Metrics for Linear.V2:$cdot from linear-1.19.1.3, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample1.3s (36.8%)

Memory

32.6MiB live, 1 228.9MiB allocated

Samples

982.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 573.0ms

ival-mult: 523.0ms (91.3% of total)

ival-add: 40.0ms (7% of total)

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

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

Bogosity

explain67.0ms (1.9%)

Memory

-30.6MiB live, 169.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(+.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	3	0
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 z t)`	overflow	32

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (71% of total)

ival-add: 2.0ms (17.7% of total)

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

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

preprocess27.0ms (0.7%)

Memory

11.8MiB live, 50.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	76	98
2	131	98
3	297	98
4	444	98
5	572	98
6	626	98
7	638	98
0	7	7
0	10	7
1	13	7
0	13	6

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 t z (*.f64 y x))

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z t)
cost-diff	0	(*.f64 x y)
cost-diff	128	(+.f64 (.f64 x y) (.f64 z t))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	13	17
0	13	16

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

localize20.0ms (0.5%)

Memory

-2.0MiB live, 38.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z t)
accuracy	0	(*.f64 x y)
accuracy	0.6015625000000001	(+.f64 (.f64 x y) (.f64 z t))

Samples

16.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-mult: 5.0ms (78.2% of total)

ival-add: 1.0ms (15.6% of total)

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

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

series8.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

Calls

12 calls:

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

simplify93.0ms (2.6%)

Memory

-23.7MiB live, 92.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	432
1	149	432
2	468	432
3	1237	432
4	3337	432
5	5648	432
6	7136	432
0	8051	396

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite225.0ms (6.2%)

Memory

2.9MiB live, 253.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	26	13
2	182	13
3	1813	13
0	8222	12

Stop Event

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

Counts

3 → 175

Calls

Call 1

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

Outputs
#<batchref>
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#<batchref>

eval105.0ms (2.9%)

Memory: 7.3MiB live, 45.5MiB allocated
Compiler: Compiled 6 763 to 490 computations (92.8% saved)

prune86.0ms (2.4%)

Memory

-23.0MiB live, 14.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	268	3	271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	269	3	272

Accuracy

100.0%

Counts

272 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 y x (*.f64 t z))
▶	52.8%	#s(approx (+ (* x y) (* z t)) (*.f64 z t))
▶	51.4%	#s(approx (+ (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 14 to 18 computations (-28.6% saved)

simplify3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	45
0	17	43
1	22	43
0	22	43

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

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

localize25.0ms (0.7%)

Memory

31.7MiB live, 31.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 t z)
accuracy	0.49999449521112044	(fma.f64 y x (*.f64 t z))
accuracy	0	(*.f64 z t)
accuracy	30.202662043832298	#s(approx (+ (* x y) (* z t)) (*.f64 z t))
accuracy	0	(*.f64 y x)
accuracy	31.13271912062682	#s(approx (+ (* x y) (* z t)) (*.f64 y x))

Samples

19.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 7.0ms (77.3% of total)

ival-add: 2.0ms (22.1% of total)

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

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

series82.0ms (2.3%)

Memory

-30.9MiB live, 13.2MiB allocated

Counts

6 → 216

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

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

Calls

12 calls:

Time	Variable		Point	Expression
73.0ms	z	@	0	((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* y x) (* t z)) (* t z))
0.0ms	z	@	-inf	((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* y x) (* t z)) (* t z))
0.0ms	t	@	-inf	((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* y x) (* t z)) (* t z))
0.0ms	z	@	inf	((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* y x) (* t z)) (* t z))
0.0ms	x	@	-inf	((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* y x) (* t z)) (* t z))

simplify147.0ms (4%)

Memory

22.8MiB live, 58.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	1080
1	149	1080
2	468	1080
3	1237	1080
4	3337	1080
5	5648	1080
6	7136	1080
0	8051	972

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite416.0ms (11.5%)

Memory

-2.7MiB live, 182.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
0	17	35
1	55	35
2	211	35
3	1852	35
0	8297	35

Stop Event

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

Counts

6 → 189

Calls

Call 1

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

Outputs
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eval74.0ms (2%)

Memory: 16.2MiB live, 52.7MiB allocated
Compiler: Compiled 7 436 to 505 computations (93.2% saved)

prune82.0ms (2.3%)

Memory

-6.2MiB live, 50.7MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	405	0	405
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	405	3	408

Accuracy

100.0%

Counts

408 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 y x (*.f64 t z))
✓	52.8%	#s(approx (+ (* x y) (* z t)) (*.f64 z t))
✓	51.4%	#s(approx (+ (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes45.0ms (1.2%)

Memory

-10.3MiB live, 25.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

31.0ms	(*.f64 x y)
2.0ms	z
2.0ms	x
2.0ms	y
2.0ms	t

Results

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

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes18.0ms (0.5%)

