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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze62.0ms (0.7%)

Memory

19.7MiB live, 61.4MiB 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)

sample690.0ms (8.1%)

Memory

31.3MiB live, 1 043.6MiB allocated

Samples

446.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-div: 103.0ms (48.9% of total)

ival-sub: 99.0ms (47% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain91.0ms (1.1%)

Memory

-29.2MiB live, 75.0MiB 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

41.0ms

512×

valid

Compiler

Compiled 46 to 22 computations (52.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 5.0ms (56.9% of total)

ival-div: 3.0ms (34.1% of total)

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

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

preprocess92.0ms (1.1%)

Memory

10.8MiB live, 87.7MiB allocated

Algorithm

1×	egg-herbie

Rules

656×	`times-frac`
428×	`div-sub`
320×	`lower-fma.f64`
320×	`lower-fma.f32`
306×	`unsub-neg`

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

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify23.0ms (0.3%)

Memory

-5.9MiB live, 33.2MiB 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))

Rules

320×	`lower-fma.f64`
320×	`lower-fma.f32`
192×	`lower-*.f64`
192×	`lower-*.f32`
142×	`times-frac`

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

localize28.0ms (0.3%)

Memory

-19.7MiB live, 58.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0	(-.f64 x y)
accuracy	0.01953125	(/.f64 (-.f64 x y) (-.f64 z y))

Samples

13.0ms

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: 2.0ms (46% of total)

ival-div: 2.0ms (46% of total)

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

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

series7.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB 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 (/ 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 (/ 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 (- 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 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 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 (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 (/ (- 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 (/ (- 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 (/ (- 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 (* -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 (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 (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 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 (* -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 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 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 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 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 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 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 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>) () ())) ())

Calls

21 calls:

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

simplify444.0ms (5.2%)

Memory

24.4MiB live, 336.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18 288×	`lower-fma.f64`
18 288×	`lower-fma.f32`
5 062×	`lower-*.f64`
5 062×	`lower-*.f32`
2 934×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	833
1	575	775
2	1803	709
3	7837	707
0	8469	681

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 78

Calls

Call 1

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

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

rewrite638.0ms (7.5%)

Memory

-10.5MiB live, 187.2MiB allocated

Rules

5 306×	`lower-*.f64`
5 306×	`lower-*.f32`
3 294×	`lower-fma.f64`
3 294×	`lower-fma.f32`
3 046×	`lower-/.f32`

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

eval97.0ms (1.1%)

Memory: -17.7MiB live, 102.6MiB allocated
Compiler: Compiled 14 146 to 1 406 computations (90.1% saved)

prune141.0ms (1.7%)

Memory

9.3MiB live, 246.6MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	565	7	572
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	565	8	573

Accuracy

100.0%

Counts

573 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 z y))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y)))
	50.4%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
	52.9%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
▶	52.3%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
▶	37.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
▶	53.4%	#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
▶	36.2%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 130 to 80 computations (38.5% saved)

simplify62.0ms (0.7%)

Memory

-2.3MiB live, 79.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

640×	`lower-fma.f64`
640×	`lower-fma.f32`
416×	`lower-*.f64`
416×	`lower-*.f32`
390×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	100
0	26	100
1	40	100
2	64	98
3	119	98
4	263	98
5	510	98
6	962	98
7	1247	98
8	1420	98
9	1456	98
10	1463	98
11	1466	98
12	1467	98
0	1467	98

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (0.5%)

Memory

24.4MiB live, 101.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.01171875	(/.f64 x (-.f64 z y))
accuracy	30.531326160202365	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	29.79464088404496	#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy	0	(/.f64 x z)
accuracy	39.990036585976355	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
accuracy	40.85988476787466	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))
accuracy	0	(-.f64 z y)
accuracy	0	(-.f64 x y)
accuracy	0.02734375	(/.f64 (-.f64 z y) (-.f64 x y))
accuracy	0.262545844655576	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y)))

Samples

27.0ms

256×

valid

Compiler

Compiled 84 to 15 computations (82.1% saved)

Precisions

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

ival-div: 9.0ms (67.8% of total)

ival-sub: 4.0ms (30.1% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (0.7%)

Memory

-23.8MiB live, 28.5MiB allocated

Counts

12 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	(/ (- z y) (- x y))
17.0ms	x	@	-inf	(/ (- z y) (- x y))
1.0ms	z	@	0	(/ x z)
1.0ms	z	@	0	(/ (- z y) (- x y))
1.0ms	x	@	inf	(/ x (- z y))

simplify331.0ms (3.9%)

