Metrics for Graphics.Rasterific.Shading:$sgradientColorAt from Rasterific-0.6.1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze35.0ms (0.5%)

Memory

16.9MiB live, 55.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample880.0ms (12%)

Memory

-11.0MiB live, 457.2MiB allocated

Samples

524.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-sub: 88.0ms (59.2% of total)

ival-div: 52.0ms (35% of total)

ival-true: 6.0ms (4% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

explain86.0ms (1.2%)

Memory

12.4MiB live, 50.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 x y)`
-	-	`z`
-	-	`(/.f64 (-.f64 x y) (-.f64 z y))`
-	-	`x`
-	-	`(-.f64 z y)`

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

58.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sub: 41.0ms (91% of total)

ival-div: 3.0ms (6.7% of total)

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

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

preprocess95.0ms (1.3%)

Memory

-16.9MiB live, 26.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	74
1	80	68
2	195	66
3	547	64
4	1322	64
5	2221	64
6	2379	64
7	2485	64
8	2561	64
9	2578	64
10	2578	64
0	6	7
0	9	7
1	15	7
2	23	7
3	39	7
4	74	7
5	149	7
6	356	7
7	593	7
8	747	7
9	763	7
10	764	7
0	764	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 z y))

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify19.0ms (0.3%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 z y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (-.f64 z y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	15	16
2	23	16
3	39	16
4	74	16
5	149	16
6	356	16
7	593	16
8	747	16
9	763	16
10	764	16
0	764	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 z y))
(-.f64 x y)
x
y
(-.f64 z y)
z

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

localize67.0ms (0.9%)

Memory

-19.6MiB live, 17.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0	(-.f64 x y)
accuracy	0.03125	(/.f64 (-.f64 x y) (-.f64 z y))

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 3.0ms (69.2% of total)

ival-div: 2.0ms (46.1% of total)

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

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

series8.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 84

Calls

Call 1

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

Inputs

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

#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())

#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())

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

Calls

9 calls:

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

simplify237.0ms (3.2%)

Memory

9.6MiB live, 202.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	833
1	575	775
2	1803	709
3	7844	707
0	8464	681

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 78

Calls

Call 1

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

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

rewrite252.0ms (3.4%)

Memory

2.2MiB live, 201.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	46	13
2	368	13
3	5378	13
0	8274	13

Stop Event

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

Counts

3 → 494

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 z y))
(-.f64 x y)
(-.f64 z y)

Outputs
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eval159.0ms (2.2%)

Memory: -14.1MiB live, 231.0MiB allocated
Compiler: Compiled 12 256 to 1 433 computations (88.3% saved)

prune17.0ms (0.2%)

Memory

28.2MiB live, 65.3MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	561	11	572
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	561	12	573

Accuracy

100.0%

Counts

573 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 z y))
	86.3%	(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 z y))
	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 y x)))
▶	100.0%	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
	49.2%	#s(approx (/ (- x y) (- z y)) (/.f64 (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)) z))
	52.3%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
▶	52.6%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
	54.3%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
▶	52.3%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
	39.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
▶	51.9%	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64)))
▶	36.5%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 173 to 154 computations (11% saved)

simplify49.0ms (0.7%)

Memory

9.0MiB live, 47.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	119
0	29	115
1	46	115
2	68	115
3	118	115
4	219	115
5	493	115
6	1044	115
7	1418	115
8	1505	115
9	1543	115
10	1549	115
0	1549	115

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (0.8%)

Memory

-34.7MiB live, 126.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64))
accuracy	0	(-.f64 z x)
accuracy	0.00390625	(/.f64 (-.f64 z x) y)
accuracy	30.771536655405416	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64)))
accuracy	0	(-.f64 x y)
accuracy	0.01171875	(/.f64 (-.f64 x y) z)
accuracy	30.316110928360736	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
accuracy	0	(-.f64 z y)
accuracy	0.00390625	(/.f64 x (-.f64 z y))
accuracy	30.539078416844855	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
accuracy	40.614430792671975	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))
accuracy	0	(-.f64 z y)
accuracy	0.00390625	(/.f64 x (-.f64 z y))
accuracy	0.01171875	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
accuracy	0.015625	(/.f64 y (-.f64 z y))

Samples

37.0ms

256×

valid

Compiler

Compiled 99 to 17 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sub: 10.0ms (50.7% of total)

ival-div: 9.0ms (45.6% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.5%)

