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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze204.0ms (2.4%)

Memory

-15.1MiB live, 258.1MiB 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)

sample1.9s (23%)

Memory

15.6MiB live, 1 436.9MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 973.0ms

ival-mult: 795.0ms (81.7% of total)

ival-div: 88.0ms (9% of total)

ival-sub: 77.0ms (7.9% of total)

ival-true: 6.0ms (0.6% of total)

exact: 5.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain192.0ms (2.3%)

Memory

42.3MiB live, 275.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
70	1	(2.6456132883148838e+101 1.8639396470698527e-114 1.683874346154674e+209 3.755980420635144e-103)	3	(-8.795223940829372e-184 -1.0418528582082216e-269 2.3206712133916208e-49 1.8898549003181797e+75)	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
2	0	-	0	-	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`
0	0	-	0	-	`(*.f64 y t)`
0	0	-	0	-	`(.f64 (.f64 y #s(literal 2 binary64)) z)`
0	0	-	0	-	`t`
0	0	-	0	-	`(.f64 (.f64 z #s(literal 2 binary64)) z)`
0	0	-	0	-	`z`
0	0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	0	-	0	-	`y`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	0	-	0	-	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/o	12	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	30
↳	`(*.f64 y t)`	overflow	27
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	78
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	56
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/n	6	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	30
`/.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	28
↳	`(*.f64 y t)`	underflow	26
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	5
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	67
`-.f64`	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	nan-rescue	2	0
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	56
↳	`(*.f64 y t)`	overflow	27
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/o	2	0
↳	`(*.f64 y t)`	overflow	27
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	78
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	56
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/n	1	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	28

Confusion

	Predicted +	Predicted -
+	25	14
-	0	217

Precision

1.0

Recall

0.6410256410256411

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	25	0	14
-	0	0	217

Precision?

1.0

Recall?

0.6410256410256411

Freqs

test

number	freq
0	231
1	24
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms

512×

valid

Compiler

Compiled 155 to 43 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 39.0ms (81% of total)

ival-sub: 4.0ms (8.3% of total)

ival-div: 3.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess179.0ms (2.1%)

Memory

-1.5MiB live, 114.6MiB 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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.1%	(-.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)

simplify76.0ms (0.9%)

Memory

-8.9MiB live, 29.4MiB 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

localize91.0ms (1.1%)

Memory

-3.2MiB live, 78.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y t)
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.46484168583020585	(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
accuracy	16.317080966975023	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))

Samples

23.0ms

256×

valid

Compiler

Compiled 67 to 15 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (67.4% of total)

ival-div: 2.0ms (16.9% of total)

ival-sub: 2.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

4.4MiB live, 42.4MiB allocated

Counts

6 → 180

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>) () ())
#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())

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

Calls

45 calls:

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

simplify207.0ms (2.4%)

Memory

-30.0MiB live, 183.1MiB 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	2248
1	1030	2199
2	3143	2169
0	8600	2049

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 172

Calls

Call 1

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

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

rewrite254.0ms (3%)

Memory

36.9MiB live, 300.1MiB 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	52
0	21	52
1	71	52
2	541	52
3	7465	52
0	8831	49

Stop Event

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

Counts

6 → 412

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))
(*.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)))))
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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))
(*.f64 (neg.f64 (neg.f64 t)) y)
(*.f64 (neg.f64 (neg.f64 y)) t)
(*.f64 (neg.f64 t) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 t) y))
(*.f64 (neg.f64 y) (neg.f64 t))
(.f64 #s(literal 1 binary64) (.f64 t y))
(*.f64 t (neg.f64 (neg.f64 y)))
(*.f64 t y)
(*.f64 y (neg.f64 (neg.f64 t)))
(*.f64 y t)
(neg.f64 (*.f64 (neg.f64 t) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) y))

eval74.0ms (0.9%)

