Metrics for Linear.Projection:inverseInfinitePerspective from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample906.0ms (9.9%)

Memory

2.5MiB live, 1 246.1MiB allocated

Samples

550.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-mult: 176.0ms (77.8% of total)

ival-sub: 40.0ms (17.7% of total)

ival-true: 7.0ms (3.1% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain111.0ms (1.2%)

Memory

-9.6MiB live, 151.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
15	1	(1.1104615126725852e-264 3.220908319458324e-304 -3.088344835784225e-200 7.284778764478392e+179)	-	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
7	0	-	-	`(-.f64 (.f64 x y) (.f64 z y))`
0	0	-	-	`y`
0	0	-	-	`t`
0	0	-	-	`(*.f64 z y)`
0	0	-	-	`z`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`	*no**	11	0
`-.f64`	`(-.f64 (.f64 x y) (.f64 z y))`	nan-rescue	7	0
↳	`(*.f64 x y)`	overflow	36
↳	`(*.f64 z y)`	overflow	30
`*.f64`	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`	*nu**	5	0

Confusion

	Predicted +	Predicted -
+	22	0
-	1	233

Precision

0.9565217391304348

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	22	0	0
-	1	0	233

Precision?

0.9565217391304348

Recall?

1.0

Freqs

test

number	freq
0	233
1	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

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

ival-mult: 28.0ms (91.5% of total)

ival-sub: 2.0ms (6.5% of total)

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

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

preprocess117.0ms (1.3%)

Memory

27.3MiB live, 101.0MiB allocated

Algorithm

1×	egg-herbie

Rules

984×	`unsub-neg`
784×	`lower-fma.f64`
784×	`lower-fma.f32`
562×	`distribute-lft-in`
512×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	111
1	158	100
2	384	100
3	1336	100
4	2603	100
5	3524	100
6	3573	100
7	3575	100
8	3575	100
9	3575	100
10	3575	100
0	8	9
0	12	7
1	22	7
2	46	7
3	102	7
4	188	7
5	265	7
6	396	7
7	605	7
8	989	7
9	1097	7
10	1109	7
11	1109	7
0	1109	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(negabs t)

(negabs y)

(sort y t)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.2%	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify40.0ms (0.4%)

Memory

-31.4MiB live, 26.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

784×	`lower-fma.f64`
784×	`lower-fma.f32`
496×	`lower-*.f32`
490×	`lower-*.f64`
204×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	12	22
1	22	22
2	46	22
3	102	22
4	188	22
5	265	22
6	396	22
7	605	22
8	989	22
9	1097	22
10	1109	22
11	1109	22
0	1109	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.2%)

Memory

6.2MiB live, 44.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0	(*.f64 x y)
accuracy	0.9101521216604116	(-.f64 (.f64 x y) (.f64 z y))
accuracy	2.0748908308598244	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

Samples

15.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (68% of total)

ival-sub: 2.0ms (27.2% of total)

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

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

series14.0ms (0.1%)

Memory

-10.7MiB live, 27.0MiB allocated

Counts

4 → 132

Calls

Call 1

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

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

12 calls:

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

simplify116.0ms (1.3%)

Memory

22.9MiB live, 137.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 534×	`lower-fma.f64`
4 534×	`lower-fma.f32`
2 638×	`lower-*.f64`
2 638×	`lower-*.f32`
1 422×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	798
1	194	666
2	574	666
3	2066	666
4	4663	666
5	6788	666
6	7422	666
7	7874	666
0	8135	666

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite364.0ms (4%)

Memory

-9.9MiB live, 266.1MiB allocated

Rules

11 204×	`lower-fma.f64`
11 204×	`lower-fma.f32`
4 348×	`lower-*.f32`
4 342×	`lower-*.f64`
3 242×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	12	18
1	35	18
2	237	18
3	2343	18
0	8272	18

Stop Event

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

Counts

4 → 290

Calls

Call 1

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

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

eval85.0ms (0.9%)

Memory: 0.5MiB live, 72.8MiB allocated
Compiler: Compiled 15 145 to 1 048 computations (93.1% saved)

prune154.0ms (1.7%)

Memory

-5.9MiB live, 86.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	412	10	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	413	10	423

Accuracy

100.0%

Counts

423 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.2%	(fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (*.f64 y x)))
▶	96.7%	(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y)))
▶	92.2%	(.f64 (-.f64 x z) (.f64 t y))
	62.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z x) y)) (.f64 (.f64 (.f64 (+.f64 z x) y) (-.f64 x z)) y)) t)
▶	96.8%	(.f64 (.f64 (-.f64 x z) y) t)
	88.9%	(.f64 (.f64 (-.f64 x z) t) y)
	58.6%	(.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) (-.f64 x z)) y) (/.f64 t (*.f64 (+.f64 z x) y)))
▶	53.0%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
▶	59.3%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
	50.1%	#s(approx (* (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y))

Compiler

Compiled 282 to 166 computations (41.1% saved)

simplify142.0ms (1.5%)

Memory

11.6MiB live, 48.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x z)
cost-diff	0	(*.f64 (-.f64 x z) y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y))
cost-diff	1088	(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y)))
cost-diff	0	(*.f64 t y)
cost-diff	0	(-.f64 x z)
cost-diff	0	(.f64 (-.f64 x z) (.f64 t y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y))
cost-diff	0	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (- (* x y) (* z y)) (*.f64 y x))
cost-diff	0	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
cost-diff	0	(-.f64 x z)
cost-diff	0	(*.f64 (-.f64 x z) y)
cost-diff	0	(.f64 (.f64 (-.f64 x z) y) t)

Rules

944×	`lower-fma.f64`
944×	`lower-fma.f32`
656×	`lower-*.f32`
640×	`lower-*.f64`
486×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	130
0	34	120
1	60	120
2	95	120
3	194	120
4	378	120
5	509	120
6	785	120
7	1240	120
8	1834	120
9	2276	120
10	2365	120
11	2454	120
12	2480	120
13	2498	120
14	2508	120
15	2510	120
0	2510	120

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (0.6%)

Memory

2.1MiB live, 40.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x z)
accuracy	0.00390625	(*.f64 (-.f64 x z) y)
accuracy	0.4008200716871925	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y))
accuracy	2.0475470808598244	(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y)))
accuracy	0	(-.f64 x z)
accuracy	0	(*.f64 t y)
accuracy	4.968775770756466	(.f64 (-.f64 x z) (.f64 t y))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	2.0748908308598244	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
accuracy	30.52888962774664	#s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y))
accuracy	0	(*.f64 y x)
accuracy	2.0748908308598244	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
accuracy	26.589526298843335	#s(approx (- (* x y) (* z y)) (*.f64 y x))
accuracy	0	(-.f64 x z)
accuracy	0.00390625	(*.f64 (-.f64 x z) y)
accuracy	2.0748908308598244	(.f64 (.f64 (-.f64 x z) y) t)

Samples

44.0ms

256×

valid

Compiler

Compiled 114 to 21 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 19.0ms (71.9% of total)

ival-sub: 3.0ms (11.4% of total)

ival-div: 3.0ms (11.4% of total)

ival-neg: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.4%)

