Metrics for Graphics.Rendering.Plot.Render.Plot.Axis:tickPosition from plot-0.2.3.4

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze81.0ms (1.1%)

Memory

-18.0MiB live, 141.6MiB 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
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
50%	49.9%	49.9%	0.2%	0%	0%	0%	8
75%	74.9%	25%	0.2%	0%	0%	0%	9
75%	74.9%	25%	0.2%	0%	0%	0%	10
75%	74.9%	25%	0.2%	0%	0%	0%	11
75%	74.9%	25%	0.2%	0%	0%	0%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (18.3%)

Memory

15.7MiB live, 797.7MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 427.0ms

ival-mult: 157.0ms (36.7% of total)

ival-add: 111.0ms (26% of total)

ival-div: 108.0ms (25.3% of total)

ival-sub: 44.0ms (10.3% of total)

ival-true: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain80.0ms (1.1%)

Memory

37.1MiB live, 193.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
20	-	1	(-4.24747796909463e+44 1.099303144694766e+272 -4.705594954153236e-305 -15282780.145933513)	`(*.f64 (-.f64 y x) (/.f64 z t))`
0	-	0	-	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`
0	-	0	-	`(-.f64 y x)`
0	-	0	-	`y`
0	-	0	-	`(/.f64 z t)`
0	-	0	-	`t`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(*.f64 (-.f64 y x) (/.f64 z t))`	*no**	4	0
`*.f64`	`(*.f64 (-.f64 y x) (/.f64 z t))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	251

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-div: 4.0ms (32.5% of total)

ival-sub: 3.0ms (24.3% of total)

ival-mult: 3.0ms (24.3% of total)

ival-add: 2.0ms (16.2% of total)

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

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

preprocess118.0ms (1.6%)

Memory

-11.2MiB live, 112.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 328×	`lower-fma.f64`
1 328×	`lower-fma.f32`
1 292×	`unsub-neg`
876×	`sub-neg`
750×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	138
1	123	132
2	331	126
3	1201	126
4	4082	126
5	6917	126
0	8	9
0	12	9
1	18	9
2	31	9
3	72	9
4	138	9
5	235	9
6	388	9
7	685	9
8	1249	9
9	2069	9
10	2290	9
11	2323	9
12	2339	9
13	2340	9
0	2340	8

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Outputs
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify60.0ms (0.8%)

Memory

1.8MiB live, 40.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z t)
cost-diff	0	(-.f64 y x)
cost-diff	0	(*.f64 (-.f64 y x) (/.f64 z t))
cost-diff	128	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Rules

1 328×	`lower-fma.f64`
1 328×	`lower-fma.f32`
592×	`lower-*.f32`
590×	`lower-*.f64`
342×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	12	26
1	18	26
2	31	26
3	72	26
4	138	26
5	235	26
6	388	26
7	685	26
8	1249	26
9	2069	26
10	2290	26
11	2323	26
12	2339	26
13	2340	26
0	2340	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
x
(*.f64 (-.f64 y x) (/.f64 z t))
(-.f64 y x)
y
(/.f64 z t)
z
t

Outputs
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
x
(*.f64 (-.f64 y x) (/.f64 z t))
(*.f64 (/.f64 (-.f64 y x) t) z)
(-.f64 y x)
y
(/.f64 z t)
z
t

localize39.0ms (0.5%)

Memory

-26.5MiB live, 34.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z t)
accuracy	0	(-.f64 y x)
accuracy	0	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
accuracy	4.4425306209529065	(*.f64 (-.f64 y x) (/.f64 z t))

Samples

34.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (32.7% of total)

ival-sub: 1.0ms (16.4% of total)

ival-add: 1.0ms (16.4% of total)

ival-mult: 1.0ms (16.4% of total)

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

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

series17.0ms (0.2%)

Memory

-7.5MiB live, 29.7MiB allocated

Counts

4 → 144

Calls

Call 1

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

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

Calls

12 calls:

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

simplify136.0ms (1.9%)

Memory

13.7MiB live, 170.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 362×	`lower-fma.f64`
10 362×	`lower-fma.f32`
3 266×	`lower-*.f64`
3 266×	`lower-*.f32`
1 326×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	855
1	279	852
2	924	852
3	2969	852
4	5581	852
0	8062	816

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 138

Calls

Call 1

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

Outputs
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (+ (* t x) (* z (- y x))) t)
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t)
(/ (+ (* t x) (* z (- y x))) t)
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t)
(/ (+ (* t x) (* z (- y x))) t)
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
x
(+ x (/ (* z (- y x)) t))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(+ x (/ (* z (- y x)) t))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(+ x (/ (* z (- y x)) t))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
x
(+ x (/ (* z (- y x)) t))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(+ x (/ (* z (- y x)) t))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(+ x (/ (* z (- y x)) t))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
x
(+ x (* z (- (/ y t) (/ x t))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(+ x (* z (- (/ y t) (/ x t))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(+ x (* z (- (/ y t) (/ x t))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(* z (- (/ y t) (/ x t)))
(/.f64 (*.f64 (-.f64 y x) z) t)
(* z (- (+ (/ x z) (/ y t)) (/ x t)))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* z (- (+ (/ x z) (/ y t)) (/ x t)))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* z (- (+ (/ x z) (/ y t)) (/ x t)))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t)))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t)))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t)))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ (* z (- y x)) t)
(/.f64 (*.f64 (-.f64 y x) z) t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(+ x (* -1 (/ (* x z) t)))
(-.f64 x (*.f64 (/.f64 x t) z))
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t)))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t)))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t)))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* -1 (/ (* x z) t))
(*.f64 (neg.f64 z) (/.f64 x t))
(+ (* -1 (/ (* x z) t)) (/ (* y z) t))
(/.f64 (*.f64 (-.f64 y x) z) t)
(+ (* -1 (/ (* x z) t)) (/ (* y z) t))
(/.f64 (*.f64 (-.f64 y x) z) t)
(+ (* -1 (/ (* x z) t)) (/ (* y z) t))
(/.f64 (*.f64 (-.f64 y x) z) t)
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t)))
(/.f64 (*.f64 (-.f64 y x) z) t)
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t)))
(/.f64 (*.f64 (-.f64 y x) z) t)
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t)))
(/.f64 (*.f64 (-.f64 y x) z) t)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y)))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y)))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y)))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y)))))
(/.f64 (*.f64 (-.f64 y x) z) t)
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y)))))
(/.f64 (*.f64 (-.f64 y x) z) t)
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y)))))
(/.f64 (*.f64 (-.f64 y x) z) t)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(+ (* -1 (/ (* x z) t)) (/ (* y z) t))
(/.f64 (*.f64 (-.f64 y x) z) t)
(+ (* -1 (/ (* x z) t)) (/ (* y z) t))
(/.f64 (*.f64 (-.f64 y x) z) t)
(+ (* -1 (/ (* x z) t)) (/ (* y z) t))
(/.f64 (*.f64 (-.f64 y x) z) t)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* x (+ 1 (* -1 (/ z t))))
(-.f64 x (*.f64 (/.f64 x t) z))
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x)))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x)))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x)))))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* -1 (/ (* x z) t))
(*.f64 (neg.f64 z) (/.f64 x t))
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x))))
(/.f64 (*.f64 (-.f64 y x) z) t)
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x))))
(/.f64 (*.f64 (-.f64 y x) z) t)
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x))))
(/.f64 (*.f64 (-.f64 y x) z) t)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* x (- (/ z t) 1)))
(-.f64 x (*.f64 (/.f64 x t) z))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(* -1 (/ (* x z) t))
(*.f64 (neg.f64 z) (/.f64 x t))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t))))
(/.f64 (*.f64 (-.f64 y x) z) t)
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t))))
(/.f64 (*.f64 (-.f64 y x) z) t)
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t))))
(/.f64 (*.f64 (-.f64 y x) z) t)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)

