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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze200.0ms (2.2%)

Memory

-3.2MiB live, 159.0MiB 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)

sample1.4s (15.1%)

Memory

-9.9MiB live, 1 255.6MiB allocated

Samples

872.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 618.0ms

ival-add: 436.0ms (70.6% of total)

ival-div: 74.0ms (12% of total)

ival-mult: 55.0ms (8.9% of total)

ival-sub: 38.0ms (6.1% of total)

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

exact: 5.0ms (0.8% of total)

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

Bogosity

explain207.0ms (2.3%)

Memory

-30.6MiB live, 195.0MiB 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

52.0ms	510×	0	valid
0.0ms	2×	3	valid

Compiler

Compiled 67 to 31 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 25.0ms (70.4% of total)

ival-div: 4.0ms (11.3% of total)

ival-mult: 3.0ms (8.5% of total)

ival-sub: 2.0ms (5.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess216.0ms (2.4%)

Memory

21.1MiB live, 133.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs t)

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify160.0ms (1.8%)

Memory

9.6MiB live, 95.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.3%)

Memory

-27.2MiB live, 50.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 t #s(literal 2 binary64))
accuracy	0.00390625	(-.f64 (+.f64 x y) z)
accuracy	0.015625	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Samples

15.0ms	255×	0	valid
0.0ms	1×	3	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 (32.7% of total)

ival-add: 1.0ms (16.3% of total)

ival-sub: 1.0ms (16.3% of total)

ival-mult: 1.0ms (16.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

4 → 120

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (/ (- 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
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))
1.0ms	t	@	0	(/ (- (+ x y) z) (* t 2))
1.0ms	x	@	0	(/ (- (+ x y) z) (* t 2))

simplify145.0ms (1.6%)

Memory

13.0MiB live, 209.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

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

rewrite220.0ms (2.4%)

Memory

-1.8MiB live, 235.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 505

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (+.f64 z (+.f64 y x)) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t))) (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 z z) z))) (fma.f64 z (-.f64 z (+.f64 y x)) (*.f64 (+.f64 y x) (+.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 z (+.f64 y x)) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t))) (.f64 (+.f64 z (+.f64 y x)) (-.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 z (+.f64 y x)) z (.f64 (+.f64 y x) (+.f64 y x))) (-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (+.f64 z (+.f64 y x)) z)))) (-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (+.f64 z (+.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))) (fma.f64 (.f64 (.f64 (+.f64 z (+.f64 y x)) z) (.f64 (+.f64 z (+.f64 y x)) z)) (.f64 (+.f64 z (+.f64 y x)) z) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (+.f64 y x) (+.f64 y x))) (.f64 (+.f64 y x) (+.f64 y x))))) (fma.f64 (.f64 (+.f64 z (+.f64 y x)) z) (-.f64 (.f64 (+.f64 z (+.f64 y x)) 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 z (+.f64 y x)) (.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (+.f64 z (+.f64 y x))))
(.f64 (/.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (.f64 (+.f64 y x) (+.f64 y x))) (.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (fma.f64 (+.f64 z (+.f64 y x)) z (.f64 (+.f64 y x) (+.f64 y x)))))
(.f64 (/.f64 (.f64 (+.f64 z (+.f64 y x)) (-.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (+.f64 y x))) t))
(.f64 (/.f64 (.f64 (+.f64 z (+.f64 y x)) (-.f64 (+.f64 y x) z)) t) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (+.f64 y x))) #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 z (+.f64 y x)) 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 z (+.f64 y x)) 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 z (+.f64 y x)) (-.f64 z (+.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z (+.f64 y x))))
(.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 z (+.f64 y x)) 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 z (+.f64 y x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t))) (/.f64 #s(literal 1 binary64) (+.f64 z (+.f64 y x))))
(.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 z (+.f64 y x)) z (.f64 (+.f64 y x) (+.f64 y x)))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 y x))) (.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 z (+.f64 y x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (-.f64 z (+.f64 y x)))
(*.f64 (/.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 z (.f64 #s(literal 2 binary64) t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 y x))) (/.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 z (.f64 #s(literal 2 binary64) t)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 y x))) (/.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 z (+.f64 y x)) (/.f64 (-.f64 (+.f64 y x) z) (.f64 (*.f64 (+.f64 z (+.f64 y x)) t) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 z (+.f64 y x)) (-.f64 (+.f64 y x) z)) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 y x))))
(.f64 (.f64 (+.f64 z (+.f64 y x)) (-.f64 (+.f64 y x) z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (+.f64 y x))) (/.f64 #s(literal 1/2 binary64) t)))
(.f64 (.f64 (+.f64 z (+.f64 y x)) (-.f64 (+.f64 y x) z)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 z (+.f64 y x)) t) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 z (+.f64 y x)) (-.f64 (+.f64 y x) z)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (+.f64 y x))) (*.f64 #s(literal 2 binary64) t)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t)))
(.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (.f64 (+.f64 y x) (+.f64 y x))) (/.f64 (-.f64 (+.f64 y x) z) (.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (.f64 (+.f64 y x) (+.f64 y x))) (*.f64 #s(literal 2 binary64) t))))
(.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 z (+.f64 y x)) 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 z (+.f64 y x)) 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 (fma.f64 (+.f64 z (+.f64 y x)) z (.f64 (+.f64 y x) (+.f64 y x))) (*.f64 #s(literal 2 binary64) t))))
(.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 z (+.f64 y x)) 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 z (+.f64 y x)) (-.f64 z (+.f64 y x))))) (+.f64 z (+.f64 y x)))
(/.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 z (+.f64 y x)) 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 z (+.f64 y x)) (-.f64 z (+.f64 y x))) (/.f64 #s(literal -1/2 binary64) t)) (+.f64 z (+.f64 y x)))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (.f64 (+.f64 y x) (+.f64 y x))) (-.f64 z (+.f64 y x))) (/.f64 #s(literal -1/2 binary64) t)) (fma.f64 (+.f64 z (+.f64 y x)) z (.f64 (+.f64 y x) (+.f64 y x))))
(/.f64 (.f64 (.f64 (+.f64 z (+.f64 y x)) (-.f64 (+.f64 y x) z)) (/.f64 #s(literal -1/2 binary64) t)) (neg.f64 (+.f64 z (+.f64 y x))))
(/.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 z (+.f64 y x)) z (*.f64 (+.f64 y x) (+.f64 y x)))))
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eval238.0ms (2.6%)