Memory

0.2MiB live, 37.4MiB allocated

Counts

14 → 492

Calls

Call 1

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

Outputs
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor 0 t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor 0 t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor 0 t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor 0 t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor 0 t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor 0 t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor 0 t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor 0 t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (-.f64 x z) (.f64 t y)) (patch (.f64 (-.f64 x z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (-.f64 x z) (.f64 t y)) (patch (.f64 (-.f64 x z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (-.f64 x z) (.f64 t y)) (patch (.f64 (-.f64 x z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (-.f64 x z) (.f64 t y)) (patch (.f64 (-.f64 x z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor inf t) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor inf t) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor inf t) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor inf t) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor inf t) (#s(alt (.f64 (-.f64 x z) (.f64 t y)) (patch (.f64 (-.f64 x z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor inf t) (#s(alt (.f64 (-.f64 x z) (.f64 t y)) (patch (.f64 (-.f64 x z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor inf t) (#s(alt (.f64 (-.f64 x z) (.f64 t y)) (patch (.f64 (-.f64 x z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor inf t) (#s(alt (.f64 (-.f64 x z) (.f64 t y)) (patch (.f64 (-.f64 x z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor inf t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor inf t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor inf t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor inf t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor inf t) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor inf t) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor inf t) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor inf t) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor -inf t) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor -inf t) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor -inf t) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor -inf t) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor -inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor -inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor -inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor -inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor -inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor -inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor -inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (* x y) (* y z))) (taylor -inf t) (#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor -inf t) (#s(alt (.f64 (-.f64 x z) (.f64 t y)) (patch (.f64 (-.f64 x z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor -inf t) (#s(alt (.f64 (-.f64 x z) (.f64 t y)) (patch (.f64 (-.f64 x z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor -inf t) (#s(alt (.f64 (-.f64 x z) (.f64 t y)) (patch (.f64 (-.f64 x z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor -inf t) (#s(alt (.f64 (-.f64 x z) (.f64 t y)) (patch (.f64 (-.f64 x z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor -inf t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor -inf t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor -inf t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor -inf t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor -inf t) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor -inf t) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor -inf t) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor -inf t) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 z) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t (* y z))) (* t (* x y))) (taylor 0 z) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t (* y z))) (* t (* x y))) (taylor 0 z) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t (* y z))) (* t (* x y))) (taylor 0 z) (#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<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>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x y)) (* -1 (/ z y))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x y))) (/ (pow z 2) y)) x)) (* -1 (/ z y))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((* (* (- x z) y) t) (* (- x z) y) (- x z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* y x) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (neg z) y) (neg z) (* (- x z) (* t y)) (* t y) (/ t (/ 1 (* (- x z) y))) (/ 1 (* (- x z) y)))
4.0ms	x	@	inf	((* (* (- x z) y) t) (* (- x z) y) (- x z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* y x) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (neg z) y) (neg z) (* (- x z) (* t y)) (* t y) (/ t (/ 1 (* (- x z) y))) (/ 1 (* (- x z) y)))
3.0ms	y	@	-inf	((* (* (- x z) y) t) (* (- x z) y) (- x z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* y x) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (neg z) y) (neg z) (* (- x z) (* t y)) (* t y) (/ t (/ 1 (* (- x z) y))) (/ 1 (* (- x z) y)))
2.0ms	t	@	inf	((* (* (- x z) y) t) (* (- x z) y) (- x z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* y x) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (neg z) y) (neg z) (* (- x z) (* t y)) (* t y) (/ t (/ 1 (* (- x z) y))) (/ 1 (* (- x z) y)))
2.0ms	y	@	inf	((* (* (- x z) y) t) (* (- x z) y) (- x z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* y x) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (neg z) y) (neg z) (* (- x z) (* t y)) (* t y) (/ t (/ 1 (* (- x z) y))) (/ 1 (* (- x z) y)))

simplify191.0ms (2.1%)

Memory

1.3MiB live, 149.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 926×	`lower-fma.f64`
5 926×	`lower-fma.f32`
3 190×	`lower-*.f64`
3 190×	`lower-*.f32`
1 828×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	3176
1	655	2982
2	1933	2935
3	5276	2917
0	8370	2912

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 489

Calls

Call 1

Inputs
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t y)
(* t y)
(* t y)
(* t y)
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t y)
(* t y)
(* t y)
(* t y)
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t y)
(* t y)
(* t y)
(* t y)
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* x y))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* 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))
(* t (* x y))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(* x y)
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(* t (* x y))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* 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)
(* t (* x y))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(* t (* x y))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(/ 1 (* x y))
(+ (/ 1 (* x y)) (/ z (* (pow x 2) y)))
(+ (* z (+ (/ 1 (* (pow x 2) y)) (/ z (* (pow x 3) y)))) (/ 1 (* x y)))
(+ (* z (+ (* z (+ (/ 1 (* (pow x 3) y)) (/ z (* (pow x 4) y)))) (/ 1 (* (pow x 2) y)))) (/ 1 (* x y)))
(* -1 (* t (* y z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* -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 (* t (* y z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* -1 (* y z))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* -1 (* t (* y z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* -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 (* t (* y z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* -1 (* t (* y z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(/ -1 (* y z))
(/ (- (* -1 (/ x (* y z))) (/ 1 y)) z)
(/ (- (* -1 (/ (pow x 2) (* y (pow z 2)))) (+ (/ 1 y) (/ x (* y z)))) z)
(/ (- (* -1 (/ (pow x 3) (* y (pow z 3)))) (+ (/ 1 y) (+ (/ x (* y z)) (/ (pow x 2) (* y (pow z 2)))))) z)
(* -1 (* t (* y z)))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t 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 (* t (* y z)))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t 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 (* t (* y z)))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t 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 (* t (* y z)))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* t (* y z)))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(/ -1 (* y z))
(* -1 (/ (+ (/ 1 y) (/ x (* y z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y z))) (/ x y)) z)) (/ 1 y)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y z)) (* -1 (/ (pow x 2) y))) z)) (/ x y)) z)) (/ 1 y)) z))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* x y)
(* x y)
(* x y)
(* x y)
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t y)
(* t y)
(* t y)
(* t y)
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* x y)
(* x y)
(* x y)
(* x y)
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t y)
(* t y)
(* t y)
(* t y)
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(* -1 (* t (* 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 (- (* -1 x) (* -1 z))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(* -1 (* t (* 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 (- (* -1 x) (* -1 z))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t y)
(* t y)
(* t y)
(* t y)
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(* -1 (* t (* y z)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(* -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 (* t (* y z)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(* -1 (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* t (* y z)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(* -1 (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(* -1 (* t (* y z)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(* -1 (* t (* y z)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(/ -1 (* y z))
(- (* -1 (/ x (* y (pow z 2)))) (/ 1 (* y z)))
(- (* x (- (* -1 (/ x (* y (pow z 3)))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))
(- (* x (- (* x (- (* -1 (/ x (* y (pow z 4)))) (/ 1 (* y (pow z 3))))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))
(* t (* x y))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* 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))))
(* t (* x y))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t 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)
(* t (* x y))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* t (* x y))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* t (* x y))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(/ 1 (* x y))
(/ (+ (/ 1 y) (/ z (* x y))) x)
(/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) y))) (* -1 (/ z (* x y)))) x)
(/ (- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) y))) (+ (* -1 (/ z (* x y))) (* -1 (/ (pow z 2) (* (pow x 2) y))))) x)
(* t (* x y))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* 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)))
(* t (* x y))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* 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)
(* t (* x y))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* 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))))
(* t (* x y))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* t (* x y))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(/ 1 (* x y))
(* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x y)) (* -1 (/ z y))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x y))) (/ (pow z 2) y)) x)) (* -1 (/ z y))) x)) (/ 1 y)) x))

