Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, D

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.5s (25.9%)

Memory

-105.4MiB live, 1 580.9MiB allocated

Samples

527.0ms	5 722×	0	valid
395.0ms	2 534×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 608.0ms

ival-mult: 324.0ms (53.3% of total)

ival-sub: 163.0ms (26.8% of total)

adjust: 58.0ms (9.5% of total)

ival-add: 54.0ms (8.9% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain170.0ms (2.9%)

Memory

1.2MiB live, 232.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
115	-	-	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`
11	-	-	`(-.f64 (.f64 x y) (.f64 y y))`
7	-	-	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`y`
0	-	-	`(*.f64 y z)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`	nan-rescue	55	0
↳	`(*.f64 y y)`	overflow	59
↳	`(*.f64 x y)`	overflow	34
↳	`(-.f64 (.f64 x y) (.f64 y y))`	overflow	71
↳	`(*.f64 y y)`	overflow	59
`+.f64`	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`	cancellation	25	0
`-.f64`	`(-.f64 (.f64 x y) (.f64 y y))`	nan-rescue	11	0
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 y y)`	overflow	59
`-.f64`	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`	nan-rescue	7	0
↳	`(*.f64 y y)`	overflow	118
↳	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`	overflow	34
↳	`(*.f64 x y)`	overflow	34
↳	`(-.f64 (.f64 x y) (.f64 y y))`	overflow	71
↳	`(*.f64 y z)`	overflow	33

Confusion

	Predicted +	Predicted -
+	78	0
-	8	170

Precision

0.9069767441860465

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	0
-	8	0	170

Precision?

0.9069767441860465

Recall?

1.0

Freqs

test

number	freq
0	170
1	76
2	8
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms	212×	1	valid
18.0ms	282×	0	valid
3.0ms	18×	2	valid

Compiler

Compiled 109 to 31 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 46.0ms (69.3% of total)

ival-sub: 11.0ms (16.6% of total)

adjust: 5.0ms (7.5% of total)

ival-add: 3.0ms (4.5% of total)

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

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

preprocess427.0ms (7.2%)

Memory

14.8MiB live, 249.9MiB allocated

Algorithm

1×	egg-herbie

Rules

33 588×	`lower-fma.f64`
33 588×	`lower-fma.f32`
4 720×	`lower-+.f32`
4 718×	`lower-+.f64`
3 070×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	125
1	162	76
2	510	53
3	1832	47
4	5323	47
5	7136	47
6	7882	47
0	9	15
0	15	13
1	33	9
2	91	7
3	233	5
4	742	5
5	2401	5
6	4187	5
7	5140	5
8	5808	5
9	6113	5
10	6268	5
11	6286	5
12	6286	5
13	6286	5
0	8187	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs y)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.6%	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify346.0ms (5.8%)

Memory

-6.1MiB live, 161.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	320	(-.f64 (.f64 x y) (.f64 y y))
cost-diff	320	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
cost-diff	704	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

Rules

33 588×	`lower-fma.f64`
33 588×	`lower-fma.f32`
4 720×	`lower-+.f32`
4 718×	`lower-+.f64`
3 070×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	45
0	15	45
1	33	33
2	91	27
3	233	25
4	742	25
5	2401	25
6	4187	25
7	5140	25
8	5808	25
9	6113	25
10	6268	25
11	6286	25
12	6286	25
13	6286	25
0	8187	25

Stop Event

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

Calls

Call 1

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

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

localize57.0ms (1%)

Memory

-8.5MiB live, 30.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	1.6484271791510292	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
accuracy	2.351548050811441	(-.f64 (.f64 x y) (.f64 y y))
accuracy	27.114766970381602	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

Samples

35.0ms	142×	0	valid
13.0ms	105×	1	valid
2.0ms	9×	2	valid

Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 33.0ms (81.9% of total)

ival-sub: 3.0ms (7.4% of total)

adjust: 2.0ms (5% of total)

ival-add: 2.0ms (5% of total)

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

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

series9.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

9 calls:

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

simplify174.0ms (2.9%)

Memory

-31.5MiB live, 52.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 996×	`lower-fma.f64`
3 996×	`lower-fma.f32`
2 108×	`lower-*.f64`
2 108×	`lower-*.f32`
1 920×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	504
1	151	426
2	377	426
3	1163	426
4	3336	426
5	5415	426
6	6433	426
7	7432	426
8	7597	426
9	7733	426
10	7832	426
0	8627	426

