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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze134.0ms (1.7%)

Memory

-11.8MiB live, 74.4MiB 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)

sample732.0ms (9.2%)

Memory

15.6MiB live, 1 120.9MiB allocated

Samples

404.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-sub: 152.0ms (65.4% of total)

ival-div: 71.0ms (30.5% of total)

ival-true: 6.0ms (2.6% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain56.0ms (0.7%)

Memory

5.3MiB live, 129.1MiB 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

28.0ms

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 (54.5% of total)

ival-div: 3.0ms (32.7% of total)

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

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

preprocess93.0ms (1.2%)

Memory

-13.1MiB live, 101.5MiB 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))

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify27.0ms (0.3%)

Memory

3.8MiB live, 47.1MiB 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 x y)
x
y
(-.f64 z y)
z

localize18.0ms (0.2%)

Memory

1.4MiB live, 40.4MiB 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

14.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-sub: 3.0ms (67.2% of total)

ival-div: 2.0ms (44.8% of total)

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

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

series7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB 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 (/ (- x y) y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ (- x y) z) (taylor inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (* y (- x y)) z)) y) z) (taylor inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) (taylor inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) (taylor inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ (- x y) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ y z) 1))) (taylor -inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ y z) 1))) (taylor -inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ y z) 1))) (taylor -inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 y)) (taylor 0 y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 y)) (taylor 0 y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 y)) (taylor 0 y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ z y) 1)) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ z y) 1)) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ z y) 1)) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- x z) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (- z y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- z y))) (/ x (- z y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- z y))) (/ x (- z y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- z y))) (/ x (- z y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify418.0ms (5.3%)

Memory

-7.8MiB live, 280.9MiB 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	7844	707
0	8464	681

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 78

Calls

Call 1

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

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

rewrite183.0ms (2.3%)

