.f64 x x))
▶	89.7%	(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (*.f64 x x))
	52.8%	(-.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) y)) (fma.f64 z z t)))
	26.9%	(-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) y)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
	84.4%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- ( z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
	83.7%	(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal 4 binary64) t) #s(literal -4 binary64))) t)))
	11.3%	(.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) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
	89.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x)))
	65.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
	64.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
▶	64.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 (.f64 z z) t) x)) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x)))
▶	61.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
	36.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
▶	30.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))

Compiler

Compiled 708 to 476 computations (32.8% saved)

simplify173.0ms (2.5%)

Memory

2.7MiB live, 238.6MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	243
0	51	243
1	102	240
2	242	240
3	556	240
4	2030	240
5	5634	240
0	8576	240

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (2.8%)

Memory

-15.4MiB live, 151.7MiB allocated; 17ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.006191259768442017	(.f64 #s(literal -4 binary64) (/.f64 (-.f64 (.f64 z z) t) x))
accuracy	3.79281944901737	(/.f64 (-.f64 (*.f64 z z) t) x)
accuracy	4.5313651891292395	(fma.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 (.f64 z z) t) x)) (/.f64 y x) #s(literal 1 binary64))
accuracy	17.588396424332316	(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 (.f64 z z) t) x)) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 4 binary64) y)
accuracy	0.00390625	(-.f64 (*.f64 z z) t)
accuracy	5.3038655590000054	(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal 4 binary64) y) (*.f64 x x))
accuracy	0.00390625	(-.f64 (*.f64 z z) t)
accuracy	0.012382519536884034	(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
accuracy	3.826505980267283	(.f64 (-.f64 (.f64 z z) t) y)
accuracy	21.347459410783504	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
accuracy	0.0	(*.f64 t y)
accuracy	0.01857377930532605	(.f64 (.f64 t y) #s(literal 4 binary64))
accuracy	44.80759518733718	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.00390625	(-.f64 (*.f64 z z) t)
accuracy	6.279305411991604	(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (*.f64 x x))

Samples

174.0ms

256×

valid

Compiler

Compiled 214 to 31 computations (85.5% saved)

Precisions

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

ival-mult: 22.0ms (47.7% of total)

ival-add: 18.0ms (39.1% of total)

ival-div: 3.0ms (6.5% of total)

ival-sub: 2.0ms (4.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series81.0ms (1.2%)

Memory

8.3MiB live, 96.1MiB allocated; 10ms collecting garbage

Counts

18 → 93

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
48.0ms	x	@	0	((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (+ (* (- (* z z) t) (* 4 y)) (* x x)) (* 4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* -4 (/ (- (* z z) t) x)) (* x x) (/ (- (* z z) t) x))
5.0ms	z	@	0	((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (+ (* (- (* z z) t) (* 4 y)) (* x x)) (* 4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* -4 (/ (- (* z z) t) x)) (* x x) (/ (- (* z z) t) x))
4.0ms	z	@	-inf	((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (+ (* (- (* z z) t) (* 4 y)) (* x x)) (* 4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* -4 (/ (- (* z z) t) x)) (* x x) (/ (- (* z z) t) x))
3.0ms	z	@	inf	((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (+ (* (- (* z z) t) (* 4 y)) (* x x)) (* 4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* -4 (/ (- (* z z) t) x)) (* x x) (/ (- (* z z) t) x))
3.0ms	t	@	inf	((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (+ (* (- (* z z) t) (* 4 y)) (* x x)) (* 4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* -4 (/ (- (* z z) t) x)) (* x x) (/ (- (* z z) t) x))

simplify213.0ms (3%)

Memory

-12.3MiB live, 265.1MiB allocated; 74ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	1222
1	759	1177
2	2963	1144
0	8868	1075

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 93

Calls

Call 1

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

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

rewrite173.0ms (2.5%)

Memory

-2.4MiB live, 226.5MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	187
0	51	187
1	171	184
2	1189	184
0	8704	184

Stop Event

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

Counts

18 → 484

Calls

Call 1

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

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

eval164.0ms (2.3%)

Memory: -13.0MiB live, 168.9MiB allocated; 100ms collecting garbage
Compiler: Compiled 22 524 to 1 837 computations (91.8% saved)

prune25.0ms (0.4%)

