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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze33.0ms (0.6%)

Memory

13.0MiB live, 50.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample954.0ms (18.1%)

Memory

-24.5MiB live, 1 290.2MiB allocated

Samples

714.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-div: 60.0ms (34.6% of total)

ival-sub: 53.0ms (30.5% of total)

ival-add: 52.0ms (30% of total)

ival-true: 5.0ms (2.9% of total)

ival-assert: 4.0ms (2.3% of total)

Bogosity

explain126.0ms (2.4%)

Memory

-30.2MiB live, 131.6MiB 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

22.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-div: 4.0ms (45.1% of total)

ival-sub: 3.0ms (33.8% of total)

ival-add: 2.0ms (22.5% of total)

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

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

preprocess134.0ms (2.5%)

Memory

14.3MiB live, 92.9MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify49.0ms (0.9%)

Memory

3.8MiB live, 45.8MiB 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

localize28.0ms (0.5%)

Memory

-10.0MiB live, 29.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.00390625	(+.f64 x (/.f64 (-.f64 y x) z))
accuracy	0.015625	(/.f64 (-.f64 y x) z)

Samples

24.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (37% of total)

ival-sub: 1.0ms (18.5% of total)

ival-true: 1.0ms (18.5% of total)

ival-add: 1.0ms (18.5% of total)

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

series9.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB 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))

simplify171.0ms (3.2%)

Memory

3.7MiB live, 122.9MiB 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)

rewrite229.0ms (4.3%)

Memory

-20.4MiB live, 176.9MiB 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)))) (fma.f64 (/.f64 (-.f64 y x) z) (+.f64 (/.f64 (-.f64 y x) z) x) (.f64 x 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 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x 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 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x x)) (/.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x))))
(.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x x)) (.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x 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 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x 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 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x 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))) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 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 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (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 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x 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))) (fma.f64 y y (.f64 x 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) (fma.f64 y y (*.f64 x 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 (+.f64 y x) x (.f64 y y)) #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 (+.f64 y x) x (.f64 y y)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 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 (+.f64 y x) x (.f64 y y))))
(/.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 (+.f64 y x) x (.f64 y y))))
(/.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 (+.f64 y x) x (.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(/.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 (+.f64 y x) x (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))))
(/.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 (+.f64 y x) x (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(/.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 (+.f64 y x) x (.f64 y y))) (.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x 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) (fma.f64 y y (*.f64 x 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 (+.f64 y x) x (.f64 y y)) (-.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 (+.f64 y x) x (.f64 y y)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 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 (+.f64 y x) x (*.f64 y y))))
(/.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 (+.f64 y x) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(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 (+.f64 y x) x (.f64 y y)))))
(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 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y)) (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 (+.f64 y x) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(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 (+.f64 y x) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(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 (+.f64 y x) x (.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (+.f64 y x) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(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 (+.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))))
(-.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 (+.f64 y x) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval83.0ms (1.6%)

Memory: 25.7MiB live, 100.5MiB allocated
Compiler: Compiled 7 643 to 1 078 computations (85.9% saved)

prune119.0ms (2.2%)

Memory

-0.8MiB live, 86.5MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	422	7	429
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	422	8	430

Accuracy

100.0%

Counts

430 → 8

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)
	91.1%	(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
	96.9%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	76.4%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
▶	63.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	39.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	65.5%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 113 to 96 computations (15% saved)

simplify36.0ms (0.7%)

Memory

-16.8MiB live, 22.2MiB 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

localize48.0ms (0.9%)

Memory

3.8MiB live, 42.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0.00390625	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
accuracy	30.88165518553904	#s(approx (/ (- y x) z) (/.f64 y z))
accuracy	0	(-.f64 y x)
accuracy	0.015625	(/.f64 (-.f64 y x) z)
accuracy	23.609661212777954	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
accuracy	0	(/.f64 x z)
accuracy	0.00390625	(-.f64 x (/.f64 x z))
accuracy	22.07110624108472	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
accuracy	0	(/.f64 y z)
accuracy	38.744498391377505	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(-.f64 x y)
accuracy	0.11328125	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)

