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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze195.0ms (2.1%)

Memory

1.4MiB live, 128.4MiB 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)

sample1.5s (15.9%)

Memory

30.0MiB live, 921.3MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 505.0ms

ival-sub: 214.0ms (42.4% of total)

ival-div: 118.0ms (23.4% of total)

ival-add: 111.0ms (22% of total)

ival-mult: 48.0ms (9.5% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain78.0ms (0.8%)

Memory

-1.9MiB live, 202.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

29.0ms	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: 13.0ms

ival-div: 3.0ms (23.5% of total)

ival-add: 3.0ms (23.5% of total)

ival-mult: 3.0ms (23.5% of total)

ival-sub: 2.0ms (15.7% 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)

preprocess220.0ms (2.4%)

Memory

7.1MiB live, 124.1MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify173.0ms (1.9%)

Memory

-20.6MiB live, 89.8MiB 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)

localize47.0ms (0.5%)

Memory

-0.7MiB live, 38.7MiB 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

42.0ms	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 (33.3% of total)

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

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

ival-mult: 1.0ms (16.7% 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)

series32.0ms (0.3%)

Memory

-13.1MiB live, 26.2MiB allocated

Counts

4 → 120

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	y	@	inf	((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2))
1.0ms	t	@	0	((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2))
1.0ms	z	@	-inf	((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2))
1.0ms	t	@	-inf	((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2))
1.0ms	t	@	inf	((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2))

simplify187.0ms (2%)

Memory

18.3MiB live, 219.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 110

Calls

Call 1

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

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

rewrite288.0ms (3.1%)

Memory

-5.6MiB live, 312.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 505

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (+.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)))))
(/.f64 (.f64 (.f64 (-.f64 (+.f64 y x) z) (-.f64 x (-.f64 y z))) (/.f64 #s(literal 1/2 binary64) t)) (-.f64 x (-.f64 y z)))
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eval301.0ms (3.3%)

Memory: 6.4MiB live, 162.9MiB allocated
Compiler: Compiled 15 811 to 1 456 computations (90.8% saved)

prune377.0ms (4.1%)

Memory

-11.3MiB live, 226.7MiB 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 y x)) (*.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))
▶	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 236 to 164 computations (30.5% saved)

simplify187.0ms (2%)

Memory

-2.6MiB live, 76.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (0.7%)

Memory

12.9MiB live, 46.9MiB 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 y x)
accuracy	0	(*.f64 t #s(literal 2 binary64))
accuracy	0.015625	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
accuracy	21.395557938849695	#s(approx (- (+ x y) z) (+.f64 y x))
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	0.1875	(*.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

53.0ms	255×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 115 to 21 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (34.6% of total)

ival-div: 5.0ms (28.9% of total)

ival-sub: 3.0ms (17.3% of total)

ival-add: 2.0ms (11.5% 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)

series117.0ms (1.3%)

Memory

-6.4MiB live, 28.9MiB allocated

Counts

15 → 480

Calls

Call 1

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

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

Calls

12 calls:

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

simplify311.0ms (3.4%)

Memory

17.2MiB live, 139.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 459

Calls

Call 1

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

rewrite208.0ms (2.2%)

Memory

11.0MiB live, 241.2MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

15 → 803

Calls

Call 1

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

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

eval190.0ms (2.1%)

Memory: -27.3MiB live, 415.6MiB allocated
Compiler: Compiled 21 815 to 2 042 computations (90.6% saved)

prune180.0ms (1.9%)

Memory

29.0MiB live, 426.4MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1 378	4	1 382
Fresh	2	3	5
Picked	1	4	5
Done	0	0	0
Total	1 381	11	1 392

Accuracy

100.0%

Counts

1 392 → 11

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 y x)) (*.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)))
▶	35.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
▶	37.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
✓	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 208 to 144 computations (30.8% saved)

simplify134.0ms (1.4%)

