Metrics for Linear.V3:cross from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB 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)

sample814.0ms (26.6%)

Memory

17.4MiB live, 843.0MiB allocated

Samples

456.0ms

8 256×

valid

Precisions

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

ival-mult: 153.0ms (67.6% of total)

ival-sub: 64.0ms (28.3% of total)

ival-true: 6.0ms (2.7% of total)

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

Bogosity

explain184.0ms (6%)

Memory

-1.5MiB live, 75.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(-.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	2	0
↳	`(*.f64 x y)`	overflow	38
↳	`(*.f64 z t)`	overflow	27

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

87.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

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

ival-mult: 7.0ms (71.8% of total)

ival-sub: 2.0ms (20.5% of total)

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

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

preprocess88.0ms (2.9%)

Memory

-10.7MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Rules

104×	`lower-fma.f64`
104×	`lower-fma.f32`
72×	`lower-*.f32`
70×	`lower-*.f64`
62×	`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 y x (*.f64 (neg.f64 t) z))

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify12.0ms (0.4%)

Memory

10.3MiB live, 10.3MiB 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

104×	`lower-fma.f64`
104×	`lower-fma.f32`
72×	`lower-*.f32`
70×	`lower-*.f64`
32×	`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 y x (*.f64 (neg.f64 t) z))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z t)
(*.f64 t z)
z
t

localize18.0ms (0.6%)

Memory

21.0MiB live, 21.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z t)
accuracy	0	(*.f64 x y)
accuracy	0.5039021216604116	(-.f64 (.f64 x y) (.f64 z t))

Samples

12.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-mult: 3.0ms (62.4% of total)

ival-sub: 1.0ms (20.8% of total)

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

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

series64.0ms (2.1%)

Memory

-29.1MiB live, 9.4MiB 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 (* -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 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 (.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 (* -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 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 (.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 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 (* -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 (* -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 (* 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 (* -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 (* -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 (* 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 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 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 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 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 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
56.0ms	x	@	inf	(- (* x y) (* z t))
2.0ms	x	@	-inf	(- (* x y) (* z t))
1.0ms	y	@	-inf	(* x y)
0.0ms	z	@	0	(- (* x y) (* z t))
0.0ms	x	@	0	(- (* x y) (* z t))

simplify238.0ms (7.8%)

Memory

4.4MiB live, 162.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2 976×	`lower-fma.f64`
2 976×	`lower-fma.f32`
1 533×	`lower-*.f64`
1 533×	`lower-*.f32`
576×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	438
1	141	438
2	387	438
3	1312	438
4	3787	438
5	6115	438
6	7989	438
0	8009	438

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite274.0ms (9%)