Memory

-13.0MiB live, 342.4MiB 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 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) (+.f64 y x)) (/.f64 (-.f64 y x) (-.f64 y z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) (+.f64 y x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 y (-.f64 z y)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) (+.f64 y x)) (/.f64 (.f64 x x) (.f64 (-.f64 z y) (-.f64 z y)))) (/.f64 (-.f64 y x) (-.f64 y z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (-.f64 z y)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) (+.f64 y x)) (/.f64 (.f64 x x) (.f64 (-.f64 z y) (-.f64 z y))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z y) x (.f64 (-.f64 y z) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z y) (-.f64 z y))))
(.f64 (pow.f64 (/.f64 (-.f64 y z) (.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(.f64 (pow.f64 (/.f64 (-.f64 y z) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (-.f64 z y) (.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(.f64 (pow.f64 (/.f64 (-.f64 z y) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (+.f64 z y) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 z y) (+.f64 z y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 z y) (fma.f64 (+.f64 z y) y (*.f64 z z))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 z y) (-.f64 z y)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z)) (.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) y (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) y (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 z y)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 z y))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 z y))))
(.f64 (/.f64 (.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y z))) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fma.f64 y (-.f64 y x) (.f64 x x)))
(.f64 (/.f64 (.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y z))) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
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(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) #s(literal 1 binary64)) (+.f64 z y))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z)) #s(literal 1 binary64)) (fma.f64 (+.f64 z y) y (*.f64 z z)))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 z y)) (.f64 (+.f64 z y) (.f64 y y))) (*.f64 (+.f64 z y) (+.f64 z y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z z) z) (fma.f64 (+.f64 z y) y (.f64 z z))) (.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) (.f64 (.f64 y y) y))) (.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) (fma.f64 (+.f64 z y) y (*.f64 z z))))
(/.f64 (.f64 (fma.f64 z z (.f64 y y)) (.f64 (+.f64 z y) (-.f64 z y))) (.f64 (+.f64 z y) (fma.f64 z z (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))) (.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 z z) (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z))))))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z)) (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z))) (.f64 (+.f64 z y) (fma.f64 (.f64 y y) (fma.f64 z z (.f64 y y)) (.f64 (.f64 z z) (*.f64 z z)))))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z)) (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z))) (.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z))))
(/.f64 (.f64 (+.f64 z y) (-.f64 y z)) (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z y))))
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (neg.f64 (+.f64 z y)))
(/.f64 (.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) (-.f64 y z)) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 z y) y (.f64 z z)))))
(/.f64 (.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) (-.f64 y z)) (neg.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (*.f64 z z))))
(/.f64 (.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) (-.f64 y z)) (neg.f64 (fma.f64 (+.f64 z y) y (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 z y)))
(/.f64 (.f64 (+.f64 z y) (-.f64 z y)) (.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (neg.f64 (neg.f64 (+.f64 z y))))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (+.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (.f64 z z)) (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y z)))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z)) (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (*.f64 z z))))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z)) (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) y (*.f64 z z))))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z)) (fma.f64 y y (-.f64 (.f64 z z) (*.f64 (neg.f64 y) z))))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z)) (neg.f64 (neg.f64 (fma.f64 (+.f64 z y) y (.f64 z z)))))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z)) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (.f64 z z)))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z)) (fma.f64 (+.f64 z y) y (.f64 z z)))
(/.f64 (-.f64 y z) #s(literal -1 binary64))
(/.f64 (-.f64 z y) #s(literal 1 binary64))
(neg.f64 (-.f64 y z))
(fma.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) (-.f64 (.f64 z z) (.f64 (+.f64 z y) y)))) (-.f64 (.f64 z z) (.f64 (+.f64 z y) y)) (neg.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z)))))
(fma.f64 (/.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 z z)) z (.f64 (.f64 (.f64 (+.f64 z y) y) (.f64 (+.f64 z y) y)) (.f64 (+.f64 z y) y)))) (fma.f64 (.f64 (+.f64 z y) y) (-.f64 (.f64 (+.f64 z y) y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (neg.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 z y) y (.f64 z z)))))
(fma.f64 (/.f64 (.f64 z z) (fma.f64 (.f64 y y) y (.f64 (.f64 z z) z))) (fma.f64 z z (.f64 y (-.f64 y z))) (neg.f64 (.f64 y (/.f64 y (+.f64 z y)))))
(fma.f64 (/.f64 (.f64 z z) (.f64 (+.f64 z y) (-.f64 z y))) (-.f64 z y) (neg.f64 (*.f64 y (/.f64 y (+.f64 z y)))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z))) (neg.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 z y) y (.f64 z z)))))
(fma.f64 #s(literal -1 binary64) y z)
(fma.f64 (.f64 z z) (/.f64 z (fma.f64 (+.f64 z y) y (.f64 z z))) (neg.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z)))))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (neg.f64 (.f64 y (/.f64 y (+.f64 z y)))))
(fma.f64 (.f64 (.f64 z z) z) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) y (.f64 z z))) (neg.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 z y) y (.f64 z z)))))
(fma.f64 z (/.f64 (.f64 z z) (fma.f64 (+.f64 z y) y (.f64 z z))) (neg.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z)))))
(fma.f64 z (/.f64 z (+.f64 z y)) (neg.f64 (*.f64 y (/.f64 y (+.f64 z y)))))
(fma.f64 y #s(literal -1 binary64) z)
(-.f64 (+.f64 z #s(literal 0 binary64)) y)
(-.f64 (/.f64 (.f64 z (/.f64 z (+.f64 z y))) #s(literal 1 binary64)) (/.f64 (.f64 y (/.f64 y (+.f64 z y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 z z) z) (fma.f64 (+.f64 z y) y (.f64 z z))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 z y) y (.f64 z z))) #s(literal 1 binary64)))
(-.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(-.f64 (.f64 z (/.f64 z (+.f64 z y))) (.f64 y (/.f64 y (+.f64 z y))))
(-.f64 (/.f64 (.f64 (.f64 z z) z) (fma.f64 (+.f64 z y) y (.f64 z z))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 z y) y (.f64 z z))))
(-.f64 #s(literal 0 binary64) (-.f64 y z))
(-.f64 z y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 z)) (neg.f64 y))
(+.f64 (.f64 z (/.f64 z (+.f64 z y))) (neg.f64 (.f64 y (/.f64 y (+.f64 z y)))))
(+.f64 (/.f64 (.f64 (.f64 z z) z) (fma.f64 (+.f64 z y) y (.f64 z z))) (neg.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 z y) y (.f64 z z)))))
(+.f64 (neg.f64 y) z)
(+.f64 z (neg.f64 y))

eval81.0ms (1%)

