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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze39.0ms (0.6%)

Memory

-10.2MiB live, 70.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample995.0ms (14.5%)

Memory

20.7MiB live, 805.4MiB allocated

Samples

704.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 411.0ms

ival-sub: 310.0ms (75.4% of total)

ival-div: 92.0ms (22.4% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain177.0ms (2.6%)

Memory

5.2MiB live, 83.7MiB 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

21.0ms

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 (57.3% of total)

ival-div: 3.0ms (34.4% of total)

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

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

preprocess103.0ms (1.5%)

Memory

-3.1MiB live, 54.8MiB 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)

eval5.0ms (0.1%)

Memory: -38.9MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune2.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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)

simplify23.0ms (0.3%)

Memory

11.6MiB live, 50.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.2%)

Memory

8.5MiB live, 47.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z y)
accuracy	0	(-.f64 x y)
accuracy	0.0234375	(/.f64 (-.f64 x y) (-.f64 z y))

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 3.0ms (56.3% of total)

ival-div: 2.0ms (37.6% of total)

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

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

series12.0ms (0.2%)

Memory

-9.0MiB live, 32.1MiB allocated

Counts

3 → 84

Calls

Call 1

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

Inputs

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

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

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

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

Calls

9 calls:

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

simplify181.0ms (2.6%)

Memory

3.2MiB live, 316.6MiB 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)

rewrite182.0ms (2.6%)

Memory

1.2MiB live, 246.5MiB 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 (fma.f64 (/.f64 y (-.f64 z y)) (.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (+.f64 y x)) (pow.f64 (/.f64 x (-.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 (+.f64 y x) y (.f64 x 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 (+.f64 y x) y (.f64 x 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 (+.f64 z y) y (.f64 z z)) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 z y) (fma.f64 (+.f64 z y) y (*.f64 z z))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (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 (+.f64 y x) y (*.f64 x 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 (+.f64 z y) y (*.f64 z z)) #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 (+.f64 z y) y (.f64 z z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x 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 (+.f64 y x) y (*.f64 x 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)))) (fma.f64 y (-.f64 y x) (*.f64 x 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 y y) (.f64 z z)) (-.f64 (neg.f64 y) z))
(/.f64 (-.f64 (pow.f64 (.f64 z (/.f64 z (+.f64 z y))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 z y))) #s(literal 3 binary64))) (fma.f64 (.f64 z (/.f64 z (+.f64 z y))) (.f64 z (/.f64 z (+.f64 z y))) (fma.f64 (.f64 y (/.f64 y (+.f64 z y))) (.f64 y (/.f64 y (+.f64 z y))) (.f64 (.f64 z (/.f64 z (+.f64 z y))) (*.f64 y (/.f64 y (+.f64 z y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z))) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (*.f64 z z)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (neg.f64 (+.f64 z y))))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (+.f64 z y))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (+.f64 z y) y (*.f64 z z)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 z z (*.f64 y y)) (+.f64 z y)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 z z (.f64 y y)) (pow.f64 z #s(literal 4 binary64))) (+.f64 z y)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 z y) y (*.f64 z z))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (fma.f64 (+.f64 z y) y (.f64 z z))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 z z)) #s(literal 1 binary64)) (+.f64 z y))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z)))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 z y)) (.f64 (+.f64 z y) (.f64 y y))) (*.f64 (+.f64 z y) (+.f64 z y)))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z))) (.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) (fma.f64 (+.f64 z y) y (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (+.f64 z y) (fma.f64 z z (.f64 y y))))
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) (+.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 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) (fma.f64 z z (*.f64 y 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 (+.f64 z y) y (.f64 z z)) (-.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 (+.f64 z y) y (.f64 z z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (*.f64 z z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) y (*.f64 z z))))
(/.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 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (*.f64 z 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) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (.f64 z z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) y (.f64 z z))))
(/.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 (+.f64 z y) y (*.f64 z z)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (*.f64 z z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 z y) y (*.f64 z z)))
(/.f64 (-.f64 y z) #s(literal -1 binary64))
(/.f64 (-.f64 z y) #s(literal 1 binary64))
(neg.f64 (-.f64 y z))
(fma.f64 (/.f64 (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 (+.f64 z y) y (.f64 z z)))))
(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 (+.f64 z y) y (*.f64 z z)))))
(fma.f64 (/.f64 (.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (.f64 y (-.f64 y z))) (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 (+.f64 z y) y (.f64 z z))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z)))))
(fma.f64 #s(literal -1 binary64) y z)
(fma.f64 (.f64 z z) (/.f64 z (fma.f64 (+.f64 z y) y (.f64 z z))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (*.f64 z z)))))
(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 (+.f64 z y) y (.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z)))))
(fma.f64 z (/.f64 (.f64 z z) (fma.f64 (+.f64 z y) y (.f64 z z))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (*.f64 z z)))))
(fma.f64 z (/.f64 z (+.f64 z y)) (neg.f64 (*.f64 y (/.f64 y (+.f64 z y)))))
(fma.f64 y #s(literal -1 binary64) z)
(-.f64 (+.f64 z #s(literal 0 binary64)) y)
(-.f64 (/.f64 (.f64 z (/.f64 z (+.f64 z y))) #s(literal 1 binary64)) (/.f64 (.f64 y (/.f64 y (+.f64 z y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z))) #s(literal 1 binary64)))
(-.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(-.f64 (.f64 z (/.f64 z (+.f64 z y))) (.f64 y (/.f64 y (+.f64 z y))))
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z))))
(-.f64 #s(literal 0 binary64) (-.f64 y z))
(-.f64 z y)
(exp.f64 (*.f64 (log.f64 (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 (+.f64 z y) y (.f64 z z))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) y (.f64 z z)))))
(+.f64 (neg.f64 y) z)
(+.f64 z (neg.f64 y))

