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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze236.0ms (2.3%)

Memory

-0.2MiB live, 268.3MiB 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)

sample2.1s (19.9%)

Memory

-149.0MiB live, 1 450.4MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 919.0ms (85.1% of total)

ival-sub: 87.0ms (8.1% of total)

ival-div: 60.0ms (5.6% 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

explain197.0ms (1.9%)

Memory

-22.8MiB live, 304.5MiB 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

51.0ms

512×

valid

Compiler

Compiled 155 to 43 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 21.0ms (65.3% of total)

ival-div: 6.0ms (18.7% of total)

ival-sub: 5.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess173.0ms (1.7%)

Memory

16.1MiB live, 100.9MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

simplify81.0ms (0.8%)

Memory

-3.0MiB live, 35.3MiB 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

localize45.0ms (0.4%)

Memory

-6.2MiB live, 71.0MiB 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

24.0ms

256×

valid

Compiler

Compiled 67 to 15 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (51.2% of total)

ival-sub: 4.0ms (29.2% of total)

ival-div: 2.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.2%)

Memory

12.2MiB live, 48.7MiB 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 (- x (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor 0 t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (* 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 x (taylor inf t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 (/ z t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ z t)) (taylor inf t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) (taylor inf t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) (taylor inf t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
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#s(alt (* 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 (* -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>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	y	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	z	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	y	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	z	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))

simplify200.0ms (1.9%)

Memory

-10.6MiB live, 175.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	2232
1	1030	2196
2	3147	2169
0	8645	2049

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 172

Calls

Call 1

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

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

rewrite247.0ms (2.4%)

Memory

19.8MiB live, 329.2MiB 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)))
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(-.f64 (/.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))))) #s(literal 1 binary64)) (/.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)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 t y) #s(literal 1 binary64)))
(-.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))

eval70.0ms (0.7%)

Memory: 33.0MiB live, 187.2MiB allocated
Compiler: Compiled 23 606 to 1 565 computations (93.4% saved)

prune164.0ms (1.6%)

Memory

-34.5MiB live, 221.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	577	7	584
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	578	7	585

Accuracy

99.9%

Counts

585 → 7

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%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
▶	61.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z 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 #s(literal -2 binary64) z) z (.f64 t y)))))

Compiler

Compiled 216 to 136 computations (37% saved)

simplify178.0ms (1.7%)

Memory

-3.4MiB live, 72.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

2 040×	`lower-fma.f32`
2 034×	`lower-fma.f64`
1 528×	`lower-*.f32`
1 514×	`lower-*.f64`
714×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	266
0	57	266
1	102	266
2	181	266
3	388	264
4	707	264
5	1154	260
6	2387	260
7	3191	260
8	3855	260
9	4015	260
10	4055	260
11	4071	260
12	4085	260
13	4153	260
14	4196	260
15	4196	260
16	4236	260
17	4408	260
18	4408	260
0	4408	259

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

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

localize97.0ms (0.9%)

Memory

-2.7MiB live, 117.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
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	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
accuracy	0.01171875	(*.f64 #s(literal -2 binary64) (/.f64 z t))
accuracy	30.933407965564566	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
accuracy	0	(/.f64 #s(literal 2 binary64) t)
accuracy	0.1171875	(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
accuracy	24.4846929428732	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
accuracy	0	(/.f64 y z)
accuracy	0	(-.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

70.0ms

256×

valid

Compiler

Compiled 228 to 31 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 35.0ms (71.5% of total)

ival-div: 8.0ms (16.3% of total)

ival-add: 3.0ms (6.1% of total)

ival-sub: 2.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series92.0ms (0.9%)

Memory

25.7MiB live, 62.8MiB allocated

Counts

21 → 648

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

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

Calls

12 calls:

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

simplify270.0ms (2.6%)

Memory

-11.7MiB live, 238.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	622	8991
1	1928	8912
2	5837	8805
0	8293	8315

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 603

Calls

Call 1

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

rewrite204.0ms (2%)

Memory

-7.9MiB live, 294.7MiB allocated

Rules

5 650×	`lower-fma.f32`
5 644×	`lower-fma.f64`
4 756×	`lower-*.f32`
4 742×	`lower-*.f64`
4 340×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	239
0	57	239
1	232	239
2	1713	239
0	8341	237

Stop Event

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

Counts

21 → 387

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

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

eval127.0ms (1.2%)

Memory: 54.8MiB live, 303.6MiB allocated
Compiler: Compiled 24 331 to 1 564 computations (93.6% saved)

prune132.0ms (1.3%)

Memory

-10.7MiB live, 247.1MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 004	4	1 008
Fresh	1	1	2
Picked	3	2	5
Done	0	0	0
Total	1 008	7	1 015

