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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze305.0ms (3.5%)

Memory

-6.8MiB live, 275.4MiB 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)

sample1.8s (19.9%)

Memory

31.6MiB live, 1 523.5MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 658.0ms

ival-mult: 464.0ms (70.5% of total)

ival-sub: 99.0ms (15% of total)

ival-div: 83.0ms (12.6% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain164.0ms (1.9%)

Memory

-11.3MiB live, 329.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
81	-	2	(-3.088309949637191e-204 5.052194910291124e-31 -4.703730357102505e-287 -5.478739072857765e-36)	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
4	-	0	-	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`
0	-	0	-	`(*.f64 y t)`
0	-	0	-	`(.f64 (.f64 y #s(literal 2 binary64)) z)`
0	-	0	-	`t`
0	-	0	-	`(.f64 (.f64 z #s(literal 2 binary64)) z)`
0	-	0	-	`z`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
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	-	`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	10	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	32
↳	`(*.f64 y t)`	overflow	32
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	87
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	60
`-.f64`	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	nan-rescue	4	0
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	60
↳	`(*.f64 y t)`	overflow	32
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/n	4	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	35
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/u	3	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	35
↳	`(*.f64 y t)`	underflow	28
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	7
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	60
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/o	3	0
↳	`(*.f64 y t)`	overflow	32
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	87
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	60
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/n	2	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	32
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/u	1	0
↳	`(*.f64 y t)`	underflow	28
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	7
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	60

Confusion

	Predicted +	Predicted -
+	24	22
-	1	209

Precision

0.96

Recall

0.5217391304347826

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	24	0	22
-	1	0	209

Precision?

0.96

Recall?

0.5217391304347826

Freqs

test

number	freq
0	231
1	23
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 155 to 43 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 15.0ms (63.5% of total)

ival-sub: 4.0ms (16.9% of total)

ival-div: 3.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess174.0ms (2%)

Memory

25.7MiB live, 100.0MiB 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 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) x)

Compiler

Compiled 21 to 13 computations (38.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.1%	(-.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 21 to 13 computations (38.1% saved)

simplify107.0ms (1.2%)

Memory

4.9MiB live, 49.0MiB 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 (/.f64 (.f64 z y) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) 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 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))) (.f64 #s(literal -2 binary64) z))
(.f64 (.f64 y #s(literal 2 binary64)) z)
(.f64 z (.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
z
(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
(fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))
(.f64 (.f64 z #s(literal 2 binary64)) z)
(*.f64 z #s(literal 2 binary64))
(*.f64 y t)
(*.f64 t y)
t

localize35.0ms (0.4%)

Memory

-13.5MiB live, 58.2MiB 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	0.8476541858302059	(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
accuracy	18.985927658684	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))

Samples

26.0ms

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 (61.1% of total)

ival-div: 2.0ms (17.5% of total)

ival-sub: 2.0ms (17.5% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.3%)

Memory

9.0MiB live, 45.3MiB 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 (- x (/ y z)) (taylor 0 t) (#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 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#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 (* 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 (-.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 (* 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 (-.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 (/ y z) (taylor 0 t) (#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 (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) (taylor 0 t) (#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 (+ (* 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 (/.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 (+ (* 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)) (taylor 0 t) (#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 (* 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 x (taylor inf t) (#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 t) (#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 t) (#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 (* 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 (-.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 (* -2 (/ z t)) (taylor inf t) (#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 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) (taylor inf t) (#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 (/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) (taylor inf t) (#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>) () ())) ())
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#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>) () ())) ())

Calls

12 calls:

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

simplify228.0ms (2.6%)

Memory

40.5MiB live, 258.3MiB 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	2160
1	1030	2124
2	3147	2097
0	8645	1977

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 148

Calls

Call 1

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

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

rewrite511.0ms (5.8%)