eval70.0ms (1%)

Memory: 7.6MiB live, 163.8MiB allocated
Compiler: Compiled 12 256 to 1 433 computations (88.3% saved)

prune82.0ms (1.2%)

Memory

-4.3MiB live, 238.8MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	562	10	572
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	562	11	573

Accuracy

100.0%

Counts

573 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 z y))
	85.9%	(/.f64 (-.f64 x y) #s(approx (- z y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)))
	99.6%	(/.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)))
	50.5%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
▶	54.7%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
	49.4%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
▶	56.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
	41.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
▶	50.0%	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64)))
▶	32.6%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 147 to 140 computations (4.8% saved)

simplify51.0ms (0.7%)

Memory

10.2MiB live, 49.6MiB 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)

localize41.0ms (0.6%)

Memory

9.4MiB live, 87.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0.006191259768442017	(-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64))
accuracy	0.0078125	(/.f64 (-.f64 z x) y)
accuracy	31.98112749143208	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64)))
accuracy	0	(-.f64 x y)
accuracy	0.0078125	(/.f64 (-.f64 x y) z)
accuracy	28.986609844185164	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
accuracy	0	(-.f64 z y)
accuracy	0.0078125	(/.f64 x (-.f64 z y))
accuracy	27.817133808850272	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
accuracy	43.138508722864174	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))
accuracy	0	(-.f64 z y)
accuracy	0.006191259768442017	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
accuracy	0.0078125	(/.f64 y (-.f64 z y))
accuracy	0.0078125	(/.f64 x (-.f64 z y))

Samples

30.0ms

256×

valid

Compiler

Compiled 99 to 17 computations (82.8% saved)

Precisions

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

ival-div: 9.0ms (52.5% of total)

ival-sub: 8.0ms (46.6% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (0.7%)

Memory

-21.9MiB live, 103.1MiB 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>) () ())) ())
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#s(alt (* x (- (/ z (* x y)) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 z x) y) (patch (/.f64 (-.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z (* x y)) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 z x) y) (patch (/.f64 (-.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#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 (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#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 (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#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 (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#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 (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) #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
18.0ms	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))
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	z	@	-inf	((- (/ x (- z y)) (/ y (- z y))) (/ x (- z y)) (- z y) (/ y (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
3.0ms	z	@	inf	((- (/ x (- z y)) (/ y (- z y))) (/ x (- z y)) (- z y) (/ y (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))
2.0ms	x	@	0	((- (/ x (- z y)) (/ y (- z y))) (/ x (- z y)) (- z y) (/ y (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) (- z y)) (/ (- x y) z) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ (- z x) y) (- z x))

simplify251.0ms (3.7%)