Memory: -3.8MiB live, 193.2MiB allocated
Compiler: Compiled 23 606 to 1 568 computations (93.4% saved)

prune155.0ms (1.8%)

Memory

-30.3MiB live, 220.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	578	6	584
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	579	6	585

Accuracy

99.9%

Counts

585 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.4%	(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (*.f64 #s(literal 2 binary64) y) x)
	85.0%	(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
▶	43.7%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))))
▶	58.4%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
▶	61.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
▶	20.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z #s(literal -2 binary64)) z (.f64 t y)))))

Compiler

Compiled 192 to 120 computations (37.5% saved)

simplify176.0ms (2.1%)

Memory

13.5MiB live, 85.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 976×	`lower-fma.f32`
1 968×	`lower-fma.f64`
1 496×	`lower-*.f32`
1 480×	`lower-*.f64`
1 238×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	288
0	60	288
1	114	288
2	187	288
3	384	284
4	698	284
5	1131	282
6	2260	282
7	3406	282
8	4062	282
9	4219	282
10	4259	282
11	4276	282
12	4298	282
13	4410	282
14	4475	282
15	4475	282
16	4515	282
17	4687	282
18	4687	282
0	4687	281

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (1.4%)

Memory

16.9MiB live, 218.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.2539034976055602	(fma.f64 (.f64 z #s(literal -2 binary64)) z (.f64 t y))
accuracy	6.49437041126528	(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z #s(literal -2 binary64)) z (.f64 t y))))
accuracy	14.778898855231079	(/.f64 z (fma.f64 (.f64 z #s(literal -2 binary64)) z (.f64 t y)))
accuracy	46.451599609539564	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z #s(literal -2 binary64)) z (.f64 t y)))))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.00390625	(.f64 (.f64 z z) #s(literal 2 binary64))
accuracy	16.317080966975023	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64))))
accuracy	30.41737057017604	#s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))
accuracy	0	(/.f64 z t)
accuracy	0.00390625	(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
accuracy	24.4846929428732	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
accuracy	0	(/.f64 y z)
accuracy	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
accuracy	31.74661883884444	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.4648416858302058	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
accuracy	1.3432193271523007	(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (*.f64 #s(literal 2 binary64) y) x)
accuracy	14.778898855231079	(/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))

Samples

72.0ms

256×

valid

Compiler

Compiled 250 to 34 computations (86.4% saved)

Precisions

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

ival-mult: 26.0ms (49.2% of total)

ival-div: 19.0ms (36% of total)

ival-add: 4.0ms (7.6% of total)

ival-sub: 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)

series50.0ms (0.6%)

Memory

0.7MiB live, 77.3MiB allocated

Counts

21 → 684

Calls

Call 1

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

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

Calls

171 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(/ z (+ (* -2 (* z z)) (* t y)))
2.0ms	y	@	inf	(+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x)
1.0ms	y	@	0	(+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x)
1.0ms	x	@	0	(+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x)
1.0ms	t	@	0	(+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x)

simplify231.0ms (2.7%)

Memory

-14.5MiB live, 186.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	657	10054
1	2044	9926
2	6274	9780
0	8317	9215

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 639

Calls

Call 1

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

rewrite263.0ms (3.1%)

Memory

9.2MiB live, 318.0MiB allocated

Rules

5 610×	`lower-fma.f32`
5 602×	`lower-fma.f64`
5 066×	`lower-/.f32`
5 058×	`lower-/.f64`
4 586×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	251
0	60	251
1	248	251
2	1619	251
0	8452	248

Stop Event

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

Counts

21 → 427

Calls

Call 1

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

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

eval439.0ms (5.2%)

Memory: -159.8MiB live, 289.2MiB allocated
Compiler: Compiled 26 524 to 1 565 computations (94.1% saved)

prune140.0ms (1.7%)

Memory

34.9MiB live, 342.3MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 094	4	1 098
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	1 097	7	1 104