Memory: -17.6MiB live, 102.3MiB allocated
Compiler: Compiled 15 811 to 1 462 computations (90.8% saved)

prune276.0ms (3.1%)

Memory

7.5MiB live, 129.6MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

100.0%

Counts

616 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.9%	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
	69.5%	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
▶	69.3%	(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64)))
	37.4%	(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t))
	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
▶	99.8%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
▶	38.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
	35.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
▶	37.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))

Compiler

Compiled 236 to 164 computations (30.5% saved)

simplify219.0ms (2.4%)

Memory

19.2MiB live, 95.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

5 072×	`lower-fma.f64`
5 072×	`lower-fma.f32`
1 450×	`div-sub`
1 292×	`lower-*.f32`
1 284×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	141
0	41	141
1	72	141
2	142	141
3	246	141
4	391	141
5	640	141
6	1240	141
7	2552	141
8	4253	141
9	5946	141
10	7592	141
11	7722	141
12	7772	141
13	7808	141
14	7996	141
0	8064	141

Stop Event

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

Calls

Call 1

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

localize276.0ms (3.1%)

Memory

-34.4MiB live, 128.5MiB 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	21.28866313329101	#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	21.395557938849695	#s(approx (- (+ x y) z) (+.f64 x y))
accuracy	0	(/.f64 x t)
accuracy	0	(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
accuracy	39.24577884812999	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 #s(literal -1/2 binary64) t)
accuracy	0.1875	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
accuracy	40.034281542551376	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0	(+.f64 y x)
accuracy	0.00390625	(-.f64 (+.f64 y x) z)
accuracy	0.15625	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))

Samples

142.0ms	255×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 115 to 22 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sub: 14.0ms (47.2% of total)

ival-div: 7.0ms (23.6% of total)

ival-mult: 6.0ms (20.2% of total)

ival-add: 2.0ms (6.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

17 → 528

Calls

Call 1

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

132 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/ 1/2 t)
1.0ms	t	@	inf	(* (/ x t) 1/2)
1.0ms	t	@	0	(* (/ -1/2 t) z)
0.0ms	z	@	0	(* (/ -1/2 t) z)
0.0ms	t	@	0	(* (/ x t) 1/2)

simplify176.0ms (2%)

