Metrics for Diagrams.Backend.Cairo.Internal:setTexture from diagrams-cairo-1.3.0.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze26.0ms (0.4%)

Memory

27.9MiB live, 27.9MiB 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
50%	49.9%	49.9%	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
75%	74.9%	25%	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
87.5%	87.4%	12.5%	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
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample820.0ms (11%)

Memory

13.2MiB live, 911.8MiB allocated

Samples

578.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 356.0ms

ival-div: 205.0ms (57.6% of total)

ival-sub: 79.0ms (22.2% of total)

ival-mult: 63.0ms (17.7% of total)

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

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain89.0ms (1.2%)

Memory

-1.7MiB live, 83.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
43	-	2	(-2.564319805832588e-203 -6.599403099469814e-110 1.40700227233664e-246)	`(/.f64 (*.f64 x (-.f64 y z)) y)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 y z)`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x (-.f64 y z))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (-.f64 y z)) y)`	o/n	34	0
↳	`(*.f64 x (-.f64 y z))`	overflow	63
`/.f64`	`(/.f64 (*.f64 x (-.f64 y z)) y)`	u/n	7	0
↳	`(*.f64 x (-.f64 y z))`	underflow	7

Confusion

	Predicted +	Predicted -
+	41	2
-	0	213

Precision

1.0

Recall

0.9534883720930233

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	2
-	0	0	213

Precision?

1.0

Recall?

0.9534883720930233

Freqs

test

number	freq
0	215
1	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sub: 34.0ms (75.5% of total)

ival-div: 7.0ms (15.5% of total)

ival-mult: 4.0ms (8.9% of total)

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

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

preprocess345.0ms (4.6%)

Memory

-37.7MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 616×	`lower-fma.f64`
3 616×	`lower-fma.f32`
2 104×	`lower-*.f32`
2 102×	`lower-*.f64`
1 924×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	76
1	80	70
2	276	65
3	1156	63
4	3211	63
5	4696	63
6	5611	63
7	6028	63
8	6204	63
9	6212	63
10	6675	63
11	7576	63
0	6	7
0	9	7
1	14	7
2	31	7
3	52	7
4	102	7
5	190	7
6	401	7
7	1096	7
8	3217	7
9	4412	7
10	5096	7
11	5275	7
12	5417	7
13	5593	7
14	7024	7
15	7493	7
16	7656	7
17	7763	7
18	7785	7
19	7785	7
0	8069	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.6%	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify208.0ms (2.8%)

Memory

23.8MiB live, 96.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

3 616×	`lower-fma.f64`
3 616×	`lower-fma.f32`
2 104×	`lower-*.f32`
2 102×	`lower-*.f64`
1 412×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	14	18
2	31	18
3	52	18
4	102	18
5	190	18
6	401	18
7	1096	18
8	3217	18
9	4412	18
10	5096	18
11	5275	18
12	5417	18
13	5593	18
14	7024	18
15	7493	18
16	7656	18
17	7763	18
18	7785	18
19	7785	18
0	8069	18

Stop Event

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

Calls

Call 1

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

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

localize39.0ms (0.5%)

Memory

-4.0MiB live, 34.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y z)
accuracy	0	(*.f64 x (-.f64 y z))
accuracy	9.84992937618804	(/.f64 (*.f64 x (-.f64 y z)) y)

Samples

35.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sub: 25.0ms (88.1% of total)

ival-div: 2.0ms (7% of total)

ival-mult: 2.0ms (7% of total)

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

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

series60.0ms (0.8%)

Memory

-13.2MiB live, 35.4MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

Calls

9 calls:

Time	Variable		Point	Expression
53.0ms	y	@	-inf	((/ (* x (- y z)) y) (* x (- y z)) (- y z))
1.0ms	x	@	-inf	((/ (* x (- y z)) y) (* x (- y z)) (- y z))
1.0ms	x	@	inf	((/ (* x (- y z)) y) (* x (- y z)) (- y z))
1.0ms	z	@	-inf	((/ (* x (- y z)) y) (* x (- y z)) (- y z))
1.0ms	x	@	0	((/ (* x (- y z)) y) (* x (- y z)) (- y z))

simplify163.0ms (2.2%)

