Metrics for Linear.V3:cross from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 9 to 9 computations (0% saved)

sample746.0ms (26.5%)

Memory

-22.2MiB live, 974.3MiB allocated

Samples

467.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 225.0ms

ival-mult: 154.0ms (68.3% of total)

ival-sub: 61.0ms (27.1% of total)

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

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

Bogosity

explain84.0ms (3%)

Memory

28.0MiB live, 67.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(-.f64 (.f64 x y) (.f64 z t))`
0	-	-	`y`
0	-	-	`t`
0	-	-	`(*.f64 z t)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x y) (.f64 z t))`	nan-rescue	4	0
↳	`(*.f64 x y)`	overflow	33
↳	`(*.f64 z t)`	overflow	40

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

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

ival-mult: 7.0ms (69.3% of total)

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

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

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

preprocess43.0ms (1.5%)

Memory

-6.5MiB live, 31.3MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
144×	`lower-*.f32`
140×	`lower-*.f64`
124×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	381	102
4	617	102
5	701	102
6	713	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify11.0ms (0.4%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
144×	`lower-*.f32`
140×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (1.2%)

Memory

-6.7MiB live, 31.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z t)
accuracy	0	(*.f64 x y)
accuracy	0.8593729358302059	(-.f64 (.f64 x y) (.f64 z t))

Samples

29.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sub: 16.0ms (82.2% of total)

ival-mult: 4.0ms (20.6% of total)

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

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

series14.0ms (0.5%)

Memory

-21.0MiB live, 18.4MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) t)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) t)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) t)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z 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 (* x y) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z 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 (* x y) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z 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 (* -1 (* t z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z 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 t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z 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 t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z 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
1.0ms	x	@	inf	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	z	@	inf	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	t	@	inf	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	z	@	-inf	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	t	@	0	((- (* x y) (* z t)) (* x y) (* z t))

simplify111.0ms (4%)

Memory

40.1MiB live, 150.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 952×	`lower-fma.f64`
5 952×	`lower-fma.f32`
3 064×	`lower-*.f64`
3 064×	`lower-*.f32`
1 336×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	438
1	141	438
2	387	438
3	1317	438
4	3790	438
5	6101	438
6	7969	438
0	8177	438

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite228.0ms (8.1%)

Memory

4.3MiB live, 306.1MiB allocated

Rules

10 966×	`lower-fma.f64`
10 966×	`lower-fma.f32`
4 326×	`lower-*.f32`
4 322×	`lower-*.f64`
3 818×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	30	13
2	207	13
3	1953	13
0	8325	13

Stop Event

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

Counts

3 → 230

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
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#<batchref>

eval84.0ms (3%)

Memory: -26.6MiB live, 122.5MiB allocated
Compiler: Compiled 10 426 to 664 computations (93.6% saved)

prune7.0ms (0.3%)

Memory

-8.5MiB live, 30.2MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	322	4	326
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	323	4	327

Accuracy

100.0%

Counts

327 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (neg.f64 z) t (*.f64 y x))
▶	99.2%	(fma.f64 y x (*.f64 (neg.f64 t) z))
▶	51.8%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
▶	51.5%	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 23 to 27 computations (-17.4% saved)

simplify18.0ms (0.6%)

Memory

-0.8MiB live, 44.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

208×	`lower-fma.f32`
204×	`lower-fma.f64`
144×	`lower-*.f32`
140×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	69
0	22	69
1	40	69
2	48	69
3	65	69
4	87	69
5	114	69
6	177	69
7	237	69
8	289	69
9	318	69
10	334	69
0	334	69

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (4.2%)

Memory

28.3MiB live, 105.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	0.5078069952111204	(fma.f64 (neg.f64 z) t (*.f64 y x))
accuracy	0	(*.f64 (neg.f64 t) z)
accuracy	0	(neg.f64 t)
accuracy	0.5039007452111204	(fma.f64 y x (*.f64 (neg.f64 t) z))
accuracy	0	(*.f64 (neg.f64 t) z)
accuracy	0	(neg.f64 t)
accuracy	30.84777063823178	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
accuracy	0	(*.f64 y x)
accuracy	31.033218259134554	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Samples

108.0ms

256×

valid

Compiler

Compiled 64 to 16 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (60.3% of total)

ival-add: 2.0ms (13.4% of total)

ival-neg: 2.0ms (13.4% of total)

ival-sub: 1.0ms (6.7% of total)

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

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

series14.0ms (0.5%)

Memory

-4.3MiB live, 34.0MiB allocated

Counts

8 → 264

Calls

Call 1

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

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

Calls

12 calls:

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

simplify218.0ms (7.8%)

Memory

-11.4MiB live, 137.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 984×	`lower-fma.f64`
3 984×	`lower-fma.f32`
3 832×	`lower-/.f32`
3 832×	`lower-/.f64`
2 448×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	1392
1	185	1392
2	495	1392
3	1586	1392
4	3647	1392
5	5415	1392
6	5986	1392
7	6030	1392
8	6048	1392
9	6052	1392
10	7092	1392
0	8888	1392

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

rewrite169.0ms (6%)

Memory

4.9MiB live, 164.3MiB allocated

Rules

5 110×	`lower-fma.f32`
5 106×	`lower-fma.f64`
3 562×	`lower-*.f32`
3 558×	`lower-*.f64`
1 314×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	48
0	22	48
1	85	48
2	494	48
3	5988	40
0	9516	40

Stop Event

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

Counts

8 → 386

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval136.0ms (4.8%)

Memory: 15.3MiB live, 180.6MiB allocated
Compiler: Compiled 12 540 to 670 computations (94.7% saved)

prune30.0ms (1.1%)