Samples

38.0ms

256×

valid

Compiler

Compiled 86 to 16 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 8.0ms (52.8% of total)

ival-sub: 3.0ms (19.8% of total)

ival-add: 2.0ms (13.2% of total)

ival-mult: 1.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (0.9%)

Memory

-15.6MiB live, 25.9MiB 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>) () ())) ())
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#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
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))
1.0ms	y	@	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))

simplify136.0ms (2.6%)

Memory

36.1MiB live, 146.2MiB 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)
(/.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)
(* -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)

rewrite236.0ms (4.5%)

Memory

4.8MiB live, 208.6MiB 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 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (.f64 x x)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64))))))
(.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 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (.f64 x 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 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64))))))
(/.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 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64))) (+.f64 x (/.f64 (-.f64 x y) z)))
(/.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x y) z))) #s(literal 1 binary64)))
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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 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (*.f64 x 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 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (*.f64 x 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 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (*.f64 x 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))) (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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))

eval208.0ms (3.9%)

Memory: -3.3MiB live, 222.2MiB allocated
Compiler: Compiled 14 624 to 1 879 computations (87.2% saved)

prune203.0ms (3.9%)

Memory

12.7MiB live, 202.1MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	997	4	1 001
Fresh	2	0	2
Picked	1	4	5
Done	0	1	1
Total	1 000	9	1 009

Accuracy

100.0%

Counts

1 009 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.3%	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	76.4%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
▶	48.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (.f64 z (neg.f64 x))) (.f64 z z)))
✓	63.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	29.0%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	39.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	60.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
✓	65.5%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 63 to 60 computations (4.8% saved)

simplify452.0ms (8.6%)

Memory

-58.0MiB live, 236.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
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 z (neg.f64 x))
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (.f64 z (neg.f64 x))) (.f64 z z)))
cost-diff	320	(fma.f64 y z (*.f64 z (neg.f64 x)))
cost-diff	640	(/.f64 (fma.f64 y z (.f64 z (neg.f64 x))) (.f64 z z))
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 x z)
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
cost-diff	704	(-.f64 (/.f64 y z) (/.f64 x z))

Rules

22 624×	`lower-fma.f32`
22 620×	`lower-fma.f64`
2 664×	`lower-*.f32`
2 660×	`lower-*.f64`
2 384×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	140
0	39	124
1	61	122
2	100	122
3	163	121
4	332	121
5	605	121
6	1592	121
7	3968	121
8	5668	121
9	6500	121
10	6684	121
11	6723	121
12	6736	121
13	7020	121
14	7054	121
15	7156	121
16	7176	121
17	7188	121
18	7200	121
19	7278	121
20	7512	121
21	7512	121
0	8440	121

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (2.5%)

Memory

-12.4MiB live, 107.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.11328125	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
accuracy	33.951254518649726	#s(approx (- x y) (neg.f64 y))
accuracy	0	(neg.f64 x)
accuracy	0.7578042428166806	(fma.f64 y z (*.f64 z (neg.f64 x)))
accuracy	22.03109885219099	(/.f64 (fma.f64 y z (.f64 z (neg.f64 x))) (.f64 z z))
accuracy	23.609661212777954	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (.f64 z (neg.f64 x))) (.f64 z z)))
accuracy	0	(neg.f64 x)
accuracy	0.015625	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	23.609661212777954	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy	29.507278789605408	#s(approx (- y x) (neg.f64 x))
accuracy	0	(/.f64 y z)
accuracy	0	(/.f64 x z)
accuracy	1.7148396216604116	(-.f64 (/.f64 y z) (/.f64 x z))
accuracy	23.609661212777954	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))

Samples

61.0ms

256×

valid

Compiler

Compiled 104 to 23 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 31.0ms (64.6% of total)

ival-div: 8.0ms (16.7% of total)

ival-sub: 3.0ms (6.3% of total)

ival-add: 3.0ms (6.3% 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)

series54.0ms (1%)