Memory

-187.2MiB live, 356.3MiB 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 (/.f64 (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))) (fma.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)))) (.f64 #s(literal 8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (-.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) x) (.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x))))) (fma.f64 x x (.f64 (/.f64 (.f64 z (.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (pow.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z)) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z)) (-.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))) (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))))) (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x)) (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x))) (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))))
(.f64 (neg.f64 (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) z x))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (/.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x)))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) z x))))
(.f64 (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) z x)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x)) (/.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x)) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 x x (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))) (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x))) (fma.f64 x x (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x))) (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))) (fma.f64 x x (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x)))) (fma.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)))) (.f64 #s(literal 8 binary64) (.f64 (.f64 y y) y)) (.f64 (*.f64 x x) x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)))) (fma.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)))) (.f64 #s(literal 8 binary64) (.f64 (.f64 y y) y)) (.f64 (*.f64 x x) x)))))
(/.f64 (.f64 (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) z x))
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(-.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) z) (/.f64 z (fma.f64 t y (.f64 (.f64 z #s(literal 2 binary64)) z)))) (.f64 (.f64 (.f64 t t) y) (/.f64 y (fma.f64 t y (.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(-.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z)) (/.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) z) z (.f64 (fma.f64 t y (.f64 (.f64 z #s(literal 2 binary64)) z)) (.f64 t y))))) (/.f64 (.f64 (.f64 (.f64 t t) y) (.f64 (.f64 t y) y)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) z) z (.f64 (fma.f64 t y (.f64 (.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 t y))
(+.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 z z))) (*.f64 (neg.f64 t) y))
(+.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) z) (/.f64 z (fma.f64 t y (.f64 (.f64 z #s(literal 2 binary64)) z)))) (neg.f64 (.f64 (.f64 (.f64 t t) y) (/.f64 y (fma.f64 t y (.f64 (*.f64 z #s(literal 2 binary64)) z))))))
(+.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z)) (/.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) z) z (.f64 (fma.f64 t y (.f64 (.f64 z #s(literal 2 binary64)) z)) (.f64 t y))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 t t) y) (.f64 (.f64 t y) y)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) z) z (.f64 (fma.f64 t y (.f64 (.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))))
(+.f64 (.f64 (neg.f64 t) y) (.f64 (*.f64 z #s(literal 2 binary64)) z))
(+.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 (neg.f64 t) y))

eval69.0ms (0.8%)

Memory: -11.2MiB live, 180.7MiB allocated
Compiler: Compiled 22 948 to 1 524 computations (93.4% saved)

prune89.0ms (1%)

Memory

21.9MiB live, 218.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	542	6	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	543	6	549

Accuracy

99.8%

Counts

549 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))))
▶	91.9%	(-.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y)) (neg.f64 z))))
▶	64.0%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
▶	63.1%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
▶	63.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
	16.5%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y)))))

Compiler

Compiled 180 to 116 computations (35.6% saved)

simplify188.0ms (2.1%)

Memory

-12.2MiB live, 101.6MiB 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 (neg.f64 t) y)))
cost-diff	128	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))))
cost-diff	0	(/.f64 z t)
cost-diff	0	(*.f64 #s(literal -2 binary64) (/.f64 z t))
cost-diff	0	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
cost-diff	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
cost-diff	0	(/.f64 #s(literal 2 binary64) t)
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z 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 #s(literal 2 binary64) y)
cost-diff	128	(-.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y)) (neg.f64 z))))
cost-diff	192	(/.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y)) (neg.f64 z)))
cost-diff	320	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (neg.f64 z))

Rules

3 524×	`lower-fma.f32`
3 520×	`lower-fma.f64`
2 204×	`lower-*.f32`
2 190×	`lower-*.f64`
1 544×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	282
0	62	282
1	114	282
2	226	280
3	587	275
4	1806	275
5	3811	275
6	5341	275
7	6045	275
8	6260	275
9	6437	275
10	6445	275
11	6449	275
12	6573	275
13	6621	275
14	6621	275
15	6789	266
16	7431	266
0	8186	256

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.2%)