Memory

-17.4MiB live, 220.9MiB 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)
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(/ z y)
(* -1 (* z (- (* -1 (/ (+ 1 (* -1 (/ x y))) z)) (/ 1 y))))
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x
(+ x (* -1 y))
(+ x (* -1 y))
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(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z))
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(+ (* 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)))
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(/ (+ (* -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
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(- (+ 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
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(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))))
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1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y)))
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1
(- (+ 1 (/ z y)) (/ x y))
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(- (+ 1 (/ z y)) (/ x y))
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
1
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-1
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1
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1
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1
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(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
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(- (/ x (- z y)) (/ y (- z y)))
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(/ x (- 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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z
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(* 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
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(* -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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(* -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))))
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(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
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(* -1 (* x (+ 1 (* -1 (/ z x)))))

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

rewrite440.0ms (6.4%)

Memory

30.3MiB live, 222.6MiB 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 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 z y)) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x 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 (fma.f64 y (+.f64 y z) (*.f64 z 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 (fma.f64 y (+.f64 y x) (*.f64 x 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 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 y z) (*.f64 z 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 (fma.f64 y (+.f64 y x) (.f64 x 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 (fma.f64 y (+.f64 y z) (.f64 z 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)))) (fma.f64 y (+.f64 y z) (.f64 z 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 (fma.f64 (/.f64 y (-.f64 z y)) (.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (+.f64 y x)) (pow.f64 (/.f64 x (-.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)))
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(fma.f64 z (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (+.f64 (/.f64 z y) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 z y) (/.f64 x y))))
(-.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 z y) (/.f64 x y))))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 z y) (/.f64 x y))))))
(-.f64 (/.f64 (.f64 y z) (.f64 y y)) (/.f64 (.f64 y x) (.f64 y y)))
(-.f64 (/.f64 (.f64 z z) (.f64 y (+.f64 z x))) (/.f64 (.f64 x x) (.f64 y (+.f64 z x))))
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 y (fma.f64 z z (.f64 x (+.f64 z x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y (fma.f64 z z (.f64 x (+.f64 z x))))))
(-.f64 (/.f64 (/.f64 (.f64 z z) (+.f64 z x)) y) (/.f64 (/.f64 (.f64 x x) (+.f64 z x)) y))
(-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) y) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 z x) (neg.f64 y)))
(-.f64 (/.f64 z y) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 z x))) #s(literal -1 binary64)))
(+.f64 (/.f64 z y) (neg.f64 (/.f64 x y)))
(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 z z (.f64 x (+.f64 z x))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z z) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (.f64 z z) (+.f64 z x)) (fma.f64 (/.f64 (.f64 x x) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x)) (.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 z z) (.f64 (neg.f64 x) z))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (neg.f64 (+.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x))))))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 z x)) (.f64 (+.f64 z x) (.f64 x x))) (*.f64 (+.f64 z x) (+.f64 z x)))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))) (.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 z x))) (neg.f64 (-.f64 z (neg.f64 x))))
(/.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 (fma.f64 z z (*.f64 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))) (fma.f64 z z (*.f64 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)) (fma.f64 z z (.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (.f64 x (+.f64 z x)))))
(-.f64 z x)
(+.f64 (neg.f64 x) z)
(+.f64 z (neg.f64 x))

eval327.0ms (4.8%)

Memory: 4.0MiB live, 200.1MiB allocated
Compiler: Compiled 19 974 to 2 455 computations (87.7% saved)

prune210.0ms (3%)

Memory

-12.6MiB live, 184.0MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 075	7	1 082
Fresh	2	3	5
Picked	2	3	5
Done	0	1	1
Total	1 079	14	1 093

Accuracy

100.0%

Counts

1 093 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 z y))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y)))
▶	50.5%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
✓	54.7%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
	19.8%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
	49.4%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	56.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
	54.8%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z))))
▶	20.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
	41.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
	54.6%	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z)))
▶	2.6%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
▶	50.5%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
✓	32.6%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 157 to 163 computations (-3.8% saved)

simplify118.0ms (1.7%)

Memory

4.1MiB live, 48.9MiB 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 x y)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff	0	#s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
cost-diff	0	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- z y) (neg.f64 y))
cost-diff	0	(/.f64 x #s(approx (- z y) (neg.f64 y)))
cost-diff	0	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (- (/ (- z x) y) -1) (/.f64 z y))
cost-diff	0	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(-.f64 z y)
cost-diff	0	(/.f64 (-.f64 z y) (-.f64 x y))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y)))