Memory

21.6MiB live, 60.6MiB allocated

Counts

16 → 444

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (/ (+ (* y z) (* z (neg x))) (* z z)) (+ (* y z) (* z (neg x))) (+ x (/ (- y x) z)) (* z (neg x)) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y))
2.0ms	z	@	0	((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (/ (+ (* y z) (* z (neg x))) (* z z)) (+ (* y z) (* z (neg x))) (+ x (/ (- y x) z)) (* z (neg x)) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y))
2.0ms	z	@	-inf	((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (/ (+ (* y z) (* z (neg x))) (* z z)) (+ (* y z) (* z (neg x))) (+ x (/ (- y x) z)) (* z (neg x)) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y))
2.0ms	z	@	inf	((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (/ (+ (* y z) (* z (neg x))) (* z z)) (+ (* y z) (* z (neg x))) (+ x (/ (- y x) z)) (* z (neg x)) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y))
2.0ms	y	@	inf	((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (/ (+ (* y z) (* z (neg x))) (* z z)) (+ (* y z) (* z (neg x))) (+ x (/ (- y x) z)) (* z (neg x)) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y))

simplify175.0ms (3.3%)

Memory

-6.0MiB live, 113.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 792×	`lower-fma.f64`
7 792×	`lower-fma.f32`
2 444×	`lower-*.f64`
2 444×	`lower-*.f32`
1 592×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	2038
1	354	2038
2	946	2038
3	2883	2038
4	5699	2038
5	7856	2038
0	8022	2026

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 430

Calls

Call 1

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

rewrite355.0ms (6.7%)

Memory

-3.8MiB live, 314.2MiB allocated

Rules

5 444×	`lower-*.f32`
5 440×	`lower-*.f64`
4 942×	`lower-/.f32`
4 932×	`lower-/.f64`
2 522×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	123
0	39	107
1	163	105
2	1504	105
0	8457	105

Stop Event

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

Counts

16 → 582

Calls

Call 1

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

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

eval124.0ms (2.4%)

Memory: 27.2MiB live, 294.1MiB allocated
Compiler: Compiled 14 481 to 1 527 computations (89.5% saved)

prune67.0ms (1.3%)

Memory

-5.8MiB live, 197.7MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	1 035	0	1 035
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	1 035	9	1 044

Accuracy

100.0%

Counts

1 044 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.3%	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	76.4%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
✓	48.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (.f64 z (neg.f64 x))) (.f64 z z)))
✓	63.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	29.0%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	39.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	60.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
✓	65.5%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 157 to 98 computations (37.6% saved)

regimes19.0ms (0.4%)

Memory

-21.4MiB live, 57.5MiB 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)))
(+.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)) (-.f64 (/.f64 y z) (/.f64 x z)))
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 y z (.f64 z (neg.f64 x))) (.f64 z 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:

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

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)

regimes10.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB allocated

Counts

5 → 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)))

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:

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

Results

Accuracy	Segments	Branch
87.5%	3	`x`
90.5%	3	`y`
99.5%	3	`z`
87.5%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

-27.3MiB live, 12.5MiB 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

2 calls:

3.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
85.3%	3	`y`
87.9%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes8.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB 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 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
80.0%	3	`y`
76.3%	3	`x`
65.5%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
72.9%	5	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes11.0ms (0.2%)

Memory

-30.7MiB live, 18.6MiB 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 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))

Calls

4 calls:

5.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
2.0ms	y
2.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
41.6%	2	`(+.f64 x (/.f64 (-.f64 y x) z))`
46.4%	3	`z`
50.9%	3	`x`
53.8%	3	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB 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	y
1.0ms	x
1.0ms	z
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
39.5%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
39.5%	1	`z`
39.5%	1	`x`
39.5%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch20.0ms (0.4%)

Memory

1.9MiB live, 41.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.77278655227634e-8	0.00027209589360373406
8.0ms	-3.116167922524117e+21	-1.754128989772987e+19

Samples

10.0ms

240×

valid

Compiler

Compiled 190 to 222 computations (-16.8% saved)

Precisions

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

ival-div: 2.0ms (49.5% of total)

ival-sub: 1.0ms (24.8% of total)

ival-add: 1.0ms (24.8% of total)

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

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

bsearch22.0ms (0.4%)

Memory

5.0MiB live, 44.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.506817057581325e+21	5.318716592650882e+30
8.0ms	-2.1765465295197944e+53	-1.1676793799157141e+52

