Metrics for Numeric.AD.Rank1.Halley:findZero from ad-4.2.4

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze276.0ms (2.9%)

Memory

-3.6MiB live, 357.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
31.3%	31.2%	68.6%	0.2%	0%	0%	0%	7
40.6%	40.5%	59.3%	0.2%	0%	0%	0%	8
50%	49.9%	49.9%	0.2%	0%	0%	0%	9
50%	49.9%	49.9%	0.2%	0%	0%	0%	10
54.7%	54.6%	45.2%	0.2%	0%	0%	0%	11
62.5%	62.4%	37.4%	0.2%	0%	0%	0%	12

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.3s (13.4%)

Memory

60.2MiB live, 1 751.4MiB allocated

Samples

769.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 498.0ms

ival-mult: 322.0ms (64.7% of total)

ival-sub: 108.0ms (21.7% of total)

ival-div: 52.0ms (10.4% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain367.0ms (3.9%)

Memory

-36.9MiB live, 266.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
72	1	(-9.604513458955161e-73 -1.1223557616573383e-106 3.145932078368603e+216 3.0503418585810208e-279)	5	(-1.2299944609583927e-36 -9.055000331846948e-281 4.272682692059504e-42 1.2809937613616933e+203)	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
5	0	-	0	-	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`
0	0	-	0	-	`(*.f64 y t)`
0	0	-	0	-	`(.f64 (.f64 y #s(literal 2 binary64)) z)`
0	0	-	0	-	`t`
0	0	-	0	-	`(.f64 (.f64 z #s(literal 2 binary64)) z)`
0	0	-	0	-	`z`
0	0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	0	-	0	-	`y`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	0	-	0	-	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/o	7	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	23
↳	`(*.f64 y t)`	overflow	24
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	82
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	66
`-.f64`	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	nan-rescue	5	0
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	66
↳	`(*.f64 y t)`	overflow	24
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/o	5	0
↳	`(*.f64 y t)`	overflow	24
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	82
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	66
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/u	4	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	26
↳	`(*.f64 y t)`	underflow	31
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	7
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	66
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/u	2	0
↳	`(*.f64 y t)`	underflow	31
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	7
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	66
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/n	2	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	26
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/n	1	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	23

Confusion

	Predicted +	Predicted -
+	23	14
-	1	218

Precision

0.9583333333333334

Recall

0.6216216216216216

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	14
-	1	0	218

Precision?

0.9583333333333334

Recall?

0.6216216216216216

Freqs

test

number	freq
0	232
1	22
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms

512×

valid

Compiler

Compiled 155 to 43 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 53.0ms (86.3% of total)

ival-sub: 5.0ms (8.1% of total)

ival-div: 3.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess183.0ms (1.9%)

Memory

18.3MiB live, 94.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 028×	`times-frac`
1 016×	`lower-fma.f64`
1 016×	`lower-fma.f32`
908×	`div-sub`
838×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	250
1	218	244
2	601	238
3	1943	238
4	4398	238
5	6221	238
6	7521	238
7	7782	238
8	7835	238
9	7870	238
0	13	17
0	21	17
1	38	17
2	80	17
3	195	17
4	391	17
5	687	17
6	1540	17
7	2286	17
8	2461	17
9	2515	17
10	2538	17
11	2540	17
12	2549	17
13	2561	17
14	2580	17
15	2580	17
0	2580	15

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Outputs

(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

(fma.f64 y (/.f64 (*.f64 #s(literal 2 binary64) z) (fma.f64 z (*.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)

Compiler

Compiled 21 to 13 computations (38.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.9%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify85.0ms (0.9%)

Memory

-26.4MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 2 binary64)) z)
cost-diff	128	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
cost-diff	128	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Rules

1 028×	`times-frac`
1 016×	`lower-fma.f64`
1 016×	`lower-fma.f32`
792×	`lower-*.f32`
782×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	65
0	21	65
1	38	65
2	80	65
3	195	65
4	391	65
5	687	65
6	1540	65
7	2286	65
8	2461	65
9	2515	65
10	2538	65
11	2540	65
12	2549	65
13	2561	65
14	2580	65
15	2580	65
0	2580	62

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
x
(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
(.f64 (.f64 y #s(literal 2 binary64)) z)
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
z
(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
(.f64 (.f64 z #s(literal 2 binary64)) z)
(*.f64 z #s(literal 2 binary64))
(*.f64 y t)
t

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

localize32.0ms (0.3%)

Memory

17.0MiB live, 17.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.00390625	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
accuracy	1.1054646216604118	(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
accuracy	16.74393473131638	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))

Samples

21.0ms

256×

valid

Compiler

Compiled 67 to 15 computations (77.6% saved)

Precisions

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

ival-mult: 7.0ms (61.9% of total)

ival-div: 2.0ms (17.7% of total)

ival-sub: 2.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

series72.0ms (0.8%)

Memory

-15.2MiB live, 27.7MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 2 binary64)) z) (patch (.f64 (.f64 y #s(literal 2 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())

Outputs
#s(alt (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y z))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- x (* -2 (/ z t))) (taylor inf y) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) (taylor inf y) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
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#s(alt (* 2 (pow z 2)) (taylor 0 t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t y)) (taylor inf t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (* t (- (* 2 (/ (pow z 2) t)) y)) (taylor inf t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (* t (- (* 2 (/ (pow z 2) t)) y)) (taylor inf t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (* t (- (* 2 (/ (pow z 2) t)) y)) (taylor inf t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t y)) (taylor -inf t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) (taylor -inf t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) (taylor -inf t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) (taylor -inf t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
40.0ms	y	@	-inf	(* y 2)
12.0ms	z	@	0	(- (* (* z 2) z) (* y t))
1.0ms	x	@	0	(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
1.0ms	z	@	inf	(/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))
1.0ms	z	@	0	(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))

simplify945.0ms (10%)

Memory

11.3MiB live, 441.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 952×	`lower-fma.f64`
10 952×	`lower-fma.f32`
5 728×	`lower-*.f64`
5 728×	`lower-*.f32`
3 132×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	2176
1	1030	2127
2	3143	2097
0	8600	1977

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 148

Calls

Call 1

Inputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(/ y z)
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z)))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))
(* -2 (/ z t))
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(/ y z)
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)
(/ y z)
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(* -2 (/ z t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(* -1 (* t y))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* -1 (* t y))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(* -1 (* t y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* -1 (* t y))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))

Outputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t)))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 y (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 y (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 y (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t))) x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(fma.f64 y (fma.f64 (.f64 y t) (/.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)) x)
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 t (.f64 z (.f64 z z))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (*.f64 t t))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) z)) x)
(- x (* -2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+.f64 x (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 t t)))) (fma.f64 z #s(literal 2 binary64) (.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 4 binary64) (*.f64 y t))))) t))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(+.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (.f64 (.f64 y y) (.f64 y (pow.f64 t #s(literal 4 binary64))))) x) (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 t t)))) (fma.f64 z #s(literal 2 binary64) (.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 4 binary64) (.f64 y t))))) t))
(- x (* -2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(+.f64 x (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 t t)))) (fma.f64 z #s(literal 2 binary64) (.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 4 binary64) (*.f64 y t))))) t))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(+.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (.f64 y (.f64 y (pow.f64 t #s(literal 4 binary64))))) (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 t (.f64 t t)))) (.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 4 binary64) (*.f64 t t))))) y))
x
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(fma.f64 z (fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 t (.f64 t t))))) (/.f64 #s(literal 4 binary64) (.f64 y (.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(-.f64 x (/.f64 (fma.f64 (.f64 t (.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y) z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(-.f64 (fma.f64 (.f64 t t) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (.f64 y y))) (pow.f64 z #s(literal 5 binary64))) x) (/.f64 (fma.f64 (.f64 t (.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y) z))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(-.f64 x (/.f64 (fma.f64 (.f64 t (.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y) z))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(-.f64 x (/.f64 (fma.f64 (.f64 t (.f64 y y)) (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (fma.f64 (.f64 (.f64 t t) #s(literal 1/4 binary64)) (/.f64 (.f64 y (*.f64 y y)) (pow.f64 z #s(literal 4 binary64))) y)) z))
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(-.f64 x (/.f64 (fma.f64 (.f64 t (.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y) z))
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(/.f64 (fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal -4 binary64) (.f64 y t)) (.f64 #s(literal -2 binary64) z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
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(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
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(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* t y))
(*.f64 y (neg.f64 t))
(- (* 2 (pow z 2)) (* t y))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (*.f64 y t))
(- (* 2 (pow z 2)) (* t y))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (*.f64 y t))
(- (* 2 (pow z 2)) (* t y))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (*.f64 y t))
(* 2 (pow z 2))
(.f64 #s(literal 2 binary64) (.f64 z z))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 t (/.f64 y (*.f64 z (neg.f64 z))) #s(literal 2 binary64))))
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(* 2 (pow z 2))
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(.f64 z (.f64 z (fma.f64 t (/.f64 y (*.f64 z (neg.f64 z))) #s(literal 2 binary64))))
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(-.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (*.f64 y t))
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(-.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (*.f64 y t))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (*.f64 y t))
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(*.f64 y (neg.f64 t))
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(.f64 y (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 z z)) y) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(.f64 y (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 z z)) y) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(.f64 y (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 z z)) y) t))
(* -1 (* t y))
(*.f64 y (neg.f64 t))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(neg.f64 (.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z (/.f64 z y)) t)))
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(neg.f64 (.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z (/.f64 z y)) t)))
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(neg.f64 (.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z (/.f64 z y)) t)))
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(-.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (*.f64 y t))
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(-.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (*.f64 y t))
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(-.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (*.f64 y t))
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(.f64 t (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 z z)) t) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(.f64 t (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 z z)) t) y))
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(.f64 t (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 z z)) t) y))
(* -1 (* t y))
(*.f64 y (neg.f64 t))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(neg.f64 (.f64 t (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) t) y)))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(neg.f64 (.f64 t (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) t) y)))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(neg.f64 (.f64 t (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) t) y)))

rewrite405.0ms (4.3%)

