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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze87.0ms (1%)

Memory

18.6MiB live, 175.5MiB 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 (14.1%)

Memory

8.3MiB live, 934.9MiB allocated

Samples

799.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 583.0ms

ival-div: 231.0ms (39.6% of total)

ival-mult: 169.0ms (29% of total)

ival-add: 129.0ms (22.1% of total)

ival-sub: 40.0ms (6.9% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.9% of total)

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

Bogosity

explain120.0ms (1.4%)

Memory

7.2MiB live, 43.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

76.0ms

512×

valid

Compiler

Compiled 67 to 31 computations (53.7% saved)

Precisions

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

ival-div: 3.0ms (23.6% of total)

ival-add: 3.0ms (23.6% of total)

ival-mult: 3.0ms (23.6% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess245.0ms (2.8%)

Memory

-16.8MiB live, 77.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 416×	`lower-fma.f64`
1 416×	`lower-fma.f32`
759×	`sub-neg`
745×	`div-sub`
649×	`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 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))

Symmetry

(negabs t)

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify185.0ms (2.1%)

Memory

-30.8MiB live, 82.6MiB 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

1 416×	`lower-fma.f64`
1 416×	`lower-fma.f32`
745×	`div-sub`
552×	`lower-*.f32`
551×	`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 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
(-.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)

localize21.0ms (0.2%)

Memory

31.6MiB live, 31.6MiB 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	0.015625	(/.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 (33.3% of total)

ival-sub: 1.0ms (16.7% of total)

ival-add: 1.0ms (16.7% of total)

ival-mult: 1.0ms (16.7% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (0.7%)

Memory

-13.0MiB live, 33.8MiB 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 (/ (- 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* -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 (* -1/2 (/ 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 (* 1/2 (/ (- (+ 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 (* 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 (* 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 (- 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 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 (+.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 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 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 (+.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 (+ 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 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 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 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 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 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>) () ())) ())
#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 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 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 (* 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 (* 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 (* 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>) () ())) ())

Calls

30 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(- (+ x y) z)
15.0ms	x	@	-inf	(+ x y)
1.0ms	z	@	inf	(/ (- (+ x y) z) (* t 2))
1.0ms	x	@	inf	(/ (- (+ x y) z) (* t 2))
1.0ms	y	@	0	(/ (- (+ x y) z) (* t 2))

simplify222.0ms (2.6%)

Memory

4.0MiB live, 198.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 806×	`lower-fma.f64`
3 806×	`lower-fma.f32`
1 888×	`lower-*.f64`
1 888×	`lower-*.f32`
1 250×	`lower--.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	728
1	314	728
2	876	728
3	2929	650
4	7509	650
0	8709	650

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 110

Calls

Call 1

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

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

rewrite505.0ms (5.8%)