rewrite156.0ms (2.2%)

Memory

-2.7MiB live, 283.1MiB allocated

Rules

4 278×	`lower-*.f32`
4 276×	`lower-*.f64`
3 926×	`lower-fma.f64`
3 926×	`lower-fma.f32`
2 356×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	12	22
1	49	22
2	399	22
3	5321	22
0	8340	21

Stop Event

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

Counts

4 → 349

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(*.f64 (-.f64 y x) (/.f64 z t))
(-.f64 y x)
(/.f64 z t)

Outputs
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -3 binary64)))) (fma.f64 (.f64 (/.f64 (-.f64 y x) t) z) (fma.f64 (/.f64 z t) (-.f64 y x) x) (.f64 x x)))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z)) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (.f64 (/.f64 (neg.f64 z) t) (-.f64 y x)) (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z)) (-.f64 (.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -2 binary64))) (-.f64 (.f64 x x) (pow.f64 (/.f64 t (*.f64 z (-.f64 y x))) #s(literal -2 binary64)))) (fma.f64 (/.f64 z t) (-.f64 y x) x))
(.f64 (-.f64 (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 z) t) (-.f64 y x) x) #s(literal -1 binary64)) (-.f64 (.f64 x x) (pow.f64 (/.f64 t (*.f64 z (-.f64 y x))) #s(literal -2 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -3 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -2 binary64))) (pow.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 y x) t) z)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 t (*.f64 z (-.f64 y x))) #s(literal -2 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 z) t) (-.f64 y x) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z t) (-.f64 y x) x))
(.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z) (.f64 x x)) (/.f64 (fma.f64 (/.f64 z t) (-.f64 y x) x) (fma.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z) (*.f64 x x))))
(.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z) (.f64 x x)) (.f64 (fma.f64 (/.f64 z t) (-.f64 y x) x) (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z) (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 z t) (-.f64 y x) x) (/.f64 (fma.f64 (/.f64 (neg.f64 z) t) (-.f64 y x) x) (fma.f64 (/.f64 (neg.f64 z) t) (-.f64 y x) x)))
(.f64 (fma.f64 (/.f64 z t) (-.f64 y x) x) (.f64 (fma.f64 (/.f64 (neg.f64 z) t) (-.f64 y x) x) (pow.f64 (fma.f64 (/.f64 (neg.f64 z) t) (-.f64 y x) x) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (-.f64 (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -2 binary64)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 z t) (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 z t) (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -4 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 z) t) (-.f64 y x) x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 t (*.f64 z (-.f64 y x))) #s(literal -2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -6 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 z) t) (-.f64 y x) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -2 binary64)) (fma.f64 x x (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -6 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z) (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 t (*.f64 z (-.f64 y x))) #s(literal -3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z) (.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -6 binary64))) (pow.f64 (.f64 (*.f64 x z) (/.f64 (-.f64 y x) t)) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 (neg.f64 z) t) (-.f64 y x) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -2 binary64)) (fma.f64 (/.f64 (neg.f64 z) t) (-.f64 y x) x)) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (fma.f64 (/.f64 (neg.f64 z) t) (-.f64 y x) x)) (/.f64 (pow.f64 (/.f64 t (*.f64 z (-.f64 y x))) #s(literal -2 binary64)) (fma.f64 (/.f64 (neg.f64 z) t) (-.f64 y x) x))))
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(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 y x) (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(neg.f64 (neg.f64 (-.f64 y x)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (+.f64 y x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) x) (-.f64 (.f64 (+.f64 y x) x) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (.f64 x (-.f64 x y))) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (+.f64 y x) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1 binary64) y)
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)))
(+.f64 (.f64 y #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 (.f64 y (/.f64 y (+.f64 y x))) (neg.f64 (.f64 x (/.f64 x (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) t))
(*.f64 (pow.f64 (/.f64 t z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) t))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) z)
(*.f64 #s(literal 1 binary64) (/.f64 z t))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t))
(*.f64 (/.f64 z t) #s(literal 1 binary64))
(*.f64 z (pow.f64 t #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 t z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 t z) #s(literal -1 binary64))
(pow.f64 (/.f64 z t) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 t))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 t))
(/.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) t)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) z))
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t z))
(/.f64 (neg.f64 z) (neg.f64 t))
(/.f64 z t)
(neg.f64 (/.f64 (neg.f64 z) t))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (neg.f64 z) t))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) t))
(exp.f64 (*.f64 (log.f64 (/.f64 t z)) #s(literal -1 binary64)))

eval99.0ms (1.4%)

Memory: -24.8MiB live, 131.8MiB allocated
Compiler: Compiled 8 882 to 1 092 computations (87.7% saved)

prune39.0ms (0.5%)

Memory

28.7MiB live, 68.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	478	9	487
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	479	9	488