Memory

-8.2MiB live, 111.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	3069
1	354	3069
2	1000	3069
3	3171	3069
4	7303	3069
0	8432	3069

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 501

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))
(* 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 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 (/ (- 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 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 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(- 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)))
(- 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 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)))))
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)))
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)))
(* 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))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 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)) (* 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)))
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Outputs
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(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)

rewrite266.0ms (3%)

Memory

-9.2MiB live, 181.2MiB allocated

Rules

5 534×	`lower-fma.f64`
5 534×	`lower-fma.f32`
4 758×	`lower-*.f32`
4 750×	`lower-*.f64`
4 080×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	119
0	41	119
1	161	119
2	1078	119
0	8427	119

Stop Event

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

Counts

17 → 846

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
(/.f64 #s(literal 1/2 binary64) t)
(-.f64 (+.f64 y x) z)
(+.f64 y x)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 #s(literal -1/2 binary64) t)
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
(/.f64 x 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 (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) t))
(.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 (pow.f64 (.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) t))
(.f64 (/.f64 (+.f64 (+.f64 z y) x) (.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 x y) z) (+.f64 (+.f64 z y) x)))
(.f64 (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (.f64 z (+.f64 (+.f64 z y) x))) (.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 x y) z) (fma.f64 (+.f64 x y) (+.f64 x y) (.f64 z (+.f64 (+.f64 z y) x)))))
(.f64 (/.f64 (.f64 (+.f64 (+.f64 z y) x) (-.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z y) x)) t))
(.f64 (/.f64 (.f64 (+.f64 (+.f64 z y) x) (-.f64 (+.f64 x y) z)) t) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z y) x)) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (.f64 (.f64 (neg.f64 z) z) z)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 (+.f64 z y) x)))) t))
(.f64 (/.f64 (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (.f64 (.f64 (neg.f64 z) z) z)) t) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 (+.f64 z y) x)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) t) (*.f64 (+.f64 (+.f64 z y) x) (-.f64 z (+.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z y) x)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (.f64 (.f64 (neg.f64 z) z) z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (.f64 z (+.f64 (+.f64 z y) x)))))
(.f64 (.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t))
(.f64 (.f64 (*.f64 (+.f64 (+.f64 z y) x) (-.f64 (+.f64 x y) z)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z y) x)))
(.f64 (.f64 (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (.f64 (.f64 (neg.f64 z) 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 z y) x)))))
(.f64 (.f64 (-.f64 z (+.f64 x y)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) t))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (+.f64 z y) x)) (-.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z y) x)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (.f64 (.f64 (neg.f64 z) z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (.f64 z (+.f64 (+.f64 z y) x)))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (+.f64 z y) x)) (.f64 (/.f64 (-.f64 z (+.f64 x y)) t) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (+.f64 z y) x))))
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (-.f64 (+.f64 x y) z) #s(literal -2 binary64)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) t) (.f64 (.f64 z (/.f64 #s(literal 1/2 binary64) t)) (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64))))) (.f64 (/.f64 (-.f64 z (+.f64 x y)) t) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) t) (.f64 (.f64 z (/.f64 #s(literal 1/2 binary64) t)) (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 (-.f64 z (+.f64 x y)) t) #s(literal -1/2 binary64))
(.f64 (.f64 (.f64 (+.f64 (+.f64 z y) x) (-.f64 (+.f64 x y) z)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 z y) x) (neg.f64 t))))
(.f64 (.f64 (.f64 (+.f64 (+.f64 z y) x) (-.f64 (+.f64 x y) z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 z y) x) t)))
(.f64 (.f64 (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (.f64 (.f64 (neg.f64 z) z) z)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 (+.f64 z y) x))) (neg.f64 t))))
(.f64 (.f64 (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (.f64 (.f64 (neg.f64 z) z) z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 (+.f64 z y) x))) t)))
(.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 z y) x)) (-.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) (+.f64 (+.f64 z y) x))))
(.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (.f64 (.f64 (neg.f64 z) z) z))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 (+.f64 z y) x))))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 z y) x)) (-.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (.f64 t (+.f64 (+.f64 z y) x))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (.f64 (.f64 (neg.f64 z) z) z))) (/.f64 #s(literal 1 binary64) (.f64 t (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 (+.f64 z y) x))))))