Memory

-16.6MiB live, 266.4MiB allocated

Rules

2 523×	`lower-*.f32`
2 522×	`lower-*.f64`
2 169×	`lower-/.f32`
2 168×	`lower-/.f64`
1 854×	`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 (+.f64 (+.f64 z x) y) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t))) (fma.f64 (.f64 z z) z (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)))) (fma.f64 z (-.f64 z (+.f64 y x)) (*.f64 (+.f64 y x) (+.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 (+.f64 z x) y) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t))) (.f64 (+.f64 (+.f64 z x) y) (-.f64 (+.f64 y x) z))) (-.f64 (+.f64 y x) z))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 (neg.f64 z) z) z))) (.f64 (fma.f64 (+.f64 (+.f64 z x) y) z (.f64 (+.f64 y x) (+.f64 y x))) (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 (neg.f64 z) (+.f64 (+.f64 z x) y))))) (fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 (neg.f64 z) (+.f64 (+.f64 z x) y))))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 (neg.f64 z) z) z))) (fma.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (.f64 (+.f64 y x) (+.f64 y x))) (+.f64 y x) (.f64 (.f64 (.f64 z z) (.f64 (+.f64 (+.f64 z x) y) (+.f64 (+.f64 z x) y))) (.f64 (+.f64 (+.f64 z x) y) z)))) (fma.f64 (.f64 (+.f64 (+.f64 z x) y) z) (-.f64 (.f64 (+.f64 (+.f64 z x) y) z) (.f64 (+.f64 y x) (+.f64 y x))) (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (+.f64 y x) (+.f64 y x)))))
(.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 (+.f64 z x) y) (.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (+.f64 (+.f64 z x) y)))
(.f64 (/.f64 (fma.f64 (+.f64 (+.f64 z x) y) z (.f64 (+.f64 y x) (+.f64 y x))) (.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (fma.f64 (+.f64 (+.f64 z x) y) z (.f64 (+.f64 y x) (+.f64 y x)))))
(.f64 (/.f64 (.f64 (+.f64 (+.f64 z x) y) (-.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z x) y)) t))
(.f64 (/.f64 (.f64 (+.f64 (+.f64 z x) y) (-.f64 (+.f64 y x) z)) t) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z x) y)) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 (neg.f64 z) z) z)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 z x) y) z (*.f64 (+.f64 y x) (+.f64 y x)))) t))
(.f64 (/.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 (neg.f64 z) z) z)) t) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 z x) y) z (*.f64 (+.f64 y x) (+.f64 y x)))) #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 (.f64 #s(literal -2 binary64) t) (*.f64 (+.f64 (+.f64 z x) y) (-.f64 z (+.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z x) y)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 (neg.f64 z) z) z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 z x) y) z (.f64 (+.f64 y x) (+.f64 y x)))))
(.f64 (.f64 (-.f64 (+.f64 y x) z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t))
(.f64 (.f64 (+.f64 (+.f64 z x) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z x) y)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 (neg.f64 z) z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 z x) y) z (.f64 (+.f64 y x) (+.f64 y x)))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (+.f64 z x) y)) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (+.f64 z x) y))))
(*.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 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (-.f64 (+.f64 y x) z) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 z t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (+.f64 z x) y)) (/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (.f64 t t) #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 z t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (+.f64 z x) y)) (/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (*.f64 t t) #s(literal 4 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) (.f64 (.f64 t t) #s(literal 4 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 (+.f64 z x) y) (/.f64 (-.f64 (+.f64 y x) z) (.f64 (*.f64 (+.f64 (+.f64 z x) y) #s(literal 2 binary64)) t)))
(.f64 (.f64 (+.f64 (+.f64 z x) y) (-.f64 (+.f64 y x) z)) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (+.f64 z x) y)))
(.f64 (.f64 (+.f64 (+.f64 z x) y) (-.f64 (+.f64 y x) z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z x) y)) (/.f64 #s(literal 1/2 binary64) t)))
(.f64 (.f64 (+.f64 (+.f64 z x) y) (-.f64 (+.f64 y x) z)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 z x) y) #s(literal 2 binary64)) t)))
(.f64 (.f64 (+.f64 (+.f64 z x) y) (-.f64 (+.f64 y x) z)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z x) y)) (*.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 (+.f64 z x) y) z (.f64 (+.f64 y x) (+.f64 y x))) (/.f64 (-.f64 (+.f64 y x) z) (.f64 (.f64 (fma.f64 (+.f64 (+.f64 z x) y) z (*.f64 (+.f64 y x) (+.f64 y x))) t) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (fma.f64 (+.f64 (+.f64 z x) y) z (*.f64 (+.f64 y x) (+.f64 y x)))))
(.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 (neg.f64 z) z) z)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 z x) y) z (.f64 (+.f64 y x) (+.f64 y x)))) (/.f64 #s(literal 1/2 binary64) t)))
(.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (+.f64 (+.f64 z x) y) z (*.f64 (+.f64 y x) (+.f64 y x))) t) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 z x) y) z (.f64 (+.f64 y x) (+.f64 y x)))) (.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 (.f64 #s(literal -2 binary64) t) (.f64 (+.f64 (+.f64 z x) y) (-.f64 z (+.f64 y x))))) (+.f64 (+.f64 z x) y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) t) (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 (neg.f64 z) z) z)))) (fma.f64 (+.f64 (+.f64 z x) y) z (*.f64 (+.f64 y x) (+.f64 y x))))
(/.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 (.f64 (+.f64 (+.f64 z x) y) (-.f64 z (+.f64 y x))) (/.f64 #s(literal -1/2 binary64) t)) (+.f64 (+.f64 z x) y))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 (+.f64 z x) y) z (.f64 (+.f64 y x) (+.f64 y x))) (-.f64 z (+.f64 y x))) (/.f64 #s(literal -1/2 binary64) t)) (fma.f64 (+.f64 (+.f64 z x) y) z (.f64 (+.f64 y x) (+.f64 y x))))
(/.f64 (.f64 (.f64 (+.f64 (+.f64 z x) y) (-.f64 (+.f64 y x) z)) (/.f64 #s(literal -1/2 binary64) t)) (neg.f64 (+.f64 (+.f64 z x) y)))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal -1/2 binary64) t)) (neg.f64 (fma.f64 (+.f64 (+.f64 z x) y) z (*.f64 (+.f64 y x) (+.f64 y x)))))
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eval178.0ms (2.1%)