Memory

12.9MiB live, 545.5MiB allocated

Rules

8 416×	`lower-fma.f64`
8 416×	`lower-fma.f32`
6 098×	`lower-*.f32`
6 088×	`lower-*.f64`
3 214×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	21	49
1	71	49
2	541	49
3	7465	49
0	8831	46

Stop Event

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

Counts

5 → 400

Calls

Call 1

Inputs
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
(.f64 (.f64 y #s(literal 2 binary64)) z)
(*.f64 y #s(literal 2 binary64))
(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))

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

eval123.0ms (1.3%)

Memory: -18.8MiB live, 132.3MiB allocated
Compiler: Compiled 22 948 to 1 523 computations (93.4% saved)

prune86.0ms (0.9%)

Memory

25.6MiB live, 224.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	541	7	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	542	7	549

Accuracy

100.0%

Counts

549 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.5%	(fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (*.f64 y #s(literal 2 binary64)) x)
▶	54.4%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 y (neg.f64 t)))))
	47.5%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))))
▶	62.8%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (*.f64 #s(literal -2 binary64) z) t)))
▶	61.2%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
▶	62.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x))
	20.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))))

Compiler

Compiled 212 to 134 computations (36.8% saved)

simplify215.0ms (2.3%)

Memory

2.3MiB live, 120.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 2 binary64)) z)
cost-diff	0	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))))
cost-diff	128	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 y (neg.f64 t)))))
cost-diff	0	(*.f64 #s(literal -2 binary64) z)
cost-diff	0	(/.f64 (*.f64 #s(literal -2 binary64) z) t)
cost-diff	0	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (*.f64 #s(literal -2 binary64) z) t))
cost-diff	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (*.f64 #s(literal -2 binary64) z) t)))
cost-diff	0	(/.f64 #s(literal 2 binary64) t)
cost-diff	0	(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x))
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
cost-diff	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
cost-diff	0	(/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))
cost-diff	0	(fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (*.f64 y #s(literal 2 binary64)) x)

Rules

2 040×	`lower-fma.f32`
2 034×	`lower-fma.f64`
1 528×	`lower-*.f32`
1 516×	`lower-*.f64`
710×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	262
0	57	262
1	104	262
2	185	262
3	392	260
4	707	260
5	1149	256
6	2372	256
7	3168	256
8	3827	256
9	3987	256
10	4027	256
11	4043	256
12	4057	256
13	4125	256
14	4168	256
15	4168	256
16	4208	256
17	4380	256
18	4380	256
0	4380	255

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (*.f64 y #s(literal 2 binary64)) x)
(fma.f64 z (/.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))
(/.f64 z (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t)))
z
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
(fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))
(*.f64 z z)
#s(literal -2 binary64)
(*.f64 y t)
y
t
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
x
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
(/.f64 y z)
y
z
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
z
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
x
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (*.f64 #s(literal -2 binary64) z) t)))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (*.f64 z #s(literal -2 binary64)) t)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (*.f64 #s(literal -2 binary64) z) t))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (*.f64 z #s(literal -2 binary64)) t))
(/.f64 (*.f64 #s(literal -2 binary64) z) t)
(/.f64 (*.f64 z #s(literal -2 binary64)) t)
(*.f64 #s(literal -2 binary64) z)
(*.f64 z #s(literal -2 binary64))
#s(literal -2 binary64)
z
t
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 y (neg.f64 t)))))
(fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) #s(approx (- ( (* z 2) z) (* y t)) (*.f64 y (neg.f64 t)))) x)
x
(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))))
(/.f64 (.f64 z (.f64 y #s(literal 2 binary64))) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))))
(.f64 (.f64 y #s(literal 2 binary64)) z)
(.f64 z (.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
z
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 y (neg.f64 t)))
(*.f64 y (neg.f64 t))
(neg.f64 t)
t

localize106.0ms (1.1%)

Memory

-27.9MiB live, 165.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 t)
accuracy	0.00390625	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 y (neg.f64 t)))))
accuracy	16.74393473131638	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))))
accuracy	28.864105631493732	#s(approx (- (* (* z 2) z) (* y t)) (*.f64 y (neg.f64 t)))
accuracy	0	(/.f64 (*.f64 #s(literal -2 binary64) z) t)
accuracy	0	(*.f64 #s(literal -2 binary64) z)
accuracy	0.00390625	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (*.f64 #s(literal -2 binary64) z) t)))
accuracy	29.880421956184797	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (*.f64 #s(literal -2 binary64) z) t))
accuracy	0	(/.f64 #s(literal 2 binary64) t)
accuracy	0.3806894522825443	(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
accuracy	23.832987686373055	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x))
accuracy	0	(/.f64 y z)
accuracy	0.00390625	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
accuracy	33.074707375579436	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.8567481398248099	(fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (*.f64 y #s(literal 2 binary64)) x)
accuracy	1.1562438074906176	(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
accuracy	17.44106924362239	(/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))

Samples

62.0ms

256×

valid

Compiler

Compiled 227 to 30 computations (86.8% saved)

Precisions

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

ival-mult: 27.0ms (61.8% of total)

ival-div: 8.0ms (18.3% of total)

ival-add: 5.0ms (11.4% of total)

ival-sub: 2.0ms (4.6% of total)

ival-neg: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series48.0ms (0.5%)

Memory

22.4MiB live, 93.2MiB allocated

Counts

20 → 624

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (patch (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)) (patch (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) #<representation binary64>) () ())
#s(alt (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (patch (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (.f64 #s(literal -2 binary64) z) t))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (*.f64 #s(literal -2 binary64) z) t))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (.f64 #s(literal -2 binary64) z) t)) (patch #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (*.f64 #s(literal -2 binary64) z) t)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal -2 binary64) z) t) (patch (/.f64 (.f64 #s(literal -2 binary64) z) t) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) z) (patch (.f64 #s(literal -2 binary64) z) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 y (neg.f64 t))))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- ( (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 y (neg.f64 t)))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- ( (* z 2) z) (* y t)) (*.f64 y (neg.f64 t)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 2 binary64)) z) (patch (.f64 (.f64 y #s(literal 2 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* z 2) z) (* y t)) (.f64 y (neg.f64 t))) (patch #s(approx (- ( (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 (/ z t))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) (taylor inf z) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))))) (taylor inf z) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y z))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y z))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 (/ z t))) (taylor inf y) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))) (taylor inf y) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))) (taylor inf y) (#s(alt (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt #s(approx (- (* (* z 2) z) (* y t)) (.f64 y (neg.f64 t))) (patch #s(approx (- ( (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t y)) (taylor inf t) (#s(alt #s(approx (- (* (* z 2) z) (* y t)) (.f64 y (neg.f64 t))) (patch #s(approx (- ( (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* t (- (* 2 (/ (pow z 2) t)) y)) (taylor inf t) (#s(alt #s(approx (- (* (* z 2) z) (* y t)) (.f64 y (neg.f64 t))) (patch #s(approx (- ( (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* t (- (* 2 (/ (pow z 2) t)) y)) (taylor inf t) (#s(alt #s(approx (- (* (* z 2) z) (* y t)) (.f64 y (neg.f64 t))) (patch #s(approx (- ( (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* t (- (* 2 (/ (pow z 2) t)) y)) (taylor inf t) (#s(alt #s(approx (- (* (* z 2) z) (* y t)) (.f64 y (neg.f64 t))) (patch #s(approx (- ( (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t y)) (taylor -inf t) (#s(alt #s(approx (- (* (* z 2) z) (* y t)) (.f64 y (neg.f64 t))) (patch #s(approx (- ( (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) (taylor -inf t) (#s(alt #s(approx (- (* (* z 2) z) (* y t)) (.f64 y (neg.f64 t))) (patch #s(approx (- ( (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) (taylor -inf t) (#s(alt #s(approx (- (* (* z 2) z) (* y t)) (.f64 y (neg.f64 t))) (patch #s(approx (- ( (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) (taylor -inf t) (#s(alt #s(approx (- (* (* z 2) z) (* y t)) (.f64 y (neg.f64 t))) (patch #s(approx (- ( (* z 2) z) (* y t)) (*.f64 y (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor -inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor -inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor -inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor -inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())

Calls

156 calls:

Time	Variable		Point	Expression
4.0ms	t	@	0	(/ (* -2 z) t)
2.0ms	t	@	inf	(+ (* (/ z (+ (* (* z z) -2) (* y t))) (* y 2)) x)
1.0ms	t	@	0	(+ (* (/ z (+ (* (* z z) -2) (* y t))) (* y 2)) x)
1.0ms	x	@	0	(+ (* (/ z (+ (* (* z z) -2) (* y t))) (* y 2)) x)
1.0ms	y	@	inf	(+ (* (/ z (+ (* (* z z) -2) (* y t))) (* y 2)) x)

simplify272.0ms (2.9%)

Memory

56.4MiB live, 502.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 862×	`lower-fma.f64`
7 862×	`lower-fma.f32`
5 864×	`lower-*.f64`
5 864×	`lower-*.f32`
2 266×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	622	8921
1	1928	8804
2	5836	8697
0	8286	8207