Memory

-2.2MiB live, 79.7MiB allocated

Counts

13 → 420

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((- (/ x (- z y)) (/ y (- z y))) (/ x (- z y)) (- z y) (/ y (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
5.0ms	x	@	inf	((- (/ x (- z y)) (/ y (- z y))) (/ x (- z y)) (- z y) (/ y (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
3.0ms	z	@	-inf	((- (/ x (- z y)) (/ y (- z y))) (/ x (- z y)) (- z y) (/ y (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
3.0ms	z	@	inf	((- (/ x (- z y)) (/ y (- z y))) (/ x (- z y)) (- z y) (/ y (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
3.0ms	z	@	0	((- (/ x (- z y)) (/ y (- z y))) (/ x (- z y)) (- z y) (/ y (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))

simplify206.0ms (2.8%)

Memory

13.1MiB live, 256.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	558	5268
1	1746	4903
2	5390	4735
0	8369	4566

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 411

Calls

Call 1

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

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

rewrite150.0ms (2%)

Memory

3.3MiB live, 283.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	97
0	29	93
1	133	93
2	1192	93
0	8251	93

Stop Event

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

Counts

13 → 499

Calls

Call 1

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

Outputs
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eval225.0ms (3.1%)

Memory: 12.2MiB live, 364.1MiB allocated
Compiler: Compiled 19 974 to 2 455 computations (87.7% saved)

prune114.0ms (1.5%)

Memory

5.3MiB live, 88.5MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 073	9	1 082
Fresh	2	4	6
Picked	2	3	5
Done	0	1	1
Total	1 077	17	1 094

Accuracy

100.0%

Counts

1 094 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 z y))
▶	86.3%	(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 z y))
▶	71.3%	(-.f64 #s(approx (/ x (- z y)) (/.f64 x z)) (/.f64 y (-.f64 z y)))
	49.2%	#s(approx (/ (- x y) (- z y)) (/.f64 (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)) z))
✓	52.6%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
	51.4%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) z))
▶	20.9%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
▶	54.3%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	52.3%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
	18.4%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
	39.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
	52.5%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))
	52.6%	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z)))
	35.9%	#s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)))
▶	2.8%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
	52.3%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
✓	36.5%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 227 to 217 computations (4.4% saved)

simplify281.0ms (3.8%)

Memory

-9.4MiB live, 109.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (-.f64 z y))
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (/ x (- z y)) (/.f64 x z))
cost-diff	0	(-.f64 #s(approx (/ x (- z y)) (/.f64 x z)) (/.f64 y (-.f64 z y)))
cost-diff	0	(-.f64 y z)
cost-diff	0	(/.f64 y (-.f64 y z))
cost-diff	0	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- x y) (neg.f64 y)) z)
cost-diff	0	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (- (/ (- z x) y) -1) (/.f64 z y))
cost-diff	0	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
cost-diff	0	(/.f64 y (neg.f64 x))
cost-diff	0	#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))
cost-diff	0	(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 z y))
cost-diff	1024	(fma.f64 (/.f64 y (neg.f64 x)) x x)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	175
0	46	175
1	72	175
2	123	163
3	237	163
4	509	163
5	2167	163
6	5008	163
7	7112	163
8	7883	163
0	8019	163

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 z y))
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(/.f64 y (neg.f64 x))
y
(neg.f64 x)
x
(-.f64 z y)
z
#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
#s(approx (- (/ (- z x) y) -1) (/.f64 z y))
(/.f64 z y)
z
y
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
(/.f64 #s(approx (- x y) (neg.f64 y)) z)
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
z
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
(/.f64 y (-.f64 y z))
y
(-.f64 y z)
z
(-.f64 #s(approx (/ x (- z y)) (/.f64 x z)) (/.f64 y (-.f64 z y)))
#s(approx (/ x (- z y)) (/.f64 x z))
(/.f64 x z)
x
z
(/.f64 y (-.f64 z y))
y
(-.f64 z y)

Outputs
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 z y))
(/.f64 #s(approx (- x y) (-.f64 x y)) (-.f64 z y))
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))
#s(approx (- x y) (-.f64 x y))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(-.f64 x y)
(/.f64 y (neg.f64 x))
y
(neg.f64 x)
x
(-.f64 z y)
z
#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
#s(approx (- (/ (- z x) y) -1) (/.f64 z y))
(/.f64 z y)
z
y
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
(/.f64 #s(approx (- x y) (neg.f64 y)) z)
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
z
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
(/.f64 y (-.f64 y z))
y
(-.f64 y z)
z
(-.f64 #s(approx (/ x (- z y)) (/.f64 x z)) (/.f64 y (-.f64 z y)))
#s(approx (/ x (- z y)) (/.f64 x z))
(/.f64 x z)
x
z
(/.f64 y (-.f64 z y))
y
(-.f64 z y)

localize65.0ms (0.9%)