Memory

1.4MiB live, 353.2MiB allocated

Rules

5 483×	`lower-fma.f64`
5 483×	`lower-fma.f32`
2 163×	`lower-*.f32`
2 161×	`lower-*.f64`
1 909×	`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
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z))) (.f64 (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t))) (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z))) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 t t) z)) (.f64 (.f64 t t) z)) (.f64 (.f64 (.f64 z z) (.f64 (.f64 (.f64 t t) z) z)) (.f64 (.f64 z z) t))))) #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 t t) z) (.f64 (.f64 z z) t)) (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y x (.f64 t z)) (.f64 (fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (.f64 t t) z) z)) (.f64 (fma.f64 y x (.f64 t z)) (fma.f64 (neg.f64 t) z (.f64 y x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (.f64 t t) z) z))))
(.f64 (pow.f64 (/.f64 (fma.f64 y x (.f64 t z)) (.f64 (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t))) (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 t t) z) z) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (.f64 t t) z) z)) (.f64 (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 x x) y)) (.f64 y y)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t))) (.f64 (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z))) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (neg.f64 t) z) (fma.f64 y x (.f64 t z)))))) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (neg.f64 t) z) (fma.f64 y x (.f64 t z)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 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 (fma.f64 y x (.f64 t z)) (fma.f64 y x (.f64 t z))) (fma.f64 y x (.f64 t z))) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t))))) (fma.f64 (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 x x) y)) (.f64 y y) (.f64 (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)) (-.f64 (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)) (.f64 (.f64 (*.f64 x x) y) y)))))
(.f64 (/.f64 (.f64 (fma.f64 y x (.f64 t z)) (fma.f64 (neg.f64 t) z (.f64 y x))) (.f64 (fma.f64 y x (.f64 t z)) (fma.f64 (neg.f64 t) z (.f64 y x)))) (fma.f64 (neg.f64 t) z (.f64 y x)))
(.f64 (/.f64 (.f64 (fma.f64 y x (.f64 t z)) (fma.f64 (neg.f64 t) z (.f64 y x))) (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)))) (fma.f64 (.f64 t z) (-.f64 (.f64 t z) (.f64 y x)) (.f64 (.f64 (*.f64 x x) y) y)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (.f64 t t) z) z)) (.f64 (fma.f64 y x (.f64 t z)) (fma.f64 (neg.f64 t) z (.f64 y x)))) (fma.f64 y x (.f64 t z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (.f64 t t) z) z))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t))) (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)))) (fma.f64 y x (.f64 t z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 t t) z) z) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (.f64 t t) z) z)) (.f64 (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 x x) y)) (.f64 y y)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t))) (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)))) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 t t) z)) (.f64 (.f64 t t) z)) (.f64 (.f64 (.f64 z z) (.f64 (.f64 (.f64 t t) z) z)) (.f64 (.f64 z z) t)))) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)))) (/.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 t t) z) (.f64 (.f64 z z) t)) (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 y x (.f64 t z)))) (.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 y x (.f64 t z))))) (.f64 (.f64 (.f64 (.f64 t t) z) (/.f64 z (fma.f64 y x (.f64 t z)))) (.f64 (.f64 (.f64 t t) z) (/.f64 z (fma.f64 y x (.f64 t z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 y x (.f64 t z))) (.f64 (.f64 (.f64 t t) z) (/.f64 z (fma.f64 y x (.f64 t z)))))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x)) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)))) (/.f64 (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x)) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z))))) (.f64 (/.f64 (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)))) (/.f64 (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) (/.f64 (.f64 (.f64 (.f64 x x) y) y) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)))) (/.f64 (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)))))))
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(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x)))) (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 t t) z) (.f64 (.f64 z z) t)) (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)))))) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 t t) z)) (.f64 (.f64 t t) z)) (.f64 (.f64 (.f64 z z) (.f64 (.f64 (.f64 t t) z) z)) (.f64 (.f64 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 t t) z) (.f64 (.f64 z z) t)) (fma.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)))))) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y x (.f64 t z)))) (/.f64 (.f64 (fma.f64 y x (.f64 t z)) (fma.f64 (neg.f64 t) z (.f64 y x))) (neg.f64 (fma.f64 y x (*.f64 t z)))))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 t z))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 t z) (.f64 y x)))
(-.f64 (.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 y x (.f64 t z)))) (.f64 (.f64 (.f64 t t) z) (/.f64 z (fma.f64 y x (.f64 t z)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x)) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)))) (/.f64 (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)))))
(-.f64 (.f64 y x) (.f64 t z))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) z (.f64 y x)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 y x (.f64 t z)))) (neg.f64 (.f64 (.f64 (.f64 t t) z) (/.f64 z (fma.f64 y x (.f64 t z))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) y) (.f64 (.f64 y y) x)) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 t t) z) (.f64 (.f64 z z) t)) (fma.f64 (.f64 (.f64 x x) y) y (.f64 (fma.f64 y x (.f64 t z)) (.f64 t z))))))
(+.f64 (.f64 (neg.f64 t) z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 (neg.f64 t) 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 t)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 t #s(literal 1 binary64)))
(*.f64 t z)
(*.f64 z t)
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 t z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 t z)))

eval76.0ms (2.5%)