Outputs
(* t (* y (- x z)))
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(- (* x y) (* y z))
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(- (* x y) (* y z))
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(* x y)
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(* x y)
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(* x y)
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(* x y)
(*.f64 x y)
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(.f64 (.f64 (neg.f64 t) z) y)
(+ (* -1 (* t (* y z))) (* t (* x y)))
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(+ (* -1 (* t (* y z))) (* t (* x y)))
(.f64 (.f64 (-.f64 x z) y) t)
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(- (* x y) (* y z))
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(- (* x y) (* y z))
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(+ (* -1 (* t (* y z))) (* t (* x y)))
(.f64 (.f64 (-.f64 x z) y) t)
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(.f64 (.f64 (neg.f64 t) z) y)
(+ (* -1 (* t (* y z))) (* t (* x y)))
(.f64 (.f64 (-.f64 x z) y) t)
(+ (* -1 (* t (* y z))) (* t (* x y)))
(.f64 (.f64 (-.f64 x z) y) t)
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(.f64 (.f64 (-.f64 x z) y) t)
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 z y))
(- (* -1 (/ x (* y (pow z 2)))) (/ 1 (* y z)))
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 z y)) (/.f64 x (.f64 (*.f64 z z) y)))
(- (* x (- (* -1 (/ x (* y (pow z 3)))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (-.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 x y)) z)) z)
(- (* x (- (* x (- (* -1 (/ x (* y (pow z 4)))) (/ 1 (* y (pow z 3))))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 z z) z) y)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) x (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) y))) x (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(* t (* x y))
(.f64 (.f64 y t) x)
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(.f64 (.f64 (-.f64 x z) y) t)
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(.f64 (.f64 (-.f64 x z) y) t)
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(.f64 (.f64 (-.f64 x z) y) t)
(* x y)
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(*.f64 (-.f64 x z) y)
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(* x (+ y (* -1 (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
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(* t (* x y))
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(.f64 (.f64 (-.f64 x z) y) t)
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(.f64 (.f64 (-.f64 x z) y) t)
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(.f64 (.f64 (-.f64 x z) y) t)
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(.f64 (.f64 (-.f64 x z) y) t)
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(.f64 (.f64 (-.f64 x z) y) t)
(* t (* x y))
(.f64 (.f64 y t) x)
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(.f64 (.f64 (-.f64 x z) y) t)
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(.f64 (.f64 (-.f64 x z) y) t)
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(.f64 (.f64 (-.f64 x z) y) t)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (/ 1 y) (/ z (* x y))) x)
(-.f64 (/.f64 z (.f64 (.f64 x x) y)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) y))) (* -1 (/ z (* x y)))) x)
(-.f64 (/.f64 (.f64 (-.f64 (/.f64 z x) #s(literal -1 binary64)) (/.f64 z y)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/ (- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) y))) (+ (* -1 (/ z (* x y))) (* -1 (/ (pow z 2) (* (pow x 2) y))))) x)
(/.f64 (-.f64 (/.f64 (.f64 (/.f64 z y) (fma.f64 (/.f64 z x) z z)) (.f64 x x)) (*.f64 (-.f64 (/.f64 z x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) x)
(* t (* x y))
(.f64 (.f64 y t) x)
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(.f64 (.f64 (-.f64 x z) y) t)
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(.f64 (.f64 (-.f64 x z) y) t)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 (-.f64 x z) y) t)
(* x y)
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(* -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)
(* t (* x y))
(.f64 (.f64 y t) x)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 (-.f64 x z) y) t)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 (-.f64 x z) y) t)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 (-.f64 x z) y) t)
(* x y)
(*.f64 x 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)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* t (* x y))
(.f64 (.f64 y t) x)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 (-.f64 x z) y) t)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 (-.f64 x z) y) t)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 (-.f64 x z) y) t)
(* x y)
(*.f64 x 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)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* t (* x y))
(.f64 (.f64 y t) x)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 (-.f64 x z) y) t)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 (-.f64 x z) y) t)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 (-.f64 x z) y) t)
(* t (* x y))
(.f64 (.f64 y t) x)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 (-.f64 x z) y) t)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 (-.f64 x z) y) t)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 (-.f64 x z) y) t)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 y)) x))
(-.f64 (/.f64 z (.f64 (.f64 x x) y)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x y)) (* -1 (/ z y))) x)) (/ 1 y)) x))
(-.f64 (/.f64 (.f64 (-.f64 (/.f64 z x) #s(literal -1 binary64)) (/.f64 z y)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x y))) (/ (pow z 2) y)) x)) (* -1 (/ z y))) x)) (/ 1 y)) x))
(/.f64 (-.f64 (/.f64 (.f64 (/.f64 z y) (fma.f64 (/.f64 z x) z z)) (.f64 x x)) (*.f64 (-.f64 (/.f64 z x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) x)

rewrite566.0ms (6.2%)

Memory

-11.9MiB live, 362.6MiB allocated

Rules

4 620×	`lower-fma.f64`
4 620×	`lower-fma.f32`
4 276×	`lower-*.f32`
4 260×	`lower-*.f64`
2 848×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	100
0	34	90
1	99	90
2	547	90
3	6234	90
0	8072	90

Stop Event

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

Counts

14 → 1 056

Calls

Call 1

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

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

eval637.0ms (7%)

Memory: 42.1MiB live, 377.3MiB allocated
Compiler: Compiled 43 996 to 2 670 computations (93.9% saved)

prune337.0ms (3.7%)

Memory

-27.0MiB live, 394.7MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	2 015	8	2 023
Fresh	3	2	5
Picked	1	4	5
Done	0	0	0
Total	2 019	14	2 033

Accuracy

100.0%

Counts

2 033 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.2%	(fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (*.f64 y x)))
	59.3%	(/.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) (/.f64 #s(literal 1 binary64) t))
▶	59.3%	(/.f64 t (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (*.f64 x y))))
	53.0%	(/.f64 t #s(approx (/ 1 (* (- x z) y)) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
▶	96.7%	(*.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t)
✓	92.2%	(.f64 (-.f64 x z) (.f64 t y))
✓	96.8%	(.f64 (.f64 (-.f64 x z) y) t)
	88.9%	(.f64 (.f64 (-.f64 x z) t) y)
	92.1%	(.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y))
✓	53.0%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
✓	59.3%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
▶	52.4%	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
	50.1%	#s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 (neg.f64 t) z) y))
▶	58.0%	#s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x))