Accuracy

99.9%

Counts

1 015 → 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)))
▶	27.5%	(.f64 (.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x))))
✓	61.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
▶	15.1%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
▶	20.0%	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))))

Compiler

Compiled 247 to 121 computations (51% saved)

simplify258.0ms (2.5%)

Memory

-18.4MiB live, 174.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))
cost-diff	0	(fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x))
cost-diff	0	(.f64 (fma.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))))
cost-diff	7232	(.f64 (.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x))))
cost-diff	0	(/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.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 z) #s(literal -2 binary64) (.f64 t y))))
cost-diff	0	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))))
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 (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
cost-diff	0	(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

15 306×	`lower-fma.f32`
15 298×	`lower-fma.f64`
3 362×	`lower-*.f32`
3 340×	`lower-*.f64`
2 596×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	612
0	81	712
1	157	701
2	262	505
3	688	503
4	3354	503
0	8178	501

Stop Event

1×	iter limit
1×	node limit
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 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 z t)
z
t
#s(literal 2 binary64)
(-.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 (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(/.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 t y))
(*.f64 z z)
#s(literal -2 binary64)
(*.f64 t y)
t
(.f64 (.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x))))
(.f64 (fma.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))))
(fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.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 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64))) x)
x
(*.f64 x x)
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)))
#s(literal 1 binary64)

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

localize137.0ms (1.3%)

Memory

26.4MiB live, 146.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(.f64 (fma.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))))
accuracy	0.3527401336276819	(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)))
accuracy	30.933407965564566	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))
accuracy	33.261242691631566	(.f64 (.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x))))
accuracy	0.4648416858302058	(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))
accuracy	6.49437041126528	(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))))
accuracy	14.778898855231079	(/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))
accuracy	46.451599609539564	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))))
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 (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
accuracy	30.17829377730685	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
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

111.0ms

256×

valid

Compiler

Compiled 490 to 48 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 31.0ms (55.6% of total)

ival-div: 14.0ms (25.1% of total)

ival-add: 8.0ms (14.3% of total)

ival-sub: 2.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series166.0ms (1.6%)

Memory

-21.2MiB live, 187.6MiB allocated

Counts

23 → 816

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

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

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	x	@	inf	((+ (* (* z y) (/ 2 (+ (* -2 (* z z)) (* t y)))) x) (* z y) (/ 2 (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (* (/ 1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ 1 z) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (* 2 y) (/ z (+ (* (* z z) -2) (* t y))) (* (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (/ 1 (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* t y) (+ (* (* z z) -2) (* t y)) (/ 1 (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))))
23.0ms	z	@	inf	((+ (* (* z y) (/ 2 (+ (* -2 (* z z)) (* t y)))) x) (* z y) (/ 2 (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (* (/ 1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ 1 z) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (* 2 y) (/ z (+ (* (* z z) -2) (* t y))) (* (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (/ 1 (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* t y) (+ (* (* z z) -2) (* t y)) (/ 1 (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))))
9.0ms	t	@	0	((+ (* (* z y) (/ 2 (+ (* -2 (* z z)) (* t y)))) x) (* z y) (/ 2 (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (* (/ 1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ 1 z) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (* 2 y) (/ z (+ (* (* z z) -2) (* t y))) (* (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (/ 1 (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* t y) (+ (* (* z z) -2) (* t y)) (/ 1 (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))))
7.0ms	y	@	inf	((+ (* (* z y) (/ 2 (+ (* -2 (* z z)) (* t y)))) x) (* z y) (/ 2 (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (* (/ 1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ 1 z) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (* 2 y) (/ z (+ (* (* z z) -2) (* t y))) (* (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (/ 1 (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* t y) (+ (* (* z z) -2) (* t y)) (/ 1 (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))))
6.0ms	y	@	-inf	((+ (* (* z y) (/ 2 (+ (* -2 (* z z)) (* t y)))) x) (* z y) (/ 2 (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (* (/ 1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ 1 z) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (* 2 y) (/ z (+ (* (* z z) -2) (* t y))) (* (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (/ 1 (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* t y) (+ (* (* z z) -2) (* t y)) (/ 1 (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))))

simplify245.0ms (2.4%)

Memory

14.4MiB live, 326.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 590×	`lower-*.f64`
6 590×	`lower-*.f32`
6 352×	`lower-fma.f64`
6 352×	`lower-fma.f32`
3 506×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1780	19628
1	5822	19463
0	8110	18385