Accuracy

99.9%

Counts

1 104 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.0%	(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
✓	58.4%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
▶	58.3%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
✓	61.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
▶	20.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))))
▶	15.1%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
▶	14.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (neg.f64 y) z)))

Compiler

Compiled 163 to 103 computations (36.8% saved)

simplify115.0ms (1.4%)

Memory

-7.6MiB live, 76.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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 #s(literal 2 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) y) (/.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 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 #s(literal 1 binary64) z) y))
cost-diff	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
cost-diff	0	(/.f64 z t)
cost-diff	0	(*.f64 (/.f64 z t) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (/ z t) 2) 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 (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) z)
cost-diff	0	#s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (neg.f64 y) z))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (neg.f64 y) z)))
cost-diff	0	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)

Rules

1 368×	`lower-fma.f32`
1 362×	`lower-fma.f64`
1 032×	`lower-*.f32`
1 016×	`lower-*.f64`
742×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	303
0	70	301
1	133	295
2	203	295
3	419	289
4	723	289
5	1272	287
6	2040	287
7	2423	287
8	2651	287
9	2705	287
10	2721	287
11	2723	287
12	2737	287
13	2762	287
14	2762	287
15	2802	287
16	3068	287
0	3068	285

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize211.0ms (2.5%)

Memory

-39.3MiB live, 189.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4648416858302058	(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))
accuracy	6.49437041126528	(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t))))
accuracy	14.778898855231079	(/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))
accuracy	46.451599609539564	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
accuracy	0.16796875	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
accuracy	31.74661883884444	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 #s(literal 1 binary64) z) y))
accuracy	0	(/.f64 z t)
accuracy	0.01171875	(*.f64 (/.f64 z t) #s(literal 2 binary64))
accuracy	24.4846929428732	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
accuracy	30.17829377730685	#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
accuracy	0	(/.f64 (neg.f64 y) z)
accuracy	0	(neg.f64 y)
accuracy	31.74661883884444	#s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (neg.f64 y) z))
accuracy	46.451599609539564	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (neg.f64 y) z)))
accuracy	0	(*.f64 t y)
accuracy	0.4648416858302058	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
accuracy	0.855729070533622	(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
accuracy	9.411206317247878	(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)

Samples

171.0ms

256×

valid

Compiler

Compiled 239 to 42 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-sub: 72.0ms (50.2% of total)

ival-div: 38.0ms (26.5% of total)

ival-mult: 26.0ms (18.1% of total)

ival-add: 5.0ms (3.5% of total)

ival-neg: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.6%)

Memory

-11.2MiB live, 63.0MiB allocated

Counts

22 → 708

Calls

Call 1

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

177 calls:

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

simplify246.0ms (2.9%)

Memory

36.0MiB live, 233.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 648×	`lower-fma.f64`
7 648×	`lower-fma.f32`
5 594×	`lower-*.f64`
5 594×	`lower-*.f32`
3 180×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	792	9926
1	2483	9781
2	7595	9781
0	8204	9219

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 663

Calls

Call 1

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

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

rewrite217.0ms (2.6%)

Memory

-0.1MiB live, 226.1MiB allocated

Rules

5 588×	`lower-fma.f32`
5 582×	`lower-fma.f64`
4 346×	`lower-/.f32`
4 336×	`lower-/.f64`
4 202×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	274
0	70	272
1	284	266
2	1498	266
0	8456	261

Stop Event

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

Counts

22 → 445

Calls

Call 1

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

eval174.0ms (2%)

Memory: 0.9MiB live, 309.3MiB allocated
Compiler: Compiled 24 150 to 1 679 computations (93% saved)

prune167.0ms (2%)

Memory

31.8MiB live, 343.4MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1 104	4	1 108
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	1 105	10	1 115

Accuracy

99.9%

Counts

1 115 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.0%	(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
✓	58.4%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	61.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
✓	20.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))))
▶	15.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))
✓	15.1%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
▶	15.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))
▶	8.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z)))
✓	14.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (neg.f64 y) z)))
▶	14.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z))))