Memory: 35.8MiB live, 108.6MiB allocated
Compiler: Compiled 15 811 to 1 466 computations (90.7% saved)

prune150.0ms (1.7%)

Memory

7.2MiB live, 241.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	604	11	615
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	605	11	616

Accuracy

100.0%

Counts

616 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.2%	(fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t)))
	97.7%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
▶	73.3%	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
	64.1%	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
▶	72.0%	(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64)))
	36.5%	(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
▶	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
▶	43.9%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
	34.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
▶	36.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))

Compiler

Compiled 270 to 182 computations (32.6% saved)

simplify149.0ms (1.7%)

Memory

-25.1MiB live, 132.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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 x y)
cost-diff	0	#s(approx (- (+ x y) z) (+.f64 x y))
cost-diff	0	(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.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 t (-.f64 (+.f64 y x) z))
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))

Rules

2 880×	`lower-fma.f64`
2 880×	`lower-fma.f32`
748×	`div-sub`
714×	`lower-*.f32`
711×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	145
0	41	145
1	69	145
2	121	145
3	217	145
4	376	145
5	632	145
6	1207	145
7	2527	145
8	4298	145
9	5923	145
10	7498	145
11	7670	145
12	7729	145
13	7771	145
0	8019	145

Stop Event

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

Calls

Call 1

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

localize65.0ms (0.8%)

Memory

22.7MiB live, 134.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y z)
accuracy	0	(*.f64 t #s(literal 2 binary64))
accuracy	0.015625	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
accuracy	18.467415452917155	#s(approx (- (+ x y) z) (-.f64 y z))
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 t #s(literal 2 binary64))
accuracy	0.015625	(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64)))
accuracy	20.120900754221594	#s(approx (- (+ x y) z) (+.f64 x y))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0.203125	(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
accuracy	35.814147940236346	#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	0.1953125	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
accuracy	40.639516105576426	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
accuracy	0	(-.f64 (+.f64 y x) z)
accuracy	0	(+.f64 y x)
accuracy	0.01171875	(/.f64 t (-.f64 (+.f64 y x) z))
accuracy	0.19140625	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))

Samples

41.0ms

256×

valid

Compiler

Compiled 119 to 22 computations (81.5% saved)

Precisions

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

ival-div: 8.0ms (41.7% of total)

ival-mult: 4.0ms (20.9% of total)

ival-sub: 3.0ms (15.7% of total)

ival-add: 3.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.6%)

Memory

-34.1MiB live, 56.5MiB allocated

Counts

17 → 552

Calls

Call 1

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

Calls

138 calls:

Time	Variable		Point	Expression
8.0ms	z	@	inf	(/ t (- (+ y x) z))
3.0ms	t	@	0	(/ 1/2 t)
2.0ms	t	@	0	(/ t (- (+ y x) z))
1.0ms	z	@	inf	(* (/ -1/2 t) z)
1.0ms	t	@	0	(* (/ 1/2 t) y)

simplify313.0ms (3.6%)

Memory

23.0MiB live, 410.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 851×	`lower-fma.f64`
5 851×	`lower-fma.f32`
3 162×	`lower-*.f64`
3 162×	`lower-*.f32`
1 595×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	312	4921
1	946	4862
2	2779	4740
0	8478	4618