Memory

7.1MiB live, 115.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3 842×	`lower-fma.f64`
3 842×	`lower-fma.f32`
2 802×	`lower-*.f64`
2 802×	`lower-*.f32`
1 412×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	585
1	174	465
2	493	465
3	1303	465
4	2739	465
5	4443	465
6	5818	465
7	6239	465
8	6355	465
9	6423	465
10	7298	465
11	7590	465
0	8001	465

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 90

Calls

Call 1

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

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

rewrite243.0ms (3.2%)

Memory

7.4MiB live, 276.5MiB allocated

Rules

5 414×	`lower-/.f32`
5 412×	`lower-/.f64`
4 046×	`lower-fma.f64`
4 046×	`lower-fma.f32`
3 526×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	35	15
2	223	15
3	2306	15
0	9060	15

Stop Event

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

Counts

3 → 418

Calls

Call 1

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

Outputs
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eval117.0ms (1.6%)

Memory: 0.4MiB live, 167.0MiB allocated
Compiler: Compiled 10 684 to 1 544 computations (85.5% saved)

prune231.0ms (3.1%)

Memory

-25.3MiB live, 60.9MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	500	8	508
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	500	9	509

Accuracy

100.0%

Counts

509 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.7%	(/.f64 (-.f64 y z) (/.f64 y x))
▶	51.2%	(/.f64 (.f64 x (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64))))) y)
✓	84.6%	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	47.6%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
▶	39.7%	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
▶	95.5%	(*.f64 (/.f64 (-.f64 y z) y) x)
	86.3%	(*.f64 (/.f64 x y) (-.f64 y z))
	84.5%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (-.f64 y z)))
	46.0%	#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))

Compiler

Compiled 159 to 132 computations (17% saved)

simplify154.0ms (2.1%)

Memory

15.7MiB live, 168.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
cost-diff	2432	(/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64))))
cost-diff	6080	(*.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64)))
cost-diff	6080	(fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
cost-diff	0	(/.f64 y x)
cost-diff	0	(-.f64 y z)
cost-diff	384	(/.f64 (-.f64 y z) (/.f64 y x))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- y z) (neg.f64 z))
cost-diff	0	(*.f64 x #s(approx (- y z) (neg.f64 z)))
cost-diff	0	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (- y z)) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
cost-diff	0	(-.f64 y z)
cost-diff	0	(/.f64 (-.f64 y z) y)
cost-diff	0	(*.f64 (/.f64 (-.f64 y z) y) x)

Rules

5 420×	`lower-fma.f32`
5 418×	`lower-fma.f64`
3 836×	`lower-*.f32`
3 822×	`lower-*.f64`
1 880×	`lower--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	200
0	50	146
1	94	140
2	223	138
3	563	138
4	1727	130
5	4315	130
6	6890	130
0	8246	130

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 y z) y) x)
(/.f64 (-.f64 y z) y)
(-.f64 y z)
y
z
x
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (* x (- y z)) (*.f64 y x))
(*.f64 y x)
y
x
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
(*.f64 x #s(approx (- y z) (neg.f64 z)))
x
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
z
y
(/.f64 (-.f64 y z) (/.f64 y x))
(-.f64 y z)
y
z
(/.f64 y x)
x
(/.f64 (.f64 x (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64))))) y)
(.f64 x (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64)))))
x
(/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64))))
(fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(pow.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) z)
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64)))

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

localize89.0ms (1.2%)

Memory

16.0MiB live, 172.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(*.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64)))
accuracy	2.8110224351828594	(fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
accuracy	9.84992937618804	(/.f64 (.f64 x (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64))))) y)
accuracy	26.33951679537317	(/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64))))
accuracy	0	(/.f64 y x)
accuracy	0	(-.f64 y z)
accuracy	8.509728358974222	(/.f64 (-.f64 y z) (/.f64 y x))
accuracy	0	(*.f64 x #s(approx (- y z) (neg.f64 z)))
accuracy	0	(neg.f64 z)
accuracy	9.84992937618804	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
accuracy	31.894894962198553	#s(approx (- y z) (neg.f64 z))
accuracy	0	(*.f64 y x)
accuracy	9.84992937618804	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
accuracy	29.61034807969708	#s(approx (* x (- y z)) (*.f64 y x))
accuracy	0	(-.f64 y z)
accuracy	0.015625	(/.f64 (-.f64 y z) y)
accuracy	2.88048846415366	(*.f64 (/.f64 (-.f64 y z) y) x)