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 579

Calls

Call 1

Inputs
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))))
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))))
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
x
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(/ z (* t y))
(* z (+ (* 2 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (/ 1 (* t y))))
(* z (+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 4 (/ 1 (* (pow t 3) (pow y 3)))))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(/ -1/2 z)
(/ (- (* -1/4 (/ (* t y) (pow z 2))) 1/2) z)
(/ (- (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1/2 (* 1/4 (/ (* t y) (pow z 2))))) z)
(/ (- (* -1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1/2 (+ (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* t y) (pow z 2)))))) z)
(/ -1/2 z)
(* -1 (/ (+ 1/2 (* 1/4 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1/2 (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/4 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1/2 (* 1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/4 (/ (* t y) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) z))
(/ -1/2 z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 5))) (* 1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 7))) (* 1/8 (/ (pow t 2) (pow z 5))))) (* 1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z)))
(/ z (* t y))
(/ (+ (* 2 (/ (pow z 3) (* (pow t 2) y))) (/ z t)) y)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (/ z t)) (* -2 (/ (pow z 3) (* (pow t 2) y)))) y)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (/ z t)) (+ (* -4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 3) (* (pow t 2) y))))) y)
(/ z (* t y))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* (pow t 2) y))) (* -1 (/ z t))) y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* 4 (/ (pow z 5) (* (pow t 3) y))) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* (pow t 4) y))) (* 4 (/ (pow z 5) (pow t 3)))) y)) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(/ -1/2 z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(/ z (* t y))
(/ (+ (* 2 (/ (pow z 3) (* t (pow y 2)))) (/ z y)) t)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (/ z y)) (* -2 (/ (pow z 3) (* t (pow y 2))))) t)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 3) (pow y 4)))) (/ z y)) (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* -2 (/ (pow z 3) (* t (pow y 2)))))) t)
(/ z (* t y))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* t (pow y 2)))) (* -1 (/ z y))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* 4 (/ (pow z 5) (* t (pow y 3)))) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* t (pow y 4)))) (* 4 (/ (pow z 5) (pow y 3)))) t)) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))
(* t y)
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* -2 (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* -2 (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* t y)
(* y (+ t (* -2 (/ (pow z 2) y))))
(* y (+ t (* -2 (/ (pow z 2) y))))
(* y (+ t (* -2 (/ (pow z 2) y))))
(* t y)
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* t y)
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t y)
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(/ y z)
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z)))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))
(* -2 (/ z t))
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(/ y z)
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)
(/ y z)
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(* -2 (/ z t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
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(* -1 (* t y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* -1 (* t y))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)

