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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze37.0ms (0.5%)

Memory

-16.2MiB live, 103.2MiB 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)

sample570.0ms (7.1%)

Memory

23.0MiB live, 1 160.4MiB allocated

Samples

331.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-sub: 86.0ms (56.6% of total)

ival-div: 58.0ms (38.2% of total)

ival-true: 6.0ms (3.9% of total)

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

Bogosity

explain62.0ms (0.8%)

Memory

2.9MiB live, 125.7MiB 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

25.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

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

ival-sub: 5.0ms (55.5% of total)

ival-div: 3.0ms (33.3% of total)

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

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

preprocess94.0ms (1.2%)

Memory

-15.2MiB live, 67.8MiB 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 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify25.0ms (0.3%)

Memory

-4.7MiB live, 33.7MiB 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

localize15.0ms (0.2%)

Memory

26.0MiB live, 26.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0	(-.f64 x y)
accuracy	0.015625	(/.f64 (-.f64 x y) (-.f64 z y))

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-sub: 2.0ms (45.7% of total)

ival-div: 2.0ms (45.7% of total)

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

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

series14.0ms (0.2%)

Memory

-24.0MiB live, 13.2MiB allocated

Counts

3 → 84

Calls

Call 1

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

Inputs

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

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

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((/ (- x y) (- z y)) (- x y) (- z y))
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	z	@	-inf	((/ (- x y) (- z y)) (- x y) (- z y))
1.0ms	z	@	0	((/ (- x y) (- z y)) (- x y) (- z y))

simplify245.0ms (3.1%)

Memory

29.8MiB live, 308.9MiB 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)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) z (/.f64 (-.f64 y x) y))
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2)))))
(fma.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y)))) z (/.f64 (-.f64 y x) y))
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) y)) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 y x) y))
(* -1 y)
(neg.f64 y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- (+ x (/ (* y (- x y)) z)) y) z)
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)) z)
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z)
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) (fma.f64 y (/.f64 y z) y) (-.f64 x y)) z)
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z)
(/.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (-.f64 x y) (fma.f64 (/.f64 (-.f64 x y) z) (fma.f64 y (/.f64 y z) y) (-.f64 x y))) z)
z
(* z (+ 1 (* -1 (/ y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(* z (+ 1 (* -1 (/ y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(* z (+ 1 (* -1 (/ y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z))
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)) z)
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 y (/.f64 y z) y)) z) (-.f64 y x)) z)
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z))
(/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 x y) y (/.f64 (*.f64 (-.f64 x y) (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) z)) z) (-.f64 y x)) z)
z
(* -1 (* z (- (/ y z) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(* -1 (* z (- (/ y z) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(* -1 (* z (- (/ y z) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(/ x z)
(/.f64 x z)
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z))
(fma.f64 (/.f64 (/.f64 x z) z) y (/.f64 (-.f64 x y) z))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z))
(fma.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y (/.f64 y (*.f64 (neg.f64 z) z))) y (fma.f64 (/.f64 (/.f64 x z) z) y (/.f64 (-.f64 x y) z)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z))
(fma.f64 (.f64 (-.f64 (-.f64 (.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) y) (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (/.f64 x (pow.f64 z #s(literal 3 binary64))))) y) y (fma.f64 (/.f64 (/.f64 x z) z) y (/.f64 (-.f64 x y) z)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
z
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y)))
(-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y)))
(fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 (-.f64 z x) y) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))))
(fma.f64 (*.f64 (-.f64 z x) z) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 (-.f64 z x) y) #s(literal 1 binary64)))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* y (- (/ z y) 1))
(-.f64 z y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- x z) y)))
(-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64))
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) z (-.f64 x z)) y))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x z) (fma.f64 z (/.f64 z y) z)) y) x) z) y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (/ y (- z y)))
(/.f64 y (-.f64 y z))
(+ (* -1 (/ y (- z y))) (/ x (- z y)))
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
(+ (* -1 (/ y (- z y))) (/ x (- z y)))
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
(+ (* -1 (/ y (- z y))) (/ x (- z y)))
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(/ x (- z y))
(/.f64 x (-.f64 z y))
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y))))
(fma.f64 (/.f64 x x) (/.f64 y (-.f64 y z)) (/.f64 x (-.f64 z y)))
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y))))
(fma.f64 (/.f64 x x) (/.f64 y (-.f64 y z)) (/.f64 x (-.f64 z y)))
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y))))
(fma.f64 (/.f64 x x) (/.f64 y (-.f64 y z)) (/.f64 x (-.f64 z y)))
x
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(/ x (- z y))
(/.f64 x (-.f64 z y))
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y)))))
(fma.f64 (/.f64 x x) (/.f64 y (-.f64 y z)) (/.f64 x (-.f64 z y)))
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y)))))
(fma.f64 (/.f64 x x) (/.f64 y (-.f64 y z)) (/.f64 x (-.f64 z y)))
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y)))))
(fma.f64 (/.f64 x x) (/.f64 y (-.f64 y z)) (/.f64 x (-.f64 z y)))
x
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 y (neg.f64 x)) x x)