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 771

Calls

Call 1

Inputs
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
(/ -1 (pow z 2))
(- (* -1/2 (/ (* t y) (pow z 4))) (/ 1 (pow z 2)))
(- (* t (- (* -1/4 (/ (* t (pow y 2)) (pow z 6))) (* 1/2 (/ y (pow z 4))))) (/ 1 (pow z 2)))
(- (* t (- (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 8))) (* 1/4 (/ (pow y 2) (pow z 6))))) (* 1/2 (/ y (pow z 4))))) (/ 1 (pow z 2)))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(/ -1/2 z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) (- x (/ y z)))
(+ (* t (+ (* -1/2 (/ (* (pow y 2) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3))) (* 2 (* (- x (/ y z)) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))))))) (* (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) (- x (/ y z))))
(+ (* t (+ (* -1/2 (/ (* (pow y 2) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3))) (+ (* 2 (* (- x (/ y z)) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))))) (* t (+ (* -1 (/ (* (pow y 2) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (+ (* -1/4 (/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 5))) (* 2 (* (- x (/ y z)) (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2)))))))))))) (* (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) (- x (/ y z))))
(+ (* t (+ (* -1/2 (/ (* (pow y 2) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3))) (+ (* 2 (* (- x (/ y z)) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))))) (* t (+ (* -1 (/ (* (pow y 2) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (+ (* -1/4 (/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 5))) (+ (* 2 (* (- x (/ y z)) (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2)))))) (* t (+ (* -1 (/ (* (pow y 2) (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 3))) (+ (* -1/2 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 5))) (+ (* -1/8 (/ (* (pow y 4) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 7))) (* 2 (* (- x (/ y z)) (- (* 1/16 (/ (pow y 5) (pow z 8))) (* -1/2 (/ (* y (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 2))))))))))))))))) (* (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) (- x (/ y z))))
(+ (/ (* y (+ x (/ y z))) z) (pow x 2))
(+ (* 2 (* t (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))
(+ (* t (+ (* 2 (* t (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2)))))) (* 2 (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))
(+ (* t (+ (* 2 (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (* t (+ (* 2 (* t (- (* 1/16 (/ (pow y 5) (pow z 8))) (* -1/2 (/ (* y (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 2)))))) (* 2 (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))))))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(* t y)
(* t y)
(* t y)
(* t y)
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(/ 1 (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))
(+ (* -2 (/ (* t (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2))) (/ 1 (+ (/ (* y (+ x (/ y z))) z) (pow x 2))))
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(+ (* -8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* x (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* x (+ (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))))))
(+ (* -8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* x (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* x (+ x (+ (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))))))))
(* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))
(+ (* 2 (/ (* x (* y z)) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))
(+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* x (+ x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))))
(+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* x (+ x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))))
(* 1/4 (/ (pow (- (* 2 (pow z 2)) (* t y)) 2) (* (pow y 2) (pow z 2))))
(+ (* -1/8 (/ (* x (pow (- (* 2 (pow z 2)) (* t y)) 3)) (* (pow y 3) (pow z 3)))) (* 1/4 (/ (pow (- (* 2 (pow z 2)) (* t y)) 2) (* (pow y 2) (pow z 2)))))
(+ (* 1/4 (/ (pow (- (* 2 (pow z 2)) (* t y)) 2) (* (pow y 2) (pow z 2)))) (* x (- (* -1 (* x (+ (* -1/16 (/ (pow (- (* 2 (pow z 2)) (* t y)) 4) (* (pow y 4) (pow z 4)))) (* 1/16 (/ (pow (- (* 2 (pow z 2)) (* t y)) 4) (* (pow y 4) (pow z 4))))))) (* 1/8 (/ (pow (- (* 2 (pow z 2)) (* t y)) 3) (* (pow y 3) (pow z 3)))))))
(+ (* 1/4 (/ (pow (- (* 2 (pow z 2)) (* t y)) 2) (* (pow y 2) (pow z 2)))) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (+ (* -1/16 (/ (pow (- (* 2 (pow z 2)) (* t y)) 4) (* (pow y 4) (pow z 4)))) (* 1/16 (/ (pow (- (* 2 (pow z 2)) (* t y)) 4) (* (pow y 4) (pow z 4))))) (- (* 2 (pow z 2)) (* t y))) (* y z))) (* -1/32 (/ (pow (- (* 2 (pow z 2)) (* t y)) 5) (* (pow y 5) (pow z 5))))))) (+ (* -1/16 (/ (pow (- (* 2 (pow z 2)) (* t y)) 4) (* (pow y 4) (pow z 4)))) (* 1/16 (/ (pow (- (* 2 (pow z 2)) (* t y)) 4) (* (pow y 4) (pow z 4))))))) (* 1/8 (/ (pow (- (* 2 (pow z 2)) (* t y)) 3) (* (pow y 3) (pow z 3)))))))
x
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
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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)))))))
(pow x 3)
(* (pow x 3) (+ 1 (+ (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))))
(* (pow x 3) (+ 1 (+ (* -4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (+ (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))))))
(* (pow x 3) (+ 1 (+ (* -8 (/ (* (pow y 3) (pow z 3)) (* (pow x 3) (pow (- (* 2 (pow z 2)) (* t y)) 3)))) (+ (* -4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (+ (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2))))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))))
(/ 1 (pow x 2))
(/ (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (pow x 2)))) (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (+ (* -8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* -2 (/ (* y (* z (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))) (- (* 2 (pow z 2)) (* t y))))) (pow x 3)))) (+ (* -4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2))))))) (pow x 2))
x
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
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)))
(pow x 3)
(* -1 (* (pow x 3) (- (+ (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (+ (* -1 (+ (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2)))))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))) (* -1 (/ (+ (* -1 (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))) (* 8 (/ (* (pow y 3) (pow z 3)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 3))))) x))) x)) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x))))
(/ 1 (pow x 2))
(/ (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (* 4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2))))) (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* y (* z (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))) (* x (- (* 2 (pow z 2)) (* t y))))) (* 8 (/ (* (pow y 3) (pow z 3)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 3))))) (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))) x)) (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x))) (pow x 2))