Memory

-0.8MiB live, 350.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 004×	`lower-fma.f64`
10 004×	`lower-fma.f32`
4 908×	`lower-*.f64`
4 908×	`lower-*.f32`
2 938×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	449	4835
1	1380	4480
2	4323	4367
0	8457	4147

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 366

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

rewrite259.0ms (3%)

Memory

2.4MiB live, 468.9MiB allocated

Rules

4 794×	`lower-fma.f64`
4 794×	`lower-fma.f32`
4 596×	`lower-*.f64`
4 596×	`lower-*.f32`
3 768×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	84
0	26	82
1	107	82
2	784	82
0	8651	82

Stop Event

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

Counts

12 → 757

Calls

Call 1

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

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

eval153.0ms (1.8%)

Memory: 22.3MiB live, 290.2MiB allocated
Compiler: Compiled 24 553 to 2 404 computations (90.2% saved)

prune230.0ms (2.7%)

Memory

-12.0MiB live, 280.2MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 218	3	1 221
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	1 219	10	1 229

Accuracy

100.0%

Counts

1 229 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 z y))
▶	52.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- z y) (- x y)) (/.f64 (-.f64 z y) x)))
▶	50.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- z y) (- x y)) (/.f64 z (-.f64 x y))))
▶	50.4%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
▶	52.9%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	52.3%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
▶	19.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
✓	37.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
✓	53.4%	#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	36.2%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 138 to 83 computations (39.9% saved)

simplify87.0ms (1%)

Memory

10.4MiB live, 58.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

912×	`lower-fma.f64`
912×	`lower-fma.f32`
604×	`times-frac`
592×	`lower-*.f64`
592×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	161
0	37	161
1	57	161
2	76	161
3	123	161
4	217	161
5	403	161
6	898	161
7	1829	161
8	1975	161
9	2105	161
10	2195	161
11	2207	161
12	2214	161
13	2220	161
0	2220	161

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize161.0ms (1.9%)

Memory

-20.7MiB live, 90.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.015625	(/.f64 (-.f64 z y) x)
accuracy	0.262545844655576	(/.f64 #s(literal 1 binary64) #s(approx (/ (- z y) (- x y)) (/.f64 (-.f64 z y) x)))
accuracy	31.805196492697164	#s(approx (/ (- z y) (- x y)) (/.f64 (-.f64 z y) x))
accuracy	0	(-.f64 x y)
accuracy	0.0078125	(/.f64 z (-.f64 x y))
accuracy	0.262545844655576	(/.f64 #s(literal 1 binary64) #s(approx (/ (- z y) (- x y)) (/.f64 z (-.f64 x y))))
accuracy	30.758994245051586	#s(approx (/ (- z y) (- x y)) (/.f64 z (-.f64 x y)))
accuracy	0	(-.f64 x y)
accuracy	0.00390625	(/.f64 (-.f64 x y) z)
accuracy	31.726775243370657	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
accuracy	0	(neg.f64 y)
accuracy	0.01171875	(/.f64 x #s(approx (- z y) (neg.f64 y)))
accuracy	30.531326160202365	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
accuracy	30.675593961074746	#s(approx (- z y) (neg.f64 y))
accuracy	0	(-.f64 y z)
accuracy	0.01953125	(/.f64 y (-.f64 y z))
accuracy	30.140854125898905	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))

Samples

41.0ms

256×

valid

Compiler

Compiled 112 to 18 computations (83.9% saved)

Precisions

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

ival-div: 13.0ms (63.6% of total)

ival-sub: 6.0ms (29.4% of total)

ival-neg: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.5%)

Memory

9.3MiB live, 53.5MiB allocated

Counts

17 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/ (- x y) z)
1.0ms	z	@	0	(/ y (- y z))
0.0ms	z	@	-inf	(/ z (- x y))
0.0ms	z	@	-inf	(/ (- z y) x)
0.0ms	x	@	-inf	(/ (- x y) z)

simplify328.0ms (3.8%)

Memory

23.6MiB live, 423.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 024×	`lower-fma.f64`
9 024×	`lower-fma.f32`
4 412×	`lower-*.f64`
4 412×	`lower-*.f32`
3 924×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	660	6747
1	2020	6291
2	6157	6149
0	8504	5882