(.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 (-.f64 z (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) t)))
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64))
(.f64 (.f64 (+.f64 (+.f64 z y) x) (-.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (+.f64 z y) x) t) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (+.f64 z y) x) (-.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) t) (+.f64 (+.f64 z y) x))))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 z (+.f64 x y)) t) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (.f64 z (+.f64 (+.f64 z y) x))) (*.f64 #s(literal 2 binary64) t))))
(.f64 (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) t) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 (+.f64 z y) x))))))
(*.f64 (-.f64 z (+.f64 x y)) (/.f64 #s(literal -1/2 binary64) t))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 x y)) t))
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 #s(literal 1/2 binary64) t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 (+.f64 x y) z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 x y) z) t))
(pow.f64 (*.f64 t (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 y (/.f64 #s(literal 1/2 binary64) t)) (.f64 y (/.f64 #s(literal 1/2 binary64) t))) (.f64 (.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t)) (.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t)))) (-.f64 (.f64 y (/.f64 #s(literal 1/2 binary64) t)) (.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))) (.f64 (.f64 (/.f64 z t) #s(literal -1/2 binary64)) (.f64 (/.f64 z t) #s(literal -1/2 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))) (-.f64 (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) y) (.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)))) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) y) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) t)) (.f64 (.f64 (/.f64 z t) #s(literal -1/2 binary64)) (.f64 (/.f64 z t) #s(literal -1/2 binary64)))) (-.f64 (.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (.f64 (.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)) (.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)))) (-.f64 (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t))))
(/.f64 (+.f64 (pow.f64 (.f64 y (/.f64 #s(literal 1/2 binary64) t)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t)) #s(literal 3 binary64))) (fma.f64 (.f64 y (/.f64 #s(literal 1/2 binary64) t)) (.f64 y (/.f64 #s(literal 1/2 binary64) t)) (-.f64 (.f64 (.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t)) (.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t))) (.f64 (.f64 y (/.f64 #s(literal 1/2 binary64) t)) (.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 z t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (-.f64 (.f64 (.f64 (/.f64 z t) #s(literal -1/2 binary64)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x t) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) (.f64 (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) y) (.f64 (/.f64 #s(literal 1/2 binary64) t) y) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) y) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) t)) (.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (pow.f64 (.f64 (/.f64 z t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) t) (-.f64 (.f64 (.f64 (/.f64 z t) #s(literal -1/2 binary64)) (.f64 (/.f64 z t) #s(literal -1/2 binary64))) (.f64 (.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x t) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)) (.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t))) (.f64 (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (+.f64 z y) x) (-.f64 (+.f64 x y) z)) (/.f64 #s(literal 1/2 binary64) t))) (neg.f64 (+.f64 (+.f64 z y) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1/2 binary64) t))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 (+.f64 z y) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 z (+.f64 x y)) #s(literal 1/2 binary64))) t)
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (+.f64 z y) x)) (-.f64 (+.f64 x y) z))) (neg.f64 (+.f64 (+.f64 z y) x)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y) (.f64 (.f64 (neg.f64 z) z) z)))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 (+.f64 z y) x)))))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (+.f64 z y) x)) (.f64 (/.f64 (-.f64 z (+.f64 x y)) t) #s(literal -1/2 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (+.f64 z y) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) t) (.f64 (.f64 z (/.f64 #s(literal 1/2 binary64) t)) (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64))))) (.f64 (/.f64 (-.f64 z (+.f64 x y)) t) #s(literal -1/2 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) t) (.f64 (.f64 z (/.f64 #s(literal 1/2 binary64) t)) (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (+.f64 z y) x) (-.f64 (+.f64 x y) z)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 z y) x) (neg.f64 t))))
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eval167.0ms (1.9%)

Memory: 35.0MiB live, 299.1MiB allocated
Compiler: Compiled 21 617 to 2 045 computations (90.5% saved)

prune257.0ms (2.9%)

Memory

0.4MiB live, 410.5MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 372	5	1 377
Fresh	2	3	5
Picked	1	4	5
Done	0	0	0
Total	1 375	12	1 387

Accuracy

100.0%

Counts

1 387 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.9%	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
✓	69.3%	(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64)))
▶	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t))
▶	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))
	69.4%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
▶	69.2%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
	37.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
▶	35.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))
✓	38.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
	35.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
▶	38.6%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
✓	37.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))

