Metrics for Statistics.Sample:$swelfordMean from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze59.0ms (1.2%)

Memory

12.5MiB live, 50.5MiB 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)

sample734.0ms (14.3%)

Memory

-21.0MiB live, 1 104.1MiB allocated

Samples

449.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

ival-sub: 103.0ms (41.3% of total)

ival-add: 77.0ms (30.8% of total)

ival-div: 61.0ms (24.4% of total)

ival-true: 6.0ms (2.4% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain65.0ms (1.3%)

Memory

12.8MiB live, 132.4MiB allocated

FPErrors

Click to see full error table

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

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

30.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-sub: 7.0ms (41.8% of total)

ival-add: 6.0ms (35.8% of total)

ival-div: 4.0ms (23.9% of total)

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

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

preprocess123.0ms (2.4%)

Memory

-0.7MiB live, 117.5MiB allocated

Algorithm

1×	egg-herbie

Rules

624×	`lower-fma.f64`
624×	`lower-fma.f32`
480×	`div-sub`
476×	`times-frac`
430×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	78	63
2	229	63
3	682	63
4	1689	63
5	3091	63
6	3495	63
7	3694	63
8	3817	63
9	3865	63
10	3865	63
0	6	7
0	9	7
1	15	7
2	26	7
3	45	7
4	88	7
5	158	7
6	350	7
7	636	7
8	905	7
9	986	7
10	1034	7
11	1073	7
0	1073	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify30.0ms (0.6%)

Memory

-10.3MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

624×	`lower-fma.f64`
624×	`lower-fma.f32`
256×	`lower-*.f64`
256×	`lower-*.f32`
160×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	45	18
4	88	18
5	158	18
6	350	18
7	636	18
8	905	18
9	986	18
10	1034	18
11	1073	18
0	1073	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.4%)

Memory

-8.0MiB live, 28.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.0078125	(/.f64 (-.f64 y x) z)
accuracy	0.01953125	(+.f64 x (/.f64 (-.f64 y x) z))

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 2.0ms (35.8% of total)

ival-div: 2.0ms (35.8% of total)

ival-add: 1.0ms (17.9% of total)

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

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

series9.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

Outputs
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (- x (/ x z)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x (* y z)) (/ 1 z)))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x (* y z)) (/ 1 z)))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x (* y z)) (/ 1 z)))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<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 (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<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
1.0ms	y	@	-inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	y	@	0	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	y	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	z	@	0	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	x	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))

simplify170.0ms (3.3%)

Memory

0.1MiB live, 126.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 368×	`lower-fma.f64`
6 368×	`lower-fma.f32`
2 116×	`lower-*.f64`
2 116×	`lower-*.f32`
1 680×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	460
1	198	460
2	553	460
3	1590	460
4	3540	460
5	5031	460
6	6478	460
7	6764	460
8	6864	460
9	6864	460
0	8148	457

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

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

Outputs
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
x
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
x
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ y z)
(/.f64 y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)

rewrite214.0ms (4.2%)

Memory

15.9MiB live, 315.0MiB allocated

Rules

3 808×	`lower-*.f64`
3 808×	`lower-*.f32`
3 560×	`lower-fma.f64`
3 560×	`lower-fma.f32`
2 654×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	46	15
2	408	15
3	5406	15
0	8250	15

Stop Event

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

Counts

3 → 338

Calls

Call 1

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

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

eval168.0ms (3.3%)

Memory: -7.2MiB live, 150.0MiB allocated
Compiler: Compiled 7 410 to 1 081 computations (85.4% saved)

prune39.0ms (0.8%)

Memory

-2.5MiB live, 37.3MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	422	7	429
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	423	7	430

Accuracy

100.0%

Counts

430 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
	91.4%	(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
	98.7%	(+.f64 x (fma.f64 x (/.f64 #s(literal -1 binary64) z) (/.f64 y z)))
▶	74.6%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
▶	61.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	36.9%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	65.5%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 108 to 92 computations (14.8% saved)

simplify39.0ms (0.8%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (/ (- y x) z) (/.f64 y z))
cost-diff	0	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
cost-diff	0	(/.f64 x z)
cost-diff	0	(-.f64 x (/.f64 x z))
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)

Rules

688×	`lower-fma.f32`
686×	`lower-fma.f64`
288×	`lower-*.f64`
288×	`lower-*.f32`
192×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	107
0	30	107
1	43	107
2	77	106
3	141	106
4	274	106
5	492	106
6	727	106
7	1089	106
8	1182	106
9	1213	106
10	1221	106
11	1223	106
0	1223	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize167.0ms (3.3%)