Memory

5.2MiB live, 83.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

3 072×	`lower-fma.f64`
3 072×	`lower-fma.f32`
1 484×	`div-sub`
1 344×	`lower-*.f32`
1 336×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	139
0	39	139
1	67	139
2	120	139
3	211	139
4	367	139
5	620	139
6	1172	139
7	2489	139
8	4219	139
9	5802	139
10	7340	139
11	7445	139
12	7486	139
13	7512	139
14	7840	139
0	8013	139

Stop Event

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

Calls

Call 1

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

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

localize125.0ms (1.4%)

Memory

-41.2MiB live, 132.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0	(+.f64 y x)
accuracy	0.15625	(*.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 (*.f64 y #s(literal 1/2 binary64)) t)
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	41.09038082422556	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
accuracy	0	(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
accuracy	0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	40.034281542551376	#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	0.203125	(*.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

59.0ms	255×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 115 to 24 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 32.0ms (72.9% of total)

ival-mult: 7.0ms (15.9% of total)

ival-add: 3.0ms (6.8% of total)

ival-sub: 2.0ms (4.6% 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)

series39.0ms (0.4%)

Memory

14.7MiB live, 91.9MiB allocated

Counts

15 → 492

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

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

Calls

12 calls:

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

simplify197.0ms (2.1%)

Memory

4.6MiB live, 231.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 436×	`lower-fma.f64`
11 436×	`lower-fma.f32`
6 194×	`lower-*.f64`
6 194×	`lower-*.f32`
3 158×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	4556
1	906	4506
2	2648	4399
0	8231	4289

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 478

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

rewrite305.0ms (3.3%)

Memory

10.9MiB live, 293.0MiB allocated

Rules

6 112×	`lower-fma.f64`
6 112×	`lower-fma.f32`
5 762×	`lower-*.f32`
5 754×	`lower-*.f64`
4 662×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	115
0	39	115
1	153	115
2	986	115
0	8866	115

Stop Event

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

Counts

15 → 984

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

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

eval199.0ms (2.1%)

Memory: 34.7MiB live, 338.8MiB allocated
Compiler: Compiled 26 774 to 2 739 computations (89.8% saved)

prune467.0ms (5%)

Memory

-31.0MiB live, 421.9MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1 560	2	1 562
Fresh	0	2	2
Picked	1	4	5
Done	0	4	4
Total	1 561	12	1 573

Accuracy

100.0%

Counts

1 573 → 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 y x)) (*.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))
▶	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)))
✓	35.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
▶	38.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t))
✓	37.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
✓	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 135 to 93 computations (31.1% saved)

simplify242.0ms (2.6%)

Memory

18.3MiB live, 91.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 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 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 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)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (*.f64 x #s(literal 1/2 binary64)) t)
cost-diff	0	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t))

Rules

4 880×	`lower-fma.f64`
4 880×	`lower-fma.f32`
1 760×	`lower-*.f32`
1 754×	`lower-*.f64`
1 574×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	139
0	43	139
1	76	137
2	129	137
3	226	137
4	586	137
5	1525	137
6	4171	137
7	5294	137
8	6120	137
9	6535	137
10	6636	137
11	6680	137
12	7336	137
13	7644	137
14	7778	137
15	7778	137
16	7778	137
17	7857	137
0	8005	137

Stop Event

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

Calls

Call 1

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

localize95.0ms (1%)

Memory

-12.8MiB live, 142.5MiB allocated

Localize:

Found 15 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 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 #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))
accuracy	0	(/.f64 (*.f64 x #s(literal 1/2 binary64)) t)
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	39.24577884812999	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t))

Samples

78.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 115 to 28 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 29.0ms (47.8% of total)

ival-mult: 23.0ms (37.9% of total)

ival-sub: 6.0ms (9.9% of total)

ival-add: 3.0ms (4.9% 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 (0.7%)