Outputs
x
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 (*.f64 t t) y))) (/.f64 #s(literal 2 binary64) t)) x)
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(fma.f64 z (fma.f64 (.f64 z z) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 z z) (.f64 y (.f64 t (.f64 (.f64 t t) y)))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 t t) y))) (/.f64 #s(literal 2 binary64) t)) x)
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(-.f64 x (/.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 y y) (*.f64 z z)) y) z))
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))
(fma.f64 t (fma.f64 (/.f64 (.f64 y (.f64 y y)) (pow.f64 z #s(literal 5 binary64))) (.f64 t #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (.f64 z (*.f64 z z)))) (-.f64 x (/.f64 y z)))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(-.f64 x (/.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 y y) (*.f64 z z)) y) z))
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(-.f64 x (/.f64 (fma.f64 (.f64 (.f64 t t) #s(literal 1/4 binary64)) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z z) (.f64 z z))) (fma.f64 (.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 y y) (.f64 z z)) y)) z))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(fma.f64 y (fma.f64 t (.f64 (/.f64 y (.f64 z (*.f64 z z))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) z)) x)
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))
(fma.f64 y (fma.f64 y (fma.f64 (.f64 t t) (.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64))) #s(literal -1/4 binary64)) (/.f64 (.f64 t #s(literal -1/2 binary64)) (.f64 z (*.f64 z z)))) (/.f64 #s(literal -1 binary64) z)) x)
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 (*.f64 t t) y))) (/.f64 #s(literal 2 binary64) t)) x)
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 (.f64 t t) y))) (/.f64 #s(literal 2 binary64) t)) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 y (.f64 t (.f64 (*.f64 t t) y)))) x))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))
(fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (.f64 (.f64 y y) (.f64 y (pow.f64 t #s(literal 4 binary64))))) (fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 (.f64 t t) y))) (/.f64 #s(literal 2 binary64) t)) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 y (.f64 t (.f64 (.f64 t t) y)))) x)))
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 (*.f64 t t) y))) (/.f64 #s(literal 2 binary64) t)) x)
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 (.f64 t t) y))) (/.f64 #s(literal 2 binary64) t)) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 y (.f64 t (.f64 (*.f64 t t) y)))) x))
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z t) x) (/.f64 (-.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -4 binary64)) (.f64 t t)) (/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 t (.f64 t t))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 7 binary64))) (.f64 y (pow.f64 t #s(literal 4 binary64))))) y)) y))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(-.f64 x (/.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 y y) (*.f64 z z)) y) z))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(fma.f64 t (fma.f64 (/.f64 (.f64 y (.f64 y y)) (pow.f64 z #s(literal 5 binary64))) (.f64 t #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (.f64 z (*.f64 z z)))) (-.f64 x (/.f64 y z)))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
(fma.f64 t (fma.f64 t (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (.f64 y y))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (.f64 z (.f64 z z)))) (-.f64 x (/.f64 y z)))
x
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 (*.f64 t t) y))) (/.f64 #s(literal 2 binary64) t)) x)
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 (.f64 t t) y))) (/.f64 #s(literal 2 binary64) t)) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 y (.f64 t (.f64 (*.f64 t t) y)))) x))
x
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 (*.f64 t t) y))) (/.f64 #s(literal 2 binary64) t)) x)
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
(+.f64 x (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 t (.f64 y y))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 z (.f64 z z))) y)) t) (.f64 #s(literal 2 binary64) z)) t))
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 t y)))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 t y))) x)
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 t y))) x)
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 t y))) x)
x
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (.f64 x (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 t y)))) x)
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (.f64 x (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 t y)))) x)
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (.f64 x (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 t y)))) x)
x
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(.f64 x (neg.f64 (fma.f64 y (.f64 (/.f64 z (.f64 x (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 t y)))) #s(literal -2 binary64)) #s(literal -1 binary64))))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(.f64 x (neg.f64 (fma.f64 y (.f64 (/.f64 z (.f64 x (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 t y)))) #s(literal -2 binary64)) #s(literal -1 binary64))))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(.f64 x (neg.f64 (fma.f64 y (.f64 (/.f64 z (.f64 x (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 t y)))) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/ z (* t y))
(/.f64 z (*.f64 t y))
(* z (+ (* 2 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (/ 1 (* t y))))
(fma.f64 z (/.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (.f64 (.f64 t t) (.f64 y y))) (/.f64 z (.f64 t y)))
(* z (+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(fma.f64 (.f64 z (.f64 z z)) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) (.f64 (.f64 t t) (.f64 t (.f64 y (.f64 y y))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (.f64 y y)))) (/.f64 z (.f64 t y)))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 4 (/ 1 (* (pow t 3) (pow y 3)))))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(fma.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 z z) (.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 t t) (.f64 t (.f64 y (.f64 y y))))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (.f64 y y)))) (/.f64 z (.f64 t y)))
(/ -1/2 z)
(/.f64 #s(literal -1/2 binary64) z)
(/ (- (* -1/4 (/ (* t y) (pow z 2))) 1/2) z)
(/.f64 (fma.f64 t (.f64 (/.f64 y (.f64 z z)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) z)
(/ (- (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1/2 (* 1/4 (/ (* t y) (pow z 2))))) z)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 t t) (.f64 y y)) (.f64 (.f64 z z) (.f64 z z))) (fma.f64 t (.f64 (/.f64 y (.f64 z z)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) z)
(/ (- (* -1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1/2 (+ (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* t y) (pow z 2)))))) z)
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) (.f64 t (.f64 t t))) (.f64 y (.f64 y y))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 (.f64 t t) (.f64 y y)) (.f64 (.f64 z z) (.f64 z z))) #s(literal 1/8 binary64) (fma.f64 t (.f64 (/.f64 y (.f64 z z)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) z)
(/ -1/2 z)
(/.f64 #s(literal -1/2 binary64) z)
(* -1 (/ (+ 1/2 (* 1/4 (/ (* t y) (pow z 2)))) z))
(/.f64 (fma.f64 t (.f64 (/.f64 y (.f64 z z)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) z)
(* -1 (/ (- (+ 1/2 (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/4 (/ (* t y) (pow z 2)))) z))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 t t) (.f64 y y)) (.f64 (.f64 z z) (.f64 z z))) #s(literal 1/8 binary64) (fma.f64 t (.f64 (/.f64 y (.f64 z z)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (neg.f64 z))
(* -1 (/ (- (+ 1/2 (* 1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/4 (/ (* t y) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) z))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 t t) (.f64 t (.f64 y (.f64 y y)))) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 (.f64 t t) (.f64 y y)) (.f64 (.f64 z z) (.f64 z z))) #s(literal 1/8 binary64) (fma.f64 t (.f64 (/.f64 y (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (neg.f64 z))
(/ -1/2 z)
(/.f64 #s(literal -1/2 binary64) z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(/.f64 (fma.f64 t (.f64 (/.f64 y (.f64 z z)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) z)
(- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 5))) (* 1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z)))
(fma.f64 y (fma.f64 (.f64 t t) (.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64))) #s(literal -1/8 binary64)) (.f64 #s(literal -1/4 binary64) (/.f64 t (.f64 z (*.f64 z z))))) (/.f64 #s(literal -1/2 binary64) z))
(- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 7))) (* 1/8 (/ (pow t 2) (pow z 5))))) (* 1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z)))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/8 binary64) (.f64 t (/.f64 t (pow.f64 z #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 t (.f64 (.f64 t t) y)) #s(literal -1/16 binary64)) (pow.f64 z #s(literal 7 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 t (.f64 z (.f64 z z))))) (/.f64 #s(literal -1/2 binary64) z))
(/ z (* t y))
(/.f64 z (*.f64 t y))
(/ (+ (* 2 (/ (pow z 3) (* (pow t 2) y))) (/ z t)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 y y))) (/.f64 z y)) t)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (/ z t)) (* -2 (/ (pow z 3) (* (pow t 2) y)))) y)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 (.f64 t t) y)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 y (.f64 t (.f64 (.f64 t t) y)))) (/.f64 z t))) y)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (/ z t)) (+ (* -4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 3) (* (pow t 2) y))))) y)
(/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (.f64 (.f64 y y) (.f64 y (pow.f64 t #s(literal 4 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 (.f64 t t) y)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 y (.f64 t (.f64 (*.f64 t t) y)))) (/.f64 z t)))) y)
(/ z (* t y))
(/.f64 z (*.f64 t y))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* (pow t 2) y))) (* -1 (/ z t))) y))
(neg.f64 (-.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -2 binary64)) (.f64 (.f64 t t) (.f64 y y))) (/.f64 z (*.f64 t y))))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* 4 (/ (pow z 5) (* (pow t 3) y))) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 (.f64 t t) y)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 y (.f64 t (.f64 (.f64 t t) y)))) (/.f64 z t))) y)
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* (pow t 4) y))) (* 4 (/ (pow z 5) (pow t 3)))) y)) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(/.f64 (+.f64 (/.f64 z t) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 z (.f64 z z))) (.f64 t t)) (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (.f64 y (pow.f64 t #s(literal 4 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 5 binary64)) #s(literal -4 binary64)) (.f64 t (.f64 t t)))) y)) y)) y)
(/ -1/2 z)
(/.f64 #s(literal -1/2 binary64) z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(/.f64 (fma.f64 t (.f64 (/.f64 y (.f64 z z)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) z)
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(fma.f64 t (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (.f64 y y) (pow.f64 z #s(literal 5 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 y (.f64 z (*.f64 z z))))) (/.f64 #s(literal -1/2 binary64) z))
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(fma.f64 t (fma.f64 t (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y y) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 (.f64 t (.f64 y (.f64 y y))) #s(literal -1/16 binary64)) (pow.f64 z #s(literal 7 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 y (.f64 z (.f64 z z))))) (/.f64 #s(literal -1/2 binary64) z))
(/ z (* t y))
(/.f64 z (*.f64 t y))
(/ (+ (* 2 (/ (pow z 3) (* t (pow y 2)))) (/ z y)) t)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 y y))) (/.f64 z y)) t)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (/ z y)) (* -2 (/ (pow z 3) (* t (pow y 2))))) t)
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(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))
(-.f64 (/.f64 (.f64 z #s(literal -2 binary64)) t) (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 t t)) (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 t (.f64 t t))) (/.f64 (.f64 (pow.f64 z #s(literal 7 binary64)) #s(literal -16 binary64)) (.f64 y (pow.f64 t #s(literal 4 binary64))))) (neg.f64 y))) y))
(* -2 (/ z t))
(/.f64 (*.f64 z #s(literal -2 binary64)) t)
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(.f64 z (fma.f64 (/.f64 (.f64 z z) (.f64 (.f64 t t) y)) #s(literal -4 binary64) (/.f64 #s(literal -2 binary64) t)))
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(.f64 z (fma.f64 (.f64 z z) (fma.f64 (/.f64 (.f64 z z) (.f64 y (.f64 t (.f64 (.f64 t t) y)))) #s(literal -8 binary64) (/.f64 #s(literal -4 binary64) (.f64 (*.f64 t t) y))) (/.f64 #s(literal -2 binary64) t)))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(.f64 z (fma.f64 z (.f64 z (fma.f64 (.f64 z z) (fma.f64 #s(literal -16 binary64) (/.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 y (pow.f64 t #s(literal 4 binary64))))) (/.f64 #s(literal -8 binary64) (.f64 y (.f64 t (.f64 (.f64 t t) y))))) (/.f64 #s(literal -4 binary64) (.f64 (*.f64 t t) y)))) (/.f64 #s(literal -2 binary64) t)))
(/ y z)
(/.f64 y z)
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 y y) (*.f64 z z)) y) z)
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(/.f64 (fma.f64 (.f64 (.f64 t t) #s(literal 1/4 binary64)) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z z) (.f64 z z))) (fma.f64 (.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 y y) (.f64 z z)) y)) z)
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)
(/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t t))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 t t) #s(literal 1/4 binary64)) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z z) (.f64 z z))) (fma.f64 (.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 y y) (*.f64 z z)) y))) z)
(/ y z)
(/.f64 y z)
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(/.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 y y) (*.f64 z z)) y) z)
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))
(/.f64 (-.f64 (fma.f64 (.f64 t #s(literal -1/2 binary64)) (/.f64 (.f64 y y) (.f64 z z)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (.f64 y y))) (.f64 t t)) (.f64 (.f64 z z) (*.f64 z z)))) y) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z))
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 t (.f64 y y)) (.f64 z z)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 t (.f64 t (.f64 y (.f64 y y)))) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 t (.f64 t t))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))))) y) (neg.f64 z))
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(/.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 y y) (*.f64 z z)) y) z)
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(fma.f64 t (fma.f64 (/.f64 (.f64 y (.f64 y y)) (pow.f64 z #s(literal 5 binary64))) (.f64 t #s(literal 1/4 binary64)) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 z (*.f64 z z)))) (/.f64 y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(fma.f64 t (fma.f64 t (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y (.f64 y y)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 (.f64 t (pow.f64 y #s(literal 4 binary64))) #s(literal 1/8 binary64)) (pow.f64 z #s(literal 7 binary64)))) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 z (.f64 z z)))) (/.f64 y z))
(* -2 (/ z t))
(/.f64 (*.f64 z #s(literal -2 binary64)) t)
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 t y)) (.f64 z #s(literal -2 binary64))) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 (.f64 t t) (.f64 y y))) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 t y)) (*.f64 z #s(literal -2 binary64)))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (.f64 (.f64 t t) (.f64 t (.f64 y (.f64 y y))))) (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 (.f64 t t) (.f64 y y))) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 t y)) (.f64 z #s(literal -2 binary64))))) t)
(* -2 (/ z t))
(/.f64 (*.f64 z #s(literal -2 binary64)) t)
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 t y)) (.f64 #s(literal 2 binary64) z)) (neg.f64 t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) z) (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 t (.f64 y y))) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -4 binary64)) y)) t)) (neg.f64 t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) z) (/.f64 (-.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -4 binary64)) y) (/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 y y)) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 7 binary64))) (.f64 t (.f64 y (*.f64 y y))))) t)) t)) (neg.f64 t))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 (* y z))
(.f64 #s(literal 2 binary64) (.f64 z y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* t y))
(*.f64 t (neg.f64 y))
(- (* 2 (pow z 2)) (* t y))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 t (neg.f64 y)))
(- (* 2 (pow z 2)) (* t y))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 t (neg.f64 y)))
(- (* 2 (pow z 2)) (* t y))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 t (neg.f64 y)))
(* 2 (pow z 2))
(.f64 #s(literal 2 binary64) (.f64 z z))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (neg.f64 t) (/.f64 y (*.f64 z z)) #s(literal 2 binary64))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (neg.f64 t) (/.f64 y (*.f64 z z)) #s(literal 2 binary64))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (neg.f64 t) (/.f64 y (*.f64 z z)) #s(literal 2 binary64))))
(* 2 (pow z 2))
(.f64 #s(literal 2 binary64) (.f64 z z))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (neg.f64 t) (/.f64 y (*.f64 z z)) #s(literal 2 binary64))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (neg.f64 t) (/.f64 y (*.f64 z z)) #s(literal 2 binary64))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(.f64 z (.f64 z (fma.f64 (neg.f64 t) (/.f64 y (*.f64 z z)) #s(literal 2 binary64))))
(* 2 (pow z 2))
(.f64 #s(literal 2 binary64) (.f64 z z))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 t (neg.f64 y)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 t (neg.f64 y)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 t (neg.f64 y)))
(* -1 (* t y))
(*.f64 t (neg.f64 y))
(* y (- (* 2 (/ (pow z 2) y)) t))
(.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z z) y) (neg.f64 t)))
(* y (- (* 2 (/ (pow z 2) y)) t))
(.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z z) y) (neg.f64 t)))
(* y (- (* 2 (/ (pow z 2) y)) t))
(.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z z) y) (neg.f64 t)))
(* -1 (* t y))
(*.f64 t (neg.f64 y))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z z) y) (neg.f64 t)))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z z) y) (neg.f64 t)))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z z) y) (neg.f64 t)))
(* 2 (pow z 2))
(.f64 #s(literal 2 binary64) (.f64 z z))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 t (neg.f64 y)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 t (neg.f64 y)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 t (neg.f64 y)))
(* -1 (* t y))
(*.f64 t (neg.f64 y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(.f64 t (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(.f64 t (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(.f64 t (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) t)) y))
(* -1 (* t y))
(*.f64 t (neg.f64 y))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(.f64 t (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) t)) y))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(.f64 t (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) t)) y))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(.f64 t (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) t)) y))
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)

rewrite307.0ms (3.3%)