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 516

Calls

Call 1

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

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

rewrite283.0ms (3.3%)

Memory

-19.5MiB live, 372.7MiB allocated

Rules

4 832×	`lower-fma.f64`
4 832×	`lower-fma.f32`
4 684×	`lower-*.f64`
4 684×	`lower-*.f32`
4 442×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
0	37	143
1	135	143
2	899	143
0	8589	143

Stop Event

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

Counts

17 → 750

Calls

Call 1

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

Outputs
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
(+.f64 #s(literal 0 binary64) (/.f64 y (-.f64 y z)))
(+.f64 (.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (.f64 y y)) (.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (.f64 z (+.f64 y z))))
(+.f64 (.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (.f64 z (+.f64 y z))) (.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (.f64 y y)))
(+.f64 (.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (fma.f64 y y (.f64 z z))) (.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (.f64 y z)))
(+.f64 (.f64 (/.f64 y (.f64 (-.f64 y z) (+.f64 y z))) y) (.f64 (/.f64 y (.f64 (-.f64 y z) (+.f64 y z))) z))
(+.f64 (.f64 (/.f64 y (.f64 (-.f64 y z) (+.f64 y z))) z) (.f64 (/.f64 y (.f64 (-.f64 y z) (+.f64 y z))) y))
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(+.f64 (.f64 (.f64 z (+.f64 y z)) (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z)))) (.f64 (.f64 y y) (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z)))))
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(+.f64 (.f64 y (/.f64 y (.f64 (-.f64 y z) (+.f64 y z)))) (.f64 z (/.f64 y (.f64 (-.f64 y z) (+.f64 y z)))))
(+.f64 (.f64 z (/.f64 y (.f64 (-.f64 y z) (+.f64 y z)))) (.f64 y (/.f64 y (.f64 (-.f64 y z) (+.f64 y z)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 z y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 z y)))
(fma.f64 y (/.f64 y (.f64 (-.f64 y z) (+.f64 y z))) (.f64 z (/.f64 y (*.f64 (-.f64 y z) (+.f64 y z)))))
(fma.f64 z (/.f64 y (.f64 (-.f64 y z) (+.f64 y z))) (.f64 y (/.f64 y (*.f64 (-.f64 y z) (+.f64 y z)))))
(fma.f64 (.f64 y y) (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (.f64 (.f64 z (+.f64 y z)) (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 y z)))))
(fma.f64 (.f64 z (+.f64 y z)) (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (.f64 (.f64 y y) (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 y z)))))
(fma.f64 (fma.f64 y y (.f64 z z)) (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (.f64 (.f64 y z) (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 y z)))))
(fma.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (.f64 y y) (.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (*.f64 z (+.f64 y z))))
(fma.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (.f64 z (+.f64 y z)) (.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (*.f64 y y)))
(fma.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (fma.f64 y y (.f64 z z)) (.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (*.f64 y z)))
(fma.f64 (/.f64 y (.f64 (-.f64 y z) (+.f64 y z))) y (.f64 (/.f64 y (*.f64 (-.f64 y z) (+.f64 y z))) z))
(fma.f64 (/.f64 y (.f64 (-.f64 y z) (+.f64 y z))) z (.f64 (/.f64 y (*.f64 (-.f64 y z) (+.f64 y z))) y))
(neg.f64 (/.f64 y (-.f64 z y)))
(/.f64 y (-.f64 y z))
(/.f64 (neg.f64 y) (-.f64 z y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 z y) #s(literal 1 binary64)))
(/.f64 (.f64 y (+.f64 y z)) (.f64 (-.f64 y z) (+.f64 y z)))
(/.f64 (.f64 y (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 z y)) (.f64 (-.f64 z y) y)) (*.f64 (-.f64 z y) (-.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y (-.f64 z y)) (/.f64 (.f64 (/.f64 y (-.f64 z y)) y) (-.f64 z y)))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y (-.f64 z y)) (/.f64 y (-.f64 z y)) (*.f64 #s(literal 0 binary64) (/.f64 y (-.f64 z y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 y (-.f64 z y)) y) (-.f64 z y))) (+.f64 #s(literal 0 binary64) (/.f64 y (-.f64 z y))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (-.f64 z y))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (-.f64 z y))
(/.f64 (.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (fma.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))) (.f64 (.f64 z (+.f64 y z)) (.f64 (.f64 z z) (.f64 (+.f64 y z) (+.f64 y z)))))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 z (+.f64 y z)) (-.f64 (.f64 z (+.f64 y z)) (.f64 y y)))))