Samples

54.0ms

256×

valid

Compiler

Compiled 189 to 27 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 19.0ms (50.4% of total)

ival-div: 9.0ms (23.9% of total)

ival-pow: 4.0ms (10.6% of total)

ival-add: 2.0ms (5.3% of total)

ival-sub: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series71.0ms (1%)

Memory

-4.4MiB live, 34.4MiB allocated

Counts

17 → 468

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	z	@	inf	((* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1)) (/ (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1))) (* (+ 0 z) 1) (/ (* x (/ (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1)))) y))
5.0ms	y	@	inf	((* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1)) (/ (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1))) (* (+ 0 z) 1) (/ (* x (/ (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1)))) y))
3.0ms	z	@	0	((* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1)) (/ (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1))) (* (+ 0 z) 1) (/ (* x (/ (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1)))) y))
2.0ms	y	@	0	((* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1)) (/ (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1))) (* (+ 0 z) 1) (/ (* x (/ (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1)))) y))
2.0ms	y	@	-inf	((* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1)) (/ (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1))) (* (+ 0 z) 1) (/ (* x (/ (+ (* (* (neg z) z) (pow y -1)) (* (+ 0 z) 1)) (* (+ 0 z) (pow y -1)))) y))

simplify141.0ms (1.9%)

Memory

-22.7MiB live, 110.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 276×	`lower-fma.f64`
4 276×	`lower-fma.f32`
3 266×	`lower-*.f64`
3 266×	`lower-*.f32`
1 642×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	2556
1	228	2190
2	627	2190
3	1647	2190
4	2942	2190
5	5427	2190
6	6939	2190
7	7828	2190
0	8057	2190

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 429

Calls

Call 1

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

rewrite239.0ms (3.2%)

Memory

11.6MiB live, 273.7MiB allocated

Rules

6 920×	`lower-fma.f32`
6 918×	`lower-fma.f64`
4 166×	`lower-/.f32`
4 152×	`lower-/.f64`
4 032×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	145
0	50	123
1	180	110
2	1233	107
0	8933	107

Stop Event

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

Counts

17 → 1 356

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 y z) y) x)
(/.f64 (-.f64 y z) y)
(-.f64 y z)
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (* x (- y z)) (*.f64 y x))
(*.f64 y x)
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
(*.f64 x #s(approx (- y z) (neg.f64 z)))
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
(/.f64 (-.f64 y z) (/.f64 y x))
(/.f64 y x)
(fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(/.f64 (.f64 x (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64))))) y)

Outputs
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eval585.0ms (7.8%)

Memory: 15.6MiB live, 638.2MiB allocated
Compiler: Compiled 38 229 to 4 896 computations (87.2% saved)

prune48.0ms (0.6%)

Memory

10.4MiB live, 133.0MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	2 033	6	2 039
Fresh	3	0	3
Picked	2	3	5
Done	0	1	1
Total	2 038	10	2 048

Accuracy

100.0%

Counts

2 048 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.4%	(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z x) x)
	86.6%	(/.f64 (-.f64 y z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))
✓	84.6%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	47.6%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
▶	48.9%	(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x))
✓	39.7%	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
✓	95.5%	(*.f64 (/.f64 (-.f64 y z) y) x)
▶	46.0%	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
▶	51.7%	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
▶	48.9%	(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y))

Compiler

Compiled 113 to 111 computations (1.8% saved)

simplify174.0ms (2.3%)

Memory

17.4MiB live, 98.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- y z) (neg.f64 z))
cost-diff	384	(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- y z) (neg.f64 z))
cost-diff	0	(/.f64 #s(approx (- y z) (neg.f64 z)) y)
cost-diff	0	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
cost-diff	0	(/.f64 x y)
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- y z) (neg.f64 z))
cost-diff	0	(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y))
cost-diff	0	#s(approx (/ (- y z) y) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
cost-diff	0	(*.f64 z x)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z x) x)

Rules

3 456×	`lower-fma.f32`
3 454×	`lower-fma.f64`
2 004×	`lower-*.f32`
1 996×	`lower-*.f64`
1 674×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	113
0	32	113
1	52	113
2	80	112
3	114	112
4	171	112
5	244	112
6	462	112
7	1150	112
8	2026	112
9	2638	112
10	4152	112
11	5207	112
12	5494	112
13	5623	112
14	5677	112
15	5709	112
16	6646	112
17	7960	112
0	8080	112

