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

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 9 computations (0% saved)

sample1.3s (37.9%)

Memory

-11.4MiB live, 1 076.8MiB allocated

Samples

892.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-mult: 233.0ms (83.3% of total)

ival-add: 37.0ms (13.2% of total)

ival-true: 7.0ms (2.5% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain96.0ms (2.8%)

Memory

16.6MiB live, 94.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(+.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	1	0
↳	`(*.f64 x y)`	overflow	33
↳	`(*.f64 z t)`	overflow	40

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 36.0ms (92% of total)

ival-add: 2.0ms (5.1% of total)

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

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

preprocess100.0ms (2.9%)

Memory

2.9MiB live, 41.3MiB allocated

Algorithm

1×	egg-herbie

Rules

136×	`unsub-neg`
90×	`associate-r`
72×	`distribute-lft-neg-out`
70×	`distribute-lft-neg-in`
58×	`sub-neg`

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB 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))

Rules

8×	`lower-fma.f64`
8×	`lower-fma.f32`
8×	`lower-*.f32`
4×	`*-commutative`
4×	`lower-*.f64`

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

localize98.0ms (2.9%)

Memory

-2.5MiB live, 38.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z t)
accuracy	0	(*.f64 x y)
accuracy	0.20703125000000003	(+.f64 (.f64 x y) (.f64 z t))

Samples

94.0ms

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 (77.3% of total)

ival-add: 1.0ms (15.5% of total)

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

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

series8.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB 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 (* 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	t	@	inf	((+ (* x y) (* z t)) (* x y) (* z t))
1.0ms	y	@	-inf	((+ (* x y) (* z t)) (* x y) (* z t))

simplify294.0ms (8.5%)

Memory

-2.5MiB live, 114.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 166×	`lower-fma.f64`
4 166×	`lower-fma.f32`
2 650×	`lower-*.f64`
2 650×	`lower-*.f32`
1 394×	`div-sub`

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)

rewrite377.0ms (11%)

Memory

-11.8MiB live, 297.7MiB allocated

Rules

11 460×	`lower-fma.f64`
11 460×	`lower-fma.f32`
4 138×	`lower-*.f32`
4 134×	`lower-*.f64`
4 012×	`lower-/.f64`

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>
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#<batchref>

eval72.0ms (2.1%)

Memory: 8.5MiB live, 55.4MiB allocated
Compiler: Compiled 6 763 to 490 computations (92.8% saved)

prune22.0ms (0.6%)

Memory

-25.0MiB live, 14.2MiB 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
▶	100.0%	(fma.f64 z t (*.f64 y x))
▶	52.1%	#s(approx (+ (* x y) (* z t)) (*.f64 z t))
▶	52.2%	#s(approx (+ (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 14 to 18 computations (-28.6% saved)

simplify4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

8×	`lower-fma.f32`
8×	`lower-*.f32`
6×	`lower-fma.f64`
4×	`*-commutative`
4×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	15	43
1	18	43
0	18	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 z t (*.f64 y x))
z
t
(*.f64 y x)
y
x

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

localize23.0ms (0.7%)

Memory

31.9MiB live, 31.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 z t (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 z t)
accuracy	30.667515809744245	#s(approx (+ (* x y) (* z t)) (*.f64 z t))
accuracy	0	(*.f64 y x)
accuracy	30.621225981095776	#s(approx (+ (* x y) (* z t)) (*.f64 y x))

Samples

17.0ms

256×

valid

Compiler

Compiled 40 to 11 computations (72.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (65.5% of total)

ival-add: 2.0ms (26.2% of total)

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

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

series32.0ms (0.9%)

Memory

-25.3MiB live, 11.2MiB allocated

Counts

5 → 192

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

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	t	@	-inf	((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* z t) (* y x)))
1.0ms	z	@	inf	((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* z t) (* y x)))
0.0ms	z	@	-inf	((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* z t) (* y x)))
0.0ms	x	@	-inf	((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* z t) (* y x)))
0.0ms	y	@	-inf	((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* z t) (* y x)))

simplify130.0ms (3.8%)

Memory

13.4MiB live, 94.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 166×	`lower-fma.f64`
4 166×	`lower-fma.f32`
2 650×	`lower-*.f64`
2 650×	`lower-*.f32`
1 394×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	1008
1	149	1008
2	468	1008
3	1237	1008
4	3337	1008
5	5648	1008
6	7136	1008
0	8051	900

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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 (/ (* 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)
(* -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)))))
(* 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)
(* 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)
(* -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) (* 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 (/ (* 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)
(* -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))
(* 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)
(* 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)
(* -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) (* 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))

rewrite168.0ms (4.9%)

Memory

26.0MiB live, 248.5MiB allocated

Rules

6 532×	`lower-fma.f32`
6 530×	`lower-fma.f64`
4 258×	`lower-*.f32`
4 254×	`lower-*.f64`
3 666×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
0	15	32
1	46	32
2	288	32
3	3196	32
0	8128	32