Memory

-2.8MiB live, 36.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0.01953125	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
accuracy	29.30862165336696	#s(approx (/ (- y x) z) (/.f64 y z))
accuracy	0	(-.f64 y x)
accuracy	0.0078125	(/.f64 (-.f64 y x) z)
accuracy	24.45029737825326	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
accuracy	0	(/.f64 x z)
accuracy	0.01171875	(-.f64 x (/.f64 x z))
accuracy	22.07204647852066	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
accuracy	0	(/.f64 y z)
accuracy	40.36923410259188	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(-.f64 x y)
accuracy	0.09765625	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)

Samples

153.0ms

256×

valid

Compiler

Compiled 86 to 16 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-sub: 130.0ms (92.2% of total)

ival-div: 7.0ms (5% of total)

ival-add: 2.0ms (1.4% of total)

ival-mult: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.6%)

Memory

-42.8MiB live, 32.0MiB allocated

Counts

13 → 384

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))
2.0ms	z	@	-inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))
1.0ms	z	@	0	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))
1.0ms	x	@	inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))
1.0ms	z	@	inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))

simplify183.0ms (3.6%)

Memory

18.6MiB live, 133.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 350×	`lower-fma.f64`
8 350×	`lower-fma.f32`
2 650×	`lower-*.f64`
2 650×	`lower-*.f32`
1 250×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	2401
1	242	2266
2	672	1859
3	1833	1859
4	4414	1859
5	6646	1859
6	7906	1859
0	8089	1859

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 366

Calls

Call 1

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

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

rewrite255.0ms (5%)

Memory

-9.3MiB live, 191.0MiB allocated

Rules

5 452×	`lower-fma.f32`
5 450×	`lower-fma.f64`
4 042×	`lower-/.f32`
4 034×	`lower-/.f64`
3 198×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	90
0	30	90
1	125	90
2	1100	89
0	8845	89

Stop Event

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

Counts

13 → 593

Calls

Call 1

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

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

eval194.0ms (3.8%)

Memory: -3.4MiB live, 152.1MiB allocated
Compiler: Compiled 14 447 to 1 891 computations (86.9% saved)

prune63.0ms (1.2%)

Memory

25.8MiB live, 62.8MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	997	4	1 001
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	999	9	1 008

Accuracy

100.0%

Counts

1 008 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
▶	91.4%	(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
✓	74.6%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
▶	60.6%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) (/.f64 y z)))
▶	65.5%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
✓	61.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	28.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	36.9%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	65.5%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 110 to 99 computations (10% saved)

simplify206.0ms (4%)

Memory

-5.1MiB live, 162.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y z)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) (/.f64 y z)))
cost-diff	896	(fma.f64 x (/.f64 #s(literal -1 binary64) z) (/.f64 y z))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
cost-diff	192	(fma.f64 x (/.f64 #s(literal -1 binary64) z) x)
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
cost-diff	0	(*.f64 (+.f64 y x) z)
cost-diff	0	(-.f64 y x)
cost-diff	0	(+.f64 y x)
cost-diff	1280	(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)

Rules

16 316×	`lower-fma.f32`
16 308×	`lower-fma.f64`
3 098×	`lower-*.f32`
3 096×	`lower-*.f64`
1 848×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	157
0	42	157
1	72	157
2	142	146
3	323	141
4	1004	141
5	2953	141
6	6551	141
0	8364	141

Stop Event

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

Calls

Call 1

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

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

localize83.0ms (1.6%)

Memory

-9.2MiB live, 113.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.8632729928166806	(fma.f64 x (/.f64 #s(literal -1 binary64) z) (/.f64 y z))
accuracy	24.45029737825326	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) (/.f64 y z)))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.09765625	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
accuracy	31.672229181852043	#s(approx (- x y) (neg.f64 y))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.0859375	(fma.f64 x (/.f64 #s(literal -1 binary64) z) x)
accuracy	22.07204647852066	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
accuracy	0	(neg.f64 x)
accuracy	0.0078125	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	24.45029737825326	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy	30.986023478177508	#s(approx (- y x) (neg.f64 x))
accuracy	0	(+.f64 y x)
accuracy	0.0078125	(*.f64 (+.f64 y x) z)
accuracy	0.0859375	(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
accuracy	15.861163520782476	(/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z))

Samples

62.0ms

256×

valid

Compiler

Compiled 126 to 24 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 22.0ms (46.5% of total)

ival-add: 15.0ms (31.7% of total)

ival-mult: 6.0ms (12.7% of total)

ival-sub: 2.0ms (4.2% of total)

ival-neg: 2.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series100.0ms (1.9%)