Memory: -2.1MiB live, 77.8MiB allocated
Compiler: Compiled 17 112 to 668 computations (96.1% saved)

prune46.0ms (1.5%)

Memory

36.2MiB live, 111.8MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	323	3	326
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	324	3	327

Accuracy

100.0%

Counts

327 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 y x (*.f64 (neg.f64 t) z))
▶	49.9%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
▶	53.4%	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify14.0ms (0.5%)

Memory

-20.9MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

104×	`lower-fma.f32`
103×	`lower-fma.f64`
72×	`lower-*.f32`
69×	`lower-*.f64`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53
0	21	53
1	40	53
2	48	53
3	65	53
4	87	53
5	114	53
6	177	53
7	237	53
8	290	53
9	319	53
10	335	53
0	335	53

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

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

localize111.0ms (3.6%)

Memory

-15.3MiB live, 102.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 t) z)
accuracy	0	(neg.f64 t)
accuracy	0.24999724760556022	(fma.f64 y x (*.f64 (neg.f64 t) z))
accuracy	0	(*.f64 (neg.f64 z) t)
accuracy	0	(neg.f64 z)
accuracy	32.063421066420595	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
accuracy	0	(*.f64 y x)
accuracy	29.841236662935227	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Samples

65.0ms

256×

valid

Compiler

Compiled 47 to 15 computations (68.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 50.0ms (90.9% of total)

ival-neg: 2.0ms (3.6% of total)

ival-sub: 1.0ms (1.8% of total)

ival-add: 1.0ms (1.8% of total)

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

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

series34.0ms (1.1%)

Memory

-26.6MiB live, 12.8MiB allocated

Counts

8 → 240

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

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

Calls

60 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(* (neg z) t)
0.0ms	t	@	0	(* (neg z) t)
0.0ms	z	@	inf	(neg z)
0.0ms	y	@	0	(+ (* y x) (* (neg t) z))
0.0ms	t	@	inf	(neg t)

simplify178.0ms (5.8%)

Memory

30.5MiB live, 176.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 992×	`lower-fma.f64`
1 992×	`lower-fma.f32`
1 916×	`lower-/.f32`
1 916×	`lower-/.f64`
1 224×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	1194
1	185	1194
2	495	1194
3	1585	1194
4	3595	1194
5	5357	1194
6	5932	1194
7	5976	1194
8	5994	1194
9	5998	1194
10	7041	1194
0	8837	1194

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

rewrite176.0ms (5.7%)

Memory

18.9MiB live, 207.6MiB allocated

Rules

1 932×	`lower-fma.f32`
1 931×	`lower-fma.f64`
1 910×	`lower-*.f32`
1 907×	`lower-*.f64`
850×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	45
0	21	45
1	69	45
2	387	45
3	4234	37
0	8998	37

Stop Event

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

Counts

8 → 221

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

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

eval63.0ms (2%)

Memory: -5.6MiB live, 149.7MiB allocated
Compiler: Compiled 7 662 to 504 computations (93.4% saved)

prune67.0ms (2.2%)

Memory

-23.6MiB live, 111.5MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	461	0	461
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	461	3	464

Accuracy

100.0%

Counts

464 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 y x (*.f64 (neg.f64 t) z))
✓	49.9%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
✓	53.4%	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 55 to 31 computations (43.6% saved)

regimes17.0ms (0.6%)

Memory

3.7MiB live, 41.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`
99.6%	1	`(-.f64 (.f64 x y) (.f64 z t))`
99.6%	1	`(*.f64 x y)`
99.6%	1	`(*.f64 z t)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes19.0ms (0.6%)

Memory

-5.9MiB live, 36.4MiB 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 z) t))
(-.f64 (.f64 x y) (.f64 z t))

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

Calls

7 calls:

7.0ms	y
2.0ms	x
2.0ms	t
2.0ms	z
2.0ms	(*.f64 z 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 45 to 33 computations (26.7% saved)

regimes13.0ms (0.4%)