Accuracy

100.0%

Counts

488 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.3%	(fma.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 z (.f64 (+.f64 y x) t)) x)
▶	98.1%	(fma.f64 (/.f64 z t) (-.f64 y x) x)
	93.2%	(fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) (/.f64 #s(literal -1 binary64) t) x)
	23.5%	(/.f64 (+.f64 (pow.f64 (/.f64 t (.f64 z (-.f64 y x))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 (-.f64 y x) t) z (neg.f64 x)) (.f64 (/.f64 (-.f64 y x) t) z) (*.f64 x x)))
▶	98.1%	(+.f64 x (.f64 (fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (.f64 x (/.f64 x (+.f64 y x))))) (/.f64 z t)))
	77.0%	(+.f64 x #s(approx (* (- y x) (/ z t)) (*.f64 (/.f64 y t) z)))
▶	54.9%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))
	63.3%	#s(approx (+ x (* (- y x) (/ z t))) (-.f64 x (*.f64 (/.f64 x t) z)))
▶	39.4%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 y t) z))

Compiler

Compiled 240 to 182 computations (24.2% saved)

simplify167.0ms (2.3%)

Memory

3.8MiB live, 161.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) x (*.f64 y y))
cost-diff	1152	(fma.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 z (.f64 (+.f64 y x) t)) x)
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) (-.f64 y x) x)
cost-diff	0	(-.f64 y x)
cost-diff	0	(*.f64 (-.f64 y x) z)
cost-diff	0	(/.f64 (*.f64 (-.f64 y x) z) t)
cost-diff	0	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))
cost-diff	0	(/.f64 y t)
cost-diff	0	(*.f64 (/.f64 y t) z)
cost-diff	0	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 y t) z))
cost-diff	0	(/.f64 y (+.f64 y x))
cost-diff	0	(.f64 (fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (.f64 x (/.f64 x (+.f64 y x))))) (/.f64 z t))
cost-diff	128	(+.f64 x (.f64 (fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (.f64 x (/.f64 x (+.f64 y x))))) (/.f64 z t)))
cost-diff	2432	(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))

Rules

10 068×	`lower-fma.f32`
10 060×	`lower-fma.f64`
3 596×	`lower-*.f32`
3 584×	`lower-*.f64`
1 738×	`lower-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	217
0	55	269
1	95	269
2	178	234
3	435	234
4	1021	189
5	2201	170
6	4839	170
0	8067	170

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (1.2%)

Memory

-0.7MiB live, 196.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 (+.f64 y x) t)
accuracy	2.499972476055602	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	5.502864535795429	(/.f64 z (*.f64 (+.f64 y x) t))
accuracy	16.984759176624586	(fma.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 z (.f64 (+.f64 y x) t)) x)
accuracy	0	(/.f64 z t)
accuracy	0	(-.f64 y x)
accuracy	1.2174722803637041	(fma.f64 (/.f64 z t) (-.f64 y x) x)
accuracy	0	(-.f64 y x)
accuracy	0.01171875	(*.f64 (-.f64 y x) z)
accuracy	4.649180653730708	(/.f64 (*.f64 (-.f64 y x) z) t)
accuracy	25.223580148612704	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))
accuracy	0	(/.f64 y t)
accuracy	5.131001578485567	(*.f64 (/.f64 y t) z)
accuracy	37.1416121905063	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 y t) z))
accuracy	0.0078125	(/.f64 y (+.f64 y x))
accuracy	0.015625	(/.f64 x (+.f64 y x))
accuracy	0.0625	(*.f64 x (/.f64 x (+.f64 y x)))
accuracy	4.4425306209529065	(.f64 (fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (.f64 x (/.f64 x (+.f64 y x))))) (/.f64 z t))

Samples

65.0ms

256×

valid

Compiler

Compiled 212 to 33 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 15.0ms (35% of total)

ival-mult: 15.0ms (35% of total)

ival-add: 10.0ms (23.3% of total)

ival-neg: 2.0ms (4.7% of total)

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

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

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

series85.0ms (1.2%)

Memory

-9.2MiB live, 186.1MiB allocated

Counts

21 → 708

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (+ x (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t))) (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t)) (/ y (+ y x)) (+ x (* (- y x) (/ z t))) (* (/ y t) z) (/ y t) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (- y x) (+ (* (/ z t) (- y x)) x) (/ z t) (+ (* (+ (* (neg x) x) (* y y)) (/ z (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (* x (/ x (+ y x))) (/ x (+ y x)) (/ z (* (+ y x) t)) (* (+ y x) t))
8.0ms	z	@	-inf	((+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (+ x (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t))) (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t)) (/ y (+ y x)) (+ x (* (- y x) (/ z t))) (* (/ y t) z) (/ y t) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (- y x) (+ (* (/ z t) (- y x)) x) (/ z t) (+ (* (+ (* (neg x) x) (* y y)) (/ z (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (* x (/ x (+ y x))) (/ x (+ y x)) (/ z (* (+ y x) t)) (* (+ y x) t))
7.0ms	t	@	-inf	((+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (+ x (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t))) (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t)) (/ y (+ y x)) (+ x (* (- y x) (/ z t))) (* (/ y t) z) (/ y t) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (- y x) (+ (* (/ z t) (- y x)) x) (/ z t) (+ (* (+ (* (neg x) x) (* y y)) (/ z (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (* x (/ x (+ y x))) (/ x (+ y x)) (/ z (* (+ y x) t)) (* (+ y x) t))
6.0ms	t	@	inf	((+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (+ x (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t))) (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t)) (/ y (+ y x)) (+ x (* (- y x) (/ z t))) (* (/ y t) z) (/ y t) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (- y x) (+ (* (/ z t) (- y x)) x) (/ z t) (+ (* (+ (* (neg x) x) (* y y)) (/ z (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (* x (/ x (+ y x))) (/ x (+ y x)) (/ z (* (+ y x) t)) (* (+ y x) t))
5.0ms	t	@	0	((+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (+ x (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t))) (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t)) (/ y (+ y x)) (+ x (* (- y x) (/ z t))) (* (/ y t) z) (/ y t) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (- y x) (+ (* (/ z t) (- y x)) x) (/ z t) (+ (* (+ (* (neg x) x) (* y y)) (/ z (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (* x (/ x (+ y x))) (/ x (+ y x)) (/ z (* (+ y x) t)) (* (+ y x) t))

simplify173.0ms (2.4%)

Memory

22.0MiB live, 184.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 316×	`lower-fma.f64`
7 316×	`lower-fma.f32`
4 344×	`lower-*.f64`
4 344×	`lower-*.f32`
2 022×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	591	6991
1	1949	6739
2	5989	6425
0	8335	6254