Compiler

Compiled 228 to 158 computations (30.7% saved)

simplify221.0ms (2.5%)

Memory

-25.5MiB live, 86.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

3 120×	`lower-fma.f64`
3 120×	`lower-fma.f32`
1 584×	`div-sub`
1 392×	`lower-*.f32`
1 384×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	154
0	43	152
1	80	152
2	153	152
3	305	152
4	731	152
5	1879	152
6	4688	152
7	5872	152
8	6563	152
9	6866	152
10	6916	152
11	6938	152
12	7539	152
13	7808	152
14	7912	152
15	7912	152
16	7912	152
17	7920	152
0	7920	152

Stop Event

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

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

localize121.0ms (1.3%)

Memory

8.1MiB live, 207.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 z (+.f64 y x))
accuracy	0.0234375	(/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x)))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t))
accuracy	0.23828125	(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0	(+.f64 y x)
accuracy	0.15625	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
accuracy	21.395557938849695	#s(approx (- (+ y x) z) (+.f64 y x))
accuracy	0	(/.f64 y t)
accuracy	0.00390625	(*.f64 (/.f64 y t) #s(literal 1/2 binary64))
accuracy	41.09038082422556	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0.203125	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
accuracy	39.24577884812999	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
accuracy	0	(+.f64 y x)
accuracy	0.00390625	(-.f64 (+.f64 y x) z)
accuracy	0.02734375	(/.f64 t (-.f64 (+.f64 y x) z))
accuracy	0.18359375	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z)))

Samples

57.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 136 to 27 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 11.0ms (45.6% of total)

ival-mult: 7.0ms (29% of total)

ival-add: 3.0ms (12.4% of total)

ival-sub: 3.0ms (12.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series68.0ms (0.8%)

Memory

-31.5MiB live, 113.0MiB allocated

Counts

16 → 588

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

Calls

147 calls:

Time	Variable		Point	Expression
11.0ms	y	@	-inf	(/ y t)
3.0ms	x	@	inf	(/ t (- (+ y x) z))
1.0ms	x	@	0	(* (/ -2 (- z (+ y x))) t)
1.0ms	t	@	0	(* (/ -2 (- z (+ y x))) t)
1.0ms	t	@	0	(/ 1 (* (/ -2 (- z (+ y x))) t))

simplify360.0ms (4%)

Memory

25.6MiB live, 265.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 806×	`lower-fma.f64`
7 806×	`lower-fma.f32`
5 640×	`lower-*.f64`
5 640×	`lower-*.f32`
3 854×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	733	6340
1	2230	6189
2	6554	6131
0	8290	5932

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 572

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

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

rewrite248.0ms (2.8%)

Memory

17.6MiB live, 208.6MiB allocated

Rules

5 516×	`lower-/.f32`
5 504×	`lower-/.f64`
4 184×	`lower-*.f32`
4 176×	`lower-*.f64`
3 518×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	124
0	43	124
1	184	122
2	1254	122
0	8091	122

Stop Event

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

Counts

16 → 784

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

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

eval281.0ms (3.1%)

Memory: 4.0MiB live, 307.0MiB allocated
Compiler: Compiled 27 010 to 3 117 computations (88.5% saved)

prune259.0ms (2.9%)

Memory

-19.6MiB live, 517.8MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 486	2	1 488
Fresh	0	3	3
Picked	2	3	5
Done	0	4	4
Total	1 488	12	1 500

Accuracy

100.0%

Counts

1 500 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.9%	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
✓	69.3%	(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64)))
▶	69.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t))
▶	67.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))))
▶	69.4%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
✓	69.2%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
▶	37.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
✓	35.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))
✓	38.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
▶	35.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
✓	38.6%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
✓	37.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))

Compiler

Compiled 192 to 132 computations (31.3% saved)

simplify439.0ms (4.9%)

Memory

-5.3MiB live, 103.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- z (+ y x)) (-.f64 z x))
cost-diff	0	(/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x)))
cost-diff	0	(*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t))
cost-diff	0	(-.f64 y z)
cost-diff	0	#s(approx (- (+ y x) z) (-.f64 y z))
cost-diff	0	(/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) z)
cost-diff	0	(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
cost-diff	0	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
cost-diff	0	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
cost-diff	0	(-.f64 x z)
cost-diff	0	#s(approx (- (+ y x) z) (-.f64 x z))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))