Memory

0.2MiB live, 159.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.01171875	(-.f64 #s(approx (/ x (- z y)) (/.f64 x z)) (/.f64 y (-.f64 z y)))
accuracy	0.015625	(/.f64 y (-.f64 z y))
accuracy	29.151195659743326	#s(approx (/ x (- z y)) (/.f64 x z))
accuracy	0	(-.f64 y z)
accuracy	0.015625	(/.f64 y (-.f64 y z))
accuracy	29.241671940998582	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
accuracy	0	(neg.f64 y)
accuracy	0.01171875	(/.f64 #s(approx (- x y) (neg.f64 y)) z)
accuracy	30.316110928360736	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
accuracy	31.36514501384941	#s(approx (- x y) (neg.f64 y))
accuracy	0	(/.f64 z y)
accuracy	30.771536655405416	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
accuracy	40.973126928960475	#s(approx (- (/ (- z x) y) -1) (/.f64 z y))
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))
accuracy	0.03125	(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 z y))
accuracy	8.381357277997298	(fma.f64 (/.f64 y (neg.f64 x)) x x)

Samples

50.0ms

256×

valid

Compiler

Compiled 117 to 25 computations (78.6% saved)

Precisions

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

ival-div: 17.0ms (54.5% of total)

ival-sub: 7.0ms (22.5% of total)

ival-neg: 4.0ms (12.8% of total)

ival-mult: 2.0ms (6.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.5%)

Memory

9.1MiB live, 86.6MiB allocated

Counts

20 → 552

Calls

Call 1

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

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

Calls

9 calls:

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

simplify170.0ms (2.3%)

Memory

-27.4MiB live, 334.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	600	5723
1	1892	5412
2	5730	5260
0	8274	5076

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 537

Calls

Call 1

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

Outputs
(* -1 (/ (- x y) y))
(/.f64 (-.f64 y x) y)
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) z (/.f64 (-.f64 y x) y))
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2)))))
(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) y) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y)))) z (/.f64 (-.f64 y x) y))
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) y)) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 y x) y))
(* -1 (/ (- x y) y))
(/.f64 (-.f64 y x) y)
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) z (/.f64 (-.f64 y x) y))
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2)))))
(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) y) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y)))) z (/.f64 (-.f64 y x) y))
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(- 1 (/ x y))
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))
(- (+ 1 (/ z y)) (/ x y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))
(/ z y)
(/.f64 z y)
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(/ z y)
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(* -1 (/ (- x y) y))
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(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) z (/.f64 (-.f64 y x) y))
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(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) y) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y)))) z (/.f64 (-.f64 y x) y))
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) y)) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 y x) y))
(/ (- x y) z)
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(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(* -1 (/ (- x y) y))
(/.f64 (-.f64 y x) y)
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) z (/.f64 (-.f64 y x) y))
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2)))))
(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) y) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y)))) z (/.f64 (-.f64 y x) y))
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) y)) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 y x) y))
1
#s(literal 1 binary64)
(+ 1 (/ z y))
(+.f64 (/.f64 z y) #s(literal 1 binary64))
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(+.f64 (/.f64 (fma.f64 z (/.f64 z y) z) y) #s(literal 1 binary64))
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(+ 1 (+ (* -1 (/ x y)) (* z (- (/ 1 y) (/ x (pow y 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) z (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ 1 (+ (* -1 (/ x y)) (* z (- (+ (* z (- (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) (/ x (pow y 2))))))
(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) y) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y)))) z (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ 1 (+ (* -1 (/ x y)) (* z (- (+ (* z (- (+ (* z (- (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2))) (/ x (pow y 3)))) (/ 1 y)) (/ x (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) z (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) y)) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y)))) z (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))
(/.f64 (fma.f64 (/.f64 z y) x x) (neg.f64 y))
(+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))
(fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) x (/.f64 x (*.f64 y y)))) z (/.f64 (neg.f64 x) y))
(+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))
(fma.f64 (-.f64 (.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64))))) z) (/.f64 x (.f64 y y))) z (/.f64 (neg.f64 x) y))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
-1
#s(literal -1 binary64)
(- (* -1 (/ z y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 z y))
(- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) y))
(- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) y)) z #s(literal -1 binary64))
(* -1 y)
(neg.f64 y)
(- z y)
(-.f64 z y)
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(-.f64 z y)
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(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- (+ x (/ (* y (- x y)) z)) y) z)
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)) z)
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z)
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rewrite160.0ms (2.2%)