Stop Event

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

Counts

5 → 220

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 z t (*.f64 y x))

Outputs
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eval54.0ms (1.6%)

Memory: -9.0MiB live, 107.6MiB allocated
Compiler: Compiled 9 299 to 682 computations (92.7% saved)

prune14.0ms (0.4%)

Memory

3.9MiB live, 41.5MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	445	0	445
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	445	3	448

Accuracy

100.0%

Counts

448 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 z t (*.f64 y x))
✓	52.1%	#s(approx (+ (* x y) (* z t)) (*.f64 z t))
✓	52.2%	#s(approx (+ (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes19.0ms (0.6%)

Memory

13.0MiB live, 46.7MiB 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 z t (*.f64 y x))
(+.f64 (.f64 x y) (.f64 z t))

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

Calls

7 calls:

6.0ms	(+.f64 (.f64 x y) (.f64 z t))
2.0ms	x
2.0ms	(*.f64 x y)
2.0ms	y
2.0ms	t

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	1	`(+.f64 (.f64 x y) (.f64 z t))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes44.0ms (1.3%)

Memory

-17.6MiB live, 43.5MiB 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:

34.0ms	(+.f64 (.f64 x y) (.f64 z t))
2.0ms	t
2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
75.8%	3	`x`
70.6%	3	`y`
74.6%	3	`z`
72.1%	3	`t`
57.2%	2	`(+.f64 (.f64 x y) (.f64 z t))`
78.3%	3	`(*.f64 x y)`
81.7%	3	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes12.0ms (0.3%)

Memory

-3.6MiB live, 35.3MiB 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:

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

Results

Accuracy	Segments	Branch
52.2%	1	`(+.f64 (.f64 x y) (.f64 z t))`
52.2%	1	`y`
52.2%	1	`t`
52.2%	1	`z`
52.2%	1	`x`
52.2%	1	`(*.f64 x y)`
52.2%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch26.0ms (0.7%)

Memory

-7.5MiB live, 71.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	80.68366937249277	272685.247157442
13.0ms	-2227097.8330706237	-1.7835838906446655e-6

Samples

12.0ms

288×

valid

Compiler

Compiled 118 to 248 computations (-110.2% saved)

Precisions

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

ival-mult: 2.0ms (51.2% of total)

ival-add: 1.0ms (25.6% of total)

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

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

simplify25.0ms (0.7%)

Memory

17.1MiB live, 59.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	62
1	20	62

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 z t) #s(literal -600000 binary64)) #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (if (<=.f64 (*.f64 z t) #s(literal 82000 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 z t (*.f64 y x))
(fma.f64 z t (*.f64 x y))
(if (<=.f64 (.f64 z t) #s(literal -600000 binary64)) #s(approx (+ ( x y) (* z t)) (.f64 z t)) (if (<=.f64 (.f64 z t) #s(literal 82000 binary64)) #s(approx (+ (* x y) (* z t)) (.f64 y x)) #s(approx (+ ( x y) (* z t)) (*.f64 z t))))
(if (<=.f64 (.f64 t z) #s(literal -600000 binary64)) #s(approx (+ ( x y) (* z t)) (.f64 t z)) (if (<=.f64 (.f64 t z) #s(literal 82000 binary64)) #s(approx (+ (* x y) (* z t)) (.f64 x y)) #s(approx (+ ( x y) (* z t)) (*.f64 t z))))
#s(approx (+ (* x y) (* z t)) (*.f64 y x))
#s(approx (+ (* x y) (* z t)) (*.f64 x y))

soundness481.0ms (14%)

Memory

-27.6MiB live, 168.8MiB allocated

Rules

11 460×	`lower-fma.f64`
11 460×	`lower-fma.f32`
4 166×	`lower-fma.f64`
4 166×	`lower-fma.f32`
4 138×	`lower-*.f32`

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)

preprocess33.0ms (1%)

Memory

2.7MiB live, 79.9MiB 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 (37.9%)

explain96.0ms (2.8%)

preprocess100.0ms (2.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize98.0ms (2.9%)

series8.0ms (0.2%)

simplify294.0ms (8.5%)

rewrite377.0ms (11%)

eval72.0ms (2.1%)

prune22.0ms (0.6%)

simplify4.0ms (0.1%)

localize23.0ms (0.7%)

series32.0ms (0.9%)

simplify130.0ms (3.8%)

rewrite168.0ms (4.9%)

eval54.0ms (1.6%)

prune14.0ms (0.4%)

regimes19.0ms (0.6%)

regimes44.0ms (1.3%)

regimes12.0ms (0.3%)

bsearch26.0ms (0.7%)

simplify25.0ms (0.7%)

soundness481.0ms (14%)

preprocess33.0ms (1%)

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