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 525

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

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

rewrite283.0ms (3.3%)

Memory

-7.8MiB live, 313.2MiB allocated

Rules

2 752×	`lower-fma.f64`
2 752×	`lower-fma.f32`
2 491×	`lower-*.f32`
2 488×	`lower-*.f64`
2 055×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	123
0	41	123
1	168	123
2	1090	123
0	8544	123

Stop Event

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

Counts

17 → 925

Calls

Call 1

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

eval186.0ms (2.2%)

Memory: 16.7MiB live, 282.2MiB allocated
Compiler: Compiled 25 222 to 2 616 computations (89.6% saved)

prune349.0ms (4%)

Memory

2.9MiB live, 420.7MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1 474	6	1 480
Fresh	4	2	6
Picked	3	2	5
Done	0	0	0
Total	1 481	10	1 491

Accuracy

100.0%

Counts

1 491 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.3%	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
	64.1%	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
✓	72.0%	(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64)))
▶	64.0%	(/.f64 #s(approx (- (+ x y) z) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) (*.f64 t #s(literal 2 binary64)))
	64.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 x z))))
▶	34.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x)))
▶	44.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
	36.5%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
▶	34.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
▶	97.2%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)))

Compiler

Compiled 216 to 142 computations (34.3% saved)

simplify132.0ms (1.5%)

Memory

-17.3MiB live, 177.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
cost-diff	0	#s(approx (- (+ x y) z) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
cost-diff	0	(/.f64 #s(approx (- (+ x y) z) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) (*.f64 t #s(literal 2 binary64)))
cost-diff	896	(fma.f64 (/.f64 y x) x x)
cost-diff	0	(/.f64 t x)
cost-diff	0	#s(approx (/ t (- (+ y x) z)) (/.f64 t x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t 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) 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 (-.f64 y z) t)
cost-diff	0	(*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)))
cost-diff	704	(+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))

Rules

2 902×	`lower-fma.f32`
2 901×	`lower-fma.f64`
1 618×	`lower-*.f32`
1 614×	`lower-*.f64`
1 384×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	201
0	50	201
1	83	201
2	132	197
3	199	189
4	366	183
5	870	183
6	2540	183
7	5345	183
8	7296	183
0	8014	183

Stop Event

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

Calls

Call 1

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

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

localize92.0ms (1.1%)

Memory

7.4MiB live, 124.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
accuracy	0.015625	(/.f64 #s(approx (- (+ x y) z) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) (*.f64 t #s(literal 2 binary64)))
accuracy	8.934971226608976	(fma.f64 (/.f64 y x) x x)
accuracy	20.120900754221594	#s(approx (- (+ x y) z) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
accuracy	0	(/.f64 t x)
accuracy	0.19140625	(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x)))
accuracy	40.53684888590908	#s(approx (/ t (- (+ y x) z)) (/.f64 t x))
accuracy	0	(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	35.814147940236346	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0.203125	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
accuracy	41.936053809979704	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
accuracy	0	(*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))
accuracy	0	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)))
accuracy	0.00390625	(/.f64 (-.f64 y z) t)
accuracy	1.5117146216604118	(+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))

Samples

58.0ms

256×

valid

Compiler

Compiled 143 to 29 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 25.0ms (60.6% of total)

ival-mult: 7.0ms (17% of total)

ival-add: 5.0ms (12.1% of total)

ival-sub: 3.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.4%)

Memory

17.0MiB live, 54.2MiB allocated

Counts

17 → 600

Calls

Call 1

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

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

Calls

150 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(+ (/ (- y z) t) (/ x t))
1.0ms	t	@	-inf	(+ (/ (- y z) t) (/ x t))
0.0ms	y	@	0	(+ (/ (- y z) t) (/ x t))
0.0ms	y	@	-inf	(+ (/ (- y z) t) (/ x t))
0.0ms	t	@	0	(+ (/ (- y z) t) (/ x t))

simplify283.0ms (3.3%)