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* x y)
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(* -1 (* y z))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* x y)
(* y (+ x (* -1 y)))
(* y (+ x (* -1 y)))
(* y (+ x (* -1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* -1 (pow y 2))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (pow y 2))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(* -1 (pow y 2))
(- (* x y) (pow y 2))
(- (* x y) (pow y 2))
(- (* x y) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x y)
(* x (+ y (* -1 (/ (pow y 2) x))))
(* x (+ y (* -1 (/ (pow y 2) x))))
(* x (+ y (* -1 (/ (pow y 2) x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* x y)
(*.f64 y x)
(+ (* -1 (* y z)) (* x y))
(*.f64 (-.f64 x z) y)
(+ (* -1 (* y z)) (* x y))
(*.f64 (-.f64 x z) y)
(+ (* -1 (* y z)) (* x y))
(*.f64 (-.f64 x z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (- (/ (* x y) z) y))
(*.f64 (-.f64 x z) y)
(* z (- (/ (* x y) z) y))
(*.f64 (-.f64 x z) y)
(* z (- (/ (* x y) z) y))
(*.f64 (-.f64 x z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(*.f64 (-.f64 x z) y)
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(*.f64 (-.f64 x z) y)
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(*.f64 (-.f64 x z) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 y)))
(*.f64 (-.f64 x y) y)
(* y (+ x (* -1 y)))
(*.f64 (-.f64 x y) y)
(* y (+ x (* -1 y)))
(*.f64 (-.f64 x y) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ x y) 1))
(*.f64 (-.f64 x y) y)
(* (pow y 2) (- (/ x y) 1))
(*.f64 (-.f64 x y) y)
(* (pow y 2) (- (/ x y) 1))
(*.f64 (-.f64 x y) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* y (- (* -1 x) (* -1 z))))
(*.f64 (-.f64 x z) y)
(* -1 (* y (- (* -1 x) (* -1 z))))
(*.f64 (-.f64 x z) y)
(* -1 (* y (- (* -1 x) (* -1 z))))
(*.f64 (-.f64 x z) y)
(* -1 (* y (- (* -1 x) (* -1 z))))
(*.f64 (-.f64 x z) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ x y) 1))
(*.f64 (-.f64 x y) y)
(* (pow y 2) (- (/ x y) 1))
(*.f64 (-.f64 x y) y)
(* (pow y 2) (- (/ x y) 1))
(*.f64 (-.f64 x y) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(- (* x y) (* y z))
(*.f64 (-.f64 x z) y)
(- (* x y) (* y z))
(*.f64 (-.f64 x z) y)
(- (* x y) (* y z))
(*.f64 (-.f64 x z) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(- (* x y) (pow y 2))
(*.f64 (-.f64 x y) y)
(- (* x y) (pow y 2))
(*.f64 (-.f64 x y) y)
(- (* x y) (pow y 2))
(*.f64 (-.f64 x y) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* x (+ y (* -1 (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* x (+ y (* -1 (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (/ (pow y 2) x))))
(*.f64 (-.f64 x y) y)
(* x (+ y (* -1 (/ (pow y 2) x))))
(*.f64 (-.f64 x y) y)
(* x (+ y (* -1 (/ (pow y 2) x))))
(*.f64 (-.f64 x y) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(*.f64 (-.f64 x y) y)
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(*.f64 (-.f64 x y) y)
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(*.f64 (-.f64 x y) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite364.0ms (6.1%)

Memory

24.5MiB live, 212.6MiB allocated

Rules

16 524×	`lower-fma.f64`
16 524×	`lower-fma.f32`
5 278×	`lower-*.f32`
5 272×	`lower-*.f64`
3 274×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	36
0	15	36
1	70	24
2	661	18
0	9266	18

