Metrics for Linear.V3:cross from linear-1.19.1.3

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.2s (32.9%)

Memory

-37.0MiB live, 811.6MiB allocated

Samples

841.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 451.0ms

ival-mult: 351.0ms (77.8% of total)

ival-sub: 92.0ms (20.4% of total)

ival-true: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess40.0ms (1.1%)

Memory

25.5MiB live, 64.2MiB 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 x y (*.f64 z (neg.f64 t)))

Symmetry

(sort x y)

(sort z t)

explain98.0ms (2.6%)

Memory

-16.2MiB live, 145.0MiB 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	35
↳	`(*.f64 z t)`	overflow	46

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

26.0ms

512×

valid

Compiler

Compiled 60 to 32 computations (46.7% saved)

Precisions

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

ival-mult: 7.0ms (67.2% of total)

ival-sub: 3.0ms (28.8% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify16.0ms (0.4%)

Memory

-6.9MiB live, 31.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 z t)
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(-.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 x y (*.f64 z (neg.f64 t)))
(*.f64 x y)
x
y
(*.f64 z t)
z
t

localize22.0ms (0.6%)

Memory

1.7MiB live, 43.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.6%	(-.f64 (.f64 x y) (.f64 z t))

Samples

14.0ms

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: 4.0ms (82.1% of total)

ival-sub: 1.0ms (20.5% of total)

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

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

series7.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB 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
1.0ms	y	@	-inf	(* x y)
0.0ms	z	@	0	(- (* x y) (* z t))
0.0ms	x	@	0	(- (* x y) (* z t))
0.0ms	x	@	-inf	(- (* x y) (* z t))
0.0ms	x	@	inf	(- (* x y) (* z t))

simplify231.0ms (6.2%)

Memory

6.6MiB live, 275.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 952×	`lower-fma.f64`
5 952×	`lower-fma.f32`
3 066×	`lower-*.f64`
3 066×	`lower-*.f32`
1 152×	`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))
(neg.f64 (*.f64 t z))
(- (* x y) (* t z))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(- (* x y) (* t z))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(- (* x y) (* t z))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* -1 (* t z))
(neg.f64 (*.f64 t z))
(- (* x y) (* t z))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(- (* x y) (* t z))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(- (* x y) (* t z))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* x y)
(*.f64 x y)
(+ (* -1 (* t z)) (* x y))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(+ (* -1 (* t z)) (* x y))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(+ (* -1 (* t z)) (* x y))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* -1 (* t z))
(neg.f64 (*.f64 t z))
(* z (- (/ (* x y) z) t))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* z (- (/ (* x y) z) t))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* z (- (/ (* x y) z) t))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* -1 (* t z))
(neg.f64 (*.f64 t z))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* x y)
(*.f64 x y)
(+ (* -1 (* t z)) (* x y))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(+ (* -1 (* t z)) (* x y))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(+ (* -1 (* t z)) (* x y))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* -1 (* t z))
(neg.f64 (*.f64 t z))
(* t (- (/ (* x y) t) z))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* t (- (/ (* x y) t) z))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* t (- (/ (* x y) t) z))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* -1 (* t z))
(neg.f64 (*.f64 t z))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(fma.f64 t (neg.f64 z) (*.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)

rewrite404.0ms (10.8%)

Memory

14.8MiB live, 570.5MiB allocated

Algorithm

1×	batch-egg-rewrite

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

eval57.0ms (1.5%)

Memory: -14.4MiB live, 111.6MiB allocated
Compiler: Compiled 17 112 to 655 computations (96.2% saved)

prune47.0ms (1.2%)

Memory

-10.2MiB live, 103.8MiB 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
▶	99.2%	(fma.f64 y x (neg.f64 (*.f64 z t)))
▶	49.9%	#s(approx (- (* x y) (* z t)) (*.f64 x y))
▶	56.3%	#s(approx (- (* x y) (* z t)) (neg.f64 (*.f64 t z)))