Memory

-13.7MiB live, 22.6MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	x
2.0ms	y
2.0ms	z
2.0ms	t
2.0ms	(+.f64 (.f64 x y) (.f64 z t))

Results

Accuracy	Segments	Branch
74.0%	3	`x`
71.7%	3	`y`
73.9%	3	`z`
73.4%	3	`t`
59.7%	4	`(+.f64 (.f64 x y) (.f64 z t))`
76.2%	3	`(*.f64 x y)`
79.2%	3	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes10.0ms (0.3%)

Memory

21.0MiB live, 21.0MiB 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	(*.f64 x y)
1.0ms	x
1.0ms	z
1.0ms	y
1.0ms	t

Results

Accuracy	Segments	Branch
51.4%	1	`(+.f64 (.f64 x y) (.f64 z t))`
51.4%	1	`y`
51.4%	1	`t`
51.4%	1	`z`
51.4%	1	`x`
51.4%	1	`(*.f64 x y)`
51.4%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch25.0ms (0.7%)

Memory

-1.9MiB live, 36.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.846851389139904e-34	2.0955161172611737e-31
15.0ms	-9.745025737663168e-70	-4.898637851041354e-84

Samples

14.0ms

272×

valid

Compiler

Compiled 112 to 235 computations (-109.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (54.2% of total)

ival-add: 1.0ms (27.1% of total)

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

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

simplify45.0ms (1.2%)

Memory

-16.6MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	21	62

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 z t) #s(literal -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (if (<=.f64 (*.f64 z t) #s(literal 63940696633227/11417981541647679048466287755595961091061972992 binary64)) #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #s(approx (+ (* x y) (* z t)) (*.f64 z t))))

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

Outputs
(fma.f64 y x (*.f64 t z))
(fma.f64 y x (*.f64 z t))
(if (<=.f64 (.f64 z t) #s(literal -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (+ ( x y) (* z t)) (.f64 z t)) (if (<=.f64 (.f64 z t) #s(literal 63940696633227/11417981541647679048466287755595961091061972992 binary64)) #s(approx (+ (* x y) (* z t)) (.f64 y x)) #s(approx (+ ( x y) (* z t)) (*.f64 z t))))
(if (<=.f64 (.f64 z t) #s(literal -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (+ ( x y) (* z t)) (.f64 z t)) (if (<=.f64 (.f64 z t) #s(literal 63940696633227/11417981541647679048466287755595961091061972992 binary64)) #s(approx (+ (* x y) (* z t)) (.f64 x y)) #s(approx (+ ( x y) (* z t)) (*.f64 z t))))
#s(approx (+ (* x y) (* z t)) (*.f64 y x))
#s(approx (+ (* x y) (* z t)) (*.f64 x y))

soundness539.0ms (14.8%)

Memory

13.5MiB live, 244.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	432
1	149	432
2	468	432
3	1237	432
4	3337	432
5	5648	432
6	7136	432
0	8051	396
0	7	13
0	10	13
1	26	13
2	182	13
3	1813	13
0	8222	12

Stop Event

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

Compiler

Compiled 62 to 40 computations (35.5% saved)

preprocess147.0ms (4%)

Memory

-8.7MiB live, 106.0MiB allocated

Remove

(sort z t)

(sort x y)

Compiler

Compiled 154 to 116 computations (24.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	106
1	76	98
2	131	98
3	297	98
4	444	98
5	572	98
6	626	98
7	638	98
0	7	7
0	10	7
1	13	7
0	13	6

Iter	Nodes	Cost
0	36	106
1	76	98
2	131	98
3	297	98
4	444	98
5	572	98
6	626	98
7	638	98
0	7	7
0	10	7
1	13	7
0	13	6

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (36.8%)

explain67.0ms (1.9%)

preprocess27.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize20.0ms (0.5%)

series8.0ms (0.2%)

simplify93.0ms (2.6%)

rewrite225.0ms (6.2%)

eval105.0ms (2.9%)

prune86.0ms (2.4%)

simplify3.0ms (0.1%)

localize25.0ms (0.7%)

series82.0ms (2.3%)

simplify147.0ms (4%)

rewrite416.0ms (11.5%)

eval74.0ms (2%)

prune82.0ms (2.3%)

regimes45.0ms (1.2%)

regimes18.0ms (0.5%)

regimes10.0ms (0.3%)

bsearch25.0ms (0.7%)

simplify45.0ms (1.2%)

soundness539.0ms (14.8%)

preprocess147.0ms (4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	106
1	76	98
2	131	98
3	297	98
4	444	98
5	572	98
6	626	98
7	638	98
0	7	7
0	10	7
1	13	7
0	13	6