Memory

-1.0MiB live, 87.9MiB allocated; 10ms collecting garbage

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	589	7	596
Fresh	5	4	9
Picked	2	3	5
Done	0	0	0
Total	596	14	610

Accuracy

100.0%

Counts

610 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.7%	(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (*.f64 x x))
	11.3%	(.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) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
▶	89.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x)))
▶	65.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
	65.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
	11.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (.f64 y #s(literal -4 binary64))) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))
✓	61.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
▶	36.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
✓	30.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
▶	18.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -4 binary64)) z) z)) (*.f64 x x)))
	39.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
	61.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 y (fma.f64 z (/.f64 z t) #s(literal -1 binary64))) t)) #s(literal -4 binary64)))
	74.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) #s(approx (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (.f64 (fma.f64 (/.f64 (.f64 y t) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))))
▶	5.2%	#s(approx (+ (* (- (* z z) t) (* 4 y)) (* x x)) (.f64 (.f64 y t) #s(literal -4 binary64)))

Compiler

Compiled 826 to 524 computations (36.6% saved)

simplify323.0ms (4.6%)

Memory

-4.8MiB live, 279.4MiB allocated; 57ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	320
0	62	320
1	126	320
2	355	320
3	1289	316
4	5579	316
5	7069	316
0	8092	312

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

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

localize129.0ms (1.8%)

Memory

8.8MiB live, 279.3MiB allocated; 41ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	5.852666967588295	(.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal -4 binary64)) z)
accuracy	7.2096034648630125	(/.f64 y (*.f64 x x))
accuracy	17.588396424332316	(.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -4 binary64)) z) z)) (*.f64 x x))
accuracy	35.8570957157791	#s(approx (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -4 binary64)) z) z))
accuracy	0.0	(*.f64 x x)
accuracy	2.5507668008114406	(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
accuracy	7.38021146305369	(.f64 (.f64 z z) y)
accuracy	15.708495224347518	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
accuracy	0.0	(*.f64 z z)
accuracy	0.017910009768442016	(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
accuracy	7.38021146305369	(.f64 (.f64 z z) y)
accuracy	37.26631686597294	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
accuracy	0.0	(*.f64 y t)
accuracy	0.01857377930532605	(.f64 (.f64 y t) #s(literal -4 binary64))
accuracy	44.74046431905646	#s(approx (+ (* (- (* z z) t) (* 4 y)) (* x x)) (.f64 (.f64 y t) #s(literal -4 binary64)))
accuracy	0.0	(neg.f64 z)
accuracy	0.0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x)))
accuracy	2.749985550811441	(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
accuracy	3.826505980267283	(*.f64 (fma.f64 (neg.f64 z) z t) y)

Samples

103.0ms

256×

valid

Compiler

Compiled 233 to 39 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 49.0ms (76.9% of total)

ival-div: 5.0ms (7.8% of total)

ival-add: 5.0ms (7.8% of total)

ival-sub: 2.0ms (3.1% of total)

ival-neg: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series144.0ms (2.1%)

Memory

-19.9MiB live, 155.6MiB allocated; 22ms collecting garbage

Counts

21 → 84

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
62.0ms	y	@	-inf	((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (+ (* (neg z) z) t) y) 4) (* x x)) (* (+ (* (neg z) z) t) y) (+ (* (neg z) z) t) (+ (* (- (* z z) t) (* 4 y)) (* x x)) (* (* y t) -4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* (* (* (/ y (* x x)) -4) z) z) (neg z) (* x x) (/ y (* x x)) (* (* (/ y (* x x)) -4) z))
33.0ms	y	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (+ (* (neg z) z) t) y) 4) (* x x)) (* (+ (* (neg z) z) t) y) (+ (* (neg z) z) t) (+ (* (- (* z z) t) (* 4 y)) (* x x)) (* (* y t) -4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* (* (* (/ y (* x x)) -4) z) z) (neg z) (* x x) (/ y (* x x)) (* (* (/ y (* x x)) -4) z))
13.0ms	y	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (+ (* (neg z) z) t) y) 4) (* x x)) (* (+ (* (neg z) z) t) y) (+ (* (neg z) z) t) (+ (* (- (* z z) t) (* 4 y)) (* x x)) (* (* y t) -4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* (* (* (/ y (* x x)) -4) z) z) (neg z) (* x x) (/ y (* x x)) (* (* (/ y (* x x)) -4) z))
10.0ms	z	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (+ (* (neg z) z) t) y) 4) (* x x)) (* (+ (* (neg z) z) t) y) (+ (* (neg z) z) t) (+ (* (- (* z z) t) (* 4 y)) (* x x)) (* (* y t) -4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* (* (* (/ y (* x x)) -4) z) z) (neg z) (* x x) (/ y (* x x)) (* (* (/ y (* x x)) -4) z))
5.0ms	t	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (+ (* (neg z) z) t) y) 4) (* x x)) (* (+ (* (neg z) z) t) y) (+ (* (neg z) z) t) (+ (* (- (* z z) t) (* 4 y)) (* x x)) (* (* y t) -4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* (* (* (/ y (* x x)) -4) z) z) (neg z) (* x x) (/ y (* x x)) (* (* (/ y (* x x)) -4) z))