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify16.0ms (0.4%)

Memory

26.8MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
0	21	55
1	39	55
2	49	55
3	72	55
4	103	55
5	162	55
6	228	55
7	294	55
8	323	55
9	339	55
0	339	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize71.0ms (1.9%)

Memory

-29.5MiB live, 52.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(neg.f64 (*.f64 z t))
✓	accuracy	99.2%	(fma.f64 y x (neg.f64 (*.f64 z t)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	49.9%	#s(approx (- (* x y) (* z t)) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(neg.f64 (*.f64 t z))
✓	accuracy	56.3%	#s(approx (- (* x y) (* z t)) (neg.f64 (*.f64 t z)))

Samples

43.0ms

256×

valid

Compiler

Compiled 49 to 14 computations (71.4% saved)

Precisions

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

ival-mult: 27.0ms (86.5% of total)

ival-neg: 2.0ms (6.4% of total)

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

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

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

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

series7.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

8 → 264

Calls

Call 1

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

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

66 calls:

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

simplify196.0ms (5.2%)

Memory

5.1MiB live, 310.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 952×	`lower-fma.f64`
5 952×	`lower-fma.f32`
3 066×	`lower-*.f64`
3 066×	`lower-*.f32`
1 152×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	1290
1	141	1290
2	387	1290
3	1312	1290
4	3787	1290
5	6115	1290
6	7989	1290
0	8009	1290

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

rewrite378.0ms (10.1%)

Memory

19.0MiB live, 502.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 424×	`lower-fma.f32`
7 422×	`lower-fma.f64`
4 974×	`lower-*.f32`
4 968×	`lower-*.f64`
2 332×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	47
0	21	49
1	69	49
2	395	41
3	4384	41
0	9050	41