(/.f64 (.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z))) (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 (.f64 y y) (.f64 z (+.f64 y z))))) (-.f64 (.f64 y y) (*.f64 z (+.f64 y z))))
(/.f64 (.f64 (/.f64 y (.f64 (-.f64 y z) (+.f64 y z))) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y))
(/.f64 (.f64 (/.f64 y (.f64 (-.f64 y z) (+.f64 y z))) (*.f64 (-.f64 y z) (+.f64 y z))) (-.f64 y z))
(/.f64 (.f64 (/.f64 y (.f64 (-.f64 y z) (+.f64 y z))) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (fma.f64 z z (.f64 y (-.f64 y z))))
(/.f64 (.f64 (/.f64 y (.f64 (-.f64 y z) (+.f64 y z))) (fma.f64 y (.f64 y y) (.f64 z (.f64 z z)))) (fma.f64 y y (.f64 z (-.f64 z y))))
(/.f64 (.f64 (neg.f64 (.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 z y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) y)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 z y))) (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z))))
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(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) (+.f64 y z))) (*.f64 (+.f64 y z) y))
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(.f64 (/.f64 y (.f64 (-.f64 y z) (+.f64 y z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y z))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal -1/2 binary64)))
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(.f64 (.f64 #s(literal 1 binary64) (/.f64 y (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z)))) (fma.f64 y (+.f64 y z) (*.f64 z z)))
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(+.f64 (/.f64 (.f64 y y) (+.f64 y z)) (neg.f64 (/.f64 (.f64 z z) (+.f64 y z))))
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(-.f64 y z)
(-.f64 #s(literal 0 binary64) (-.f64 z y))
(-.f64 (neg.f64 z) (neg.f64 y))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z z) (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 y z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 z z) (+.f64 y z)) (/.f64 (.f64 z z) (+.f64 y z)) (fma.f64 (/.f64 (.f64 y y) (+.f64 y z)) (/.f64 (.f64 y y) (+.f64 y z)) (.f64 (/.f64 (.f64 z z) (+.f64 y z)) (/.f64 (*.f64 y y) (+.f64 y z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 y z) (-.f64 y z))) (-.f64 y z))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z)))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))))) (+.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (+.f64 y z)) (/.f64 (.f64 z z) (+.f64 y z))) (.f64 (/.f64 (.f64 y y) (+.f64 y z)) (/.f64 (.f64 y y) (+.f64 y z)))) (+.f64 (/.f64 (.f64 z z) (+.f64 y z)) (/.f64 (.f64 y y) (+.f64 y z))))
(/.f64 (.f64 (.f64 (-.f64 y z) (+.f64 y z)) #s(literal 1 binary64)) (neg.f64 (+.f64 y z)))
(/.f64 (.f64 (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z)) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (.f64 z z)))) (fma.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))))))
(/.f64 (.f64 (.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (.f64 z z)))) (fma.f64 z (.f64 z z) (.f64 y (*.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (+.f64 y z))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 y y) (fma.f64 y y (.f64 z z)))))
(/.f64 (.f64 (.f64 (fma.f64 z z (.f64 y y)) (.f64 (-.f64 z y) (+.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 y z))) (fma.f64 z z (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal -1 binary64))
(*.f64 (-.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 z y))
(*.f64 #s(literal -1 binary64) (-.f64 y z))
(.f64 (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (.f64 z z))))
(.f64 (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 (neg.f64 y) (-.f64 (neg.f64 y) z)))))
(.f64 (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 z y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (*.f64 z z))) #s(literal 1 binary64)))
(.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 (-.f64 z y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (.f64 z z)))))
(.f64 (.f64 (-.f64 z y) (+.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(.f64 (.f64 (-.f64 z y) (+.f64 y z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) #s(literal 1 binary64)))
(.f64 (+.f64 y z) (.f64 (-.f64 z y) (/.f64 #s(literal 1 binary64) (+.f64 y z))))
(.f64 (.f64 (-.f64 y z) (+.f64 y z)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y z))))
(.f64 (.f64 (-.f64 y z) (+.f64 y z)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z))))
(.f64 (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z)))))
(.f64 (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 y z)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (.f64 z z)))))

eval292.0ms (3.4%)

Memory: 26.5MiB live, 347.0MiB allocated
Compiler: Compiled 24 516 to 2 606 computations (89.4% saved)

prune340.0ms (4%)