Compiler

Compiled 133 to 84 computations (36.8% saved)

simplify169.0ms (2%)

Memory

-37.9MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))
cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z))
cost-diff	0	(/.f64 #s(literal 2 binary64) t)
cost-diff	0	(*.f64 z (/.f64 #s(literal 2 binary64) t))
cost-diff	0	#s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t)))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))
cost-diff	0	(/.f64 (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z)
cost-diff	0	#s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z)))
cost-diff	1344	(.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	#s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z))))
cost-diff	192	(*.f64 y (/.f64 #s(literal -1 binary64) z))

Rules

3 958×	`lower-*.f32`
3 948×	`lower-*.f64`
2 910×	`lower-fma.f64`
2 910×	`lower-fma.f32`
1 712×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	305
0	60	278
1	117	268
2	240	262
3	531	262
4	1533	262
5	2942	262
6	4966	262
7	6919	262
8	7864	262
0	8128	246

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

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

localize270.0ms (3.2%)

Memory

18.2MiB live, 177.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
accuracy	0.27962875976844204	(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z))
accuracy	24.4846929428732	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))
accuracy	30.17829377730685	#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
accuracy	0	(/.f64 #s(literal 2 binary64) t)
accuracy	0.22265625	(*.f64 z (/.f64 #s(literal 2 binary64) t))
accuracy	24.4846929428732	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))
accuracy	30.17829377730685	#s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t)))
accuracy	0	(neg.f64 (*.f64 y y))
accuracy	30.359842337671758	(.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
accuracy	31.74661883884444	#s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z))
accuracy	46.451599609539564	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z)))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.16796875	(*.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	31.74661883884444	#s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))
accuracy	46.451599609539564	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z))))

Samples

228.0ms

256×

valid

Compiler

Compiled 193 to 41 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 96.0ms (79.7% of total)

ival-div: 18.0ms (14.9% of total)

ival-sub: 2.0ms (1.7% of total)

ival-add: 2.0ms (1.7% of total)

ival-neg: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.4%)

Memory

2.2MiB live, 40.8MiB allocated

Counts

17 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/ -1 z)
0.0ms	y	@	inf	(neg (* y y))
0.0ms	t	@	-inf	(/ 2 t)
0.0ms	y	@	inf	(* (neg (* y y)) (/ 1 y))
0.0ms	t	@	inf	(/ 2 t)

simplify338.0ms (4%)

Memory

-11.8MiB live, 139.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 182×	`lower-fma.f64`
14 182×	`lower-fma.f32`
5 562×	`lower-*.f64`
5 562×	`lower-*.f32`
4 386×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	340	6220
1	986	6146
2	2919	5970
0	8555	5626

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 462

Calls

Call 1

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

rewrite375.0ms (4.4%)

Memory

3.1MiB live, 123.0MiB allocated

Rules

8 260×	`lower-fma.f64`
8 260×	`lower-fma.f32`
4 704×	`lower-*.f32`
4 694×	`lower-*.f64`
3 832×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	280
0	60	251
1	228	239
2	1422	237
0	8806	225

Stop Event

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

Counts

17 → 375

Calls

Call 1

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

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

eval160.0ms (1.9%)

Memory: 17.0MiB live, 178.9MiB allocated
Compiler: Compiled 11 339 to 729 computations (93.6% saved)

prune91.0ms (1.1%)

Memory

3.8MiB live, 163.8MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	832	5	837
Fresh	0	0	0
Picked	2	2	4
Done	0	6	6
Total	834	13	847

Accuracy

99.9%

Counts

847 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.0%	(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
✓	58.4%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	61.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
✓	20.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 y t)))))
	15.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (/.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 #s(literal 1 binary64) z))))
	6.9%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal -1/2 binary64))))))
✓	15.1%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
	8.6%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (.f64 (.f64 (pow.f64 (/.f64 t z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t z) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
✓	15.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))
	10.6%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) y)))
	7.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (.f64 (neg.f64 y) y) (.f64 z y))))
✓	14.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (neg.f64 y) z)))
✓	14.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z))))