rewrite206.0ms (2.6%)

Memory

-10.8MiB live, 210.8MiB 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 (pow.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 z y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (hypot.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (/.f64 (.f64 y x) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 z y) x (.f64 (-.f64 y z) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 y z) (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 y x (hypot.f64 y x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 z y) (.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 z y) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 y x (hypot.f64 y x))) #s(literal -1 binary64)))
(*.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 z y (hypot.f64 z y)) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 z y) (fma.f64 z y (hypot.f64 z y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 z z)) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 z z)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 z y (hypot.f64 z y)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 z y (hypot.f64 z y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 z y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 z y)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y z))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 y x)))
(.f64 (/.f64 (.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y z))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y))
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(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z y (hypot.f64 z y))) (.f64 (fma.f64 z y (hypot.f64 z y)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 z y (hypot.f64 z y)) (fma.f64 z y (hypot.f64 z y))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 z y) (hypot.f64 z y)))
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 z y (hypot.f64 z y)) (hypot.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (.f64 z y) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (+.f64 z y) (fma.f64 (.f64 y y) (hypot.f64 z y) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 z y (hypot.f64 z y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.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 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z y (hypot.f64 z y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 z y) (*.f64 (neg.f64 y) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 z y (hypot.f64 z y))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 y) y (.f64 z z)) (.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (neg.f64 (neg.f64 (+.f64 z y))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (+.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 z y) (*.f64 (neg.f64 y) z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 z y) (.f64 (neg.f64 y) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 z y (hypot.f64 z y))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 z z) (.f64 (neg.f64 y) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 z y (hypot.f64 z y)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (hypot.f64 z y) (*.f64 (neg.f64 y) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z y (hypot.f64 z y)))
(/.f64 (-.f64 y z) #s(literal -1 binary64))
(/.f64 (-.f64 z y) #s(literal 1 binary64))
(neg.f64 (-.f64 y z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 z y) y) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (*.f64 (+.f64 z y) y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z y (hypot.f64 z y)))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 z y) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 z y) y) (-.f64 (.f64 (+.f64 z y) y) (.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z y (hypot.f64 z y)))))
(fma.f64 (/.f64 (.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 z y) (.f64 z y)) (neg.f64 (*.f64 y (/.f64 y (+.f64 z y)))))
(fma.f64 (/.f64 (.f64 z z) (fma.f64 (neg.f64 y) y (.f64 z z))) (-.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 z y (hypot.f64 z y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z y (hypot.f64 z y)))))
(fma.f64 #s(literal -1 binary64) y z)
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 z y (hypot.f64 z y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z y (hypot.f64 z y)))))
(fma.f64 (.f64 z z) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (+.f64 z y)))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 z y (hypot.f64 z y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z y (hypot.f64 z y)))))
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 z y (hypot.f64 z y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z y (hypot.f64 z y)))))
(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 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z y (hypot.f64 z y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z y (hypot.f64 z y))) #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 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z y (hypot.f64 z y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z y (hypot.f64 z y))))
(-.f64 #s(literal 0 binary64) (-.f64 y z))
(-.f64 z y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64))) #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 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z y (hypot.f64 z y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z y (hypot.f64 z y)))))
(+.f64 (neg.f64 y) z)
(+.f64 z (neg.f64 y))

eval92.0ms (1.2%)

Memory: 2.0MiB live, 162.2MiB allocated
Compiler: Compiled 11 722 to 1 436 computations (87.7% saved)

prune56.0ms (0.7%)

Memory

10.0MiB live, 68.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	562	10	572
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	563	10	573