Compiler

Compiled 299 to 189 computations (36.8% saved)

simplify93.0ms (1%)

Memory

-12.5MiB live, 67.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (* (- x z) y) (*.f64 x y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (*.f64 x y)))
cost-diff	1088	(/.f64 t (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (*.f64 x y))))
cost-diff	0	(.f64 t (.f64 y x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	640	(fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (*.f64 y x)))
cost-diff	0	(*.f64 t y)
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- x z) (neg.f64 z))
cost-diff	0	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
cost-diff	0	(*.f64 y t)
cost-diff	0	(.f64 (.f64 y t) x)
cost-diff	0	#s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	(-.f64 x z)
cost-diff	0	(*.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t)
cost-diff	1088	(/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y))

Rules

1 056×	`lower-fma.f32`
1 054×	`lower-fma.f64`
768×	`lower-*.f32`
750×	`lower-*.f64`
410×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	146
0	47	144
1	87	134
2	159	134
3	309	134
4	467	134
5	619	134
6	920	134
7	1223	134
8	1819	134
9	2340	134
10	2814	134
11	2900	134
12	3006	134
13	3016	134
14	3023	134
15	3025	134
0	3025	134

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize70.0ms (0.8%)

Memory

16.0MiB live, 177.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.4008200716871925	(/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (*.f64 x y)))
accuracy	2.0475470808598244	(/.f64 t (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (*.f64 x y))))
accuracy	26.589526298843335	#s(approx (* (- x z) y) (*.f64 x y))
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 y)
accuracy	2.9615380394405304	(fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (*.f64 y x)))
accuracy	3.876629868465994	(.f64 t (.f64 y x))
accuracy	0	(*.f64 t y)
accuracy	0	(neg.f64 z)
accuracy	4.968775770756466	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
accuracy	34.47602002965405	#s(approx (- x z) (neg.f64 z))
accuracy	0	(*.f64 y t)
accuracy	4.674375562207553	(.f64 (.f64 y t) x)
accuracy	24.783412958664087	#s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0	(-.f64 x z)
accuracy	0.21875	(/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y))
accuracy	2.0748908308598244	(*.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t)

Samples

54.0ms

256×

valid

Compiler

Compiled 125 to 26 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 17.0ms (57.9% of total)

ival-div: 7.0ms (23.8% of total)

ival-neg: 2.0ms (6.8% of total)

ival-sub: 1.0ms (3.4% of total)

ival-add: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.4%)

Memory

14.5MiB live, 93.1MiB allocated

Counts

20 → 624

Calls

Call 1

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

Outputs
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) (patch (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) (patch (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) (patch (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) (patch (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (.f64 (.f64 y t) x) (patch (.f64 (.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (.f64 (.f64 y t) x) (patch (.f64 (.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (.f64 (.f64 y t) x) (patch (.f64 (.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (.f64 (.f64 y t) x) (patch (.f64 (.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (patch (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (patch (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (patch (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (patch (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y))) (taylor inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) (patch (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y))) (taylor inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) (patch (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y))) (taylor inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) (patch (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor inf x) (#s(alt (.f64 t (.f64 y x)) (patch (.f64 t (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor inf x) (#s(alt (.f64 t (.f64 y x)) (patch (.f64 t (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor inf x) (#s(alt (.f64 t (.f64 y x)) (patch (.f64 t (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor inf x) (#s(alt (.f64 t (.f64 y x)) (patch (.f64 t (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor inf x) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y)))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y))) (taylor inf x) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y)))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y))) (taylor inf x) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y)))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y))) (taylor inf x) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y)))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ 1 y) (/ z (* x y))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) y))) (* -1 (/ z (* x y)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) y))) (+ (* -1 (/ z (* x y))) (* -1 (/ (pow z 2) (* (pow x 2) y))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (* (- x z) y) (.f64 x y)) (patch #s(approx ( (- x z) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (* (- x z) y) (.f64 x y)) (patch #s(approx ( (- x z) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (* (- x z) y) (.f64 x y)) (patch #s(approx ( (- x z) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (* (- x z) y) (.f64 x y)) (patch #s(approx ( (- x z) y) (*.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 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) (patch (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) (patch (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) (patch (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) (patch (.f64 (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) t) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y t) x) (patch (.f64 (.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y t) x) (patch (.f64 (.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y t) x) (patch (.f64 (.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y t) x) (patch (.f64 (.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (patch (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (patch (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (patch (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (patch (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x z) (neg.f64 z)) (patch #s(approx (- x z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt #s(approx (- x z) (neg.f64 z)) (patch #s(approx (- x z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt #s(approx (- x z) (neg.f64 z)) (patch #s(approx (- x z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt #s(approx (- x z) (neg.f64 z)) (patch #s(approx (- x z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) (patch (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) (patch (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) (patch (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) (patch (fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 t (.f64 y x)) (patch (.f64 t (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 t (.f64 y x)) (patch (.f64 t (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 t (.f64 y x)) (patch (.f64 t (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 t (.f64 y x)) (patch (.f64 t (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y)))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y)))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y)))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y)))) (patch (/.f64 t (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x y)) (* -1 (/ z y))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x y))) (/ (pow z 2) y)) x)) (* -1 (/ z y))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx ( (- x z) y) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (* (- x z) y) (.f64 x y)) (patch #s(approx ( (- x z) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt #s(approx (* (- x z) y) (.f64 x y)) (patch #s(approx ( (- x z) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt #s(approx (* (- x z) y) (.f64 x y)) (patch #s(approx ( (- x z) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt #s(approx (* (- x z) y) (.f64 x y)) (patch #s(approx ( (- x z) y) (*.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 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())

Calls

12 calls:

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

simplify320.0ms (3.5%)

Memory

-24.3MiB live, 214.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 920×	`lower-fma.f64`
8 920×	`lower-fma.f32`
4 596×	`lower-*.f64`
4 596×	`lower-*.f32`
2 276×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	3631
1	672	3439
2	1974	3396
3	6814	3373
0	8124	3369