simplify176.0ms (2.5%)

Memory

14.7MiB live, 194.6MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	996
1	715	965
2	2818	929
0	8524	872

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

Calls

Call 1

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

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

rewrite333.0ms (4.8%)

Memory

20.3MiB live, 361.0MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	280
0	62	280
1	218	280
2	1520	280
0	8291	272

Stop Event

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

Counts

21 → 337

Calls

Call 1

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

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

eval133.0ms (1.9%)

Memory: -47.9MiB live, 103.1MiB allocated; 28ms collecting garbage
Compiler: Compiled 19 585 to 1 874 computations (90.4% saved)

prune40.0ms (0.6%)

Memory

8.9MiB live, 53.8MiB allocated; 7ms collecting garbage

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	461	2	463
Fresh	1	5	6
Picked	1	4	5
Done	1	2	3
Total	464	13	477

Accuracy

100.0%

Counts

477 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.3%	(.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) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
✓	89.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x)))
▶	65.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 z z) (.f64 #s(literal -4 binary64) y) (*.f64 x x)))
▶	65.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
	11.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (.f64 y #s(literal -4 binary64))) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))
✓	61.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
✓	36.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
▶	41.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))
✓	30.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
✓	18.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -4 binary64)) z) z)) (*.f64 x x)))
▶	39.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
▶	61.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 y (fma.f64 z (/.f64 z t) #s(literal -1 binary64))) t)) #s(literal -4 binary64)))
✓	5.2%	#s(approx (+ (* (- (* z z) t) (* 4 y)) (* x x)) (.f64 (.f64 y t) #s(literal -4 binary64)))

Compiler

Compiled 635 to 404 computations (36.4% saved)

simplify160.0ms (2.3%)

Memory

23.3MiB live, 169.5MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (- (* z z) t) y) (.f64 (.f64 y (fma.f64 z (/.f64 z t) #s(literal -1 binary64))) t))
cost-diff	0	(.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 y (fma.f64 z (/.f64 z t) #s(literal -1 binary64))) t)) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 y (fma.f64 z (/.f64 z t) #s(literal -1 binary64))) t)) #s(literal -4 binary64)))
cost-diff	3	(.f64 (.f64 y (fma.f64 z (/.f64 z t) #s(literal -1 binary64))) t)
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 #s(literal 4 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
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)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 (.f64 z z) (.f64 #s(literal -4 binary64) y) (*.f64 x x))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 z z) (.f64 #s(literal -4 binary64) y) (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	308
0	60	308
1	128	308
2	347	308
3	884	308
4	2513	296
5	5475	296
0	8149	288

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

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

localize139.0ms (2%)