Accuracy

100.0%

Counts

573 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.6%	(/.f64 (-.f64 (-.f64 z y) (.f64 (/.f64 (-.f64 z y) x) y)) (.f64 (/.f64 (-.f64 z y) x) (-.f64 z y)))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 y x)))
▶	100.0%	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
	51.6%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
▶	53.8%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
	53.5%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
▶	52.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
	38.2%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
▶	51.1%	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64)))
▶	34.0%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 158 to 132 computations (16.5% saved)

simplify55.0ms (0.7%)

Memory

-8.1MiB live, 28.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

960×	`lower-fma.f64`
960×	`lower-fma.f32`
480×	`lower-*.f64`
480×	`lower-*.f32`
316×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (1%)

Memory

3.5MiB live, 80.1MiB 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	0.0234375	(/.f64 (-.f64 z x) y)
accuracy	31.269039579064188	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64)))
accuracy	0	(-.f64 x y)
accuracy	0.01171875	(/.f64 (-.f64 x y) z)
accuracy	29.586799693920355	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
accuracy	0	(-.f64 z y)
accuracy	0.00390625	(/.f64 x (-.f64 z y))
accuracy	30.13484691698143	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
accuracy	42.26589898357923	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))
accuracy	0	(-.f64 z y)
accuracy	0.00390625	(/.f64 x (-.f64 z y))
accuracy	0.00390625	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
accuracy	0.0078125	(/.f64 y (-.f64 z y))

Samples

31.0ms

256×

valid

Compiler

Compiled 99 to 17 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 8.0ms (49.3% of total)

ival-sub: 8.0ms (49.3% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.5%)

Memory

4.9MiB live, 84.5MiB allocated

Counts

13 → 420

Calls

Call 1

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

Outputs
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (* z (- (/ 1 y) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (* z (- (+ (* z (- (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (* z (- (+ (* z (- (+ (* z (- (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2))) (/ x (pow y 3)))) (/ 1 y)) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation:binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation:binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation:binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation:binary64>) () ())) ())
#s(alt -1 (taylor 0 z) (#s(alt (/.f64 y (-.f64 z y)) (patch (/.f64 y (-.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (- (* -1 (/ z y)) 1) (taylor 0 z) (#s(alt (/.f64 y (-.f64 z y)) (patch (/.f64 y (-.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1) (taylor 0 z) (#s(alt (/.f64 y (-.f64 z y)) (patch (/.f64 y (-.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) (taylor 0 z) (#s(alt (/.f64 y (-.f64 z y)) (patch (/.f64 y (-.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- x y) y)) (taylor 0 z) (#s(alt #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
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#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 #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
8.0ms	z	@	-inf	((- (/ x (- z y)) (/ y (- z y))) (/ x (- z y)) (- z y) (/ y (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
4.0ms	x	@	-inf	((- (/ x (- z y)) (/ y (- z y))) (/ x (- z y)) (- z y) (/ y (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
4.0ms	x	@	inf	((- (/ x (- z y)) (/ y (- z y))) (/ x (- z y)) (- z y) (/ y (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
2.0ms	z	@	inf	((- (/ x (- z y)) (/ y (- z y))) (/ x (- z y)) (- z y) (/ y (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
2.0ms	z	@	0	((- (/ x (- z y)) (/ y (- z y))) (/ x (- z y)) (- z y) (/ y (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))

simplify314.0ms (3.9%)

Memory

9.4MiB live, 288.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 760×	`lower-fma.f64`
9 760×	`lower-fma.f32`
4 522×	`lower-*.f64`
4 522×	`lower-*.f32`
3 048×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 411

Calls

Call 1

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

rewrite209.0ms (2.6%)

Memory

-9.2MiB live, 283.8MiB allocated

Rules

5 438×	`lower-/.f32`
5 430×	`lower-/.f64`
4 454×	`lower-*.f64`
4 454×	`lower-*.f32`
2 668×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

13 → 499

Calls

Call 1

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

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

eval347.0ms (4.3%)

Memory: 6.8MiB live, 240.3MiB allocated
Compiler: Compiled 19 797 to 2 459 computations (87.6% saved)

prune176.0ms (2.2%)

Memory

3.1MiB live, 77.8MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 075	7	1 082
Fresh	2	3	5
Picked	2	3	5
Done	0	0	0
Total	1 079	13	1 092

