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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze48.0ms (1%)

Memory

-8.8MiB live, 35.9MiB 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)

sample669.0ms (13.6%)

Memory

-3.4MiB live, 993.6MiB allocated

Samples

405.0ms

8 256×

valid

Precisions

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

ival-div: 57.0ms (32.8% of total)

ival-add: 57.0ms (32.8% of total)

ival-sub: 50.0ms (28.8% of total)

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

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain104.0ms (2.1%)

Memory

-14.0MiB live, 106.7MiB 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

64.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 24.0ms (76.6% of total)

ival-div: 4.0ms (12.8% of total)

ival-sub: 3.0ms (9.6% of total)

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

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

preprocess120.0ms (2.4%)

Memory

10.3MiB live, 88.6MiB 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 (/.f64 (-.f64 y x) z) x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify30.0ms (0.6%)

Memory

1.7MiB live, 40.9MiB 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 (/.f64 (-.f64 y x) z) x)
x
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
z

localize31.0ms (0.6%)

Memory

-1.3MiB live, 39.4MiB 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

11.0ms

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 (43.9% of total)

ival-sub: 1.0ms (22% of total)

ival-add: 1.0ms (22% of total)

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

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

series10.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

simplify168.0ms (3.4%)

Memory

-13.1MiB live, 102.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	460
1	198	460
2	553	460
3	1583	460
4	3538	460
5	5038	460
6	6488	460
7	6762	460
8	6862	460
9	6862	460
0	8151	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
(/.f64 (-.f64 y x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
x
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
x
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(/.f64 (neg.f64 x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(/.f64 y z)
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(/.f64 y z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(/.f64 y z)
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(/.f64 y z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(/.f64 y z)
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(/.f64 y z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(-.f64 x (/.f64 x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(/.f64 (neg.f64 x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(-.f64 x (/.f64 x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(/.f64 (neg.f64 x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)

rewrite240.0ms (4.9%)

Memory

12.6MiB live, 214.7MiB 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
#<batchref>
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eval80.0ms (1.6%)

Memory: 5.7MiB live, 81.7MiB allocated
Compiler: Compiled 8 124 to 1 081 computations (86.7% saved)

prune33.0ms (0.7%)

Memory

-8.5MiB live, 30.1MiB 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 151 to 108 computations (28.5% saved)

simplify43.0ms (0.9%)

Memory

-11.0MiB live, 33.4MiB 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	492	106
6	727	106
7	1089	106
8	1182	106
9	1213	106
10	1221	106
11	1223	106
0	1223	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (0.9%)

Memory

24.1MiB live, 61.5MiB 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

32.0ms

256×

valid

Compiler

Compiled 193 to 36 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 7.0ms (49% of total)

ival-sub: 3.0ms (21% of total)

ival-add: 2.0ms (14% of total)

ival-mult: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.9%)

Memory

4.2MiB live, 41.8MiB allocated

Counts

13 → 384

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	z	@	-inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))
1.0ms	z	@	0	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))
1.0ms	x	@	inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))
1.0ms	z	@	inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))
1.0ms	y	@	inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z))

simplify151.0ms (3.1%)

Memory

0.3MiB live, 124.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	2336
1	242	2201
2	672	1859
3	1831	1859
4	4395	1859
5	6641	1859
6	7900	1859
0	8075	1859

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 366

Calls

Call 1

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

rewrite267.0ms (5.4%)

Memory

-30.4MiB live, 125.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

13 → 593

Calls

Call 1

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

Outputs
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eval134.0ms (2.7%)

Memory: 15.9MiB live, 205.8MiB allocated
Compiler: Compiled 20 882 to 1 890 computations (90.9% saved)

prune31.0ms (0.6%)

Memory

15.4MiB live, 101.5MiB 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 113 to 80 computations (29.2% saved)

simplify169.0ms (3.4%)

Memory

4.7MiB live, 116.6MiB 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	749	121
6	1289	121
7	2491	121
8	3780	121
9	4420	121
10	4661	121
11	4738	121
12	4754	121
13	5623	121
14	6821	121
0	8293	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 y x) z))
(/.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 (/.f64 (-.f64 y x) z) x))
(+.f64 (/.f64 (-.f64 y x) z) x)
(fma.f64 z x (-.f64 y x))
z
x
(-.f64 y x)
y
(-.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

localize137.0ms (2.8%)

Memory

-21.0MiB live, 141.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.15625	(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

49.0ms

256×

valid

Compiler

Compiled 223 to 41 computations (81.6% saved)

Precisions

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

ival-div: 5.0ms (27.7% of total)

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

ival-sub: 3.0ms (16.6% of total)

ival-add: 3.0ms (16.6% of total)

ival-neg: 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)

series57.0ms (1.2%)