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.3%)

Memory

-1.6MiB live, 108.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	8.509728358974222	(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x))
accuracy	31.894894962198553	#s(approx (- y z) (neg.f64 z))
accuracy	0	(neg.f64 z)
accuracy	0.015625	(/.f64 #s(approx (- y z) (neg.f64 z)) y)
accuracy	2.88048846415366	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
accuracy	31.894894962198553	#s(approx (- y z) (neg.f64 z))
accuracy	0	(/.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	8.757576609180957	(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y))
accuracy	31.894894962198553	#s(approx (- y z) (neg.f64 z))
accuracy	2.88048846415366	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
accuracy	31.076170322790666	#s(approx (/ (- y z) y) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(*.f64 z x)
accuracy	2.931721112224173	(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z x) x)

Samples

83.0ms

256×

valid

Compiler

Compiled 91 to 19 computations (79.1% saved)

Precisions

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

ival-div: 19.0ms (60.4% of total)

ival-mult: 6.0ms (19.1% of total)

ival-sub: 4.0ms (12.7% of total)

ival-add: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series55.0ms (0.7%)

Memory

-42.5MiB live, 34.1MiB allocated

Counts

13 → 348

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	x	@	inf	((+ (* (/ -1 y) (* z x)) x) (/ -1 y) (* z x) (* (/ (- y z) y) x) (/ (- y z) y) (* (- y z) (/ x y)) (- y z) (neg z) (/ x y) (* (/ (- y z) y) x) (/ (- y z) y) (/ (- y z) (/ y x)) (/ y x))
2.0ms	x	@	-inf	((+ (* (/ -1 y) (* z x)) x) (/ -1 y) (* z x) (* (/ (- y z) y) x) (/ (- y z) y) (* (- y z) (/ x y)) (- y z) (neg z) (/ x y) (* (/ (- y z) y) x) (/ (- y z) y) (/ (- y z) (/ y x)) (/ y x))
1.0ms	x	@	0	((+ (* (/ -1 y) (* z x)) x) (/ -1 y) (* z x) (* (/ (- y z) y) x) (/ (- y z) y) (* (- y z) (/ x y)) (- y z) (neg z) (/ x y) (* (/ (- y z) y) x) (/ (- y z) y) (/ (- y z) (/ y x)) (/ y x))
1.0ms	y	@	0	((+ (* (/ -1 y) (* z x)) x) (/ -1 y) (* z x) (* (/ (- y z) y) x) (/ (- y z) y) (* (- y z) (/ x y)) (- y z) (neg z) (/ x y) (* (/ (- y z) y) x) (/ (- y z) y) (/ (- y z) (/ y x)) (/ y x))
1.0ms	y	@	inf	((+ (* (/ -1 y) (* z x)) x) (/ -1 y) (* z x) (* (/ (- y z) y) x) (/ (- y z) y) (* (- y z) (/ x y)) (- y z) (neg z) (/ x y) (* (/ (- y z) y) x) (/ (- y z) y) (/ (- y z) (/ y x)) (/ y x))

simplify525.0ms (7%)

Memory

24.4MiB live, 213.2MiB allocated

Algorithm

1×	egg-herbie

Rules

30 224×	`lower-fma.f64`
30 224×	`lower-fma.f32`
3 600×	`lower-+.f64`
3 600×	`lower-+.f32`
3 376×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	1890
1	154	1704
2	403	1704
3	998	1704
4	2266	1704
5	4048	1704
6	5580	1704
7	5976	1704
8	6183	1704
9	6287	1704
10	6313	1704
11	6681	1704
12	6993	1704
13	7029	1704
14	7029	1704
0	8601	1704

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 330

Calls

Call 1

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

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

rewrite459.0ms (6.1%)

Memory

8.5MiB live, 205.3MiB allocated

Rules

4 174×	`lower-fma.f32`
4 172×	`lower-fma.f64`
3 650×	`lower-*.f32`
3 642×	`lower-*.f64`
2 424×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	82
0	32	82
1	106	82
2	637	81
3	6373	75
0	8779	74

Stop Event

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

Counts

13 → 482

Calls

Call 1

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

Outputs
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eval162.0ms (2.2%)