Memory

7.0MiB live, 244.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 450×	`lower-fma.f64`
4 450×	`lower-fma.f32`
2 720×	`lower-*.f64`
2 720×	`lower-*.f32`
1 877×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	5796
1	1085	5740
2	3180	5331
0	8491	5190

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 584

Calls

Call 1

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

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

rewrite254.0ms (2.9%)

Memory

8.5MiB live, 243.8MiB allocated

Rules

2 842×	`lower-/.f32`
2 834×	`lower-/.f64`
2 265×	`lower-fma.f32`
2 264×	`lower-fma.f64`
1 883×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	171
0	50	171
1	221	171
2	1663	167
0	8241	163

Stop Event

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

Counts

17 → 515

Calls

Call 1

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

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

eval146.0ms (1.7%)

Memory: 18.2MiB live, 206.4MiB allocated
Compiler: Compiled 16 685 to 1 631 computations (90.2% saved)

prune216.0ms (2.5%)

Memory

-18.8MiB live, 256.7MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 097	2	1 099
Fresh	0	3	3
Picked	2	3	5
Done	0	2	2
Total	1 099	10	1 109

Accuracy

100.0%

Counts

1 109 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.3%	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
▶	64.1%	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
✓	72.0%	(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64)))
✓	64.0%	(/.f64 #s(approx (- (+ x y) z) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) (*.f64 t #s(literal 2 binary64)))
▶	64.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 x z))))
✓	34.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t x)))
✓	44.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
▶	34.5%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
▶	36.5%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
▶	61.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 #s(approx (/ (- y z) t) (/.f64 (neg.f64 z) t)) (/.f64 x t)) #s(literal 1/2 binary64)))

Compiler

Compiled 180 to 119 computations (33.9% saved)

simplify378.0ms (4.4%)

Memory

14.2MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (- y z) t) (/.f64 (neg.f64 z) t))
cost-diff	0	(+.f64 #s(approx (/ (- y z) t) (/.f64 (neg.f64 z) t)) (/.f64 x t))
cost-diff	0	(*.f64 (+.f64 #s(approx (/ (- y z) t) (/.f64 (neg.f64 z) t)) (/.f64 x t)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 #s(approx (/ (- y z) t) (/.f64 (neg.f64 z) t)) (/.f64 x t)) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 x z)
cost-diff	0	#s(approx (- (+ y x) z) (-.f64 x z))
cost-diff	0	(/.f64 t #s(approx (- (+ y x) z) (-.f64 x z)))
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 x z))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
cost-diff	0	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) 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 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)))

Rules

1 680×	`lower-fma.f64`
1 680×	`lower-fma.f32`
817×	`div-sub`
744×	`lower-*.f32`
740×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	203
0	49	203
1	82	203
2	132	203
3	189	203
4	298	203
5	478	203
6	797	203
7	1709	203
8	3198	203
9	4523	203
10	5317	203
11	5481	203
12	5542	203
13	5571	203
14	6021	203
15	6249	203
16	6322	203
17	6420	203
18	6422	203
19	6422	203
20	6422	203
21	6462	203
22	6651	203
23	6814	203
24	7156	203
25	7358	203
26	7388	203
27	7392	203
0	7392	203

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize103.0ms (1.2%)

Memory

-12.4MiB live, 145.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 #s(approx (/ (- y z) t) (/.f64 (neg.f64 z) t)) (/.f64 x t)) #s(literal 1/2 binary64)))
accuracy	1.5117146216604118	(+.f64 #s(approx (/ (- y z) t) (/.f64 (neg.f64 z) t)) (/.f64 x t))
accuracy	32.25821881253041	#s(approx (/ (- y z) t) (/.f64 (neg.f64 z) t))
accuracy	0	(-.f64 x z)
accuracy	0.01171875	(/.f64 t #s(approx (- (+ y x) z) (-.f64 x z)))
accuracy	0.19140625	(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 x z))))
accuracy	25.078296814658625	#s(approx (- (+ y x) z) (-.f64 x z))
accuracy	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	41.936053809979704	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
accuracy	0	(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
accuracy	0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	40.639516105576426	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
accuracy	0	(-.f64 x z)
accuracy	0	(*.f64 t #s(literal 2 binary64))
accuracy	0.015625	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
accuracy	25.078296814658625	#s(approx (- (+ x y) z) (-.f64 x z))