Memory

-15.9MiB live, 227.1MiB 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 (neg.f64 t) y))))
accuracy	18.985927658684	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))
accuracy	30.91150715108122	#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))
accuracy	0	(/.f64 z t)
accuracy	0.00390625	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
accuracy	0.00390625	(*.f64 #s(literal -2 binary64) (/.f64 z t))
accuracy	31.279263796785703	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
accuracy	0	(/.f64 #s(literal 2 binary64) t)
accuracy	0.10546875	(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
accuracy	23.63157109327479	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z 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	31.504832609915653	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
accuracy	0.00390625	(-.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y)) (neg.f64 z))))
accuracy	0.9492125574906175	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
accuracy	3.854982476748402	(/.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y)) (neg.f64 z)))
accuracy	16.64887581402305	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (neg.f64 z))

Samples

88.0ms

256×

valid

Compiler

Compiled 247 to 33 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 19.0ms (36.1% of total)

ival-add: 14.0ms (26.6% of total)

ival-div: 10.0ms (19% of total)

ival-sub: 7.0ms (13.3% of total)

ival-neg: 2.0ms (3.8% 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

11.2MiB live, 129.5MiB allocated

Counts

21 → 672

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	((/ (+ (* -2 (* z z)) (* t y)) (neg z)) (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (- x (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) (* 2 y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (+ (* -2 (* z z)) (* t y)) (- (* (* z 2) z) (* y t)) (neg t))
4.0ms	z	@	0	((/ (+ (* -2 (* z z)) (* t y)) (neg z)) (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (- x (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) (* 2 y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (+ (* -2 (* z z)) (* t y)) (- (* (* z 2) z) (* y t)) (neg t))
3.0ms	z	@	inf	((/ (+ (* -2 (* z z)) (* t y)) (neg z)) (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (- x (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) (* 2 y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (+ (* -2 (* z z)) (* t y)) (- (* (* z 2) z) (* y t)) (neg t))
2.0ms	y	@	-inf	((/ (+ (* -2 (* z z)) (* t y)) (neg z)) (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (- x (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) (* 2 y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (+ (* -2 (* z z)) (* t y)) (- (* (* z 2) z) (* y t)) (neg t))
2.0ms	t	@	-inf	((/ (+ (* -2 (* z z)) (* t y)) (neg z)) (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (- x (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) (* 2 y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (+ (* -2 (* z z)) (* t y)) (- (* (* z 2) z) (* y t)) (neg t))

simplify233.0ms (2.6%)

Memory

8.9MiB live, 278.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 064×	`lower-fma.f64`
10 064×	`lower-fma.f32`
5 498×	`lower-*.f64`
5 498×	`lower-*.f32`
2 834×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	415	9250
1	1266	9108
2	3862	9040
0	8787	8473

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 627

Calls

Call 1

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

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

rewrite247.0ms (2.8%)

Memory

-58.6MiB live, 236.2MiB allocated

Rules

4 986×	`lower-*.f32`
4 972×	`lower-*.f64`
4 894×	`lower-/.f32`
4 882×	`lower-/.f64`
3 136×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	248
0	62	248
1	251	246
2	1892	246
0	8250	243

Stop Event

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

Counts

21 → 496

Calls

Call 1

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

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

eval173.0ms (2%)

Memory: 30.8MiB live, 216.2MiB allocated
Compiler: Compiled 24 926 to 1 786 computations (92.8% saved)

prune124.0ms (1.4%)

Memory

-24.6MiB live, 261.1MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 118	5	1 123
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 122	7	1 129

Accuracy

100.0%

Counts

1 129 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(-.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) #s(approx (/ (+ ( -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64))))))
✓	64.0%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
▶	62.8%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal -2 binary64) (/.f64 t z))))
▶	63.1%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
✓	63.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
▶	16.5%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))))
▶	10.9%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))

Compiler

Compiled 167 to 105 computations (37.1% saved)

simplify327.0ms (3.7%)

Memory

23.6MiB live, 140.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))))
cost-diff	0	(/.f64 t z)
cost-diff	0	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal -2 binary64) (/.f64 t z)))
cost-diff	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal -2 binary64) (/.f64 t z))))
cost-diff	384	(/.f64 #s(literal -2 binary64) (/.f64 t z))
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))
cost-diff	0	(/.f64 z t)
cost-diff	0	(*.f64 (/.f64 z t) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(/.f64 (.f64 #s(literal 2 binary64) y) #s(approx (/ (+ ( -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64)))))
cost-diff	128	(-.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) #s(approx (/ (+ ( -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64))))))