Rules

3 872×	`lower-fma.f64`
3 872×	`lower-fma.f32`
1 744×	`lower-*.f32`
1 736×	`lower-*.f64`
1 388×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	180
0	47	180
1	86	178
2	142	178
3	219	178
4	409	178
5	848	178
6	1810	178
7	3116	178
8	4000	178
9	5306	178
10	6297	178
11	6528	178
12	6612	178
13	7423	178
14	7742	178
15	7860	178
16	7860	178
17	7868	178
18	7868	178
19	7936	178
0	8004	178

Stop Event

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

Calls

Call 1

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

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

localize93.0ms (1%)

Memory

34.9MiB live, 150.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x)))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t))
accuracy	0.23828125	(*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)
accuracy	21.178146288006314	#s(approx (- z (+ y x)) (-.f64 z x))
accuracy	0	(-.f64 y z)
accuracy	0.02734375	(/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))
accuracy	0.18359375	(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))))
accuracy	21.28866313329101	#s(approx (- (+ y x) z) (-.f64 y z))
accuracy	0	(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
accuracy	0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	40.034281542551376	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0.19921875	(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
accuracy	41.09038082422556	#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	(-.f64 x z)
accuracy	0.15625	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
accuracy	21.178146288006314	#s(approx (- (+ y x) z) (-.f64 x z))

Samples

46.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 134 to 31 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 11.0ms (36.1% of total)

ival-sub: 9.0ms (29.5% of total)

ival-mult: 7.0ms (23% of total)

ival-add: 2.0ms (6.6% of total)

exact: 1.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

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

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

series25.0ms (0.3%)

Memory

10.4MiB live, 46.8MiB allocated

Counts

17 → 600

Calls

Call 1

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

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

Calls

150 calls:

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

simplify231.0ms (2.6%)

Memory

3.7MiB live, 279.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 014×	`lower-fma.f64`
8 014×	`lower-fma.f32`
5 768×	`lower-*.f64`
5 768×	`lower-*.f32`
3 936×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	749	6442
1	2274	6279
2	6714	6221
0	8505	6034

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 584

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

rewrite202.0ms (2.2%)

Memory

-4.6MiB live, 263.1MiB allocated

Rules

5 704×	`lower-/.f32`
5 692×	`lower-/.f64`
3 874×	`lower-*.f32`
3 866×	`lower-*.f64`
3 288×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	155
0	47	155
1	210	153
2	1446	153
0	8521	153

Stop Event

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

Counts

17 → 323

Calls

Call 1

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

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

eval168.0ms (1.9%)

Memory: -2.2MiB live, 198.0MiB allocated
Compiler: Compiled 12 688 to 1 465 computations (88.5% saved)

prune205.0ms (2.3%)

Memory

3.0MiB live, 292.8MiB allocated

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	936	0	936
Fresh	0	0	0
Picked	0	5	5
Done	0	7	7
Total	936	12	948

Accuracy

100.0%

Counts

948 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.9%	(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))
✓	69.3%	(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64)))
✓	69.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t))
✓	67.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))))
✓	69.4%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
✓	69.2%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
✓	37.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
✓	35.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))
✓	38.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
✓	35.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
✓	38.6%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
✓	37.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))

Compiler

Compiled 277 to 140 computations (49.5% saved)

regimes55.0ms (0.6%)

Memory

-17.2MiB live, 102.5MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

8 calls:

10.0ms	(*.f64 t #s(literal 2 binary64))
8.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
7.0ms	y
6.0ms	t
6.0ms	z

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)

regimes39.0ms (0.4%)

Memory

25.7MiB live, 63.6MiB 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 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
(*.f64 (/.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))

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`t`
99.8%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
99.8%	1	`(-.f64 (+.f64 x y) z)`
99.8%	1	`(+.f64 x y)`
99.8%	1	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes40.0ms (0.4%)

Memory

-6.1MiB live, 40.2MiB allocated

Counts

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

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

Results

Accuracy	Segments	Branch
93.8%	2	`x`
89.4%	2	`y`
89.8%	3	`z`
81.6%	6	`t`
98.1%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
98.1%	2	`(-.f64 (+.f64 x y) z)`
98.7%	2	`(+.f64 x y)`
81.6%	6	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes32.0ms (0.4%)

Memory

-7.8MiB live, 30.5MiB 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 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
(*.f64 (/.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

5 calls:

16.0ms	(+.f64 x y)
4.0ms	(-.f64 (+.f64 x y) z)
4.0ms	y
4.0ms	x
4.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
87.6%	2	`y`
79.3%	2	`x`
86.1%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
86.1%	2	`(-.f64 (+.f64 x y) z)`
88.3%	2	`(+.f64 x y)`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes4.0ms (0%)

Memory

6.1MiB live, 6.1MiB 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 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
(*.f64 (/.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:

4.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
88.2%	2	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.2%)

Memory

-24.7MiB live, 13.1MiB 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 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
(*.f64 (/.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)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))

Calls

2 calls:

11.0ms	z
3.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
87.8%	3	`z`
88.2%	2	`(+.f64 x y)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes19.0ms (0.2%)

Memory

3.6MiB live, 39.8MiB allocated

Counts

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

Outputs

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

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

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

Calls

5 calls:

5.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
3.0ms	(+.f64 x y)
3.0ms	(-.f64 (+.f64 x y) z)
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
69.2%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
69.2%	1	`(-.f64 (+.f64 x y) z)`
82.3%	3	`z`
72.5%	3	`y`
80.5%	3	`(+.f64 x y)`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes9.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB 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 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.4%	3	`(+.f64 x y)`
69.7%	3	`x`
58.6%	3	`z`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB 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 x t) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))

Outputs

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
79.3%	3	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB 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 x t) #s(literal 1/2 binary64)))

Outputs

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
79.3%	3	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

-39.8MiB live, 4.2MiB 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:

4.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
79.2%	3	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory

24.6MiB live, 24.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
60.0%	2	`x`
52.6%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
53.7%	2	`(-.f64 (+.f64 x y) z)`
47.4%	2	`y`
48.9%	5	`t`
48.9%	5	`(*.f64 t #s(literal 2 binary64))`
60.8%	2	`(+.f64 x y)`

Compiler

Compiled 51 to 38 computations (25.5% saved)

regimes12.0ms (0.1%)

Memory

-3.9MiB live, 34.3MiB 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:

2.0ms	z
1.0ms	(-.f64 (+.f64 x y) z)
1.0ms	(*.f64 t #s(literal 2 binary64))
1.0ms	x
1.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
37.4%	1	`t`
37.4%	1	`(*.f64 t #s(literal 2 binary64))`
37.4%	1	`y`
37.4%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
37.4%	1	`(-.f64 (+.f64 x y) z)`
37.4%	1	`z`
37.4%	1	`x`
37.4%	1	`(+.f64 x y)`

Compiler

Compiled 56 to 42 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.2164906527453764e-248	-7.341566592773408e-255

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.713377224781608e+21	7.979865435965379e+24

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.713377224781608e+21	7.979865435965379e+24

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.713377224781608e+21	7.979865435965379e+24

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch12.0ms (0.1%)

Memory

-18.4MiB live, 19.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.3135265285130692e+42	4.818129630673477e+44
0.0ms	-3.206538246160494e+159	-3.1388575031722505e+159

Samples

6.0ms

112×

valid

Compiler

Compiled 184 to 135 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (36.7% of total)

ival-add: 1.0ms (36.7% of total)

ival-mult: 1.0ms (36.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.713377224781608e+21	7.979865435965379e+24
0.0ms	-1.951270901589024e+22	-8065951479442.693

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.713377224781608e+21	7.979865435965379e+24
0.0ms	-1.951270901589024e+22	-8065951479442.693

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.713377224781608e+21	7.979865435965379e+24
0.0ms	-1.951270901589024e+22	-8065951479442.693

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.713377224781608e+21	7.979865435965379e+24
0.0ms	-1.951270901589024e+22	-8065951479442.693

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.951270901589024e+22	-8065951479442.693

Compiler

Compiled 16 to 16 computations (0% saved)

simplify9.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	476
1	90	476
2	97	476
3	99	476
4	100	476