Memory: 7.0MiB live, 207.4MiB allocated
Compiler: Compiled 14 146 to 1 401 computations (90.1% saved)

prune96.0ms (1.2%)

Memory

-8.7MiB live, 228.7MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	563	9	572
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	564	9	573

Accuracy

100.0%

Counts

573 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.4%	(/.f64 (fma.f64 (-.f64 z y) x (.f64 (-.f64 y z) y)) (.f64 (-.f64 z y) (-.f64 z y)))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 y x)))
	46.8%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
▶	56.1%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
	50.0%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
▶	56.0%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
	42.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
▶	46.5%	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64)))
▶	31.9%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 184 to 104 computations (43.5% saved)

simplify72.0ms (0.9%)

Memory

9.4MiB live, 47.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

1 136×	`lower-fma.f64`
1 136×	`lower-fma.f32`
592×	`lower-*.f64`
592×	`lower-*.f32`
534×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	118
0	33	118
1	58	118
2	91	116
3	171	116
4	371	116
5	776	116
6	1520	116
7	1863	116
8	2022	116
9	2050	116
10	2067	116
11	2067	116
0	2067	116

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.6%)

Memory

-6.6MiB live, 67.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64))
accuracy	0	(-.f64 z x)
accuracy	0.0078125	(/.f64 (-.f64 z x) y)
accuracy	34.240733552155675	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64)))
accuracy	0	(-.f64 x y)
accuracy	0.015625	(/.f64 (-.f64 x y) z)
accuracy	28.118044757369375	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
accuracy	0	(-.f64 z y)
accuracy	0.0078125	(/.f64 x (-.f64 z y))
accuracy	28.1465779511503	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
accuracy	43.61102648890428	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))
accuracy	0	(-.f64 y z)
accuracy	0	(-.f64 y x)
accuracy	0.01953125	(/.f64 (-.f64 y z) (-.f64 y x))
accuracy	0.5046729795422573	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 y x)))

Samples

39.0ms

256×

valid

Compiler

Compiled 98 to 19 computations (80.6% saved)

Precisions

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

ival-div: 14.0ms (58.6% of total)

ival-sub: 10.0ms (41.8% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.6%)

Memory

9.4MiB live, 49.1MiB allocated

Counts

15 → 480

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	((/ 1 (/ (- y z) (- y x))) (/ (- y z) (- y x)) (- y z) (- y x) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
4.0ms	x	@	inf	((/ 1 (/ (- y z) (- y x))) (/ (- y z) (- y x)) (- y z) (- y x) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
3.0ms	z	@	-inf	((/ 1 (/ (- y z) (- y x))) (/ (- y z) (- y x)) (- y z) (- y x) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
2.0ms	z	@	0	((/ 1 (/ (- y z) (- y x))) (/ (- y z) (- y x)) (- y z) (- y x) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
2.0ms	x	@	0	((/ 1 (/ (- y z) (- y x))) (/ (- y z) (- y x)) (- y z) (- y x) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))

simplify174.0ms (2.2%)

Memory

1.9MiB live, 199.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 270×	`lower-fma.f64`
8 270×	`lower-fma.f32`
4 084×	`lower-*.f64`
4 084×	`lower-*.f32`
3 454×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	596	5647
1	1890	5180
2	6095	5095
0	8286	4890

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 465

Calls

Call 1

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

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

rewrite176.0ms (2.2%)

Memory

-2.8MiB live, 221.6MiB allocated

Rules

4 804×	`lower-/.f32`
4 794×	`lower-/.f64`
4 266×	`lower-fma.f64`
4 266×	`lower-fma.f32`
3 486×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	103
0	33	103
1	153	101
2	1250	101
0	8561	101

Stop Event

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

Counts

15 → 881

Calls

Call 1

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

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

eval179.0ms (2.2%)

Memory: 34.0MiB live, 347.1MiB allocated
Compiler: Compiled 27 534 to 3 023 computations (89% saved)

prune299.0ms (3.8%)