Memory

-35.5MiB live, 467.3MiB allocated

Rules

5 454×	`lower-fma.f32`
5 448×	`lower-fma.f64`
4 824×	`lower-*.f32`
4 812×	`lower-*.f64`
4 400×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	230
0	57	230
1	227	230
2	1688	230
0	8612	228

Stop Event

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

Counts

20 → 392

Calls

Call 1

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

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

eval179.0ms (1.9%)

Memory: 17.6MiB live, 174.7MiB allocated
Compiler: Compiled 23 868 to 1 584 computations (93.4% saved)

prune270.0ms (2.9%)

Memory

-2.1MiB live, 121.5MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	982	3	985
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	984	8	992

Accuracy

100.0%

Counts

992 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.5%	(fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (*.f64 y #s(literal 2 binary64)) x)
▶	57.3%	(fma.f64 (/.f64 z #s(approx (+ (* (* z z) -2) (* y t)) (.f64 t y))) (.f64 y #s(literal 2 binary64)) x)
▶	47.5%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))))
✓	61.2%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
▶	62.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
✓	62.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x))
▶	20.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))))
▶	15.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))

Compiler

Compiled 188 to 117 computations (37.8% saved)

simplify259.0ms (2.7%)

Memory

2.5MiB live, 41.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z #s(literal 2 binary64))
cost-diff	0	(.f64 y (.f64 z #s(literal 2 binary64)))
cost-diff	0	(/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t)))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))))
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 2 binary64)) z)
cost-diff	0	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z))))
cost-diff	128	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))))
cost-diff	0	(*.f64 t y)
cost-diff	0	#s(approx (+ (* (* z z) -2) (* y t)) (*.f64 t y))
cost-diff	0	(/.f64 z #s(approx (+ (* (* z z) -2) (* y t)) (*.f64 t y)))
cost-diff	0	(fma.f64 (/.f64 z #s(approx (+ (* (* z z) -2) (* y t)) (.f64 t y))) (.f64 y #s(literal 2 binary64)) x)
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	0	(/.f64 (*.f64 #s(literal 2 binary64) z) t)
cost-diff	0	#s(approx (+ (* z (/ 2 t)) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))

Rules

2 600×	`lower-fma.f32`
2 594×	`lower-fma.f64`
1 976×	`lower-*.f32`
1 958×	`lower-*.f64`
1 334×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	303
0	65	298
1	114	298
2	208	298
3	446	295
4	777	295
5	1183	295
6	2379	295
7	3717	295
8	4581	295
9	4850	295
10	4909	295
11	4930	295
12	4951	295
13	5103	295
14	5167	295
15	5167	295
16	5227	295
17	5246	295
18	5246	295
19	5390	295
20	6333	295
0	8023	291

Stop Event

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

Calls

Call 1

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

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

localize262.0ms (2.8%)

Memory

-0.2MiB live, 119.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y t)
accuracy	1.1562438074906176	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))
accuracy	16.718871993685	(/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t)))
accuracy	46.59284945463852	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))))
accuracy	0.00390625	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))))
accuracy	0.01171875	(.f64 #s(literal 2 binary64) (.f64 z z))
accuracy	16.74393473131638	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z))))
accuracy	30.994166718767428	#s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))
accuracy	0	(*.f64 t y)
accuracy	0.8567481398248099	(fma.f64 (/.f64 z #s(approx (+ (* (* z z) -2) (* y t)) (.f64 t y))) (.f64 y #s(literal 2 binary64)) x)
accuracy	17.44106924362239	(/.f64 z #s(approx (+ (* (* z z) -2) (* y t)) (*.f64 t y)))
accuracy	28.864105631493732	#s(approx (+ (* (* z z) -2) (* y t)) (*.f64 t y))
accuracy	0	(/.f64 (*.f64 #s(literal 2 binary64) z) t)
accuracy	0	(*.f64 #s(literal 2 binary64) z)
accuracy	23.832987686373055	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))
accuracy	30.372533093078975	#s(approx (+ (* z (/ 2 t)) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))
accuracy	0	(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
accuracy	0	(/.f64 z t)
accuracy	23.832987686373055	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))

Samples

226.0ms

256×

valid

Compiler

Compiled 237 to 36 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 201.0ms

ival-add: 115.0ms (57.2% of total)

ival-mult: 73.0ms (36.3% of total)

ival-div: 10.0ms (5% of total)

ival-sub: 2.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.6%)

Memory

-29.5MiB live, 49.5MiB allocated

Counts

23 → 720

Calls

Call 1

Inputs
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) (patch (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (/.f64 (.f64 #s(literal 2 binary64) z) t))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z (/ 2 t)) x) (/.f64 (.f64 #s(literal 2 binary64) z) t)) (patch #s(approx (+ ( z (/ 2 t)) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 2 binary64) z) t) (patch (/.f64 (.f64 #s(literal 2 binary64) z) t) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z #s(approx (+ (* (* z z) -2) (* y t)) (.f64 t y))) (.f64 y #s(literal 2 binary64)) x) (patch (fma.f64 (/.f64 z #s(approx (+ (* (* z z) -2) (* y t)) (.f64 t y))) (.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 z #s(approx (+ (* (* z z) -2) (* y t)) (.f64 t y))) (patch (/.f64 z #s(approx (+ ( (* z z) -2) (* y t)) (*.f64 t y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* z z) -2) (* y t)) (.f64 t y)) (patch #s(approx (+ ( (* z z) -2) (* y t)) (*.f64 t y)) #<representation binary64>) () ())
#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z))))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 2 binary64)) z) (patch (.f64 (.f64 y #s(literal 2 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t)))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))) (patch (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))) #<representation binary64>) () ())
#s(alt (.f64 y (.f64 z #s(literal 2 binary64))) (patch (.f64 y (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal 2 binary64)) (patch (.f64 z #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z))) (patch #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 z z)) (patch (.f64 #s(literal 2 binary64) (.f64 z z)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t)) (patch (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t)) #<representation binary64>) () ())
#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())

Outputs
#s(alt (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (taylor 0 x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y z))) (taylor 0 y) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) (taylor 0 y) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) (taylor 0 y) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- x (* -2 (/ z t))) (taylor inf y) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) (taylor inf y) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) (taylor inf y) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) (taylor inf y) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- x (* -2 (/ z t))) (taylor -inf y) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) (taylor -inf y) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) (taylor -inf y) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) (taylor -inf y) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 (/ z t))) (taylor 0 z) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) (taylor 0 z) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) (taylor 0 z) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y z))) (taylor inf z) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor inf z) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) (taylor inf z) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y z))) (taylor -inf z) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) (taylor -inf z) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) (taylor -inf z) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) (taylor inf t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) (taylor inf t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* t y) (taylor -inf y) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor -inf y) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor -inf y) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor -inf y) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor inf t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor inf t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor inf t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor inf t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor -inf t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor -inf t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor -inf t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor -inf t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())

Calls

180 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
0.0ms	t	@	-inf	(/ z t)
0.0ms	z	@	-inf	(/ z t)
0.0ms	z	@	inf	(/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t)))
0.0ms	z	@	0	(/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t)))

simplify458.0ms (4.9%)

Memory

-4.0MiB live, 353.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 686×	`lower-fma.f64`
8 686×	`lower-fma.f32`
5 828×	`lower-*.f64`
5 828×	`lower-*.f32`
2 392×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	657	8969
1	2044	8846
2	6269	8737
0	8319	8236