Memory

-21.4MiB live, 212.5MiB allocated; 31ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 z (/.f64 z t) #s(literal -1 binary64))
accuracy	2.157549489438938	(.f64 (.f64 y (fma.f64 z (/.f64 z t) #s(literal -1 binary64))) t)
accuracy	4.556148853104568	(*.f64 y (fma.f64 z (/.f64 z t) #s(literal -1 binary64)))
accuracy	21.347459410783504	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 y (fma.f64 z (/.f64 z t) #s(literal -1 binary64))) t)) #s(literal -4 binary64)))
accuracy	0.0	(fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 4 binary64) y)
accuracy	22.33321261097031	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
accuracy	0.0	(*.f64 z y)
accuracy	0.017910009768442016	(.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64))
accuracy	0.109375	(.f64 (.f64 z y) z)
accuracy	37.26631686597294	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
accuracy	17.588396424332316	(.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (*.f64 x x))
accuracy	40.45710631999307	#s(approx (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal -4 binary64) y)
accuracy	7.730911070038389	(fma.f64 (.f64 z z) (.f64 #s(literal -4 binary64) y) (*.f64 x x))
accuracy	15.708495224347518	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 z z) (.f64 #s(literal -4 binary64) y) (*.f64 x x)))

Samples

86.0ms

256×

valid

Compiler

Compiled 218 to 38 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 55.0ms (81% of total)

ival-div: 5.0ms (7.4% of total)

ival-add: 4.0ms (5.9% of total)

ival-sub: 2.0ms (2.9% of total)

exact: 1.0ms (1.5% of total)

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

adjust: 0.0ms (0% of total)

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

series53.0ms (0.8%)

Memory

23.8MiB live, 113.5MiB allocated; 8ms collecting garbage

Counts

21 → 75

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	t	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* z z) (* -4 y)) (* x x)) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 y) t) (* x x)) (* 4 y) (* (* y (+ (* z (/ z t)) -1)) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (* y (+ (* z (/ z t)) -1)) (+ (* z (/ z t)) -1))
6.0ms	y	@	-inf	((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* z z) (* -4 y)) (* x x)) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 y) t) (* x x)) (* 4 y) (* (* y (+ (* z (/ z t)) -1)) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (* y (+ (* z (/ z t)) -1)) (+ (* z (/ z t)) -1))
3.0ms	y	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* z z) (* -4 y)) (* x x)) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 y) t) (* x x)) (* 4 y) (* (* y (+ (* z (/ z t)) -1)) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (* y (+ (* z (/ z t)) -1)) (+ (* z (/ z t)) -1))
3.0ms	y	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* z z) (* -4 y)) (* x x)) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 y) t) (* x x)) (* 4 y) (* (* y (+ (* z (/ z t)) -1)) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (* y (+ (* z (/ z t)) -1)) (+ (* z (/ z t)) -1))
3.0ms	z	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* z z) (* -4 y)) (* x x)) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x)) (+ (* (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 y) t) (* x x)) (* 4 y) (* (* y (+ (* z (/ z t)) -1)) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (* y (+ (* z (/ z t)) -1)) (+ (* z (/ z t)) -1))

simplify143.0ms (2%)

Memory

27.9MiB live, 210.8MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	832
1	592	811
2	2257	786
0	8021	738

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 75

Calls

Call 1

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

rewrite275.0ms (3.9%)

Memory

-47.0MiB live, 255.3MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	281
0	60	281
1	207	281
2	1425	281
0	8212	273

Stop Event

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

Counts

21 → 277

Calls

Call 1

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

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

eval47.0ms (0.7%)

Memory: 23.3MiB live, 113.0MiB allocated; 13ms collecting garbage
Compiler: Compiled 14 224 to 1 478 computations (89.6% saved)

prune45.0ms (0.6%)

Memory

-4.6MiB live, 53.4MiB allocated; 7ms collecting garbage

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	351	5	356
Fresh	2	0	2
Picked	0	5	5
Done	1	5	6
Total	354	15	369

Accuracy

100.0%

Counts

369 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x)))
✓	65.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 z z) (.f64 #s(literal -4 binary64) y) (*.f64 x x)))
✓	65.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
✓	61.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
✓	36.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
✓	41.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))
✓	30.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
✓	39.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
	60.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) (.f64 t y))) #s(literal -4 binary64)))
	63.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (fma.f64 (.f64 y (/.f64 z t)) z (neg.f64 y)) t)) #s(literal -4 binary64)))
✓	61.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 y (fma.f64 z (/.f64 z t) #s(literal -1 binary64))) t)) #s(literal -4 binary64)))
	31.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 (/.f64 z t)) z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (/.f64 z t)) z) (.f64 (neg.f64 (/.f64 z t)) z) (.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 z t)) z)))))) t)) #s(literal -4 binary64)))
	33.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 y #s(approx (+ (* z (/ z t)) -1) (/.f64 (*.f64 z z) t))) t)) #s(literal -4 binary64)))
	51.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 #s(approx ( y (+ (* z (/ z t)) -1)) (.f64 (.f64 (-.f64 (/.f64 y t) (/.f64 y (*.f64 z z))) z) z)) t)) #s(literal -4 binary64)))
✓	5.2%	#s(approx (+ (* (- (* z z) t) (* 4 y)) (* x x)) (.f64 (.f64 y t) #s(literal -4 binary64)))