Memory

-19.6MiB live, 349.3MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1 340	6	1 346
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	1 343	12	1 355

Accuracy

100.0%

Counts

1 355 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y z) (- y x)) (/.f64 z (-.f64 x y))))
	46.8%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
✓	56.1%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
	20.7%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
▶	50.0%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	56.0%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
	44.1%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (*.f64 (-.f64 (/.f64 z y) #s(literal 1 binary64)) y))))
▶	17.3%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
	42.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
▶	46.8%	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) y) #s(literal -1 binary64)))
▶	2.7%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
✓	31.9%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 197 to 114 computations (42.1% saved)

simplify75.0ms (0.9%)

Memory

14.3MiB live, 50.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
608×	`lower-*.f64`
608×	`lower-*.f32`
502×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	179
0	44	179
1	67	179
2	97	179
3	153	179
4	266	179
5	469	179
6	1030	179
7	1750	179
8	2016	179
9	2213	179
10	2262	179
11	2287	179
12	2294	179
0	2294	179

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize167.0ms (2.1%)

Memory

-16.1MiB live, 101.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.0078125	(/.f64 #s(approx (- z x) (neg.f64 x)) y)
accuracy	33.57687706706294	#s(approx (- z x) (neg.f64 x))
accuracy	34.240733552155675	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) y) #s(literal -1 binary64)))
accuracy	0	(-.f64 y z)
accuracy	0.00390625	(/.f64 y (-.f64 y z))
accuracy	32.01589050160071	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(/.f64 x #s(approx (- z y) (neg.f64 y)))
accuracy	28.1465779511503	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
accuracy	34.814038752661084	#s(approx (- z y) (neg.f64 y))
accuracy	0	(/.f64 z y)
accuracy	34.240733552155675	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
accuracy	39.176271614235596	#s(approx (- (/ (- z x) y) -1) (/.f64 z y))
accuracy	0	(-.f64 x y)
accuracy	0.00390625	(/.f64 z (-.f64 x y))
accuracy	0.5046729795422573	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y z) (- y x)) (/.f64 z (-.f64 x y))))
accuracy	27.147194055186084	#s(approx (/ (- y z) (- y x)) (/.f64 z (-.f64 x y)))

Samples

135.0ms

256×

valid

Compiler

Compiled 112 to 23 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 13.0ms (58.4% of total)

ival-sub: 7.0ms (31.4% of total)

ival-neg: 2.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.4%)

Memory

-0.6MiB live, 73.8MiB allocated

Counts

19 → 564

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ 1 (/ (- y z) (- y x))) (/ (- y z) (- y x)) (/ z (- x y)) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ z y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (neg y) (/ (- x y) (- z y)) (/ y (- y z)) (- y z) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x) (neg x))
2.0ms	z	@	-inf	((/ 1 (/ (- y z) (- y x))) (/ (- y z) (- y x)) (/ z (- x y)) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ z y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (neg y) (/ (- x y) (- z y)) (/ y (- y z)) (- y z) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x) (neg x))
2.0ms	z	@	inf	((/ 1 (/ (- y z) (- y x))) (/ (- y z) (- y x)) (/ z (- x y)) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ z y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (neg y) (/ (- x y) (- z y)) (/ y (- y z)) (- y z) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x) (neg x))
2.0ms	x	@	inf	((/ 1 (/ (- y z) (- y x))) (/ (- y z) (- y x)) (/ z (- x y)) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ z y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (neg y) (/ (- x y) (- z y)) (/ y (- y z)) (- y z) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x) (neg x))
2.0ms	y	@	inf	((/ 1 (/ (- y z) (- y x))) (/ (- y z) (- y x)) (/ z (- x y)) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ z y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (neg y) (/ (- x y) (- z y)) (/ y (- y z)) (- y z) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x) (neg x))

simplify220.0ms (2.8%)

Memory

4.8MiB live, 193.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 834×	`lower-fma.f64`
7 834×	`lower-fma.f32`
4 716×	`lower-*.f64`
4 716×	`lower-*.f32`
3 102×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	766	6573
1	2390	6007
2	7350	5982
0	8046	5794