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 684

Calls

Call 1

Inputs
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
(/ (+ (* t x) (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y))))) t)
(/ (+ (* t x) (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y))))) t)
(/ (+ (* t x) (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y))))) t)
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
(/ (* z (- y x)) t)
(/ (+ (* t x) (* z (- y x))) t)
(/ (+ (* t x) (* z (- y x))) t)
(/ (+ (* t x) (* z (- y x))) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ (* z (- y x)) t)
(/ (+ (* t x) (* z (- y x))) t)
(/ (+ (* t x) (* z (- y x))) t)
(/ (+ (* t x) (* z (- y x))) t)
(/ (* z (- y x)) t)
(/ (* z (- y x)) t)
(/ (* z (- y x)) t)
(/ (* z (- y x)) t)
(/ (* z (- y x)) t)
(/ (+ (* t x) (* z (- y x))) t)
(/ (+ (* t x) (* z (- y x))) t)
(/ (+ (* t x) (* z (- y x))) t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y)))
(/ (+ (* t x) (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) t)
(/ (+ (* t x) (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) t)
(/ (+ (* t x) (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) t)
(/ z (* t (+ x y)))
(/ z (* t (+ x y)))
(/ z (* t (+ x y)))
(/ z (* t (+ x y)))
(* t (+ x y))
(* t (+ x y))
(* t (+ x y))
(* t (+ x y))
x
(+ x (/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t))
(+ x (/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t))
(+ x (/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t))
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
x
(+ x (/ (* z (- y x)) t))
(+ x (/ (* z (- y x)) t))
(+ x (/ (* z (- y x)) t))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
x
(+ x (/ (* z (- y x)) t))
(+ x (/ (* z (- y x)) t))
(+ x (/ (* z (- y x)) t))
(/ (* z (- y x)) t)
(/ (* z (- y x)) t)
(/ (* z (- y x)) t)
(/ (* z (- y x)) t)
x
(+ x (/ (* z (- y x)) t))
(+ x (/ (* z (- y x)) t))
(+ x (/ (* z (- y x)) t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
x
(+ x (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y))))
(+ x (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y))))
(+ x (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y))))
(/ z (* t (+ x y)))
(/ z (* t (+ x y)))
(/ z (* t (+ x y)))
(/ z (* t (+ x y)))
(* t (+ x y))
(* t (+ x y))
(* t (+ x y))
(* t (+ x y))
x
(+ x (/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t))
(+ x (/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t))
(+ x (/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t))
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
x
(+ x (/ (* z (- y x)) t))
(+ x (/ (* z (- y x)) t))
(+ x (/ (* z (- y x)) t))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
x
(+ x (/ (* z (- y x)) t))
(+ x (/ (* z (- y x)) t))
(+ x (/ (* z (- y x)) t))
(/ (* z (- y x)) t)
(/ (* z (- y x)) t)
(/ (* z (- y x)) t)
(/ (* z (- y x)) t)
x
(+ x (/ (* z (- y x)) t))
(+ x (/ (* z (- y x)) t))
(+ x (/ (* z (- y x)) t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
x
(+ x (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y))))
(+ x (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y))))
(+ x (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y))))
(/ z (* t (+ x y)))
(/ z (* t (+ x y)))
(/ z (* t (+ x y)))
(/ z (* t (+ x y)))
(* t (+ x y))
(* t (+ x y))
(* t (+ x y))
(* t (+ x y))
x
(+ x (* z (- (/ (pow y 2) (* t (+ x y))) (/ (pow x 2) (* t (+ x y))))))
(+ x (* z (- (/ (pow y 2) (* t (+ x y))) (/ (pow x 2) (* t (+ x y))))))
(+ x (* z (- (/ (pow y 2) (* t (+ x y))) (/ (pow x 2) (* t (+ x y))))))
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
(/ (* z (- (/ (pow y 2) (+ x y)) (/ (pow x 2) (+ x y)))) t)
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(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x)))))
(* -1 (/ (* x z) t))
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x))))
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x))))
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ (* y z) x)))
(* x (+ (* -1 z) (/ (* y z) x)))
(* x (+ (* -1 z) (/ (* y z) x)))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (+ 1 (* -1 (/ z t))))
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x)))))
(* x (+ 1 (* -1 (/ z t))))
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))
(* x (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ z (* t x))
(/ (+ (* -1 (/ (* y z) (* t x))) (/ z t)) x)
(/ (- (+ (/ z t) (/ (* (pow y 2) z) (* t (pow x 2)))) (/ (* y z) (* t x))) x)
(/ (- (+ (* -1 (/ (* (pow y 3) z) (* t (pow x 3)))) (/ z t)) (+ (* -1 (/ (* (pow y 2) z) (* t (pow x 2)))) (/ (* y z) (* t x)))) x)
(* t x)
(* x (+ t (/ (* t y) x)))
(* x (+ t (/ (* t y) x)))
(* x (+ t (/ (* t y) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)))))
(* -1 (* x (- (/ z t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1 (pow y 2)) (pow y 2))) (* t x))) (/ (* y z) t)) x)) (/ z t)) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1 (pow y 2)) (pow y 2))) (* t x))) (/ (* y z) t)) x)) (/ z t)) 1)))
(* -1 (/ (* x z) t))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1 (pow y 2)) (pow y 2))) (* t x))) (/ (* y z) t)) x)) (/ z t))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1 (pow y 2)) (pow y 2))) (* t x))) (/ (* y z) t)) x)) (/ z t))))
(/ y x)
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x))
(* -1 (* x (- (/ z t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(* -1 (* x (- (/ z t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(* -1 (/ (* x z) t))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t))))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t))))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t))))
(* -1 (* x z))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (- (/ z t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(* -1 (* x (- (/ z t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(/ z (* t x))
(* -1 (/ (+ (* -1 (/ z t)) (/ (* y z) (* t x))) x))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (/ (* (pow y 2) z) (* t x)) (/ (* y z) t)) x))) x))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) (* t x)) (/ (* (pow y 2) z) t)) x)) (/ (* y z) t)) x))) x))
(* t x)
(* -1 (* x (+ (* -1 t) (* -1 (/ (* t y) x)))))
(* -1 (* x (+ (* -1 t) (* -1 (/ (* t y) x)))))
(* -1 (* x (+ (* -1 t) (* -1 (/ (* t y) x)))))

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

rewrite230.0ms (3.2%)

Memory

-12.7MiB live, 300.9MiB allocated

Rules

5 038×	`lower-/.f32`
5 026×	`lower-/.f64`
4 492×	`lower-*.f32`
4 480×	`lower-*.f64`
3 476×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	178
0	55	218
1	215	131
2	1843	131
0	8189	131