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	163
0	40	163
1	64	163
2	102	161
3	190	161
4	380	161
5	680	161
6	1313	161
7	1682	161
8	1913	161
9	2113	161
10	2357	161
11	2617	161
12	2642	161
13	2642	161
14	2642	161
0	2642	161

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize105.0ms (1.5%)

Memory

6.8MiB live, 43.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.01953125	(/.f64 (-.f64 y x) y)
accuracy	31.648726260819878	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
accuracy	0	(/.f64 x y)
accuracy	0.006191259768442017	(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	21.684451472899546	#s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy	31.98112749143208	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(/.f64 x #s(approx (- z y) (neg.f64 y)))
accuracy	27.817133808850272	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
accuracy	32.781736812065816	#s(approx (- z y) (neg.f64 y))
accuracy	0	(/.f64 z y)
accuracy	31.98112749143208	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
accuracy	40.689439456378636	#s(approx (- (/ (- z x) y) -1) (/.f64 z y))
accuracy	0	(-.f64 z y)
accuracy	0	(-.f64 x y)
accuracy	0.03515625	(/.f64 (-.f64 z y) (-.f64 x y))
accuracy	0.21681230442032529	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y)))

Samples

93.0ms

256×

valid

Compiler

Compiled 108 to 22 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-div: 67.0ms (84.4% of total)

ival-sub: 10.0ms (12.6% of total)

ival-neg: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.6%)

Memory

-1.9MiB live, 35.4MiB allocated

Counts

18 → 528

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ (- x y) y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (- x y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) (-.f64 x y)) (patch (/.f64 (-.f64 z y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- x y))) (/ z (- x y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) (-.f64 x y)) (patch (/.f64 (-.f64 z y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- x y))) (/ z (- x y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) (-.f64 x y)) (patch (/.f64 (-.f64 z y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- x y))) (/ z (- x y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) (-.f64 x y)) (patch (/.f64 (-.f64 z y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
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#s(alt (* x (- (+ (/ 1 x) (/ z (* x y))) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- z y) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 z y) (-.f64 x y)) (patch (/.f64 (-.f64 z y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (- z y)) (* -1 (/ (* y (- z y)) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 z y) (-.f64 x y)) (patch (/.f64 (-.f64 z y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (- z y)) (* -1 (/ (+ (* y (- z y)) (/ (* (pow y 2) (- z y)) x)) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 z y) (-.f64 x y)) (patch (/.f64 (-.f64 z y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (- z y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- z y))) (* -1 (/ (* (pow y 3) (- z y)) x))) x)) (* y (- z y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 z y) (-.f64 x y)) (patch (/.f64 (-.f64 z y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y))) (patch #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y))) (patch #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y))) (patch #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y))) (patch #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt #s(approx (- (/ (- z x) y) -1) (/.f64 z y)) (patch #s(approx (- (/ (- z x) y) -1) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ (- z x) y) -1) (/.f64 z y)) (patch #s(approx (- (/ (- z x) y) -1) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ (- z x) y) -1) (/.f64 z y)) (patch #s(approx (- (/ (- z x) y) -1) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ (- z x) y) -1) (/.f64 z y)) (patch #s(approx (- (/ (- z x) y) -1) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- z y) (neg.f64 y))) (patch (/.f64 x #s(approx (- z y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- z y) (neg.f64 y))) (patch (/.f64 x #s(approx (- z y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- z y) (neg.f64 y))) (patch (/.f64 x #s(approx (- z y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- z y) (neg.f64 y))) (patch (/.f64 x #s(approx (- z y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -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 #s(literal 1 binary64) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -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 #s(literal 1 binary64) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -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 #s(literal 1 binary64) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- z 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
2.0ms	x	@	inf	((/ 1 (/ (- z y) (- x y))) (/ (- z y) (- x y)) (- z y) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ z y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (neg y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (- 1 (/ x y)) (/ x y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))
2.0ms	x	@	-inf	((/ 1 (/ (- z y) (- x y))) (/ (- z y) (- x y)) (- z y) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ z y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (neg y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (- 1 (/ x y)) (/ x y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))
2.0ms	y	@	-inf	((/ 1 (/ (- z y) (- x y))) (/ (- z y) (- x y)) (- z y) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ z y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (neg y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (- 1 (/ x y)) (/ x y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))
2.0ms	y	@	inf	((/ 1 (/ (- z y) (- x y))) (/ (- z y) (- x y)) (- z y) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ z y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (neg y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (- 1 (/ x y)) (/ x y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))
1.0ms	z	@	-inf	((/ 1 (/ (- z y) (- x y))) (/ (- z y) (- x y)) (- z y) (- x y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (/ z y) (/ (- x y) (- z y)) (/ x (- z y)) (- z y) (neg y) (/ (- x y) (- z y)) (- (/ (- z x) y) -1) (- 1 (/ x y)) (/ x y) (/ (- x y) (- z y)) (/ (- y x) y) (- y x))