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 552

Calls

Call 1

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

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

rewrite1.1s (14.3%)

Memory

-31.1MiB live, 214.8MiB allocated

Rules

5 654×	`lower-/.f32`
5 642×	`lower-/.f64`
4 026×	`lower-*.f64`
4 026×	`lower-*.f32`
3 732×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	166
0	44	166
1	188	166
2	1465	166
0	8417	166

Stop Event

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

Counts

19 → 342

Calls

Call 1

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

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

eval1.0s (12.8%)

Memory: 9.5MiB live, 272.7MiB allocated
Compiler: Compiled 13 589 to 1 465 computations (89.2% saved)

prune171.0ms (2.2%)

Memory

19.6MiB live, 227.1MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	894	0	894
Fresh	0	4	4
Picked	0	5	5
Done	0	3	3
Total	894	12	906

Accuracy

100.0%

Counts

906 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y z) (- y x)) (/.f64 z (-.f64 x y))))
▶	46.8%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
✓	56.1%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
▶	20.7%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
✓	50.0%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	56.0%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
▶	44.1%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (*.f64 (-.f64 (/.f64 z y) #s(literal 1 binary64)) y))))
✓	17.3%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
▶	42.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
✓	46.8%	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) y) #s(literal -1 binary64)))
✓	2.7%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
✓	31.9%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 110 to 64 computations (41.8% saved)

simplify238.0ms (3%)

Memory

-19.8MiB live, 140.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

4 706×	`lower-fma.f64`
4 706×	`lower-fma.f32`
3 850×	`lower-*.f32`
3 848×	`lower-*.f64`
1 502×	`associate-/r/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	137
0	31	137
1	49	137
2	72	137
3	115	129
4	195	121
5	365	121
6	877	121
7	2570	121
8	5016	121
9	6328	121
10	6616	121
11	6729	121
12	6845	121
13	6964	121
0	8148	121

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (0.8%)

Memory

17.3MiB live, 53.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.01171875	(/.f64 (-.f64 y x) y)
accuracy	34.017361171033656	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
accuracy	0	(neg.f64 y)
accuracy	0.015625	(/.f64 #s(approx (- x y) (neg.f64 y)) z)
accuracy	28.118044757369375	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
accuracy	33.39013829775629	#s(approx (- x y) (neg.f64 y))
accuracy	0	#s(approx (- z y) (*.f64 (-.f64 (/.f64 z y) #s(literal 1 binary64)) y))
accuracy	0.0078125	(/.f64 x #s(approx (- z y) (*.f64 (-.f64 (/.f64 z y) #s(literal 1 binary64)) y)))
accuracy	10.146217306821514	(*.f64 (-.f64 (/.f64 z y) #s(literal 1 binary64)) y)
accuracy	28.1465779511503	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (*.f64 (-.f64 (/.f64 z y) #s(literal 1 binary64)) y))))
accuracy	0	(/.f64 x z)
accuracy	36.55597018707158	#s(approx (/ (- x y) (- z y)) (/.f64 x z))

Samples

56.0ms

256×

valid

Compiler

Compiled 84 to 18 computations (78.6% saved)

Precisions

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

ival-div: 37.0ms (82.5% of total)

ival-sub: 5.0ms (11.2% of total)

ival-mult: 2.0ms (4.5% of total)

ival-neg: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series101.0ms (1.3%)

Memory

-0.2MiB live, 35.2MiB allocated

Counts

13 → 372

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
82.0ms	x	@	-inf	((/ (- x y) (- z y)) (/ x z) (* (- (/ z y) 1) y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (neg y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))
1.0ms	z	@	-inf	((/ (- x y) (- z y)) (/ x z) (* (- (/ z y) 1) y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (neg y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))
1.0ms	x	@	inf	((/ (- x y) (- z y)) (/ x z) (* (- (/ z y) 1) y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (neg y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))
1.0ms	y	@	-inf	((/ (- x y) (- z y)) (/ x z) (* (- (/ z y) 1) y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (neg y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))
1.0ms	z	@	inf	((/ (- x y) (- z y)) (/ x z) (* (- (/ z y) 1) y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (neg y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))

simplify279.0ms (3.5%)

