Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze125.0ms (1.6%)

Memory

22.3MiB live, 140.7MiB 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 11 computations (0% saved)

sample1.2s (15.3%)

Memory

8.1MiB live, 994.0MiB allocated

Samples

904.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 550.0ms

ival-add: 241.0ms (43.8% of total)

ival-mult: 167.0ms (30.3% of total)

ival-sub: 69.0ms (12.5% of total)

ival-div: 59.0ms (10.7% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

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

Bogosity

explain154.0ms (2%)

Memory

10.1MiB live, 131.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
0	-	-	`(*.f64 t #s(literal 2 binary64))`
0	-	-	`(-.f64 (+.f64 x y) z)`
0	-	-	`t`
0	-	-	`z`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(+.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`	n/o	1	0
↳	`(*.f64 t #s(literal 2 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-add: 36.0ms (48.1% of total)

ival-mult: 32.0ms (42.8% of total)

ival-div: 4.0ms (5.3% of total)

ival-sub: 2.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess262.0ms (3.3%)

Memory

2.1MiB live, 159.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 832×	`lower-fma.f64`
2 832×	`lower-fma.f32`
1 518×	`sub-neg`
1 490×	`div-sub`
1 298×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	141
1	170	126
2	511	126
3	1660	126
4	5370	126
5	7727	126
0	9	9
0	13	9
1	24	9
2	48	9
3	83	9
4	166	9
5	301	9
6	587	9
7	1372	9
8	2733	9
9	4698	9
10	5064	9
11	5108	9
12	5116	9
13	5116	9
14	5508	9
15	5676	9
16	5676	9
17	5676	9
0	5676	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs t)

(sort x y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Compiler

Compiled 9 to 9 computations (0% saved)

simplify195.0ms (2.5%)

Memory

-22.6MiB live, 55.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2 832×	`lower-fma.f64`
2 832×	`lower-fma.f32`
1 490×	`div-sub`
1 104×	`lower-*.f32`
1 102×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	13	25
1	24	25
2	48	25
3	83	25
4	166	25
5	301	25
6	587	25
7	1372	25
8	2733	25
9	4698	25
10	5064	25
11	5108	25
12	5116	25
13	5116	25
14	5508	25
15	5676	25
16	5676	25
17	5676	25
0	5676	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.5%)

Memory

1.2MiB live, 40.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (+.f64 x y) z)
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 t #s(literal 2 binary64))
accuracy	0.25792506491403744	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 2.0ms (31.8% of total)

ival-mult: 2.0ms (31.8% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

4 → 120

Calls

Call 1

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

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

Calls

12 calls:

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

simplify584.0ms (7.5%)

Memory

-15.8MiB live, 222.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 612×	`lower-fma.f64`
7 612×	`lower-fma.f32`
3 776×	`lower-*.f64`
3 776×	`lower-*.f32`
2 500×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	650
1	314	650
2	876	650
3	2929	650
4	7535	650
0	8737	650

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 110

Calls

Call 1

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

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

rewrite235.0ms (3%)

Memory

30.6MiB live, 227.7MiB allocated

Rules

5 046×	`lower-*.f32`
5 044×	`lower-*.f64`
4 338×	`lower-/.f32`
4 336×	`lower-/.f64`
3 708×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
0	13	20
1	57	20
2	473	20
3	7793	20
0	8232	20

Stop Event

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

Counts

4 → 505

Calls

Call 1

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

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

eval206.0ms (2.6%)

Memory: -16.8MiB live, 175.5MiB allocated
Compiler: Compiled 13 143 to 1 485 computations (88.7% saved)

prune21.0ms (0.3%)

Memory

21.0MiB live, 66.6MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	605	10	615
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	606	10	616

Accuracy

100.0%

Counts

616 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
	98.8%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))
▶	65.7%	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
	71.5%	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
▶	71.6%	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
	36.3%	(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
▶	99.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
▶	35.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
	42.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
▶	36.1%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))