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 670

Calls

Call 1

Inputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* 2 (/ z t))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* 2 (/ z t))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))))
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))))
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
x
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(/ z (* t y))
(* z (+ (* 2 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (/ 1 (* t y))))
(* z (+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 4 (/ 1 (* (pow t 3) (pow y 3)))))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(/ -1/2 z)
(/ (- (* -1/4 (/ (* t y) (pow z 2))) 1/2) z)
(/ (- (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1/2 (* 1/4 (/ (* t y) (pow z 2))))) z)
(/ (- (* -1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1/2 (+ (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* t y) (pow z 2)))))) z)
(/ -1/2 z)
(* -1 (/ (+ 1/2 (* 1/4 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1/2 (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/4 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1/2 (* 1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/4 (/ (* t y) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) z))
(/ -1/2 z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 5))) (* 1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 7))) (* 1/8 (/ (pow t 2) (pow z 5))))) (* 1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z)))
(/ z (* t y))
(/ (+ (* 2 (/ (pow z 3) (* (pow t 2) y))) (/ z t)) y)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (/ z t)) (* -2 (/ (pow z 3) (* (pow t 2) y)))) y)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (/ z t)) (+ (* -4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 3) (* (pow t 2) y))))) y)
(/ z (* t y))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* (pow t 2) y))) (* -1 (/ z t))) y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* 4 (/ (pow z 5) (* (pow t 3) y))) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* (pow t 4) y))) (* 4 (/ (pow z 5) (pow t 3)))) y)) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(/ -1/2 z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(/ z (* t y))
(/ (+ (* 2 (/ (pow z 3) (* t (pow y 2)))) (/ z y)) t)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (/ z y)) (* -2 (/ (pow z 3) (* t (pow y 2))))) t)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 3) (pow y 4)))) (/ z y)) (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* -2 (/ (pow z 3) (* t (pow y 2)))))) t)
(/ z (* t y))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* t (pow y 2)))) (* -1 (/ z y))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* 4 (/ (pow z 5) (* t (pow y 3)))) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* t (pow y 4)))) (* 4 (/ (pow z 5) (pow y 3)))) t)) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))
(* t y)
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* -2 (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* -2 (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* t y)
(* y (+ t (* -2 (/ (pow z 2) y))))
(* y (+ t (* -2 (/ (pow z 2) y))))
(* y (+ t (* -2 (/ (pow z 2) y))))
(* t y)
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
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x
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x
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x
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x
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(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))
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(* 2 (* y z))
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(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* 2 (pow z 2))
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(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
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(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* -2 (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
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(* y (+ t (* -2 (/ (pow z 2) y))))
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(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
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(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
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(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
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(* t y)
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Outputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(.f64 #s(literal -2 binary64) (.f64 z (/.f64 y (fma.f64 y (neg.f64 t) (.f64 z (.f64 z #s(literal 2 binary64)))))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 #s(literal -2 binary64) (.f64 z (/.f64 y (fma.f64 y (neg.f64 t) (.f64 z (*.f64 z #s(literal 2 binary64)))))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 #s(literal -2 binary64) (.f64 z (/.f64 y (fma.f64 y (neg.f64 t) (.f64 z (*.f64 z #s(literal 2 binary64)))))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 #s(literal -2 binary64) (.f64 z (/.f64 y (fma.f64 y (neg.f64 t) (.f64 z (*.f64 z #s(literal 2 binary64)))))) x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 (/.f64 (.f64 y z) (.f64 (fma.f64 y (neg.f64 t) (.f64 z (.f64 z #s(literal 2 binary64)))) x)) (*.f64 #s(literal -2 binary64) x) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
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(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* -1 (* t y))
(*.f64 y (neg.f64 t))
(- (* 2 (pow z 2)) (* t y))
(fma.f64 y (neg.f64 t) (.f64 z (.f64 z #s(literal 2 binary64))))
(- (* 2 (pow z 2)) (* t y))
(fma.f64 y (neg.f64 t) (.f64 z (.f64 z #s(literal 2 binary64))))
(- (* 2 (pow z 2)) (* t y))
(fma.f64 y (neg.f64 t) (.f64 z (.f64 z #s(literal 2 binary64))))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(.f64 (.f64 z z) (fma.f64 (neg.f64 y) (/.f64 t (*.f64 z z)) #s(literal 2 binary64)))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(.f64 (.f64 z z) (fma.f64 (neg.f64 y) (/.f64 t (*.f64 z z)) #s(literal 2 binary64)))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(.f64 (.f64 z z) (fma.f64 (neg.f64 y) (/.f64 t (*.f64 z z)) #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(.f64 (.f64 z z) (fma.f64 (neg.f64 y) (/.f64 t (*.f64 z z)) #s(literal 2 binary64)))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(.f64 (.f64 z z) (fma.f64 (neg.f64 y) (/.f64 t (*.f64 z z)) #s(literal 2 binary64)))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(.f64 (.f64 z z) (fma.f64 (neg.f64 y) (/.f64 t (*.f64 z z)) #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 y (neg.f64 t) (.f64 z (.f64 z #s(literal 2 binary64))))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 y (neg.f64 t) (.f64 z (.f64 z #s(literal 2 binary64))))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 y (neg.f64 t) (.f64 z (.f64 z #s(literal 2 binary64))))
(* -1 (* t y))
(*.f64 y (neg.f64 t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z z) y) (neg.f64 t)))
(* y (- (* 2 (/ (pow z 2) y)) t))
(.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z z) y) (neg.f64 t)))
(* y (- (* 2 (/ (pow z 2) y)) t))
(.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z z) y) (neg.f64 t)))
(* -1 (* t y))
(*.f64 y (neg.f64 t))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(neg.f64 (.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) y) t)))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(neg.f64 (.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) y) t)))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(neg.f64 (.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) y) t)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 y (neg.f64 t) (.f64 z (.f64 z #s(literal 2 binary64))))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 y (neg.f64 t) (.f64 z (.f64 z #s(literal 2 binary64))))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 y (neg.f64 t) (.f64 z (.f64 z #s(literal 2 binary64))))
(* -1 (* t y))
(*.f64 y (neg.f64 t))
(* t (- (* 2 (/ (pow z 2) t)) y))
(.f64 t (-.f64 (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) t) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(.f64 t (-.f64 (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) t) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(.f64 t (-.f64 (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) t) y))
(* -1 (* t y))
(*.f64 y (neg.f64 t))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(neg.f64 (.f64 t (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) t) y)))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(neg.f64 (.f64 t (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) t) y)))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(neg.f64 (.f64 t (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) t) y)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* t y)
(*.f64 y t)
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))
(* -2 (pow z 2))
(.f64 z (.f64 #s(literal -2 binary64) z))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(.f64 (.f64 (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64)) z) z)
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(.f64 (.f64 (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64)) z) z)
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(.f64 (.f64 (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64)) z) z)
(* -2 (pow z 2))
(.f64 z (.f64 #s(literal -2 binary64) z))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(.f64 (.f64 (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64)) z) z)
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(.f64 (.f64 (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64)) z) z)
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(.f64 (.f64 (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64)) z) z)
(* -2 (pow z 2))
(.f64 z (.f64 #s(literal -2 binary64) z))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))
(* t y)
(*.f64 y t)
(* y (+ t (* -2 (/ (pow z 2) y))))
(.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) y) t))
(* y (+ t (* -2 (/ (pow z 2) y))))
(.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) y) t))
(* y (+ t (* -2 (/ (pow z 2) y))))
(.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) y) t))
(* t y)
(*.f64 y t)
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) y) t))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) y) t))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) y) t))
(* -2 (pow z 2))
(.f64 z (.f64 #s(literal -2 binary64) z))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))
(* t y)
(*.f64 y t)
(* t (+ y (* -2 (/ (pow z 2) t))))
(.f64 t (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) t) y))
(* t (+ y (* -2 (/ (pow z 2) t))))
(.f64 t (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) t) y))
(* t (+ y (* -2 (/ (pow z 2) t))))
(.f64 t (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) t) y))
(* t y)
(*.f64 y t)
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(.f64 t (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) t) y))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(.f64 t (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) t) y))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(.f64 t (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) t) y))
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)

rewrite602.0ms (6.4%)

Memory

42.9MiB live, 314.8MiB allocated

Rules

5 942×	`lower-fma.f32`
5 936×	`lower-fma.f64`
5 282×	`lower-*.f32`
5 264×	`lower-*.f64`
4 536×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	273
0	65	268
1	253	268
2	1686	268
0	8508	264

Stop Event

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

Counts

23 → 373

Calls

Call 1

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

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

eval130.0ms (1.4%)

Memory: -1.3MiB live, 260.1MiB allocated
Compiler: Compiled 22 154 to 1 377 computations (93.8% saved)

prune146.0ms (1.5%)

Memory

-6.3MiB live, 279.3MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 052	5	1 057
Fresh	0	0	0
Picked	3	2	5
Done	2	1	3
Total	1 057	8	1 065

Accuracy

100.0%

Counts

1 065 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.5%	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x)
✓	61.2%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	62.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
▶	20.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64))))))
▶	14.2%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z))))
✓	15.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))
▶	15.6%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (/.f64 #s(literal 2 binary64) (/.f64 t z))))
▶	15.6%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))

Compiler

Compiled 168 to 106 computations (36.9% saved)

simplify259.0ms (2.7%)

Memory

16.4MiB live, 210.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z #s(literal 2 binary64))
cost-diff	0	(.f64 y (.f64 z #s(literal 2 binary64)))
cost-diff	0	(/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64))))))
cost-diff	0	(/.f64 t z)
cost-diff	0	#s(approx (+ (* z (/ 2 t)) x) (/.f64 #s(literal 2 binary64) (/.f64 t z)))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (/.f64 #s(literal 2 binary64) (/.f64 t z))))
cost-diff	384	(/.f64 #s(literal 2 binary64) (/.f64 t z))
cost-diff	0	(/.f64 #s(literal 2 binary64) t)
cost-diff	0	(*.f64 (/.f64 #s(literal 2 binary64) t) z)
cost-diff	0	#s(approx (+ (* z (/ 2 t)) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(/.f64 y (neg.f64 z))
cost-diff	0	#s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z)))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z))))
cost-diff	0	#s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))
cost-diff	0	(*.f64 y z)
cost-diff	0	(/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z))))
cost-diff	0	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x)

Rules

3 376×	`lower-fma.f32`
3 372×	`lower-fma.f64`
2 844×	`lower-*.f32`
2 828×	`lower-*.f64`
1 976×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	323
0	65	321
1	116	321
2	183	321
3	344	317
4	608	317
5	1070	317
6	2382	317
7	3377	317
8	3741	317
9	3911	317
10	4031	317
11	4096	317
12	4556	317
13	5152	317
14	5433	317
15	5798	317
16	5893	317
17	5895	317
18	5895	317
19	5927	309
20	6082	309
21	6308	309
22	7813	309
0	8013	293

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (1.3%)

Memory

-19.2MiB live, 239.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 y (.f64 z #s(literal 2 binary64)))
accuracy	0.5039007452111204	(fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64))))
accuracy	16.718871993685	(/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))))
accuracy	46.59284945463852	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64))))))
accuracy	0	(/.f64 t z)
accuracy	0.25	(/.f64 #s(literal 2 binary64) (/.f64 t z))
accuracy	23.832987686373055	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (/.f64 #s(literal 2 binary64) (/.f64 t z))))
accuracy	30.372533093078975	#s(approx (+ (* z (/ 2 t)) x) (/.f64 #s(literal 2 binary64) (/.f64 t z)))
accuracy	0	(/.f64 #s(literal 2 binary64) t)
accuracy	0.4783457022825443	(*.f64 (/.f64 #s(literal 2 binary64) t) z)
accuracy	23.832987686373055	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
accuracy	30.372533093078975	#s(approx (+ (* z (/ 2 t)) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
accuracy	0	(/.f64 y (neg.f64 z))
accuracy	0	(neg.f64 z)
accuracy	33.074707375579436	#s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z)))
accuracy	46.59284945463852	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z))))
accuracy	0.00390625	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x)
accuracy	0.01171875	(.f64 #s(literal 2 binary64) (.f64 z z))
accuracy	16.750959830643033	(/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z))))
accuracy	30.994166718767428	#s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))

