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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze49.0ms (0.9%)

Memory

-10.2MiB live, 62.6MiB 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)

sample915.0ms (16.9%)

Memory

16.7MiB live, 1 175.2MiB allocated

Samples

628.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 350.0ms

ival-div: 214.0ms (61.1% of total)

ival-sub: 71.0ms (20.3% of total)

ival-add: 56.0ms (16% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain112.0ms (2.1%)

Memory

20.1MiB live, 134.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

45.0ms

512×

valid

Compiler

Compiled 101 to 40 computations (60.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (39.7% of total)

ival-sub: 3.0ms (29.7% of total)

ival-add: 2.0ms (19.8% of total)

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

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

preprocess118.0ms (2.2%)

Memory

-24.2MiB live, 58.0MiB allocated

Algorithm

1×	egg-herbie

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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify29.0ms (0.5%)

Memory

5.8MiB live, 43.8MiB 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))

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

localize20.0ms (0.4%)

Memory

-0.0MiB live, 37.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.01171875	(/.f64 (-.f64 y x) z)
accuracy	0.01171875	(+.f64 x (/.f64 (-.f64 y x) z))

Samples

14.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (42.6% of total)

ival-sub: 1.0ms (21.3% of total)

ival-add: 1.0ms (21.3% of total)

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

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

series9.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB 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	x	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	z	@	0	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))

simplify156.0ms (2.9%)

Memory

-26.7MiB live, 128.3MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite208.0ms (3.8%)

Memory

16.3MiB live, 260.8MiB allocated

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
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eval74.0ms (1.4%)

Memory: -9.1MiB live, 112.5MiB allocated
Compiler: Compiled 7 643 to 1 078 computations (85.9% saved)

prune23.0ms (0.4%)

Memory

-13.3MiB live, 26.2MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	423	6	429
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	423	7	430

Accuracy

100.0%

Counts

430 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	75.3%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
	89.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
▶	67.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	43.9%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	58.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 85 to 80 computations (5.9% saved)

simplify39.0ms (0.7%)

Memory

19.3MiB live, 19.3MiB 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)

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	493	106
6	730	106
7	1088	106
8	1184	106
9	1215	106
10	1223	106
11	1225	106
0	1225	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

localize70.0ms (1.3%)

Memory

0.7MiB live, 37.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0.01171875	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
accuracy	28.43889675373308	#s(approx (/ (- y x) z) (/.f64 y z))
accuracy	0	(-.f64 y x)
accuracy	0.01171875	(/.f64 (-.f64 y x) z)
accuracy	20.57917158423185	#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	26.87108356922916	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
accuracy	0	(/.f64 y z)
accuracy	35.8899935673337	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(-.f64 x y)
accuracy	0.15625	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)

Samples

59.0ms

256×

valid

Compiler

Compiled 162 to 33 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 10.0ms (55.5% of total)

ival-sub: 4.0ms (22.2% of total)

ival-add: 2.0ms (11.1% of total)

ival-mult: 2.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.4%)

Memory

20.9MiB live, 20.9MiB 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>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ())) ())
#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 (/ (- y x) z) (taylor 0 z) (#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 (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#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 (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#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 (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#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 z)) (taylor 0 z) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x z) x) z) (taylor 0 z) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x z) x) z) (taylor 0 z) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x z) x) z) (taylor 0 z) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#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 (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#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 (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#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 (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#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 (/ (- 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 (/ (- y x) z) (taylor 0 z) (#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 (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#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 (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#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 (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#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 (/ (- y x) z) (taylor 0 z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf 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 (+ x (* -1 (/ (- x y) z))) (taylor inf 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 (+ x (* -1 (/ (- x y) z))) (taylor inf 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 (+ x (* -1 (/ (- x y) z))) (taylor inf 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 inf z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#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 (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#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 (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#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 (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#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 (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#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 (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#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 (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#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 (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#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 x (taylor inf z) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x z))) (taylor inf z) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x z))) (taylor inf z) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x z))) (taylor inf z) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#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 (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#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 (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#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>) () ())) ())
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#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 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 z)) (/ y z)) (taylor 0 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 z)) (/ y z)) (taylor 0 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 (- 1 (/ 1 z))) (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 (- (+ 1 (/ y (* x z))) (/ 1 z))) (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 (- (+ 1 (/ y (* x z))) (/ 1 z))) (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 (- (+ 1 (/ y (* x z))) (/ 1 z))) (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 (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 z))) (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 (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (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 (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (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 (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (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 (* x (- 1 (/ 1 z))) (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 (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (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 (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (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 (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (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 (* x (- 1 (/ 1 z))) (taylor inf x) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 z))) (taylor inf x) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 z))) (taylor inf x) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 z))) (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 (* x (- 1 (/ 1 z))) (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 (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (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 (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (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 (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (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 (* 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 (* x (- 1 (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	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	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	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	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))

simplify264.0ms (4.9%)