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 618

Calls

Call 1

Inputs
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t y)
(* t y)
(* t y)
(* t y)
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t y)
(* t y)
(* t y)
(* t y)
(* t (+ (* -1 (* y z)) (* x y)))
(* t (+ (* -1 (* y z)) (* x y)))
(* t (+ (* -1 (* y z)) (* x y)))
(* t (+ (* -1 (* y z)) (* x y)))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* y (- x z)))
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Outputs
(* t (* y (- x z)))
(.f64 (.f64 (-.f64 x z) y) t)
(* t (* y (- x z)))
(.f64 (.f64 (-.f64 x z) y) t)
(* t (* y (- x z)))
(.f64 (.f64 (-.f64 x z) y) t)
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(.f64 (.f64 (-.f64 x z) y) t)
(* t (* y (- x z)))
(.f64 (.f64 (-.f64 x z) y) t)
(* t (* y (- x z)))
(.f64 (.f64 (-.f64 x z) y) t)
(* t (* y (- x z)))
(.f64 (.f64 (-.f64 x z) y) t)
(* t (* y (- x z)))
(.f64 (.f64 (-.f64 x z) y) t)
(* t (* x y))
(.f64 (.f64 x y) t)
(* t (* x y))
(.f64 (.f64 x y) t)
(* t (* x y))
(.f64 (.f64 x y) t)
(* t (* x y))
(.f64 (.f64 x y) t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t (* y (- x z)))
(.f64 (.f64 (-.f64 x z) y) t)
(* t (* y (- x z)))
(.f64 (.f64 (-.f64 x z) y) t)
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(.f64 (.f64 (-.f64 x z) y) t)
(* t (* y (- x z)))
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(* t y)
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(* t y)
(*.f64 y t)
(* t (+ (* -1 (* y z)) (* x y)))
(.f64 (.f64 (-.f64 x z) y) t)
(* t (+ (* -1 (* y z)) (* x y)))
(.f64 (.f64 (-.f64 x z) y) t)
(* t (+ (* -1 (* y z)) (* x y)))
(.f64 (.f64 (-.f64 x z) y) t)
(* t (+ (* -1 (* y z)) (* x y)))
(.f64 (.f64 (-.f64 x z) y) t)
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(* t (* x y))
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(.f64 (.f64 (-.f64 x z) y) t)
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(.f64 (.f64 (-.f64 x z) y) t)
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rewrite210.0ms (2.3%)

Memory

9.5MiB live, 282.9MiB allocated

Rules

8 312×	`lower-fma.f32`
8 310×	`lower-fma.f64`
6 374×	`lower-*.f32`
6 356×	`lower-*.f64`
3 320×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	127
0	47	125
1	150	115
2	852	115
0	8681	115

Stop Event

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

Counts

20 → 1 111

Calls

Call 1

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

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

eval249.0ms (2.7%)

Memory: 24.0MiB live, 529.2MiB allocated
Compiler: Compiled 27 541 to 2 292 computations (91.7% saved)

prune251.0ms (2.7%)

Memory

-10.6MiB live, 585.1MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1 725	4	1 729
Fresh	2	3	5
Picked	1	4	5
Done	0	4	4
Total	1 728	15	1 743

Accuracy

100.0%

Counts

1 743 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.2%	(fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (*.f64 y x)))
✓	59.3%	(/.f64 t (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (*.f64 x y))))
	53.0%	(/.f64 t #s(approx (/ 1 (* (- x z) y)) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
	53.0%	(*.f64 (/.f64 #s(approx (- x z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) t)
✓	92.2%	(.f64 (-.f64 x z) (.f64 t y))
✓	96.8%	(.f64 (.f64 (-.f64 x z) y) t)
▶	88.9%	(.f64 (.f64 (-.f64 x z) t) y)
▶	92.1%	(.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y))
▶	50.1%	(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)
✓	53.0%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
✓	59.3%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
✓	52.4%	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
▶	55.7%	#s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y)))
✓	58.0%	#s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x))
▶	55.7%	#s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y))

Compiler

Compiled 271 to 171 computations (36.9% saved)

simplify178.0ms (2%)

Memory

40.2MiB live, 261.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 t x)
cost-diff	0	#s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y)))
cost-diff	1088	(/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))
cost-diff	0	(-.f64 x z)
cost-diff	0	(*.f64 (-.f64 x z) t)
cost-diff	0	(.f64 (.f64 (-.f64 x z) t) y)
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- x z) (neg.f64 z))
cost-diff	0	(*.f64 #s(approx (- x z) (neg.f64 z)) t)
cost-diff	0	(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)
cost-diff	0	(*.f64 t x)
cost-diff	0	(.f64 (.f64 t x) y)
cost-diff	0	#s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y))
cost-diff	0	(+.f64 z x)
cost-diff	0	(.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y))
cost-diff	320	(*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
cost-diff	1408	(.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))))

Rules

15 788×	`lower-fma.f64`
15 788×	`lower-fma.f32`
4 356×	`lower-*.f32`
4 336×	`lower-*.f64`
3 494×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	166
0	45	192
1	83	176
2	190	136
3	717	136
4	3918	136
5	6422	136
0	9365	136

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (0.7%)

Memory

-7.5MiB live, 113.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 t x)
accuracy	5.32856482642261	(/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))
accuracy	24.783412958664087	#s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y)))
accuracy	0	(-.f64 x z)
accuracy	0.015625	(*.f64 (-.f64 x z) t)
accuracy	7.119780330073891	(.f64 (.f64 (-.f64 x z) t) y)
accuracy	0	(neg.f64 z)
accuracy	0.015625	(*.f64 #s(approx (- x z) (neg.f64 z)) t)
accuracy	7.119780330073891	(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)
accuracy	34.47602002965405	#s(approx (- x z) (neg.f64 z))
accuracy	0	(*.f64 t x)
accuracy	5.295029816654169	(.f64 (.f64 t x) y)
accuracy	24.783412958664087	#s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (+.f64 z x))
accuracy	0.041347509768442016	(.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
accuracy	0.16015625	(*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
accuracy	4.968775770756466	(.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y))

Samples

46.0ms

256×

valid

Compiler

Compiled 145 to 24 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 15.0ms (55% of total)

ival-div: 8.0ms (29.3% of total)

ival-add: 2.0ms (7.3% of total)

ival-sub: 1.0ms (3.7% of total)

ival-neg: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.4%)