Memory

-4.3MiB live, 77.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	771	0	771
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	771	4	775

Accuracy

100.0%

Counts

775 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (neg.f64 z) t (*.f64 y x))
✓	99.2%	(fma.f64 y x (*.f64 (neg.f64 t) z))
✓	51.8%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
✓	51.5%	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 53 to 42 computations (20.8% saved)

regimes19.0ms (0.7%)

Memory

3.6MiB live, 40.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x (*.f64 (neg.f64 t) z))

Calls

7 calls:

4.0ms	(*.f64 x y)
2.0ms	y
2.0ms	z
2.0ms	x
2.0ms	t

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`t`
99.2%	1	`(-.f64 (.f64 x y) (.f64 z t))`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes14.0ms (0.5%)

Memory

-4.7MiB live, 34.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`t`
98.4%	1	`(-.f64 (.f64 x y) (.f64 z t))`
98.4%	1	`(*.f64 x y)`
98.4%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes15.0ms (0.5%)

Memory

-22.4MiB live, 25.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
75.1%	3	`x`
69.8%	3	`y`
74.4%	3	`z`
72.3%	3	`t`
57.8%	3	`(-.f64 (.f64 x y) (.f64 z t))`
77.5%	3	`(*.f64 x y)`
81.5%	3	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes9.0ms (0.3%)

Memory

18.9MiB live, 18.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
51.5%	1	`(-.f64 (.f64 x y) (.f64 z t))`
51.5%	1	`y`
51.5%	1	`t`
51.5%	1	`z`
51.5%	1	`x`
51.5%	1	`(*.f64 x y)`
51.5%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	80.68366937249277	272685.247157442
0.0ms	-2227097.8330706237	-1.7835838906446655e-6

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify61.0ms (2.2%)

Memory

-1.2MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
1	36	72
2	44	72
3	49	72
4	51	72

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 (neg.f64 t) z))
(-.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 (.f64 z t) #s(literal -2000000 binary64)) #s(approx (- ( x y) (* z t)) (.f64 (neg.f64 t) z)) (if (<=.f64 (.f64 z t) #s(literal 100 binary64)) #s(approx (- (* x y) (* z t)) (.f64 y x)) #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z))))
#s(approx (- (* x y) (* z t)) (*.f64 y x))

Outputs
(fma.f64 y x (*.f64 (neg.f64 t) z))
(fma.f64 y x (*.f64 z (neg.f64 t)))
(-.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 (.f64 z t) #s(literal -2000000 binary64)) #s(approx (- ( x y) (* z t)) (.f64 (neg.f64 t) z)) (if (<=.f64 (.f64 z t) #s(literal 100 binary64)) #s(approx (- (* x y) (* z t)) (.f64 y x)) #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z))))
(if (<=.f64 (.f64 z t) #s(literal -2000000 binary64)) #s(approx (- ( x y) (* z t)) (.f64 z (neg.f64 t))) (if (<=.f64 (.f64 z t) #s(literal 100 binary64)) #s(approx (- (* x y) (* z t)) (.f64 x y)) #s(approx (- ( x y) (* z t)) (*.f64 z (neg.f64 t)))))
#s(approx (- (* x y) (* z t)) (*.f64 y x))
#s(approx (- (* x y) (* z t)) (*.f64 x y))

soundness549.0ms (19.5%)

Memory

-13.4MiB live, 215.2MiB allocated

Rules

10 966×	`lower-fma.f64`
10 966×	`lower-fma.f32`
5 952×	`lower-fma.f64`
5 952×	`lower-fma.f32`
4 326×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	438
1	141	438
2	387	438
3	1317	438
4	3790	438
5	6101	438
6	7969	438
0	8177	438
0	7	13
0	10	13
1	30	13
2	207	13
3	1953	13
0	8325	13

Stop Event

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

Compiler

Compiled 68 to 44 computations (35.3% saved)

preprocess78.0ms (2.8%)

Memory

5.8MiB live, 136.2MiB allocated

Remove

(sort z t)

(sort x y)

Compiler

Compiled 214 to 162 computations (24.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	381	102
4	617	102
5	701	102
6	713	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	15	69
0	22	69
1	40	69
2	48	69
3	65	69
4	87	69
5	114	69
6	177	69
7	237	69
8	289	69
9	318	69
10	334	69
0	334	69

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	381	102
4	617	102
5	701	102
6	713	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	15	69
0	22	69
1	40	69
2	48	69
3	65	69
4	87	69
5	114	69
6	177	69
7	237	69
8	289	69
9	318	69
10	334	69
0	334	69

start0.0ms (0%)

analyze0.0ms (0%)

sample746.0ms (26.5%)

explain84.0ms (3%)

preprocess43.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify11.0ms (0.4%)

localize33.0ms (1.2%)

series14.0ms (0.5%)

simplify111.0ms (4%)

rewrite228.0ms (8.1%)

eval84.0ms (3%)

prune7.0ms (0.3%)

simplify18.0ms (0.6%)

localize117.0ms (4.2%)

series14.0ms (0.5%)

simplify218.0ms (7.8%)

rewrite169.0ms (6%)

eval136.0ms (4.8%)

prune30.0ms (1.1%)

regimes19.0ms (0.7%)

regimes14.0ms (0.5%)

regimes15.0ms (0.5%)

regimes9.0ms (0.3%)

bsearch1.0ms (0%)

simplify61.0ms (2.2%)

soundness549.0ms (19.5%)

preprocess78.0ms (2.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	381	102
4	617	102
5	701	102
6	713	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	15	69
0	22	69
1	40	69
2	48	69
3	65	69
4	87	69
5	114	69
6	177	69
7	237	69
8	289	69
9	318	69
10	334	69
0	334	69