Stop Event

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

Counts

21 → 1 563

Calls

Call 1

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

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

eval786.0ms (10.8%)

Memory: 17.5MiB live, 557.0MiB allocated
Compiler: Compiled 65 243 to 5 298 computations (91.9% saved)

prune67.0ms (0.9%)

Memory

20.6MiB live, 217.2MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	2 562	9	2 571
Fresh	4	0	4
Picked	4	1	5
Done	0	0	0
Total	2 570	10	2 580

Accuracy

100.0%

Counts

2 580 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.7%	(fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x)
▶	76.5%	(+.f64 x #s(approx (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t)) (/.f64 (*.f64 y z) t)))
	38.7%	#s(approx (+ (* (/ z t) (- y x)) x) (/.f64 (*.f64 y z) t))
	25.5%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 #s(approx (- y x) (neg.f64 x)) z) t))
▶	39.4%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 z (/.f64 t y)))
▶	58.7%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))
✓	39.4%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 y t) z))
▶	41.9%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 y (/.f64 z t)))
	49.4%	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 z t) (/.f64 z t)) y)))
▶	26.2%	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 z) (/.f64 x t))))

Compiler

Compiled 152 to 155 computations (-2% saved)

simplify174.0ms (2.4%)

Memory

-40.7MiB live, 109.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

4 794×	`lower-fma.f64`
4 794×	`lower-fma.f32`
3 004×	`lower-*.f32`
2 996×	`lower-*.f64`
1 648×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	204
0	49	202
1	86	202
2	149	202
3	302	202
4	673	196
5	1424	194
6	2783	194
7	4522	194
8	6212	194
9	6686	194
10	6774	194
11	6800	194
12	6816	194
13	7009	194
14	7754	194
0	8038	190

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (1.1%)

Memory

7.9MiB live, 166.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 t y)
accuracy	5.409534967151846	(/.f64 z (/.f64 t y))
accuracy	37.1416121905063	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 z (/.f64 t y)))
accuracy	0	(/.f64 z t)
accuracy	0	(-.f64 y x)
accuracy	4.4425306209529065	(*.f64 (/.f64 z t) (-.f64 y x))
accuracy	25.223580148612704	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))
accuracy	0	(neg.f64 z)
accuracy	4.473767174091885	(*.f64 (neg.f64 z) (/.f64 x t))
accuracy	25.223580148612704	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 z) (/.f64 x t))))
accuracy	26.380205965659925	#s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 z) (/.f64 x t)))
accuracy	0	(/.f64 z t)
accuracy	4.337190472545929	(*.f64 y (/.f64 z t))
accuracy	37.1416121905063	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 y (/.f64 z t)))
accuracy	0	(+.f64 x #s(approx (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t)) (/.f64 (*.f64 y z) t)))
accuracy	0	(*.f64 y z)
accuracy	3.960745197008619	(/.f64 (*.f64 y z) t)
accuracy	25.59605464089412	#s(approx (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t)) (/.f64 (*.f64 y z) t))

Samples

61.0ms

256×

valid

Compiler

Compiled 152 to 30 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 16.0ms (42.7% of total)

ival-mult: 12.0ms (32% of total)

ival-add: 4.0ms (10.7% of total)

ival-neg: 3.0ms (8% of total)

ival-sub: 1.0ms (2.7% of total)

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

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

series47.0ms (0.6%)

Memory

-6.4MiB live, 112.8MiB allocated

Counts

17 → 636

Calls

Call 1

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

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

Calls

12 calls:

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

simplify113.0ms (1.6%)

Memory

-11.1MiB live, 186.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 908×	`lower-fma.f64`
6 908×	`lower-fma.f32`
2 906×	`lower-*.f64`
2 906×	`lower-*.f32`
982×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	4545
1	538	4530
2	1936	4530
3	6754	4530
0	8218	4350

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 618

Calls

Call 1

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

rewrite182.0ms (2.5%)

Memory

42.9MiB live, 268.9MiB allocated

Rules

5 528×	`lower-/.f32`
5 518×	`lower-/.f64`
4 878×	`lower-fma.f64`
4 878×	`lower-fma.f32`
3 910×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	181
0	49	179
1	176	155
2	1303	155
0	8260	151

Stop Event

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

Counts

17 → 1 009

Calls

Call 1

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

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

eval213.0ms (2.9%)

Memory: -10.7MiB live, 336.6MiB allocated
Compiler: Compiled 30 254 to 3 472 computations (88.5% saved)

prune75.0ms (1%)

Memory

-27.6MiB live, 189.1MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1 681	2	1 683
Fresh	1	3	4
Picked	0	5	5
Done	0	1	1
Total	1 682	11	1 693

Accuracy

100.0%

Counts

1 693 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x)
✓	76.5%	(+.f64 x #s(approx (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t)) (/.f64 (*.f64 y z) t)))
▶	38.7%	#s(approx (+ (* (/ z t) (- y x)) x) (/.f64 (*.f64 y z) t))
▶	25.5%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 #s(approx (- y x) (neg.f64 x)) z) t))
✓	39.4%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 z (/.f64 t y)))
▶	58.6%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (*.f64 (-.f64 y x) #s(literal 1 binary64)))))
✓	58.7%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))
▶	27.4%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x))))
✓	39.4%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 y t) z))
✓	41.9%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 y (/.f64 z t)))
✓	26.2%	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 z) (/.f64 x t))))

Compiler

Compiled 126 to 134 computations (-6.3% saved)

simplify146.0ms (2%)

Memory

33.0MiB live, 71.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (*.f64 (-.f64 y x) #s(literal 1 binary64)))))
cost-diff	320	(*.f64 (-.f64 y x) #s(literal 1 binary64))
cost-diff	384	(/.f64 (/.f64 t z) (*.f64 (-.f64 y x) #s(literal 1 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (*.f64 (-.f64 y x) #s(literal 1 binary64))))
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(*.f64 #s(approx (- y x) (neg.f64 x)) z)
cost-diff	0	(/.f64 (*.f64 #s(approx (- y x) (neg.f64 x)) z) t)
cost-diff	0	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 #s(approx (- y x) (neg.f64 x)) z) t))
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(/.f64 z t)
cost-diff	0	(*.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)))
cost-diff	0	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x))))
cost-diff	0	(*.f64 y z)
cost-diff	0	(/.f64 (*.f64 y z) t)
cost-diff	0	#s(approx (+ (* (/ z t) (- y x)) x) (/.f64 (*.f64 y z) t))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x)