Memory

-14.8MiB live, 60.9MiB allocated

Counts

18 → 576

Calls

Call 1

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

Outputs
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) (patch (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) (patch (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) (patch (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) (patch (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (.f64 (.f64 t x) y) (patch (.f64 (.f64 t x) y) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (.f64 (.f64 t x) y) (patch (.f64 (.f64 t x) y) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (.f64 (.f64 t x) y) (patch (.f64 (.f64 t x) y) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (.f64 (.f64 t x) y) (patch (.f64 (.f64 t x) y) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 t) (#s(alt (.f64 t x) (patch (.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 t) (#s(alt (.f64 t x) (patch (.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 t) (#s(alt (.f64 t x) (patch (.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 t) (#s(alt (.f64 t x) (patch (.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) (patch (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) (patch (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) (patch (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) (patch (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) #<representation binary64>) () ())) ())
#s(alt (* t (- x z)) (taylor 0 t) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) t) (patch (.f64 #s(approx (- x z) (neg.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- x z)) (taylor 0 t) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) t) (patch (.f64 #s(approx (- x z) (neg.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- x z)) (taylor 0 t) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) t) (patch (.f64 #s(approx (- x z) (neg.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (* t (- x z)) (taylor 0 t) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) t) (patch (.f64 #s(approx (- x z) (neg.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 x z) t) y) (patch (.f64 (.f64 (-.f64 x z) t) y) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 x z) t) y) (patch (.f64 (.f64 (-.f64 x z) t) y) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 x z) t) y) (patch (.f64 (.f64 (-.f64 x z) t) y) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 x z) t) y) (patch (.f64 (.f64 (-.f64 x z) t) y) #<representation binary64>) () ())) ())
#s(alt (* t (- x z)) (taylor 0 t) (#s(alt (.f64 (-.f64 x z) t) (patch (.f64 (-.f64 x z) t) #<representation binary64>) () ())) ())
#s(alt (* t (- x z)) (taylor 0 t) (#s(alt (.f64 (-.f64 x z) t) (patch (.f64 (-.f64 x z) t) #<representation binary64>) () ())) ())
#s(alt (* t (- x z)) (taylor 0 t) (#s(alt (.f64 (-.f64 x z) t) (patch (.f64 (-.f64 x z) t) #<representation binary64>) () ())) ())
#s(alt (* t (- x z)) (taylor 0 t) (#s(alt (.f64 (-.f64 x z) t) (patch (.f64 (-.f64 x z) t) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ t (/ 1 ( (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ t (/ 1 ( (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ t (/ 1 ( (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* t (* y (- x z))) (taylor 0 t) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ t (/ 1 ( (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
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#s(alt (* t (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ t (/ 1 ( (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y))) (taylor inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ t (/ 1 ( (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y))) (taylor inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ t (/ 1 ( (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y))) (taylor inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ t (/ 1 ( (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ z x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow z 3) (pow x 3)))) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (patch (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (patch (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (patch (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (patch (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (patch (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ z x))) (/ z x)) (taylor -inf x) (#s(alt (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (patch (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 z) z)) (/ (* z (- (* -1 z) z)) x)) x))) (taylor -inf x) (#s(alt (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (patch (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 z) z)) (* -1 (/ (+ (* -1 (* z (- (* -1 z) z))) (/ (* (pow z 2) (- (* -1 z) z)) x)) x))) x))) (taylor -inf x) (#s(alt (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (patch (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) (patch (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) (patch (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) (patch (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) (patch (.f64 (.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) (patch #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 t x) y) (patch (.f64 (.f64 t x) y) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 t x) y) (patch (.f64 (.f64 t x) y) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 t x) y) (patch (.f64 (.f64 t x) y) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 t x) y) (patch (.f64 (.f64 t x) y) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor -inf x) (#s(alt (.f64 t x) (patch (.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor -inf x) (#s(alt (.f64 t x) (patch (.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor -inf x) (#s(alt (.f64 t x) (patch (.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor -inf x) (#s(alt (.f64 t x) (patch (.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) (patch (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) (patch (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) (patch (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) (patch (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor -inf x) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) t) (patch (.f64 #s(approx (- x z) (neg.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 t) (/ (* t z) x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) t) (patch (.f64 #s(approx (- x z) (neg.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 t) (/ (* t z) x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) t) (patch (.f64 #s(approx (- x z) (neg.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 t) (/ (* t z) x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) t) (patch (.f64 #s(approx (- x z) (neg.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x z) (neg.f64 z)) (patch #s(approx (- x z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt #s(approx (- x z) (neg.f64 z)) (patch #s(approx (- x z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt #s(approx (- x z) (neg.f64 z)) (patch #s(approx (- x z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt #s(approx (- x z) (neg.f64 z)) (patch #s(approx (- x z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 x z) t) y) (patch (.f64 (.f64 (-.f64 x z) t) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 x z) t) y) (patch (.f64 (.f64 (-.f64 x z) t) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 x z) t) y) (patch (.f64 (.f64 (-.f64 x z) t) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 x z) t) y) (patch (.f64 (.f64 (-.f64 x z) t) y) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor -inf x) (#s(alt (.f64 (-.f64 x z) t) (patch (.f64 (-.f64 x z) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 t) (/ (* t z) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x z) t) (patch (.f64 (-.f64 x z) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 t) (/ (* t z) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x z) t) (patch (.f64 (-.f64 x z) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 t) (/ (* t z) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x z) t) (patch (.f64 (-.f64 x z) t) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor -inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ t (/ 1 ( (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ t (/ 1 ( (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ t (/ 1 ( (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x)))) (taylor -inf x) (#s(alt #s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (.f64 t x) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ t (/ 1 ( (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ z x) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 z x)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((* (+ z x) (* (- x z) (/ 1 (+ z x)))) (* (- x z) (/ 1 (+ z x))) (* (* (+ z x) (* (- x z) (/ 1 (+ z x)))) (* t y)) (+ z x) (/ t (/ 1 (* (- x z) y))) (* (* t x) y) (* t x) (* (* (- x z) t) y) (* (- x z) t) (- x z) (neg z) (* (* (- x z) t) y) (* (- x z) t) (- x z) (/ (* t x) (/ 1 y)) (/ t (/ 1 (* (- x z) y))) (/ 1 y) (/ 1 (+ z x)))
2.0ms	x	@	-inf	((* (+ z x) (* (- x z) (/ 1 (+ z x)))) (* (- x z) (/ 1 (+ z x))) (* (* (+ z x) (* (- x z) (/ 1 (+ z x)))) (* t y)) (+ z x) (/ t (/ 1 (* (- x z) y))) (* (* t x) y) (* t x) (* (* (- x z) t) y) (* (- x z) t) (- x z) (neg z) (* (* (- x z) t) y) (* (- x z) t) (- x z) (/ (* t x) (/ 1 y)) (/ t (/ 1 (* (- x z) y))) (/ 1 y) (/ 1 (+ z x)))
2.0ms	x	@	inf	((* (+ z x) (* (- x z) (/ 1 (+ z x)))) (* (- x z) (/ 1 (+ z x))) (* (* (+ z x) (* (- x z) (/ 1 (+ z x)))) (* t y)) (+ z x) (/ t (/ 1 (* (- x z) y))) (* (* t x) y) (* t x) (* (* (- x z) t) y) (* (- x z) t) (- x z) (neg z) (* (* (- x z) t) y) (* (- x z) t) (- x z) (/ (* t x) (/ 1 y)) (/ t (/ 1 (* (- x z) y))) (/ 1 y) (/ 1 (+ z x)))
2.0ms	t	@	-inf	((* (+ z x) (* (- x z) (/ 1 (+ z x)))) (* (- x z) (/ 1 (+ z x))) (* (* (+ z x) (* (- x z) (/ 1 (+ z x)))) (* t y)) (+ z x) (/ t (/ 1 (* (- x z) y))) (* (* t x) y) (* t x) (* (* (- x z) t) y) (* (- x z) t) (- x z) (neg z) (* (* (- x z) t) y) (* (- x z) t) (- x z) (/ (* t x) (/ 1 y)) (/ t (/ 1 (* (- x z) y))) (/ 1 y) (/ 1 (+ z x)))
1.0ms	x	@	0	((* (+ z x) (* (- x z) (/ 1 (+ z x)))) (* (- x z) (/ 1 (+ z x))) (* (* (+ z x) (* (- x z) (/ 1 (+ z x)))) (* t y)) (+ z x) (/ t (/ 1 (* (- x z) y))) (* (* t x) y) (* t x) (* (* (- x z) t) y) (* (- x z) t) (- x z) (neg z) (* (* (- x z) t) y) (* (- x z) t) (- x z) (/ (* t x) (/ 1 y)) (/ t (/ 1 (* (- x z) y))) (/ 1 y) (/ 1 (+ z x)))

simplify214.0ms (2.3%)