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

rewrite255.0ms (2.5%)

Memory

13.7MiB live, 367.0MiB allocated

Rules

5 336×	`lower-fma.f32`
5 328×	`lower-fma.f64`
4 696×	`lower-*.f32`
4 674×	`lower-*.f64`
4 292×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	523
0	81	521
1	329	371
2	2218	371
0	8477	368

Stop Event

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

Counts

23 → 548

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

Outputs
(.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y z)) (.f64 #s(literal 2 binary64) (.f64 y z))) (.f64 (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) y (neg.f64 x))))
(.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))) #s(literal 8 binary64)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) z) y)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y z)) (.f64 #s(literal 2 binary64) (.f64 y z))) (.f64 (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))))))
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) z) y (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 z z) #s(literal -2 binary64) (.f64 t y)) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) z) y)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y z)) (.f64 #s(literal 2 binary64) (.f64 y z))) (.f64 (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))))) (fma.f64 (.f64 (.f64 y y) y) (.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))) #s(literal 8 binary64)) (.f64 (*.f64 x x) x))) #s(literal -1 binary64))
(/.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 z z) #s(literal -2 binary64) (.f64 t y)) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))))) (neg.f64 (-.f64 x (.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) y))))
(/.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 z z) #s(literal -2 binary64) (.f64 t y)) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) z) y (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 z z) #s(literal -2 binary64) (.f64 t y)) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))) #s(literal 8 binary64)) (.f64 (.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) z) y)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y z)) (.f64 #s(literal 2 binary64) (.f64 y z))) (.f64 (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)) (fma.f64 (.f64 z z) #s(literal -2 binary64) (*.f64 t y))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y z)) (.f64 #s(literal 2 binary64) (.f64 y z))) (.f64 (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) z) y (neg.f64 x))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) z) y (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) z) y (neg.f64 x)) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) z) y (neg.f64 x))))
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eval724.0ms (7%)

Memory: 14.9MiB live, 458.5MiB allocated
Compiler: Compiled 84 222 to 3 878 computations (95.4% saved)

prune782.0ms (7.5%)

Memory

-12.8MiB live, 370.1MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1 802	5	1 807
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	1 803	11	1 814

Accuracy

99.9%

Counts

1 814 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))
▶	34.3%	(.f64 (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64)))) (.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x)))))
✓	27.5%	(.f64 (.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x))))
▶	25.7%	(.f64 (.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))))) (exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x))) #s(literal -1 binary64))))
✓	61.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
✓	15.1%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
▶	15.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
▶	21.2%	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) y) z))
✓	20.0%	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))))
▶	14.8%	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) #s(approx (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (/.f64 (neg.f64 y) z)))

Compiler

Compiled 407 to 171 computations (58% saved)

simplify368.0ms (3.5%)

Memory

-10.3MiB live, 346.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))))
cost-diff	192	(.f64 (log.f64 (fma.f64 (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x))) #s(literal -1 binary64))
cost-diff	7232	(.f64 (.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))))) (exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x))) #s(literal -1 binary64))))
cost-diff	12224	(exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x))) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))
cost-diff	0	(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (*.f64 t y))) y)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) y) z)
cost-diff	0	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) y) z))
cost-diff	0	(/.f64 #s(literal 2 binary64) t)
cost-diff	0	(*.f64 (/.f64 #s(literal 2 binary64) t) z)
cost-diff	0	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) z)
cost-diff	0	#s(approx (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (/.f64 (neg.f64 y) z))
cost-diff	0	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) #s(approx (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (/.f64 (neg.f64 y) z)))
cost-diff	0	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))
cost-diff	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64))))
cost-diff	320	(.f64 (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64)))) (.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x)))))
cost-diff	6912	(.f64 (fma.f64 (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x))))