Memory: -17.5MiB live, 346.9MiB allocated
Compiler: Compiled 9 832 to 889 computations (91% saved)

prune67.0ms (0.9%)

Memory

-5.1MiB live, 77.4MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	953	1	954
Fresh	1	0	1
Picked	0	5	5
Done	0	4	4
Total	954	10	964

Accuracy

100.0%

Counts

964 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.4%	(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z x) x)
✓	84.6%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	47.6%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
✓	48.9%	(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x))
▶	48.9%	(/.f64 #s(approx (- y z) (neg.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
✓	39.7%	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
✓	95.5%	(*.f64 (/.f64 (-.f64 y z) y) x)
✓	46.0%	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
✓	51.7%	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
✓	48.9%	(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y))

Compiler

Compiled 70 to 69 computations (1.4% saved)

simplify37.0ms (0.5%)

Memory

-5.2MiB live, 34.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- y z) (neg.f64 z))
cost-diff	384	(/.f64 #s(approx (- y z) (neg.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))

Rules

540×	`times-frac`
336×	`lower-fma.f64`
336×	`lower-fma.f32`
330×	`associate-r`
304×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	16	36
1	29	34
2	64	30
3	140	30
4	341	30
5	645	30
6	1302	30
7	1579	30
8	1586	30
9	1600	30
10	1612	30
0	1612	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize114.0ms (1.5%)

Memory

7.6MiB live, 46.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0.1953125	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
accuracy	8.509728358974222	(/.f64 #s(approx (- y z) (neg.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
accuracy	31.894894962198553	#s(approx (- y z) (neg.f64 z))

Samples

108.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-sub: 91.0ms (91% of total)

ival-div: 3.0ms (3% of total)

ival-mult: 3.0ms (3% of total)

ival-neg: 2.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((* (/ -1 x) (neg y)) (/ (- y z) (* (/ -1 x) (neg y))) (- y z) (neg z) (neg y))
1.0ms	y	@	-inf	((* (/ -1 x) (neg y)) (/ (- y z) (* (/ -1 x) (neg y))) (- y z) (neg z) (neg y))
1.0ms	x	@	-inf	((* (/ -1 x) (neg y)) (/ (- y z) (* (/ -1 x) (neg y))) (- y z) (neg z) (neg y))
1.0ms	x	@	0	((* (/ -1 x) (neg y)) (/ (- y z) (* (/ -1 x) (neg y))) (- y z) (neg z) (neg y))
0.0ms	z	@	inf	((* (/ -1 x) (neg y)) (/ (- y z) (* (/ -1 x) (neg y))) (- y z) (neg z) (neg y))

simplify394.0ms (5.3%)

Memory

-20.2MiB live, 99.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 152×	`lower-fma.f64`
7 152×	`lower-fma.f32`
4 276×	`lower-*.f64`
4 276×	`lower-*.f32`
2 278×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	444
1	124	414
2	316	414
3	806	414
4	2716	414
5	4371	414
6	5561	414
7	6057	414
8	6240	414
9	6402	414
0	8237	414

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 102

Calls

Call 1

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

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

rewrite184.0ms (2.5%)

Memory

10.6MiB live, 89.4MiB allocated

Rules

3 722×	`lower-*.f32`
3 720×	`lower-*.f64`
2 804×	`lower-/.f32`
2 800×	`lower-/.f64`
2 732×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	29
0	16	29
1	57	27
2	332	23
3	2782	20
0	10465	20

Stop Event

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

Counts

5 → 233

Calls

Call 1

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

Outputs
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eval51.0ms (0.7%)

Memory: 4.7MiB live, 39.7MiB allocated
Compiler: Compiled 4 091 to 694 computations (83% saved)

prune10.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	334	1	335
Fresh	0	0	0
Picked	0	1	1
Done	1	8	9
Total	335	10	345

Accuracy

100.0%

Counts

345 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.6%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	47.6%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
✓	48.9%	(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x))
✓	48.9%	(/.f64 #s(approx (- y z) (neg.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
✓	39.7%	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
✓	95.5%	(*.f64 (/.f64 (-.f64 y z) y) x)
✓	46.0%	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
	47.6%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(approx (- y z) z) x))
✓	51.7%	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
✓	48.9%	(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y))