Accuracy

100.0%

Counts

1 092 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
✓	53.8%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
	22.7%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
	53.5%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	52.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
▶	20.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
	38.2%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
	52.6%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) x)))
▶	53.8%	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z)))
▶	33.3%	#s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)))
	53.6%	#s(approx (/ (- x y) (- z y)) #s(approx (/ (- x y) z) (*.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))))
▶	2.7%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
✓	34.0%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 154 to 161 computations (-4.5% saved)

simplify105.0ms (1.3%)

Memory

-33.7MiB live, 88.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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	(/.f64 z y)
cost-diff	0	#s(approx (/ (- z x) y) (/.f64 z y))
cost-diff	0	(-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)))
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 y z)
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z)))
cost-diff	704	(-.f64 (/.f64 x z) (/.f64 y z))

Rules

1 264×	`lower-fma.f64`
1 264×	`lower-fma.f32`
626×	`div-sub`
624×	`lower-*.f64`
624×	`lower-*.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	27	168
0	36	168
1	57	168
2	89	168
3	146	168
4	257	168
5	434	168
6	895	168
7	1756	164
8	1936	164
9	2222	164
10	2497	164
11	2775	164
12	2809	164
13	2809	164
14	2809	164
0	2809	164

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize95.0ms (1.2%)

Memory

-21.2MiB live, 115.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (-.f64 y x) y)
accuracy	0	(-.f64 y x)
accuracy	30.957956699731948	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
accuracy	0	(/.f64 z y)
accuracy	0	(-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64))
accuracy	31.269039579064188	#s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)))
accuracy	33.18114874889208	#s(approx (/ (- z x) y) (/.f64 z y))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(/.f64 x #s(approx (- z y) (neg.f64 y)))
accuracy	30.13484691698143	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
accuracy	31.46522841121851	#s(approx (- z y) (neg.f64 y))
accuracy	0	(/.f64 z y)
accuracy	31.269039579064188	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
accuracy	40.81698210702903	#s(approx (- (/ (- z x) y) -1) (/.f64 z y))
accuracy	0	(/.f64 y z)
accuracy	0	(/.f64 x z)
accuracy	0.40625000000000006	(-.f64 (/.f64 x z) (/.f64 y z))
accuracy	29.586799693920355	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z)))

Samples

41.0ms

256×

valid

Compiler

Compiled 105 to 20 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 20.0ms (71.3% of total)

ival-sub: 7.0ms (25% of total)

ival-neg: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.4%)

Memory

10.9MiB live, 88.1MiB allocated

Counts

17 → 516

Calls

Call 1

Inputs
#s(alt (-.f64 (/.f64 x z) (/.f64 y z)) (patch (-.f64 (/.f64 x z) (/.f64 y z)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) #<representation:binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<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 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64))) #<representation:binary64>) () ())
#s(alt (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)) (patch (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (- z x) y) (/.f64 z y)) (patch #s(approx (/ (- z x) y) (/.f64 z 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 (/ (- x y) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) (/.f64 y z)) (patch (-.f64 (/.f64 x z) (/.f64 y z)) #<representation:binary64>) () ())) ())
#s(alt (/ (- x y) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) (/.f64 y z)) (patch (-.f64 (/.f64 x z) (/.f64 y z)) #<representation:binary64>) () ())) ())
#s(alt (/ (- x y) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) (/.f64 y z)) (patch (-.f64 (/.f64 x z) (/.f64 y z)) #<representation:binary64>) () ())) ())
#s(alt (/ (- x y) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) (/.f64 y z)) (patch (-.f64 (/.f64 x z) (/.f64 y z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- x y) y)) (taylor 0 z) (#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.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 (/.f64 x z) (/.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.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 (/.f64 x z) (/.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.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 (/.f64 x z) (/.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y 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 (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (/ y 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(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>) () ())) ())
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#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 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 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)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 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)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 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)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)) (patch (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)) (patch (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)) (patch (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)) (patch (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt #s(approx (/ (- z x) y) (/.f64 z y)) (patch #s(approx (/ (- z x) y) (/.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (- z x) y) (/.f64 z y)) (patch #s(approx (/ (- z x) y) (/.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (- z x) y) (/.f64 z y)) (patch #s(approx (/ (- z x) y) (/.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (- z x) y) (/.f64 z y)) (patch #s(approx (/ (- z x) y) (/.f64 z 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
3.0ms	x	@	-inf	((- (/ x z) (/ y z)) (/ (- x y) (- z y)) (/ x z) (/ y z) (/ (- 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)) (- (/ (- z x) y) -1) (/ (- z x) y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))
2.0ms	x	@	inf	((- (/ x z) (/ y z)) (/ (- x y) (- z y)) (/ x z) (/ y z) (/ (- 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)) (- (/ (- z x) y) -1) (/ (- z x) y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))
2.0ms	y	@	-inf	((- (/ x z) (/ y z)) (/ (- x y) (- z y)) (/ x z) (/ y z) (/ (- 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)) (- (/ (- z x) y) -1) (/ (- z x) y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))
2.0ms	y	@	inf	((- (/ x z) (/ y z)) (/ (- x y) (- z y)) (/ x z) (/ y z) (/ (- 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)) (- (/ (- z x) y) -1) (/ (- z x) y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))
2.0ms	z	@	-inf	((- (/ x z) (/ y z)) (/ (- x y) (- z y)) (/ x z) (/ y z) (/ (- 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)) (- (/ (- z x) y) -1) (/ (- z x) y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))