Memory

-9.7MiB live, 240.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 250×	`lower-fma.f64`
13 250×	`lower-fma.f32`
4 052×	`lower-*.f64`
4 052×	`lower-*.f32`
3 722×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	325	3976
1	994	3731
2	3089	3409
0	8100	3300

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 360

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

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

rewrite338.0ms (4.2%)

Memory

0.3MiB live, 154.0MiB allocated

Rules

5 214×	`lower-fma.f64`
5 214×	`lower-fma.f32`
4 560×	`lower-*.f32`
4 558×	`lower-*.f64`
4 122×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	119
0	31	119
1	126	119
2	892	103
0	9000	103

Stop Event

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

Counts

13 → 383

Calls

Call 1

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

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

eval130.0ms (1.6%)

Memory: 16.4MiB live, 125.0MiB allocated
Compiler: Compiled 11 093 to 1 137 computations (89.8% saved)

prune88.0ms (1.1%)

Memory

-0.4MiB live, 204.3MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	742	1	743
Fresh	0	0	0
Picked	1	3	4
Done	1	7	8
Total	744	11	755

Accuracy

100.0%

Counts

755 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y z) (- y x)) (/.f64 z (-.f64 x y))))
✓	56.1%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
✓	20.7%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
✓	50.0%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	56.0%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
✓	44.1%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (*.f64 (-.f64 (/.f64 z y) #s(literal 1 binary64)) y))))
✓	17.3%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
✓	42.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
	46.8%	#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	2.7%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
✓	31.9%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 224 to 96 computations (57.1% saved)

regimes23.0ms (0.3%)

Memory

12.2MiB live, 51.2MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	z
6.0ms	y
5.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
5.0ms	x

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)

regimes18.0ms (0.2%)

Memory

7.0MiB live, 46.0MiB allocated

Counts

12 → 4

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
4.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
80.1%	3	`x`
81.1%	3	`y`
80.0%	3	`z`
98.8%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

-27.1MiB live, 12.1MiB allocated

Counts

11 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
98.6%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

8 → 5

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
#s(approx (/ (- x y) (- z y)) (/.f64 x z))
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
#s(approx (/ (- x y) (- z y)) (-.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)))
#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
88.5%	5	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

7 → 5

Calls

Call 1

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

3.0ms

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

Results

Accuracy	Segments	Branch
88.5%	5	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes16.0ms (0.2%)

Memory

-25.7MiB live, 20.7MiB allocated

Counts

6 → 6

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
3.0ms	x
3.0ms	z
2.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Results

Accuracy	Segments	Branch
67.5%	3	`z`
61.2%	6	`x`
73.1%	3	`y`
78.7%	6	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

5 → 6

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.3%	3	`y`
77.5%	6	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

2.0ms

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

Results

Accuracy	Segments	Branch
74.3%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

3 → 3

Calls

Call 1

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

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:

2.0ms

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

Results

Accuracy	Segments	Branch
70.9%	3	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes7.0ms (0.1%)

Memory

-22.5MiB live, 16.5MiB allocated

Accuracy

Total -18.9b remaining (-43.3%)

Threshold costs -18.9b (-43.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
31.9%	1	`x`
31.9%	1	`y`
31.9%	1	`z`
31.9%	1	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000009632979	151513.09450121384
0.0ms	5.932983422927808e-6	0.5916726454092349
0.0ms	-2260022895221220.0	-0.5412024899484347

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000009632979	151513.09450121384
0.0ms	5.932983422927808e-6	0.5916726454092349
0.0ms	-2260022895221220.0	-0.5412024899484347

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000009632979	151513.09450121384
0.0ms	5.553725353165163e-26	3.200325871392673e-20
0.0ms	5.232978519116255e-221	2.464753856405919e-205
0.0ms	-5.068818398171043e-186	-1.4049568893044798e-195

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000009632979	151513.09450121384
0.0ms	5.553725353165163e-26	3.200325871392673e-20
0.0ms	5.232978519116255e-221	2.464753856405919e-205
0.0ms	-5.068818398171043e-186	-1.4049568893044798e-195