Samples

65.0ms

256×

valid

Compiler

Compiled 229 to 38 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 25.0ms (54.9% of total)

ival-div: 12.0ms (26.4% of total)

ival-add: 4.0ms (8.8% of total)

ival-sub: 2.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.4%)

Memory

7.8MiB live, 84.6MiB allocated

Counts

22 → 684

Calls

Call 1

Inputs
#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) (patch (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z))) (patch #s(approx (- (* (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z))) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z)))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z))) (patch #s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z))) #<representation binary64>) () ())
#s(alt (/.f64 y (neg.f64 z)) (patch (/.f64 y (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z (/ 2 t)) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( z (/ 2 t)) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 2 binary64) t) z) (patch (.f64 (/.f64 #s(literal 2 binary64) t) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (/.f64 t z)) (patch (/.f64 #s(literal 2 binary64) (/.f64 t z)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (/.f64 #s(literal 2 binary64) (/.f64 t z)))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (/.f64 #s(literal 2 binary64) (/.f64 t z)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z (/ 2 t)) x) (/.f64 #s(literal 2 binary64) (/.f64 t z))) (patch #s(approx (+ (* z (/ 2 t)) x) (/.f64 #s(literal 2 binary64) (/.f64 t z))) #<representation binary64>) () ())
#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64))))) (patch (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 y (.f64 z #s(literal 2 binary64))) (patch (.f64 y (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal 2 binary64)) (patch (.f64 z #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 z z)) (patch (.f64 #s(literal 2 binary64) (.f64 z z)) #<representation binary64>) () ())
#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y z))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z)))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 (/ z t))) (taylor inf y) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))) (taylor inf y) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))) (taylor inf y) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3)))))))) (taylor inf y) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 (/ z t))) (taylor -inf y) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 (/ z t))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y z))) (taylor inf z) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) (taylor inf z) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))))) (taylor inf z) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y z))) (taylor -inf z) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) (taylor -inf z) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) (taylor -inf z) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y z))) (taylor 0 t) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) (taylor 0 t) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))) (taylor 0 t) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))) (taylor 0 t) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf t) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 (/ z t))) (taylor inf t) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))) (taylor inf t) (#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))) (taylor -inf t) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))) (taylor -inf t) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))) (taylor -inf t) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 z) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (pow z 2)) (* t y)) (taylor 0 z) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (pow z 2)) (* t y)) (taylor 0 z) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (pow z 2)) (* t y)) (taylor 0 z) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow z 2)) (taylor inf z) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) (taylor inf z) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) (taylor inf z) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) (taylor inf z) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow z 2)) (taylor -inf z) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) (taylor -inf z) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) (taylor -inf z) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) (taylor -inf z) (#s(alt (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) (patch (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64)))) #<representation binary64>) () ())) ())

Calls

171 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(/ 2 (/ t z))
0.0ms	z	@	-inf	(/ (* y z) (- (* (* z 2) z) (* y t)))
0.0ms	z	@	-inf	(/ t z)
0.0ms	x	@	0	(+ (* -2 (/ (* y z) (- (* (* z 2) z) (* y t)))) x)
0.0ms	y	@	0	(/ y (neg z))

simplify262.0ms (2.8%)

Memory

16.0MiB live, 444.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 608×	`lower-fma.f64`
8 608×	`lower-fma.f32`
5 512×	`lower-*.f64`
5 512×	`lower-*.f32`
2 578×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	538	8633
1	1621	8545
2	4752	8391
0	8384	7875

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 634

Calls

Call 1

Inputs
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))))
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
x
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(+ x (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(+ x (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(+ x (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* 1/2 (/ y z))
(* y (+ (* 1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z))))
(* y (+ (* y (- (* 1/8 (/ (* (pow t 2) y) (pow z 5))) (* -1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z))))
(* y (+ (* y (- (* y (- (* 1/16 (/ (* (pow t 3) y) (pow z 7))) (* -1/8 (/ (pow t 2) (pow z 5))))) (* -1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z))))
(* -1 (/ z t))
(+ (* -2 (/ (pow z 3) (* (pow t 2) y))) (* -1 (/ z t)))
(- (+ (* -4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* -1 (/ z t))) (* 2 (/ (pow z 3) (* (pow t 2) y))))
(- (+ (* -8 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (* -1 (/ z t))) (+ (* 2 (/ (pow z 3) (* (pow t 2) y))) (* 4 (/ (pow z 5) (* (pow t 3) (pow y 2))))))
(* -1 (/ z t))
(+ (* -2 (/ (pow z 3) (* (pow t 2) y))) (* -1 (/ z t)))
(+ (* -1 (/ z t)) (* -1 (/ (+ (* 2 (/ (pow z 3) (pow t 2))) (* 4 (/ (pow z 5) (* (pow t 3) y)))) y)))
(+ (* -1 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 7) (* (pow t 4) y))) (* -4 (/ (pow z 5) (pow t 3)))) y)) (* 2 (/ (pow z 3) (pow t 2)))) y)))
(* -1 (/ z t))
(* z (- (* -2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t)))
(* z (- (* (pow z 2) (- (* -4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)))
(* 1/2 (/ y z))
(/ (+ (* 1/4 (/ (* t (pow y 2)) (pow z 2))) (* 1/2 y)) z)
(/ (- (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 y)) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (- (+ (* 1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (* 1/2 y)) (+ (* -1/4 (/ (* t (pow y 2)) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)
(* 1/2 (/ y z))
(* -1 (/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ (* -1/2 y) (+ (* -1/4 (/ (* t (pow y 2)) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))
(* -1 (/ (+ (* -1/2 y) (+ (* -1/4 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z))
(* 1/2 (/ y z))
(+ (* 1/4 (/ (* t (pow y 2)) (pow z 3))) (* 1/2 (/ y z)))
(+ (* 1/2 (/ y z)) (* t (- (* 1/8 (/ (* t (pow y 3)) (pow z 5))) (* -1/4 (/ (pow y 2) (pow z 3))))))
(+ (* 1/2 (/ y z)) (* t (- (* t (- (* 1/16 (/ (* t (pow y 4)) (pow z 7))) (* -1/8 (/ (pow y 3) (pow z 5))))) (* -1/4 (/ (pow y 2) (pow z 3))))))
(* -1 (/ z t))
(/ (+ (* -2 (/ (pow z 3) (* t y))) (* -1 z)) t)
(/ (- (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* -1 z)) (* 2 (/ (pow z 3) (* t y)))) t)
(/ (- (+ (* -8 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (* -1 z)) (+ (* 2 (/ (pow z 3) (* t y))) (* 4 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t)
(* -1 (/ z t))
(* -1 (/ (+ z (* 2 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ z (* -1 (/ (- (* -4 (/ (pow z 5) (* t (pow y 2)))) (* 2 (/ (pow z 3) y))) t))) t))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 7) (* t (pow y 3)))) (* -4 (/ (pow z 5) (pow y 2)))) t)) (* 2 (/ (pow z 3) y))) t))) t))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(* -1 (* t y))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* -1 (* t y))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(* -1 (* t y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* -1 (* t y))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* -1 (/ y z))
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z)))
(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* y (+ (* -1/4 (/ (pow t 2) (pow z 5))) (* -1/8 (/ (* (pow t 3) y) (pow z 7))))))) (/ 1 z)))
(* 2 (/ z t))
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))
(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))
(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3)))))))
(* 2 (/ z t))
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))
(+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))
(+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))
(* 2 (/ z t))
(* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)
(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z)
(* -1 (/ y z))
(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))
(* -1 (/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(* 2 (/ z t))
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t)
(* 2 (/ z t))
(* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 3)))) (* -8 (/ (pow z 5) (pow y 2)))) t)) (* 4 (/ (pow z 3) y))) t))) t))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
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Outputs
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y t) (.f64 z (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)) x)
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 t t)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) t) (.f64 z (*.f64 z z)))) (/.f64 #s(literal -1 binary64) z)) x)
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(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))
(/.f64 (fma.f64 z #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 y t)) (/.f64 (.f64 (pow.f64 z #s(literal 5 binary64)) #s(literal 8 binary64)) (.f64 y (.f64 y (*.f64 t t)))))) t)
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 3)))) (* -8 (/ (pow z 5) (pow y 2)))) t)) (* 4 (/ (pow z 3) y))) t))) t))
(/.f64 (fma.f64 z #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 z (.f64 z z)) y) (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 y y)) (/.f64 (.f64 (pow.f64 z #s(literal 7 binary64)) #s(literal -16 binary64)) (.f64 y (.f64 y (*.f64 y t))))) t)) t)) (neg.f64 t))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* -2 (pow z 2))
(.f64 (.f64 z z) #s(literal -2 binary64))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
(* t y)
(*.f64 y t)
(* y (+ t (* -2 (/ (pow z 2) y))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) y) t))
(* y (+ t (* -2 (/ (pow z 2) y))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) y) t))
(* y (+ t (* -2 (/ (pow z 2) y))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) y) t))
(* t y)
(*.f64 y t)
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) y) t))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) y) t))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) y) t))
(* -2 (pow z 2))
(.f64 (.f64 z z) #s(literal -2 binary64))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
(* t y)
(*.f64 y t)
(* t (+ y (* -2 (/ (pow z 2) t))))
(.f64 t (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) t) y))
(* t (+ y (* -2 (/ (pow z 2) t))))
(.f64 t (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) t) y))
(* t (+ y (* -2 (/ (pow z 2) t))))
(.f64 t (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) t) y))
(* t y)
(*.f64 y t)
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(.f64 t (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) t) y))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(.f64 t (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) t) y))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(.f64 t (fma.f64 (.f64 z z) (/.f64 #s(literal -2 binary64) t) y))
(* t y)
(*.f64 y t)
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
(* -2 (pow z 2))
(.f64 (.f64 z z) #s(literal -2 binary64))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(.f64 (.f64 z z) (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64)))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(.f64 (.f64 z z) (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64)))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(.f64 (.f64 z z) (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64)))
(* -2 (pow z 2))
(.f64 (.f64 z z) #s(literal -2 binary64))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(.f64 (.f64 z z) (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64)))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(.f64 (.f64 z z) (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64)))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(.f64 (.f64 z z) (fma.f64 y (/.f64 t (*.f64 z z)) #s(literal -2 binary64)))

rewrite296.0ms (3.1%)