simplify2.0s (25.5%)

Memory

19.9MiB live, 330.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 252×	`lower-fma.f64`
13 252×	`lower-fma.f32`
4 602×	`lower-*.f64`
4 602×	`lower-*.f32`
3 626×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	364	5420
1	1120	5051
2	3485	4682
0	8319	4548

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 510

Calls

Call 1

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

rewrite268.0ms (3.4%)

Memory

5.8MiB live, 324.3MiB allocated

Rules

5 114×	`lower-/.f32`
5 104×	`lower-/.f64`
4 964×	`lower-*.f64`
4 964×	`lower-*.f32`
3 542×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	153
0	36	149
1	170	149
2	1474	149
0	8825	149

Stop Event

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

Counts

17 → 399

Calls

Call 1

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

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

eval118.0ms (1.5%)

Memory: 2.9MiB live, 235.1MiB allocated
Compiler: Compiled 13 434 to 1 953 computations (85.5% saved)

prune28.0ms (0.4%)

Memory

-7.7MiB live, 68.0MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	965	0	965
Fresh	0	5	5
Picked	0	5	5
Done	0	3	3
Total	965	13	978

Accuracy

100.0%

Counts

978 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.6%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
✓	53.8%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
▶	22.7%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
▶	53.5%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	52.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
✓	20.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
▶	38.2%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
▶	52.6%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) x)))
✓	53.8%	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z)))
✓	33.3%	#s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)))
▶	53.6%	#s(approx (/ (- x y) (- z y)) #s(approx (/ (- x y) z) (*.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))))
✓	2.7%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
✓	34.0%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 122 to 127 computations (-4.1% saved)

simplify214.0ms (2.7%)

Memory

0.4MiB live, 118.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 (-.f64 z y) x)
cost-diff	0	#s(approx (/ (- x y) (- z y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) x))
cost-diff	0	(-.f64 y z)
cost-diff	0	(/.f64 y (-.f64 y z))
cost-diff	0	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- x y) (neg.f64 y)) z)
cost-diff	0	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
cost-diff	0	#s(approx (/ (- x y) z) (*.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x)))
cost-diff	0	#s(approx (/ (- x y) (- z y)) #s(approx (/ (- x y) z) (*.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))))
cost-diff	704	(-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z))
cost-diff	1152	(*.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))

Rules

4 132×	`lower-*.f32`
4 130×	`lower-*.f64`
3 028×	`lower-fma.f64`
3 028×	`lower-fma.f32`
1 932×	`cube-prod`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	29	189
0	43	189
1	70	189
2	115	185
3	243	182
4	645	179
5	1511	164
6	2756	164
7	3176	164
8	3674	164
9	4232	164
10	4338	164
11	4368	162
12	5041	162
13	5264	162
14	5719	162
15	6093	162
16	6367	162
17	6700	162
18	7141	162
19	7674	162
0	8041	162

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (1.1%)