simplify270.0ms (3.9%)

Memory

9.5MiB live, 264.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 394×	`lower-fma.f64`
8 394×	`lower-fma.f32`
4 736×	`lower-*.f64`
4 736×	`lower-*.f32`
2 430×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	480	5794
1	1469	5453
2	4608	5302
0	8237	5070

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 516

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

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

rewrite167.0ms (2.4%)

Memory

-7.2MiB live, 256.2MiB allocated

Rules

5 688×	`lower-/.f32`
5 676×	`lower-/.f64`
3 710×	`lower-*.f64`
3 710×	`lower-*.f32`
3 542×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	150
0	40	148
1	168	148
2	1337	148
0	8739	148

Stop Event

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

Counts

18 → 632

Calls

Call 1

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

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

eval175.0ms (2.5%)

Memory: 15.3MiB live, 247.9MiB allocated
Compiler: Compiled 18 550 to 2 560 computations (86.2% saved)

prune163.0ms (2.4%)

Memory

-8.6MiB live, 240.5MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	1 147	1	1 148
Fresh	0	5	5
Picked	1	4	5
Done	0	4	4
Total	1 148	14	1 162

Accuracy

100.0%

Counts

1 162 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 z y))
	49.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- z y) (- x y)) (-.f64 #s(literal 1 binary64) (/.f64 z y))))
✓	50.5%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
✓	54.7%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
▶	19.8%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
▶	49.4%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	56.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
▶	54.8%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z))))
✓	20.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
▶	41.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
▶	54.6%	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z)))
✓	2.6%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
✓	50.5%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
✓	32.6%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 131 to 136 computations (-3.8% saved)

simplify196.0ms (2.9%)

Memory

-12.1MiB live, 104.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3 672×	`lower-fma.f64`
3 672×	`lower-fma.f32`
3 068×	`div-sub`
1 952×	`lower-*.f32`
1 950×	`lower-*.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	24	168
0	34	168
1	50	168
2	75	168
3	133	168
4	359	152
5	692	152
6	1429	148
7	3198	148
8	3977	148
9	4600	148
10	4774	148
11	4850	148
12	4922	148
13	5836	148
14	6303	148
15	6459	148
16	6569	148
17	6617	148
18	6661	148
19	6851	148
20	7751	148
0	8015	148

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (1%)

Memory

16.4MiB live, 133.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0	(/.f64 x z)
accuracy	1.8616496889194711	(-.f64 (/.f64 x z) (/.f64 y z))
accuracy	28.986609844185164	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z)))
accuracy	0	(-.f64 y z)
accuracy	0.0078125	(/.f64 y (-.f64 y z))
accuracy	32.35735889982847	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(/.f64 #s(approx (- x y) (neg.f64 y)) z)
accuracy	28.986609844185164	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
accuracy	33.951254518649726	#s(approx (- x y) (neg.f64 y))
accuracy	0	(/.f64 x z)
accuracy	37.19438719214975	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
accuracy	0	#s(approx (- z y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z))
accuracy	0.0078125	(/.f64 x #s(approx (- z y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)))
accuracy	8.649539927083353	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
accuracy	27.817133808850272	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z))))

Samples

56.0ms

256×

valid

Compiler

Compiled 107 to 19 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 10.0ms (46.6% of total)

ival-sub: 9.0ms (41.9% of total)

ival-mult: 2.0ms (9.3% of total)

ival-neg: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Memory

-11.9MiB live, 66.0MiB allocated

Counts

16 → 468

Calls

Call 1

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

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

Calls

9 calls:

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

simplify296.0ms (4.3%)

Memory

-5.3MiB live, 244.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 750×	`lower-fma.f64`
9 750×	`lower-fma.f32`
4 612×	`lower-*.f64`
4 612×	`lower-*.f32`
2 804×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	412	5121
1	1251	4826
2	3776	4511
0	8214	4338

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 456

Calls

Call 1

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

rewrite389.0ms (5.6%)

Memory

35.4MiB live, 266.5MiB allocated

Rules

5 358×	`lower-/.f32`
5 348×	`lower-/.f64`
4 744×	`lower-*.f32`
4 742×	`lower-*.f64`
2 918×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	144
0	34	140
1	141	140
2	1128	140
0	8332	140

Stop Event

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

Counts

16 → 401

Calls

Call 1

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

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

eval234.0ms (3.4%)

Memory: 0.3MiB live, 321.5MiB allocated
Compiler: Compiled 13 649 to 2 102 computations (84.6% saved)

prune167.0ms (2.4%)

Memory

-46.2MiB live, 285.8MiB allocated

Pruning

14 alts after pruning (1 fresh and 13 done)

	Pruned	Kept	Total
New	968	0	968
Fresh	0	1	1
Picked	0	5	5
Done	0	8	8
Total	968	14	982

Accuracy

100.0%

Counts

982 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 z y))
	49.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- z y) (- x y)) (-.f64 #s(literal 1 binary64) (/.f64 z y))))
✓	50.5%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y))
✓	54.7%	#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z))
✓	19.8%	#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z))
✓	49.4%	#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))
✓	56.5%	#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
✓	54.8%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z))))
✓	20.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y))))
✓	41.9%	#s(approx (/ (- x y) (- z y)) (/.f64 x z))
✓	54.6%	#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z)))
✓	2.6%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (/.f64 z y)))
✓	50.5%	#s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
✓	32.6%	#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64))

Compiler

Compiled 225 to 150 computations (33.3% saved)

regimes29.0ms (0.4%)

Memory

21.1MiB live, 61.9MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
6.0ms	x
6.0ms	z
6.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes28.0ms (0.4%)

Memory

-15.6MiB live, 60.2MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	x
8.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
6.0ms	y
5.0ms	z

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

11.4MiB live, 48.4MiB allocated

Counts

11 → 4

Calls

Call 1

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

Calls

4 calls:

7.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Results

Accuracy	Segments	Branch
77.5%	3	`x`
82.3%	4	`y`
83.7%	3	`z`
99.0%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB 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)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z)))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
86.3%	3	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
86.0%	3	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes14.0ms (0.2%)

Memory

-9.9MiB live, 36.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.9%	3	`x`
73.2%	3	`y`
71.9%	3	`z`
74.0%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes9.0ms (0.1%)

Memory

-17.0MiB live, 22.0MiB allocated

Counts

5 → 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))

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

3 calls:

4.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
57.7%	5	`z`
73.3%	4	`(/.f64 (-.f64 x y) (-.f64 z y))`
63.6%	3	`y`

Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes2.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
70.7%	3	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory

-18.4MiB live, 20.6MiB allocated

Accuracy

Total -19.4b remaining (-44.9%)

Threshold costs -19.4b (-44.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
32.6%	1	`x`
32.6%	1	`z`
32.6%	1	`y`
32.6%	1	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0	25.558070643392544
0.0ms	5.771679357356179e-7	0.2304640140425281
0.0ms	-3327.333194405334	-2.887779741815688e-5

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	25.558070643392544
0.0ms	2.662709362986161e-91	8.21826704293547e-71

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	25.558070643392544
0.0ms	7.041236760945814e-14	5.743493039514261e-12

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch23.0ms (0.3%)

Memory

18.0MiB live, 56.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.078822302413439e-98	5.413971753337828e-96
11.0ms	-1.9375083384668534e-58	-3.13391510868959e-67

Samples

10.0ms

256×

valid

Compiler

Compiled 186 to 252 computations (-35.5% saved)

Precisions

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

ival-sub: 2.0ms (46.8% of total)

ival-div: 2.0ms (46.8% of total)

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

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

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0	25.558070643392544
0.0ms	7.041236760945814e-14	5.743493039514261e-12
0.0ms	-1.3836637898251346e+86	-6.7590304525122085e+81