Memory

1.0MiB live, 230.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 448×	`lower-fma.f64`
9 448×	`lower-fma.f32`
3 508×	`lower-*.f64`
3 508×	`lower-*.f32`
2 864×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	4123
1	879	3967
2	2451	3762
3	7166	3762
0	8088	3714

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 561

Calls

Call 1

Inputs
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t x)
(* t x)
(* t x)
(* t x)
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (- x z))
(* t (- x z))
(* t (- x z))
(* t (- x z))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (- x z))
(* t (- x z))
(* t (- x z))
(* t (- x z))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t x)
(* t x)
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* -1 (* x (- (/ z x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* -1 (* x (- (/ z x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* t (* x y))
(.f64 (.f64 x y) t)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 t (fma.f64 (neg.f64 y) (/.f64 z x) y)) x)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 t (fma.f64 (neg.f64 y) (/.f64 z x) y)) x)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 t (fma.f64 (neg.f64 y) (/.f64 z x) y)) x)
(* t x)
(*.f64 x t)
(* -1 (* x (+ (* -1 t) (/ (* t z) x))))
(.f64 (.f64 t (-.f64 #s(literal 1 binary64) (/.f64 z x))) x)
(* -1 (* x (+ (* -1 t) (/ (* t z) x))))
(.f64 (.f64 t (-.f64 #s(literal 1 binary64) (/.f64 z x))) x)
(* -1 (* x (+ (* -1 t) (/ (* t z) x))))
(.f64 (.f64 t (-.f64 #s(literal 1 binary64) (/.f64 z x))) x)
x
(* -1 (* x (- (/ z x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* -1 (* x (- (/ z x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* -1 (* x (- (/ z x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* t (* x y))
(.f64 (.f64 x y) t)
(* t (* x y))
(.f64 (.f64 x y) t)
(* t (* x y))
(.f64 (.f64 x y) t)
(* t (* x y))
(.f64 (.f64 x y) t)
(* t (* x y))
(.f64 (.f64 x y) t)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 t (fma.f64 (neg.f64 y) (/.f64 z x) y)) x)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 t (fma.f64 (neg.f64 y) (/.f64 z x) y)) x)
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(.f64 (.f64 t (fma.f64 (neg.f64 y) (/.f64 z x) y)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ z x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) z #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (.f64 z (.f64 z (-.f64 (/.f64 z x) #s(literal 1 binary64)))) x) z) x) #s(literal 1 binary64)) (neg.f64 x))

rewrite522.0ms (5.7%)

Memory

-9.4MiB live, 306.1MiB allocated

Rules

5 884×	`lower-*.f32`
5 864×	`lower-*.f64`
4 064×	`lower-/.f32`
4 058×	`lower-/.f64`
3 876×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	138
0	45	144
1	138	108
2	795	108
0	8569	108

Stop Event

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

Counts

18 → 2 235

Calls

Call 1

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

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

eval546.0ms (6%)

Memory: 26.7MiB live, 742.9MiB allocated
Compiler: Compiled 73 724 to 5 903 computations (92% saved)

prune563.0ms (6.2%)

Memory

-14.7MiB live, 926.7MiB allocated

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	3 277	1	3 278
Fresh	0	2	2
Picked	1	4	5
Done	0	8	8
Total	3 278	15	3 293

Accuracy

100.0%

Counts

3 293 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.2%	(fma.f64 (.f64 (neg.f64 y) z) t (.f64 t (*.f64 y x)))
✓	59.3%	(/.f64 t (/.f64 #s(literal 1 binary64) #s(approx (* (- x z) y) (*.f64 x y))))
	53.0%	(/.f64 t #s(approx (/ 1 (* (- x z) y)) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
	53.0%	(*.f64 (/.f64 #s(approx (- x z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) t)
✓	92.2%	(.f64 (-.f64 x z) (.f64 t y))
✓	96.8%	(.f64 (.f64 (-.f64 x z) y) t)
✓	88.9%	(.f64 (.f64 (-.f64 x z) t) y)
✓	50.1%	(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)
✓	53.0%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
✓	59.3%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
✓	52.4%	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
✓	55.7%	#s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) y)))
	57.7%	#s(approx (/ t (/ 1 (* (- x z) y))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y t))))
✓	58.0%	#s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x))
✓	55.7%	#s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y))

Compiler

Compiled 394 to 175 computations (55.6% saved)

regimes43.0ms (0.5%)

Memory

27.2MiB live, 27.2MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 x z) y) t)

Calls

6 calls:

7.0ms	z
7.0ms	y
7.0ms	x
7.0ms	(-.f64 (.f64 x y) (.f64 z y))
7.0ms	t

Results

Accuracy	Segments	Branch
96.8%	1	`x`
96.8%	1	`y`
96.8%	1	`z`
96.8%	1	`t`
96.8%	1	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
96.8%	1	`(-.f64 (.f64 x y) (.f64 z y))`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes52.0ms (0.6%)

Memory

-6.5MiB live, 32.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

6 calls:

34.0ms	t
4.0ms	z
4.0ms	y
3.0ms	x
3.0ms	(-.f64 (.f64 x y) (.f64 z y))

Results

Accuracy	Segments	Branch
92.1%	2	`x`
88.9%	1	`y`
91.2%	2	`z`
88.9%	1	`t`
88.9%	1	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
88.9%	1	`(-.f64 (.f64 x y) (.f64 z y))`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes200.0ms (2.2%)

Memory

-20.4MiB live, 19.4MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

6 calls:

183.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
3.0ms	x
3.0ms	y
3.0ms	z
3.0ms	t

Results

Accuracy	Segments	Branch
63.5%	3	`y`
63.0%	2	`t`
69.7%	5	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
68.9%	5	`(-.f64 (.f64 x y) (.f64 z y))`
79.7%	3	`z`
81.3%	3	`x`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes3.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
80.7%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.0%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	x
2.0ms	y
2.0ms	z
2.0ms	t
2.0ms	(-.f64 (.f64 x y) (.f64 z y))

Results

Accuracy	Segments	Branch
59.3%	1	`y`
61.3%	2	`t`
59.3%	1	`(-.f64 (.f64 x y) (.f64 z y))`
59.3%	1	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
59.3%	1	`z`
59.3%	1	`x`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes94.0ms (1%)

Memory

-20.1MiB live, 17.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

88.0ms	x
1.0ms	z
1.0ms	y
1.0ms	t
1.0ms	(-.f64 (.f64 x y) (.f64 z y))

Results

Accuracy	Segments	Branch
55.7%	1	`z`
55.7%	1	`x`
55.7%	1	`y`
55.7%	1	`(-.f64 (.f64 x y) (.f64 z y))`
55.7%	1	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
55.7%	1	`t`