Rules

43 674×	`lower-fma.f32`
43 668×	`lower-fma.f64`
6 768×	`lower-+.f32`
6 766×	`lower-+.f64`
4 384×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	1137
0	88	841
1	172	832
2	286	832
3	689	831
4	4172	831
0	9167	826

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (1.2%)

Memory

16.9MiB live, 293.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.0828149136960348	(exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x))) #s(literal -1 binary64)))
accuracy	23.913469357387303	(log.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x)))
accuracy	30.933407965564566	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))
accuracy	33.261242691631566	(.f64 (.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))))) (exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x))) #s(literal -1 binary64))))
accuracy	0.855729070533622	(/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))
accuracy	6.186489890635107	(.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) y) z)
accuracy	8.626077724877065	(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (*.f64 t y))) y)
accuracy	46.451599609539564	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) y) z))
accuracy	0	(/.f64 #s(literal 2 binary64) t)
accuracy	0.22265625	(*.f64 (/.f64 #s(literal 2 binary64) t) z)
accuracy	24.4846929428732	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
accuracy	30.17829377730685	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
accuracy	0	(/.f64 (neg.f64 y) z)
accuracy	0	(neg.f64 y)
accuracy	31.74661883884444	#s(approx (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (/.f64 (neg.f64 y) z))
accuracy	46.451599609539564	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) #s(approx (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (/.f64 (neg.f64 y) z)))
accuracy	0.09212875976844202	(fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x))
accuracy	0.3527401336276819	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x)))
accuracy	25.336198849828406	(.f64 (fma.f64 (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x))))
accuracy	30.933407965564566	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))

Samples

92.0ms

256×

valid

Compiler

Compiled 876 to 54 computations (93.8% saved)

Precisions

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

ival-mult: 36.0ms (52.9% of total)

ival-div: 13.0ms (19.1% of total)

ival-add: 8.0ms (11.8% of total)

ival-exp: 3.0ms (4.4% of total)

ival-log: 3.0ms (4.4% of total)

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

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series130.0ms (1.3%)

Memory

1.0MiB live, 320.8MiB allocated

Counts

23 → 912

Calls

Call 1

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

12 calls:

Time	Variable		Point	Expression
7.0ms	z	@	0	((* (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)))) (* (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))))) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* (/ 2 (+ (* (* z z) -2) (* t y))) y) z) (* (/ 2 (+ (* (* z z) -2) (* t y))) y) (/ 2 (+ (* (* z z) -2) (* t y))) (exp (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1)) (* (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (exp (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1))) (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))))
5.0ms	t	@	inf	((* (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)))) (* (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))))) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* (/ 2 (+ (* (* z z) -2) (* t y))) y) z) (* (/ 2 (+ (* (* z z) -2) (* t y))) y) (/ 2 (+ (* (* z z) -2) (* t y))) (exp (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1)) (* (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (exp (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1))) (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))))
5.0ms	t	@	0	((* (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)))) (* (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))))) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* (/ 2 (+ (* (* z z) -2) (* t y))) y) z) (* (/ 2 (+ (* (* z z) -2) (* t y))) y) (/ 2 (+ (* (* z z) -2) (* t y))) (exp (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1)) (* (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (exp (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1))) (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))))
5.0ms	y	@	inf	((* (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)))) (* (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))))) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* (/ 2 (+ (* (* z z) -2) (* t y))) y) z) (* (/ 2 (+ (* (* z z) -2) (* t y))) y) (/ 2 (+ (* (* z z) -2) (* t y))) (exp (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1)) (* (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (exp (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1))) (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))))
4.0ms	y	@	-inf	((* (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)))) (* (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))))) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (* (* (/ 2 (+ (* (* z z) -2) (* t y))) y) z) (* (/ 2 (+ (* (* z z) -2) (* t y))) y) (/ 2 (+ (* (* z z) -2) (* t y))) (exp (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1)) (* (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (exp (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1))) (* (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))) (/ 1 (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))))

simplify259.0ms (2.5%)

Memory

-5.5MiB live, 506.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 996×	`lower-fma.f64`
5 996×	`lower-fma.f32`
5 924×	`lower-*.f64`
5 924×	`lower-*.f32`
4 506×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2152	30576
1	6943	29676
0	8472	27959