Memory

-6.1MiB live, 69.3MiB allocated

Counts

15 → 528

Calls

Call 1

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

12 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	((/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (- x z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (- y z) (/ 1 (* (/ -2 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)))
2.0ms	t	@	0	((/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (- x z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (- y z) (/ 1 (* (/ -2 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)))
2.0ms	x	@	inf	((/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (- x z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (- y z) (/ 1 (* (/ -2 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)))
2.0ms	t	@	inf	((/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (- x z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (- y z) (/ 1 (* (/ -2 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)))
2.0ms	y	@	0	((/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (- x z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (- y z) (/ 1 (* (/ -2 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)))

simplify199.0ms (2.2%)

Memory

18.5MiB live, 243.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 004×	`lower-fma.f64`
8 004×	`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	5767
1	2274	5604
2	6705	5546
0	8496	5380

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 512

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

rewrite166.0ms (1.8%)

Memory

26.7MiB live, 297.6MiB allocated

Rules

5 682×	`lower-/.f32`
5 670×	`lower-/.f64`
3 810×	`lower-*.f32`
3 804×	`lower-*.f64`
3 002×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	119
0	43	119
1	193	117
2	1347	117
0	8299	117

Stop Event

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

Counts

15 → 381

Calls

Call 1

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

eval444.0ms (4.8%)

Memory: -5.0MiB live, 221.9MiB allocated
Compiler: Compiled 14 286 to 1 811 computations (87.3% saved)

prune223.0ms (2.4%)

Memory

-32.9MiB live, 284.3MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	892	1	893
Fresh	0	0	0
Picked	1	3	4
Done	0	8	8
Total	893	12	905

Accuracy

100.0%

Counts

905 → 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 y x)) (*.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)))
✓	35.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
✓	38.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t))
✓	37.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
✓	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)

regimes61.0ms (0.7%)

Memory

-5.2MiB live, 75.8MiB allocated

Counts

18 → 1

Calls

Call 1

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

16.0ms	x
7.0ms	(-.f64 (+.f64 x y) z)
6.0ms	(*.f64 t #s(literal 2 binary64))
6.0ms	t
6.0ms	(+.f64 x y)

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)

regimes56.0ms (0.6%)

Memory

18.2MiB live, 56.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

8 calls:

21.0ms	z
5.0ms	(*.f64 t #s(literal 2 binary64))
5.0ms	t
5.0ms	(-.f64 (+.f64 x y) z)
5.0ms	y

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)

regimes41.0ms (0.4%)

Memory

13.5MiB live, 50.2MiB 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 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))

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

Calls

8 calls:

8.0ms	(-.f64 (+.f64 x y) z)
5.0ms	(*.f64 t #s(literal 2 binary64))
5.0ms	x
5.0ms	t
4.0ms	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)

regimes41.0ms (0.4%)

Memory

9.7MiB live, 46.1MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

5 calls:

23.0ms	(-.f64 (+.f64 x y) z)
4.0ms	(+.f64 x y)
4.0ms	x
4.0ms	y
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)

regimes9.0ms (0.1%)

Memory

-38.1MiB live, 6.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

Calls

1 calls:

8.0ms

(+.f64 x y)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

4.0ms	z
4.0ms	(+.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)

regimes20.0ms (0.2%)

Memory

-7.8MiB live, 29.1MiB 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 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (+.f64 y x)))

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:

6.0ms	(-.f64 (+.f64 x y) z)
3.0ms	y
3.0ms	(+.f64 x y)
3.0ms	z
3.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

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)

regimes10.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

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

5.0MiB live, 5.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.2%)

Memory

-10.6MiB live, 26.0MiB 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	x
2.0ms	(-.f64 (+.f64 x y) z)

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)

regimes32.0ms (0.4%)

Memory

-16.7MiB live, 22.3MiB 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:

23.0ms	t
1.0ms	x
1.0ms	(*.f64 t #s(literal 2 binary64))
1.0ms	z
1.0ms	(-.f64 (+.f64 x y) z)