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000009632979	151513.09450121384
0.0ms	5.553725353165163e-26	3.200325871392673e-20
0.0ms	5.232978519116255e-221	2.464753856405919e-205
0.0ms	-5.068818398171043e-186	-1.4049568893044798e-195
0.0ms	-1.3274736392256959e+103	-1.1056180556663352e+102

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000009632979	151513.09450121384
0.0ms	5.553725353165163e-26	3.200325871392673e-20
0.0ms	5.232978519116255e-221	2.464753856405919e-205
0.0ms	-5.068818398171043e-186	-1.4049568893044798e-195
0.0ms	-1.3274736392256959e+103	-1.1056180556663352e+102

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000009632979	151513.09450121384
0.0ms	5.553725353165163e-26	3.200325871392673e-20
0.0ms	-1.3274736392256959e+103	-1.1056180556663352e+102

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000009632979	151513.09450121384
0.0ms	5.553725353165163e-26	3.200325871392673e-20

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify10.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	775
1	88	775
2	106	775
3	114	775
4	118	775

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 -2000000000000000 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -2000000000000000 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5902958103587057/590295810358705651712 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 -3061802069160839/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 8711228593176025/87112285931760246646623899502532662132736 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 -3061802069160839/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 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 8711228593176025/87112285931760246646623899502532662132736 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 #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 -10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 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 -3061802069160839/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 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 8711228593176025/87112285931760246646623899502532662132736 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)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(approx (/ (- x y) (- z y)) (/.f64 x z)))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 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 -3061802069160839/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 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 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 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 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 8711228593176025/87112285931760246646623899502532662132736 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 -2000000000000000 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -2000000000000000 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5902958103587057/590295810358705651712 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 -3061802069160839/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 8711228593176025/87112285931760246646623899502532662132736 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 -3061802069160839/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 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 8711228593176025/87112285931760246646623899502532662132736 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 #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 -10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 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 -3061802069160839/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 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 8711228593176025/87112285931760246646623899502532662132736 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)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(approx (/ (- x y) (- z y)) (/.f64 x z)))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 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 -3061802069160839/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 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 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 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 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 8711228593176025/87112285931760246646623899502532662132736 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))

soundness848.0ms (10.7%)

Memory

8.2MiB live, 552.7MiB allocated

Rules

18 288×	`lower-fma.f64`
18 288×	`lower-fma.f32`
8 270×	`lower-fma.f64`
8 270×	`lower-fma.f32`
5 214×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	596	5647
1	1890	5180
2	6095	5095
0	8286	4890
0	22	119
0	31	119
1	126	119
2	892	103
0	9000	103
0	190	833
1	575	775
2	1803	709
3	7844	707
0	8464	681

Stop Event

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

Compiler

Compiled 717 to 211 computations (70.6% saved)

preprocess99.0ms (1.2%)

Memory: -7.0MiB live, 159.7MiB allocated
Compiler: Compiled 1 036 to 144 computations (86.1% 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%)

analyze134.0ms (1.7%)

sample732.0ms (9.2%)

explain56.0ms (0.7%)

preprocess93.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.3%)

localize18.0ms (0.2%)

series7.0ms (0.1%)

simplify418.0ms (5.3%)

rewrite183.0ms (2.3%)

eval81.0ms (1%)

prune96.0ms (1.2%)

simplify72.0ms (0.9%)

localize50.0ms (0.6%)

series44.0ms (0.6%)

simplify174.0ms (2.2%)

rewrite176.0ms (2.2%)

eval179.0ms (2.2%)

prune299.0ms (3.8%)

simplify75.0ms (0.9%)

localize167.0ms (2.1%)

series36.0ms (0.4%)

simplify220.0ms (2.8%)

rewrite1.1s (14.3%)

eval1.0s (12.8%)

prune171.0ms (2.2%)

simplify238.0ms (3%)

localize67.0ms (0.8%)

series101.0ms (1.3%)

simplify279.0ms (3.5%)

rewrite338.0ms (4.2%)

eval130.0ms (1.6%)

prune88.0ms (1.1%)

regimes23.0ms (0.3%)

regimes18.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes16.0ms (0.2%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness848.0ms (10.7%)

preprocess99.0ms (1.2%)

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