Memory

0.6MiB live, 64.1MiB allocated

Counts

15 → 420

Calls

Call 1

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

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

simplify131.0ms (2.6%)

Memory

4.1MiB live, 119.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	2288
1	374	2288
2	1053	2018
3	3002	2018
4	5790	2018
0	8067	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
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal -1 binary64) z)
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 y x)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal -1 binary64) z)
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(*.f64 x z)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal -1 binary64) z)
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(*.f64 x z)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (neg.f64 x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (neg.f64 x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 x z) x)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(/.f64 y z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(neg.f64 y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
y
(fma.f64 (/.f64 (-.f64 (*.f64 x z) x) y) y y)
(fma.f64 (/.f64 (-.f64 (*.f64 x z) x) y) y y)
(fma.f64 (/.f64 (-.f64 (*.f64 x z) x) y) y y)
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(neg.f64 y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(/.f64 y z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(neg.f64 y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
y
(fma.f64 (/.f64 (-.f64 (*.f64 x z) x) y) y y)
(fma.f64 (/.f64 (-.f64 (*.f64 x z) x) y) y y)
(fma.f64 (/.f64 (-.f64 (*.f64 x z) x) y) y y)
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(neg.f64 y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(/.f64 y z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(neg.f64 y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
y
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(neg.f64 y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(/.f64 (neg.f64 x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (neg.f64 x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 x z) x)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(/.f64 (neg.f64 x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (neg.f64 x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 x z) x)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)

rewrite160.0ms (3.2%)

Memory

-11.6MiB live, 298.6MiB 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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eval163.0ms (3.3%)

Memory: 10.8MiB live, 369.7MiB allocated
Compiler: Compiled 24 701 to 2 315 computations (90.6% saved)

prune26.0ms (0.5%)

Memory

8.7MiB live, 87.0MiB 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 132 to 91 computations (31.1% saved)

simplify206.0ms (4.2%)

Memory

2.0MiB live, 123.2MiB 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	383	49
7	732	49
8	1058	49
9	1256	47
10	1537	47
11	2080	47
12	3182	47
13	3736	47
14	3970	47
15	4118	47
16	4126	47
17	4935	47
18	6093	47
19	7207	47
20	7952	47
21	7988	47
22	8000	47
0	8327	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 (/.f64 #s(approx (- y x) (neg.f64 x)) z) x))
(+.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) z) x)
(fma.f64 z x #s(approx (- y x) (neg.f64 x)))
z
x
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)

localize25.0ms (0.5%)

Memory

6.4MiB live, 45.5MiB 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

18.0ms

256×

valid

Compiler

Compiled 81 to 23 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (37.2% of total)

ival-add: 2.0ms (18.6% of total)

ival-mult: 2.0ms (18.6% of total)

ival-sub: 1.0ms (9.3% of total)

ival-neg: 1.0ms (9.3% of total)

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

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

series90.0ms (1.8%)

Memory

-20.9MiB live, 18.1MiB allocated

Counts

5 → 144

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
80.0ms	y	@	0	((/ (+ (* 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))

simplify128.0ms (2.6%)

Memory

24.2MiB live, 142.8MiB 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	6103	767
0	8244	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
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 y x)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(*.f64 x z)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(*.f64 x z)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 x z) x)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
y
(fma.f64 (/.f64 (-.f64 (*.f64 x z) x) y) y y)
(fma.f64 (/.f64 (-.f64 (*.f64 x z) x) y) y y)
(fma.f64 (/.f64 (-.f64 (*.f64 x z) x) y) y y)
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
y
(fma.f64 (/.f64 (-.f64 (*.f64 x z) x) y) y y)
(fma.f64 (/.f64 (-.f64 (*.f64 x z) x) y) y y)
(fma.f64 (/.f64 (-.f64 (*.f64 x z) x) y) y y)
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
y
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 x z) x)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 x z) x)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)

rewrite166.0ms (3.4%)

Memory

-33.4MiB live, 285.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
0	15	47
1	74	47
2	613	47
3	7490	47
0	8088	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>
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#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval38.0ms (0.8%)

Memory: 13.7MiB live, 92.2MiB allocated
Compiler: Compiled 10 172 to 768 computations (92.4% saved)

prune11.0ms (0.2%)

Memory

1.2MiB live, 40.0MiB 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 272 to 128 computations (52.9% saved)

regimes18.0ms (0.4%)

Memory

8.1MiB live, 46.6MiB 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:

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

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes12.0ms (0.2%)

Memory

-7.6MiB live, 30.8MiB 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:

4.0ms	y
3.0ms	z
3.0ms	x
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

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)

regimes15.0ms (0.3%)

Memory

3.0MiB live, 42.4MiB 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:

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

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

20.7MiB live, 20.7MiB 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)

regimes8.0ms (0.2%)

Memory

-8.1MiB live, 30.2MiB 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:

3.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.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)

regimes6.0ms (0.1%)

Memory

-10.1MiB live, 29.5MiB 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:

2.0ms	z
1.0ms	x
1.0ms	y
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)

bsearch20.0ms (0.4%)

Memory

24.7MiB live, 64.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.6940894067945042e-5	138346454.34833223
5.0ms	-3055.029919210804	-1674.8959164969258

Samples

10.0ms

224×

valid

Compiler

Compiled 346 to 278 computations (19.7% saved)

Precisions

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

ival-div: 2.0ms (51.1% of total)

ival-sub: 1.0ms (25.6% of total)

ival-add: 1.0ms (25.6% of total)

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

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

bsearch83.0ms (1.7%)

Memory

-18.8MiB live, 75.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.320679020974182e+67	3.3581395431772357e+83
68.0ms	-1.1099030826398526e+86	-1.2990122348522879e+76

Samples

54.0ms

320×

valid

Compiler

Compiled 530 to 412 computations (22.3% saved)

Precisions

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

ival-sub: 2.0ms (34.1% of total)

ival-div: 2.0ms (34.1% of total)

ival-add: 1.0ms (17% of total)

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

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

bsearch19.0ms (0.4%)

Memory

-1.5MiB live, 37.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	383344493985572200.0	1.013948619409848e+23
6.0ms	-1.5084496162364647e+25	-8.89649326496219e+24

Samples

8.0ms

208×

valid

Compiler

Compiled 322 to 259 computations (19.6% saved)

Precisions

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

ival-sub: 1.0ms (27.7% of total)

ival-div: 1.0ms (27.7% of total)

ival-add: 1.0ms (27.7% of total)

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

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

bsearch25.0ms (0.5%)

Memory

-30.3MiB live, 49.4MiB 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
10.0ms	-8.89649326496219e+24	-1.6170574513791092e+23

Samples

11.0ms

256×

valid

Compiler

Compiled 442 to 332 computations (24.9% saved)

Precisions

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

ival-div: 2.0ms (44.8% of total)

ival-sub: 1.0ms (22.4% of total)

ival-add: 1.0ms (22.4% of total)

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

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

simplify25.0ms (0.5%)

Memory

32.7MiB live, 71.7MiB 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 (/.f64 (-.f64 y x) z) x)
(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))

soundness907.0ms (18.4%)

Memory

-14.7MiB live, 260.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	2336
1	242	2201
2	672	1859
3	1831	1859
4	4395	1859
5	6641	1859
6	7900	1859
0	8075	1859
0	71	460
1	198	460
2	553	460
3	1583	460
4	3538	460
5	5038	460
6	6488	460
7	6762	460
8	6862	460
9	6862	460
0	8151	457

Stop Event

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

Compiler

Compiled 236 to 90 computations (61.9% saved)

preprocess37.0ms (0.7%)

Memory: 15.8MiB live, 93.3MiB allocated
Compiler: Compiled 408 to 102 computations (75% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze48.0ms (1%)

sample669.0ms (13.6%)

explain104.0ms (2.1%)

preprocess120.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify30.0ms (0.6%)

localize31.0ms (0.6%)

series10.0ms (0.2%)

simplify168.0ms (3.4%)

rewrite240.0ms (4.9%)

eval80.0ms (1.6%)

prune33.0ms (0.7%)

simplify43.0ms (0.9%)

localize44.0ms (0.9%)

series46.0ms (0.9%)

simplify151.0ms (3.1%)

rewrite267.0ms (5.4%)

eval134.0ms (2.7%)

prune31.0ms (0.6%)

simplify169.0ms (3.4%)

localize137.0ms (2.8%)

series57.0ms (1.2%)

simplify131.0ms (2.6%)

rewrite160.0ms (3.2%)

eval163.0ms (3.3%)

prune26.0ms (0.5%)

simplify206.0ms (4.2%)

localize25.0ms (0.5%)

series90.0ms (1.8%)

simplify128.0ms (2.6%)

rewrite166.0ms (3.4%)

eval38.0ms (0.8%)

prune11.0ms (0.2%)

regimes18.0ms (0.4%)

regimes12.0ms (0.2%)

regimes15.0ms (0.3%)

regimes6.0ms (0.1%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch20.0ms (0.4%)

bsearch83.0ms (1.7%)

bsearch19.0ms (0.4%)

bsearch25.0ms (0.5%)

simplify25.0ms (0.5%)

soundness907.0ms (18.4%)

preprocess37.0ms (0.7%)

end0.0ms (0%)

Profiling