Compiler

Compiled 1 343 to 493 computations (63.3% saved)

regimes191.0ms (2.7%)

Memory

-0.5MiB live, 274.1MiB allocated; 34ms collecting garbage

Counts

29 → 2

Calls

Call 1

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

Outputs
(fma.f64 (-.f64 (.f64 z z) t) (.f64 #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:

59.0ms	t
54.0ms	(*.f64 z z)
13.0ms	(*.f64 y #s(literal 4 binary64))
12.0ms	(*.f64 x x)
10.0ms	y

Results

Accuracy	Segments	Branch
96.8%	2	`(*.f64 z z)`
96.8%	2	`(-.f64 (*.f64 z z) t)`
91.3%	2	`(*.f64 y #s(literal 4 binary64))`
95.7%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
95.2%	2	`(*.f64 x x)`
92.4%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
95.2%	2	`x`
91.3%	2	`y`
96.8%	2	`z`
89.7%	1	`t`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes14.0ms (0.2%)

Memory

4.8MiB live, 47.1MiB allocated; 5ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms	(-.f64 (*.f64 z z) t)
4.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
96.4%	2	`(*.f64 z z)`
96.4%	2	`(-.f64 (*.f64 z z) t)`
96.4%	2	`z`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes116.0ms (1.7%)

Memory

-2.2MiB live, 120.5MiB allocated; 47ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

7 calls:

96.0ms	(*.f64 z z)
3.0ms	x
3.0ms	z
3.0ms	(-.f64 (*.f64 z z) t)
3.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Results

Accuracy	Segments	Branch
85.3%	4	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
84.1%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
84.1%	3	`(*.f64 x x)`
84.1%	3	`x`
93.2%	3	`(*.f64 z z)`
91.2%	4	`(-.f64 (*.f64 z z) t)`
93.2%	3	`z`

Compiler

Compiled 35 to 44 computations (-25.7% saved)

regimes33.0ms (0.5%)

Memory

-9.2MiB live, 38.0MiB allocated; 1ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

21.0ms	z
3.0ms	(*.f64 y #s(literal 4 binary64))
3.0ms	t
3.0ms	y
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
70.5%	4	`t`
73.8%	3	`(*.f64 y #s(literal 4 binary64))`
73.8%	3	`y`
89.9%	3	`(*.f64 z z)`
89.9%	3	`z`

Compiler

Compiled 9 to 23 computations (-155.6% saved)

regimes6.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- (* z z) t) (* 4 y)) (* x x)) (.f64 (.f64 y t) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (*.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 (.f64 #s(literal 4 binary64) y) t (.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 #s(literal 4 binary64) y) t (*.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
88.3%	2	`(*.f64 z z)`
88.3%	2	`z`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes45.0ms (0.6%)

Memory

-3.8MiB live, 43.6MiB allocated; 1ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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

Calls

9 calls:

28.0ms	(*.f64 z z)
2.0ms	z
2.0ms	x
2.0ms	(-.f64 (*.f64 z z) t)
2.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
50.7%	4	`(*.f64 y #s(literal 4 binary64))`
50.7%	4	`y`
60.5%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
63.9%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
61.8%	2	`(*.f64 x x)`
61.8%	2	`x`
70.3%	3	`(-.f64 (*.f64 z z) t)`
65.7%	2	`(*.f64 z z)`
65.7%	2	`z`

Compiler

Compiled 39 to 54 computations (-38.5% saved)

regimes36.0ms (0.5%)

Memory

-16.7MiB live, 30.3MiB allocated; 4ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

Calls

8 calls:

24.0ms	(*.f64 z z)
2.0ms	z
2.0ms	(-.f64 (*.f64 z z) t)
2.0ms	x
2.0ms	t

Results

Accuracy	Segments	Branch
53.3%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
56.5%	2	`(*.f64 x x)`
56.5%	2	`x`
44.6%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
39.6%	1	`z`
39.6%	1	`(*.f64 z z)`
50.4%	3	`t`
45.3%	2	`(-.f64 (*.f64 z z) t)`

Compiler

Compiled 36 to 48 computations (-33.3% saved)

regimes29.0ms (0.4%)

Memory

-17.0MiB live, 29.2MiB allocated; 3ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

8 calls:

19.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	x
1.0ms	t
1.0ms	y

Results

Accuracy	Segments	Branch
39.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
39.6%	1	`(-.f64 (*.f64 z z) t)`
39.6%	1	`(*.f64 y #s(literal 4 binary64))`
39.6%	1	`y`
39.6%	1	`t`
39.6%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
39.6%	1	`(*.f64 x x)`
39.6%	1	`x`

Compiler

Compiled 36 to 49 computations (-36.1% saved)

regimes11.0ms (0.2%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
5.2%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
5.2%	1	`(*.f64 z z)`
5.2%	1	`z`
5.2%	1	`(-.f64 (*.f64 z z) t)`
5.2%	1	`(*.f64 y #s(literal 4 binary64))`
5.2%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
5.2%	1	`y`
5.2%	1	`(*.f64 x x)`
5.2%	1	`x`
5.2%	1	`t`

Compiler

Compiled 40 to 58 computations (-45% saved)

bsearch35.0ms (0.5%)

Memory

-11.4MiB live, 32.8MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	4.462010835820043e+142	9.728692583184563e+147

Samples

27.0ms

144×

valid

Compiler

Compiled 313 to 270 computations (13.7% saved)

Precisions

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

ival-mult: 3.0ms (59.5% of total)

ival-sub: 1.0ms (19.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.462010835820043e+142	9.728692583184563e+147

Compiler

Compiled 439 to 342 computations (22.1% saved)

bsearch46.0ms (0.7%)

Memory

-11.0MiB live, 35.7MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.462010835820043e+142	9.728692583184563e+147
43.0ms	8.746548679875805e-17	9.224668713527399e-15

Samples

7.0ms

112×

valid

Compiler

Compiled 743 to 578 computations (22.2% saved)

Precisions

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

ival-mult: 3.0ms (77.2% of total)

ival-sub: 1.0ms (25.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Memory

35.3MiB live, 35.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	4.462010835820043e+142	9.728692583184563e+147
8.0ms	1.6102704383137835e+38	5.552256744662873e+38

Samples

9.0ms

144×

valid

Compiler

Compiled 461 to 368 computations (20.2% saved)

Precisions

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

ival-mult: 3.0ms (59.5% of total)

ival-sub: 1.0ms (19.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.4%)

Memory

-34.7MiB live, 18.8MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	5.552256744662873e+38	4.948162894990777e+39

Samples

20.0ms

96×

valid

Compiler

Compiled 274 to 222 computations (19% saved)

Precisions

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

ival-mult: 2.0ms (54.5% of total)

ival-sub: 1.0ms (27.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5929708845072643e+76	2.4484316035363504e+79
0.0ms	-1.362712704411593e+42	-1.375242391380019e+36

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch8.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.7999367781713957e+53	3.382196273076646e+53

Samples

4.0ms

64×

valid

Compiler

Compiled 232 to 178 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (86.6% of total)

ival-sub: 1.0ms (43.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify85.0ms (1.2%)

Memory

-18.6MiB live, 70.9MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	487
1	117	487
2	223	487
3	425	487
4	787	487
5	1332	487
6	1959	487
7	2166	487
8	2195	487
9	2195	487

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856 binary64)) (fma.f64 (-.f64 (.f64 z z) t) (.f64 #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 z #s(literal 9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64))))
(if (<=.f64 z #s(literal 713053462628379/79228162514264337593543950336 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))) (if (<=.f64 z #s(literal 9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 z z) (.f64 #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 z #s(literal 329999999999999990682125824257054212096 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))) (if (<=.f64 z #s(literal 4999999999999999945435305910704598063392403130200679472590007732362651199555129074427056403228815030648329464160476949292016380761727168556302336 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))))
(if (<=.f64 z #s(literal 1599999999999999963980957175296544473088 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.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 (.f64 z z) t) #s(literal -1000000000000000044885712678075916785549312 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 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))))
(if (<=.f64 x #s(literal 259999999999999998237446655334023273880044194905456640 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))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (- (* z z) t) (* 4 y)) (* x x)) (.f64 (.f64 y t) #s(literal -4 binary64)))