Rules

1 760×	`lower-fma.f32`
1 758×	`lower-fma.f64`
944×	`lower-*.f32`
936×	`lower-*.f64`
794×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	201
0	43	193
1	71	189
2	130	189
3	281	189
4	531	189
5	722	189
6	1021	189
7	1533	189
8	2164	189
9	3405	189
10	4114	189
11	4364	189
12	4384	189
13	4391	189
14	4391	189
15	4495	189
16	4537	189
17	4537	189
18	4537	189
0	4537	185

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (1.1%)

Memory

3.5MiB live, 116.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (-.f64 y x) #s(literal 1 binary64))
accuracy	0.179971373879732	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (*.f64 (-.f64 y x) #s(literal 1 binary64))))
accuracy	4.791964365539756	(/.f64 (/.f64 t z) (*.f64 (-.f64 y x) #s(literal 1 binary64)))
accuracy	25.223580148612704	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (*.f64 (-.f64 y x) #s(literal 1 binary64)))))
accuracy	0.01171875	(*.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	4.649180653730708	(/.f64 (*.f64 #s(approx (- y x) (neg.f64 x)) z) t)
accuracy	25.223580148612704	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 #s(approx (- y x) (neg.f64 x)) z) t))
accuracy	31.58720732281349	#s(approx (- y x) (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	4.4425306209529065	(*.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)))
accuracy	25.223580148612704	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x))))
accuracy	31.58720732281349	#s(approx (- y x) (neg.f64 x))
accuracy	0	(*.f64 y z)
accuracy	3.960745197008619	(/.f64 (*.f64 y z) t)
accuracy	37.1416121905063	#s(approx (+ (* (/ z t) (- y x)) x) (/.f64 (*.f64 y z) t))
accuracy	0	(/.f64 z t)
accuracy	0	(neg.f64 x)
accuracy	1.2174722803637041	(fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x)
accuracy	31.58720732281349	#s(approx (- y x) (neg.f64 x))

Samples

58.0ms

256×

valid

Compiler

Compiled 143 to 22 computations (84.6% saved)

Precisions

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

ival-mult: 17.0ms (53.8% of total)

ival-div: 10.0ms (31.6% of total)

ival-add: 2.0ms (6.3% of total)

ival-sub: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series40.0ms (0.6%)

Memory

-11.5MiB live, 65.2MiB allocated

Counts

16 → 612

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (neg x) (+ (* (/ z t) (- y x)) x) (/ (* y z) t) (* y z) (+ x (* (- y x) (/ z t))) (* (/ z t) (- y x)) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (/ 1 (/ (/ t z) (* (- y x) 1))) (/ (/ t z) (* (- y x) 1)) (* (- y x) 1) (+ x (* (- y x) (/ z t))))
2.0ms	z	@	-inf	((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (neg x) (+ (* (/ z t) (- y x)) x) (/ (* y z) t) (* y z) (+ x (* (- y x) (/ z t))) (* (/ z t) (- y x)) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (/ 1 (/ (/ t z) (* (- y x) 1))) (/ (/ t z) (* (- y x) 1)) (* (- y x) 1) (+ x (* (- y x) (/ z t))))
2.0ms	y	@	-inf	((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (neg x) (+ (* (/ z t) (- y x)) x) (/ (* y z) t) (* y z) (+ x (* (- y x) (/ z t))) (* (/ z t) (- y x)) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (/ 1 (/ (/ t z) (* (- y x) 1))) (/ (/ t z) (* (- y x) 1)) (* (- y x) 1) (+ x (* (- y x) (/ z t))))
2.0ms	t	@	-inf	((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (neg x) (+ (* (/ z t) (- y x)) x) (/ (* y z) t) (* y z) (+ x (* (- y x) (/ z t))) (* (/ z t) (- y x)) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (/ 1 (/ (/ t z) (* (- y x) 1))) (/ (/ t z) (* (- y x) 1)) (* (- y x) 1) (+ x (* (- y x) (/ z t))))
1.0ms	t	@	0	((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (neg x) (+ (* (/ z t) (- y x)) x) (/ (* y z) t) (* y z) (+ x (* (- y x) (/ z t))) (* (/ z t) (- y x)) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (/ 1 (/ (/ t z) (* (- y x) 1))) (/ (/ t z) (* (- y x) 1)) (* (- y x) 1) (+ x (* (- y x) (/ z t))))

simplify278.0ms (3.8%)

Memory

2.9MiB live, 206.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 944×	`lower-fma.f64`
9 944×	`lower-fma.f32`
4 990×	`lower-*.f64`
4 990×	`lower-*.f32`
3 834×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	5233
1	810	5066
2	2730	4807
3	7926	4807
0	8498	4639

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 591

Calls

Call 1

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

rewrite190.0ms (2.6%)

Memory

18.4MiB live, 211.9MiB allocated

Rules

7 968×	`lower-fma.f32`
7 966×	`lower-fma.f64`
4 368×	`lower-*.f32`
4 360×	`lower-*.f64`
4 252×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	159
0	43	147
1	155	147
2	1080	147
0	8495	143

Stop Event

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

Counts

16 → 597

Calls

Call 1

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

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

eval200.0ms (2.7%)

Memory: 4.5MiB live, 277.1MiB allocated
Compiler: Compiled 17 815 to 2 199 computations (87.7% saved)

prune56.0ms (0.8%)

Memory

-23.8MiB live, 136.5MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	1 343	1	1 344
Fresh	0	0	0
Picked	1	4	5
Done	0	6	6
Total	1 344	11	1 355

Accuracy

100.0%

Counts

1 355 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.7%	(fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x)
✓	76.5%	(+.f64 x #s(approx (* (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t)) (/.f64 (*.f64 y z) t)))
✓	38.7%	#s(approx (+ (* (/ z t) (- y x)) x) (/.f64 (*.f64 y z) t))
✓	25.5%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 #s(approx (- y x) (neg.f64 x)) z) t))
✓	39.4%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 z (/.f64 t y)))
	56.9%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (-.f64 y x)) z)))
✓	58.7%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))
✓	27.4%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x))))
✓	39.4%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 y t) z))
✓	41.9%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 y (/.f64 z t)))
✓	26.2%	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 z) (/.f64 x t))))

Compiler

Compiled 314 to 179 computations (43% saved)

regimes46.0ms (0.6%)

Memory

19.3MiB live, 92.6MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 z t) (-.f64 y x) x)

Calls

6 calls:

10.0ms	x
9.0ms	t
7.0ms	y
7.0ms	z
6.0ms	(/.f64 z t)