Samples

10.0ms

256×

valid

Compiler

Compiled 202 to 236 computations (-16.8% saved)

Precisions

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

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

ival-sub: 1.0ms (22.9% of total)

ival-add: 1.0ms (22.9% of total)

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

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

bsearch16.0ms (0.3%)

Memory

-6.1MiB live, 33.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	4.488575307662846e+53	1.919259772447964e+55
5.0ms	-1.6125760757546537e+117	-9.307569237858622e+116

Samples

8.0ms

176×

valid

Compiler

Compiled 120 to 155 computations (-29.2% saved)

Precisions

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

ival-sub: 2.0ms (49% of total)

ival-div: 1.0ms (24.5% of total)

ival-add: 1.0ms (24.5% of total)

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

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

bsearch27.0ms (0.5%)

Memory

11.7MiB live, 51.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2981959484054569e-137	3.721675123864435e-119
13.0ms	-8.766894762450946e-37	-1.179007401752046e-41

Samples

11.0ms

304×

valid

Compiler

Compiled 200 to 278 computations (-39% saved)

Precisions

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

ival-sub: 2.0ms (38.7% of total)

ival-div: 2.0ms (38.7% of total)

ival-add: 1.0ms (19.4% of total)

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

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

simplify24.0ms (0.5%)

Memory

-15.7MiB live, 63.4MiB 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	197
1	54	197
2	63	197
3	68	197
4	71	197
5	72	197

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -18000000000000000000 binary64)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (if (<=.f64 z #s(literal 4980620899901579/18446744073709551616 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 -17999999999999999877977076138509303576310751954993152 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 1799999999999999913966436352 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 y #s(literal -1399999999999999986787170984725389444015446321807544161066967918311768310818328282011731558691051655170477960846114816 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 17999999999999999367553525757101608381248840807340834816 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (<=.f64 y #s(literal -3294865412861661/1532495540865888858358347027150309183618739122183602176 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 3270774259330231/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #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 y z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(if (<=.f64 z #s(literal -18000000000000000000 binary64)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (if (<=.f64 z #s(literal 4980620899901579/18446744073709551616 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 -18000000000000000000 binary64)) (+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (if (<=.f64 z #s(literal 4980620899901579/18446744073709551616 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 -17999999999999999877977076138509303576310751954993152 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 1799999999999999913966436352 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 y #s(literal -1399999999999999986787170984725389444015446321807544161066967918311768310818328282011731558691051655170477960846114816 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 17999999999999999367553525757101608381248840807340834816 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (<=.f64 y #s(literal -3294865412861661/1532495540865888858358347027150309183618739122183602176 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 3270774259330231/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #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 y z))

soundness852.0ms (16.1%)

Memory

-8.3MiB live, 350.4MiB 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 146 to 87 computations (40.4% saved)

preprocess49.0ms (0.9%)

Memory: 7.5MiB live, 128.6MiB allocated
Compiler: Compiled 228 to 96 computations (57.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze33.0ms (0.6%)

sample954.0ms (18.1%)

explain126.0ms (2.4%)

preprocess134.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify49.0ms (0.9%)

localize28.0ms (0.5%)

series9.0ms (0.2%)

simplify171.0ms (3.2%)

rewrite229.0ms (4.3%)

eval83.0ms (1.6%)

prune119.0ms (2.2%)

simplify36.0ms (0.7%)

localize48.0ms (0.9%)

series47.0ms (0.9%)

simplify136.0ms (2.6%)

rewrite236.0ms (4.5%)

eval208.0ms (3.9%)

prune203.0ms (3.9%)

simplify452.0ms (8.6%)

localize133.0ms (2.5%)

series54.0ms (1%)

simplify175.0ms (3.3%)

rewrite355.0ms (6.7%)

eval124.0ms (2.4%)

prune67.0ms (1.3%)

regimes19.0ms (0.4%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.2%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch20.0ms (0.4%)

bsearch22.0ms (0.4%)

bsearch16.0ms (0.3%)

bsearch27.0ms (0.5%)

simplify24.0ms (0.5%)

soundness852.0ms (16.1%)

preprocess49.0ms (0.9%)

end0.0ms (0%)

Profiling