Compiler

Compiled 164 to 174 computations (-6.1% saved)

simplify135.0ms (1.7%)

Memory

-7.4MiB live, 107.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

5 072×	`lower-fma.f64`
5 072×	`lower-fma.f32`
1 454×	`div-sub`
1 292×	`lower-*.f32`
1 284×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	141
0	37	141
1	68	141
2	137	141
3	232	141
4	378	141
5	628	141
6	1229	141
7	2534	141
8	4240	141
9	5947	141
10	7584	141
11	7714	141
12	7764	141
13	7800	141
14	7988	141
0	8056	141

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.2%)

Memory

-15.9MiB live, 86.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y z)
accuracy	0	(*.f64 t #s(literal 2 binary64))
accuracy	0.25792506491403744	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
accuracy	23.979492688772442	#s(approx (- (+ x y) z) (-.f64 y z))
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 t #s(literal 2 binary64))
accuracy	0.25792506491403744	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
accuracy	20.17816936624369	#s(approx (- (+ x y) z) (+.f64 y x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0.20703125	(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
accuracy	41.505766060562955	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
accuracy	0	(/.f64 #s(literal -1/2 binary64) t)
accuracy	0.2578125	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
accuracy	40.78717967836734	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0	(-.f64 (+.f64 y x) z)
accuracy	0	(+.f64 y x)
accuracy	0.2578125	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))

Samples

82.0ms

256×

valid

Compiler

Compiled 115 to 21 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 28.0ms (70.3% of total)

ival-div: 5.0ms (12.6% of total)

ival-sub: 3.0ms (7.5% of total)

ival-add: 2.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.4%)

Memory

-18.3MiB live, 53.3MiB allocated

Counts

15 → 480

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	t	@	inf	((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z))
3.0ms	t	@	0	((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z))
2.0ms	t	@	-inf	((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z))
1.0ms	z	@	inf	((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z))
1.0ms	z	@	-inf	((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z))

simplify162.0ms (2.1%)

Memory

-2.4MiB live, 240.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 812×	`lower-fma.f64`
7 812×	`lower-fma.f32`
3 662×	`lower-*.f64`
3 662×	`lower-*.f32`
2 306×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	2937
1	354	2937
2	998	2937
3	3173	2937
4	7305	2937
0	8442	2937

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 459

Calls

Call 1

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

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

rewrite200.0ms (2.6%)

Memory

37.9MiB live, 263.2MiB allocated

Rules

5 474×	`lower-fma.f64`
5 474×	`lower-fma.f32`
4 716×	`lower-*.f32`
4 708×	`lower-*.f64`
4 030×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	113
0	37	113
1	152	113
2	1053	113
0	8285	113

Stop Event

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

Counts

15 → 803

Calls

Call 1

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

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

eval216.0ms (2.8%)

Memory: -22.3MiB live, 454.3MiB allocated
Compiler: Compiled 20 475 to 2 295 computations (88.8% saved)

prune43.0ms (0.5%)

Memory

10.1MiB live, 170.0MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 379	3	1 382
Fresh	1	4	5
Picked	2	3	5
Done	0	0	0
Total	1 382	10	1 392

Accuracy

100.0%

Counts

1 392 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
▶	98.8%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))
✓	65.7%	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
	71.5%	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
✓	71.6%	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
▶	71.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
▶	35.1%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
▶	36.3%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
✓	35.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
▶	42.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))

Compiler

Compiled 138 to 146 computations (-5.8% saved)

simplify280.0ms (3.6%)

Memory

-11.1MiB live, 87.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (- (+ y x) z) (+.f64 y x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
cost-diff	0	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) z)
cost-diff	0	(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
cost-diff	0	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
cost-diff	0	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
cost-diff	0	(-.f64 y z)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
cost-diff	896	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))