Memory

-8.8MiB live, 311.3MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1 371	2	1 373
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	1 372	11	1 383

Accuracy

100.0%

Counts

1 383 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 z y))
✓	52.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- z y) (- x y)) (/.f64 (-.f64 z y) x)))
▶	19.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- z y) (- x y)) (/.f64 z #s(approx (- x y) (neg.f64 y)))))
✓	50.4%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
▶	19.5%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
✓	52.9%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	52.3%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
✓	19.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
✓	37.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
✓	53.4%	#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	36.2%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 98 to 59 computations (39.8% saved)

simplify911.0ms (10.7%)

Memory

-6.0MiB live, 32.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
416×	`lower-*.f64`
416×	`lower-*.f32`
382×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	87
0	19	87
1	32	87
2	44	87
3	72	87
4	124	87
5	249	87
6	600	87
7	1093	87
8	1414	87
9	1538	87
10	1713	87
11	1832	87
12	1844	87
13	1851	87
14	1865	87
15	1877	87
0	1877	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize879.0ms (10.3%)

Memory

-4.4MiB live, 73.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 z #s(approx (- x y) (neg.f64 y)))
accuracy	0.262545844655576	(/.f64 #s(literal 1 binary64) #s(approx (/ (- z y) (- x y)) (/.f64 z #s(approx (- x y) (neg.f64 y)))))
accuracy	30.758994245051586	#s(approx (/ (- z y) (- x y)) (/.f64 z #s(approx (- x y) (neg.f64 y))))
accuracy	31.163186066866196	#s(approx (- x y) (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(/.f64 #s(approx (- x y) (neg.f64 y)) z)
accuracy	31.163186066866196	#s(approx (- x y) (neg.f64 y))
accuracy	31.726775243370657	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))

Samples

862.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 853.0ms

ival-div: 849.0ms (99.5% of total)

ival-sub: 2.0ms (0.2% of total)

ival-neg: 1.0ms (0.1% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

7 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

simplify436.0ms (5.1%)

Memory

2.1MiB live, 323.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 808×	`lower-fma.f64`
9 808×	`lower-fma.f32`
4 750×	`lower-*.f64`
4 750×	`lower-*.f32`
2 872×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	447	2783
1	1366	2593
2	4258	2546
0	8237	2435

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 213

Calls

Call 1

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

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

rewrite245.0ms (2.9%)

Memory

-21.0MiB live, 390.1MiB allocated

Rules

4 722×	`lower-*.f64`
4 722×	`lower-*.f32`
4 350×	`lower-/.f32`
4 344×	`lower-/.f64`
3 172×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
0	19	74
1	82	74
2	560	74
3	7761	74
0	8405	74

Stop Event

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

Counts

7 → 141

Calls

Call 1

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

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

eval51.0ms (0.6%)

Memory: 4.9MiB live, 76.4MiB allocated
Compiler: Compiled 5 307 to 627 computations (88.2% saved)

prune58.0ms (0.7%)

Memory

-5.4MiB live, 80.5MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	417	0	417
Fresh	0	0	0
Picked	0	2	2
Done	0	9	9
Total	417	11	428

Accuracy

100.0%

Counts

428 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 z y))
✓	52.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- z y) (- x y)) (/.f64 (-.f64 z y) x)))
✓	19.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- z y) (- x y)) (/.f64 z #s(approx (- x y) (neg.f64 y)))))
✓	50.4%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
✓	19.5%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
✓	52.9%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	52.3%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
✓	19.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
✓	37.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
✓	53.4%	#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	36.2%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 183 to 84 computations (54.1% saved)

regimes23.0ms (0.3%)

Memory

-10.0MiB live, 27.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	x
4.0ms	z
4.0ms	y
4.0ms	(/.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 22 to 15 computations (31.8% saved)

regimes13.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

8 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
77.5%	3	`x`
86.7%	5	`y`
79.7%	3	`z`
98.7%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#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)) (/.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)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
#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)) (/.f64 y (-.f64 y z)))
#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
86.8%	3	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes7.0ms (0.1%)

Memory

-30.7MiB live, 7.0MiB allocated

Counts

6 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
87.3%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes10.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.2%	3	`x`
68.3%	3	`z`
76.4%	3	`y`
73.3%	3	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

4 → 4

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
72.4%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`
66.5%	3	`y`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes5.0ms (0.1%)