Stop Event

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

Counts

8 → 443

Calls

Call 1

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

Outputs
#s(approx (- (* x y) (* z t)) (*.f64 z t))
(+.f64 (*.f64 z t) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 z t))
(exp.f64 (log.f64 (*.f64 z t)))
(exp.f64 (.f64 (log.f64 (.f64 z t)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z t))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z (.f64 t (.f64 z t)))) (.f64 z t))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z t)) (.f64 z t))
(fma.f64 z t #s(literal 0 binary64))
(fma.f64 z (neg.f64 t) #s(literal 0 binary64))
(fma.f64 z (*.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 t (neg.f64 z) #s(literal 0 binary64))
(fma.f64 t (*.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 z t) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 z t) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 z t) (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 z (.f64 t (.f64 z t))) (/.f64 #s(literal 1 binary64) (.f64 z t)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t)))) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 t (.f64 z t)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 z t) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) t #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (neg.f64 t) #s(literal 0 binary64))
(fma.f64 (neg.f64 t) z #s(literal 0 binary64))
(fma.f64 (neg.f64 t) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 z t) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) t #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 t) #s(literal -1 binary64)) z #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 (neg.f64 z))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (neg.f64 t))) (exp.f64 (log.f64 z)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (neg.f64 t))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 t)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 z t) #s(literal 0 binary64))
(neg.f64 (*.f64 z t))
(/.f64 (.f64 z (.f64 t (.f64 z t))) (.f64 z t))
(/.f64 (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t)))) (.f64 z (.f64 t (.f64 z t))))
(/.f64 (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 t (.f64 z t))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z t)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t)))))
(pow.f64 (*.f64 z t) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z t)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t)))) #s(literal -1 binary64))
(*.f64 z t)
(*.f64 z (neg.f64 t))
(.f64 z (.f64 (neg.f64 t) #s(literal -1 binary64)))
(*.f64 t z)
(*.f64 t (neg.f64 z))
(.f64 t (.f64 (neg.f64 z) #s(literal -1 binary64)))
(.f64 (.f64 z t) #s(literal -1 binary64))
(.f64 (.f64 z t) #s(literal 1 binary64))
(.f64 (.f64 z t) (exp.f64 (log.f64 #s(literal -1 binary64))))
(.f64 (.f64 z (.f64 t (.f64 z t))) (/.f64 #s(literal 1 binary64) (*.f64 z t)))
(.f64 (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t)))) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 t (*.f64 z t)))))
(.f64 #s(literal -1 binary64) (.f64 z t))
(*.f64 (neg.f64 z) t)
(*.f64 (neg.f64 z) (neg.f64 t))
(*.f64 (neg.f64 t) z)
(*.f64 (neg.f64 t) (neg.f64 z))
(.f64 #s(literal 1 binary64) (.f64 z t))
(.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) t)
(.f64 (.f64 (neg.f64 t) #s(literal -1 binary64)) z)
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 (neg.f64 z))))
(*.f64 (exp.f64 (log.f64 (neg.f64 t))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (neg.f64 t))))
(*.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 t)))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (.f64 z t))
(+.f64 (*.f64 z t) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 z t))
(exp.f64 (log.f64 (*.f64 z t)))
(exp.f64 (.f64 (log.f64 (.f64 z t)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z t))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z (.f64 t (.f64 z t)))) (.f64 z t))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z t)) (.f64 z t))
(fma.f64 z t #s(literal 0 binary64))
(fma.f64 z (neg.f64 t) #s(literal 0 binary64))
(fma.f64 z (*.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 t (neg.f64 z) #s(literal 0 binary64))
(fma.f64 t (*.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 z t) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 z t) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 z t) (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 z (.f64 t (.f64 z t))) (/.f64 #s(literal 1 binary64) (.f64 z t)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t)))) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 t (.f64 z t)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 z t) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) t #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (neg.f64 t) #s(literal 0 binary64))
(fma.f64 (neg.f64 t) z #s(literal 0 binary64))
(fma.f64 (neg.f64 t) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 z t) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) t #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 t) #s(literal -1 binary64)) z #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 (neg.f64 z))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (neg.f64 t))) (exp.f64 (log.f64 z)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (neg.f64 t))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 t)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 z t) #s(literal 0 binary64))
(neg.f64 (*.f64 z t))
(/.f64 (.f64 z (.f64 t (.f64 z t))) (.f64 z t))
(/.f64 (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t)))) (.f64 z (.f64 t (.f64 z t))))
(/.f64 (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 t (.f64 z t))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z t)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t)))))
(pow.f64 (*.f64 z t) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z t)) #s(literal -1 binary64))
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eval111.0ms (3%)

Memory: -11.7MiB live, 179.5MiB allocated
Compiler: Compiled 11 520 to 718 computations (93.8% saved)

prune215.0ms (5.8%)

Memory

-33.5MiB live, 193.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	707	0	707
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	707	3	710

Accuracy

100.0%

Counts

710 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 y x (neg.f64 (*.f64 z t)))
✓	49.9%	#s(approx (- (* x y) (* z t)) (*.f64 x y))
✓	56.3%	#s(approx (- (* x y) (* z t)) (neg.f64 (*.f64 t z)))

Compiler

Compiled 55 to 29 computations (47.3% saved)

regimes19.0ms (0.5%)

Memory

-0.7MiB live, 40.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	z
2.0ms	t
2.0ms	y
2.0ms	x
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)

regimes15.0ms (0.4%)

Memory

-4.2MiB live, 34.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	x
2.0ms	z
2.0ms	y
2.0ms	t
2.0ms	(-.f64 (.f64 x y) (.f64 z 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 45 to 33 computations (26.7% saved)

regimes12.0ms (0.3%)

Memory

30.7MiB live, 30.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
75.0%	3	`x`
72.1%	3	`y`
72.0%	3	`z`
76.1%	3	`t`
60.8%	3	`(-.f64 (.f64 x y) (.f64 z t))`
77.5%	3	`(*.f64 x y)`
80.9%	3	`(*.f64 z t)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes11.0ms (0.3%)