Compiler

Compiled 214 to 125 computations (41.6% saved)

regimes41.0ms (0.5%)

Memory

-18.5MiB live, 19.9MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y))
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (/.f64 (-.f64 y z) y) x)
(/.f64 (*.f64 x (-.f64 y z)) y)
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(approx (- y z) z) x))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z x) x)
(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x))
(/.f64 (-.f64 y z) (/.f64 y x))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (-.f64 y z)))
(/.f64 #s(approx (- y z) (neg.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(/.f64 (-.f64 y z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (.f64 x (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1 binary64))))) y)

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

Calls

4 calls:

23.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
6.0ms	z
6.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
98.8%	2	`x`
97.7%	2	`y`
97.7%	2	`z`
98.0%	2	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes8.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	3	`(/.f64 (*.f64 x (-.f64 y z)) y)`
97.7%	2	`x`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes14.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.7%	2	`z`
95.5%	1	`y`
95.5%	1	`x`
97.3%	2	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes36.0ms (0.5%)

Memory

-25.2MiB live, 12.4MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
93.6%	3	`y`
86.3%	1	`x`
94.0%	3	`(/.f64 (*.f64 x (-.f64 y z)) y)`
91.5%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes11.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.1%	6	`x`
81.8%	5	`z`
80.0%	3	`y`
76.7%	2	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.9%	2	`(/.f64 (*.f64 x (-.f64 y z)) y)`
77.8%	5	`z`
76.7%	3	`y`

Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes6.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Accuracy

Total -7.9b remaining (-25.6%)

Threshold costs -7.9b (-25.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.7%	1	`x`
51.7%	1	`z`
51.7%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`
51.7%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch83.0ms (1.1%)

Memory

-49.8MiB live, 4.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
82.0ms	2.92298591541349e-223	4.356639490239777e-221

Samples

79.0ms

80×

valid

Compiler

Compiled 85 to 87 computations (-2.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-sub: 76.0ms (98.6% of total)

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

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

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

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

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.33896731258036e+280	2.0698812429128312e+289
0.0ms	0.0	1.7466883042433141e-301

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch6.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	1.3757120261742213e+57	2.0072322979919457e+58

Samples

3.0ms

64×

valid

Compiler

Compiled 66 to 68 computations (-3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

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

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.2555050424815266e-91	7.219209144523174e-89
0.0ms	0.0	1.7466883042433141e-301

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch23.0ms (0.3%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	16856807406.47555	1006288559121.6931
12.0ms	-1.1409879180146066e-35	-1.0560835133737122e-47

Samples

11.0ms

272×

valid

Compiler

Compiled 197 to 267 computations (-35.5% saved)

Precisions

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

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

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

ival-sub: 1.0ms (19.3% of total)

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

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

bsearch2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	16856807406.47555	1006288559121.6931
1.0ms	-1.1409879180146066e-35	-1.0560835133737122e-47

Compiler

Compiled 197 to 267 computations (-35.5% saved)

simplify31.0ms (0.4%)

Memory

11.1MiB live, 87.9MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`-commutative-binary64-.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`
12×	`+-commutative-binary64-+.f64`
12×	`neg-mul-1-binary64-*.f64-neg.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	206
1	65	206
2	76	206
3	88	206
4	95	206
5	99	206
6	100	206

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 6511732844609233/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) (.f64 (/.f64 (-.f64 y z) y) x))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 0 binary64)) (.f64 (/.f64 x y) (-.f64 y z)) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 binary64)) (/.f64 (.f64 x (-.f64 y z)) y) (*.f64 (/.f64 (-.f64 y z) y) x)))
(if (<=.f64 z #s(literal 19999999999999998876238979948827261631594308857026393931776 binary64)) (.f64 (/.f64 (-.f64 y z) y) x) (.f64 (/.f64 x y) (-.f64 y z)))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 0 binary64)) (.f64 (/.f64 x y) (-.f64 y z)) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 7339195571168229/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) (-.f64 y z))))
(if (<=.f64 y #s(literal -4770597318893877/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 31000000000 binary64)) (.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -4770597318893877/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 31000000000 binary64)) #s(approx (/ ( x (- y z)) y) (.f64 (/.f64 (neg.f64 z) y) x)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