Memory

-39.2MiB live, 6.3MiB allocated

Counts

3 → 3

Calls

Call 1

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

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 #s(approx (- z y) (neg.f64 y))))

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
70.5%	3	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
70.0%	3	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
36.2%	1	`x`
36.2%	1	`y`
36.2%	1	`z`
36.2%	1	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0568008210798794	13.617250894676085
0.0ms	2.868708931853313e-7	0.9999999998121706
0.0ms	-4.135681794409376	-0.0019809931269234218

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0568008210798794	13.617250894676085
0.0ms	-1.6019919643500385e-55	-2.550351467027943e-62

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0568008210798794	13.617250894676085
0.0ms	2.868708931853313e-7	0.9999999998121706
0.0ms	-1.6019919643500385e-55	-2.550351467027943e-62

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch19.0ms (0.2%)

Memory

-9.1MiB live, 29.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.291706902313887e-13	1.3998585344498121e-12
10.0ms	-2.2905357340674363e-5	-2.2170502194304573e-7

Samples

8.0ms

208×

valid

Compiler

Compiled 247 to 168 computations (32% saved)

Precisions

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

ival-sub: 2.0ms (55% of total)

ival-div: 1.0ms (27.5% of total)

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	13.617250894676085	155.4222360422652
0.0ms	7.555458741044248e-16	8.490078498064908e-8
0.0ms	-1.6019919643500385e-55	-2.550351467027943e-62

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	13.617250894676085	155.4222360422652
0.0ms	2.868708931853313e-7	0.9999999998121706

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0568008210798794	13.617250894676085
0.0ms	2.868708931853313e-7	0.9999999998121706

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify13.0ms (0.2%)

Memory

-16.0MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
8×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	476
1	73	476
2	86	476
3	93	476
4	97	476
5	98	476

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 z y))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -4 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4722366482869645/9444732965739290427392 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 #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 -5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 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)) (/.f64 y (-.f64 y z))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 y #s(literal -6989102394647075/9444732965739290427392 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal 817040425928351/2475880078570760549798248448 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 20 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 20 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4722366482869645/9444732965739290427392 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 y) (-.f64 z y))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -4 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4722366482869645/9444732965739290427392 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 #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 -5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 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)) (/.f64 y (-.f64 y z))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 y #s(literal -6989102394647075/9444732965739290427392 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal 817040425928351/2475880078570760549798248448 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 20 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 20 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4722366482869645/9444732965739290427392 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))

soundness782.0ms (9.2%)

Memory

34.6MiB live, 579.3MiB allocated

Rules

18 288×	`lower-fma.f64`
18 288×	`lower-fma.f32`
10 004×	`lower-fma.f64`
10 004×	`lower-fma.f32`
9 024×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	449	4835
1	1380	4480
2	4323	4367
0	8457	4147
0	190	833
1	575	775
2	1803	709
3	7837	707
0	8469	681
0	660	6747
1	2020	6291
2	6157	6149
0	8504	5882

Stop Event

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

Compiler

Compiled 440 to 155 computations (64.8% saved)

preprocess57.0ms (0.7%)

Memory: 4.9MiB live, 119.7MiB allocated
Compiler: Compiled 632 to 122 computations (80.7% 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	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

start0.0ms (0%)

analyze62.0ms (0.7%)

sample690.0ms (8.1%)

explain91.0ms (1.1%)

preprocess92.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.3%)

localize28.0ms (0.3%)

series7.0ms (0.1%)

simplify444.0ms (5.2%)

rewrite638.0ms (7.5%)

eval97.0ms (1.1%)

prune141.0ms (1.7%)

simplify62.0ms (0.7%)

localize44.0ms (0.5%)

series60.0ms (0.7%)

simplify331.0ms (3.9%)

rewrite259.0ms (3%)

eval153.0ms (1.8%)

prune230.0ms (2.7%)

simplify87.0ms (1%)

localize161.0ms (1.9%)

series46.0ms (0.5%)

simplify328.0ms (3.8%)

rewrite283.0ms (3.3%)

eval292.0ms (3.4%)

prune340.0ms (4%)

simplify911.0ms (10.7%)

localize879.0ms (10.3%)

series8.0ms (0.1%)

simplify436.0ms (5.1%)

rewrite245.0ms (2.9%)

eval51.0ms (0.6%)

prune58.0ms (0.7%)

regimes23.0ms (0.3%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.2%)

soundness782.0ms (9.2%)

preprocess57.0ms (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