Memory

32.8MiB live, 266.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	160
0	46	160
1	197	160
2	1559	160
0	8324	160

Stop Event

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

Counts

20 → 371

Calls

Call 1

Inputs
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 z y))
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))
(/.f64 y (neg.f64 x))
#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
#s(approx (- (/ (- z x) y) -1) (/.f64 z y))
(/.f64 z y)
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
(/.f64 #s(approx (- x y) (neg.f64 y)) z)
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
(/.f64 y (-.f64 y z))
(-.f64 y z)
(-.f64 #s(approx (/ x (- z y)) (/.f64 x z)) (/.f64 y (-.f64 z y)))
#s(approx (/ x (- z y)) (/.f64 x z))
(/.f64 x z)
(/.f64 y (-.f64 z y))
(neg.f64 x)
(-.f64 z y)

Outputs
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eval148.0ms (2%)

Memory: -4.0MiB live, 274.6MiB allocated
Compiler: Compiled 15 796 to 1 952 computations (87.6% saved)

prune29.0ms (0.4%)

Memory

-10.8MiB live, 105.5MiB allocated

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	960	2	962
Fresh	2	6	8
Picked	1	4	5
Done	0	4	4
Total	963	16	979

Accuracy

100.0%

Counts

979 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 z y))
✓	71.3%	(-.f64 #s(approx (/ x (- z y)) (/.f64 x z)) (/.f64 y (-.f64 z y)))
▶	52.6%	(-.f64 #s(approx (/ x (- z y)) (/.f64 x z)) #s(approx (/ y (- z y)) (/.f64 y z)))
✓	52.6%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
▶	51.4%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) z))
✓	20.9%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
✓	54.3%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	52.3%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
	18.4%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
▶	39.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
▶	52.5%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))
	35.9%	#s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)))
	20.8%	#s(approx (/ (- x y) (- z y)) #s(approx (/ y (- y z)) (/.f64 (fma.f64 y (/.f64 y z) y) (neg.f64 z))))
✓	2.8%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
▶	52.3%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
✓	36.5%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 174 to 176 computations (-1.1% saved)

simplify142.0ms (1.9%)

Memory

-7.6MiB live, 113.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
cost-diff	0	(/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) z)
cost-diff	0	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) z))
cost-diff	1024	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 z (-.f64 x y))
cost-diff	0	#s(approx (/ (- x y) (- z y)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff	0	#s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
cost-diff	0	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
cost-diff	0	#s(approx (/ y (- z y)) (/.f64 y z))
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (/ x (- z y)) (/.f64 x z))
cost-diff	0	(-.f64 #s(approx (/ x (- z y)) (/.f64 x z)) #s(approx (/ y (- z y)) (/.f64 y z)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	205
0	45	201
1	66	201
2	109	197
3	211	197
4	471	185
5	926	185
6	2433	185
7	4686	185
8	6573	185
9	7257	185
10	7537	185
11	7584	185
12	7623	185
0	8221	185

Stop Event

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

Calls

Call 1

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

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

localize74.0ms (1%)

Memory

-0.1MiB live, 117.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
accuracy	0.01171875	(/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) z)
accuracy	8.389169777997298	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
accuracy	30.316110928360736	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) z))
accuracy	0	(-.f64 x y)
accuracy	0.01171875	(/.f64 z (-.f64 x y))
accuracy	0.19266378162065376	(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y)))
accuracy	30.316110928360736	#s(approx (/ (- x y) (- z y)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	21.170715345879778	#s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy	30.771536655405416	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
accuracy	0	(/.f64 x z)
accuracy	38.73753616323405	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
accuracy	0	(/.f64 x z)
accuracy	0.01171875	(-.f64 #s(approx (/ x (- z y)) (/.f64 x z)) #s(approx (/ y (- z y)) (/.f64 y z)))
accuracy	29.151195659743326	#s(approx (/ x (- z y)) (/.f64 x z))
accuracy	31.00838457389267	#s(approx (/ y (- z y)) (/.f64 y z))

Samples

55.0ms

256×

valid

Compiler

Compiled 129 to 26 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 17.0ms (62.3% of total)

ival-sub: 8.0ms (29.3% of total)

ival-mult: 2.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.5%)