Memory

-26.1MiB live, 371.4MiB allocated

Rules

5 450×	`lower-fma.f32`
5 446×	`lower-fma.f64`
5 182×	`lower-*.f32`
5 166×	`lower-*.f64`
4 356×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	294
0	65	292
1	241	292
2	1666	292
0	8135	284

Stop Event

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

Counts

22 → 363

Calls

Call 1

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

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

eval365.0ms (3.9%)

Memory: -90.9MiB live, 243.4MiB allocated
Compiler: Compiled 19 074 to 1 154 computations (93.9% saved)

prune135.0ms (1.4%)

Memory

-11.9MiB live, 233.2MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	996	1	997
Fresh	0	0	0
Picked	0	5	5
Done	0	3	3
Total	996	9	1 005

Accuracy

100.0%

Counts

1 005 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.5%	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 #s(literal 2 binary64) (.f64 z z)))) x)
✓	61.2%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	62.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
✓	20.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 y t (.f64 z (.f64 z #s(literal -2 binary64))))))
✓	14.2%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z))))
	14.2%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)))
✓	15.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))
✓	15.6%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (/.f64 #s(literal 2 binary64) (/.f64 t z))))
✓	15.6%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* z (/ 2 t)) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))

Compiler

Compiled 290 to 127 computations (56.2% saved)

regimes34.0ms (0.4%)

Memory

29.5MiB live, 68.4MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (*.f64 y #s(literal 2 binary64)) x)
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

Calls

6 calls:

6.0ms	z
5.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
5.0ms	x
5.0ms	y
5.0ms	t

Results

Accuracy	Segments	Branch
91.5%	1	`x`
91.5%	1	`y`
93.8%	2	`z`
91.5%	1	`t`
95.0%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
94.6%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes32.0ms (0.3%)

Memory

-21.8MiB live, 55.5MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))

(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

Calls

6 calls:

6.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
6.0ms	y
5.0ms	x
5.0ms	z
5.0ms	t

Results

Accuracy	Segments	Branch
80.1%	3	`y`
70.6%	5	`x`
72.2%	3	`t`
89.7%	3	`z`
71.5%	4	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
69.3%	4	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x))

(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
89.7%	3	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes15.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

Calls

6 calls:

2.0ms	x
2.0ms	y
2.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
2.0ms	z
2.0ms	t

Results

Accuracy	Segments	Branch
61.2%	1	`x`
61.2%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
61.2%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
61.2%	1	`t`
61.2%	1	`y`
61.2%	1	`z`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes10.0ms (0.1%)

Memory

-22.5MiB live, 17.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z))))

Outputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z))))

Calls

6 calls:

1.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
1.0ms	x
1.0ms	t
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
14.2%	1	`y`
14.2%	1	`z`
14.2%	1	`t`
14.2%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
14.2%	1	`x`
14.2%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`

Compiler

Compiled 60 to 41 computations (31.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.127566754069919e+274	3.500951568059966e+286

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch31.0ms (0.3%)

Memory

3.7MiB live, 41.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.888059886496363e-69	1.6851327318390548e-62
12.0ms	-4.5923657548971716e+30	-3.3464815271534464e+28

Samples

19.0ms

256×

valid

Compiler

Compiled 392 to 260 computations (33.7% saved)

Precisions

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

ival-mult: 8.0ms (63.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.888059886496363e-69	1.6851327318390548e-62
1.0ms	-4.5923657548971716e+30	-3.3464815271534464e+28

Compiler

Compiled 392 to 260 computations (33.7% saved)

simplify30.0ms (0.3%)

Memory

-12.1MiB live, 25.8MiB allocated

Algorithm

1×	egg-herbie

Rules

248×	`unsub-neg_binary64`
172×	`distribute-lft-neg-in_binary64`
170×	`neg-mul-1_binary64`
80×	`neg-sub0_binary64`
80×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	263
1	74	263
2	99	263
3	125	263
4	171	263
5	219	263
6	266	263
7	386	263
8	564	263
9	662	263
10	681	263
11	699	263
12	718	263
13	733	263
14	739	263
15	740	263

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #s(literal 99999999999999995981677400789769932612359931733321583285118877944076548466448094957909476304960015890806678857380756006307062602577317320133875536163700284518967198097453618232695975663570046546450378657742479671982722077174989256760731188933351130765773907040474247261585408 binary64)) (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 z #s(literal -49999999999999995716575428608 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 3509704541618749/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -49999999999999995716575428608 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 3509704541618749/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z))))

Outputs
(if (<=.f64 (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #s(literal 99999999999999995981677400789769932612359931733321583285118877944076548466448094957909476304960015890806678857380756006307062602577317320133875536163700284518967198097453618232695975663570046546450378657742479671982722077174989256760731188933351130765773907040474247261585408 binary64)) (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (+.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 y t) (.f64 z (.f64 #s(literal 2 binary64) z))))) #s(literal 99999999999999995981677400789769932612359931733321583285118877944076548466448094957909476304960015890806678857380756006307062602577317320133875536163700284518967198097453618232695975663570046546450378657742479671982722077174989256760731188933351130765773907040474247261585408 binary64)) (fma.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))) (.f64 y #s(literal 2 binary64)) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 z #s(literal -49999999999999995716575428608 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 3509704541618749/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -49999999999999995716575428608 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 3509704541618749/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (/ (* y (* z 2)) (+ (* -2 (* z z)) (* y t))) (/.f64 y (neg.f64 z))))

soundness603.0ms (6.4%)

Memory

42.2MiB live, 463.0MiB allocated

Rules

10 952×	`lower-fma.f64`
10 952×	`lower-fma.f32`
8 686×	`lower-fma.f64`
8 686×	`lower-fma.f32`
8 416×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	230
0	57	230
1	227	230
2	1688	230
0	8612	228
0	347	2176
1	1030	2127
2	3143	2097
0	8600	1977
0	657	8969
1	2044	8846
2	6269	8737
0	8319	8236
0	13	49
0	21	49
1	71	49
2	541	49
3	7465	49
0	8831	46

Stop Event

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

Compiler

Compiled 207 to 103 computations (50.2% saved)

preprocess44.0ms (0.5%)

Memory: 7.3MiB live, 84.6MiB allocated
Compiler: Compiled 298 to 124 computations (58.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	55	263
1	74	263
2	99	263
3	125	263
4	171	263
5	219	263
6	266	263
7	386	263
8	564	263
9	662	263
10	681	263
11	699	263
12	718	263
13	733	263
14	739	263
15	740	263

Iter	Nodes	Cost
0	55	263
1	74	263
2	99	263
3	125	263
4	171	263
5	219	263
6	266	263
7	386	263
8	564	263
9	662	263
10	681	263
11	699	263
12	718	263
13	733	263
14	739	263
15	740	263

start0.0ms (0%)

analyze276.0ms (2.9%)

sample1.3s (13.4%)

explain367.0ms (3.9%)

preprocess183.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify85.0ms (0.9%)

localize32.0ms (0.3%)

series72.0ms (0.8%)

simplify945.0ms (10%)

rewrite405.0ms (4.3%)

eval123.0ms (1.3%)

prune86.0ms (0.9%)

simplify215.0ms (2.3%)

localize106.0ms (1.1%)

series48.0ms (0.5%)

simplify272.0ms (2.9%)

rewrite307.0ms (3.3%)

eval179.0ms (1.9%)

prune270.0ms (2.9%)

simplify259.0ms (2.7%)

localize262.0ms (2.8%)

series54.0ms (0.6%)

simplify458.0ms (4.9%)

rewrite602.0ms (6.4%)

eval130.0ms (1.4%)

prune146.0ms (1.5%)

simplify259.0ms (2.7%)

localize126.0ms (1.3%)

series38.0ms (0.4%)

simplify262.0ms (2.8%)

rewrite296.0ms (3.1%)

eval365.0ms (3.9%)

prune135.0ms (1.4%)

regimes34.0ms (0.4%)

regimes32.0ms (0.3%)

regimes3.0ms (0%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch31.0ms (0.3%)

bsearch1.0ms (0%)

simplify30.0ms (0.3%)

soundness603.0ms (6.4%)

preprocess44.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	55	263
1	74	263
2	99	263
3	125	263
4	171	263
5	219	263
6	266	263
7	386	263
8	564	263
9	662	263
10	681	263
11	699	263
12	718	263
13	733	263
14	739	263
15	740	263