Stop Event

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

Counts

4 → 769

Calls

Call 1

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

Outputs
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)))) (.f64 y (-.f64 y (-.f64 x y))))
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (.f64 y x)))
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64))))) (neg.f64 (.f64 (*.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x y))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y x))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x y))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 4 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x y))) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x y))) (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 y x))
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (.f64 y y) x) (-.f64 x y))))
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)))) (.f64 (*.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 y x) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)))) (/.f64 (.f64 y x) (pow.f64 (.f64 (.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 y x) y) (/.f64 (*.f64 y x) (-.f64 x #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 y x) y) (/.f64 (*.f64 y x) (+.f64 y (-.f64 x y))))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y (-.f64 x y)))))
(.f64 (pow.f64 (.f64 (.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64))))
(.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) x))))
(.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y x))))
(.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))))
(.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (.f64 (.f64 y x) (pow.f64 (.f64 (*.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (*.f64 y y) x) (-.f64 x y)))))
(.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 y x) (.f64 (.f64 y x) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))
(*.f64 y (-.f64 (+.f64 x y) y))
(*.f64 y (+.f64 (+.f64 x y) (neg.f64 y)))
(*.f64 y (-.f64 x #s(literal 0 binary64)))
(*.f64 y (+.f64 y (-.f64 x y)))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)))) (pow.f64 (.f64 (.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (.f64 y x) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (.f64 y x) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x y)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (.f64 (.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 9 binary64)) (pow.f64 y #s(literal 18 binary64))) (pow.f64 (.f64 (.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x y)) #s(literal 3 binary64))))
(/.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 y x))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (.f64 y x)) (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (.f64 y x))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y x)))) (+.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (.f64 y x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y (+.f64 x y) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 y (+.f64 y x)) (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (.f64 y x)) (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (.f64 y x)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y x)) (.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (.f64 y x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 y (+.f64 y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y (+.f64 y x)) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 y x)) #s(literal 3 binary64)) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 y (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y (+.f64 y x)) (*.f64 (neg.f64 y) y)))))
(/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y) (-.f64 x #s(literal 0 binary64)))
(/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y) (+.f64 y (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)))) (neg.f64 (.f64 y (-.f64 y (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 y x))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 (*.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))))
(/.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (.f64 y x)) (.f64 (.f64 y x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64))) (.f64 y (-.f64 y (-.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 y (-.f64 x y))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (.f64 y y) x) (-.f64 x y))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (.f64 y y) x) (-.f64 x y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)))) (neg.f64 (.f64 (*.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 x y) y) (*.f64 (neg.f64 y) y)))
(/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y x))
(/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (.f64 y y) x) (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64))) (.f64 (*.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)))) (.f64 (*.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64))) (neg.f64 (.f64 (*.f64 y y) (fma.f64 y (-.f64 y (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))))
(neg.f64 (neg.f64 (*.f64 y x)))
(fma.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) y)) (*.f64 (neg.f64 y) y))
(fma.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 (neg.f64 y) (+.f64 x y)) (.f64 (neg.f64 y) y))
(fma.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (.f64 (.f64 y y) (fma.f64 y (+.f64 x y) (.f64 x x)))) (.f64 (neg.f64 y) y))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)))) (*.f64 y (-.f64 y (-.f64 x y))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64))
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(+.f64 (.f64 (neg.f64 y) y) (.f64 y (+.f64 y x)))
(+.f64 (.f64 (neg.f64 y) y) (.f64 (-.f64 x y) y))
(+.f64 (.f64 (-.f64 x y) y) (.f64 (neg.f64 y) y))
(+.f64 (.f64 (-.f64 x y) y) (.f64 y y))
(+.f64 (.f64 y y) (.f64 (-.f64 x y) y))
(+.f64 (*.f64 y x) #s(literal 0 binary64))

eval288.0ms (4.8%)

Memory: 10.6MiB live, 197.5MiB allocated
Compiler: Compiled 24 833 to 2 206 computations (91.1% saved)

prune96.0ms (1.6%)

Memory

5.5MiB live, 45.2MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	873	4	877
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	874	4	878

Accuracy

100.0%

Counts

878 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(fma.f64 (neg.f64 z) y (*.f64 y x))
▶	100.0%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
▶	51.9%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
▶	56.2%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

Compiler

Compiled 22 to 23 computations (-4.5% saved)

simplify389.0ms (6.5%)

Memory

1.0MiB live, 253.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

33 516×	`lower-fma.f32`
33 514×	`lower-fma.f64`
4 704×	`lower-+.f64`
4 704×	`lower-+.f32`
3 066×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	99
0	24	91
1	55	79
2	115	67
3	261	67
4	729	67
5	2324	67
6	4039	67
7	5032	67
8	5723	67
9	6032	67
10	6191	67
11	6211	67
12	6211	67
13	6211	67
0	8102	67

Stop Event

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

Calls

Call 1

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

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

localize70.0ms (1.2%)

Memory

-3.7MiB live, 73.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	1.249986238027801	(fma.f64 (neg.f64 z) y (*.f64 y x))
accuracy	0	(-.f64 x z)
accuracy	0	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
accuracy	0.00390625	(*.f64 (-.f64 x z) y)
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	30.764987622794713	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
accuracy	0	(*.f64 y x)
accuracy	28.051982574982148	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

Samples

45.0ms	178×	0	valid
16.0ms	78×	1	valid

Compiler

Compiled 87 to 17 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sub: 26.0ms (59.9% of total)

ival-mult: 11.0ms (25.4% of total)

adjust: 3.0ms (6.9% of total)

ival-add: 3.0ms (6.9% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

series34.0ms (0.6%)

Memory

-24.1MiB live, 21.7MiB allocated

Counts

9 → 264

Calls

Call 1

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

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

Calls

9 calls:

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

simplify228.0ms (3.8%)

Memory

21.6MiB live, 136.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 238×	`associate-/r*`
2 872×	`lower-/.f32`
2 872×	`lower-/.f64`
2 624×	`lower-fma.f64`
2 624×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	1410
1	190	1110
2	474	1110
3	1375	1110
4	2923	1110
5	4087	1110
6	4868	1110
7	5484	1110
8	5693	1110
9	5809	1110
10	6398	1110
11	6712	1110
12	6712	1110
13	6712	1110
14	6712	1110
0	8189	1110

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 261

Calls

Call 1

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

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

rewrite366.0ms (6.2%)

Memory

-25.1MiB live, 309.6MiB allocated

Rules

11 720×	`lower-fma.f32`
11 718×	`lower-fma.f64`
4 008×	`lower-*.f32`
4 002×	`lower-*.f64`
3 018×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	84
0	24	76
1	121	64
2	968	52
0	9029	52

Stop Event

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

Counts

9 → 688

Calls

Call 1

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

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

eval361.0ms (6.1%)

Memory: 14.1MiB live, 283.6MiB allocated
Compiler: Compiled 21 770 to 1 681 computations (92.3% saved)

prune67.0ms (1.1%)

Memory

10.8MiB live, 95.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	1 146	0	1 146
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	1 146	4	1 150

Accuracy

100.0%

Counts

1 150 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(fma.f64 (neg.f64 z) y (*.f64 y x))
✓	100.0%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
✓	51.9%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
✓	56.2%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

Compiler

Compiled 59 to 41 computations (30.5% saved)

regimes28.0ms (0.5%)

Memory

-14.1MiB live, 24.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	y
2.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
2.0ms	x
2.0ms	z

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

regimes7.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
78.0%	3	`x`
64.1%	3	`y`
82.8%	3	`z`
60.3%	3	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes24.0ms (0.4%)

Memory

-14.1MiB live, 22.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	x
1.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
56.2%	1	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`
56.2%	1	`y`
56.2%	1	`x`
56.2%	1	`z`

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch55.0ms (0.9%)

Memory

26.5MiB live, 65.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.662796776486186e+42	4.17341652924554e+45
38.0ms	-127723861104779.84	-990742883.4329383

Samples

33.0ms	198×	0	valid
9.0ms	74×	1	valid

Compiler

Compiled 171 to 236 computations (-38% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (48.1% of total)

ival-sub: 3.0ms (24.1% of total)

adjust: 2.0ms (16% of total)

ival-add: 2.0ms (16% of total)

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

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

simplify104.0ms (1.8%)

Memory

-20.4MiB live, 70.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	107
1	33	107
2	42	107
3	49	107
4	52	107
5	53	107

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 z #s(literal -98000000000000 binary64)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) (if (<=.f64 z #s(literal 1949999999999999847676257110705609470115840 binary64)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))))

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

Outputs

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

(if (<=.f64 z #s(literal -98000000000000 binary64)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) (if (<=.f64 z #s(literal 1949999999999999847676257110705609470115840 binary64)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))))

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

soundness704.0ms (11.8%)

Memory

-9.2MiB live, 150.5MiB allocated

Rules

3 996×	`lower-fma.f64`
3 996×	`lower-fma.f32`
2 108×	`lower-*.f64`
2 108×	`lower-*.f32`
1 920×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	504
1	151	426
2	377	426
3	1163	426
4	3336	426
5	5415	426
6	6433	426
7	7432	426
8	7597	426
9	7733	426
10	7832	426
0	8627	426

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 47 to 35 computations (25.5% saved)

preprocess39.0ms (0.7%)

Memory: 5.1MiB live, 124.4MiB allocated
Remove: (negabs y)
Compiler: Compiled 116 to 74 computations (36.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (25.9%)

explain170.0ms (2.9%)

preprocess427.0ms (7.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify346.0ms (5.8%)

localize57.0ms (1%)

series9.0ms (0.1%)

simplify174.0ms (2.9%)

rewrite364.0ms (6.1%)

eval288.0ms (4.8%)

prune96.0ms (1.6%)

simplify389.0ms (6.5%)

localize70.0ms (1.2%)

series34.0ms (0.6%)

simplify228.0ms (3.8%)

rewrite366.0ms (6.2%)

eval361.0ms (6.1%)

prune67.0ms (1.1%)

regimes28.0ms (0.5%)

regimes7.0ms (0.1%)

regimes24.0ms (0.4%)

bsearch55.0ms (0.9%)

simplify104.0ms (1.8%)

soundness704.0ms (11.8%)

preprocess39.0ms (0.7%)

end0.0ms (0%)

Profiling