Rules

2 488×	`lower-fma.f32`
2 482×	`lower-fma.f64`
2 440×	`lower-*.f32`
2 426×	`lower-*.f64`
1 302×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	328
0	69	323
1	127	323
2	214	323
3	408	320
4	718	318
5	1455	318
6	3570	312
7	4354	312
8	4600	305
9	4818	305
10	5140	305
11	5172	305
12	5634	305
13	5892	305
14	6105	305
15	6317	305
16	6520	305
17	6544	305
18	6704	305
19	7428	305
20	7688	305
21	7889	305
0	8079	294

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (1.5%)

Memory

0.8MiB live, 191.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.9492125574906175	(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
accuracy	3.983888726748402	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))))
accuracy	16.716233648535297	(/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))
accuracy	50.26038956097223	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))))
accuracy	0	(/.f64 t z)
accuracy	0.00390625	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal -2 binary64) (/.f64 t z))))
accuracy	0.6111382955401156	(/.f64 #s(literal -2 binary64) (/.f64 t z))
accuracy	31.279263796785703	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal -2 binary64) (/.f64 t z)))
accuracy	0	(/.f64 z t)
accuracy	0.00390625	(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
accuracy	23.63157109327479	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
accuracy	0	(/.f64 z t)
accuracy	0.00390625	(*.f64 (/.f64 z t) #s(literal 2 binary64))
accuracy	23.63157109327479	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
accuracy	33.53932347730158	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
accuracy	0	#s(approx (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64))))
accuracy	0.00390625	(-.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) #s(approx (/ (+ ( -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64))))))
accuracy	2.427980313229423	(fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64)))
accuracy	3.854982476748402	(/.f64 (.f64 #s(literal 2 binary64) y) #s(approx (/ (+ ( -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64)))))

Samples

111.0ms

256×

valid

Compiler

Compiled 251 to 41 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-sub: 41.0ms (45.9% of total)

ival-mult: 26.0ms (29.1% of total)

ival-div: 15.0ms (16.8% of total)

ival-add: 5.0ms (5.6% of total)

ival-neg: 2.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series52.0ms (0.6%)

Memory

7.4MiB live, 84.1MiB allocated

Counts

20 → 684

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	((- x (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ -2 (/ t z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ t z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (* y 2) (/ z (+ (* (* z z) -2) (* y t))) (+ (* (/ (neg y) z) t) (* z 2)) (+ (* (* z z) -2) (* y t)))
3.0ms	z	@	-inf	((- x (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ -2 (/ t z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ t z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (* y 2) (/ z (+ (* (* z z) -2) (* y t))) (+ (* (/ (neg y) z) t) (* z 2)) (+ (* (* z z) -2) (* y t)))
2.0ms	z	@	0	((- x (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ -2 (/ t z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ t z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (* y 2) (/ z (+ (* (* z z) -2) (* y t))) (+ (* (/ (neg y) z) t) (* z 2)) (+ (* (* z z) -2) (* y t)))
2.0ms	t	@	0	((- x (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ -2 (/ t z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ t z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (* y 2) (/ z (+ (* (* z z) -2) (* y t))) (+ (* (/ (neg y) z) t) (* z 2)) (+ (* (* z z) -2) (* y t)))
2.0ms	t	@	inf	((- x (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) (/ (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (* 2 y) (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ -2 (/ t z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ t z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (* y 2) (/ z (+ (* (* z z) -2) (* y t))) (+ (* (/ (neg y) z) t) (* z 2)) (+ (* (* z z) -2) (* y t)))

simplify203.0ms (2.3%)

Memory

13.5MiB live, 165.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 492×	`lower-fma.f64`
8 492×	`lower-fma.f32`
5 976×	`lower-*.f64`
5 976×	`lower-*.f32`
2 380×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	651	9495
1	2048	9330
2	6333	9251
0	8354	8737