Memory

12.1MiB live, 49.4MiB allocated

Counts

17 → 528

Calls

Call 1

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

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

Calls

9 calls:

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

simplify186.0ms (2.5%)

Memory

-7.9MiB live, 199.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	634	5906
1	1963	5572
2	5969	5394
0	8406	5196

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 519

Calls

Call 1

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

rewrite239.0ms (3.3%)

Memory

26.2MiB live, 179.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	175
0	45	175
1	196	171
2	1505	171
0	8338	171

Stop Event

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

Counts

17 → 345

Calls

Call 1

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

Outputs
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eval155.0ms (2.1%)

Memory: 1.7MiB live, 241.2MiB allocated
Compiler: Compiled 12 824 to 1 936 computations (84.9% saved)

prune63.0ms (0.9%)

Memory

-37.8MiB live, 101.3MiB allocated

Pruning

16 alts after pruning (3 fresh and 13 done)

	Pruned	Kept	Total
New	910	0	910
Fresh	0	3	3
Picked	0	5	5
Done	0	8	8
Total	910	16	926

Accuracy

100.0%

Counts

926 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 z y))
✓	71.3%	(-.f64 #s(approx (/ x (- z y)) (/.f64 x z)) (/.f64 y (-.f64 z y)))
✓	52.6%	(-.f64 #s(approx (/ x (- z y)) (/.f64 x z)) #s(approx (/ y (- z y)) (/.f64 y z)))
✓	52.6%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
✓	51.4%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) z))
✓	20.9%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
✓	54.3%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	52.3%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
	18.4%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
✓	39.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
✓	52.5%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))
	35.9%	#s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)))
	20.8%	#s(approx (/ (- x y) (- z y)) #s(approx (/ y (- y z)) (/.f64 (fma.f64 y (/.f64 y z) y) (neg.f64 z))))
✓	2.8%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
✓	52.3%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
✓	36.5%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 289 to 188 computations (34.9% saved)

regimes33.0ms (0.4%)

Memory

-2.5MiB live, 74.3MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	x
9.0ms	z
7.0ms	y
7.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes121.0ms (1.6%)

Memory

0.5MiB live, 39.3MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

4 calls:

102.0ms	x
6.0ms	y
6.0ms	z
6.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes18.0ms (0.2%)

Memory

32.7MiB live, 32.7MiB allocated

Counts

12 → 4

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
4.0ms	x
4.0ms	z
4.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Results

Accuracy	Segments	Branch
78.8%	3	`x`
79.3%	3	`y`
78.7%	3	`z`
99.0%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes14.0ms (0.2%)

Memory

-36.3MiB live, 8.2MiB allocated

Counts

11 → 4

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

Results

Accuracy	Segments	Branch
98.9%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))

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

Calls

1 calls:

3.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

Results

Accuracy	Segments	Branch
85.7%	3	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes12.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))

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

#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))

Calls

4 calls:

3.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Results

Accuracy	Segments	Branch
67.2%	3	`z`
54.4%	2	`x`
74.8%	3	`y`
74.8%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes33.0ms (0.4%)

Memory

-28.7MiB live, 8.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Results

Accuracy	Segments	Branch
72.5%	3	`(/.f64 (-.f64 x y) (-.f64 z y))`
65.0%	3	`y`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Accuracy

Total -21.9b remaining (-54%)

Threshold costs -21.9b (-54%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Calls

4 calls:

2.0ms	x
2.0ms	z
1.0ms	y
1.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Results

Accuracy	Segments	Branch
36.5%	1	`x`
36.5%	1	`y`
36.5%	1	`z`
36.5%	1	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000002944	109624432.91372998
0.0ms	0.03594979991689136	0.9916920525468914
0.0ms	-53.26310209657331	-0.03589400808771201

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000002944	109624432.91372998
0.0ms	0.03594979991689136	0.9916920525468914
0.0ms	-53.26310209657331	-0.03589400808771201

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000002944	109624432.91372998
0.0ms	0.03594979991689136	0.9916920525468914

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch934.0ms (12.7%)

Memory

-15.5MiB live, 23.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	9.53078457938928e-74	1.1544692978847234e-73
928.0ms	-7.876350659196061e-138	-5.0050799599169476e-160

Samples

923.0ms

224×

valid

Compiler

Compiled 164 to 222 computations (-35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 2.0ms (52.7% of total)

ival-div: 1.0ms (26.4% of total)