Memory

12.4MiB live, 143.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0.015625	(/.f64 (-.f64 z y) x)
accuracy	0.5653338328060695	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) x))
accuracy	30.13484691698143	#s(approx (/ (- x y) (- z y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) x)))
accuracy	0	(-.f64 y z)
accuracy	0.0078125	(/.f64 y (-.f64 y z))
accuracy	29.7452048534464	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
accuracy	0	(neg.f64 y)
accuracy	0.01171875	(/.f64 #s(approx (- x y) (neg.f64 y)) z)
accuracy	29.586799693920355	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
accuracy	31.672229181852043	#s(approx (- x y) (neg.f64 y))
accuracy	0	(/.f64 x z)
accuracy	39.58110939523911	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
accuracy	0.00390625	(-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z))
accuracy	4.406181896988415	(/.f64 (/.f64 y z) x)
accuracy	5.032192097707642	(*.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))
accuracy	29.586799693920355	#s(approx (/ (- x y) (- z y)) #s(approx (/ (- x y) z) (*.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))))

Samples

71.0ms

256×

valid

Compiler

Compiled 126 to 22 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 17.0ms (64.8% of total)

ival-sub: 5.0ms (19.1% of total)

ival-mult: 2.0ms (7.6% of total)

ival-neg: 2.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.5%)

Memory

-14.2MiB live, 61.3MiB allocated

Counts

18 → 564

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((* (- (/ (/ y z) x) (/ 1 z)) (neg x)) (- (/ (/ y z) x) (/ 1 z)) (/ (- x y) (- z y)) (/ (- x y) z) (/ (- x y) (- z y)) (/ x z) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (neg y) (/ (- x y) (- z y)) (/ y (- y z)) (- y z) (/ 1 (/ (- z y) x)) (/ (- x y) (- z y)) (/ (- z y) x) (- z y) (/ (/ y z) x))
3.0ms	y	@	0	((* (- (/ (/ y z) x) (/ 1 z)) (neg x)) (- (/ (/ y z) x) (/ 1 z)) (/ (- x y) (- z y)) (/ (- x y) z) (/ (- x y) (- z y)) (/ x z) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (neg y) (/ (- x y) (- z y)) (/ y (- y z)) (- y z) (/ 1 (/ (- z y) x)) (/ (- x y) (- z y)) (/ (- z y) x) (- z y) (/ (/ y z) x))
3.0ms	z	@	-inf	((* (- (/ (/ y z) x) (/ 1 z)) (neg x)) (- (/ (/ y z) x) (/ 1 z)) (/ (- x y) (- z y)) (/ (- x y) z) (/ (- x y) (- z y)) (/ x z) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (neg y) (/ (- x y) (- z y)) (/ y (- y z)) (- y z) (/ 1 (/ (- z y) x)) (/ (- x y) (- z y)) (/ (- z y) x) (- z y) (/ (/ y z) x))
2.0ms	z	@	0	((* (- (/ (/ y z) x) (/ 1 z)) (neg x)) (- (/ (/ y z) x) (/ 1 z)) (/ (- x y) (- z y)) (/ (- x y) z) (/ (- x y) (- z y)) (/ x z) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (neg y) (/ (- x y) (- z y)) (/ y (- y z)) (- y z) (/ 1 (/ (- z y) x)) (/ (- x y) (- z y)) (/ (- z y) x) (- z y) (/ (/ y z) x))
2.0ms	x	@	-inf	((* (- (/ (/ y z) x) (/ 1 z)) (neg x)) (- (/ (/ y z) x) (/ 1 z)) (/ (- x y) (- z y)) (/ (- x y) z) (/ (- x y) (- z y)) (/ x z) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (neg y) (/ (- x y) (- z y)) (/ y (- y z)) (- y z) (/ 1 (/ (- z y) x)) (/ (- x y) (- z y)) (/ (- z y) x) (- z y) (/ (/ y z) x))

simplify195.0ms (2.4%)

Memory

13.7MiB live, 243.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 716×	`lower-fma.f64`
9 716×	`lower-fma.f32`
4 718×	`lower-*.f64`
4 718×	`lower-*.f32`
2 798×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	441	5966
1	1326	5624
2	3977	5254
0	8155	5097

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 555

Calls

Call 1

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

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

rewrite503.0ms (6.3%)

Memory

-154.7MiB live, 286.5MiB allocated

Rules

5 370×	`lower-/.f32`
5 354×	`lower-/.f64`
4 530×	`lower-*.f32`
4 528×	`lower-*.f64`
4 028×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	167
0	43	167
1	166	163
2	1416	155
0	8703	155