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	25.558070643392544
0.0ms	7.041236760945814e-14	5.743493039514261e-12

Compiler

Compiled 10 to 12 computations (-20% saved)

simplify153.0ms (2.2%)

Memory

-28.9MiB live, 59.5MiB allocated

Algorithm

1×	egg-herbie

Rules

118×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
102×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
86×	`neg-mul-1-binary64-*.f64-neg.f64`
76×	`neg-sub0-binary64--.f64-neg.f64`
60×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	432
1	74	432
2	93	432
3	107	432
4	126	432
5	158	432
6	199	432
7	243	432
8	287	432
9	340	432
10	389	432
11	441	432
12	483	432
13	500	432
14	503	432

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 -2000 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4586997231980143/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 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 3961408125713217/39614081257132168796771975168 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))
(if (<=.f64 y #s(literal -8684406692798715/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) (if (<=.f64 y #s(literal 1394846410761035/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 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 3961408125713217/39614081257132168796771975168 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 3961408125713217/39614081257132168796771975168 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 -2000 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -2000 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4586997231980143/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 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 4586997231980143/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 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 3961408125713217/39614081257132168796771975168 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))
(if (<=.f64 y #s(literal -8684406692798715/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) (if (<=.f64 y #s(literal 1394846410761035/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) #s(approx (/ (- x y) (- z y)) #s(approx (- (/ (- z x) y) -1) (-.f64 #s(literal 1 binary64) (/.f64 x y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 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 3961408125713217/39614081257132168796771975168 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 -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 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 3961408125713217/39614081257132168796771975168 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 3961408125713217/39614081257132168796771975168 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 3961408125713217/39614081257132168796771975168 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))

soundness802.0ms (11.6%)

Memory

24.0MiB live, 573.5MiB 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	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
0	6	13
0	9	13
1	46	13
2	368	13
3	5378	13
0	8274	13

Stop Event

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

Compiler

Compiled 335 to 151 computations (54.9% saved)

preprocess109.0ms (1.6%)

Memory: 7.5MiB live, 166.1MiB allocated
Compiler: Compiled 544 to 136 computations (75% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	61	432
1	74	432
2	93	432
3	107	432
4	126	432
5	158	432
6	199	432
7	243	432
8	287	432
9	340	432
10	389	432
11	441	432
12	483	432
13	500	432
14	503	432

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	61	432
1	74	432
2	93	432
3	107	432
4	126	432
5	158	432
6	199	432
7	243	432
8	287	432
9	340	432
10	389	432
11	441	432
12	483	432
13	500	432
14	503	432

start0.0ms (0%)

analyze39.0ms (0.6%)

sample995.0ms (14.5%)

explain177.0ms (2.6%)

preprocess103.0ms (1.5%)

eval5.0ms (0.1%)

prune2.0ms (0%)

simplify23.0ms (0.3%)

localize17.0ms (0.2%)

series12.0ms (0.2%)

simplify181.0ms (2.6%)

rewrite182.0ms (2.6%)

eval70.0ms (1%)

prune82.0ms (1.2%)

simplify51.0ms (0.7%)

localize41.0ms (0.6%)

series50.0ms (0.7%)

simplify251.0ms (3.7%)

rewrite440.0ms (6.4%)

eval327.0ms (4.8%)

prune210.0ms (3%)

simplify118.0ms (1.7%)

localize105.0ms (1.5%)

series44.0ms (0.6%)

simplify270.0ms (3.9%)

rewrite167.0ms (2.4%)

eval175.0ms (2.5%)

prune163.0ms (2.4%)

simplify196.0ms (2.9%)

localize68.0ms (1%)

series27.0ms (0.4%)

simplify296.0ms (4.3%)

rewrite389.0ms (5.6%)

eval234.0ms (3.4%)

prune167.0ms (2.4%)

regimes29.0ms (0.4%)

regimes28.0ms (0.4%)

regimes20.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch23.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify153.0ms (2.2%)

soundness802.0ms (11.6%)

preprocess109.0ms (1.6%)

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	61	432
1	74	432
2	93	432
3	107	432
4	126	432
5	158	432
6	199	432
7	243	432
8	287	432
9	340	432
10	389	432
11	441	432
12	483	432
13	500	432
14	503	432