Outputs
(if (<=.f64 x #s(literal 6511732844609233/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) (.f64 (/.f64 (-.f64 y z) y) x))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 0 binary64)) (.f64 (/.f64 x y) (-.f64 y z)) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 binary64)) (/.f64 (.f64 x (-.f64 y z)) y) (*.f64 (/.f64 (-.f64 y z) y) x)))
(if (<=.f64 (/.f64 (.f64 (-.f64 y z) x) y) #s(literal 0 binary64)) (.f64 (/.f64 x y) (-.f64 y z)) (if (<=.f64 (/.f64 (.f64 (-.f64 y z) x) y) #s(literal 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 binary64)) (/.f64 (.f64 (-.f64 y z) x) y) (*.f64 (/.f64 (-.f64 y z) y) x)))
(if (<=.f64 z #s(literal 19999999999999998876238979948827261631594308857026393931776 binary64)) (.f64 (/.f64 (-.f64 y z) y) x) (.f64 (/.f64 x y) (-.f64 y z)))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 0 binary64)) (.f64 (/.f64 x y) (-.f64 y z)) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 7339195571168229/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) (-.f64 y z))))
(if (<=.f64 (/.f64 (.f64 (-.f64 y z) x) y) #s(literal 0 binary64)) (.f64 (/.f64 x y) (-.f64 y z)) (if (<=.f64 (/.f64 (.f64 (-.f64 y z) x) y) #s(literal 7339195571168229/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) (-.f64 y z))))
(if (<=.f64 y #s(literal -4770597318893877/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 31000000000 binary64)) (.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -4770597318893877/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 31000000000 binary64)) #s(approx (/ ( x (- y z)) y) (.f64 (/.f64 (neg.f64 z) y) x)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

soundness1.1s (14.7%)

Memory

-8.8MiB live, 633.5MiB allocated

Rules

6 920×	`lower-fma.f32`
6 918×	`lower-fma.f64`
5 414×	`lower-/.f32`
5 412×	`lower-/.f64`
4 276×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	585
1	174	465
2	493	465
3	1303	465
4	2739	465
5	4443	465
6	5818	465
7	6239	465
8	6355	465
9	6423	465
10	7298	465
11	7590	465
0	8001	465
0	75	2556
1	228	2190
2	627	2190
3	1647	2190
4	2942	2190
5	5427	2190
6	6939	2190
7	7828	2190
0	8057	2190
0	29	145
0	50	123
1	180	110
2	1233	107
0	8933	107
0	6	15
0	9	15
1	35	15
2	223	15
3	2306	15
0	9060	15

Stop Event

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

Compiler

Compiled 365 to 182 computations (50.1% saved)

preprocess114.0ms (1.5%)

Memory: -1.4MiB live, 314.6MiB allocated
Compiler: Compiled 486 to 172 computations (64.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze26.0ms (0.4%)

sample820.0ms (11%)

explain89.0ms (1.2%)

preprocess345.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify208.0ms (2.8%)

localize39.0ms (0.5%)

series60.0ms (0.8%)

simplify163.0ms (2.2%)

rewrite243.0ms (3.2%)

eval117.0ms (1.6%)

prune231.0ms (3.1%)

simplify154.0ms (2.1%)

localize89.0ms (1.2%)

series71.0ms (1%)

simplify141.0ms (1.9%)

rewrite239.0ms (3.2%)

eval585.0ms (7.8%)

prune48.0ms (0.6%)

simplify174.0ms (2.3%)

localize95.0ms (1.3%)

series55.0ms (0.7%)

simplify525.0ms (7%)

rewrite459.0ms (6.1%)

eval162.0ms (2.2%)

prune67.0ms (0.9%)

simplify37.0ms (0.5%)

localize114.0ms (1.5%)

series7.0ms (0.1%)

simplify394.0ms (5.3%)

rewrite184.0ms (2.5%)

eval51.0ms (0.7%)

prune10.0ms (0.1%)

regimes41.0ms (0.5%)

regimes8.0ms (0.1%)

regimes14.0ms (0.2%)

regimes36.0ms (0.5%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch83.0ms (1.1%)

bsearch1.0ms (0%)

bsearch6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch23.0ms (0.3%)

bsearch2.0ms (0%)

simplify31.0ms (0.4%)

soundness1.1s (14.7%)

preprocess114.0ms (1.5%)

end0.0ms (0%)

Profiling