Memory

-8.2MiB live, 28.5MiB 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 x y))

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

Calls

7 calls:

3.0ms	(*.f64 z t)
1.0ms	z
1.0ms	t
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
49.9%	1	`(-.f64 (.f64 x y) (.f64 z t))`
49.9%	1	`z`
49.9%	1	`y`
49.9%	1	`x`
49.9%	1	`t`
49.9%	1	`(*.f64 x y)`
49.9%	1	`(*.f64 z t)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	45361541356277826000.0	3.151316501137905e+23
0.0ms	-7.892113495565215e-27	-2.5253783109115175e-27

Compiler

Compiled 14 to 14 computations (0% saved)

simplify8.0ms (0.2%)

Memory

-18.6MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
1	38	72
2	45	72
3	50	72
4	52	72

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (neg.f64 (*.f64 z t)))
(-.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 (.f64 z t) #s(literal -1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (- ( x y) (* z t)) (neg.f64 (.f64 t z))) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000000 binary64)) #s(approx (- (* x y) (* z t)) (.f64 x y)) #s(approx (- ( x y) (* z t)) (neg.f64 (*.f64 t z)))))
#s(approx (- (* x y) (* z t)) (*.f64 x y))

Outputs
(fma.f64 y x (neg.f64 (*.f64 z t)))
(fma.f64 y x (*.f64 t (neg.f64 z)))
(-.f64 (.f64 x y) (.f64 z t))
(-.f64 (.f64 y x) (.f64 z t))
(if (<=.f64 (.f64 z t) #s(literal -1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (- ( x y) (* z t)) (neg.f64 (.f64 t z))) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000000 binary64)) #s(approx (- (* x y) (* z t)) (.f64 x y)) #s(approx (- ( x y) (* z t)) (neg.f64 (*.f64 t z)))))
(if (<=.f64 (.f64 z t) #s(literal -1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (- ( x y) (* z t)) (.f64 t (neg.f64 z))) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000000 binary64)) #s(approx (- (* x y) (* z t)) (.f64 y x)) #s(approx (- ( x y) (* z t)) (*.f64 t (neg.f64 z)))))
#s(approx (- (* x y) (* z t)) (*.f64 x y))
#s(approx (- (* x y) (* z t)) (*.f64 y x))

soundness487.0ms (13%)

Memory

18.8MiB live, 257.2MiB 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	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 88 to 41 computations (53.4% saved)

preprocess39.0ms (1%)

Memory

18.9MiB live, 95.4MiB allocated

Remove

(sort z t)

(sort x y)

Compiler

Compiled 294 to 158 computations (46.3% 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	55
0	21	55
1	39	55
2	49	55
3	72	55
4	103	55
5	162	55
6	228	55
7	294	55
8	323	55
9	339	55
0	339	55

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	55
0	21	55
1	39	55
2	49	55
3	72	55
4	103	55
5	162	55
6	228	55
7	294	55
8	323	55
9	339	55
0	339	55

analyze0.0ms (0%)

sample1.2s (32.9%)

preprocess40.0ms (1.1%)

explain98.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.4%)

localize22.0ms (0.6%)

series7.0ms (0.2%)

simplify231.0ms (6.2%)

rewrite404.0ms (10.8%)

eval57.0ms (1.5%)

prune47.0ms (1.2%)

simplify16.0ms (0.4%)

localize71.0ms (1.9%)

series7.0ms (0.2%)

simplify196.0ms (5.2%)

rewrite378.0ms (10.1%)

eval111.0ms (3%)

prune215.0ms (5.8%)

regimes19.0ms (0.5%)

regimes15.0ms (0.4%)

regimes12.0ms (0.3%)

regimes11.0ms (0.3%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

soundness487.0ms (13%)

preprocess39.0ms (1%)

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	55
0	21	55
1	39	55
2	49	55
3	72	55
4	103	55
5	162	55
6	228	55
7	294	55
8	323	55
9	339	55
0	339	55