Memory

-10.2MiB live, 66.8MiB allocated

Counts

18 → 504

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
50.0ms	z	@	inf	((+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (- y x) (* (+ y x) z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* x (/ -1 z)) x) (+ x (/ (- y x) z)) (/ -1 z) (+ (* (/ -1 z) (- x y)) x) (- x y) (neg y) (+ (* x (/ -1 z)) (/ y z)) (+ x (/ (- y x) z)) (/ y z) (/ (- y x) (* (+ y x) z)))
4.0ms	x	@	inf	((+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (- y x) (* (+ y x) z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* x (/ -1 z)) x) (+ x (/ (- y x) z)) (/ -1 z) (+ (* (/ -1 z) (- x y)) x) (- x y) (neg y) (+ (* x (/ -1 z)) (/ y z)) (+ x (/ (- y x) z)) (/ y z) (/ (- y x) (* (+ y x) z)))
2.0ms	z	@	0	((+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (- y x) (* (+ y x) z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* x (/ -1 z)) x) (+ x (/ (- y x) z)) (/ -1 z) (+ (* (/ -1 z) (- x y)) x) (- x y) (neg y) (+ (* x (/ -1 z)) (/ y z)) (+ x (/ (- y x) z)) (/ y z) (/ (- y x) (* (+ y x) z)))
2.0ms	z	@	-inf	((+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (- y x) (* (+ y x) z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* x (/ -1 z)) x) (+ x (/ (- y x) z)) (/ -1 z) (+ (* (/ -1 z) (- x y)) x) (- x y) (neg y) (+ (* x (/ -1 z)) (/ y z)) (+ x (/ (- y x) z)) (/ y z) (/ (- y x) (* (+ y x) z)))
2.0ms	y	@	inf	((+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (- y x) (* (+ y x) z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* x (/ -1 z)) x) (+ x (/ (- y x) z)) (/ -1 z) (+ (* (/ -1 z) (- x y)) x) (- x y) (neg y) (+ (* x (/ -1 z)) (/ y z)) (+ x (/ (- y x) z)) (/ y z) (/ (- y x) (* (+ y x) z)))

simplify394.0ms (7.7%)

Memory

11.8MiB live, 307.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 420×	`lower-fma.f64`
14 420×	`lower-fma.f32`
4 720×	`lower-*.f64`
4 720×	`lower-*.f32`
2 664×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	3615
1	733	3435
2	2123	3388
3	6864	3384
0	8504	3265

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 477

Calls

Call 1

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

rewrite277.0ms (5.4%)

Memory

16.7MiB live, 341.5MiB allocated

Rules

5 222×	`lower-/.f32`
5 214×	`lower-/.f64`
4 062×	`lower-*.f32`
4 060×	`lower-*.f64`
2 804×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	135
0	42	135
1	175	128
2	1619	128
0	8156	128

Stop Event

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

Counts

18 → 522

Calls

Call 1

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

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

eval278.0ms (5.4%)

Memory: -19.4MiB live, 217.2MiB allocated
Compiler: Compiled 17 454 to 2 168 computations (87.6% saved)

prune36.0ms (0.7%)

Memory

34.2MiB live, 73.9MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	1 102	0	1 102
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	1 102	9	1 111

Accuracy

100.0%

Counts

1 111 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
✓	91.4%	(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
✓	74.6%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
✓	60.6%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) (/.f64 y z)))
✓	65.5%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
✓	61.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	28.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	36.9%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	65.5%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 157 to 95 computations (39.5% saved)

regimes37.0ms (0.7%)

Memory

-10.8MiB live, 28.5MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
4.0ms	y
4.0ms	z
4.0ms	x

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes91.0ms (1.8%)

Memory

-13.1MiB live, 26.6MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

82.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
88.6%	3	`x`
87.3%	3	`y`
99.1%	3	`z`
87.2%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes29.0ms (0.6%)

Memory

-12.0MiB live, 46.0MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
74.5%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`
78.4%	3	`y`
84.1%	5	`x`
86.0%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
75.4%	3	`y`
78.0%	3	`x`
65.5%	1	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes12.0ms (0.2%)

Memory

-21.0MiB live, 18.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
44.9%	3	`z`
45.1%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`
49.0%	3	`y`
50.7%	3	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
36.9%	1	`z`
36.9%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
36.9%	1	`y`
36.9%	1	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch26.0ms (0.5%)

Memory

-13.0MiB live, 65.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.769864921879983e-22	1.0615710915944446e-13
13.0ms	-1557.5010708291363	-0.00015465142961339508

Samples

14.0ms

288×

valid

Compiler

Compiled 226 to 264 computations (-16.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 3.0ms (48.2% of total)

ival-div: 2.0ms (32.1% of total)

ival-add: 1.0ms (16.1% of total)

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

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

bsearch19.0ms (0.4%)