Memory

-12.3MiB live, 106.1MiB allocated

Algorithm

1×	egg-herbie

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)
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(/ (- y x) z)
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(/ (- 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)
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(/ -1 z)
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x
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x
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y
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(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
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(* -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)
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(/ -1 z)
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(/ -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)
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(/ y z)
(/.f64 y z)
(/ y z)
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(/.f64 y z)
(/ y z)
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(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
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(/ (- (+ y (* x z)) x) z)
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(/ (- (+ y (* x z)) x) z)
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
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(/ (- (* x z) x) z)
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(/ (- (* x z) x) z)
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(/ x z)
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(/ (- (+ y (* x z)) x) z)
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(/ (- (+ y (* x z)) x) z)
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(/ (- y x) z)
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(/ (- y x) z)
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(/.f64 (-.f64 y x) z)
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(- x (/ x z))
(-.f64 x (/.f64 x z))
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(- (+ x (/ y z)) (/ x z))
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(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
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rewrite355.0ms (6.6%)

Memory

-31.6MiB live, 256.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	90
0	30	90
1	125	90
2	1100	89
0	8837	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
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eval244.0ms (4.5%)

Memory: 32.1MiB live, 224.4MiB allocated
Compiler: Compiled 14 624 to 1 879 computations (87.2% saved)

prune69.0ms (1.3%)

Memory

-9.8MiB live, 66.2MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	998	3	1 001
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	999	9	1 008

Accuracy

100.0%

Counts

1 008 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.2%	(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))
✓	75.3%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
▶	89.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
✓	67.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	27.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	43.9%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	58.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
▶	67.6%	#s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)))

Compiler

Compiled 60 to 59 computations (1.7% saved)

simplify204.0ms (3.8%)

Memory

1.7MiB live, 80.7MiB 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 y x)
cost-diff	0	(fma.f64 z x (-.f64 y x))
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
cost-diff	192	(/.f64 (fma.f64 z x (-.f64 y x)) 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 y)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)))
cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	128
0	35	128
1	57	126
2	102	124
3	194	123
4	417	123
5	757	121
6	1297	121
7	2502	121
8	3816	121
9	4459	121
10	4700	121
11	4777	121
12	4793	121
13	5652	121
14	6832	121
0	8322	121

Stop Event

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

Calls

Call 1

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

localize47.0ms (0.9%)

Memory

30.5MiB live, 67.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.15625	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
accuracy	30.215355901538157	#s(approx (- x y) (neg.f64 y))
accuracy	0	(fma.f64 z x (-.f64 y x))
accuracy	0	(-.f64 y x)
accuracy	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
accuracy	6.543041482145969	(/.f64 (fma.f64 z x (-.f64 y x)) z)
accuracy	0	(neg.f64 x)
accuracy	0.01171875	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	20.57917158423185	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy	33.16038233904752	#s(approx (- y x) (neg.f64 x))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(-.f64 x y)
accuracy	0.2265625	(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y))
accuracy	20.57917158423185	#s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)))

Samples

31.0ms

256×

valid

Compiler

Compiled 187 to 37 computations (80.2% saved)

Precisions

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

ival-div: 5.0ms (29% of total)

ival-sub: 3.0ms (17.4% of total)

ival-add: 3.0ms (17.4% of total)

ival-mult: 3.0ms (17.4% of total)

ival-neg: 2.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

series74.0ms (1.4%)

Memory

-19.3MiB live, 76.7MiB allocated

Counts

15 → 420

Calls

Call 1

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

simplify140.0ms (2.6%)

Memory

-24.4MiB live, 209.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	2353
1	374	2353
2	1053	2018
3	2996	2018
4	5759	2018
0	8092	1991

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 395

Calls

Call 1

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

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

rewrite192.0ms (3.5%)