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 634

Calls

Call 1

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

rewrite279.0ms (3.2%)

Memory

-7.9MiB live, 278.5MiB allocated

Rules

5 572×	`lower-fma.f32`
5 566×	`lower-fma.f64`
5 020×	`lower-*.f32`
5 006×	`lower-*.f64`
4 502×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	289
0	69	284
1	297	284
2	1852	284
0	8747	280

Stop Event

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

Counts

20 → 415

Calls

Call 1

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

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

eval163.0ms (1.8%)

Memory: 13.4MiB live, 315.7MiB allocated
Compiler: Compiled 24 509 to 1 701 computations (93.1% saved)

prune156.0ms (1.8%)

Memory

4.5MiB live, 324.5MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 101	4	1 105
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	1 103	9	1 112

Accuracy

100.0%

Counts

1 112 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(fma.f64 #s(literal -2 binary64) (/.f64 y #s(approx (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64))))) x)
✓	64.0%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	63.1%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
✓	63.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
✓	16.5%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))))
▶	10.9%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(literal 2 binary64) (/.f64 t z))))
✓	10.9%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
▶	10.9%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
▶	13.2%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (/.f64 (neg.f64 y) z)))

Compiler

Compiled 113 to 71 computations (37.2% saved)

simplify220.0ms (2.5%)

Memory

-1.6MiB live, 83.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

4 160×	`lower-fma.f32`
4 156×	`lower-fma.f64`
2 432×	`lower-*.f32`
2 428×	`lower-*.f64`
1 312×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	273
0	56	273
1	106	273
2	178	273
3	346	270
4	630	270
5	1345	270
6	3332	264
7	4189	264
8	4497	254
9	4731	254
10	5051	254
11	5085	254
12	5549	254
13	5820	254
14	5978	254
15	6192	254
16	6407	254
17	6431	254
18	6591	254
19	7309	254
20	7569	254
21	7770	254
22	7970	254
0	8216	242

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

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

localize176.0ms (2%)

Memory

-16.4MiB live, 98.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64))))
accuracy	0.00390625	(fma.f64 #s(literal -2 binary64) (/.f64 y #s(approx (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64))))) x)
accuracy	2.427980313229423	(fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64)))
accuracy	3.854562503364194	(/.f64 y #s(approx (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64)))))
accuracy	0	(/.f64 t z)
accuracy	0.6111382955401156	(/.f64 #s(literal 2 binary64) (/.f64 t z))
accuracy	23.63157109327479	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(literal 2 binary64) (/.f64 t z))))
accuracy	33.53932347730158	#s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(literal 2 binary64) (/.f64 t z)))
accuracy	0	(/.f64 #s(literal 2 binary64) t)
accuracy	0.203125	(*.f64 (/.f64 #s(literal 2 binary64) t) z)
accuracy	23.63157109327479	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
accuracy	33.53932347730158	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
accuracy	0	(/.f64 (neg.f64 y) z)
accuracy	0	(neg.f64 y)
accuracy	31.504832609915653	#s(approx (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (/.f64 (neg.f64 y) z))
accuracy	50.26038956097223	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (/.f64 (neg.f64 y) z)))

Samples

128.0ms

256×

valid

Compiler

Compiled 181 to 38 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 89.0ms (79.5% of total)

ival-div: 13.0ms (11.6% of total)

ival-add: 5.0ms (4.5% of total)

ival-sub: 2.0ms (1.8% of total)

ival-neg: 2.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series193.0ms (2.2%)