Memory

17.3MiB live, 58.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	6.749706573092056e+20	4.0544189667592346e+21
10.0ms	-4.317371470941258e+134	-7.595833928373763e+132

Samples

10.0ms

208×

valid

Compiler

Compiled 166 to 194 computations (-16.9% saved)

Precisions

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

ival-div: 3.0ms (56.2% of total)

ival-sub: 1.0ms (18.7% of total)

ival-add: 1.0ms (18.7% of total)

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

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

bsearch22.0ms (0.4%)

Memory

-24.6MiB live, 53.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.0800168182868976e-115	5.948437800883242e-111
9.0ms	-1.1797546885409165e-160	-1.6454080638793792e-162

Samples

11.0ms

240×

valid

Compiler

Compiled 160 to 207 computations (-29.4% saved)

Precisions

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

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

ival-sub: 1.0ms (23.1% of total)

ival-add: 1.0ms (23.1% of total)

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

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

bsearch24.0ms (0.5%)

Memory

23.9MiB live, 62.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.062645349392053e+27	5.1918153709745646e+33
9.0ms	-1.2730617527946783e+36	-3.194496945098108e+32

Samples

11.0ms

272×

valid

Compiler

Compiled 180 to 250 computations (-38.9% saved)

Precisions

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

ival-div: 2.0ms (39.3% of total)

ival-sub: 1.0ms (19.7% of total)

ival-add: 1.0ms (19.7% of total)

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

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

simplify29.0ms (0.6%)

Memory

8.3MiB live, 88.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative-binary64-+.f64`
10×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`-commutative-binary64-.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	204
1	53	204
2	62	204
3	67	204
4	70	204
5	71	204

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (if (<=.f64 z #s(literal 8318957063997755/79228162514264337593543950336 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))
(if (<=.f64 z #s(literal -7600000000000000119434342000639202102957619740556231595461849419768429558810365575507390801484326869597455147583902944581734266568704 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 1700000000000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 x #s(literal -7281407019368197/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 8123055744494575/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 x #s(literal -2300000000000000105407332191567872 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 23999999999999998225431182442496 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (if (<=.f64 z #s(literal 8318957063997755/79228162514264337593543950336 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (if (<=.f64 z #s(literal 8318957063997755/79228162514264337593543950336 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x)))
(if (<=.f64 z #s(literal -7600000000000000119434342000639202102957619740556231595461849419768429558810365575507390801484326869597455147583902944581734266568704 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 1700000000000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 x #s(literal -7281407019368197/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 8123055744494575/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 x #s(literal -2300000000000000105407332191567872 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 23999999999999998225431182442496 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

soundness858.0ms (16.7%)

Memory

-0.4MiB live, 357.6MiB allocated

Rules

8 350×	`lower-fma.f64`
8 350×	`lower-fma.f32`
6 368×	`lower-fma.f64`
6 368×	`lower-fma.f32`
2 650×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	2401
1	242	2266
2	672	1859
3	1833	1859
4	4414	1859
5	6646	1859
6	7906	1859
0	8089	1859
0	71	460
1	198	460
2	553	460
3	1590	460
4	3540	460
5	5031	460
6	6478	460
7	6764	460
8	6864	460
9	6864	460
0	8148	457

Stop Event

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

Compiler

Compiled 150 to 87 computations (42% saved)

preprocess38.0ms (0.7%)

Memory: -24.8MiB live, 94.0MiB allocated
Compiler: Compiled 236 to 96 computations (59.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze59.0ms (1.2%)

sample734.0ms (14.3%)

explain65.0ms (1.3%)

preprocess123.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.6%)

localize18.0ms (0.4%)

series9.0ms (0.2%)

simplify170.0ms (3.3%)

rewrite214.0ms (4.2%)

eval168.0ms (3.3%)

prune39.0ms (0.8%)

simplify39.0ms (0.8%)

localize167.0ms (3.3%)

series31.0ms (0.6%)

simplify183.0ms (3.6%)

rewrite255.0ms (5%)

eval194.0ms (3.8%)

prune63.0ms (1.2%)

simplify206.0ms (4%)

localize83.0ms (1.6%)

series100.0ms (1.9%)

simplify394.0ms (7.7%)

rewrite277.0ms (5.4%)

eval278.0ms (5.4%)

prune36.0ms (0.7%)

regimes37.0ms (0.7%)

regimes91.0ms (1.8%)

regimes29.0ms (0.6%)

regimes6.0ms (0.1%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch26.0ms (0.5%)

bsearch19.0ms (0.4%)

bsearch22.0ms (0.4%)

bsearch24.0ms (0.5%)

simplify29.0ms (0.6%)

soundness858.0ms (16.7%)

preprocess38.0ms (0.7%)

end0.0ms (0%)

Profiling