Rules

2 976×	`lower-fma.f32`
2 974×	`lower-fma.f64`
1 500×	`div-sub`
1 248×	`lower-*.f32`
1 238×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	140
0	39	137
1	71	137
2	132	137
3	234	137
4	390	137
5	647	137
6	1241	137
7	2517	137
8	4249	137
9	5652	137
10	6442	137
11	6528	137
12	6565	137
13	6585	137
14	6818	137
15	6912	137
16	6996	137
17	7060	137
18	7060	137
19	7076	137
20	7096	137
21	7104	137
0	7104	137

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (1.1%)

Memory

22.2MiB live, 96.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0	(+.f64 y x)
accuracy	0.2578125	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
accuracy	20.17816936624369	#s(approx (- (+ y x) z) (+.f64 y x))
accuracy	0	(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	41.505766060562955	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
accuracy	0	(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
accuracy	0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	40.78717967836734	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0.2109375	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
accuracy	37.035059136706785	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0	(-.f64 y z)
accuracy	0.2578125	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))
accuracy	0.5976507452111204	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))

Samples

66.0ms

256×

valid

Compiler

Compiled 117 to 25 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 35.0ms (68.5% of total)

ival-mult: 9.0ms (17.6% of total)

ival-sub: 4.0ms (7.8% of total)

ival-add: 3.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.7%)

Memory

7.9MiB live, 84.2MiB allocated

Counts

15 → 468

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	t	@	0	((+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (/ 1/2 t) (* (/ 1/2 t) (- y z)) (- y z) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* y 1/2) t) (* y 1/2) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (+ y x))
4.0ms	z	@	0	((+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (/ 1/2 t) (* (/ 1/2 t) (- y z)) (- y z) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* y 1/2) t) (* y 1/2) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (+ y x))
3.0ms	y	@	0	((+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (/ 1/2 t) (* (/ 1/2 t) (- y z)) (- y z) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* y 1/2) t) (* y 1/2) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (+ y x))
2.0ms	t	@	inf	((+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (/ 1/2 t) (* (/ 1/2 t) (- y z)) (- y z) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* y 1/2) t) (* y 1/2) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (+ y x))
2.0ms	t	@	-inf	((+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (/ 1/2 t) (* (/ 1/2 t) (- y z)) (- y z) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* y 1/2) t) (* y 1/2) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (+ y x))

simplify155.0ms (2%)

Memory

-2.4MiB live, 145.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 998×	`lower-fma.f64`
8 998×	`lower-fma.f32`
4 594×	`lower-*.f64`
4 594×	`lower-*.f32`
1 412×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	3057
1	538	3057
2	1523	3035
3	5124	3029
0	8326	3020

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 455

Calls

Call 1

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

rewrite227.0ms (2.9%)

Memory

0.9MiB live, 289.1MiB allocated

Rules

4 984×	`lower-/.f32`
4 978×	`lower-/.f64`
4 226×	`lower-*.f32`
4 216×	`lower-*.f64`
3 366×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	116
0	39	113
1	162	113
2	1259	113
0	8210	113

Stop Event

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

Counts

15 → 944

Calls

Call 1

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

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

eval305.0ms (3.9%)

Memory: 12.3MiB live, 392.5MiB allocated
Compiler: Compiled 28 503 to 2 942 computations (89.7% saved)

prune40.0ms (0.5%)

Memory

-13.0MiB live, 110.7MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 489	3	1 492
Fresh	0	2	2
Picked	1	4	5
Done	0	3	3
Total	1 490	12	1 502

Accuracy

100.0%

Counts

1 502 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
▶	71.5%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))))
▶	70.1%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))
✓	65.7%	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
▶	71.5%	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
✓	71.6%	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
✓	71.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
✓	35.1%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
▶	42.1%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t))
✓	36.3%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
✓	35.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
✓	42.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))

Compiler

Compiled 144 to 153 computations (-6.3% saved)

simplify199.0ms (2.5%)