Compiler

Compiled 44 to 31 computations (29.5% saved)

bsearch12.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-9.485689412118345e+97	-1.2304942417502349e+94

Samples

6.0ms

128×

valid

Compiler

Compiled 200 to 135 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (64.8% of total)

ival-sub: 1.0ms (32.4% of total)

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

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

bsearch23.0ms (0.3%)

Memory

11.7MiB live, 47.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.1006995833270704e+64	7.111543064993209e+67
8.0ms	-3.7280790206288756e-19	-6.095457529739237e-20

Samples

14.0ms

224×

valid

Compiler

Compiled 338 to 225 computations (33.4% saved)

Precisions

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

ival-mult: 4.0ms (72% of total)

ival-sub: 1.0ms (18% of total)

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

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

bsearch8.0ms (0.1%)

Memory

-19.3MiB live, 19.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1006995833270704e+64	7.111543064993209e+67
7.0ms	-3.7280790206288756e-19	-6.095457529739237e-20

Samples

4.0ms

64×

valid

Compiler

Compiled 338 to 225 computations (33.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (71.7% of total)

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

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

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

bsearch3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.1006995833270704e+64	7.111543064993209e+67
0.0ms	-3.7280790206288756e-19	-6.095457529739237e-20

Samples

1.0ms

16×

valid

Compiler

Compiled 338 to 225 computations (33.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

bsearch7.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.8635486742965953e-44	1.0294051970987481e-43

Samples

4.0ms

80×

valid

Compiler

Compiled 126 to 85 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (100.7% of total)

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

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

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

simplify12.0ms (0.1%)

Memory

-31.8MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	222
1	88	222
2	108	222
3	126	222
4	132	222
5	134	222

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 x z) y) t)
(if (<=.f64 x #s(literal -5599999999999999994654623733061519022289450761103985708623086097148884851585154108305663082889216 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (.f64 (*.f64 (-.f64 x z) t) y))
(if (<=.f64 x #s(literal -5399988732876221/20769187434139310514121985316880384 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (if (<=.f64 x #s(literal 11800000000000000573111304524360525097965506078544250696242298880 binary64)) (.f64 #s(approx (- (* x y) (* z y)) (.f64 (neg.f64 z) y)) t) (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t)))
(if (<=.f64 x #s(literal -3530761863803683/20769187434139310514121985316880384 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (if (<=.f64 x #s(literal 11999999999999999963544700647272178826878127911958975430105497600 binary64)) (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t)))
(if (<=.f64 x #s(literal -5399988732876221/20769187434139310514121985316880384 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (if (<=.f64 x #s(literal 11500000000000000025959573009090126300911740612139143939514957824 binary64)) #s(approx ( (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y)) (.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)))
(if (<=.f64 t #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)))
#s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y))

Outputs
(.f64 (.f64 (-.f64 x z) y) t)
(.f64 t (.f64 y (-.f64 x z)))
(if (<=.f64 x #s(literal -5599999999999999994654623733061519022289450761103985708623086097148884851585154108305663082889216 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (.f64 (*.f64 (-.f64 x z) t) y))
(if (<=.f64 x #s(literal -5599999999999999994654623733061519022289450761103985708623086097148884851585154108305663082889216 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (.f64 (*.f64 t (-.f64 x z)) y))
(if (<=.f64 x #s(literal -5399988732876221/20769187434139310514121985316880384 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (if (<=.f64 x #s(literal 11800000000000000573111304524360525097965506078544250696242298880 binary64)) (.f64 #s(approx (- (* x y) (* z y)) (.f64 (neg.f64 z) y)) t) (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t)))
(if (<=.f64 x #s(literal -3530761863803683/20769187434139310514121985316880384 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (if (<=.f64 x #s(literal 11999999999999999963544700647272178826878127911958975430105497600 binary64)) (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t)))
(if (<=.f64 x #s(literal -3530761863803683/20769187434139310514121985316880384 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (if (<=.f64 x #s(literal 11999999999999999963544700647272178826878127911958975430105497600 binary64)) (.f64 (.f64 t y) #s(approx (- x z) (neg.f64 z))) (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t)))
(if (<=.f64 x #s(literal -5399988732876221/20769187434139310514121985316880384 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (if (<=.f64 x #s(literal 11500000000000000025959573009090126300911740612139143939514957824 binary64)) #s(approx ( (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y)) (.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)))
(if (<=.f64 t #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 y t) x)))
(if (<=.f64 t #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y)) #s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t y) x)))
#s(approx (/ t (/ 1 (* (- x z) y))) (.f64 (.f64 t x) y))

soundness1.1s (12%)

Memory

-5.2MiB live, 656.1MiB allocated

Rules

11 204×	`lower-fma.f64`
11 204×	`lower-fma.f32`
8 312×	`lower-fma.f32`
8 310×	`lower-fma.f64`
6 374×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	798
1	194	666
2	574	666
3	2066	666
4	4663	666
5	6788	666
6	7422	666
7	7874	666
0	8135	666
0	8	22
0	12	18
1	35	18
2	237	18
3	2343	18
0	8272	18
0	204	3176
1	655	2982
2	1933	2935
3	5276	2917
0	8370	2912
0	29	127
0	47	125
1	150	115
2	852	115
0	8681	115

Stop Event

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

Compiler

Compiled 403 to 197 computations (51.1% saved)

preprocess321.0ms (3.5%)

Memory: 25.3MiB live, 490.3MiB allocated
Compiler: Compiled 486 to 222 computations (54.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample906.0ms (9.9%)

explain111.0ms (1.2%)

preprocess117.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify40.0ms (0.4%)

localize21.0ms (0.2%)

series14.0ms (0.1%)

simplify116.0ms (1.3%)

rewrite364.0ms (4%)

eval85.0ms (0.9%)

prune154.0ms (1.7%)

simplify142.0ms (1.5%)

localize56.0ms (0.6%)

series38.0ms (0.4%)

simplify191.0ms (2.1%)

rewrite566.0ms (6.2%)

eval637.0ms (7%)

prune337.0ms (3.7%)

simplify93.0ms (1%)

localize70.0ms (0.8%)

series36.0ms (0.4%)

simplify320.0ms (3.5%)

rewrite210.0ms (2.3%)

eval249.0ms (2.7%)

prune251.0ms (2.7%)

simplify178.0ms (2%)

localize61.0ms (0.7%)

series36.0ms (0.4%)

simplify214.0ms (2.3%)

rewrite522.0ms (5.7%)

eval546.0ms (6%)

prune563.0ms (6.2%)

regimes43.0ms (0.5%)

regimes52.0ms (0.6%)

regimes200.0ms (2.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes12.0ms (0.1%)

regimes94.0ms (1%)

bsearch12.0ms (0.1%)

bsearch23.0ms (0.3%)

bsearch8.0ms (0.1%)

bsearch3.0ms (0%)

bsearch7.0ms (0.1%)

simplify12.0ms (0.1%)

soundness1.1s (12%)

preprocess321.0ms (3.5%)

end0.0ms (0%)

Profiling