Stop Event

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

Counts

18 → 645

Calls

Call 1

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

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

eval172.0ms (2.2%)

Memory: 12.3MiB live, 320.1MiB allocated
Compiler: Compiled 18 845 to 3 496 computations (81.4% saved)

prune35.0ms (0.4%)

Memory

24.2MiB live, 100.9MiB allocated

Pruning

13 alts after pruning (0 fresh and 13 done)

	Pruned	Kept	Total
New	1 200	0	1 200
Fresh	0	0	0
Picked	0	5	5
Done	0	8	8
Total	1 200	13	1 213

Accuracy

100.0%

Counts

1 213 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.6%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
✓	53.8%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
✓	22.7%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
✓	53.5%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	52.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
✓	20.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
✓	38.2%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
✓	52.6%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) x)))
✓	53.8%	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z)))
✓	33.3%	#s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)))
✓	53.6%	#s(approx (/ (- x y) (- z y)) #s(approx (/ (- x y) z) (*.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))))
✓	2.7%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
✓	34.0%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 224 to 148 computations (33.9% saved)

regimes58.0ms (0.7%)

Memory

-42.7MiB live, 42.6MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes20.0ms (0.3%)

Memory

33.8MiB live, 33.8MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes82.0ms (1%)

Memory

-5.4MiB live, 32.9MiB 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(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)))
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
78.0%	3	`x`
80.2%	3	`y`
77.8%	3	`z`
99.5%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

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

Outputs
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y 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
99.4%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory

-29.7MiB live, 8.8MiB allocated

Counts

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
99.4%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
#s(approx (/ (- x y) (- z y)) (/.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
89.7%	3	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

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

Outputs
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
#s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64)))
#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
89.6%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes13.0ms (0.2%)

Memory

-12.6MiB live, 25.6MiB allocated

Counts

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

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

Calls

4 calls:

5.0ms	x
3.0ms	y
3.0ms	z
2.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Results

Accuracy	Segments	Branch
50.8%	4	`z`
50.5%	4	`x`
66.6%	4	`y`
78.6%	5	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes3.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

5 → 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))

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)) #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
78.6%	5	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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
72.3%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- z y)) #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
68.5%	3	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.1%)

Memory

-37.2MiB live, 15.5MiB allocated

Accuracy

Total -20.3b remaining (-48.1%)

Threshold costs -20.3b (-48.1%)

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:

6.0ms	x
1.0ms	y
1.0ms	z
1.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Results

Accuracy	Segments	Branch
34.0%	1	`x`
34.0%	1	`z`
34.0%	1	`y`
34.0%	1	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0001343224510415	467411725.0699749
0.0ms	6.468531157436529e-6	0.9999917509321461
0.0ms	-1935.575290281415	-1.0970484220975843e-11

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0001343224510415	467411725.0699749
0.0ms	6.468531157436529e-6	0.9999917509321461
0.0ms	-1935.575290281415	-1.0970484220975843e-11

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0001343224510415	467411725.0699749
0.0ms	6.468531157436529e-6	0.9999917509321461
0.0ms	-1935.575290281415	-1.0970484220975843e-11

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0001343224510415	467411725.0699749
0.0ms	-3.559564233980816e-60	-1.3385557121757724e-70

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0001343224510415	467411725.0699749
0.0ms	6.468531157436529e-6	0.9999917509321461
0.0ms	-3.559564233980816e-60	-1.3385557121757724e-70

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.0001343224510415	467411725.0699749
0.0ms	6.468531157436529e-6	0.9999917509321461
0.0ms	-3.559564233980816e-60	-1.3385557121757724e-70
0.0ms	-3.0026252953550935e+38	-3.437387838648735e+34

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.0001343224510415	467411725.0699749
0.0ms	1.4939424051896286e-13	3.4848893809134825e-7
0.0ms	-3.559564233980816e-60	-1.3385557121757724e-70
0.0ms	-3.0026252953550935e+38	-3.437387838648735e+34

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0001343224510415	467411725.0699749
0.0ms	6.468531157436529e-6	0.9999917509321461
0.0ms	-3.0026252953550935e+38	-3.437387838648735e+34

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0001343224510415	467411725.0699749
0.0ms	6.468531157436529e-6	0.9999917509321461

Compiler

Compiled 10 to 12 computations (-20% saved)

simplify75.0ms (0.9%)