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

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

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000002944	109624432.91372998
0.0ms	0.03594979991689136	0.9916920525468914

Compiler

Compiled 10 to 12 computations (-20% saved)

simplify894.0ms (12.2%)

Memory

-5.5MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	380
1	66	380
2	87	380
3	102	380
4	123	380
5	155	380
6	206	380
7	267	380
8	326	380
9	392	380
10	440	380
11	482	380
12	513	380
13	525	380
14	527	380

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
(/.f64 (-.f64 x y) (-.f64 z y))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -50 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -50 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))
(if (<=.f64 y #s(literal -817038295730877/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) (if (<=.f64 y #s(literal 6747681671607985/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Outputs
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
(/.f64 (-.f64 x y) (-.f64 z y))
(/.f64 (-.f64 y x) (-.f64 y z))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -50 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -50 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -50 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -50 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))
(if (<=.f64 y #s(literal -817038295730877/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) (if (<=.f64 y #s(literal 6747681671607985/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

soundness749.0ms (10.2%)

Memory

24.7MiB live, 497.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	46	13
2	368	13
3	5378	13
0	8274	13
0	558	5268
1	1746	4903
2	5390	4735
0	8369	4566
0	190	833
1	575	775
2	1803	709
3	7844	707
0	8464	681

Stop Event

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

Compiler

Compiled 305 to 135 computations (55.7% saved)

preprocess52.0ms (0.7%)

Memory: 1.9MiB live, 118.0MiB allocated
Compiler: Compiled 488 to 122 computations (75% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	16
0	9	16
1	15	16
2	23	16
3	39	16
4	74	16
5	149	16
6	356	16
7	593	16
8	747	16
9	763	16
10	764	16
0	764	16

Iter	Nodes	Cost
0	52	380
1	66	380
2	87	380
3	102	380
4	123	380
5	155	380
6	206	380
7	267	380
8	326	380
9	392	380
10	440	380
11	482	380
12	513	380
13	525	380
14	527	380

Iter	Nodes	Cost
0	6	16
0	9	16
1	15	16
2	23	16
3	39	16
4	74	16
5	149	16
6	356	16
7	593	16
8	747	16
9	763	16
10	764	16
0	764	16

Iter	Nodes	Cost
0	52	380
1	66	380
2	87	380
3	102	380
4	123	380
5	155	380
6	206	380
7	267	380
8	326	380
9	392	380
10	440	380
11	482	380
12	513	380
13	525	380
14	527	380

start0.0ms (0%)

analyze35.0ms (0.5%)

sample880.0ms (12%)

explain86.0ms (1.2%)

preprocess95.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify19.0ms (0.3%)

localize67.0ms (0.9%)

series8.0ms (0.1%)

simplify237.0ms (3.2%)

rewrite252.0ms (3.4%)

eval159.0ms (2.2%)

prune17.0ms (0.2%)

simplify49.0ms (0.7%)

localize60.0ms (0.8%)

series38.0ms (0.5%)

simplify206.0ms (2.8%)

rewrite150.0ms (2%)

eval225.0ms (3.1%)

prune114.0ms (1.5%)

simplify281.0ms (3.8%)

localize65.0ms (0.9%)

series36.0ms (0.5%)

simplify170.0ms (2.3%)

rewrite160.0ms (2.2%)

eval148.0ms (2%)

prune29.0ms (0.4%)

simplify142.0ms (1.9%)

localize74.0ms (1%)

series34.0ms (0.5%)

simplify186.0ms (2.5%)

rewrite239.0ms (3.3%)

eval155.0ms (2.1%)

prune63.0ms (0.9%)

regimes33.0ms (0.4%)

regimes121.0ms (1.6%)

regimes18.0ms (0.2%)

regimes14.0ms (0.2%)

regimes4.0ms (0.1%)

regimes12.0ms (0.2%)

regimes33.0ms (0.4%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch934.0ms (12.7%)

bsearch1.0ms (0%)

simplify894.0ms (12.2%)

soundness749.0ms (10.2%)

preprocess52.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	16
0	9	16
1	15	16
2	23	16
3	39	16
4	74	16
5	149	16
6	356	16
7	593	16
8	747	16
9	763	16
10	764	16
0	764	16

Iter	Nodes	Cost
0	52	380
1	66	380
2	87	380
3	102	380
4	123	380
5	155	380
6	206	380
7	267	380
8	326	380
9	392	380
10	440	380
11	482	380
12	513	380
13	525	380
14	527	380