Outputs
(if (<=.f64 z #s(literal 9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856 binary64)) (fma.f64 (-.f64 (.f64 z z) t) (.f64 #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 z #s(literal 9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64))))
(if (<=.f64 z #s(literal 713053462628379/79228162514264337593543950336 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))) (if (<=.f64 z #s(literal 9600000000000000072686647772284979294731921795142661607304787670188551114056540982235711993759364733403154561853048740873708952592344760682446585856 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 z z) (.f64 #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 z #s(literal 329999999999999990682125824257054212096 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))) (if (<=.f64 z #s(literal 4999999999999999945435305910704598063392403130200679472590007732362651199555129074427056403228815030648329464160476949292016380761727168556302336 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))))
(if (<=.f64 z #s(literal 1599999999999999963980957175296544473088 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.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 (.f64 z z) t) #s(literal -1000000000000000044885712678075916785549312 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 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))))
(if (<=.f64 x #s(literal 259999999999999998237446655334023273880044194905456640 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))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx (+ ( (* -4 (/ (- (* z z) t) x)) (/ y x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (- (* z z) t) (* 4 y)) (* x x)) (.f64 (.f64 y t) #s(literal -4 binary64)))

derivations985.0ms (14.1%)

Memory

16.6MiB live, 821.5MiB allocated; 113ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	1222
1	759	1177
2	2963	1144
0	8868	1075
0	81	339
1	238	325
2	840	324
3	4346	322
0	8161	303
0	43	280
0	62	280
1	218	280
2	1520	280
0	8291	272
0	11	33
0	17	33
1	60	33
2	456	33
3	5736	33
0	8267	32

Stop Event

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

Compiler

Compiled 487 to 81 computations (83.4% saved)

preprocess112.0ms (1.6%)

Memory: 31.7MiB live, 175.0MiB allocated; 13ms collecting garbage
Remove: (abs x)
Compiler: Compiled 1 248 to 350 computations (72% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample1.3s (18.1%)

explain172.0ms (2.5%)

preprocess42.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.1%)

localize25.0ms (0.4%)

series46.0ms (0.7%)

simplify260.0ms (3.7%)

rewrite173.0ms (2.5%)

eval34.0ms (0.5%)

prune15.0ms (0.2%)

simplify173.0ms (2.5%)

localize194.0ms (2.8%)

series81.0ms (1.2%)

simplify213.0ms (3%)

rewrite173.0ms (2.5%)

eval164.0ms (2.3%)

prune25.0ms (0.4%)

simplify323.0ms (4.6%)

localize129.0ms (1.8%)

series144.0ms (2.1%)

simplify176.0ms (2.5%)

rewrite333.0ms (4.8%)

eval133.0ms (1.9%)

prune40.0ms (0.6%)

simplify160.0ms (2.3%)

localize139.0ms (2%)

series53.0ms (0.8%)

simplify143.0ms (2%)

rewrite275.0ms (3.9%)

eval47.0ms (0.7%)

prune45.0ms (0.6%)

regimes191.0ms (2.7%)

regimes14.0ms (0.2%)

regimes116.0ms (1.7%)

regimes33.0ms (0.5%)

regimes6.0ms (0.1%)

regimes45.0ms (0.6%)

regimes36.0ms (0.5%)

regimes29.0ms (0.4%)

regimes11.0ms (0.2%)

bsearch35.0ms (0.5%)

bsearch2.0ms (0%)

bsearch46.0ms (0.7%)

bsearch17.0ms (0.2%)

bsearch26.0ms (0.4%)

bsearch1.0ms (0%)

bsearch8.0ms (0.1%)

simplify85.0ms (1.2%)

derivations985.0ms (14.1%)

preprocess112.0ms (1.6%)

end0.0ms (0%)

Profiling