Samples

51.0ms

256×

valid

Compiler

Compiled 141 to 29 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 17.0ms (51.9% of total)

ival-mult: 6.0ms (18.3% of total)

ival-sub: 4.0ms (12.2% of total)

ival-add: 4.0ms (12.2% of total)

ival-neg: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

5.8MiB live, 44.1MiB allocated

Counts

18 → 612

Calls

Call 1

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

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

Calls

153 calls:

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

simplify337.0ms (3.9%)

Memory

-6.8MiB live, 250.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 928×	`lower-fma.f64`
4 928×	`lower-fma.f32`
3 134×	`lower-*.f64`
3 134×	`lower-*.f32`
1 716×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	364	6059
1	1092	5997
2	3219	5543
0	8128	5408

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 601

Calls

Call 1

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

rewrite231.0ms (2.7%)

Memory

1.5MiB live, 275.9MiB allocated

Rules

2 665×	`lower-/.f32`
2 658×	`lower-/.f64`
2 098×	`lower-*.f32`
2 094×	`lower-*.f64`
1 718×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	175
0	49	175
1	212	175
2	1421	175
0	8246	175

Stop Event

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

Counts

18 → 352

Calls

Call 1

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

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

eval175.0ms (2%)

Memory: 6.5MiB live, 195.5MiB allocated
Compiler: Compiled 14 683 to 1 064 computations (92.8% saved)

prune199.0ms (2.3%)

Memory

9.9MiB live, 286.3MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 013	1	1 014
Fresh	0	0	0
Picked	0	5	5
Done	1	4	5
Total	1 014	10	1 024

Accuracy

100.0%

Counts

1 024 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.3%	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
✓	64.1%	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
✓	72.0%	(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64)))
✓	64.0%	(/.f64 #s(approx (- (+ x y) z) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) (*.f64 t #s(literal 2 binary64)))
✓	64.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 x z))))
	63.9%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
✓	44.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
✓	34.5%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
✓	36.5%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
✓	61.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 #s(approx (/ (- y z) t) (/.f64 (neg.f64 z) t)) (/.f64 x t)) #s(literal 1/2 binary64)))

Compiler

Compiled 302 to 133 computations (56% saved)

regimes62.0ms (0.7%)

Memory

-17.9MiB live, 139.1MiB allocated

Counts

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

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

Calls

8 calls:

11.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
9.0ms	z
8.0ms	(*.f64 t #s(literal 2 binary64))
7.0ms	x
7.0ms	t

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
100.0%	1	`(-.f64 (+.f64 x y) z)`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes40.0ms (0.5%)

Memory

28.5MiB live, 110.8MiB allocated

Counts

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`t`
99.7%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
99.7%	1	`(-.f64 (+.f64 x y) z)`
99.7%	1	`(+.f64 x y)`
99.7%	1	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes67.0ms (0.8%)

Memory

-5.3MiB live, 71.8MiB 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 #s(literal 1/2 binary64) x) 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 x z)))
(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.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:

37.0ms	t
5.0ms	(*.f64 t #s(literal 2 binary64))
4.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
90.6%	2	`x`
92.6%	2	`y`
91.5%	3	`z`
76.1%	2	`t`
99.0%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
99.0%	2	`(-.f64 (+.f64 x y) z)`
99.2%	2	`(+.f64 x y)`
76.1%	2	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes95.0ms (1.1%)

Memory

-10.1MiB live, 27.1MiB 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 #s(literal 1/2 binary64) x) 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 x z)))
(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.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 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64)))

Calls

4 calls:

83.0ms	(-.f64 (+.f64 x y) z)
4.0ms	(+.f64 x y)
4.0ms	y
4.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
90.6%	2	`y`
85.5%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
85.5%	2	`(-.f64 (+.f64 x y) z)`
91.7%	2	`(+.f64 x y)`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes4.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

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

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

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
91.5%	2	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

8 → 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 #s(literal 1/2 binary64) x) 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 x z)))

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

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
91.1%	2	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes83.0ms (1%)