Memory

14.8MiB live, 254.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	112
0	35	112
1	133	110
2	1102	108
0	8569	108

Stop Event

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

Counts

15 → 634

Calls

Call 1

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

Outputs
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eval180.0ms (3.3%)

Memory: 25.9MiB live, 292.6MiB allocated
Compiler: Compiled 16 152 to 2 303 computations (85.7% saved)

prune33.0ms (0.6%)

Memory

-28.3MiB live, 95.5MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 050	1	1 051
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	1 050	10	1 060

Accuracy

100.0%

Counts

1 060 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.2%	(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))
✓	75.3%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
✓	89.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
▶	47.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
✓	67.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	27.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	43.9%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	58.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
✓	67.6%	#s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)))

Compiler

Compiled 69 to 67 computations (2.9% saved)

simplify200.0ms (3.7%)

Memory

10.1MiB live, 126.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	15	49
1	26	49
2	37	49
3	59	49
4	101	49
5	182	49
6	380	49
7	714	49
8	1038	49
9	1237	47
10	1514	47
11	2061	47
12	3158	47
13	3712	47
14	3954	47
15	4102	47
16	4110	47
17	4923	47
18	6081	47
19	7195	47
20	7935	47
21	7974	47
22	7986	47
0	8311	47

Stop Event

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

Calls

Call 1

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

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

localize26.0ms (0.5%)

Memory

19.6MiB live, 57.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
accuracy	6.543041482145969	(/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z)
accuracy	33.16038233904752	#s(approx (- y x) (neg.f64 x))

Samples

19.0ms

256×

valid

Compiler

Compiled 62 to 20 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (29.9% of total)

ival-add: 2.0ms (19.9% of total)

ival-mult: 2.0ms (19.9% of total)

ival-sub: 1.0ms (10% of total)

ival-neg: 1.0ms (10% of total)

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

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

series10.0ms (0.2%)

Memory

-16.1MiB live, 22.0MiB allocated

Counts

5 → 144

Calls

Call 1

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

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

Calls

9 calls:

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

simplify130.0ms (2.4%)

Memory

8.6MiB live, 222.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	887
1	296	887
2	832	875
3	2598	767
4	6100	767
0	8262	740

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 134

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

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

rewrite153.0ms (2.8%)

Memory

-16.7MiB live, 213.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
0	15	47
1	74	47
2	613	47
3	7489	47
0	8087	47

Stop Event

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

Counts

5 → 184

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval39.0ms (0.7%)

Memory: -2.3MiB live, 80.9MiB allocated
Compiler: Compiled 5 990 to 762 computations (87.3% saved)

prune10.0ms (0.2%)

Memory

-4.6MiB live, 34.3MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	318	0	318
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	318	10	328

Accuracy

100.0%

Counts

328 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.2%	(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))
✓	75.3%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
✓	89.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
✓	47.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
✓	67.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	27.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	43.9%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	58.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
✓	67.6%	#s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)))

Compiler

Compiled 146 to 100 computations (31.5% saved)

regimes16.0ms (0.3%)

Memory

29.6MiB live, 29.6MiB allocated

Counts

11 → 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))
#s(approx (+ x (/ (- y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)

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

Calls

4 calls:

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

regimes11.0ms (0.2%)

Memory

-11.9MiB live, 27.1MiB 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:

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

Results

Accuracy	Segments	Branch
86.5%	3	`x`
88.3%	3	`y`
99.1%	3	`z`
87.3%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes11.0ms (0.2%)

Memory

-17.2MiB live, 21.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
80.6%	3	`x`
78.0%	5	`(+.f64 x (/.f64 (-.f64 y x) z))`
82.1%	3	`y`
84.9%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB 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

3 calls:

2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
73.8%	3	`x`
76.8%	3	`y`
65.6%	5	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB 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:

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

Results

Accuracy	Segments	Branch
47.7%	3	`z`
54.7%	3	`x`
46.1%	2	`(+.f64 x (/.f64 (-.f64 y x) z))`
56.7%	3	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes8.0ms (0.1%)

Memory

-29.4MiB live, 13.8MiB 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:

4.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
43.9%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
43.9%	1	`z`
43.9%	1	`x`
43.9%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch19.0ms (0.3%)

Memory

29.9MiB live, 29.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.6940894067945042e-5	138346454.34833223
5.0ms	-3055.029919210804	-1674.8959164969258