Memory

-3.0MiB live, 73.0MiB allocated

Algorithm

1×	egg-herbie

Rules

158×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
148×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
114×	`neg-mul-1-binary64-*.f64-neg.f64`
102×	`neg-sub0-binary64--.f64-neg.f64`
90×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	769
1	95	769
2	116	769
3	129	769
4	146	769
5	180	769
6	234	769
7	308	769
8	397	769
9	475	769
10	532	769
11	589	769
12	640	769
13	673	769
14	685	769
15	687	769

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
(/.f64 (-.f64 x y) (-.f64 z y))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -1000 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 -1000 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 y x) y)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -1000 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 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 -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 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 -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 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 #s(approx (- x y) (neg.f64 y)) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z 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 -199999999999999995497619646912068059136 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 -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 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 -199999999999999995497619646912068059136 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 -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -199999999999999995497619646912068059136 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 5902958103587057/590295810358705651712 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 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Outputs
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
(/.f64 (-.f64 x y) (-.f64 z y))
(/.f64 (-.f64 y x) (-.f64 y z))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -1000 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 y x) (-.f64 y z)) #s(literal -1000 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -1000 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 y x) y)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -1000 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -1000 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 y (-.f64 y z))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -1000 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 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 -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 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 y x) (-.f64 y z)) #s(literal -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (/.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 -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 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 #s(approx (- x y) (neg.f64 y)) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -199999999999999995497619646912068059136 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 -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64))) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -199999999999999995497619646912068059136 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(approx (/ (- z x) y) (/.f64 z y)) #s(literal -1 binary64))) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -199999999999999995497619646912068059136 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 -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -199999999999999995497619646912068059136 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -199999999999999995497619646912068059136 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 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -199999999999999995497619646912068059136 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

soundness1.0s (12.8%)

Memory

8.3MiB live, 644.3MiB allocated

Rules

18 288×	`lower-fma.f64`
18 288×	`lower-fma.f32`
9 760×	`lower-fma.f64`
9 760×	`lower-fma.f32`
5 306×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 622 to 244 computations (60.8% saved)

preprocess113.0ms (1.4%)

Memory: 7.4MiB live, 158.3MiB allocated
Compiler: Compiled 1 000 to 172 computations (82.8% 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	78	769
1	95	769
2	116	769
3	129	769
4	146	769
5	180	769
6	234	769
7	308	769
8	397	769
9	475	769
10	532	769
11	589	769
12	640	769
13	673	769
14	685	769
15	687	769

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	78	769
1	95	769
2	116	769
3	129	769
4	146	769
5	180	769
6	234	769
7	308	769
8	397	769
9	475	769
10	532	769
11	589	769
12	640	769
13	673	769
14	685	769
15	687	769

start0.0ms (0%)

analyze37.0ms (0.5%)

sample570.0ms (7.1%)

explain62.0ms (0.8%)

preprocess94.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify25.0ms (0.3%)

localize15.0ms (0.2%)

series14.0ms (0.2%)

simplify245.0ms (3.1%)

rewrite206.0ms (2.6%)

eval92.0ms (1.2%)

prune56.0ms (0.7%)

simplify55.0ms (0.7%)

localize77.0ms (1%)

series39.0ms (0.5%)

simplify314.0ms (3.9%)

rewrite209.0ms (2.6%)

eval347.0ms (4.3%)

prune176.0ms (2.2%)

simplify105.0ms (1.3%)

localize95.0ms (1.2%)

series31.0ms (0.4%)

simplify2.0s (25.5%)

rewrite268.0ms (3.4%)

eval118.0ms (1.5%)

prune28.0ms (0.4%)

simplify214.0ms (2.7%)

localize87.0ms (1.1%)

series42.0ms (0.5%)

simplify195.0ms (2.4%)

rewrite503.0ms (6.3%)

eval172.0ms (2.2%)

prune35.0ms (0.4%)

regimes58.0ms (0.7%)

regimes20.0ms (0.3%)

regimes82.0ms (1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify75.0ms (0.9%)

soundness1.0s (12.8%)

preprocess113.0ms (1.4%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	78	769
1	95	769
2	116	769
3	129	769
4	146	769
5	180	769
6	234	769
7	308	769
8	397	769
9	475	769
10	532	769
11	589	769
12	640	769
13	673	769
14	685	769
15	687	769