Memory

-2.1MiB live, 79.1MiB allocated

Counts

16 → 528

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
72.0ms	x	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (/ 2 (/ t z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ t z) (+ (* -2 (/ y (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) x) (/ y (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (+ (* (/ (neg y) z) t) (* z 2)))
6.0ms	z	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (/ 2 (/ t z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ t z) (+ (* -2 (/ y (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) x) (/ y (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (+ (* (/ (neg y) z) t) (* z 2)))
2.0ms	z	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (/ 2 (/ t z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ t z) (+ (* -2 (/ y (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) x) (/ y (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (+ (* (/ (neg y) z) t) (* z 2)))
2.0ms	t	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (/ 2 (/ t z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ t z) (+ (* -2 (/ y (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) x) (/ y (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (+ (* (/ (neg y) z) t) (* z 2)))
2.0ms	z	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (/ 2 (/ t z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ t z) (+ (* -2 (/ y (/ (+ (* -2 (* z z)) (* t y)) (neg z)))) x) (/ y (/ (+ (* -2 (* z z)) (* t y)) (neg z))) (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (+ (* (/ (neg y) z) t) (* z 2)))

simplify179.0ms (2%)

Memory

14.5MiB live, 222.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 166×	`lower-fma.f64`
9 166×	`lower-fma.f32`
5 310×	`lower-*.f64`
5 310×	`lower-*.f32`
3 076×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	529	6683
1	1620	6555
2	4889	6501
0	8147	6127

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 486

Calls

Call 1

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

rewrite216.0ms (2.5%)

Memory

-7.1MiB live, 188.5MiB allocated

Rules

5 594×	`lower-fma.f32`
5 590×	`lower-fma.f64`
5 222×	`lower-*.f32`
5 218×	`lower-*.f64`
4 460×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	250
0	56	250
1	247	250
2	1679	250
0	8568	238

Stop Event

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

Counts

16 → 270

Calls

Call 1

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

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

eval384.0ms (4.4%)

Memory: 6.6MiB live, 163.5MiB allocated
Compiler: Compiled 15 193 to 1 129 computations (92.6% saved)

prune138.0ms (1.6%)

Memory

7.2MiB live, 129.8MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	837	0	837
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	837	9	846

Accuracy

100.0%

Counts

846 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.8%	(fma.f64 #s(literal -2 binary64) (/.f64 y #s(approx (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64))))) x)
✓	64.0%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	63.1%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
✓	63.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
✓	16.5%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))))
✓	10.9%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(literal 2 binary64) (/.f64 t z))))
✓	10.9%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
✓	10.9%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
✓	13.2%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* y 2) (/ z (+ (* (* z z) -2) (* y t)))) (/.f64 (neg.f64 y) z)))

Compiler

Compiled 288 to 125 computations (56.6% saved)

regimes59.0ms (0.7%)

Memory

6.9MiB live, 45.8MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

6 calls:

32.0ms	(-.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	z
5.0ms	y
5.0ms	t
5.0ms	x

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`y`
97.8%	1	`z`
97.8%	1	`t`
97.8%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
97.8%	1	`(/.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)

regimes121.0ms (1.4%)

Memory

-31.0MiB live, 52.4MiB allocated

Counts

12 → 3

Calls

Call 1

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

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:

65.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
39.0ms	x
4.0ms	z
4.0ms	t
4.0ms	y

Results

Accuracy	Segments	Branch
68.7%	3	`x`
76.8%	3	`y`
91.7%	3	`z`
78.9%	3	`t`
71.0%	3	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
69.0%	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)

regimes3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
91.6%	3	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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	y
2.0ms	t
2.0ms	x

Results

Accuracy	Segments	Branch
64.0%	1	`x`
64.0%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
64.0%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
64.0%	1	`y`
64.0%	1	`t`
64.0%	1	`z`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes10.0ms (0.1%)

Memory

-21.8MiB 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 2) (/ z (+ (* (* z z) -2) (* y t)))) (/.f64 (neg.f64 y) z)))

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

Calls

6 calls:

2.0ms	z
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	t
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
13.2%	1	`x`
13.2%	1	`y`
13.2%	1	`z`
13.2%	1	`t`
13.2%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
13.2%	1	`(/.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)

bsearch41.0ms (0.5%)

Memory

-6.9MiB live, 31.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3684.4711334448107	15956.675540609454
13.0ms	-2.8589058175735147e+88	-1.5658737467864415e+85