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 -5038209258419659/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 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 10000000000000000000000 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 10000000000000000000000 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 10000000000000000000000 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x))))
(if (<=.f64 z #s(literal -3199999999999999849194734516838752255918277849019458661730732407993150471654585186207862368109328344844393921967837837471518825970169670464340393207284558200832 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 480000000000000026496902242617961156660166656 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))))
(if (<=.f64 (+.f64 x y) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 10000000000000000000000 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 t) #s(literal 1/2 binary64)))))
(if (<=.f64 (+.f64 x y) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 10000000000000000000000 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 y t) #s(literal 1/2 binary64)))))
(if (<=.f64 (+.f64 x y) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -10000000000000000000000 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 -5038209258419659/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 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 -5038209258419659/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 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 10000000000000000000000 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 10000000000000000000000 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 10000000000000000000000 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 10000000000000000000000 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 10000000000000000000000 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x))))
(if (<=.f64 (+.f64 y x) #s(literal 10000000000000000000000 binary64)) (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)) (.f64 #s(approx (- (+ y x) z) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) t)))
(if (<=.f64 z #s(literal -3199999999999999849194734516838752255918277849019458661730732407993150471654585186207862368109328344844393921967837837471518825970169670464340393207284558200832 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 480000000000000026496902242617961156660166656 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))))
(if (<=.f64 z #s(literal -3199999999999999849194734516838752255918277849019458661730732407993150471654585186207862368109328344844393921967837837471518825970169670464340393207284558200832 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 480000000000000026496902242617961156660166656 binary64)) (.f64 #s(approx (- (+ y x) z) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))))
(if (<=.f64 (+.f64 x y) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 10000000000000000000000 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 t) #s(literal 1/2 binary64)))))
(if (<=.f64 (+.f64 y x) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 y x) #s(literal 10000000000000000000000 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 t) #s(literal 1/2 binary64)))))
(if (<=.f64 (+.f64 x y) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 10000000000000000000000 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 y t) #s(literal 1/2 binary64)))))
(if (<=.f64 (+.f64 y x) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 y x) #s(literal 10000000000000000000000 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 y t) #s(literal 1/2 binary64)))))
(if (<=.f64 (+.f64 x y) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 10000000000000000000000 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 -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 y x) #s(literal 10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 10000000000000000000000 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 -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 y x) #s(literal 10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))
(if (<=.f64 (+.f64 y x) #s(literal -10000000000000000000000 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))

soundness1.2s (13.9%)

Memory

-16.7MiB live, 778.8MiB allocated

Rules

7 812×	`lower-fma.f64`
7 812×	`lower-fma.f32`
7 612×	`lower-fma.f64`
7 612×	`lower-fma.f32`
5 534×	`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
0	117	3069
1	354	3069
2	1000	3069
3	3171	3069
4	7303	3069
0	8432	3069
0	103	728
1	314	728
2	876	728
3	2929	650
4	7509	650
0	8709	650
0	28	119
0	41	119
1	161	119
2	1078	119
0	8427	119

Stop Event

1×	done
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×	node limit
1×	iter limit

Compiler

Compiled 736 to 355 computations (51.8% saved)

preprocess113.0ms (1.3%)

Memory

16.3MiB live, 171.6MiB allocated

Remove

(sort x y)

(negabs t)

Compiler

Compiled 746 to 234 computations (68.6% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze200.0ms (2.2%)

sample1.4s (15.1%)

explain207.0ms (2.3%)

preprocess216.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify160.0ms (1.8%)

localize25.0ms (0.3%)

series11.0ms (0.1%)

simplify145.0ms (1.6%)

rewrite220.0ms (2.4%)

eval238.0ms (2.6%)

prune276.0ms (3.1%)

simplify219.0ms (2.4%)

localize276.0ms (3.1%)

series24.0ms (0.3%)

simplify176.0ms (2%)

rewrite266.0ms (3%)

eval167.0ms (1.9%)

prune257.0ms (2.9%)

simplify221.0ms (2.5%)

localize121.0ms (1.3%)

series68.0ms (0.8%)

simplify360.0ms (4%)

rewrite248.0ms (2.8%)

eval281.0ms (3.1%)

prune259.0ms (2.9%)

simplify439.0ms (4.9%)

localize93.0ms (1%)

series25.0ms (0.3%)

simplify231.0ms (2.6%)

rewrite202.0ms (2.2%)

eval168.0ms (1.9%)

prune205.0ms (2.3%)

regimes55.0ms (0.6%)

regimes39.0ms (0.4%)

regimes40.0ms (0.4%)

regimes32.0ms (0.4%)

regimes4.0ms (0%)

regimes15.0ms (0.2%)

regimes19.0ms (0.2%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.2s (13.9%)

preprocess113.0ms (1.3%)

end0.0ms (0%)

Profiling