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`t`
98.1%	1	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`
98.1%	1	`(/.f64 z t)`

Compiler

Compiled 16 to 29 computations (-81.3% saved)

regimes28.0ms (0.4%)

Memory

23.3MiB live, 61.9MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
4.0ms	y
4.0ms	z
4.0ms	x
4.0ms	t

Results

Accuracy	Segments	Branch
88.1%	3	`t`
88.7%	3	`x`
87.4%	3	`y`
86.6%	3	`z`
88.2%	3	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`
95.7%	3	`(/.f64 z t)`

Compiler

Compiled 16 to 29 computations (-81.3% saved)

regimes100.0ms (1.4%)

Memory

-51.6MiB live, 15.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

99.0ms

(/.f64 z t)

Results

Accuracy	Segments	Branch
94.5%	3	`(/.f64 z t)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes19.0ms (0.3%)

Memory

-11.3MiB live, 27.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

5.0ms	y
3.0ms	t
3.0ms	x
3.0ms	(/.f64 z t)
3.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Results

Accuracy	Segments	Branch
78.7%	3	`y`
82.1%	3	`t`
76.9%	3	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`
76.0%	3	`x`
87.3%	3	`(/.f64 z t)`

Compiler

Compiled 15 to 25 computations (-66.7% saved)

regimes7.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	z
3.0ms	(/.f64 z t)

Results

Accuracy	Segments	Branch
77.6%	3	`z`
86.5%	3	`(/.f64 z t)`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes20.0ms (0.3%)

Memory

0.1MiB live, 37.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	z
3.0ms	t
3.0ms	y
3.0ms	x
3.0ms	(/.f64 z t)

Results

Accuracy	Segments	Branch
58.7%	1	`x`
58.7%	1	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`
58.7%	1	`z`
58.7%	1	`y`
58.7%	1	`t`
58.7%	1	`(/.f64 z t)`

Compiler

Compiled 16 to 29 computations (-81.3% saved)

regimes19.0ms (0.3%)

Memory

-5.4MiB live, 32.6MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

6.0ms	y
2.0ms	t
2.0ms	x
2.0ms	z
2.0ms	(/.f64 z t)

Results

Accuracy	Segments	Branch
50.3%	3	`y`
41.9%	1	`z`
41.9%	1	`t`
41.9%	1	`(/.f64 z t)`
43.5%	2	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`
51.5%	3	`x`

Compiler

Compiled 16 to 29 computations (-81.3% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
51.1%	3	`x`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes8.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Accuracy

Total -5.1b remaining (-13.6%)

Threshold costs -5.1b (-13.6%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	t
2.0ms	x
2.0ms	y
2.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Results

Accuracy	Segments	Branch
41.9%	1	`t`
41.9%	1	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`
41.9%	1	`y`
41.9%	1	`x`

Compiler

Compiled 12 to 20 computations (-66.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009504468383476995	47.1934888881497
0.0ms	-1.911004626010637e-14	-7.951455627645286e-30

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009504468383476995	47.1934888881497
0.0ms	-161.30309910511346	-0.0013138539369861243

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	47.1934888881497	2915.271441973328
0.0ms	-1.2146722395208694e-33	-1.6497151540303396e-34

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	47.1934888881497	2915.271441973328
0.0ms	-1.2146722395208694e-33	-1.6497151540303396e-34

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch28.0ms (0.4%)

Memory

-2.4MiB live, 39.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8724715312437785000.0	9.25755509316206e+24
14.0ms	-2.2688643258674958e+47	-8.112367344864218e+45

Samples

16.0ms

256×

valid

Compiler

Compiled 236 to 303 computations (-28.4% saved)

Precisions

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

ival-sub: 6.0ms (57.5% of total)

ival-div: 2.0ms (19.2% of total)

ival-add: 1.0ms (9.6% of total)

ival-mult: 1.0ms (9.6% of total)

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

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

bsearch12.0ms (0.2%)

Memory

-25.3MiB live, 12.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8724715312437785000.0	9.25755509316206e+24
10.0ms	-1.4352422228992884e+59	-7.353270898624093e+58

Samples

3.0ms

64×

valid

Compiler

Compiled 194 to 249 computations (-28.4% saved)

Precisions

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

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

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

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

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

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

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

simplify26.0ms (0.4%)

Memory

19.0MiB live, 58.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`-commutative-binary64-.f64`
18×	`+-commutative-binary64-+.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
10×	`neg-sub0-binary64--.f64-neg.f64`
10×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	435
1	100	435
2	114	435
3	122	435
4	126	435
5	127	435

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(if (<=.f64 (/.f64 z t) #s(literal -6338253001141147/633825300114114700748351602688 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 z t) (-.f64 y x))) (if (<=.f64 (/.f64 z t) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 x #s(approx ( (- y x) (/ z t)) (.f64 (/.f64 y t) z))) #s(approx (+ x ( (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))))
(if (<=.f64 (/.f64 z t) #s(literal -100 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 z t) (-.f64 y x))) (if (<=.f64 (/.f64 z t) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 x #s(approx ( (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t)) (/.f64 (.f64 y z) t))) #s(approx (+ x ( (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))))
(if (<=.f64 (/.f64 z t) #s(literal -1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 z t) (-.f64 y x))) (if (<=.f64 (/.f64 z t) #s(literal 50 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (-.f64 x (.f64 (/.f64 x t) z))) #s(approx (+ x ( (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))))
(if (<=.f64 (/.f64 z t) #s(literal -1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 z t) (-.f64 y x))) (if (<=.f64 (/.f64 z t) #s(literal 50 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (-.f64 x (.f64 (/.f64 x t) z))) #s(approx (+ x ( (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))))
#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))
(if (<=.f64 x #s(literal -29000000000000002082825832453276540242277433344 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)))) (if (<=.f64 x #s(literal 124999999999999997902848 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (.f64 y (/.f64 z t))) #s(approx (+ x ( (- y x) (/ z t))) (*.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x))))))
(if (<=.f64 x #s(literal -78000000000000002028796266377980473554736807928806869303296 binary64)) #s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (.f64 (neg.f64 z) (/.f64 x t)))) (if (<=.f64 x #s(literal 124999999999999997902848 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (.f64 y (/.f64 z t))) #s(approx (+ x ( (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 z) (/.f64 x t))))))
#s(approx (+ x (* (- y x) (/ z t))) (*.f64 y (/.f64 z t)))