Compiler

Compiled 406 to 182 computations (55.2% saved)

regimes41.0ms (0.5%)

Memory

4.6MiB live, 83.7MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	z
7.0ms	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
6.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
6.0ms	x
6.0ms	t

Results

Accuracy	Segments	Branch
91.4%	1	`x`
91.4%	1	`y`
93.7%	2	`z`
91.4%	1	`t`
95.3%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
95.3%	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)

regimes7.0ms (0.1%)

Memory

-25.4MiB live, 13.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes11.0ms (0.1%)

Memory

23.2MiB live, 23.1MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
94.5%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
95.2%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 40 to 25 computations (37.5% saved)

regimes31.0ms (0.4%)

Memory

-14.6MiB live, 64.1MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
69.1%	4	`x`
74.7%	3	`y`
75.9%	3	`t`
89.5%	3	`z`
70.8%	3	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
71.6%	4	`(/.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)

regimes16.0ms (0.2%)

Memory

0.8MiB live, 41.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

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

Calls

6 calls:

4.0ms	(-.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	x
2.0ms	y
2.0ms	z
2.0ms	t

Results

Accuracy	Segments	Branch
58.4%	1	`x`
58.4%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
58.4%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
58.4%	1	`y`
58.4%	1	`t`
61.6%	3	`z`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes3.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
61.6%	3	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Memory

-23.4MiB live, 15.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Calls

2 calls:

3.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
58.4%	1	`x`
58.4%	1	`z`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory

34.1MiB live, 34.1MiB 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 (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (neg.f64 y) z)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
14.8%	1	`y`
14.8%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
14.8%	1	`t`
14.8%	1	`z`
14.8%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
14.8%	1	`x`

Compiler

Compiled 60 to 41 computations (31.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6632384014663683e+210	+inf

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6632384014663683e+210	+inf

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

-38.6MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6632384014663683e+210	+inf

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch50.0ms (0.6%)

Memory

-0.5MiB live, 87.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.005246147718362202	1394701.8209685602
14.0ms	-3.012293737124509e-25	-2.2327711887746748e-28

Samples

20.0ms

272×

valid

Compiler

Compiled 415 to 275 computations (33.7% saved)

Precisions

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

ival-mult: 8.0ms (63% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.4%)

Memory

13.5MiB live, 91.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.389512087103335e-234	6.3586954651500044e-232
17.0ms	-1.1328685613860337e-138	-4.285042705762569e-144

Samples

20.0ms

256×

valid

Compiler

Compiled 392 to 260 computations (33.7% saved)

Precisions

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

ival-mult: 7.0ms (54.9% of total)

ival-sub: 3.0ms (23.5% of total)

ival-div: 2.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.389512087103335e-234	6.3586954651500044e-232
1.0ms	-1.1328685613860337e-138	-4.285042705762569e-144

Compiler

Compiled 392 to 260 computations (33.7% saved)

simplify39.0ms (0.5%)

Memory

-14.7MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Rules

264×	`unsub-neg_binary64`
224×	`distribute-lft-neg-in_binary64`
192×	`neg-mul-1_binary64`
102×	`neg-sub0_binary64`
94×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	459
1	98	459
2	122	459
3	148	459
4	195	459
5	244	459
6	295	459
7	430	459
8	627	459
9	747	459
10	784	459
11	811	459
12	832	459
13	849	459
14	859	459
15	867	459
16	874	459
17	878	459
18	879	459

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) (-.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 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) (fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (.f64 #s(literal 2 binary64) y) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 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 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 z #s(literal -357160372320217/43556142965880123323311949751266331066368 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 190000 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 -4832817552731949/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 8054691727071083/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (.f64 (/.f64 z t) #s(literal 2 binary64)))) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -4832817552731949/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 8054691727071083/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (.f64 z (/.f64 #s(literal 2 binary64) t)))) (-.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 (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (neg.f64 y) z)))