Samples

9.0ms

224×

valid

Compiler

Compiled 178 to 208 computations (-16.9% saved)

Precisions

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

ival-div: 2.0ms (49.7% 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)

bsearch39.0ms (0.7%)

Memory

-26.0MiB live, 51.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.320679020974182e+67	3.3581395431772357e+83
24.0ms	-1.1099030826398526e+86	-1.2990122348522879e+76

Samples

24.0ms

320×

valid

Compiler

Compiled 250 to 292 computations (-16.8% saved)

Precisions

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

ival-sub: 2.0ms (33.4% of total)

ival-div: 2.0ms (33.4% of total)

ival-add: 1.0ms (16.7% of total)

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

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

bsearch18.0ms (0.3%)

Memory

27.7MiB live, 27.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	383344493985572200.0	1.013948619409848e+23
5.0ms	-1.5084496162364647e+25	-8.89649326496219e+24

Samples

8.0ms

208×

valid

Compiler

Compiled 140 to 181 computations (-29.3% saved)

Precisions

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

ival-sub: 1.0ms (26% of total)

ival-div: 1.0ms (26% of total)

ival-add: 1.0ms (26% of total)

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

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

bsearch93.0ms (1.7%)

Memory

-6.2MiB live, 32.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.5610974672084153e-102	4.222689584264505e-96
80.0ms	-8.89649326496219e+24	-1.6170574513791092e+23

Samples

82.0ms

256×

valid

Compiler

Compiled 170 to 236 computations (-38.8% saved)

Precisions

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

ival-div: 2.0ms (41.5% of total)

ival-sub: 1.0ms (20.8% of total)

ival-add: 1.0ms (20.8% of total)

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

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

simplify42.0ms (0.8%)

Memory

-24.1MiB live, 63.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	197
1	56	197
2	65	197
3	70	197
4	73	197
5	74	197

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1700 binary64)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (if (<=.f64 z #s(literal 1 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 -225000000000000012195468305837720933102053124018161794718473958318003449757696 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 13999999999999999373291447535484353814613768098083201052227798322623281102848 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 -14000000000000000838860800 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 64000000000000000000000 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 -179999999999999991611392 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 5771778251424973/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 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 -1700 binary64)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (if (<=.f64 z #s(literal 1 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 -1700 binary64)) (+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (if (<=.f64 z #s(literal 1 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 -225000000000000012195468305837720933102053124018161794718473958318003449757696 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 13999999999999999373291447535484353814613768098083201052227798322623281102848 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 -14000000000000000838860800 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 64000000000000000000000 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 -179999999999999991611392 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 5771778251424973/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 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))

soundness882.0ms (16.3%)

Memory

19.6MiB live, 250.7MiB allocated

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)

preprocess52.0ms (1%)

Memory: -10.8MiB live, 111.7MiB allocated
Compiler: Compiled 228 to 96 computations (57.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze49.0ms (0.9%)

sample915.0ms (16.9%)

explain112.0ms (2.1%)

preprocess118.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.5%)

localize20.0ms (0.4%)

series9.0ms (0.2%)

simplify156.0ms (2.9%)

rewrite208.0ms (3.8%)

eval74.0ms (1.4%)

prune23.0ms (0.4%)

simplify39.0ms (0.7%)

localize70.0ms (1.3%)

series20.0ms (0.4%)

simplify264.0ms (4.9%)

rewrite355.0ms (6.6%)

eval244.0ms (4.5%)

prune69.0ms (1.3%)

simplify204.0ms (3.8%)

localize47.0ms (0.9%)

series74.0ms (1.4%)

simplify140.0ms (2.6%)

rewrite192.0ms (3.5%)

eval180.0ms (3.3%)

prune33.0ms (0.6%)

simplify200.0ms (3.7%)

localize26.0ms (0.5%)

series10.0ms (0.2%)

simplify130.0ms (2.4%)

rewrite153.0ms (2.8%)

eval39.0ms (0.7%)

prune10.0ms (0.2%)

regimes16.0ms (0.3%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch19.0ms (0.3%)

bsearch39.0ms (0.7%)

bsearch18.0ms (0.3%)

bsearch93.0ms (1.7%)

simplify42.0ms (0.8%)

soundness882.0ms (16.3%)

preprocess52.0ms (1%)

end0.0ms (0%)

Profiling