Samples

16.0ms

224×

valid

Compiler

Compiled 346 to 230 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (60.9% of total)

ival-sub: 2.0ms (20.3% of total)

ival-div: 1.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3684.4711334448107	15956.675540609454
1.0ms	-2.8589058175735147e+88	-1.5658737467864415e+85

Compiler

Compiled 346 to 230 computations (33.5% saved)

simplify7.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	234
1	58	234
2	67	234
3	74	234
4	78	234
5	79	234

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 #s(literal -2 binary64) (/.f64 y #s(approx (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64))))) x)
(if (<=.f64 z #s(literal -16000000000000000924265758369854347238996274033537026193568669811755397344270793834496 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 14500 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 -16000000000000000924265758369854347238996274033537026193568669811755397344270793834496 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 14500 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z 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 2) (/ z (+ (* (* z z) -2) (* y t)))) (/.f64 (neg.f64 y) z)))

Outputs
(fma.f64 #s(literal -2 binary64) (/.f64 y #s(approx (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 z #s(literal 2 binary64))))) x)
(fma.f64 #s(literal -2 binary64) (/.f64 y #s(approx (/ (+ (* -2 (* z z)) (* t y)) (neg z)) (fma.f64 (/.f64 (neg.f64 y) z) t (*.f64 #s(literal 2 binary64) z)))) x)
(if (<=.f64 z #s(literal -16000000000000000924265758369854347238996274033537026193568669811755397344270793834496 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 14500 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 -16000000000000000924265758369854347238996274033537026193568669811755397344270793834496 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 14500 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z 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 2) (/ z (+ (* (* z z) -2) (* y t)))) (/.f64 (neg.f64 y) z)))

soundness1.1s (12.1%)

Memory

17.2MiB live, 882.6MiB allocated

Rules

10 952×	`lower-fma.f64`
10 952×	`lower-fma.f32`
10 064×	`lower-fma.f64`
10 064×	`lower-fma.f32`
8 492×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	651	9495
1	2048	9330
2	6333	9251
0	8354	8737
0	39	248
0	62	248
1	251	246
2	1892	246
0	8250	243
0	347	2160
1	1030	2124
2	3147	2097
0	8645	1977
0	415	9250
1	1266	9108
2	3862	9040
0	8787	8473
0	48	289
0	69	284
1	297	284
2	1852	284
0	8747	280
0	13	49
0	21	49
1	71	49
2	541	49
3	7465	49
0	8831	46

Stop Event

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

Compiler

Compiled 220 to 116 computations (47.3% saved)

preprocess76.0ms (0.9%)

Memory: 20.8MiB live, 219.2MiB allocated
Compiler: Compiled 246 to 102 computations (58.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze305.0ms (3.5%)

sample1.8s (19.9%)

explain164.0ms (1.9%)

preprocess174.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify107.0ms (1.2%)

localize35.0ms (0.4%)

series24.0ms (0.3%)

simplify228.0ms (2.6%)

rewrite511.0ms (5.8%)

eval69.0ms (0.8%)

prune89.0ms (1%)

simplify188.0ms (2.1%)

localize109.0ms (1.2%)

series54.0ms (0.6%)

simplify233.0ms (2.6%)

rewrite247.0ms (2.8%)

eval173.0ms (2%)

prune124.0ms (1.4%)

simplify327.0ms (3.7%)

localize135.0ms (1.5%)

series52.0ms (0.6%)

simplify203.0ms (2.3%)

rewrite279.0ms (3.2%)

eval163.0ms (1.8%)

prune156.0ms (1.8%)

simplify220.0ms (2.5%)

localize176.0ms (2%)

series193.0ms (2.2%)

simplify179.0ms (2%)

rewrite216.0ms (2.5%)

eval384.0ms (4.4%)

prune138.0ms (1.6%)

regimes59.0ms (0.7%)

regimes121.0ms (1.4%)

regimes3.0ms (0%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch41.0ms (0.5%)

bsearch1.0ms (0%)

simplify7.0ms (0.1%)

soundness1.1s (12.1%)

preprocess76.0ms (0.9%)

end0.0ms (0%)

Profiling