Memory

25.1MiB live, 63.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 y t) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))))
cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
cost-diff	0	#s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))
cost-diff	0	(*.f64 t #s(literal 2 binary64))
cost-diff	0	(-.f64 x z)
cost-diff	0	#s(approx (- (+ x y) z) (-.f64 x z))
cost-diff	0	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (*.f64 x #s(literal 1/2 binary64)) t)
cost-diff	0	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t))
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
cost-diff	0	(-.f64 y z)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
cost-diff	896	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))

Rules

3 200×	`lower-fma.f32`
3 194×	`lower-fma.f64`
1 312×	`lower-*.f32`
1 302×	`lower-*.f64`
1 256×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	179
0	48	176
1	80	176
2	134	176
3	247	176
4	415	176
5	724	176
6	1532	176
7	3085	176
8	4599	176
9	5245	176
10	5738	176
11	5842	176
12	5930	176
13	5954	176
14	6130	176
15	6288	176
16	6312	176
17	6312	176
18	6312	176
0	6312	176

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize94.0ms (1.2%)

Memory

-32.8MiB live, 100.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0.0078125	(*.f64 (/.f64 y t) #s(literal 1/2 binary64))
accuracy	0.5976507452111204	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))))
accuracy	29.86246520283506	#s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 #s(literal -1/2 binary64) t)
accuracy	0.2578125	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
accuracy	0.5976507452111204	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))
accuracy	28.921209777275124	#s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
accuracy	0	(-.f64 x z)
accuracy	0	(*.f64 t #s(literal 2 binary64))
accuracy	0.25792506491403744	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
accuracy	20.10477756086167	#s(approx (- (+ x y) z) (-.f64 x z))
accuracy	0	(/.f64 (*.f64 x #s(literal 1/2 binary64)) t)
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	37.035059136706785	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0	(-.f64 y z)
accuracy	0.2109375	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
accuracy	1.429673738027801	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))

Samples

74.0ms

256×

valid

Compiler

Compiled 146 to 26 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 15.0ms (48.7% of total)

ival-div: 9.0ms (29.2% of total)

ival-sub: 4.0ms (13% of total)

ival-add: 3.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.5%)

Memory

17.7MiB live, 54.8MiB allocated

Counts

18 → 540

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((+ (* (/ 1/2 t) (- y z)) (* (/ 1/2 t) x)) (/ 1/2 t) (- y z) (* (/ 1/2 t) x) (/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2) (+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (* (/ 1/2 t) (- y z)) (* (/ -1/2 t) z) (+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (* (/ 1/2 t) (- y z)) (* (/ y t) 1/2) (/ -1/2 t))
2.0ms	t	@	0	((+ (* (/ 1/2 t) (- y z)) (* (/ 1/2 t) x)) (/ 1/2 t) (- y z) (* (/ 1/2 t) x) (/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2) (+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (* (/ 1/2 t) (- y z)) (* (/ -1/2 t) z) (+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (* (/ 1/2 t) (- y z)) (* (/ y t) 1/2) (/ -1/2 t))
2.0ms	t	@	inf	((+ (* (/ 1/2 t) (- y z)) (* (/ 1/2 t) x)) (/ 1/2 t) (- y z) (* (/ 1/2 t) x) (/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2) (+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (* (/ 1/2 t) (- y z)) (* (/ -1/2 t) z) (+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (* (/ 1/2 t) (- y z)) (* (/ y t) 1/2) (/ -1/2 t))
2.0ms	t	@	-inf	((+ (* (/ 1/2 t) (- y z)) (* (/ 1/2 t) x)) (/ 1/2 t) (- y z) (* (/ 1/2 t) x) (/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2) (+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (* (/ 1/2 t) (- y z)) (* (/ -1/2 t) z) (+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (* (/ 1/2 t) (- y z)) (* (/ y t) 1/2) (/ -1/2 t))
1.0ms	x	@	inf	((+ (* (/ 1/2 t) (- y z)) (* (/ 1/2 t) x)) (/ 1/2 t) (- y z) (* (/ 1/2 t) x) (/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2) (+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (* (/ 1/2 t) (- y z)) (* (/ -1/2 t) z) (+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (* (/ 1/2 t) (- y z)) (* (/ y t) 1/2) (/ -1/2 t))

simplify136.0ms (1.7%)