Stop Event

1×	iter limit
1×	node limit

Counts

912 → 859

Calls

Call 1

Inputs
1
1
1
1
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(- x (/ y z))
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(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(+ x (* -1 (/ y z)))
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(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(* -1 (/ y (pow z 2)))
(+ (* -1 (/ y (pow z 2))) (* -1/2 (/ (* t (pow y 2)) (pow z 4))))
(+ (* -1 (/ y (pow z 2))) (* t (+ (* -1/2 (/ (pow y 2) (pow z 4))) (* -1/4 (/ (* t (pow y 3)) (pow z 6))))))
(+ (* -1 (/ y (pow z 2))) (* t (+ (* -1/2 (/ (pow y 2) (pow z 4))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 6))) (* -1/8 (/ (* t (pow y 4)) (pow z 8))))))))
(/ -1 (pow z 2))
(- (* -1/2 (/ (* t y) (pow z 4))) (/ 1 (pow z 2)))
(- (* t (- (* -1/4 (/ (* t (pow y 2)) (pow z 6))) (* 1/2 (/ y (pow z 4))))) (/ 1 (pow z 2)))
(- (* t (- (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 8))) (* 1/4 (/ (pow y 2) (pow z 6))))) (* 1/2 (/ y (pow z 4))))) (/ 1 (pow z 2)))
(/ 1 (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))
(+ (* -2 (/ (* t (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2))) (/ 1 (+ (/ (* y (+ x (/ y z))) z) (pow x 2))))
(+ (* t (- (* -1 (* t (+ (* -4 (/ (pow (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))) 2) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 3))) (* 2 (/ (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2)))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2)))))) (* 2 (/ (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2))))) (/ 1 (+ (/ (* y (+ x (/ y z))) z) (pow x 2))))
(+ (* t (- (* t (- (* -1 (* t (+ (* -4 (/ (* (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2)))) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 3))) (+ (* -2 (/ (* (+ (* -4 (/ (pow (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))) 2) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 3))) (* 2 (/ (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2)))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2)))) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (* 2 (/ (- (* 1/16 (/ (pow y 5) (pow z 8))) (* -1/2 (/ (* y (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 2)))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2))))))) (+ (* -4 (/ (pow (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))) 2) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 3))) (* 2 (/ (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2)))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2)))))) (* 2 (/ (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2))))) (/ 1 (+ (/ (* y (+ x (/ y z))) z) (pow x 2))))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* -1 (log (+ (/ (* y (+ x (/ y z))) z) (pow x 2))))
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(/ (- (+ 1 (* -1 (/ (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (pow x 2)))) (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))) (pow x 2))
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(/ (- (+ 1 (* -1 (/ (+ (* -8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* -2 (/ (* y (* z (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))) (- (* 2 (pow z 2)) (* t y))))) (pow x 3)))) (+ (* -4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2))))))) (pow x 2))
(pow x 2)
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(/ 1 (pow x 2))
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(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* y (* z (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))) (* x (- (* 2 (pow z 2)) (* t y))))) (* 8 (/ (* (pow y 3) (pow z 3)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 3))))) (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))) x)) (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x))) (pow x 2))
(pow x 2)
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(* -2 (log (/ -1 x)))
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(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* -1/2 (/ (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) x))) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* 48 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3)))) x)) (* 1/2 (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))) x))) x)))

Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
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(.f64 (neg.f64 x) (fma.f64 (.f64 y (/.f64 z (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y)) x))) #s(literal -2 binary64) #s(literal -1 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (.f64 z y) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) x)) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (* 4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2))))) (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 z y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)))) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* y (* z (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))) (* x (- (* 2 (pow z 2)) (* t y))))) (* 8 (/ (* (pow y 3) (pow z 3)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 3))))) (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))) x)) (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 z y) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) x)) #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y))) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y))) x)) #s(literal 8 binary64) #s(literal 0 binary64)))) x) (/.f64 (.f64 #s(literal -2 binary64) (.f64 z y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)))) x)) (.f64 x x))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 z y) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) x)) #s(literal 2 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 z y) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) x)) #s(literal 2 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 z y) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) x)) #s(literal 2 binary64) #s(literal -1 binary64)))
(* 2 (log (/ -1 x)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(+ (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 2 (log (/ -1 x))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 z y)) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) x)))
(+ (* -1 (/ (+ (* 1/2 (/ (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) x)) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x)) (* 2 (log (/ -1 x))))
(-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)))) #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))) (* 1/6 (/ (+ (* -16 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* 48 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3)))) x))) x)) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x)) (* 2 (log (/ -1 x))))
(-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y))) (/.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y))) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)))) #s(literal 32 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)))) #s(literal 4 binary64)) #s(literal -1/2 binary64))) x)) x))
(pow x 3)
(.f64 (.f64 x x) x)
(* -1 (* (pow x 3) (- (+ (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))) 1)))
(neg.f64 (neg.f64 (.f64 (.f64 x x) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (+ (* -1 (+ (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2)))))) x)) 1)))
(.f64 (neg.f64 (.f64 (.f64 x x) x)) (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y))) x)) #s(literal -4 binary64) (fma.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y))) x)) #s(literal 4 binary64) #s(literal 0 binary64)))) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))) (* -1 (/ (+ (* -1 (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))) (* 8 (/ (* (pow y 3) (pow z 3)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 3))))) x))) x)) 1)))
(.f64 (neg.f64 (.f64 (.f64 x x) x)) (-.f64 (/.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y))) (fma.f64 (.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y))) x)) #s(literal 8 binary64) #s(literal 0 binary64))) x)) x) #s(literal 1 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (.f64 z y) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) x)) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (* 4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2))))) (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 z y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)))) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* y (* z (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))) (* x (- (* 2 (pow z 2)) (* t y))))) (* 8 (/ (* (pow y 3) (pow z 3)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 3))))) (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))) x)) (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 z y) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) x)) #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y))) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y))) x)) #s(literal 8 binary64) #s(literal 0 binary64)))) x) (/.f64 (.f64 #s(literal -2 binary64) (.f64 z y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)))) x)) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(.f64 (fma.f64 (/.f64 (.f64 z y) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) x)) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y))) x)) #s(literal -4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 z y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)))) x)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y))) x)) #s(literal -4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 z y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)))) x)) (*.f64 x x))
(* -2 (log (/ -1 x)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 x))) (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* -1/2 (/ (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) x))) x)))
(-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)))) #s(literal 4 binary64)) x) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 z y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)))) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* 48 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3)))) x)) (* 1/2 (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))) x))) x)))
(-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 z y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y))) (/.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y))) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)))) #s(literal 32 binary64)) x) #s(literal -1/6 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 (neg.f64 t) y)) (fma.f64 (.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)))) #s(literal 4 binary64)) #s(literal 1/2 binary64))) x)) x))

rewrite288.0ms (2.8%)

Memory

7.5MiB live, 432.8MiB allocated

Rules

5 734×	`lower-fma.f32`
5 728×	`lower-fma.f64`
4 682×	`lower-*.f32`
4 660×	`lower-*.f64`
4 404×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	895
0	88	597
1	337	545
2	1957	545
0	8600	540

Stop Event

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

Counts

23 → 643

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
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eval482.0ms (4.6%)

Memory: -9.1MiB live, 526.4MiB allocated
Compiler: Compiled 137 167 to 5 283 computations (96.1% saved)

prune372.0ms (3.6%)

Memory

6.2MiB live, 651.3MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	2 167	5	2 172
Fresh	0	0	0
Picked	2	3	5
Done	1	5	6
Total	2 170	13	2 183

Accuracy

99.9%

Counts

2 183 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.4%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
	31.6%	(.f64 (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64)))) (.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (fma.f64 (+.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t))) (.f64 x x))))))
	31.4%	(.f64 (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64)))) (.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x)) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 z t) x) z) t) #s(literal -2 binary64) (.f64 x x))))))
✓	27.5%	(.f64 (.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x))))
	24.6%	(.f64 (.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) (.f64 x x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))))) (exp.f64 #s(approx ( (log (+ (* (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* x x))) -1) (neg.f64 (log.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 z t) x) z) t) #s(literal -2 binary64) (.f64 x x)))))))
	34.2%	(.f64 (.f64 (/.f64 (+.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (.f64 (+.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (-.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t))) x))) (/.f64 (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t))) x)))) (.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) x) #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 x x)))))
✓	61.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
✓	15.1%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
✓	15.0%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
✓	21.2%	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) y) z))
✓	20.0%	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))))
✓	14.8%	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) #s(approx (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (/.f64 (neg.f64 y) z)))
	14.8%	#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) #s(approx (* (* 2 y) (/ z (+ (* (* z z) -2) (* t y)))) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y))))

Compiler

Compiled 942 to 256 computations (72.8% saved)

regimes47.0ms (0.4%)

Memory

20.1MiB live, 95.5MiB allocated

Counts

22 → 2

Calls

Call 1

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

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:

9.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
8.0ms	z
7.0ms	x
7.0ms	t
7.0ms	y

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

-32.0MiB live, 10.7MiB allocated

Counts

14 → 2

Calls

Call 1

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

regimes10.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

13 → 2

Calls

Call 1

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

4.0ms

(/.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)

regimes28.0ms (0.3%)

Memory

6.1MiB live, 44.6MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 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	x
4.0ms	z
4.0ms	t
4.0ms	y

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)

regimes3.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
89.4%	3	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes23.0ms (0.2%)