Memory

-35.8MiB live, 22.5MiB 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 #s(literal 1/2 binary64) x) 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 #s(literal 1/2 binary64) x) 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

6 calls:

67.0ms	z
3.0ms	(-.f64 (+.f64 x y) z)
3.0ms	(+.f64 x y)
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
71.4%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
71.4%	2	`(-.f64 (+.f64 x y) z)`
62.7%	4	`z`
69.5%	3	`y`
64.4%	3	`x`
81.7%	3	`(+.f64 x y)`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes3.0ms (0%)

Memory

2.2MiB live, 2.2MiB 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 #s(literal 1/2 binary64) x) t))

Outputs

#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) 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
81.6%	3	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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
81.5%	3	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

2.0MiB live, 2.0MiB 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
81.5%	3	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

2 → 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))

Outputs

#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) z))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
55.3%	3	`z`
54.1%	3	`x`
43.0%	2	`y`
48.8%	2	`(-.f64 (+.f64 x y) z)`
48.8%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
40.6%	3	`t`
40.6%	3	`(*.f64 t #s(literal 2 binary64))`
52.8%	2	`(+.f64 x y)`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes66.0ms (0.8%)

Memory

-16.2MiB live, 21.9MiB 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:

56.0ms	z
1.0ms	(*.f64 t #s(literal 2 binary64))
1.0ms	(+.f64 x y)
1.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
1.0ms	y

Results

Accuracy	Segments	Branch
36.4%	1	`t`
36.4%	1	`(*.f64 t #s(literal 2 binary64))`
36.4%	1	`y`
36.4%	1	`(-.f64 (+.f64 x y) z)`
36.4%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
36.4%	1	`x`
36.4%	1	`(+.f64 x y)`
36.4%	1	`z`

Compiler

Compiled 56 to 42 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.624771583729131e-207	-1.5211567026766156e-217

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5124049783839803e-7	1494.6818865486898

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5124049783839803e-7	1494.6818865486898

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5124049783839803e-7	1494.6818865486898

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5124049783839803e-7	1494.6818865486898
0.0ms	-3.98297639244571e+40	-1.5356323026640894e+35

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5124049783839803e-7	1494.6818865486898
0.0ms	-3.98297639244571e+40	-1.5356323026640894e+35

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5124049783839803e-7	1494.6818865486898
0.0ms	-3.98297639244571e+40	-1.5356323026640894e+35

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5124049783839803e-7	1494.6818865486898
0.0ms	-3.98297639244571e+40	-1.5356323026640894e+35

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch50.0ms (0.6%)

Memory

3.2MiB live, 40.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	9.953919246414733e+55	4.260941968255819e+58
11.0ms	-1.3728838564161037e+42	-3.6463892569441354e+38

Samples

38.0ms

256×

valid

Compiler

Compiled 368 to 272 computations (26.1% saved)

Precisions

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

ival-mult: 27.0ms (84.7% of total)

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

ival-sub: 1.0ms (3.1% of total)

ival-add: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	444
1	85	444
2	92	444
3	94	444
4	95	444