Memory

-3.7MiB live, 195.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 480×	`lower-fma.f64`
8 480×	`lower-fma.f32`
4 572×	`lower-*.f64`
4 572×	`lower-*.f32`
1 388×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	3466
1	546	3466
2	1562	3440
3	5084	3440
0	8272	3428

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 530

Calls

Call 1

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

rewrite331.0ms (4.2%)

Memory

-5.5MiB live, 230.1MiB allocated

Rules

5 050×	`lower-*.f32`
5 040×	`lower-*.f64`
4 744×	`lower-/.f32`
4 734×	`lower-/.f64`
3 136×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	149
0	48	146
1	188	146
2	1508	146
0	8167	146

Stop Event

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

Counts

18 → 826

Calls

Call 1

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

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

eval205.0ms (2.6%)

Memory: 25.3MiB live, 292.3MiB allocated
Compiler: Compiled 28 764 to 2 667 computations (90.7% saved)

prune40.0ms (0.5%)

Memory

-7.4MiB live, 104.8MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	1 436	1	1 437
Fresh	0	0	0
Picked	1	4	5
Done	0	7	7
Total	1 437	12	1 449

Accuracy

100.0%

Counts

1 449 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.5%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- y z) (neg.f64 z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
✓	71.5%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))))
✓	70.1%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))
✓	65.7%	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
✓	71.5%	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
✓	71.6%	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
✓	71.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
✓	35.1%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
✓	42.1%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t))
✓	36.3%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
✓	35.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
✓	42.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))

Compiler

Compiled 247 to 162 computations (34.4% saved)

regimes72.0ms (0.9%)

Memory

-3.7MiB live, 82.5MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

8 calls:

25.0ms	z
11.0ms	(+.f64 x y)
6.0ms	(*.f64 t #s(literal 2 binary64))
6.0ms	y
6.0ms	t

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`
99.6%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
99.6%	1	`(-.f64 (+.f64 x y) z)`
99.6%	1	`(+.f64 x y)`
99.6%	1	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 24 to 42 computations (-75% saved)

regimes56.0ms (0.7%)

Memory

-13.5MiB live, 62.8MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

8 calls:

23.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
4.0ms	t
4.0ms	(*.f64 t #s(literal 2 binary64))
4.0ms	(-.f64 (+.f64 x y) z)
4.0ms	x

Results

Accuracy	Segments	Branch
91.8%	3	`x`
93.9%	2	`y`
91.6%	3	`z`
79.3%	4	`t`
97.8%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
97.8%	2	`(-.f64 (+.f64 x y) z)`
98.0%	2	`(+.f64 x y)`
79.3%	4	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 24 to 42 computations (-75% saved)

regimes20.0ms (0.3%)

Memory

38.4MiB live, 38.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
79.1%	3	`x`
90.1%	2	`y`
88.6%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
87.2%	2	`(-.f64 (+.f64 x y) z)`
90.0%	2	`(+.f64 x y)`

Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes24.0ms (0.3%)

Memory

-9.5MiB live, 33.3MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

9.0ms	y
4.0ms	(-.f64 (+.f64 x y) z)
4.0ms	(+.f64 x y)
4.0ms	z
3.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
71.7%	1	`(-.f64 (+.f64 x y) z)`
71.7%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
82.2%	3	`(+.f64 x y)`
83.8%	3	`z`
71.7%	1	`y`

Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes10.0ms (0.1%)

Memory

-23.6MiB live, 12.0MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

6.0ms	(+.f64 x y)
3.0ms	z

Results

Accuracy	Segments	Branch
81.0%	3	`(+.f64 x y)`
63.7%	5	`z`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
80.9%	3	`(+.f64 x y)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
80.8%	3	`(+.f64 x y)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes2.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
80.8%	3	`(+.f64 x y)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes13.0ms (0.2%)

Memory

-8.9MiB live, 29.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	t
2.0ms	(*.f64 t #s(literal 2 binary64))
2.0ms	y
2.0ms	x
2.0ms	(-.f64 (+.f64 x y) z)

Results

Accuracy	Segments	Branch
53.5%	2	`(-.f64 (+.f64 x y) z)`
49.4%	2	`y`
53.6%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
46.1%	3	`t`
46.1%	3	`(*.f64 t #s(literal 2 binary64))`
61.1%	3	`x`
61.2%	2	`(+.f64 x y)`

Compiler

Compiled 23 to 38 computations (-65.2% saved)

regimes11.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
36.1%	1	`t`
36.1%	1	`(*.f64 t #s(literal 2 binary64))`
36.1%	1	`y`
36.1%	1	`(-.f64 (+.f64 x y) z)`
36.1%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
36.1%	1	`z`
36.1%	1	`x`
36.1%	1	`(+.f64 x y)`

Compiler

Compiled 24 to 42 computations (-75% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8692915866010182e-174	-1.6331631809901854e-189

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch25.0ms (0.3%)

Memory

-27.0MiB live, 11.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.1167747739689724e+120	2.3459354922713133e+120

Samples

21.0ms

80×

valid

Compiler

Compiled 92 to 116 computations (-26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sub: 18.0ms (93.8% of total)

ival-div: 1.0ms (5.2% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.5%)

Memory

-16.5MiB live, 39.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.2773524400140414e+93	1.6386558738251674e+97
12.0ms	-5.613409775755116e+69	-7.012301440190272e+64

Samples

14.0ms

272×

valid

Compiler

Compiled 250 to 339 computations (-35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (29.9% of total)

ival-add: 2.0ms (29.9% of total)

ival-mult: 2.0ms (29.9% of total)

ival-sub: 1.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1167747739689724e+120	2.3459354922713133e+120
0.0ms	-1.1171867094784319e-36	-1.353206640912933e-47

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1167747739689724e+120	2.3459354922713133e+120
0.0ms	-1.1171867094784319e-36	-1.353206640912933e-47

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1167747739689724e+120	2.3459354922713133e+120
0.0ms	-1.1171867094784319e-36	-1.353206640912933e-47

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1167747739689724e+120	2.3459354922713133e+120
0.0ms	-1.1171867094784319e-36	-1.353206640912933e-47

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1171867094784319e-36	-1.353206640912933e-47

Compiler

Compiled 12 to 16 computations (-33.3% saved)

simplify26.0ms (0.3%)

Memory

19.5MiB live, 57.1MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary64-.f64`
10×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	401
1	83	401
2	90	401
3	92	401
4	93	401

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
(if (<=.f64 (+.f64 x y) #s(literal -4455508415646675/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 y #s(literal 1299999999999999945335776151736567641034185559490024313688180440776490092295796850767690314302930070805976983858829066240 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 t #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x))))
(if (<=.f64 z #s(literal -330000000000000004779179745081036862152925715804487450086770324013056 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 5500000000000000214953547155993019536688132345463333012787678969557967406843898972563002208813056 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t)) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t)) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))

Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 #s(literal 1/2 binary64) t))
(if (<=.f64 (+.f64 x y) #s(literal -4455508415646675/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal -4455508415646675/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 #s(literal 2 binary64) t)) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (.f64 #s(literal 2 binary64) t)))
(if (<=.f64 y #s(literal 1299999999999999945335776151736567641034185559490024313688180440776490092295796850767690314302930070805976983858829066240 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 t #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x))))
(if (<=.f64 y #s(literal 1299999999999999945335776151736567641034185559490024313688180440776490092295796850767690314302930070805976983858829066240 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 #s(literal 2 binary64) t)) (.f64 #s(approx (- (+ y x) z) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) t)))
(if (<=.f64 z #s(literal -330000000000000004779179745081036862152925715804487450086770324013056 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 5500000000000000214953547155993019536688132345463333012787678969557967406843898972563002208813056 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))))
(if (<=.f64 z #s(literal -330000000000000004779179745081036862152925715804487450086770324013056 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 5500000000000000214953547155993019536688132345463333012787678969557967406843898972563002208813056 binary64)) (.f64 #s(approx (- (+ y x) z) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t)) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t)) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t)) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 y (/.f64 #s(literal 1/2 binary64) t)))))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 x (/.f64 #s(literal 1/2 binary64) t))) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 y (/.f64 #s(literal 1/2 binary64) t)))))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 x (/.f64 #s(literal 1/2 binary64) t))) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 y (/.f64 #s(literal 1/2 binary64) t)))))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))
(if (<=.f64 (+.f64 x y) #s(literal -2993155353253689/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 x (/.f64 #s(literal 1/2 binary64) t))) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))

soundness1.2s (15.1%)

Memory

25.9MiB live, 729.3MiB allocated

Rules

7 812×	`lower-fma.f64`
7 812×	`lower-fma.f32`
7 612×	`lower-fma.f64`
7 612×	`lower-fma.f32`
5 474×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	650
1	314	650
2	876	650
3	2929	650
4	7535	650
0	8737	650
0	9	20
0	13	20
1	57	20
2	473	20
3	7793	20
0	8232	20
0	28	116
0	39	113
1	162	113
2	1259	113
0	8210	113
0	26	113
0	37	113
1	152	113
2	1053	113
0	8285	113
0	117	2937
1	354	2937
2	998	2937
3	3173	2937
4	7305	2937
0	8442	2937

Stop Event

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

Compiler

Compiled 461 to 313 computations (32.1% saved)

preprocess237.0ms (3%)

Memory

-17.9MiB live, 146.6MiB allocated

Remove

(sort x y)

(negabs t)

Compiler

Compiled 536 to 210 computations (60.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze125.0ms (1.6%)

sample1.2s (15.3%)

explain154.0ms (2%)

preprocess262.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify195.0ms (2.5%)

localize39.0ms (0.5%)

series12.0ms (0.1%)

simplify584.0ms (7.5%)

rewrite235.0ms (3%)

eval206.0ms (2.6%)

prune21.0ms (0.3%)

simplify135.0ms (1.7%)

localize95.0ms (1.2%)

series34.0ms (0.4%)

simplify162.0ms (2.1%)

rewrite200.0ms (2.6%)

eval216.0ms (2.8%)

prune43.0ms (0.5%)

simplify280.0ms (3.6%)

localize83.0ms (1.1%)

series56.0ms (0.7%)

simplify155.0ms (2%)

rewrite227.0ms (2.9%)

eval305.0ms (3.9%)

prune40.0ms (0.5%)

simplify199.0ms (2.5%)

localize94.0ms (1.2%)

series39.0ms (0.5%)

simplify136.0ms (1.7%)

rewrite331.0ms (4.2%)

eval205.0ms (2.6%)

prune40.0ms (0.5%)

regimes72.0ms (0.9%)

regimes56.0ms (0.7%)

regimes20.0ms (0.3%)

regimes24.0ms (0.3%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes13.0ms (0.2%)

regimes11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch25.0ms (0.3%)

bsearch35.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify26.0ms (0.3%)

soundness1.2s (15.1%)

preprocess237.0ms (3%)

end0.0ms (0%)

Profiling