Memory

-18.4MiB live, 20.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

12.0ms	t
2.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
2.0ms	z
2.0ms	y
2.0ms	x

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)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

(-.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)

regimes4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

2.0ms	z
2.0ms	x

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

15.2MiB live, 15.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) #s(approx (* (* 2 y) (/ z (+ (* (* z z) -2) (* 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	y
1.0ms	x
1.0ms	z
1.0ms	t

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

0.6MiB live, 0.6MiB 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

-38.5MiB live, 0.5MiB 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

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6632384014663683e+210	+inf

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch34.0ms (0.3%)

Memory

10.7MiB live, 50.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.005246147718362202	1394701.8209685602
14.0ms	-3.012293737124509e-25	-2.2327711887746748e-28

Samples

19.0ms

272×

valid

Compiler

Compiled 432 to 292 computations (32.4% saved)

Precisions

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

ival-mult: 8.0ms (65.2% of total)

ival-div: 2.0ms (16.3% of total)

ival-sub: 2.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.005246147718362202	1394701.8209685602
1.0ms	-3.012293737124509e-25	-2.2327711887746748e-28

Compiler

Compiled 415 to 275 computations (33.7% saved)

bsearch33.0ms (0.3%)

Memory

-10.7MiB live, 66.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	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: 11.0ms

ival-mult: 7.0ms (61.2% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.389512087103335e-234	6.3586954651500044e-232
1.0ms	-1.1328685613860337e-138	-4.285042705762569e-144

Compiler

Compiled 392 to 260 computations (33.7% saved)

simplify43.0ms (0.4%)

Memory

4.5MiB live, 43.6MiB allocated

Algorithm

1×	egg-herbie

Rules

308×	`unsub-neg_binary64`
252×	`distribute-lft-neg-in_binary64`
222×	`neg-mul-1_binary64`
116×	`neg-sub0_binary64`
106×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	532
1	111	532
2	138	532
3	166	532
4	214	532
5	263	532
6	314	532
7	462	532
8	687	532
9	836	532
10	885	532
11	921	532
12	959	532
13	979	532
14	999	532
15	1007	532
16	1014	532
17	1018	532
18	1019	532

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

soundness813.0ms (7.8%)

Memory

27.1MiB live, 569.5MiB allocated

Rules

10 952×	`lower-fma.f64`
10 952×	`lower-fma.f32`
8 416×	`lower-fma.f64`
8 416×	`lower-fma.f32`
7 862×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	622	8991
1	1928	8912
2	5837	8805
0	8293	8315
0	13	52
0	21	52
1	71	52
2	541	52
3	7465	52
0	8831	49
0	54	523
0	81	521
1	329	371
2	2218	371
0	8477	368
0	347	2232
1	1030	2196
2	3147	2169
0	8645	2049
0	1780	19628
1	5822	19463
0	8110	18385

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
1×	iter limit
1×	node limit

Compiler

Compiled 461 to 200 computations (56.6% saved)

preprocess141.0ms (1.4%)

Memory: -15.0MiB live, 145.2MiB allocated
Compiler: Compiled 564 to 156 computations (72.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze236.0ms (2.3%)

sample2.1s (19.9%)

explain197.0ms (1.9%)

preprocess173.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify81.0ms (0.8%)

localize45.0ms (0.4%)

series25.0ms (0.2%)

simplify200.0ms (1.9%)

rewrite247.0ms (2.4%)

eval70.0ms (0.7%)

prune164.0ms (1.6%)

simplify178.0ms (1.7%)

localize97.0ms (0.9%)

series92.0ms (0.9%)

simplify270.0ms (2.6%)

rewrite204.0ms (2%)

eval127.0ms (1.2%)

prune132.0ms (1.3%)

simplify258.0ms (2.5%)

localize137.0ms (1.3%)

series166.0ms (1.6%)

simplify245.0ms (2.4%)

rewrite255.0ms (2.5%)

eval724.0ms (7%)

prune782.0ms (7.5%)

simplify368.0ms (3.5%)

localize124.0ms (1.2%)

series130.0ms (1.3%)

simplify259.0ms (2.5%)

rewrite288.0ms (2.8%)

eval482.0ms (4.6%)

prune372.0ms (3.6%)

regimes47.0ms (0.4%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes28.0ms (0.3%)

regimes3.0ms (0%)

regimes23.0ms (0.2%)

regimes2.0ms (0%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch34.0ms (0.3%)

bsearch2.0ms (0%)

bsearch33.0ms (0.3%)

bsearch1.0ms (0%)

simplify43.0ms (0.4%)

soundness813.0ms (7.8%)

preprocess141.0ms (1.4%)

end0.0ms (0%)

Profiling