Outputs
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(if (<=.f64 (/.f64 z t) #s(literal -6338253001141147/633825300114114700748351602688 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 z t) (-.f64 y x))) (if (<=.f64 (/.f64 z t) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 x #s(approx ( (- y x) (/ z t)) (.f64 (/.f64 y t) z))) #s(approx (+ x ( (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))))
(if (<=.f64 (/.f64 z t) #s(literal -6338253001141147/633825300114114700748351602688 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (-.f64 y x) (/.f64 z t))) (if (<=.f64 (/.f64 z t) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 #s(approx ( (- y x) (/ z t)) (.f64 (/.f64 y t) z)) x) #s(approx (+ x ( (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))))
(if (<=.f64 (/.f64 z t) #s(literal -100 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 z t) (-.f64 y x))) (if (<=.f64 (/.f64 z t) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 x #s(approx ( (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t)) (/.f64 (.f64 y z) t))) #s(approx (+ x ( (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))))
(if (<=.f64 (/.f64 z t) #s(literal -100 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (-.f64 y x) (/.f64 z t))) (if (<=.f64 (/.f64 z t) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 #s(approx ( (+ (* y (/ y (+ y x))) (neg (* x (/ x (+ y x))))) (/ z t)) (/.f64 (.f64 y z) t)) x) #s(approx (+ x ( (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))))
(if (<=.f64 (/.f64 z t) #s(literal -1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 z t) (-.f64 y x))) (if (<=.f64 (/.f64 z t) #s(literal 50 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (-.f64 x (.f64 (/.f64 x t) z))) #s(approx (+ x ( (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))))
(if (<=.f64 (/.f64 z t) #s(literal -1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (-.f64 y x) (/.f64 z t))) (if (<=.f64 (/.f64 z t) #s(literal 50 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (-.f64 x (.f64 (/.f64 x t) z))) #s(approx (+ x ( (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))))
(if (<=.f64 (/.f64 z t) #s(literal -1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 z t) (-.f64 y x))) (if (<=.f64 (/.f64 z t) #s(literal 50 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (-.f64 x (.f64 (/.f64 x t) z))) #s(approx (+ x ( (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))))
(if (<=.f64 (/.f64 z t) #s(literal -1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (-.f64 y x) (/.f64 z t))) (if (<=.f64 (/.f64 z t) #s(literal 50 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (-.f64 x (.f64 (/.f64 x t) z))) #s(approx (+ x ( (- y x) (/ z t))) (*.f64 (-.f64 y x) (/.f64 z t)))))
#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))
#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (-.f64 y x) (/.f64 z t)))
(if (<=.f64 x #s(literal -29000000000000002082825832453276540242277433344 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)))) (if (<=.f64 x #s(literal 124999999999999997902848 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (.f64 y (/.f64 z t))) #s(approx (+ x ( (- y x) (/ z t))) (*.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x))))))
(if (<=.f64 x #s(literal -29000000000000002082825832453276540242277433344 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 #s(approx (- y x) (neg.f64 x)) (/.f64 z t))) (if (<=.f64 x #s(literal 124999999999999997902848 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (.f64 y (/.f64 z t))) #s(approx (+ x ( (- y x) (/ z t))) (*.f64 #s(approx (- y x) (neg.f64 x)) (/.f64 z t)))))
(if (<=.f64 x #s(literal -78000000000000002028796266377980473554736807928806869303296 binary64)) #s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (.f64 (neg.f64 z) (/.f64 x t)))) (if (<=.f64 x #s(literal 124999999999999997902848 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (.f64 y (/.f64 z t))) #s(approx (+ x ( (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 z) (/.f64 x t))))))
(if (<=.f64 x #s(literal -78000000000000002028796266377980473554736807928806869303296 binary64)) #s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (.f64 (/.f64 (neg.f64 x) t) z))) (if (<=.f64 x #s(literal 124999999999999997902848 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (.f64 y (/.f64 z t))) #s(approx (+ x ( (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 (neg.f64 x) t) z)))))
#s(approx (+ x (* (- y x) (/ z t))) (*.f64 y (/.f64 z t)))

soundness1.3s (17.5%)

Memory

11.5MiB live, 763.4MiB allocated

Rules

10 362×	`lower-fma.f64`
10 362×	`lower-fma.f32`
7 316×	`lower-fma.f64`
7 316×	`lower-fma.f32`
6 908×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	591	6991
1	1949	6739
2	5989	6425
0	8335	6254
0	88	855
1	279	852
2	924	852
3	2969	852
4	5581	852
0	8062	816
0	8	22
0	12	22
1	49	22
2	399	22
3	5321	22
0	8340	21
0	162	4545
1	538	4530
2	1936	4530
3	6754	4530
0	8218	4350
0	31	178
0	55	218
1	215	131
2	1843	131
0	8189	131

Stop Event

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

Compiler

Compiled 452 to 280 computations (38.1% saved)

preprocess66.0ms (0.9%)

Memory: 10.1MiB live, 165.4MiB allocated
Compiler: Compiled 564 to 178 computations (68.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze81.0ms (1.1%)

sample1.3s (18.3%)

explain80.0ms (1.1%)

preprocess118.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify60.0ms (0.8%)

localize39.0ms (0.5%)

series17.0ms (0.2%)

simplify136.0ms (1.9%)

rewrite156.0ms (2.2%)

eval99.0ms (1.4%)

prune39.0ms (0.5%)

simplify167.0ms (2.3%)

localize86.0ms (1.2%)

series85.0ms (1.2%)

simplify173.0ms (2.4%)

rewrite230.0ms (3.2%)

eval786.0ms (10.8%)

prune67.0ms (0.9%)

simplify174.0ms (2.4%)

localize77.0ms (1.1%)

series47.0ms (0.6%)

simplify113.0ms (1.6%)

rewrite182.0ms (2.5%)

eval213.0ms (2.9%)

prune75.0ms (1%)

simplify146.0ms (2%)

localize77.0ms (1.1%)

series40.0ms (0.6%)

simplify278.0ms (3.8%)

rewrite190.0ms (2.6%)

eval200.0ms (2.7%)

prune56.0ms (0.8%)

regimes46.0ms (0.6%)

regimes28.0ms (0.4%)

regimes100.0ms (1.4%)

regimes19.0ms (0.3%)

regimes7.0ms (0.1%)

regimes20.0ms (0.3%)

regimes19.0ms (0.3%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch28.0ms (0.4%)

bsearch12.0ms (0.2%)

simplify26.0ms (0.4%)

soundness1.3s (17.5%)

preprocess66.0ms (0.9%)

end0.0ms (0%)

Profiling