Outputs
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) (-.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 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 t y))) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) (-.f64 x (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 t y)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) (fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (.f64 #s(literal 2 binary64) y) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 t y))) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) (fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (.f64 #s(literal 2 binary64) y) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 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 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 t y))) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 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 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 z #s(literal -357160372320217/43556142965880123323311949751266331066368 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 190000 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 -4832817552731949/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 8054691727071083/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (.f64 (/.f64 z t) #s(literal 2 binary64)))) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -4832817552731949/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 8054691727071083/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (.f64 z (/.f64 #s(literal 2 binary64) t)))) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -4832817552731949/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 8054691727071083/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (-.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 (* (* 2 y) (/ z (+ (* (* z -2) z) (* t y)))) (/.f64 (neg.f64 y) z)))

soundness717.0ms (8.5%)

Memory

23.7MiB live, 645.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
0	21	52
1	71	52
2	541	52
3	7465	52
0	8831	49
0	49	274
0	70	272
1	284	266
2	1498	266
0	8456	261
0	657	10054
1	2044	9926
2	6274	9780
0	8317	9215
0	347	2248
1	1030	2199
2	3143	2169
0	8600	2049

Stop Event

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

Compiler

Compiled 378 to 161 computations (57.4% saved)

preprocess75.0ms (0.9%)

Memory: 6.9MiB live, 124.8MiB allocated
Compiler: Compiled 508 to 148 computations (70.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	77	459
1	98	459
2	122	459
3	148	459
4	195	459
5	244	459
6	295	459
7	430	459
8	627	459
9	747	459
10	784	459
11	811	459
12	832	459
13	849	459
14	859	459
15	867	459
16	874	459
17	878	459
18	879	459

Iter	Nodes	Cost
0	77	459
1	98	459
2	122	459
3	148	459
4	195	459
5	244	459
6	295	459
7	430	459
8	627	459
9	747	459
10	784	459
11	811	459
12	832	459
13	849	459
14	859	459
15	867	459
16	874	459
17	878	459
18	879	459

start0.0ms (0%)

analyze204.0ms (2.4%)

sample1.9s (23%)

explain192.0ms (2.3%)

preprocess179.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify76.0ms (0.9%)

localize91.0ms (1.1%)

series23.0ms (0.3%)

simplify207.0ms (2.4%)

rewrite254.0ms (3%)

eval74.0ms (0.9%)

prune155.0ms (1.8%)

simplify176.0ms (2.1%)

localize117.0ms (1.4%)

series50.0ms (0.6%)

simplify231.0ms (2.7%)

rewrite263.0ms (3.1%)

eval439.0ms (5.2%)

prune140.0ms (1.7%)

simplify115.0ms (1.4%)

localize211.0ms (2.5%)

series51.0ms (0.6%)

simplify246.0ms (2.9%)

rewrite217.0ms (2.6%)

eval174.0ms (2%)

prune167.0ms (2%)

simplify169.0ms (2%)

localize270.0ms (3.2%)

series37.0ms (0.4%)

simplify338.0ms (4%)

rewrite375.0ms (4.4%)

eval160.0ms (1.9%)

prune91.0ms (1.1%)

regimes41.0ms (0.5%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes31.0ms (0.4%)

regimes16.0ms (0.2%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch50.0ms (0.6%)

bsearch33.0ms (0.4%)

bsearch1.0ms (0%)

simplify39.0ms (0.5%)

soundness717.0ms (8.5%)

preprocess75.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	77	459
1	98	459
2	122	459
3	148	459
4	195	459
5	244	459
6	295	459
7	430	459
8	627	459
9	747	459
10	784	459
11	811	459
12	832	459
13	849	459
14	859	459
15	867	459
16	874	459
17	878	459
18	879	459