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

0.8MiB live, 0.8MiB 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

0.2MiB live, 0.2MiB 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

0.2MiB live, 0.2MiB 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)

bsearch11.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.3135265285130692e+42	4.818129630673477e+44
0.0ms	-3.206538246160494e+159	-3.1388575031722505e+159

Samples

5.0ms

112×

valid

Compiler

Compiled 184 to 135 computations (26.6% saved)

Precisions

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

ival-sub: 1.0ms (37.6% of total)

ival-div: 1.0ms (37.6% of total)

ival-add: 1.0ms (37.6% of total)

ival-mult: 1.0ms (37.6% 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

0.4MiB live, 0.4MiB 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

0.3MiB live, 0.3MiB 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

0.3MiB live, 0.3MiB 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

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

0.3MiB live, 0.3MiB 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

12.2MiB live, 12.2MiB 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	91	476
2	98	476
3	100	476
4	101	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 y x)) (.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 y x)) (.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 #s(literal 1/2 binary64)) t)) (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 #s(literal 1/2 binary64)) t))))
(if (<=.f64 (+.f64 x y) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t)) (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 #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) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -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 y x)) (.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 y x)) (.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 #s(literal 1/2 binary64)) t)) (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 #s(literal 1/2 binary64)) t))))
(if (<=.f64 (+.f64 y x) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (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 #s(literal 1/2 binary64) y) t))))
(if (<=.f64 (+.f64 x y) #s(literal -10000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t)) (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 #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) x) t)) (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 #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) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 y x) #s(literal -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) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -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))

soundness1.3s (13.8%)

Memory

4.7MiB live, 919.7MiB allocated

Rules

7 812×	`lower-fma.f64`
7 812×	`lower-fma.f32`
7 612×	`lower-fma.f64`
7 612×	`lower-fma.f32`
6 112×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	650
1	314	650
2	876	650
3	2929	650
4	7535	650
0	8737	650
0	9	20
0	13	20
1	57	20
2	473	20
3	7793	20
0	8232	20
0	26	113
0	37	113
1	152	113
2	1053	113
0	8285	113
0	28	115
0	39	115
1	153	115
2	986	115
0	8866	115
0	117	2937
1	354	2937
2	998	2937
3	3173	2937
4	7305	2937
0	8442	2937

Stop Event

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

Compiler

Compiled 750 to 362 computations (51.7% saved)

preprocess115.0ms (1.2%)

Memory

6.8MiB live, 125.7MiB allocated

Remove

(sort x y)

(negabs t)

Compiler

Compiled 746 to 234 computations (68.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze195.0ms (2.1%)

sample1.5s (15.9%)

explain78.0ms (0.8%)

preprocess220.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify173.0ms (1.9%)

localize47.0ms (0.5%)

series32.0ms (0.3%)

simplify187.0ms (2%)

rewrite288.0ms (3.1%)

eval301.0ms (3.3%)

prune377.0ms (4.1%)

simplify187.0ms (2%)

localize67.0ms (0.7%)

series117.0ms (1.3%)

simplify311.0ms (3.4%)

rewrite208.0ms (2.2%)

eval190.0ms (2.1%)

prune180.0ms (1.9%)

simplify134.0ms (1.4%)

localize125.0ms (1.4%)

series39.0ms (0.4%)

simplify197.0ms (2.1%)

rewrite305.0ms (3.3%)

eval199.0ms (2.1%)

prune467.0ms (5%)

simplify242.0ms (2.6%)

localize95.0ms (1%)

series68.0ms (0.7%)

simplify199.0ms (2.2%)

rewrite166.0ms (1.8%)

eval444.0ms (4.8%)

prune223.0ms (2.4%)

regimes61.0ms (0.7%)

regimes56.0ms (0.6%)

regimes41.0ms (0.4%)

regimes41.0ms (0.4%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes20.0ms (0.2%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes16.0ms (0.2%)

regimes32.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.3s (13.8%)

preprocess115.0ms (1.2%)

end0.0ms (0%)

Profiling