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
(if (<=.f64 (+.f64 x y) #s(literal -7229475734293037/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 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 944473296573929/4722366482869645213696 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 944473296573929/4722366482869645213696 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 944473296573929/4722366482869645213696 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)))
(if (<=.f64 (+.f64 x y) #s(literal -20000000000000000607572056854007333781504 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/4722366482869645213696 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 -20000000000000000607572056854007333781504 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/4722366482869645213696 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 -20000000000000000607572056854007333781504 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/4722366482869645213696 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 -20000000000000000607572056854007333781504 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/4722366482869645213696 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 z #s(literal -4800000000000000194174326429546927095808 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (if (<=.f64 z #s(literal 12600000000000000156184433810822821562413497645050636533760 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 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 y x) z) (*.f64 #s(literal 2 binary64) t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
(*.f64 (-.f64 (+.f64 y x) z) (/.f64 #s(literal 1/2 binary64) t))
(if (<=.f64 (+.f64 x y) #s(literal -7229475734293037/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 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 y x) #s(literal -7229475734293037/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 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 (+.f64 x y) #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 y x) #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 #s(literal 2 binary64) t)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 #s(literal 2 binary64) t)))
(if (<=.f64 (+.f64 x y) #s(literal 944473296573929/4722366482869645213696 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 y x) #s(literal 944473296573929/4722366482869645213696 binary64)) (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 #s(literal 2 binary64) t)))
(if (<=.f64 (+.f64 x y) #s(literal 944473296573929/4722366482869645213696 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)))
(if (<=.f64 (+.f64 y x) #s(literal 944473296573929/4722366482869645213696 binary64)) (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 (+.f64 x y) #s(literal -20000000000000000607572056854007333781504 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/4722366482869645213696 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 y x) #s(literal -20000000000000000607572056854007333781504 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 y x) #s(literal 944473296573929/4722366482869645213696 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) y) t))))
(if (<=.f64 (+.f64 x y) #s(literal -20000000000000000607572056854007333781504 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/4722366482869645213696 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 y x) #s(literal -20000000000000000607572056854007333781504 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 y x) #s(literal 944473296573929/4722366482869645213696 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 -20000000000000000607572056854007333781504 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/4722366482869645213696 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 y x) #s(literal -20000000000000000607572056854007333781504 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 y x) #s(literal 944473296573929/4722366482869645213696 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 -20000000000000000607572056854007333781504 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 944473296573929/4722366482869645213696 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 y x) #s(literal -20000000000000000607572056854007333781504 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 y x) #s(literal 944473296573929/4722366482869645213696 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 z #s(literal -4800000000000000194174326429546927095808 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (if (<=.f64 z #s(literal 12600000000000000156184433810822821562413497645050636533760 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))

soundness1.0s (12.1%)

Memory

-0.3MiB live, 755.2MiB allocated

Rules

3 806×	`lower-fma.f64`
3 806×	`lower-fma.f32`
2 842×	`lower-/.f32`
2 834×	`lower-/.f64`
2 752×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	175
0	49	175
1	212	175
2	1421	175
0	8246	175
0	28	123
0	41	123
1	168	123
2	1090	123
0	8544	123
0	34	171
0	50	171
1	221	171
2	1663	167
0	8241	163
0	103	728
1	314	728
2	876	728
3	2929	650
4	7509	650
0	8709	650
0	9	20
0	13	20
1	57	20
2	473	20
3	7793	20
0	8232	20

Stop Event

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

Compiler

Compiled 622 to 306 computations (50.8% saved)

preprocess95.0ms (1.1%)

Memory

-13.4MiB live, 174.1MiB allocated

Remove

(sort x y)

(negabs t)

Compiler

Compiled 702 to 230 computations (67.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze87.0ms (1%)

sample1.2s (14.1%)

explain120.0ms (1.4%)

preprocess245.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify185.0ms (2.1%)

localize21.0ms (0.2%)

series60.0ms (0.7%)

simplify222.0ms (2.6%)

rewrite505.0ms (5.8%)

eval178.0ms (2.1%)

prune150.0ms (1.7%)

simplify149.0ms (1.7%)

localize65.0ms (0.8%)

series49.0ms (0.6%)

simplify313.0ms (3.6%)

rewrite283.0ms (3.3%)

eval186.0ms (2.2%)

prune349.0ms (4%)

simplify132.0ms (1.5%)

localize92.0ms (1.1%)

series37.0ms (0.4%)

simplify283.0ms (3.3%)

rewrite254.0ms (2.9%)

eval146.0ms (1.7%)

prune216.0ms (2.5%)

simplify378.0ms (4.4%)

localize103.0ms (1.2%)

series26.0ms (0.3%)

simplify337.0ms (3.9%)

rewrite231.0ms (2.7%)

eval175.0ms (2%)

prune199.0ms (2.3%)

regimes62.0ms (0.7%)

regimes40.0ms (0.5%)

regimes67.0ms (0.8%)

regimes95.0ms (1.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes83.0ms (1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes13.0ms (0.2%)

regimes66.0ms (0.8%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch50.0ms (0.6%)

simplify9.0ms (0.1%)

soundness1.0s (12.1%)

preprocess95.0ms (1.1%)

end0.0ms (0%)

Profiling