Memory

32.3MiB live, 32.3MiB 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 z) t))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
72.1%	3	`x`
76.1%	3	`y`
73.6%	3	`z`
70.6%	3	`t`
58.5%	3	`(-.f64 (.f64 x y) (.f64 z t))`
80.3%	3	`(*.f64 x y)`
78.7%	3	`(*.f64 z t)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes9.0ms (0.3%)

Memory

-9.6MiB live, 27.7MiB 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	x
1.0ms	y
1.0ms	z
1.0ms	t
1.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Accuracy	Segments	Branch
53.4%	1	`(-.f64 (.f64 x y) (.f64 z t))`
53.4%	1	`t`
53.4%	1	`x`
53.4%	1	`z`
53.4%	1	`y`
53.4%	1	`(*.f64 z t)`
53.4%	1	`(*.f64 x y)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.510837237002936e-13	7.836049929109242e-12
0.0ms	-3.4725117996684794e-45	-1.624741528370148e-52

Compiler

Compiled 14 to 14 computations (0% saved)

simplify8.0ms (0.3%)

Memory

-21.6MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	71
1	39	71
2	46	71
3	50	71
4	51	71

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 x y) #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- ( x y) (* z t)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 z) t)) #s(approx (- ( x y) (* z t)) (*.f64 y x))))
#s(approx (- (* x y) (* z t)) (*.f64 y x))

Outputs
(fma.f64 y x (*.f64 (neg.f64 t) z))
(fma.f64 y x (*.f64 (neg.f64 z) t))
(-.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 (.f64 x y) #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- ( x y) (* z t)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 z) t)) #s(approx (- ( x y) (* z t)) (*.f64 y x))))
(if (<=.f64 (.f64 x y) #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- ( x y) (* z t)) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 z) t)) #s(approx (- ( x y) (* z t)) (*.f64 x y))))
#s(approx (- (* x y) (* z t)) (*.f64 y x))
#s(approx (- (* x y) (* z t)) (*.f64 x y))

soundness495.0ms (16.2%)

Memory

20.8MiB live, 293.9MiB allocated

Rules

5 483×	`lower-fma.f64`
5 483×	`lower-fma.f32`
2 976×	`lower-fma.f64`
2 976×	`lower-fma.f32`
2 163×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	438
1	141	438
2	387	438
3	1312	438
4	3787	438
5	6115	438
6	7989	438
0	8009	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 87 to 42 computations (51.7% saved)

preprocess37.0ms (1.2%)

Memory

19.1MiB live, 96.6MiB allocated

Remove

(sort z t)

(sort x y)

Compiler

Compiled 292 to 158 computations (45.9% 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	53
0	21	53
1	40	53
2	48	53
3	65	53
4	87	53
5	114	53
6	177	53
7	237	53
8	290	53
9	319	53
10	335	53
0	335	53

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	53
0	21	53
1	40	53
2	48	53
3	65	53
4	87	53
5	114	53
6	177	53
7	237	53
8	290	53
9	319	53
10	335	53
0	335	53

start0.0ms (0%)

analyze0.0ms (0%)

sample814.0ms (26.6%)

explain184.0ms (6%)

preprocess88.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.4%)

localize18.0ms (0.6%)

series64.0ms (2.1%)

simplify238.0ms (7.8%)

rewrite274.0ms (9%)

eval76.0ms (2.5%)

prune46.0ms (1.5%)

simplify14.0ms (0.5%)

localize111.0ms (3.6%)

series34.0ms (1.1%)

simplify178.0ms (5.8%)

rewrite176.0ms (5.7%)

eval63.0ms (2%)

prune67.0ms (2.2%)

regimes17.0ms (0.6%)

regimes19.0ms (0.6%)

regimes13.0ms (0.4%)

regimes9.0ms (0.3%)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

soundness495.0ms (16.2%)

preprocess37.0ms (1.2%)

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	53
0	21	53
1	40	53
2	48	53
3	65	53
4	87	53
5	114	53
6	177	53
7	237	53
8	290	53
9	319	53
10	335	53
0	335	53